🔗 Problem

Problem: A songwriter creates a long ballad with many verses. Each verse has 162 words and he divides these into 18 lines per verse. This gives a certain number of words per line. To each line, he adds 34 more words as a refrain. What is the total number of words present in each line now?

Gemma 2B:

    To solve this problem, we need to find the number of words per line in a verse and then add the refrain of 34 words to it.

    Given information:
    - Each verse has 162 words.
    - Each verse has 18 lines.

    Step 1: Find the number of words per line in a verse.
    Number of words per line in a verse = Total words in a verse / Number of lines per verse
    Number of words per line in a verse = 162 words / 18 lines
    Number of words per line in a verse = 9 words

    Step 2: Find the total number of words per line after adding the refrain.
    Total words per line = Number of words per line in a verse + Number of words in the refrain
    Total words per line = 9 words + 34 words
    Total words per line = 43 words

    Therefore, after adding the refrain of 34 words to each line, the total number of words present in each line is 43 words.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problem, the songwriter then decides to add an extra refrain to the end of each verse. If the refrain has 39 words, determine how many words are in each line after this final addition.

Gemma 2B:

    In the previous problem, we found that each line had 43 words after adding the refrain of 34 words.

    Given information:
    - Each line has 43 words after adding the first refrain.
    - The songwriter wants to add an extra refrain of 39 words to the end of each verse.
    - Each verse has 18 lines.

    To find the total number of words in each line after adding the extra refrain, we need to divide the total words in the verse (including the extra refrain) by the number of lines per verse.

    Step 1: Find the total number of words in a verse after adding the extra refrain.
    Total words in a verse = (Number of words per line × Number of lines per verse) + Extra refrain words
    Total words in a verse = (43 words × 18 lines) + 39 words
    Total words in a verse = 774 words + 39 words
    Total words in a verse = 813 words

    Step 2: Find the number of words per line after adding the extra refrain.
    Number of words per line = Total words in a verse / Number of lines per verse
    Number of words per line = 813 words / 18 lines
    Number of words per line = 45.17 words (rounded down to 45 words)

    Therefore, after adding the extra refrain of 39 words to the end of each verse, the total number of words present in each line is 45 words.

    ### Answer: 45

Expected answer: 82

Correct? No

🔗 Follow-up

Problem: In the previous problem, the songwriter added 34 words as the refrain to each line in his song. However, what if he had decided to keep the refrain a bit shorter and added only 28 words to each line instead? How many words would each line of the song contain in that case?

Gemma 2B:

    In the previous problem, we found that each line in a verse had 9 words, and the songwriter added a refrain of 34 words to each line.

    Now, let's consider the case where the songwriter adds a shorter refrain of 28 words to each line.

    Given information:
    - Each verse has 162 words.
    - Each verse has 18 lines.
    - The refrain has 28 words.

    Step 1: Find the number of words per line in a verse (same as before).
    Number of words per line in a verse = Total words in a verse / Number of lines per verse
    Number of words per line in a verse = 162 words / 18 lines
    Number of words per line in a verse = 9 words

    Step 2: Find the total number of words per line after adding the shorter refrain of 28 words.
    Total words per line = Number of words per line in a verse + Number of words in the refrain
    Total words per line = 9 words + 28 words
    Total words per line = 37 words

    Therefore, if the songwriter adds a refrain of 28 words to each line, the total number of words present in each line of the song would be 37 words.

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Problem

Problem: A penguin biologist counted 35 penguins on a small ice floe. In another part of the Antarctic, she counted a different group of penguins and found there were approximately 598 divided evenly among 26 ice floes. After returning to the first place, she found that the penguin population had increased by 49. Wishing to conduct another survey, she decided to take 33 more penguins into account. However, when she counted them again, she realized she had overestimated and had to subtract 10 from her calculations. Her final step was to add in the penguins she’d left at her base camp, which were 20 adults and 14 chicks. How many penguins did she count in total?

Gemma 2B:

    To solve this problem, we need to break it down into smaller steps and keep track of the penguin count at each step.

    Given information:
    - Initially, there were 35 penguins on a small ice floe.
    - In another part of the Antarctic, there were 598 penguins divided evenly among 26 ice floes.
    - The penguin population at the first place increased by 49.
    - The biologist decided to take 33 more penguins into account.
    - The biologist overestimated and had to subtract 10 from her calculations.
    - At the base camp, there were 20 adult penguins and 14 chick penguins.

    Step 1: Calculate the number of penguins on the 26 ice floes.
    Number of penguins on 26 ice floes = 598

    Step 2: Calculate the total number of penguins after the population increase at the first place.
    Total penguins = Initial penguins at the first place + Population increase
    Total penguins = 35 + 49 = 84

    Step 3: Add the penguins the biologist decided to take into account.
    Total penguins = 84 + 33 = 117

    Step 4: Subtract the overestimated penguins.
    Total penguins = 117 - 10 = 107

    Step 5: Add the penguins at the base camp.
    Total penguins = 107 + 20 + 14 = 141

    Therefore, the biologist counted a total of 141 penguins.

    ### Answer: 141

Expected answer: 164

Correct? No

🔗 Problem

Problem: In a local park, a jungle gym has a total of 27 steps. If the top 19 steps are blue and rest along with another 19 steps are red, we get a certain number of colored steps. On another jungle gym, there are 34 green steps. What is the total number of colored steps on the two jungle gyms?

Gemma 2B:

    To solve this problem, we need to find the number of colored steps on the first jungle gym and then add it to the number of green steps on the second jungle gym.

    Given information:
    - The first jungle gym has a total of 27 steps.
    - The top 19 steps are blue.
    - The remaining steps along with another 19 steps are red.
    - The second jungle gym has 34 green steps.

    Step 1: Find the number of red steps on the first jungle gym.
    Total steps on the first jungle gym = 27
    Number of blue steps = 19
    Number of red steps = 27 - 19 + 19 = 27 (remaining steps + another 19 steps)

    Step 2: Find the total number of colored steps on the first jungle gym.
    Total colored steps on the first jungle gym = Number of blue steps + Number of red steps
    Total colored steps on the first jungle gym = 19 + 27 = 46

    Step 3: Find the total number of colored steps on both jungle gyms.
    Total colored steps on both jungle gyms = Total colored steps on the first jungle gym + Number of green steps on the second jungle gym
    Total colored steps on both jungle gyms = 46 + 34 = 80

    Therefore, the total number of colored steps on the two jungle gyms is 80.

    ### Answer: 80

Expected answer: 61

Correct? No

🔗 Problem

Problem: If a cloud releases 47 millimeters of rainfall per hour over a one hour period, and the average cloud typically releases 775 millimeters of rainfall over the course of 31 hours, find the amount of rainfall from the following condition. Subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23. Add this result to a constant cloud factor of 42. Add this new result to the hourly rainfall of the initial cloud and subtract 2 from it. What is the resultant millimeters of rainfall?

Gemma 2B:

    To solve this problem, we need to follow the given instructions step by step.

    Given information:
    - A cloud releases 47 millimeters of rainfall per hour over a one-hour period.
    - The average cloud typically releases 775 millimeters of rainfall over the course of 31 hours.
    - The constant cloud factor is 42.

    Step 1: Find the average rainfall of the typical cloud per hour.
    Average rainfall of the typical cloud per hour = 775 millimeters / 31 hours
    Average rainfall of the typical cloud per hour = 25 millimeters per hour

    Step 2: Subtract 22 from the average rainfall of the typical cloud per hour.
    25 millimeters per hour - 22 = 3 millimeters per hour

    Step 3: Multiply the result from Step 2 by 23.
    3 millimeters per hour × 23 = 69 millimeters

    Step 4: Add the result from Step 3 to the constant cloud factor of 42.
    69 millimeters + 42 = 111 millimeters

    Step 5: Add the result from Step 4 to the hourly rainfall of the initial cloud.
    111 millimeters + 47 millimeters per hour = 158 millimeters per hour

    Step 6: Subtract 2 from the result of Step 5.
    158 millimeters per hour - 2 = 156 millimeters per hour

    Therefore, the resultant millimeters of rainfall is 156 millimeters per hour.

    ### Answer: 156

Expected answer: 156

Correct? Yes

🔗 Follow-up

Problem: Now consider a different scenario where the initial cloud releases less rainfall, specifically 15 millimeters per hour over a one hour period. Keeping the other conditions from the previous problem the same (the average cloud releases 775 millimeters of rainfall over the course of 31 hours, subtract 22 from the average rainfall of the typical cloud per hour then multiply this by 23, add this result to a constant cloud factor of 42, and subtract 2 from the last result), how much rainfall would be produced in this scenario?

Gemma 2B:

    To solve this problem, we need to follow the same steps as the previous problem, but with the new information that the initial cloud releases 15 millimeters of rainfall per hour over a one-hour period.

    Given information:
    - A cloud releases 15 millimeters of rainfall per hour over a one-hour period.
    - The average cloud typically releases 775 millimeters of rainfall over the course of 31 hours.
    - The constant cloud factor is 42.

    Step 1: Find the average rainfall of the typical cloud per hour.
    Average rainfall of the typical cloud per hour = 775 millimeters / 31 hours
    Average rainfall of the typical cloud per hour = 25 millimeters per hour

    Step 2: Subtract 22 from the average rainfall of the typical cloud per hour.
    25 millimeters per hour - 22 = 3 millimeters per hour

    Step 3: Multiply the result from Step 2 by 23.
    3 millimeters per hour × 23 = 69 millimeters

    Step 4: Add the result from Step 3 to the constant cloud factor of 42.
    69 millimeters + 42 = 111 millimeters

    Step 5: Add the result from Step 4 to the hourly rainfall of the initial cloud.
    111 millimeters + 15 millimeters per hour = 126 millimeters per hour

    Step 6: Subtract 2 from the result of Step 5.
    126 millimeters per hour - 2 = 124 millimeters per hour

    Therefore, in this scenario, the resultant millimeters of rainfall is 124 millimeters per hour.

    ### Answer: 124

Expected answer: 124

Correct? Yes

🔗 Problem

Problem: Nadia likes to practice playing the piano. The other day she practiced for 45 minutes in the morning. In the same day, she also practiced for another 35 minutes in the afternoon and then another 35 minutes in the evening. How long did Nadia practice the piano in total that day?

Gemma 2B:

    To solve this problem, we need to add up the time Nadia spent practicing the piano in the morning, afternoon, and evening.

    Given information:
    - Nadia practiced for 45 minutes in the morning.
    - Nadia practiced for 35 minutes in the afternoon.
    - Nadia practiced for 35 minutes in the evening.

    Step 1: Add the time spent practicing in the afternoon and evening.
    Time spent practicing in the afternoon + Time spent practicing in the evening
    = 35 minutes + 35 minutes
    = 70 minutes

    Step 2: Add the time spent practicing in the morning to the time spent practicing in the afternoon and evening.
    Total time spent practicing = Time spent practicing in the morning + Time spent practicing in the afternoon and evening
    Total time spent practicing = 45 minutes + 70 minutes
    Total time spent practicing = 115 minutes

    Therefore, Nadia practiced the piano for a total of 115 minutes that day.

    ### Answer: 115

Expected answer: 115

Correct? Yes

🔗 Follow-up

Problem: Reflecting upon her previous practice sessions, Nadia thought she could do more. She decided to adjust her morning practice time from 45 minutes to 26 minutes. Still maintaining her afternoon and evening sessions at 35 minutes each, how many minutes in total would Nadia be practicing for the day with this adjustment?

Gemma 2B:

    To solve this problem, we need to find the total time Nadia will practice the piano in a day with the adjusted morning practice time.

    Given information:
    - Nadia's new morning practice time is 26 minutes.
    - Nadia's afternoon practice time is still 35 minutes.
    - Nadia's evening practice time is still 35 minutes.

    Step 1: Calculate the total time spent practicing in the afternoon and evening.
    Time spent practicing in the afternoon + Time spent practicing in the evening
    = 35 minutes + 35 minutes
    = 70 minutes

    Step 2: Calculate the total time spent practicing in a day by adding the morning practice time to the afternoon and evening practice times.
    Total time spent practicing = Time spent practicing in the morning + Time spent practicing in the afternoon and evening
    Total time spent practicing = 26 minutes + 70 minutes
    Total time spent practicing = 96 minutes

    Therefore, with the adjusted morning practice time of 26 minutes, Nadia will be practicing the piano for a total of 96 minutes in a day.

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: A popular clothing store sells dresses for $44 each. During a flash sale, they further reduce prices by a factor of 465 divided by 31. How much does a dress cost during the flash sale?

Gemma 2B:

    To solve this problem, we need to find the discount factor and then apply it to the original price of the dress.

    Given information:
    - The original price of a dress is $44.
    - The discount factor is 465 divided by 31.

    Step 1: Find the discount factor.
    Discount factor = 465 / 31
    Discount factor = 15

    Step 2: Apply the discount factor to the original price.
    Discounted price = Original price / Discount factor
    Discounted price = $44 / 15
    Discounted price = $2.93

    Therefore, during the flash sale, a dress costs $2.93.

    ### Answer: $2.93

Expected answer: 660

Correct? No

🔗 Problem

Problem: A rope maker made 46 meters of rope on Monday. On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters. However, by Wednesday, 9 meters of this rope had been damaged and was unusable. How many meters of usable rope does he have after Wednesday?

Gemma 2B:

    To solve this problem, we need to find the total length of rope made by the rope maker on Monday and Tuesday, and then subtract the damaged rope from it.

    Given information:
    - On Monday, the rope maker made 46 meters of rope.
    - On Tuesday, he made as many meters of rope as he did on Monday, plus an additional 19 meters.
    - By Wednesday, 9 meters of rope had been damaged and was unusable.

    Step 1: Find the length of rope made on Tuesday.
    Length of rope made on Tuesday = Length of rope made on Monday + 19 meters
    Length of rope made on Tuesday = 46 meters + 19 meters = 65 meters

    Step 2: Find the total length of rope made on Monday and Tuesday.
    Total length of rope made = Length of rope made on Monday + Length of rope made on Tuesday
    Total length of rope made = 46 meters + 65 meters = 111 meters

    Step 3: Find the length of usable rope after Wednesday by subtracting the damaged rope.
    Length of usable rope = Total length of rope made - Length of damaged rope
    Length of usable rope = 111 meters - 9 meters = 102 meters

    Therefore, after Wednesday, the rope maker has 102 meters of usable rope.

    ### Answer: 102

Expected answer: 56

Correct? No

🔗 Problem

Problem: Juliana bought 16 pairs of vintage earrings for a gift. Each pair costs $2. She also chose a special jewelry box that costs $25. In addition, she paid $48 for the gift wrapping service. How much did she spend in total for her gift?

Gemma 2B:

    To solve this problem, we need to find the total cost of the vintage earrings, the jewelry box, and the gift wrapping service.

    Given information:
    - Juliana bought 16 pairs of vintage earrings.
    - Each pair of vintage earrings costs $2.
    - The jewelry box costs $25.
    - The gift wrapping service costs $48.

    Step 1: Find the cost of the vintage earrings.
    Cost of vintage earrings = Number of pairs × Cost per pair
    Cost of vintage earrings = 16 × $2 = $32

    Step 2: Find the total cost by adding the cost of vintage earrings, jewelry box, and gift wrapping service.
    Total cost = Cost of vintage earrings + Cost of jewelry box + Cost of gift wrapping service
    Total cost = $32 + $25 + $48 = $105

    Therefore, Juliana spent a total of $105 for her gift.

    ### Answer: 105

Expected answer: 105

Correct? Yes

🔗 Problem

Problem: If Emma takes 60 beads and divides them equally among 3 of her friends, each friend will get a certain number of beads. She then adds 4 more beads to each friend's pile to start making necklaces. How many beads does each friend have now?

Gemma 2B:

    To solve this problem, we need to find the number of beads each friend initially received, and then add 4 more beads to that amount.

    Given information:
    - Emma has 60 beads.
    - She divides the beads equally among 3 friends.
    - She adds 4 more beads to each friend's pile.

    Step 1: Find the number of beads each friend initially received.
    Total beads / Number of friends = Beads per friend
    60 beads / 3 friends = 20 beads per friend

    Step 2: Add 4 more beads to each friend's pile.
    Beads per friend + Additional beads = Total beads per friend now
    20 beads + 4 beads = 24 beads per friend

    Therefore, each friend now has 24 beads.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: After distributing the beads among her friends, Emma realizes that she actually wanted to divide her 60 beads evenly among 28 friends instead of 3. She recalculates and then adds 4 more beads to each friend's stack after the initial division. How many beads does each friend have now?

Gemma 2B:

    To solve this problem, we need to find the number of beads each friend initially received when dividing 60 beads among 28 friends, and then add 4 more beads to that amount.

    Given information:
    - Emma has 60 beads.
    - She divides the beads equally among 28 friends.
    - She adds 4 more beads to each friend's pile.

    Step 1: Find the number of beads each friend initially received.
    Total beads / Number of friends = Beads per friend
    60 beads / 28 friends = 2 beads per friend (with a remainder of 4)

    Step 2: Add 4 more beads to each friend's pile.
    Beads per friend + Additional beads = Total beads per friend now
    2 beads + 4 beads = 6 beads per friend

    Therefore, each friend now has 6 beads.

    ### Answer: 6

Expected answer: 43/7

Correct? No

🔗 Problem

Problem: A young boy with a creative mind decided to build a kite. He started with 37 paper straws but decided that 4 were unnecessary and removed them. Later, he realized his kite was still too bulky and removed another 23 straws. He multiplied the remaining number of straws by 45, subtracted 49 from that total, and then took out 7 more straws. How many straws did the boy have left?

Gemma 2B:

    To solve this problem, we need to follow the given steps and perform the necessary calculations.

    Given information:
    - The boy started with 37 paper straws.
    - He removed 4 straws initially.
    - He then removed another 23 straws.
    - He multiplied the remaining number of straws by 45.
    - He subtracted 49 from the result.
    - He took out 7 more straws.

    Step 1: Find the number of straws after removing the initial 4 straws.
    Number of straws after removing 4 straws = 37 - 4 = 33 straws

    Step 2: Find the number of straws after removing another 23 straws.
    Number of straws after removing 23 straws = 33 - 23 = 10 straws

    Step 3: Multiply the remaining number of straws by 45.
    Number of straws multiplied by 45 = 10 × 45 = 450

    Step 4: Subtract 49 from the result.
    Number of straws after subtracting 49 = 450 - 49 = 401

    Step 5: Take out 7 more straws.
    Number of straws left = 401 - 7 = 394 straws

    Therefore, the boy had 394 straws left after all the steps.

    ### Answer: 394

Expected answer: 394

Correct? Yes

🔗 Follow-up

Problem: After reflecting on his kite design, the young boy realized he made a mistake. When he multiplied the number of remaining paper straws by 45, he should have subtracted 25, not 49. If he corrects this calculation error and takes out 7 final straws as before, how many straws does he have now for his kite?

Gemma 2B:

    Okay, let's recalculate the problem with the corrected information.

    Given information:
    - The boy started with 37 paper straws.
    - He removed 4 straws initially.
    - He then removed another 23 straws.
    - He multiplied the remaining number of straws by 45.
    - He should have subtracted 25 from the result, not 49.
    - He took out 7 more straws.

    Step 1: Find the number of straws after removing the initial 4 straws.
    Number of straws after removing 4 straws = 37 - 4 = 33 straws

    Step 2: Find the number of straws after removing another 23 straws.
    Number of straws after removing 23 straws = 33 - 23 = 10 straws

    Step 3: Multiply the remaining number of straws by 45.
    Number of straws multiplied by 45 = 10 × 45 = 450

    Step 4: Subtract 25 from the result (corrected calculation).
    Number of straws after subtracting 25 = 450 - 25 = 425

    Step 5: Take out 7 more straws.
    Number of straws left = 425 - 7 = 418 straws

    Therefore, after correcting the calculation error, the boy has 418 straws left for his kite.

    ### Answer: 418

Expected answer: 418

Correct? Yes

🔗 Problem

Problem: At the zoo, there were 2 trips being hosted. Each trip was allowed to see 2 animals. However, each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3. If each baby animal could be photographed 21 times, how many photos could be taken in total? Also, if 34 photos were spoiled and unusable out of the entire batch, but guests were given the opportunity to take an additional 30 photos later, how many usable photos would there be in total?

Gemma 2B:

    To solve this problem, we need to find the total number of photos that could be taken initially, and then subtract the spoiled photos and add the additional photos taken later.

    Given information:
    - There were 2 trips, and each trip was allowed to see 2 animals.
    - Each animal had 3 baby animals with them, making the number of animals seen per trip multiplied by 3.
    - Each baby animal could be photographed 21 times.
    - 34 photos were spoiled and unusable.
    - Guests were given the opportunity to take an additional 30 photos later.

    Step 1: Find the total number of animals seen on both trips.
    Number of animals seen per trip = 2 animals × (1 + 3 baby animals) = 8 animals
    Total number of animals seen on both trips = 8 animals × 2 trips = 16 animals

    Step 2: Find the total number of photos that could be taken initially.
    Number of photos per baby animal = 21 photos
    Total number of baby animals = 16 animals × 3 baby animals per animal = 48 baby animals
    Total number of photos that could be taken initially = 48 baby animals × 21 photos per baby animal = 1,008 photos

    Step 3: Find the number of usable photos after subtracting the spoiled photos and adding the additional photos.
    Number of usable photos = Total number of photos initially - Spoiled photos + Additional photos
    Number of usable photos = 1,008 photos - 34 spoiled photos + 30 additional photos
    Number of usable photos = 1,004 photos

    Therefore, there would be 1,004 usable photos in total.

    ### Answer: 1004

Expected answer: 248

Correct? No

🔗 Problem

Problem: In a literacy event, a group of learners were asked to write a word from letters. In the first round, they could form a word with 47 letters, but due to a mistake, they had to remove 30 letters. Then, they figured out they could still add 10 more letters to this word. In the next round, they removed 3 of these letters from the updated word. How many letters were there in the word after this last deletion?

Gemma 2B:

    To solve this problem, we need to follow the given steps and keep track of the number of letters in the word.

    Given information:
    - In the first round, they could form a word with 47 letters.
    - They had to remove 30 letters due to a mistake.
    - They added 10 more letters to the remaining word.
    - In the next round, they removed 3 letters from the updated word.

    Step 1: Find the number of letters after removing 30 letters from the initial word.
    Number of letters after removing 30 letters = 47 - 30 = 17 letters

    Step 2: Find the number of letters after adding 10 more letters to the remaining word.
    Number of letters after adding 10 letters = 17 + 10 = 27 letters

    Step 3: Find the number of letters after removing 3 letters from the updated word.
    Number of letters after removing 3 letters = 27 - 3 = 24 letters

    Therefore, after the last deletion, there were 24 letters in the word.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: In the continuation of the literacy event, the learners had the opportunity to add more letters to the word after the last deletion. They decided to add 39 more letters. How many letters were in the word after this final addition?

Gemma 2B:

    To solve this problem, we need to find the number of letters in the word after the final addition.

    Given information:
    - After the last deletion, there were 24 letters in the word.
    - The learners decided to add 39 more letters to the word.

    Step 1: Find the number of letters in the word after adding 39 more letters.
    Number of letters after adding 39 letters = 24 + 39 = 63 letters

    Therefore, after the final addition of 39 letters, there were 63 letters in the word.

    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Follow-up

Problem: In revisiting the literacy event, let's consider a different scenario. When the learners formed the word with 47 letters and due to a mistake had to remove 30, instead of adding 10 letters, what if they added only 10 - 16 = -6 letters? What would the total number of letters be in the word after this change?

Gemma 2B:

    Okay, let's revisit the scenario with the new information.

    Given information:
    - In the first round, they could form a word with 47 letters.
    - They had to remove 30 letters due to a mistake.
    - Instead of adding 10 letters, they added 10 - 16 = -6 letters.

    Step 1: Find the number of letters after removing 30 letters from the initial word.
    Number of letters after removing 30 letters = 47 - 30 = 17 letters

    Step 2: Find the number of letters after adding -6 letters (subtracting 6 letters) to the remaining word.
    Number of letters after adding -6 letters = 17 + (-6) = 17 - 6 = 11 letters

    Therefore, after subtracting 6 letters from the remaining word, there would be 11 letters in the word.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A turtle named Tommy moves at 74/37 miles per hour. If Tommy maintains his current speed for a while then slows down by 3 mph, then speeds up to his initial speed again, what would be his average speed?

Gemma 2B:

    To solve this problem, we need to find the average speed of Tommy the turtle over the entire journey, considering the changes in speed.

    Given information:
    - Tommy's initial speed = 74/37 miles per hour (mph)
    - Tommy slows down by 3 mph
    - Tommy speeds up to his initial speed again

    Step 1: Convert Tommy's initial speed to a decimal value.
    Initial speed = 74/37 mph = 2 mph

    Step 2: Find the speed after slowing down.
    Speed after slowing down = Initial speed - 3 mph
    Speed after slowing down = 2 mph - 3 mph = -1 mph

    Step 3: Find the average speed over the entire journey.
    Average speed = (Initial speed + Speed after slowing down + Initial speed) / 3
    Average speed = (2 mph + (-1 mph) + 2 mph) / 3
    Average speed = 3 mph / 3
    Average speed = 1 mph

    Therefore, Tommy's average speed over the entire journey, considering the changes in speed, is 1 mph.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Liam has 40 sets of building blocks. Each set contains 16 blocks. How many building blocks does Liam have in total?

Gemma 2B:

    To solve this problem, we need to find the total number of building blocks Liam has by multiplying the number of sets by the number of blocks in each set.

    Given information:
    - Liam has 40 sets of building blocks.
    - Each set contains 16 blocks.

    Step 1: Multiply the number of sets by the number of blocks in each set.
    Total number of building blocks = Number of sets × Number of blocks in each set
    Total number of building blocks = 40 × 16

    Step 2: Calculate the total number of building blocks.
    Total number of building blocks = 40 × 16
    Total number of building blocks = 640

    Therefore, Liam has a total of 640 building blocks.

    ### Answer: 640

Expected answer: 640

Correct? Yes

🔗 Follow-up

Problem: After counting all the building blocks, Liam decides to give away 25 to his friend. How many building blocks does Liam have left after giving some to his friend?

Gemma 2B:

    To solve this problem, we need to find the number of building blocks Liam has left after giving away 25 to his friend.

    Given information:
    - Liam initially had 640 building blocks.
    - Liam gave away 25 building blocks to his friend.

    Step 1: Subtract the number of building blocks Liam gave away from the initial number of building blocks.
    Number of building blocks left = Initial number of building blocks - Number of building blocks given away
    Number of building blocks left = 640 - 25

    Step 2: Calculate the number of building blocks left.
    Number of building blocks left = 640 - 25
    Number of building blocks left = 615

    Therefore, after giving away 25 building blocks to his friend, Liam has 615 building blocks left.

    ### Answer: 615

Expected answer: 615

Correct? Yes

🔗 Follow-up

Problem: What if Liam only had 38 sets of building blocks instead of 40? How many building blocks would he have in that case?

Gemma 2B:

    Okay, let's solve this problem with the new information.

    Given information:
    - Liam has 38 sets of building blocks.
    - Each set contains 16 blocks.

    Step 1: Multiply the number of sets by the number of blocks in each set.
    Total number of building blocks = Number of sets × Number of blocks in each set
    Total number of building blocks = 38 × 16

    Step 2: Calculate the total number of building blocks.
    Total number of building blocks = 38 × 16
    Total number of building blocks = 608

    Therefore, if Liam had 38 sets of building blocks instead of 40, he would have a total of 608 building blocks.

    ### Answer: 608

Expected answer: 608

Correct? Yes

🔗 Problem

Problem: John has 24 pencils. Then he bought more such that the number of pencils he has now is equal to the number of what he had plus 7. How many pencils does John have now?

Gemma 2B:

    To solve this problem, we need to find the number of pencils John bought and add it to the initial number of pencils he had.

    Given information:
    - John initially had 24 pencils.
    - The number of pencils he has now is equal to the number he had initially plus 7.

    Let's represent the number of pencils John bought as x.

    According to the given information, we can write an equation:
    24 + x = 24 + 7
    x = 7

    Therefore, John bought 7 pencils.

    To find the total number of pencils John has now, we add the number of pencils he bought (7) to the initial number of pencils he had (24).

    Total number of pencils John has now = 24 + 7 = 31

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: After having a total of 31 pencils, John received a gift box with an additional 26 pencils. How many pencils does he have now?

Gemma 2B:

    To solve this problem, we need to find the total number of pencils John has after receiving the gift box with 26 additional pencils.

    Given information:
    - John initially had 31 pencils.
    - He received a gift box with 26 additional pencils.

    To find the total number of pencils John has now, we need to add the number of pencils he had initially (31) and the number of pencils he received in the gift box (26).

    Total number of pencils John has now = Initial number of pencils + Number of pencils received in the gift box
    Total number of pencils John has now = 31 + 26
    Total number of pencils John has now = 57

    ### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: Suppose originally, John only had 2 pencils instead of 24 and then he bought more such that the number of pencils he has now is equal to the number of pencils he had plus 7. How many pencils does John have now?

Gemma 2B:

    Okay, let's solve this problem with the new information.

    Given information:
    - John initially had 2 pencils.
    - The number of pencils he has now is equal to the number he had initially plus 7.

    Let's represent the number of pencils John bought as x.

    According to the given information, we can write an equation:
    2 + x = 2 + 7
    x = 7

    Therefore, John bought 7 pencils.

    To find the total number of pencils John has now, we add the number of pencils he bought (7) to the initial number of pencils he had (2).

    Total number of pencils John has now = 2 + 7 = 9

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: The snowfall in City A, which lasts for 50 days, is currently 36 days in. In City B, there is a unique snow pattern where for every 14 days, it snows 98 inches. The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B. However, the snow removal has been keeping up and has managed to remove an amount of snow equal to the average daily snowfall in City B. How much snow in inches is left in City A after the snow removal?

Gemma 2B:

    To solve this problem, we need to find the remaining snowfall days in City A, the average daily snowfall in City B, and then calculate the total snowfall in City A and subtract the amount of snow removed.

    Given information:
    - The snowfall in City A lasts for 50 days.
    - The current snowfall in City A is 36 days in.
    - In City B, for every 14 days, it snows 98 inches.
    - The total snowfall in inches in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in inches in City B.
    - The snow removal has managed to remove an amount of snow equal to the average daily snowfall in City B.

    Step 1: Find the remaining snowfall days in City A.
    Remaining snowfall days in City A = Total snowfall days in City A - Current snowfall days in City A
    Remaining snowfall days in City A = 50 - 36 = 14 days

    Step 2: Find the average daily snowfall in inches in City B.
    Average daily snowfall in City B = Total snowfall in 14 days in City B / 14 days
    Average daily snowfall in City B = 98 inches / 14 days = 7 inches per day

    Step 3: Calculate the total snowfall in City A.
    Total snowfall in City A = Remaining snowfall days in City A × Average daily snowfall in City B
    Total snowfall in City A = 14 days × 7 inches per day = 98 inches

    Step 4: Calculate the amount of snow removed in City A.
    Amount of snow removed in City A = Average daily snowfall in City B
    Amount of snow removed in City A = 7 inches

    Step 5: Calculate the amount of snow left in City A after the snow removal.
    Amount of snow left in City A = Total snowfall in City A - Amount of snow removed in City A
    Amount of snow left in City A = 98 inches - 7 inches = 91 inches

    ### Answer: 91 inches

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: A pirate finds 28 rubies on the first day of his treasure hunt. On the second day, he finds another haul of rubies equal to the first day's find plus an additional 21 rubies. How many rubies does the pirate have in total after the second day?

Gemma 2B:

    To solve this problem, we need to find the number of rubies the pirate found on the second day and then add it to the number of rubies he found on the first day.

    Given information:
    - On the first day, the pirate found 28 rubies.
    - On the second day, he found another haul of rubies equal to the first day's find plus an additional 21 rubies.

    Step 1: Find the number of rubies the pirate found on the second day.
    Number of rubies found on the second day = Number of rubies found on the first day + Additional rubies
    Number of rubies found on the second day = 28 + 21
    Number of rubies found on the second day = 49 rubies

    Step 2: Find the total number of rubies the pirate has after the second day.
    Total number of rubies = Number of rubies found on the first day + Number of rubies found on the second day
    Total number of rubies = 28 + 49
    Total number of rubies = 77 rubies

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: After the second day, the pirate continues his adventure and stumbles upon a third treasure chest containing 29 additional rubies. Unfortunately, he drops and loses 36 rubies while escaping a group of rival pirates. How many rubies does he have in total now?

Gemma 2B:

    To solve this problem, we need to find the total number of rubies the pirate had after the second day, add the rubies found in the third treasure chest, and then subtract the rubies lost while escaping the rival pirates.

    Given information:
    - After the second day, the pirate had 77 rubies.
    - On the third day, he found 29 additional rubies in a treasure chest.
    - While escaping rival pirates, he lost 36 rubies.

    Step 1: Find the total number of rubies the pirate had after finding the third treasure chest.
    Total number of rubies after the third day = Total number of rubies after the second day + Rubies found in the third treasure chest
    Total number of rubies after the third day = 77 + 29
    Total number of rubies after the third day = 106 rubies

    Step 2: Find the total number of rubies the pirate has after losing some rubies while escaping the rival pirates.
    Total number of rubies after losing some = Total number of rubies after the third day - Rubies lost while escaping
    Total number of rubies after losing some = 106 - 36
    Total number of rubies after losing some = 70 rubies

    ### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: After reflecting on his loss, the pirate remembers that, on the first day, he actually only found 6 rubies, not 28. On the second day, he still found a number of rubies equal to what he found on the first day plus an additional 21 rubies. How many rubies did the pirate have in total after the second day, taking this into account?

Gemma 2B:

    Okay, let's recalculate the total number of rubies the pirate had after the second day, considering the updated information.

    Given information:
    - On the first day, the pirate found 6 rubies (not 28).
    - On the second day, he found a number of rubies equal to what he found on the first day plus an additional 21 rubies.

    Step 1: Find the number of rubies the pirate found on the second day.
    Number of rubies found on the second day = Number of rubies found on the first day + Additional rubies
    Number of rubies found on the second day = 6 + 21
    Number of rubies found on the second day = 27 rubies

    Step 2: Find the total number of rubies the pirate has after the second day.
    Total number of rubies = Number of rubies found on the first day + Number of rubies found on the second day
    Total number of rubies = 6 + 27
    Total number of rubies = 33 rubies

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: There were 47 inches of snowfall in January and an additional 7 inches in early February. On February 15th, there was an additional 17 inches of snowfall. Then, 48 inches of snow fell in March. In April, we had an additional 31 inches of snowfall early on, but then 27 inches melted by the end of the month. How many inches of snow does this sum up to at the end of April?

Gemma 2B:

    To solve this problem, we need to add up all the snowfall and subtract the amount of snow that melted.

    Given information:
    - January: 47 inches of snowfall
    - Early February: 7 inches of snowfall
    - February 15th: 17 inches of snowfall
    - March: 48 inches of snowfall
    - Early April: 31 inches of snowfall
    - End of April: 27 inches of snow melted

    Step 1: Add up all the snowfall.
    Total snowfall = 47 inches + 7 inches + 17 inches + 48 inches + 31 inches
    Total snowfall = 150 inches

    Step 2: Subtract the amount of snow that melted.
    Total snow at the end of April = Total snowfall - Snow melted
    Total snow at the end of April = 150 inches - 27 inches
    Total snow at the end of April = 123 inches

    Therefore, the total amount of snow at the end of April is 123 inches.

    ### Answer: 123

Expected answer: 123

Correct? Yes

🔗 Follow-up

Problem: Following the same snowfall pattern, but this time if April were to receive a slightly higher snowfall, with an additional 44 inches of snowfall early on, but then 27 inches melted by the end of the month, how many inches of snow would this sum up to at the end of April now?

Gemma 2B:

    Okay, let's solve this problem step-by-step:

    Given information:
    - January: 47 inches of snowfall
    - Early February: 7 inches of snowfall
    - February 15th: 17 inches of snowfall
    - March: 48 inches of snowfall
    - Early April: 31 inches + 44 inches = 75 inches of snowfall
    - End of April: 27 inches of snow melted

    Step 1: Add up all the snowfall.
    Total snowfall = 47 inches + 7 inches + 17 inches + 48 inches + 75 inches
    Total snowfall = 194 inches

    Step 2: Subtract the amount of snow that melted.
    Total snow at the end of April = Total snowfall - Snow melted
    Total snow at the end of April = 194 inches - 27 inches
    Total snow at the end of April = 167 inches

    Therefore, with the additional 44 inches of snowfall in early April, the total amount of snow at the end of April is 167 inches.

    ### Answer: 167

Expected answer: 136

Correct? No

🔗 Problem

Problem: At a fair, a vendor sold balloons. On a particularly busy day, he sold 46 balloons every hour for 11 hours straight. After the fair had closed, he ended up selling an additional 31 balloons to some stragglers. How many balloons did he sell in total that day?

Gemma 2B:

    To solve this problem, we need to find the total number of balloons sold during the 11 hours of the fair and then add the additional balloons sold after the fair closed.

    Given information:
    - The vendor sold 46 balloons every hour for 11 hours straight.
    - After the fair closed, the vendor sold an additional 31 balloons.

    Step 1: Find the total number of balloons sold during the 11 hours of the fair.
    Number of balloons sold per hour × Number of hours = Total balloons sold during the fair
    46 balloons × 11 hours = 506 balloons

    Step 2: Find the total number of balloons sold by adding the balloons sold during the fair and the additional balloons sold after the fair closed.
    Total balloons sold during the fair + Additional balloons sold after the fair closed = Total balloons sold
    506 balloons + 31 balloons = 537 balloons

    Therefore, the vendor sold a total of 537 balloons that day.

    ### Answer: 537

Expected answer: 537

Correct? Yes

🔗 Problem

Problem: Mary and John decided to play a game of cards. In the first game, Mary scored 31 points and John scored 39 points. In the second game, their combined score was increased by 35 more points. During a special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23. What was their final score in the special round?

Gemma 2B:

    To solve this problem, we need to find the combined score of Mary and John after the second game, and then multiply it by the difference between 27 and the number of cards left in the deck.

    Given information:
    - In the first game, Mary scored 31 points, and John scored 39 points.
    - In the second game, their combined score increased by 35 points.
    - In the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23.

    Step 1: Find the combined score of Mary and John after the first game.
    Combined score after the first game = Mary's score + John's score
    Combined score after the first game = 31 + 39 = 70 points

    Step 2: Find the combined score of Mary and John after the second game.
    Combined score after the second game = Combined score after the first game + Increase in score
    Combined score after the second game = 70 + 35 = 105 points

    Step 3: Find the multiplier for the special round.
    Multiplier = Difference between 27 and the number of cards left in the deck
    Multiplier = 27 - 23 = 4

    Step 4: Calculate the final score in the special round.
    Final score in the special round = Combined score after the second game × Multiplier
    Final score in the special round = 105 × 4 = 420 points

    Therefore, their final score in the special round was 420 points.

    ### Answer: 420

Expected answer: 420

Correct? Yes

🔗 Follow-up

Problem: After the special round in their card game, Mary and John discovered two extra points they hadn't accounted for earlier. After adding these extra points to their score, what was their final combined score?

Gemma 2B:

    In the previous problem, we found that Mary and John's final score in the special round was 420 points.

    Given information:
    - Mary and John discovered two extra points they hadn't accounted for earlier.

    To find their final combined score, we need to add these two extra points to their score from the special round.

    Step 1: Add the two extra points to their score from the special round.
    Final combined score = Score from the special round + Extra points
    Final combined score = 420 + 2 = 422 points

    Therefore, after adding the two extra points they hadn't accounted for earlier, Mary and John's final combined score was 422 points.

    ### Answer: 422

Expected answer: 422

Correct? Yes

🔗 Follow-up

Problem: Given the same card game situation, suppose that in the second game, Mary and John’s combined score increased by 50 points instead of 35. Following the same rule in their special round, where they multiplied their score by the difference between 27 and the number of cards left in the deck (which was 23), what would their final score be in this case?

Gemma 2B:

    To solve this problem, we need to find the combined score of Mary and John after the second game, and then multiply it by the difference between 27 and the number of cards left in the deck.

    Given information:
    - In the first game, Mary scored 31 points, and John scored 39 points.
    - In the second game, their combined score increased by 50 points.
    - In the special round, they could multiply their score by the difference between 27 and the number of cards left in the deck, which was 23.

    Step 1: Find the combined score of Mary and John after the first game.
    Combined score after the first game = Mary's score + John's score
    Combined score after the first game = 31 + 39 = 70 points

    Step 2: Find the combined score of Mary and John after the second game.
    Combined score after the second game = Combined score after the first game + Increase in score
    Combined score after the second game = 70 + 50 = 120 points

    Step 3: Find the multiplier for the special round.
    Multiplier = Difference between 27 and the number of cards left in the deck
    Multiplier = 27 - 23 = 4

    Step 4: Calculate the final score in the special round.
    Final score in the special round = Combined score after the second game × Multiplier
    Final score in the special round = 120 × 4 = 480 points

    Therefore, their final score in the special round would be 480 points.

    ### Answer: 480

Expected answer: 480

Correct? Yes

🔗 Problem

Problem: A furniture company manufactured 17 upholstered seats and 18 wooden seats in the morning, and then produced another 29 in the afternoon. They repeated this production in the evening. Later on, they gave away 48 chairs to charity and used 7 chairs for quality testing. How many chairs are left after these operations?

Gemma 2B:

    To solve this problem, we need to find the total number of chairs produced and then subtract the number of chairs given away and used for quality testing.

    Given information:
    - In the morning, the company manufactured 17 upholstered seats and 18 wooden seats.
    - In the afternoon, the company produced another 29 chairs.
    - The same production was repeated in the evening.
    - 48 chairs were given away to charity.
    - 7 chairs were used for quality testing.

    Step 1: Find the total number of chairs produced in the morning and afternoon.
    Chairs produced in the morning = 17 upholstered seats + 18 wooden seats = 35 chairs
    Chairs produced in the afternoon = 29 chairs
    Total chairs produced in the morning and afternoon = 35 + 29 = 64 chairs

    Step 2: Find the total number of chairs produced in the entire day.
    Total chairs produced = (Chairs produced in the morning and afternoon) × 2
    Total chairs produced = 64 × 2 = 128 chairs

    Step 3: Subtract the number of chairs given away and used for quality testing.
    Chairs remaining = Total chairs produced - Chairs given away - Chairs used for quality testing
    Chairs remaining = 128 - 48 - 7 = 73 chairs

    Therefore, after giving away 48 chairs to charity and using 7 chairs for quality testing, there are 73 chairs left.

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Follow-up

Problem: Continuing from the last example, suppose the furniture company only crafted 15 wooden seats in the morning instead of 18 but kept the rest of operations unchanged. After repeating the same production, donating 48 chairs to charity, and using 7 for quality testing, how many chairs will be the company left with?

Gemma 2B:

    To solve this problem, we need to find the total number of chairs produced with the updated information and then subtract the number of chairs given away and used for quality testing.

    Given information:
    - In the morning, the company manufactured 17 upholstered seats and 15 wooden seats (instead of 18).
    - In the afternoon, the company produced another 29 chairs.
    - The same production was repeated in the evening.
    - 48 chairs were given away to charity.
    - 7 chairs were used for quality testing.

    Step 1: Find the total number of chairs produced in the morning and afternoon.
    Chairs produced in the morning = 17 upholstered seats + 15 wooden seats = 32 chairs
    Chairs produced in the afternoon = 29 chairs
    Total chairs produced in the morning and afternoon = 32 + 29 = 61 chairs

    Step 2: Find the total number of chairs produced in the entire day.
    Total chairs produced = (Chairs produced in the morning and afternoon) × 2
    Total chairs produced = 61 × 2 = 122 chairs

    Step 3: Subtract the number of chairs given away and used for quality testing.
    Chairs remaining = Total chairs produced - Chairs given away - Chairs used for quality testing
    Chairs remaining = 122 - 48 - 7 = 67 chairs

    Therefore, after giving away 48 chairs to charity and using 7 chairs for quality testing, with the updated information of 15 wooden seats crafted in the morning, the company will be left with 67 chairs.

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

Problem: On a popular jungle gym, there are 46 monkey bars and 18 swinging ropes for the kids to play on. Nearby, a larger jungle gym was recently built to accommodate more kids. The new jungle gym contains 2 extra long zip lines and 20 regular zip lines, each requiring 31 special hooks to install. How many more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym?

Gemma 2B:

    To solve this problem, we need to find the total number of play components on the popular jungle gym and the total number of hooks used in the new jungle gym, and then calculate the difference.

    Given information:
    - The popular jungle gym has 46 monkey bars and 18 swinging ropes.
    - The new jungle gym has 2 extra long zip lines and 20 regular zip lines.
    - Each regular zip line requires 31 special hooks to install.

    Step 1: Find the total number of play components on the popular jungle gym.
    Total play components on the popular jungle gym = Number of monkey bars + Number of swinging ropes
    Total play components on the popular jungle gym = 46 + 18 = 64

    Step 2: Find the total number of hooks used in the new jungle gym.
    Total hooks used in the new jungle gym = (Number of extra long zip lines × 31) + (Number of regular zip lines × 31)
    Total hooks used in the new jungle gym = (2 × 31) + (20 × 31)
    Total hooks used in the new jungle gym = 62 + 620 = 682

    Step 3: Calculate the difference between the total hooks used in the new jungle gym and the total play components on the popular jungle gym.
    Difference = Total hooks used in the new jungle gym - Total play components on the popular jungle gym
    Difference = 682 - 64 = 618

    Therefore, 618 more hooks were used in the new jungle gym compared to the number of play components on the popular jungle gym.

    ### Answer: 618

Expected answer: 618

Correct? Yes

🔗 Problem

Problem: John has saved $168 and he decides to divide it evenly between 21 days. After doing so, he then gets an additional $47 from his job. He then receives another amount of money which is the sum of $12 and $45. How much money does John have now?

Gemma 2B:

    To solve this problem, we need to find the amount of money John has after receiving all the additional amounts.

    Given information:
    - John initially had $168.
    - He divided $168 evenly between 21 days.
    - He received an additional $47 from his job.
    - He received another amount of money which is the sum of $12 and $45.

    Step 1: Find the amount of money John had after dividing $168 evenly between 21 days.
    Amount of money per day = $168 / 21 = $8
    Amount of money left after 21 days = $168 - (21 × $8) = $0

    Step 2: Add the additional $47 from his job.
    Amount of money after receiving $47 = $0 + $47 = $47

    Step 3: Add the additional amount of money which is the sum of $12 and $45.
    Additional amount = $12 + $45 = $57
    Total amount of money John has now = $47 + $57 = $104

    Therefore, John has $104 now.

    ### Answer: 104

Expected answer: 112

Correct? No

🔗 Problem

Problem: A robot can stack 32 boxes in 1 minute. If it works non-stop for 4 minutes and then picks up 1 extra box, how many boxes will this robot have stacked in total?

Gemma 2B:

    To solve this problem, we need to find the number of boxes the robot can stack in 4 minutes and then add the extra box.

    Given information:
    - The robot can stack 32 boxes in 1 minute.
    - The robot works non-stop for 4 minutes.
    - The robot picks up 1 extra box after working for 4 minutes.

    Step 1: Find the number of boxes the robot can stack in 4 minutes.
    Number of boxes stacked in 4 minutes = Number of boxes stacked in 1 minute × 4 minutes
    Number of boxes stacked in 4 minutes = 32 × 4
    Number of boxes stacked in 4 minutes = 128 boxes

    Step 2: Add the extra box to the total number of boxes stacked.
    Total number of boxes stacked = Number of boxes stacked in 4 minutes + Extra box
    Total number of boxes stacked = 128 + 1
    Total number of boxes stacked = 129 boxes

    Therefore, the robot will have stacked a total of 129 boxes.

    ### Answer: 129

Expected answer: 129

Correct? Yes

🔗 Follow-up

Problem: After stacking boxes for 4 minutes, the robot takes a break. When it comes back, it accidentally knocks over 21 of the boxes. How many boxes remain stacked after the robot knocks some over?

Gemma 2B:

    To solve this problem, we need to find the number of boxes the robot stacked in 4 minutes and then subtract the number of boxes it knocked over.

    Given information:
    - The robot can stack 32 boxes in 1 minute.
    - The robot worked non-stop for 4 minutes.
    - The robot knocked over 21 boxes after taking a break.

    Step 1: Find the number of boxes the robot stacked in 4 minutes.
    Number of boxes stacked in 4 minutes = Number of boxes stacked in 1 minute × 4 minutes
    Number of boxes stacked in 4 minutes = 32 × 4
    Number of boxes stacked in 4 minutes = 128 boxes

    Step 2: Subtract the number of boxes knocked over from the total number of boxes stacked.
    Number of boxes remaining = Number of boxes stacked in 4 minutes - Number of boxes knocked over
    Number of boxes remaining = 128 - 21
    Number of boxes remaining = 107 boxes

    Therefore, after the robot knocks over 21 boxes, 107 boxes remain stacked.

    ### Answer: 107

Expected answer: 108

Correct? No

🔗 Follow-up

Problem: Let's consider a different scenario: If, instead of picking up an extra single box after 4 minutes, the robot picked up an extra 11 boxes, how many boxes would this robot have stacked in total?

Gemma 2B:

    Okay, let's consider the new scenario where the robot picks up an extra 11 boxes after working for 4 minutes.

    Given information:
    - The robot can stack 32 boxes in 1 minute.
    - The robot works non-stop for 4 minutes.
    - The robot picks up an extra 11 boxes after working for 4 minutes.

    Step 1: Find the number of boxes the robot can stack in 4 minutes.
    Number of boxes stacked in 4 minutes = Number of boxes stacked in 1 minute × 4 minutes
    Number of boxes stacked in 4 minutes = 32 × 4
    Number of boxes stacked in 4 minutes = 128 boxes

    Step 2: Add the extra 11 boxes to the total number of boxes stacked.
    Total number of boxes stacked = Number of boxes stacked in 4 minutes + Extra boxes
    Total number of boxes stacked = 128 + 11
    Total number of boxes stacked = 139 boxes

    Therefore, if the robot picks up an extra 11 boxes after working for 4 minutes, it will have stacked a total of 139 boxes.

    ### Answer: 139

Expected answer: 139

Correct? Yes

🔗 Problem

Problem: A female tiger gave birth to 26 cubs in all her lifetime. Unfortunately, 17 of them did not survive the harsh conditions of the wild. However, after growing up, 6 of the surviving tigers moved to other territories. How many tigers remained in the female tiger's territory?

Gemma 2B:

    To solve this problem, we need to find the number of tigers that survived and then subtract the number of tigers that moved to other territories.

    Given information:
    - The female tiger gave birth to 26 cubs in her lifetime.
    - 17 of the cubs did not survive.
    - 6 of the surviving tigers moved to other territories.

    Step 1: Find the number of cubs that survived.
    Total cubs - Cubs that did not survive = Cubs that survived
    26 - 17 = 9 cubs survived

    Step 2: Find the number of tigers that remained in the female tiger's territory.
    Cubs that survived - Tigers that moved to other territories = Tigers that remained
    9 - 6 = 3 tigers remained

    Therefore, 3 tigers remained in the female tiger's territory.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Suppose that originally the female tiger had given birth to 24 cubs instead of 26 in her lifetime, and the same number of 17 cubs had not survived the harsh conditions of the wild. If the same number of surviving tigers, 6, moved to other territories, how many tigers would have remained in the female tiger's territory?

Gemma 2B:

    To solve this problem, we need to find the number of cubs that survived and then subtract the number of tigers that moved to other territories.

    Given information:
    - The female tiger gave birth to 24 cubs in her lifetime.
    - 17 of the cubs did not survive.
    - 6 of the surviving tigers moved to other territories.

    Step 1: Find the number of cubs that survived.
    Total cubs - Cubs that did not survive = Cubs that survived
    24 - 17 = 7 cubs survived

    Step 2: Find the number of tigers that remained in the female tiger's territory.
    Cubs that survived - Tigers that moved to other territories = Tigers that remained
    7 - 6 = 1 tiger remained

    Therefore, 1 tiger would have remained in the female tiger's territory.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A colony of penguins originally started with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. To supplant the loss, another group of 35 penguins join the colony. How many penguins are in the colony now?

Gemma 2B:

    To solve this problem, we need to keep track of the changes in the number of penguins in the colony.

    Given information:
    - The colony originally started with 44 penguins.
    - 39 new penguins joined the colony.
    - 16 penguins left the colony to start a new colony elsewhere.
    - 35 new penguins joined the colony.

    Step 1: Find the number of penguins after the first group of 39 penguins joined.
    Number of penguins after the first group joined = Original number of penguins + Number of penguins that joined
    Number of penguins after the first group joined = 44 + 39 = 83 penguins

    Step 2: Find the number of penguins after 16 penguins left to start a new colony.
    Number of penguins after 16 penguins left = Number of penguins after the first group joined - Number of penguins that left
    Number of penguins after 16 penguins left = 83 - 16 = 67 penguins

    Step 3: Find the number of penguins after the second group of 35 penguins joined.
    Number of penguins after the second group joined = Number of penguins after 16 penguins left + Number of penguins that joined
    Number of penguins after the second group joined = 67 + 35 = 102 penguins

    Therefore, there are currently 102 penguins in the colony.

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

Problem: In the same penguin colony, they started off with 44 members. After a while, 39 new penguins join the colony. Later, from that group, 16 penguins leave to start a new colony elsewhere. This time, to supplant the loss, another group of 12 penguins join the colony, instead of 35. How many penguins are in the colony now?

Gemma 2B:

    To solve this problem, we need to keep track of the changes in the number of penguins in the colony, similar to the previous problem.

    Given information:
    - The colony originally started with 44 penguins.
    - 39 new penguins joined the colony.
    - 16 penguins left the colony to start a new colony elsewhere.
    - 12 new penguins joined the colony (instead of 35).

    Step 1: Find the number of penguins after the first group of 39 penguins joined.
    Number of penguins after the first group joined = Original number of penguins + Number of penguins that joined
    Number of penguins after the first group joined = 44 + 39 = 83 penguins

    Step 2: Find the number of penguins after 16 penguins left to start a new colony.
    Number of penguins after 16 penguins left = Number of penguins after the first group joined - Number of penguins that left
    Number of penguins after 16 penguins left = 83 - 16 = 67 penguins

    Step 3: Find the number of penguins after the second group of 12 penguins joined.
    Number of penguins after the second group joined = Number of penguins after 16 penguins left + Number of penguins that joined
    Number of penguins after the second group joined = 67 + 12 = 79 penguins

    Therefore, there are currently 79 penguins in the colony.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Problem

Problem: A helicopter travels 10 miles in one minute. If the helicopter increases its speed by 40 miles, plus another 20 miles, how far will the helicopter travel in 12 minutes at this increased speed?

Gemma 2B:

    To solve this problem, we need to find the new speed of the helicopter after the increase and then calculate the distance it will travel in 12 minutes at the new speed.

    Given information:
    - The initial speed of the helicopter is 10 miles per minute.
    - The speed is increased by 40 miles per minute.
    - The speed is further increased by 20 miles per minute.
    - We need to find the distance traveled in 12 minutes at the new speed.

    Step 1: Find the new speed of the helicopter after the increases.
    Initial speed + Increase 1 + Increase 2 = New speed
    10 miles/minute + 40 miles/minute + 20 miles/minute = 70 miles/minute

    Step 2: Calculate the distance traveled in 12 minutes at the new speed.
    Distance = Speed × Time
    Distance = 70 miles/minute × 12 minutes
    Distance = 840 miles

    Therefore, the helicopter will travel 840 miles in 12 minutes at the increased speed.

    ### Answer: 840

Expected answer: 840

Correct? Yes

🔗 Follow-up

Problem: After re-evaluating its performance, the helicopter realized that its actual speed increase was lesser than initially thought. Instead of the initial 40 miles speed increase, the increase was just 2 miles. Given that the original speed of 10 miles and an additional bonus speed of 20 miles remained the same, how far will the helicopter be able to travel in 12 minutes at this revised speed?

Gemma 2B:

    To solve this problem, we need to recalculate the new speed of the helicopter based on the revised speed increase and then find the distance it will travel in 12 minutes at the new speed.

    Given information:
    - The initial speed of the helicopter is 10 miles per minute.
    - The speed increase is now 2 miles per minute instead of 40 miles per minute.
    - The additional bonus speed increase of 20 miles per minute remains the same.
    - We need to find the distance traveled in 12 minutes at the revised speed.

    Step 1: Find the new speed of the helicopter after the revised increases.
    Initial speed + Revised increase 1 + Increase 2 = New speed
    10 miles/minute + 2 miles/minute + 20 miles/minute = 32 miles/minute

    Step 2: Calculate the distance traveled in 12 minutes at the new speed.
    Distance = Speed × Time
    Distance = 32 miles/minute × 12 minutes
    Distance = 384 miles

    Therefore, with the revised speed increase, the helicopter will travel 384 miles in 12 minutes.

    ### Answer: 384

Expected answer: 384

Correct? Yes

🔗 Problem

Problem: A new telescope has a magnification power of 26. To further explore the universe, another telescope is required that needs to be exactly 41 in magnification strength. How much more magnification is required for the new telescope compared to the existing one?

Gemma 2B:

    To solve this problem, we need to find the difference between the required magnification strength of the new telescope and the magnification power of the existing telescope.

    Given information:
    - The existing telescope has a magnification power of 26.
    - The required magnification strength for the new telescope is 41.

    Step 1: Find the difference between the required magnification strength and the existing magnification power.
    Required magnification strength - Existing magnification power = Additional magnification required
    41 - 26 = 15

    Therefore, the new telescope needs to have an additional magnification of 15 compared to the existing telescope.

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: The Space Institute realized that the initial magnification power of the existing telescope was actually 16, not 26 as previously thought. If they still want to reach a magnification strength of 41, how much more magnification is now needed compared to the existing telescope?

Gemma 2B:

    Okay, let's recalculate with the updated information.

    Given information:
    - The existing telescope has a magnification power of 16.
    - The required magnification strength for the new telescope is 41.

    Step 1: Find the difference between the required magnification strength and the existing magnification power.
    Required magnification strength - Existing magnification power = Additional magnification required
    41 - 16 = 25

    Therefore, with the updated magnification power of the existing telescope, the new telescope needs to have an additional magnification of 25 compared to the existing telescope.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: Sophie's parents give her $18 for every hour she works at the family business. On Monday, she worked 2 of those hours. Then she bought a $4 ice cream and another $4 coffee afterwards. She then added Monday's leftover amount to her pay for her next single hour of work. After that, she got an additional $45 as a bonus from her grandmother. How much money does Sophie have in total now?

Gemma 2B:

    To solve this problem, we need to calculate Sophie's earnings and expenses, and then find the total amount of money she has.

    Given information:
    - Sophie's parents give her $18 for every hour she works.
    - On Monday, she worked for 2 hours.
    - She bought a $4 ice cream and a $4 coffee.
    - She added Monday's leftover amount to her pay for her next single hour of work.
    - She got an additional $45 as a bonus from her grandmother.

    Step 1: Calculate Sophie's earnings on Monday.
    Earnings on Monday = 2 hours × $18 per hour = $36

    Step 2: Calculate Sophie's expenses on Monday.
    Expenses on Monday = $4 (ice cream) + $4 (coffee) = $8

    Step 3: Calculate Sophie's leftover amount from Monday.
    Leftover amount from Monday = Earnings on Monday - Expenses on Monday
    Leftover amount from Monday = $36 - $8 = $28

    Step 4: Calculate Sophie's earnings for the next single hour of work.
    Earnings for the next single hour = $18 + Leftover amount from Monday
    Earnings for the next single hour = $18 + $28 = $46

    Step 5: Calculate Sophie's total earnings.
    Total earnings = Earnings on Monday + Earnings for the next single hour + Bonus from grandmother
    Total earnings = $36 + $46 + $45 = $127

    Therefore, Sophie has a total of $127 now.

    ### Answer: 127

Expected answer: 91

Correct? No

🔗 Problem

Problem: A towel company initially produced 30 beach towels and 6 hand towels. They then gave away 7 towels for charity, which leaves a certain amount of towels. They then decided to produce 14 more towels to add to their current stock. On the other hand, they made a special batch of 13 towels for every towel left after their charity activity and deducted 19 towels from this special batch, calling it their premium collection. They then noted 20 towels were damaged and removed it from this premium collection. After this, they deducted 3 more towels from the remaining premium collection and combined it with the total they had after their second batch of production. How many towels does the company have now?

Gemma 2B:

    To solve this problem, we need to follow the given steps and keep track of the number of towels at each stage.

    Given information:
    - Initially, the company produced 30 beach towels and 6 hand towels.
    - They gave away 7 towels for charity.
    - They produced 14 more towels after the charity activity.
    - They made a special batch of 13 towels for every towel left after the charity activity.
    - They deducted 19 towels from the special batch, calling it their premium collection.
    - 20 towels were damaged and removed from the premium collection.
    - They deducted 3 more towels from the remaining premium collection.
    - They combined the remaining premium collection with the total they had after the second batch of production.

    Step 1: Calculate the number of towels left after giving away 7 towels for charity.
    Initial number of towels = 30 beach towels + 6 hand towels = 36 towels
    Number of towels left after charity = 36 - 7 = 29 towels

    Step 2: Calculate the number of towels produced in the second batch.
    Number of towels produced in the second batch = 14 towels

    Step 3: Calculate the number of towels in the special batch (premium collection).
    Number of towels in the special batch = 29 × 13 = 377 towels
    Number of towels deducted from the special batch = 19 towels
    Number of towels in the premium collection = 377 - 19 = 358 towels

    Step 4: Calculate the number of towels remaining in the premium collection after removing the damaged towels.
    Number of towels remaining in the premium collection = 358 - 20 = 338 towels

    Step 5: Calculate the number of towels remaining in the premium collection after deducting 3 more towels.
    Number of towels remaining in the premium collection = 338 - 3 = 335 towels

    Step 6: Calculate the total number of towels by combining the remaining premium collection with the total after the second batch of production.
    Total number of towels = Number of towels remaining in the premium collection + Number of towels after the second batch of production
    Total number of towels = 335 + (29 + 14) = 335 + 43 = 378 towels

    Therefore, the company has 378 towels now.

    ### Answer: 378

Expected answer: 378

Correct? Yes

🔗 Problem

Problem: An extraterrestrial being from the planet Zorkon communicates that they have 50 special energy crystals. Then they explain that they'll get 20 more energy crystals in a few earth days. Additionally, their zorbcraft has a hidden compartment that contains 50 energy crystals and 6 extra lumino-gems, and they plan to add the upcoming energy crystals to this compartment as well. How many items (including both energy crystals and lumino-gems) would be in the zorbcraft's compartment at that time?

Gemma 2B:

    To solve this problem, we need to find the total number of energy crystals and lumino-gems that will be in the zorbcraft's compartment after adding the upcoming energy crystals.

    Given information:
    - The extraterrestrial being currently has 50 special energy crystals.
    - They will get 20 more energy crystals in a few earth days.
    - The zorbcraft's hidden compartment contains 50 energy crystals and 6 lumino-gems.
    - They plan to add the upcoming energy crystals to this compartment.

    Step 1: Find the total number of energy crystals after adding the upcoming energy crystals.
    Current energy crystals + Upcoming energy crystals = Total energy crystals
    50 + 20 = 70 energy crystals

    Step 2: Find the total number of items (energy crystals and lumino-gems) in the zorbcraft's compartment.
    Total energy crystals + Lumino-gems in the compartment = Total items in the compartment
    70 + 6 = 76 items

    Therefore, there will be 76 items (including both energy crystals and lumino-gems) in the zorbcraft's compartment after adding the upcoming energy crystals.

    ### Answer: 76

Expected answer: 126

Correct? No

🔗 Problem

Problem: A park contains 43 Velociraptors. Then, the park added another set of dinosaurs which numbered 972, but as it so happens, each of these sections contained 27 dinosaurs. This meant the actual number of new dinosaur types added was less. After calculating the new dinosaur types, they found out that the number of Velociraptors was more. They found the difference and multiplied this difference by 7, as each of the Velociraptors laid 7 new eggs that week. How many total eggs were laid by the Velociraptors that week?

Gemma 2B:

    To solve this problem, we need to find the difference between the number of Velociraptors and the number of new dinosaur types added, and then multiply it by 7 to find the total number of eggs laid by the Velociraptors.

    Given information:
    - The park initially contained 43 Velociraptors.
    - Another set of 972 dinosaurs was added, but each section contained 27 dinosaurs.
    - The number of new dinosaur types added was less than 972.
    - The number of Velociraptors was more than the number of new dinosaur types added.
    - Each Velociraptor laid 7 new eggs that week.

    Step 1: Find the number of new dinosaur types added.
    Number of new dinosaur types added = 972 / 27 = 36

    Step 2: Find the difference between the number of Velociraptors and the number of new dinosaur types added.
    Difference = Number of Velociraptors - Number of new dinosaur types added
    Difference = 43 - 36 = 7

    Step 3: Calculate the total number of eggs laid by the Velociraptors.
    Total number of eggs laid = Difference × 7 (eggs per Velociraptor)
    Total number of eggs laid = 7 × 7 = 49

    Therefore, the total number of eggs laid by the Velociraptors that week was 49.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous scenario, the park's wardens discovered that 46 of the eggs laid by the Velociraptors were not fertilized and not going to hatch. What is the number of Velociraptor eggs that are expected to successfully hatch?

Gemma 2B:

    In the previous scenario, we found that the total number of eggs laid by the Velociraptors was 49.

    Given information:
    - Total number of eggs laid by the Velociraptors = 49
    - Number of eggs that were not fertilized and not going to hatch = 46

    To find the number of Velociraptor eggs that are expected to successfully hatch, we need to subtract the number of unfertilized eggs from the total number of eggs laid.

    Number of eggs expected to hatch = Total number of eggs laid - Number of unfertilized eggs
    Number of eggs expected to hatch = 49 - 46 = 3

    Therefore, the number of Velociraptor eggs that are expected to successfully hatch is 3.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Continuing off the previous scenario, the wardens realized that they had made a mistake in their calculations. Each box actually contained 46 dinosaurs, not 27. If this was the case, how many total eggs are expected to be laid by the Velociraptors this week?

Gemma 2B:

    To solve this problem, we need to recalculate the number of new dinosaur types added based on the corrected information that each box contained 46 dinosaurs, and then find the difference between the number of Velociraptors and the number of new dinosaur types added. Finally, we multiply this difference by 7 to find the total number of eggs laid by the Velociraptors this week.

    Given information:
    - The park initially contained 43 Velociraptors.
    - Another set of 972 dinosaurs was added, and each box contained 46 dinosaurs.
    - The number of Velociraptors was more than the number of new dinosaur types added.
    - Each Velociraptor laid 7 new eggs that week.

    Step 1: Find the number of new dinosaur types added.
    Number of new dinosaur types added = 972 / 46 = 21 (rounded down)

    Step 2: Find the difference between the number of Velociraptors and the number of new dinosaur types added.
    Difference = Number of Velociraptors - Number of new dinosaur types added
    Difference = 43 - 21 = 22

    Step 3: Calculate the total number of eggs laid by the Velociraptors.
    Total number of eggs laid = Difference × 7 (eggs per Velociraptor)
    Total number of eggs laid = 22 × 7 = 154

    Therefore, with the corrected information that each box contained 46 dinosaurs, the total number of eggs expected to be laid by the Velociraptors this week is 154.

    ### Answer: 154

Expected answer: 3521/23

Correct? No

🔗 Problem

Problem: There is a bowl containing 46 oranges. After Maria took 16 oranges from that bowl, how many oranges are left?

Gemma 2B:

    To solve this problem, we need to find the difference between the initial number of oranges in the bowl and the number of oranges Maria took.

    Given information:
    - There are 46 oranges in the bowl initially.
    - Maria took 16 oranges from the bowl.

    Step 1: Find the number of oranges remaining in the bowl.
    Number of oranges remaining = Initial number of oranges - Number of oranges taken
    Number of oranges remaining = 46 - 16
    Number of oranges remaining = 30

    Therefore, after Maria took 16 oranges from the bowl, there are 30 oranges left in the bowl.

    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Initially, Maria believed the bowl contained 46 oranges, but soon she realized her mistake and found out there were actually 49 in total. With this new information, after taking out 16 oranges, how many are left now in the bowl?

Gemma 2B:

    Okay, let's revisit this problem with the updated information.

    Given:
    - The bowl initially contained 49 oranges (not 46 as previously stated).
    - Maria took 16 oranges from the bowl.

    To find the number of oranges left in the bowl, we need to subtract the number of oranges taken from the initial number of oranges.

    Step 1: Calculate the number of oranges left in the bowl.
    Number of oranges left = Initial number of oranges - Number of oranges taken
    Number of oranges left = 49 - 16
    Number of oranges left = 33

    Therefore, with the updated information that the bowl initially contained 49 oranges, and after Maria took 16 oranges, there are now 33 oranges left in the bowl.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: A toothbrush factory produces 37 toothbrushes per minute at the start of its morning shift. A little later, it increases its production to rate to 308 toothbrushes every 7 minutes. If this increased rate of production continued for 16 minutes, how many toothbrushes were produced in total?

Gemma 2B:

    To solve this problem, we need to find the number of toothbrushes produced at the initial rate and the increased rate, and then add them together.

    Given information:
    - Initial production rate: 37 toothbrushes per minute.
    - Increased production rate: 308 toothbrushes every 7 minutes.
    - The increased rate continued for 16 minutes.

    Step 1: Find the number of toothbrushes produced at the initial rate before the increase.
    Since we don't know the duration of the initial rate, we can assume it was for a negligible amount of time, so the number of toothbrushes produced at the initial rate is 0.

    Step 2: Find the number of toothbrushes produced at the increased rate.
    Increased rate = 308 toothbrushes every 7 minutes
    Increased rate per minute = 308 / 7 = 44 toothbrushes per minute
    Number of toothbrushes produced at the increased rate = 44 toothbrushes per minute × 16 minutes
    Number of toothbrushes produced at the increased rate = 704 toothbrushes

    Step 3: Find the total number of toothbrushes produced.
    Total toothbrushes produced = Toothbrushes produced at the initial rate + Toothbrushes produced at the increased rate
    Total toothbrushes produced = 0 + 704
    Total toothbrushes produced = 704

    ### Answer: 704

Expected answer: 741

Correct? No

🔗 Problem

Problem: A research laboratory has 39 telescopes initially. They added 7 more telescopes in the first month and then 17 more in the second month. Twelve more telescopes arrived in the third month, followed by further add up of 18 in the fourth month. In fifth month, they got exactly the same number of telescopes as they had initially i.e. 39 telescopes and in the sixth month, they received extra 19 telescopes. How many telescopes does the research laboratory have at the end of the sixth month.

Gemma 2B:

    To solve this problem, we need to keep track of the number of telescopes the research laboratory has after each month.

    Given information:
    - Initially, the research laboratory has 39 telescopes.
    - In the first month, they added 7 more telescopes.
    - In the second month, they added 17 more telescopes.
    - In the third month, they added 12 more telescopes.
    - In the fourth month, they added 18 more telescopes.
    - In the fifth month, they added 39 more telescopes (same as the initial number).
    - In the sixth month, they added 19 more telescopes.

    Step 1: Find the number of telescopes after the first month.
    Initial number of telescopes + Telescopes added in the first month = Number of telescopes after the first month
    39 + 7 = 46 telescopes

    Step 2: Find the number of telescopes after the second month.
    Number of telescopes after the first month + Telescopes added in the second month = Number of telescopes after the second month
    46 + 17 = 63 telescopes

    Step 3: Find the number of telescopes after the third month.
    Number of telescopes after the second month + Telescopes added in the third month = Number of telescopes after the third month
    63 + 12 = 75 telescopes

    Step 4: Find the number of telescopes after the fourth month.
    Number of telescopes after the third month + Telescopes added in the fourth month = Number of telescopes after the fourth month
    75 + 18 = 93 telescopes

    Step 5: Find the number of telescopes after the fifth month.
    Number of telescopes after the fourth month + Telescopes added in the fifth month = Number of telescopes after the fifth month
    93 + 39 = 132 telescopes

    Step 6: Find the number of telescopes after the sixth month.
    Number of telescopes after the fifth month + Telescopes added in the sixth month = Number of telescopes after the sixth month
    132 + 19 = 151 telescopes

    Therefore, the research laboratory has 151 telescopes at the end of the sixth month.

    ### Answer: 151

Expected answer: 151

Correct? Yes

🔗 Follow-up

Problem: After reviewing the inventory, the management of the research laboratory discovered that instead of adding 12 new telescopes in the third month, they had actually added 29 telescopes. How would this affect the total count of telescopes at the end of the sixth month, before any old models were decommissioned?

Gemma 2B:

    Given the new information that in the third month, the research laboratory added 29 telescopes instead of 12, we need to recalculate the total number of telescopes at the end of the sixth month.

    Previous calculations:
    - Initially, the research laboratory had 39 telescopes.
    - After the first month, they had 46 telescopes (39 + 7).
    - After the second month, they had 63 telescopes (46 + 17).
    - After the third month, they had 75 telescopes (63 + 12).
    - After the fourth month, they had 93 telescopes (75 + 18).
    - After the fifth month, they had 132 telescopes (93 + 39).
    - After the sixth month, they had 151 telescopes (132 + 19).

    Revised calculation with the new information:
    - Initially, the research laboratory had 39 telescopes.
    - After the first month, they had 46 telescopes (39 + 7).
    - After the second month, they had 63 telescopes (46 + 17).
    - After the third month, they had 92 telescopes (63 + 29).
    - After the fourth month, they had 110 telescopes (92 + 18).
    - After the fifth month, they had 149 telescopes (110 + 39).
    - After the sixth month, they had 168 telescopes (149 + 19).

    Therefore, with the correction that they added 29 telescopes in the third month instead of 12, the research laboratory had 168 telescopes at the end of the sixth month, before any old models were decommissioned.

    ### Answer: 168

Expected answer: 168

Correct? Yes

🔗 Problem

Problem: A table was initially set with 20 forks and 23 knives. Later in the day, 28 more sets of cutlery were added, each set containing 26 utensils. After counting, they found 7 more utensils than expected. However, there were 46 missing utensils, and they had to remove the original set of 20 forks and 23 knives. How many utensils were left on the table?

Gemma 2B:

    To solve this problem, we need to find the total number of utensils added and then subtract the missing utensils and the original set of cutlery.

    Given information:
    - Initially, there were 20 forks and 23 knives on the table.
    - Later, 28 more sets of cutlery were added, each set containing 26 utensils.
    - After counting, they found 7 more utensils than expected.
    - There were 46 missing utensils.
    - The original set of 20 forks and 23 knives was removed.

    Step 1: Find the total number of utensils initially on the table.
    Total utensils initially = 20 forks + 23 knives = 43 utensils

    Step 2: Find the total number of utensils added later.
    Total utensils added = 28 sets × 26 utensils per set = 728 utensils

    Step 3: Find the total number of utensils after adding the new sets.
    Total utensils after adding = Total utensils initially + Total utensils added + 7 extra utensils
    Total utensils after adding = 43 + 728 + 7 = 778 utensils

    Step 4: Subtract the missing utensils and the original set of cutlery.
    Utensils left on the table = Total utensils after adding - Missing utensils - Original set of cutlery
    Utensils left on the table = 778 - 46 - (20 forks + 23 knives)
    Utensils left on the table = 778 - 46 - 43 = 689 utensils

    Therefore, there were 689 utensils left on the table.

    ### Answer: 689

Expected answer: 646

Correct? No

🔗 Problem

Problem: A magical unicorn has 50 red roses and 36 blue roses in her mystical garden. But then, a storm comes and 25 blue roses are destroyed. How many roses does the unicorn have left in her garden after the storm?

Gemma 2B:

    To solve this problem, we need to find the total number of roses the unicorn had initially, and then subtract the number of blue roses that were destroyed by the storm.

    Given information:
    - The unicorn had 50 red roses.
    - The unicorn had 36 blue roses initially.
    - 25 blue roses were destroyed in the storm.

    Step 1: Find the total number of roses the unicorn had initially.
    Total roses initially = Number of red roses + Number of blue roses initially
    Total roses initially = 50 + 36 = 86 roses

    Step 2: Find the number of blue roses left after the storm.
    Number of blue roses left = Number of blue roses initially - Number of blue roses destroyed
    Number of blue roses left = 36 - 25 = 11 blue roses

    Step 3: Find the total number of roses left after the storm.
    Total roses left = Number of red roses + Number of blue roses left
    Total roses left = 50 + 11 = 61 roses

    Therefore, after the storm, the unicorn has 61 roses left in her mystical garden.

    ### Answer: 61

Expected answer: 61

Correct? Yes

🔗 Follow-up

Problem: After the storm, the magical unicorn plants 41 more pink roses in her mystical garden. How many roses does the unicorn have in her garden now?

Gemma 2B:

    To solve this problem, we need to find the number of roses the unicorn had after the storm and then add the number of pink roses she planted.

    Given information:
    - After the storm, the unicorn had 61 roses left in her garden.
    - The unicorn planted 41 more pink roses in her garden.

    Step 1: Find the total number of roses the unicorn had after planting the pink roses.
    Total roses after planting pink roses = Number of roses after the storm + Number of pink roses planted
    Total roses after planting pink roses = 61 + 41 = 102 roses

    Therefore, after planting 41 more pink roses, the unicorn now has 102 roses in her mystical garden.

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

Problem: Originally, the magical unicorn had 50 red roses and 36 blue roses in her mystical garden. But if she had initially had 50 red roses and 38 blue roses instead, and still lost 25 roses in the storm, how many roses would she have left in her garden after the storm?

Gemma 2B:

    To solve this problem, we need to find the total number of roses the unicorn had initially with the new information, and then subtract the number of blue roses that were destroyed by the storm.

    Given information:
    - The unicorn had 50 red roses initially.
    - The unicorn had 38 blue roses initially (instead of 36).
    - 25 blue roses were destroyed in the storm.

    Step 1: Find the total number of roses the unicorn had initially.
    Total roses initially = Number of red roses + Number of blue roses initially
    Total roses initially = 50 + 38 = 88 roses

    Step 2: Find the number of blue roses left after the storm.
    Number of blue roses left = Number of blue roses initially - Number of blue roses destroyed
    Number of blue roses left = 38 - 25 = 13 blue roses

    Step 3: Find the total number of roses left after the storm.
    Total roses left = Number of red roses + Number of blue roses left
    Total roses left = 50 + 13 = 63 roses

    Therefore, if the unicorn had initially had 50 red roses and 38 blue roses, and still lost 25 roses in the storm, she would have 63 roses left in her mystical garden after the storm.

    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

Problem: A factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse. At another location, triple the amount sent to the first warehouse was marked for shipping, as well as an additional 29 bottles. By the end of the day, 28 more bottles were added to this shipment. How many bottles were marked for shipping in total?

Gemma 2B:

    To solve this problem, we need to find the number of bottles sent to the first warehouse, then calculate the number of bottles marked for shipping at the other location, and finally add the additional 28 bottles.

    Given information:
    - The factory produces 100 bottles every hour.
    - Half of the hourly production is sent to one warehouse.
    - At another location, triple the amount sent to the first warehouse was marked for shipping, plus an additional 29 bottles.
    - By the end of the day, 28 more bottles were added to this shipment.

    Step 1: Find the number of bottles sent to the first warehouse.
    Number of bottles sent to the first warehouse = 1/2 × 100 = 50 bottles

    Step 2: Find the number of bottles marked for shipping at the other location.
    Number of bottles marked for shipping = 3 × 50 + 29 = 179 bottles

    Step 3: Add the additional 28 bottles to the shipment.
    Total number of bottles marked for shipping = 179 + 28 = 207 bottles

    Therefore, 207 bottles were marked for shipping in total.

    ### Answer: 207

Expected answer: 207

Correct? Yes

🔗 Follow-up

Problem: From the same factory scenario as before, reconsider the situation such that instead of adding 28 more bottles for shipment by the end of the day, they actually added 50 more bottles. How many bottles were marked for shipping in total now?

Gemma 2B:

    Okay, let's reconsider the problem with the new information.

    Given information:
    - The factory produces 100 bottles every hour.
    - Half of the hourly production is sent to one warehouse.
    - At another location, triple the amount sent to the first warehouse was marked for shipping, plus an additional 29 bottles.
    - By the end of the day, 50 more bottles were added to this shipment.

    Step 1: Find the number of bottles sent to the first warehouse.
    Number of bottles sent to the first warehouse = 1/2 × 100 = 50 bottles

    Step 2: Find the number of bottles marked for shipping at the other location.
    Number of bottles marked for shipping = 3 × 50 + 29 = 179 bottles

    Step 3: Add the additional 50 bottles to the shipment.
    Total number of bottles marked for shipping = 179 + 50 = 229 bottles

    Therefore, with the addition of 50 more bottles by the end of the day, 229 bottles were marked for shipping in total.

    ### Answer: 229

Expected answer: 229

Correct? Yes

🔗 Problem

Problem: The height of a window frame is calculated as the sum of 925 divided by 37 and 26 inches. The width of the window is 11 inches greater than the height. The circumference of the window is calculated as the sum of twice the width and the height. Finally the size of the glass for the window is calculated by subtracting 32 from the circumference. Find the size of the glass required for the window?

Gemma 2B:

    To solve this problem, we need to follow the given steps and calculate the required values.

    Given information:
    - The height of the window frame is calculated as (925 / 37) + 26 inches.
    - The width of the window is 11 inches greater than the height.
    - The circumference of the window is calculated as (2 × width) + height.
    - The size of the glass for the window is calculated by subtracting 32 from the circumference.

    Step 1: Calculate the height of the window frame.
    Height of the window frame = (925 / 37) + 26
    Height of the window frame = 25 + 26
    Height of the window frame = 51 inches

    Step 2: Calculate the width of the window.
    Width of the window = Height of the window frame + 11
    Width of the window = 51 + 11
    Width of the window = 62 inches

    Step 3: Calculate the circumference of the window.
    Circumference of the window = (2 × Width) + Height
    Circumference of the window = (2 × 62) + 51
    Circumference of the window = 124 + 51
    Circumference of the window = 175 inches

    Step 4: Calculate the size of the glass for the window.
    Size of the glass = Circumference of the window - 32
    Size of the glass = 175 - 32
    Size of the glass = 143 inches

    Therefore, the size of the glass required for the window is 143 inches.

    ### Answer: 143

Expected answer: 143

Correct? Yes

🔗 Follow-up

Problem: Suppose that there was an error in the original measurements. The height of the window frame is instead calculated as the sum of 925 divided by 37 and 16 inches, not 26 inches. Recalculating with these new measurements, what would be the size of the glass required for the window now?

Gemma 2B:

    Given the new information that the height of the window frame is calculated as (925 / 37) + 16 inches instead of (925 / 37) + 26 inches, we need to recalculate the size of the glass required for the window.

    Step 1: Calculate the new height of the window frame.
    Height of the window frame = (925 / 37) + 16
    Height of the window frame = 25 + 16
    Height of the window frame = 41 inches

    Step 2: Calculate the width of the window (same as before).
    Width of the window = Height of the window frame + 11
    Width of the window = 41 + 11
    Width of the window = 52 inches

    Step 3: Calculate the new circumference of the window.
    Circumference of the window = (2 × Width) + Height
    Circumference of the window = (2 × 52) + 41
    Circumference of the window = 104 + 41
    Circumference of the window = 145 inches

    Step 4: Calculate the new size of the glass for the window.
    Size of the glass = Circumference of the window - 32
    Size of the glass = 145 - 32
    Size of the glass = 113 inches

    Therefore, with the new measurements, the size of the glass required for the window is 113 inches.

    ### Answer: 113

Expected answer: 113

Correct? Yes

🔗 Problem

Problem: A pirate finds treasure with 135 gold coins. He divides these amongst his crew of 9. On another island, they find 323 emeralds which he divides amongst his crew of 19. He then multiplies these two shares to find out the total share per crew member. However, due to a miscount, he later realizes he has overcounted the share by 14. What is the corrected total share per crew member?

Gemma 2B:

    To solve this problem, we need to find the share of gold coins and emeralds per crew member, multiply them, and then subtract 14 from the result.

    Given information:
    - The pirate finds 135 gold coins and divides them among 9 crew members.
    - The pirate finds 323 emeralds and divides them among 19 crew members.
    - The pirate multiplies the two shares to find the total share per crew member.
    - The pirate realizes that he has overcounted the share by 14.

    Step 1: Find the share of gold coins per crew member.
    Share of gold coins per crew member = 135 gold coins / 9 crew members
    Share of gold coins per crew member = 15 gold coins

    Step 2: Find the share of emeralds per crew member.
    Share of emeralds per crew member = 323 emeralds / 19 crew members
    Share of emeralds per crew member = 17 emeralds

    Step 3: Multiply the two shares to find the total share per crew member (before overcounting).
    Total share per crew member = Share of gold coins per crew member × Share of emeralds per crew member
    Total share per crew member = 15 gold coins × 17 emeralds
    Total share per crew member = 255 gold coins × emeralds

    Step 4: Subtract 14 from the total share per crew member to find the corrected total share per crew member.
    Corrected total share per crew member = Total share per crew member - 14
    Corrected total share per crew member = 255 gold coins × emeralds - 14
    Corrected total share per crew member = 241 gold coins × emeralds

    Therefore, the corrected total share per crew member is 241 gold coins × emeralds.

    ### Answer: 241 gold coins × emeralds

Expected answer: 241

Correct? Yes

🔗 Problem

Problem: A chocolatier has decided to make small chocolate bars that weigh 176 grams each. To get the right size, he divides each bar into 8 pieces, which means each piece weighs a certain number of grams. He then decides to make a new batch of chocolate using a special recipe. This recipe calls for a total of 38 grams of cocoa, but subtraction the weight of one piece from the 176g bars, plus an additional 26 grams of sugar. Simultaneously, the chocolatier decides to create another batch of chocolates that needs a total of 38 grams of cocoa and 18 grams of milk. What is the difference in the total weight of ingredients between the second and third batch of chocolates?

Gemma 2B:

    To solve this problem, we need to find the weight of one piece from the 176g bars, and then calculate the total weight of ingredients for the second and third batches of chocolates.

    Given information:
    - Each 176g chocolate bar is divided into 8 pieces.
    - The second batch requires 38 grams of cocoa, the weight of one piece from the 176g bars, and 26 grams of sugar.
    - The third batch requires 38 grams of cocoa and 18 grams of milk.

    Step 1: Find the weight of one piece from the 176g bars.
    Weight of one piece = 176g / 8 = 22g

    Step 2: Calculate the total weight of ingredients for the second batch.
    Total weight of ingredients for the second batch = 38g (cocoa) + 22g (one piece) + 26g (sugar)
    Total weight of ingredients for the second batch = 86g

    Step 3: Calculate the total weight of ingredients for the third batch.
    Total weight of ingredients for the third batch = 38g (cocoa) + 18g (milk)
    Total weight of ingredients for the third batch = 56g

    Step 4: Find the difference in the total weight of ingredients between the second and third batches.
    Difference in total weight = Total weight of ingredients for the second batch - Total weight of ingredients for the third batch
    Difference in total weight = 86g - 56g = 30g

    Therefore, the difference in the total weight of ingredients between the second and third batches of chocolates is 30 grams.

    ### Answer: 30

Expected answer: 14

Correct? No

🔗 Problem

Problem: Jenny has 9 red colored pencils in her art box. She also has some green colored pencils which amounts to 38 minus the number of red colored pencils she has. The total number of times she used all the pencils is the product of the number of green and red pencils she has. How many times did she use all her pencils?

Gemma 2B:

    To solve this problem, we need to find the number of green colored pencils Jenny has and then calculate the product of the number of red and green colored pencils.

    Given information:
    - Jenny has 9 red colored pencils.
    - The number of green colored pencils is 38 minus the number of red colored pencils.
    - The total number of times she used all the pencils is the product of the number of green and red pencils.

    Step 1: Find the number of green colored pencils.
    Number of green colored pencils = 38 - Number of red colored pencils
    Number of green colored pencils = 38 - 9 = 29

    Step 2: Calculate the product of the number of red and green colored pencils.
    Total number of times she used all the pencils = Number of red colored pencils × Number of green colored pencils
    Total number of times she used all the pencils = 9 × 29 = 261

    Therefore, Jenny used all her pencils 261 times.

    ### Answer: 261

Expected answer: 261

Correct? Yes

🔗 Follow-up

Problem: Following from the previous scenario, Jenny also used her blue colored pencils an equivalent number of times to the sum of 31 and 16. Now, the total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils. How many times in total did she use all her pencils?

Gemma 2B:

    In this problem, we need to find the number of times Jenny used her blue colored pencils and then add it to the number of times she used her red and green colored pencils to find the total number of times she used all her pencils.

    Given information:
    - Jenny used her blue colored pencils an equivalent number of times to the sum of 31 and 16.
    - The total number of times she used all her pencils is equivalent to the times she used her blue pencils added to the times she used her green and red pencils.
    - From the previous problem, we know that the number of times she used her red and green colored pencils is 261.

    Step 1: Find the number of times Jenny used her blue colored pencils.
    Number of times she used her blue colored pencils = 31 + 16 = 47

    Step 2: Find the total number of times Jenny used all her pencils.
    Total number of times she used all her pencils = Number of times she used her blue colored pencils + Number of times she used her red and green colored pencils
    Total number of times she used all her pencils = 47 + 261 = 308

    Therefore, Jenny used all her pencils (red, green, and blue) a total of 308 times.

    ### Answer: 308

Expected answer: 308

Correct? Yes

🔗 Follow-up

Problem: Now, instead of having only 9 red colored pencils, Jenny actually had 12 of them. She again has green colored pencils which, as before, total 38 minus the number of red colored pencils. The total number of times she used all the pencils is the product of the number of green and red pencils she has, just as in the previous case. Now, with this change, how many times did she use all her pencils?

Gemma 2B:

    To solve this problem, we need to find the number of green colored pencils Jenny has with the new information and then calculate the product of the number of red and green colored pencils.

    Given information:
    - Jenny has 12 red colored pencils.
    - The number of green colored pencils is 38 minus the number of red colored pencils.
    - The total number of times she used all the pencils is the product of the number of green and red pencils.

    Step 1: Find the number of green colored pencils.
    Number of green colored pencils = 38 - Number of red colored pencils
    Number of green colored pencils = 38 - 12 = 26

    Step 2: Calculate the product of the number of red and green colored pencils.
    Total number of times she used all the pencils = Number of red colored pencils × Number of green colored pencils
    Total number of times she used all the pencils = 12 × 26 = 312

    Therefore, with 12 red colored pencils, Jenny used all her pencils 312 times.

    ### Answer: 312

Expected answer: 312

Correct? Yes

🔗 Problem

Problem: A factory has just released a new robot model, where each model has 17 transistors and each transistor may have 16 separate connections. One of the newly manufactured robots by accident was made with one less connection than standard. However, to compensate for the mistake, an extra 41 connections were added elsewhere. What is the total number of connections in the strangely built robot?

Gemma 2B:

    To solve this problem, we need to find the standard number of connections in a robot and then adjust it based on the given information.

    Given information:
    - Each robot model has 17 transistors.
    - Each transistor may have 16 separate connections.
    - One of the robots has one less connection than standard.
    - To compensate for the mistake, an extra 41 connections were added elsewhere.

    Step 1: Find the standard number of connections in a robot.
    Standard number of connections = Number of transistors × Number of connections per transistor
    Standard number of connections = 17 × 16 = 272 connections

    Step 2: Adjust the standard number of connections based on the given information.
    Number of connections in the strangely built robot = Standard number of connections - 1 (one less connection) + 41 (extra connections added)
    Number of connections in the strangely built robot = 272 - 1 + 41
    Number of connections in the strangely built robot = 312 connections

    Therefore, the total number of connections in the strangely built robot is 312.

    ### Answer: 312

Expected answer: 312

Correct? Yes

🔗 Follow-up

Problem: In the assembly line, another robot was produced similar to the first. However, this time instead of adding an additional 41 connections to compensate for the one lost, the production team decided to add only 13 additional connections. How many connections does this robot have now?

Gemma 2B:

    To solve this problem, we need to find the standard number of connections in a robot and then adjust it based on the given information for the second robot.

    Given information:
    - Each robot model has 17 transistors.
    - Each transistor may have 16 separate connections.
    - One of the robots has one less connection than standard.
    - To compensate for the mistake, an extra 13 connections were added elsewhere.

    Step 1: Find the standard number of connections in a robot.
    Standard number of connections = Number of transistors × Number of connections per transistor
    Standard number of connections = 17 × 16 = 272 connections

    Step 2: Adjust the standard number of connections based on the given information for the second robot.
    Number of connections in the second robot = Standard number of connections - 1 (one less connection) + 13 (extra connections added)
    Number of connections in the second robot = 272 - 1 + 13
    Number of connections in the second robot = 284 connections

    Therefore, the second robot has 284 connections.

    ### Answer: 284

Expected answer: 284

Correct? Yes

🔗 Problem

Problem: At the local jungle gym, during busy hours, there are usually 24 kids climbing on each of the 31 different attractions. One rainy day, however, there were only 6 kids in total! If you subtract the number of kids on the rainy day from the usual busy day, and then further subtract 12 (the number of squirrels scampering around), how many kids will you have counted in total?

Gemma 2B:

    To solve this problem, we need to find the total number of kids during a busy day, subtract the number of kids on the rainy day, and then further subtract 12 (the number of squirrels).

    Given information:
    - During busy hours, there are 24 kids climbing on each of the 31 different attractions.
    - On the rainy day, there were only 6 kids in total.
    - There are 12 squirrels scampering around.

    Step 1: Find the total number of kids during a busy day.
    Number of attractions × Number of kids per attraction = Total number of kids during a busy day
    31 × 24 = 744 kids

    Step 2: Subtract the number of kids on the rainy day from the total number of kids during a busy day.
    Total number of kids during a busy day - Number of kids on the rainy day = Difference in the number of kids
    744 - 6 = 738 kids

    Step 3: Subtract the number of squirrels from the difference in the number of kids.
    Difference in the number of kids - Number of squirrels = Total number of kids counted
    738 - 12 = 726 kids

    Therefore, after subtracting the number of kids on the rainy day and the number of squirrels, you will have counted a total of 726 kids.

    ### Answer: 726

Expected answer: 726

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, instead of 31 attractions at the jungle gym, let's say there were only 6 attractions. So now, on a busy day, you have 24 kids at each of these 6 attractions. If that rainy day still only had 6 kids at the jungle gym in total, and there were 12 squirrels, how many kids will you have counted in total now?

Gemma 2B:

    Okay, let's solve this problem with the updated information.

    Given information:
    - During busy hours, there are 24 kids climbing on each of the 6 different attractions.
    - On the rainy day, there were only 6 kids in total.
    - There are 12 squirrels scampering around.

    Step 1: Find the total number of kids during a busy day.
    Number of attractions × Number of kids per attraction = Total number of kids during a busy day
    6 × 24 = 144 kids

    Step 2: Subtract the number of kids on the rainy day from the total number of kids during a busy day.
    Total number of kids during a busy day - Number of kids on the rainy day = Difference in the number of kids
    144 - 6 = 138 kids

    Step 3: Subtract the number of squirrels from the difference in the number of kids.
    Difference in the number of kids - Number of squirrels = Total number of kids counted
    138 - 12 = 126 kids

    Therefore, with only 6 attractions at the jungle gym, and considering the number of kids on the rainy day and the number of squirrels, you will have counted a total of 126 kids.

    ### Answer: 126

Expected answer: 126

Correct? Yes

🔗 Problem

Problem: There's this mystical ring that, after you perform a special chant, it will grant you powers based on a complex magic formula. If the first step of the magical formula is subtracting 5 from 23 and then multiplying by the number of magical chants you perform, which in this case is 6. After that, the result is multiplied by 7 and again by 1. However, for the final step, you subtract 48 from the result. If you follow these steps, how powerful will the ring's magic be?

Gemma 2B:

    To solve this problem, we need to follow the steps of the magical formula and perform the calculations.

    Given information:
    - The first step is to subtract 5 from 23 and then multiply by the number of magical chants, which is 6.
    - The result is then multiplied by 7 and again by 1.
    - Finally, 48 is subtracted from the result.

    Step 1: Subtract 5 from 23 and multiply by the number of magical chants (6).
    (23 - 5) × 6 = 18 × 6 = 108

    Step 2: Multiply the result from Step 1 by 7.
    108 × 7 = 756

    Step 3: Multiply the result from Step 2 by 1 (no change).
    756 × 1 = 756

    Step 4: Subtract 48 from the result of Step 3.
    756 - 48 = 708

    Therefore, if you follow the steps of the magical formula, the ring's magic will be 708 powerful.

    ### Answer: 708

Expected answer: 708

Correct? Yes

🔗 Follow-up

Problem: Imagine in the initial mystical chant, instead of subtracting 5 from 23, you subtracted 5 from just 8, then continued with the rest of the magic formula exactly the same - multiplying by the number of chants and so forth. How would this adjustment impact the final power of the ring?

Gemma 2B:

    Okay, let's recalculate the power of the ring's magic with the adjustment of subtracting 5 from 8 instead of 23 in the initial step.

    Given information:
    - The first step is to subtract 5 from 8 and then multiply by the number of magical chants, which is 6.
    - The result is then multiplied by 7 and again by 1.
    - Finally, 48 is subtracted from the result.

    Step 1: Subtract 5 from 8 and multiply by the number of magical chants (6).
    (8 - 5) × 6 = 3 × 6 = 18

    Step 2: Multiply the result from Step 1 by 7.
    18 × 7 = 126

    Step 3: Multiply the result from Step 2 by 1 (no change).
    126 × 1 = 126

    Step 4: Subtract 48 from the result of Step 3.
    126 - 48 = 78

    Therefore, if you subtract 5 from 8 in the initial step and continue with the rest of the magic formula, the ring's magic will be 78 powerful.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Problem

Problem: A child can make 15 cookies in one hour. If the child spends 24 hours making the cookies, how many cookies are made in total?

Gemma 2B:

    To solve this problem, we need to find the number of cookies the child can make in 24 hours.

    Given information:
    - The child can make 15 cookies in one hour.
    - The child spends 24 hours making cookies.

    Step 1: Find the number of cookies the child can make in 24 hours.
    Number of cookies made in 24 hours = Number of cookies made in one hour × Number of hours
    Number of cookies made in 24 hours = 15 cookies × 24 hours
    Number of cookies made in 24 hours = 360 cookies

    Therefore, the child can make a total of 360 cookies in 24 hours.

    ### Answer: 360

Expected answer: 360

Correct? Yes

🔗 Follow-up

Problem: If the same child decides to increase their cookie production rate and can now make 40 cookies in one hour, how many cookies are made when they spend the same amount of time (24 hours) baking?

Gemma 2B:

    To solve this problem, we need to find the number of cookies the child can make in 24 hours with the new production rate.

    Given information:
    - The child can now make 40 cookies in one hour.
    - The child spends 24 hours making cookies.

    Step 1: Find the number of cookies the child can make in 24 hours with the new production rate.
    Number of cookies made in 24 hours = Number of cookies made in one hour × Number of hours
    Number of cookies made in 24 hours = 40 cookies × 24 hours
    Number of cookies made in 24 hours = 960 cookies

    Therefore, with the new production rate of 40 cookies per hour, the child can make a total of 960 cookies in 24 hours.

    ### Answer: 960

Expected answer: 960

Correct? Yes

🔗 Problem

Problem: A silversmith has 16 silver rings in stock. He decided to create more rings and ended up with 28 silver and 24 gold rings. Then he subtracted from them the number of his original stock of silver rings. He traded some rings and ended up with 21 rings less than what he had after the creation stage. After that, for a special order, he created 26 times the number of rings he had left. In addition, he had made 7 platinum and 47 bronze rings for another order. How many rings does the silversmith have in total now?

Gemma 2B:

    To solve this problem, we need to follow the given information step by step and keep track of the number of rings the silversmith has at each stage.

    Given information:
    - Initially, the silversmith had 16 silver rings in stock.
    - After creating more rings, he had 28 silver rings and 24 gold rings.
    - He subtracted the number of his original stock of silver rings (16) from the total number of rings he had after creating more rings.
    - He traded some rings and ended up with 21 rings less than what he had after the creation stage.
    - For a special order, he created 26 times the number of rings he had left after trading.
    - He also made 7 platinum rings and 47 bronze rings for another order.

    Step 1: Find the total number of rings after creating more rings.
    Total rings after creating = 28 silver rings + 24 gold rings = 52 rings

    Step 2: Subtract the original stock of silver rings from the total rings after creating.
    Rings after subtracting original stock = 52 rings - 16 silver rings = 36 rings

    Step 3: Find the number of rings after trading.
    Rings after trading = 36 rings - 21 rings = 15 rings

    Step 4: Find the number of rings created for the special order.
    Rings created for special order = 26 × 15 rings = 390 rings

    Step 5: Find the total number of rings by adding the rings created for the special order, platinum rings, and bronze rings.
    Total rings = 390 rings + 7 platinum rings + 47 bronze rings = 444 rings

    Therefore, the silversmith has a total of 444 rings now.

    ### Answer: 444

Expected answer: 444

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, let's consider the silversmith initially had made not 28 silver rings, but only 18. He still had the 24 gold rings and subtracted from them his original stock of 16 silver rings. He continues through the same steps of trading, creating the rings for the special order, and the other rings as before. How many rings does the silversmith have now if he started with 18 silver rings instead of 28?

Gemma 2B:

    To solve this problem, we need to follow the given information step by step and keep track of the number of rings the silversmith has at each stage, considering the initial number of silver rings as 18 instead of 28.

    Given information:
    - Initially, the silversmith had 16 silver rings in stock.
    - After creating more rings, he had 18 silver rings and 24 gold rings.
    - He subtracted the number of his original stock of silver rings (16) from the total number of rings he had after creating more rings.
    - He traded some rings and ended up with 21 rings less than what he had after the creation stage.
    - For a special order, he created 26 times the number of rings he had left after trading.
    - He also made 7 platinum rings and 47 bronze rings for another order.

    Step 1: Find the total number of rings after creating more rings.
    Total rings after creating = 18 silver rings + 24 gold rings = 42 rings

    Step 2: Subtract the original stock of silver rings from the total rings after creating.
    Rings after subtracting original stock = 42 rings - 16 silver rings = 26 rings

    Step 3: Find the number of rings after trading.
    Rings after trading = 26 rings - 21 rings = 5 rings

    Step 4: Find the number of rings created for the special order.
    Rings created for special order = 26 × 5 rings = 130 rings

    Step 5: Find the total number of rings by adding the rings created for the special order, platinum rings, and bronze rings.
    Total rings = 130 rings + 7 platinum rings + 47 bronze rings = 184 rings

    Therefore, if the silversmith started with 18 silver rings instead of 28, he would have a total of 184 rings now.

    ### Answer: 184

Expected answer: 184

Correct? Yes

🔗 Problem

Problem: A gardener plants flowers in several rows. Each row contains 40 flowers, but due to the rough soil conditions only half of them grow properly. In total, 19 rows are planted this way. Additionally, the gardener plants another small batch of 18 bulbs in one corner and 48 in another corner of the garden. What is the difference between the total number of flowers in the rows and the small corners?

Gemma 2B:

    To solve this problem, we need to find the total number of flowers in the rows and the total number of flowers in the small corners, and then calculate the difference between them.

    Given information:
    - Each row contains 40 flowers, but only half of them grow properly.
    - There are 19 rows planted.
    - The gardener plants 18 bulbs in one corner and 48 bulbs in another corner.

    Step 1: Find the total number of flowers in the rows.
    Number of flowers per row that grow properly = 40 / 2 = 20 flowers
    Total number of flowers in the rows = 20 flowers × 19 rows = 380 flowers

    Step 2: Find the total number of flowers in the small corners.
    Total number of flowers in the small corners = 18 bulbs + 48 bulbs = 66 bulbs

    Step 3: Calculate the difference between the total number of flowers in the rows and the small corners.
    Difference = Total number of flowers in the rows - Total number of flowers in the small corners
    Difference = 380 - 66 = 314

    Therefore, the difference between the total number of flowers in the rows and the small corners is 314.

    ### Answer: 314

Expected answer: 314

Correct? Yes

🔗 Problem

Problem: In the forest, a certain bird lays an average of 11 eggs per month. This month, the bird laid 4 times the average. Due to extreme weather conditions, the forest welcoming committee distributed an additional 40 eggs to various nests to support the bird population. How many eggs are there in the forest this month?

Gemma 2B:

    To solve this problem, we need to find the number of eggs laid by the bird this month and then add the additional eggs distributed by the forest welcoming committee.

    Given information:
    - The bird lays an average of 11 eggs per month.
    - This month, the bird laid 4 times the average.
    - The forest welcoming committee distributed an additional 40 eggs.

    Step 1: Find the number of eggs laid by the bird this month.
    Average number of eggs per month = 11
    Number of eggs laid this month = 4 × Average number of eggs per month
    Number of eggs laid this month = 4 × 11 = 44 eggs

    Step 2: Find the total number of eggs in the forest this month.
    Total number of eggs = Number of eggs laid by the bird + Additional eggs distributed
    Total number of eggs = 44 + 40 = 84 eggs

    Therefore, there are 84 eggs in the forest this month.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: After examining the ground for fallen eggs, the forest rangers found more eggs which they distributed to the nests. They found 216 eggs in total, and divided them between 18 nests, before adding them to the initial number of eggs in the forest. How many eggs are there in the forest now?

Gemma 2B:

    To solve this problem, we need to find the number of additional eggs distributed by the forest rangers and add it to the initial number of eggs in the forest.

    Given information:
    - The forest rangers found a total of 216 eggs.
    - They divided the 216 eggs equally among 18 nests.
    - The initial number of eggs in the forest was 84.

    Step 1: Find the number of eggs distributed to each nest.
    Total number of eggs found = 216
    Number of nests = 18
    Number of eggs per nest = Total number of eggs found / Number of nests
    Number of eggs per nest = 216 / 18 = 12 eggs

    Step 2: Find the total number of additional eggs distributed to the nests.
    Total additional eggs distributed = Number of eggs per nest × Number of nests
    Total additional eggs distributed = 12 × 18 = 216 eggs

    Step 3: Find the total number of eggs in the forest now.
    Total number of eggs in the forest now = Initial number of eggs + Total additional eggs distributed
    Total number of eggs in the forest now = 84 + 216 = 300 eggs

    Therefore, there are now 300 eggs in the forest.

    ### Answer: 300

Expected answer: 96

Correct? No

🔗 Problem

Problem: You are mixing paints to create different shades. In one mixture, you have 41 drops of red paint. You then add 13 drops of white paint and the same amount of red paint as before. You take a sample of this mixture, which is 34 drops, and add that to a new mixture. Then take away the same amount of the 34 drop sample that you took originally. How many drops of paint are there in the new mixture?

Gemma 2B:

    To solve this problem, we need to keep track of the number of drops of paint in each step.

    Given information:
    - Initially, there are 41 drops of red paint.
    - 13 drops of white paint are added to the initial mixture.
    - The same amount of red paint (41 drops) is added to the mixture.
    - A sample of 34 drops is taken from the mixture and added to a new mixture.
    - The same amount of the 34-drop sample is taken away from the new mixture.

    Step 1: Find the total number of drops in the initial mixture after adding white and red paint.
    Total drops in the initial mixture = 41 (red) + 13 (white) + 41 (red) = 95 drops

    Step 2: Find the number of drops in the new mixture after adding the 34-drop sample.
    Number of drops in the new mixture = 34 drops

    Step 3: Find the number of drops in the new mixture after taking away the 34-drop sample.
    Number of drops in the new mixture = 34 - 34 = 0 drops

    Therefore, there are 0 drops of paint in the new mixture after taking away the 34-drop sample.

    ### Answer: 0

Expected answer: 95

Correct? No

🔗 Problem

Problem: A small toy car factory made 32 toy cars on Monday, but only 27 on Tuesday. They multiply the difference by 49 to determine their weekly goal. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. They add 45 to the total number of toy cars prepared by staff members. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. How many toy cars in total were made in this process?

Gemma 2B:

    To solve this problem, we need to break it down into smaller steps and perform the necessary calculations.

    Given information:
    - The factory made 32 toy cars on Monday and 27 toy cars on Tuesday.
    - The difference between the number of toy cars made on Monday and Tuesday is multiplied by 49 to determine the weekly goal.
    - The staff number in the factory is 12, and each staff member makes 9 toy cars per day.
    - They add 45 to the total number of toy cars prepared by staff members.
    - On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff-prepared cars.

    Step 1: Calculate the difference between the number of toy cars made on Monday and Tuesday.
    Difference = 32 - 27 = 5

    Step 2: Calculate the weekly goal by multiplying the difference by 49.
    Weekly goal = 5 × 49 = 245

    Step 3: Calculate the total number of toy cars prepared by staff members in a week.
    Total toy cars prepared by staff members = 12 (staff members) × 9 (toy cars per day) × 7 (days in a week)
    Total toy cars prepared by staff members = 12 × 9 × 7 = 756

    Step 4: Add 45 to the total number of toy cars prepared by staff members.
    Total toy cars prepared by staff members + 45 = 756 + 45 = 801

    Step 5: Add the weekly goal and the additional 31 toy cars prepared on Friday to the total toy cars prepared by staff members.
    Total toy cars made = Weekly goal + Total toy cars prepared by staff members + Additional toy cars on Friday
    Total toy cars made = 245 + 801 + 31 = 1077

    Therefore, the total number of toy cars made in this process is 1077.

    ### Answer: 1077

Expected answer: 429

Correct? No

🔗 Problem

Problem: A farmer harvested 45 carrots in one day from his farm. He noticed that for every carrot over 44 per day, he can earn 29 dollars. How much would the farmer have earned if this continued?

Gemma 2B:

    To solve this problem, we need to find the number of carrots over 44 and then multiply it by the amount earned per carrot over 44.

    Given information:
    - The farmer harvested 45 carrots in one day.
    - For every carrot over 44 per day, the farmer can earn $29.

    Step 1: Find the number of carrots over 44.
    Number of carrots over 44 = 45 - 44 = 1 carrot

    Step 2: Calculate the amount earned for the carrots over 44.
    Amount earned = Number of carrots over 44 × Amount earned per carrot over 44
    Amount earned = 1 × $29 = $29

    Therefore, if the farmer continues to harvest 45 carrots per day, he would earn $29 per day for the one carrot over 44.

    ### Answer: $29

Expected answer: 29

Correct? Yes

🔗 Follow-up

Problem: Continuing from our previous scenario, let's suppose that the market rate for extra carrots has now changed. Now, for every carrot that the farmer harvests over 44 per day, he can earn 41 dollars instead of 29. How much would his new earnings be if he still harvested 45 carrots in one day?

Gemma 2B:

    Okay, let's solve this problem with the new information.

    Given information:
    - The farmer harvested 45 carrots in one day.
    - For every carrot over 44 per day, the farmer can now earn $41 (instead of $29).

    Step 1: Find the number of carrots over 44.
    Number of carrots over 44 = 45 - 44 = 1 carrot

    Step 2: Calculate the amount earned for the carrots over 44 with the new rate.
    Amount earned = Number of carrots over 44 × Amount earned per carrot over 44
    Amount earned = 1 × $41 = $41

    Therefore, with the new market rate of $41 for every carrot over 44 per day, and the farmer still harvesting 45 carrots in one day, his new earnings would be $41.

    ### Answer: $41

Expected answer: 41

Correct? Yes

🔗 Problem

Problem: In a sock factory, a worker started with 26 pairs of socks. Unfortunately, 50 pairs got torn and had to be discarded. The worker was able to produce 36 more pairs to replace them. Each pair of socks is sold for $37. After earning from the sock sales, the worker found a $13 bill on the floor. How much money does the worker have in total?

Gemma 2B:

    To solve this problem, we need to find the total number of pairs of socks the worker has after production and then calculate the total revenue from selling those socks. Finally, we add the $13 found on the floor to get the total amount of money the worker has.

    Given information:
    - The worker started with 26 pairs of socks.
    - 50 pairs of socks got torn and had to be discarded.
    - The worker produced 36 more pairs of socks.
    - Each pair of socks is sold for $37.
    - The worker found a $13 bill on the floor.

    Step 1: Find the total number of pairs of socks the worker has after production.
    Initial pairs of socks - Discarded pairs + Produced pairs = Total pairs of socks
    26 - 50 + 36 = 12 pairs of socks

    Step 2: Calculate the total revenue from selling the socks.
    Total pairs of socks × Price per pair = Total revenue
    12 × $37 = $444

    Step 3: Add the $13 found on the floor to the total revenue.
    Total revenue + Money found = Total money
    $444 + $13 = $457

    Therefore, the worker has a total of $457 after earning from the sock sales and finding the $13 bill on the floor.

    ### Answer: 457

Expected answer: 457

Correct? Yes

🔗 Follow-up

Problem: In the sock factory situation previously described, let's suppose that instead of selling each pair of socks for $37, they instead sold each pair for $40. How much money does the worker have in total now?

Gemma 2B:

    In the previous problem, we found that the worker had a total of 12 pairs of socks after production and discarding the torn pairs.

    Given information:
    - The worker has 12 pairs of socks.
    - Each pair of socks is now sold for $40 instead of $37.
    - The worker found a $13 bill on the floor.

    Step 1: Calculate the total revenue from selling the socks.
    Total pairs of socks × Price per pair = Total revenue
    12 × $40 = $480

    Step 2: Add the $13 found on the floor to the total revenue.
    Total revenue + Money found = Total money
    $480 + $13 = $493

    Therefore, if each pair of socks is sold for $40 instead of $37, the worker has a total of $493 after earning from the sock sales and finding the $13 bill on the floor.

    ### Answer: 493

Expected answer: 493

Correct? Yes

🔗 Problem

Problem: A jewelry maker starts with 38 beads to make a bracelet. However, the number of beads was not right, so she removed a number of beads equal to dividing 560 by 40. However, she thinks her initial count may have been wrong and she may have actually started with 15 more beads than she initially thought. After adjusting the count and removing some beads, she adds one more bead, and then 39 more. How many beads does the jewelry maker have now?

Gemma 2B:

    To solve this problem, we need to follow the given steps and perform the necessary calculations.

    Given information:
    - The jewelry maker initially had 38 beads.
    - She removed a number of beads equal to dividing 560 by 40.
    - She may have actually started with 15 more beads than she initially thought.
    - After adjusting the count and removing some beads, she added one more bead.
    - Then, she added 39 more beads.

    Step 1: Calculate the number of beads removed.
    560 ÷ 40 = 14
    Number of beads removed = 14

    Step 2: Calculate the adjusted initial count of beads.
    Adjusted initial count = 38 + 15 = 53 beads

    Step 3: Calculate the number of beads after removing the beads.
    Number of beads after removing = 53 - 14 = 39 beads

    Step 4: Calculate the number of beads after adding one more bead.
    Number of beads after adding one = 39 + 1 = 40 beads

    Step 5: Calculate the final number of beads after adding 39 more beads.
    Final number of beads = 40 + 39 = 79 beads

    Therefore, the jewelry maker now has 79 beads.

    ### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

Problem: In the continuation of the previous story, the jewelry maker decided to make another adjustment after adding beads to her bracelet. She then removed again the same number of beads she removed earlier, equal to dividing 560 by 40. After that, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. How many beads does the jewelry maker have now on her bracelet?

Gemma 2B:

    To solve this problem, we need to continue from the previous problem and follow the new steps.

    Given information:
    - The jewelry maker initially had 79 beads after adding 39 more beads.
    - She removed again the same number of beads she removed earlier, equal to dividing 560 by 40.
    - She found a small box with an additional 20 beads and decided to add them to the bracelet.

    Step 1: Calculate the number of beads removed again.
    560 ÷ 40 = 14
    Number of beads removed = 14

    Step 2: Calculate the number of beads after removing the beads again.
    Number of beads after removing = 79 - 14 = 65 beads

    Step 3: Calculate the final number of beads after adding the 20 beads from the small box.
    Final number of beads = 65 + 20 = 85 beads

    Therefore, the jewelry maker now has 85 beads on her bracelet.

    ### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: In a different scenario, suppose the jewelry maker initially had 50 beads instead of 38. She still removed a number of beads equal to 560 divided by 40. Afterwards, she realized she might have actually started with 15 more beads than she originally thought. After correcting her count and removing some beads, she added one more bead, and then 39 more beads. How many beads does the jewelry maker have now in this case?

Gemma 2B:

    To solve this problem, we need to follow the given steps and perform the necessary calculations with the updated initial count of beads.

    Given information:
    - The jewelry maker initially had 50 beads.
    - She removed a number of beads equal to dividing 560 by 40.
    - She may have actually started with 15 more beads than she initially thought.
    - After adjusting the count and removing some beads, she added one more bead.
    - Then, she added 39 more beads.

    Step 1: Calculate the number of beads removed.
    560 ÷ 40 = 14
    Number of beads removed = 14

    Step 2: Calculate the adjusted initial count of beads.
    Adjusted initial count = 50 + 15 = 65 beads

    Step 3: Calculate the number of beads after removing the beads.
    Number of beads after removing = 65 - 14 = 51 beads

    Step 4: Calculate the number of beads after adding one more bead.
    Number of beads after adding one = 51 + 1 = 52 beads

    Step 5: Calculate the final number of beads after adding 39 more beads.
    Final number of beads = 52 + 39 = 91 beads

    Therefore, in this case, the jewelry maker now has 91 beads.

    ### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: In an aquarium, there are initially 30 sharks. But then, 23 of them are moved to a different area of the aquarium. A few days later, an additional 14 sharks are brought in, followed by 3 more being moved to the other area. The number of sharks is then multiplied by 43 for a research study. What is the final figure for the research?

Gemma 2B:

    To solve this problem, we need to follow the given information and perform the necessary calculations step by step.

    Given information:
    - Initially, there are 30 sharks in the aquarium.
    - 23 sharks are moved to a different area.
    - 14 sharks are brought in.
    - 3 more sharks are moved to the other area.
    - The remaining number of sharks is multiplied by 43 for a research study.

    Step 1: Find the number of sharks after 23 are moved to the other area.
    Initial number of sharks - Sharks moved to the other area = Remaining sharks
    30 - 23 = 7 sharks

    Step 2: Find the number of sharks after 14 are brought in.
    Remaining sharks + Sharks brought in = New number of sharks
    7 + 14 = 21 sharks

    Step 3: Find the number of sharks after 3 more are moved to the other area.
    New number of sharks - Sharks moved to the other area = Final number of sharks
    21 - 3 = 18 sharks

    Step 4: Multiply the final number of sharks by 43 for the research study.
    Final number of sharks × 43 = Final figure for the research
    18 × 43 = 774

    Therefore, the final figure for the research study is 774.

    ### Answer: 774

Expected answer: 774

Correct? Yes

🔗 Follow-up

Problem: We are back at the aquarium again! Previously, we mentioned the number of sharks being multiplied by 43 for a research study. But this time, instead of multiplying by 43, the scientists made a mistake and only multiplied it by 4. What would the new figure for the experiment be?

Gemma 2B:

    Okay, let's revisit the aquarium scenario with the updated information.

    Previously, we calculated that the final number of sharks after all the movements was 18.

    Now, instead of multiplying 18 by 43 for the research study, the scientists made a mistake and multiplied it by 4.

    To find the new figure for the experiment, we need to calculate:
    Final number of sharks × 4 = New figure for the experiment

    Substituting the values:
    18 × 4 = 72

    Therefore, the new figure for the experiment, after multiplying the final number of sharks (18) by 4 instead of 43, is 72.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: In a puzzle game, each round you collect 150 points which are then divided by 10 to determine the number of gold coins you earn. After two rounds, you earned some gold coins. In the third round, you collected 28 emeralds and 14 sapphires but you had to sacrifice the same amount of gold coins as you earned in the first two rounds. How many emeralds and sapphires did you have left after the third round?

Gemma 2B:

    To solve this problem, we need to find the number of gold coins earned in the first two rounds, and then subtract that number from the total number of emeralds and sapphires collected in the third round.

    Given information:
    - In each round, you collect 150 points.
    - The points are divided by 10 to determine the number of gold coins earned.
    - After two rounds, you earned some gold coins.
    - In the third round, you collected 28 emeralds and 14 sapphires.
    - You had to sacrifice the same amount of gold coins as you earned in the first two rounds.

    Step 1: Find the number of gold coins earned in one round.
    Points collected in one round = 150
    Number of gold coins earned in one round = 150 / 10 = 15 gold coins

    Step 2: Find the number of gold coins earned in the first two rounds.
    Number of gold coins earned in the first two rounds = 15 × 2 = 30 gold coins

    Step 3: Find the number of emeralds and sapphires left after sacrificing the gold coins.
    Total emeralds and sapphires collected in the third round = 28 emeralds + 14 sapphires = 42
    Number of emeralds and sapphires left = Total emeralds and sapphires collected - Gold coins sacrificed
    Number of emeralds and sapphires left = 42 - 30 = 12

    Therefore, after the third round, you had 12 emeralds and sapphires left.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: After the third round of the puzzle game, you decided to combine all of your remaining emeralds and sapphires into powerful jewels. Each jewel requires the exact same amount of emeralds and sapphires that you had left. However, the process of creation multiplies the total number of your existing jewels with itself. How many powerful jewels did you end up having after this process?

Gemma 2B:

    To solve this problem, we need to find the number of emeralds and sapphires left after the third round, and then determine how many powerful jewels can be created from them.

    Given information:
    - After the third round, you had 12 emeralds and sapphires left.
    - Each powerful jewel requires the exact same amount of emeralds and sapphires.
    - The process of creating powerful jewels multiplies the total number of existing jewels with itself.

    Step 1: Find the number of emeralds and sapphires required for each powerful jewel.
    Since each powerful jewel requires the exact same amount of emeralds and sapphires, we need to find the greatest common divisor (GCD) of 12 (the total number of emeralds and sapphires left).

    The GCD of 12 is 6 (because 12 is divisible by 6, and 6 is the largest number that divides 12 evenly).

    Therefore, each powerful jewel requires 6 emeralds and 6 sapphires.

    Step 2: Find the number of powerful jewels that can be created.
    Number of powerful jewels = Total emeralds and sapphires left / (Emeralds required per jewel + Sapphires required per jewel)
    Number of powerful jewels = 12 / (6 + 6) = 1

    Step 3: Apply the multiplication process to find the final number of powerful jewels.
    Final number of powerful jewels = (Number of powerful jewels) × (Number of powerful jewels)
    Final number of powerful jewels = 1 × 1 = 1

    Therefore, after the process of creating powerful jewels, you ended up with 1 powerful jewel.

    ### Answer: 1

Expected answer: 144

Correct? No

🔗 Follow-up

Problem: In the initial phase of the puzzle game, instead of collecting 150 points in each of the first two rounds, let's say you managed to collect fewer points such that each round you earned only 15 gold coins as the points were divided by 10. Therefore, after the second round, you had a different amount of gold coins. In the third round, you collected 28 emeralds and 14 sapphires but had to sacrifice the same newly calculated amount of gold coins (as per the points collected in the first two rounds). How many emeralds and sapphires did you have left after adjusting for the gold coin sacrifice in the third round?

Gemma 2B:

    Okay, let's adjust the problem with the new information.

    Given information:
    - In each of the first two rounds, you collected fewer points, resulting in earning 15 gold coins per round (points divided by 10).
    - After the second round, you had a different amount of gold coins.
    - In the third round, you collected 28 emeralds and 14 sapphires.
    - You had to sacrifice the same amount of gold coins as you earned in the first two rounds.

    Step 1: Find the number of gold coins earned in the first two rounds.
    Number of gold coins earned in one round = 15 gold coins
    Number of gold coins earned in the first two rounds = 15 × 2 = 30 gold coins

    Step 2: Find the number of emeralds and sapphires left after sacrificing the gold coins.
    Total emeralds and sapphires collected in the third round = 28 emeralds + 14 sapphires = 42
    Number of emeralds and sapphires left = Total emeralds and sapphires collected - Gold coins sacrificed
    Number of emeralds and sapphires left = 42 - 30 = 12

    Therefore, after adjusting for the gold coin sacrifice in the third round, you had 12 emeralds and sapphires left.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A train gets to carry 15 containers every day. On Fridays, the train gets to carry an extra 12 containers than usual. The following Monday, the train carries an additional 26 containers. However, on Wednesday, the load decreases by 32 containers. For a particular trip, the train is coupled with 2 more containers, and after it makes one stop, an additional 48 containers are loaded onto the train. How many containers is the train carrying at this point?

Gemma 2B:

    To solve this problem, we need to keep track of the number of containers the train is carrying at each step.

    Given information:
    - The train gets to carry 15 containers every day.
    - On Fridays, the train gets to carry an extra 12 containers.
    - The following Monday, the train carries an additional 26 containers.
    - On Wednesday, the load decreases by 32 containers.
    - For a particular trip, the train is coupled with 2 more containers.
    - After it makes one stop, an additional 48 containers are loaded onto the train.

    Step 1: Find the number of containers the train is carrying on a regular day.
    Number of containers on a regular day = 15

    Step 2: Find the number of containers the train is carrying on Friday.
    Number of containers on Friday = 15 + 12 = 27

    Step 3: Find the number of containers the train is carrying on Monday.
    Number of containers on Monday = 27 + 26 = 53

    Step 4: Find the number of containers the train is carrying on Wednesday.
    Number of containers on Wednesday = 53 - 32 = 21

    Step 5: Find the number of containers the train is carrying for a particular trip.
    Number of containers for a particular trip = 21 + 2 = 23

    Step 6: Find the number of containers the train is carrying after making one stop.
    Number of containers after making one stop = 23 + 48 = 71

    Therefore, the train is carrying 71 containers at this point.

    ### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Problem

Problem: A lemon farmer had harvested 39 lemons in the morning and 33 in the afternoon. Unfortunately, 12 lemons got spoiled by the end of the day. The next day, the farmer used 23 lemons to make lemonade. How many lemons did he have left after making the lemonade?

Gemma 2B:

    To solve this problem, we need to find the total number of lemons the farmer had initially, and then subtract the number of spoiled lemons and the number of lemons used to make lemonade.

    Given information:
    - The farmer harvested 39 lemons in the morning.
    - The farmer harvested 33 lemons in the afternoon.
    - 12 lemons got spoiled by the end of the day.
    - The farmer used 23 lemons to make lemonade the next day.

    Step 1: Find the total number of lemons the farmer had initially.
    Total lemons harvested = Lemons harvested in the morning + Lemons harvested in the afternoon
    Total lemons harvested = 39 + 33 = 72 lemons

    Step 2: Subtract the number of spoiled lemons from the total lemons harvested.
    Lemons remaining after spoilage = Total lemons harvested - Spoiled lemons
    Lemons remaining after spoilage = 72 - 12 = 60 lemons

    Step 3: Subtract the number of lemons used to make lemonade from the remaining lemons.
    Lemons left after making lemonade = Lemons remaining after spoilage - Lemons used for lemonade
    Lemons left after making lemonade = 60 - 23 = 37 lemons

    Therefore, the farmer had 37 lemons left after making lemonade.

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

Problem: In our previous calculations, we found out how many lemons the farmer had left after some got spoiled and some were used to make lemonade. However, what if the farmer actually had 24 lemons get spoiled on the first day instead of 12? How many lemons would the farmer have left after making the lemonade?

Gemma 2B:

    Okay, let's recalculate with the new information that 24 lemons got spoiled on the first day instead of 12.

    Given information:
    - The farmer harvested 39 lemons in the morning.
    - The farmer harvested 33 lemons in the afternoon.
    - 24 lemons got spoiled by the end of the day.
    - The farmer used 23 lemons to make lemonade the next day.

    Step 1: Find the total number of lemons the farmer had initially.
    Total lemons harvested = Lemons harvested in the morning + Lemons harvested in the afternoon
    Total lemons harvested = 39 + 33 = 72 lemons

    Step 2: Subtract the number of spoiled lemons from the total lemons harvested.
    Lemons remaining after spoilage = Total lemons harvested - Spoiled lemons
    Lemons remaining after spoilage = 72 - 24 = 48 lemons

    Step 3: Subtract the number of lemons used to make lemonade from the remaining lemons.
    Lemons left after making lemonade = Lemons remaining after spoilage - Lemons used for lemonade
    Lemons left after making lemonade = 48 - 23 = 25 lemons

    Therefore, with 24 lemons getting spoiled on the first day, the farmer had 25 lemons left after making lemonade.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: A bee lands on 33 flowers in an hour. If the bee is collecting 15 nectar droplets from each flower, how many nectar droplets does it have after an hour if it started with 26 nectar droplets?

Gemma 2B:

    To solve this problem, we need to find the total number of nectar droplets the bee collects from the flowers and add it to the initial number of nectar droplets it had.

    Given information:
    - The bee lands on 33 flowers in an hour.
    - The bee collects 15 nectar droplets from each flower.
    - The bee started with 26 nectar droplets.

    Step 1: Find the number of nectar droplets the bee collects from the flowers.
    Number of flowers × Number of nectar droplets collected per flower = Total nectar droplets collected
    33 × 15 = 495 nectar droplets collected

    Step 2: Find the total number of nectar droplets the bee has after an hour.
    Initial number of nectar droplets + Total nectar droplets collected = Total nectar droplets after an hour
    26 + 495 = 521 nectar droplets

    Therefore, after an hour, the bee has 521 nectar droplets.

    ### Answer: 521

Expected answer: 521

Correct? Yes

🔗 Follow-up

Problem: If instead of starting with 26 nectar droplets, the bee had initially found 49 nectar droplets before it started its hour of flower visits, how many nectar droplets would the bee have after an hour of collecting nectar from 33 flowers with 15 nectar droplets each?

Gemma 2B:

    To solve this problem, we need to find the total number of nectar droplets the bee collects from the flowers and add it to the initial number of nectar droplets it had.

    Given information:
    - The bee lands on 33 flowers in an hour.
    - The bee collects 15 nectar droplets from each flower.
    - The bee started with 49 nectar droplets.

    Step 1: Find the number of nectar droplets the bee collects from the flowers.
    Number of flowers × Number of nectar droplets collected per flower = Total nectar droplets collected
    33 × 15 = 495 nectar droplets collected

    Step 2: Find the total number of nectar droplets the bee has after an hour.
    Initial number of nectar droplets + Total nectar droplets collected = Total nectar droplets after an hour
    49 + 495 = 544 nectar droplets

    Therefore, if the bee had initially found 49 nectar droplets before it started its hour of flower visits, it would have 544 nectar droplets after an hour of collecting nectar from 33 flowers with 15 nectar droplets each.

    ### Answer: 544

Expected answer: 544

Correct? Yes

🔗 Problem

Problem: A company produces 36 marshmallow packs in an hour. To meet a sudden increase in demand, they decide to increase their production. They add an extra 350 marshmallows to their daily production, which is distributed evenly over 7 hours of their working day. Additionally, they add another 6 marshmallow packs to their hourly production. But, due to some limitations, they end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?

Gemma 2B:

    To solve this problem, we need to find the total number of marshmallow packs produced in a day after the increase in production, and then divide it by the number of working hours to find the new hourly production rate.

    Given information:
    - Initial production rate: 36 marshmallow packs per hour.
    - Additional marshmallows added to daily production: 350 marshmallows.
    - Additional marshmallow packs added to hourly production: 6 packs per hour.
    - Working hours per day: 7 hours.
    - Actual production rate is 43 packs per hour less than the goal.

    Step 1: Find the total number of marshmallow packs produced in a day after the increase in production.
    Initial daily production = 36 packs per hour × 7 hours = 252 packs
    Additional marshmallows added to daily production = 350 marshmallows
    Additional marshmallow packs added to daily production = 6 packs per hour × 7 hours = 42 packs
    Total daily production after the increase = 252 packs + 350 marshmallows + 42 packs = 644 packs

    Step 2: Find the goal for the new hourly production rate.
    Goal for new hourly production rate = Total daily production after the increase / Working hours per day
    Goal for new hourly production rate = 644 packs / 7 hours = 92 packs per hour

    Step 3: Find the actual new hourly production rate.
    Actual new hourly production rate = Goal for new hourly production rate - 43 packs per hour
    Actual new hourly production rate = 92 packs per hour - 43 packs per hour = 49 packs per hour

    Therefore, the company is now producing 49 marshmallow packs per hour.

    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Following the change in their production strategy, the company decides to adjust its additional marshmallow pack production from the previous estimate of 6 packs per hour. Instead, now they add an extra 4 marshmallow packs per hour to the increased daily production of 350 marshmallows distributed over 7 hours. But, they still have a limitation and end up producing 43 less packs per hour than their goal. How many marshmallow packs per hour are they now producing?

Gemma 2B:

    To solve this problem, we need to find the total number of marshmallow packs produced in a day after the new change in production strategy, and then divide it by the number of working hours to find the new hourly production rate.

    Given information:
    - Initial production rate: 36 marshmallow packs per hour.
    - Additional marshmallows added to daily production: 350 marshmallows.
    - Additional marshmallow packs added to hourly production: 4 packs per hour (changed from 6 packs per hour).
    - Working hours per day: 7 hours.
    - Actual production rate is 43 packs per hour less than the goal.

    Step 1: Find the total number of marshmallow packs produced in a day after the new change in production strategy.
    Initial daily production = 36 packs per hour × 7 hours = 252 packs
    Additional marshmallows added to daily production = 350 marshmallows
    Additional marshmallow packs added to daily production = 4 packs per hour × 7 hours = 28 packs
    Total daily production after the new change = 252 packs + 350 marshmallows + 28 packs = 630 packs

    Step 2: Find the goal for the new hourly production rate.
    Goal for new hourly production rate = Total daily production after the new change / Working hours per day
    Goal for new hourly production rate = 630 packs / 7 hours = 90 packs per hour

    Step 3: Find the actual new hourly production rate.
    Actual new hourly production rate = Goal for new hourly production rate - 43 packs per hour
    Actual new hourly production rate = 90 packs per hour - 43 packs per hour = 47 packs per hour

    Therefore, after the new change in their production strategy, the company is now producing 47 marshmallow packs per hour.

    ### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: A wizard casts a spell that produces 882 glimmering lights over a span of 21 days. That's an average of how many lights a day? In comparison, another wizard casts a spell that produces 460 glowing orbs in 20 days. What is the daily average here? Now, let's assume that the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. Can you find out what 'n' is?

Gemma 2B:

    To solve this problem, we need to find the daily averages for both wizards and then calculate the difference between them. After that, we can multiply the difference by the second wizard's daily average to find the value of 'n'.

    Given information:
    - The first wizard produces 882 glimmering lights over 21 days.
    - The second wizard produces 460 glowing orbs in 20 days.

    Step 1: Find the daily average for the first wizard.
    Daily average for the first wizard = Total lights produced / Number of days
    Daily average for the first wizard = 882 / 21
    Daily average for the first wizard = 42 lights per day

    Step 2: Find the daily average for the second wizard.
    Daily average for the second wizard = Total orbs produced / Number of days
    Daily average for the second wizard = 460 / 20
    Daily average for the second wizard = 23 orbs per day

    Step 3: Find the difference between the daily averages.
    Difference in daily averages = Daily average for the first wizard - Daily average for the second wizard
    Difference in daily averages = 42 - 23
    Difference in daily averages = 19

    Step 4: Calculate the value of 'n'.
    n = Difference in daily averages × Daily average for the second wizard
    n = 19 × 23
    n = 437

    Therefore, the magical constant 'n' is 437.

    ### Answer: 437

Expected answer: 437

Correct? Yes

🔗 Problem

Problem: A candy factory has 20 different flavors of candy. Their bestselling flavors are the Sugar Rush, which has 14 different base ingredients, the Candy Twirl, which has 25 base ingredients, and the Jawbreaker, which has 16 base ingredients. They create a Special Mix which combines all of these bestsellers and adds 43 extra goodies, including sprinkles and marshmallows. To create a limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, then combine this with one of each flavor from their 20 different flavored candies (excluding 19 of them so it's not too overwhelming). They then top it all off by removing 3 experimental sweets that didn't taste quite right. What is the count of various components used in creating this limited edition candy?

Gemma 2B:

    To solve this problem, we need to find the total number of components used in creating the limited edition candy.

    Given information:
    - The Sugar Rush has 14 base ingredients.
    - The Candy Twirl has 25 base ingredients.
    - The Jawbreaker has 16 base ingredients.
    - The Special Mix combines all the bestsellers and adds 43 extra goodies.
    - To create the limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, combine it with one of each flavor from their 20 different flavored candies (excluding 19 of them), and then remove 3 experimental sweets.

    Step 1: Find the total number of components in the Special Mix.
    Number of components in the Special Mix = 14 (Sugar Rush) + 25 (Candy Twirl) + 16 (Jawbreaker) + 43 (extra goodies)
    Number of components in the Special Mix = 98

    Step 2: Find the total number of components after adding 7 uniquely crafted sweets and one of each flavor from their 20 different flavored candies (excluding 19 of them).
    Number of components after adding sweets and one flavor = 98 + 7 + 1
    Number of components after adding sweets and one flavor = 106

    Step 3: Find the total number of components after removing 3 experimental sweets.
    Number of components in the limited edition candy = 106 - 3
    Number of components in the limited edition candy = 103

    Therefore, the count of various components used in creating the limited edition candy is 103.

    ### Answer: 103

Expected answer: 103

Correct? Yes

🔗 Follow-up

Problem: Further consider the candy factory's process. If instead of the Jawbreaker having 16 base ingredients, it had 23 base ingredients instead, then how many different components would be used in creating the same limited edition candy as before?

Gemma 2B:

    To solve this problem, we need to find the total number of components used in creating the limited edition candy, considering the change in the number of base ingredients for the Jawbreaker.

    Given information:
    - The Sugar Rush has 14 base ingredients.
    - The Candy Twirl has 25 base ingredients.
    - The Jawbreaker has 23 base ingredients (instead of 16).
    - The Special Mix combines all the bestsellers and adds 43 extra goodies.
    - To create the limited edition candy, they take a piece of the Special Mix, add 7 uniquely crafted sweets, combine it with one of each flavor from their 20 different flavored candies (excluding 19 of them), and then remove 3 experimental sweets.

    Step 1: Find the total number of components in the Special Mix with the updated number of base ingredients for the Jawbreaker.
    Number of components in the Special Mix = 14 (Sugar Rush) + 25 (Candy Twirl) + 23 (Jawbreaker) + 43 (extra goodies)
    Number of components in the Special Mix = 105

    Step 2: Find the total number of components after adding 7 uniquely crafted sweets and one of each flavor from their 20 different flavored candies (excluding 19 of them).
    Number of components after adding sweets and one flavor = 105 + 7 + 1
    Number of components after adding sweets and one flavor = 113

    Step 3: Find the total number of components after removing 3 experimental sweets.
    Number of components in the limited edition candy = 113 - 3
    Number of components in the limited edition candy = 110

    Therefore, if the Jawbreaker had 23 base ingredients instead of 16, the count of various components used in creating the same limited edition candy as before would be 110.

    ### Answer: 110

Expected answer: 110

Correct? Yes

🔗 Problem

Problem: In a special operation, 32 police officers were assigned to the north district, 33 were sent to the south district, and 29 officers were held for the downtown district. After the operation, 21 officers from the downtown district were transferred elsewhere. A week later, on a different assignment, 39 officers were added to the remaining duty force. Later that day, another 14 officers joined the force. How many officers were on duty by the end of the day?

Gemma 2B:

    To solve this problem, we need to follow the given information step by step and keep track of the number of officers on duty.

    Given information:
    - Initially, 32 officers were assigned to the north district, 33 to the south district, and 29 to the downtown district.
    - After the operation, 21 officers from the downtown district were transferred elsewhere.
    - A week later, 39 officers were added to the remaining duty force.
    - Later that day, another 14 officers joined the force.

    Step 1: Find the number of officers remaining after the operation.
    Officers in the north district = 32
    Officers in the south district = 33
    Officers in the downtown district after the transfer = 29 - 21 = 8
    Total officers remaining after the operation = 32 + 33 + 8 = 73

    Step 2: Find the number of officers after adding 39 officers a week later.
    Officers after adding 39 = 73 + 39 = 112

    Step 3: Find the total number of officers on duty by the end of the day after adding 14 more officers.
    Total officers on duty by the end of the day = 112 + 14 = 126

    Therefore, by the end of the day, there were 126 officers on duty.

    ### Answer: 126

Expected answer: 126

Correct? Yes

🔗 Follow-up

Problem: The previous problem had us determine the total number of police officers on duty under certain conditions. Now, let's imagine a slightly different scenario. Like the previous situation, there were still 32 officers assigned to the north district and 33 sent to the south. The number for the downtown district was also the same, at 29. However, this time around, only 21 officers from the total force were transferred elsewhere instead of the original scenario's subtraction. A week later, an additional 22 officers, fewer than the 39 from the original scenario, were brought in for a different assignment. That same day, another addition of 14 officers was made, just like with the initial series of events. New question: How many officers total were on duty by the end of the day in this amended scenario?

Gemma 2B:

    To solve this problem, we need to follow the given information step by step and keep track of the number of officers on duty in the amended scenario.

    Given information:
    - Initially, 32 officers were assigned to the north district, 33 to the south district, and 29 to the downtown district.
    - This time, 21 officers from the total force were transferred elsewhere (not specifically from the downtown district).
    - A week later, 22 officers were added to the remaining duty force (instead of 39 officers in the original scenario).
    - Later that day, another 14 officers joined the force (same as the original scenario).

    Step 1: Find the total number of officers initially assigned.
    Total officers initially assigned = 32 + 33 + 29 = 94

    Step 2: Find the number of officers remaining after the transfer of 21 officers.
    Officers remaining after the transfer = 94 - 21 = 73

    Step 3: Find the number of officers after adding 22 officers a week later.
    Officers after adding 22 = 73 + 22 = 95

    Step 4: Find the total number of officers on duty by the end of the day after adding 14 more officers.
    Total officers on duty by the end of the day = 95 + 14 = 109

    Therefore, in the amended scenario, there were 109 officers on duty by the end of the day.

    ### Answer: 109

Expected answer: 109

Correct? Yes

🔗 Problem

Problem: The distance between the Moon and the Earth changes throughout the month. On one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. Then it increased again by 11 million kilometers. If that distance, in millions of kilometers, times 19 minus 27 equals to a certain value, what is the value?

Gemma 2B:

    To solve this problem, we need to find the final distance between the Moon and the Earth after the given changes, and then multiply it by 19 and subtract 27.

    Given information:
    - Initial distance between the Moon and the Earth = 36 million kilometers.
    - The distance decreased by 19 million kilometers later in the month.
    - The distance then increased by 11 million kilometers.

    Step 1: Find the distance after the decrease of 19 million kilometers.
    Distance after decrease = Initial distance - Decrease in distance
    Distance after decrease = 36 million km - 19 million km = 17 million km

    Step 2: Find the final distance after the increase of 11 million kilometers.
    Final distance = Distance after decrease + Increase in distance
    Final distance = 17 million km + 11 million km = 28 million km

    Step 3: Calculate the value by multiplying the final distance by 19 and subtracting 27.
    Value = (Final distance × 19) - 27
    Value = (28 × 19) - 27
    Value = 532 - 27
    Value = 505

    Therefore, the value obtained by multiplying the final distance (in millions of kilometers) by 19 and subtracting 27 is 505.

    ### Answer: 505

Expected answer: 505

Correct? Yes

🔗 Follow-up

Problem: In the scenario mentioned earlier about the distance between the Moon and the Earth: on one particular day, the distance was 36 million kilometers but decreased by 19 million kilometers later in the month. It further increased by 11 million kilometers. Previously we calculated that distance, in millions of kilometers, times 19 and subtracted 27. But what if, instead of subtracting 27, we were to subtract 45? What would be the new value of the total distance?

Gemma 2B:

    Okay, let's revisit the problem with the new condition of subtracting 45 instead of 27.

    Given information:
    - Initial distance between the Moon and the Earth = 36 million kilometers.
    - The distance decreased by 19 million kilometers later in the month.
    - The distance then increased by 11 million kilometers.

    Step 1: Find the distance after the decrease of 19 million kilometers.
    Distance after decrease = Initial distance - Decrease in distance
    Distance after decrease = 36 million km - 19 million km = 17 million km

    Step 2: Find the final distance after the increase of 11 million kilometers.
    Final distance = Distance after decrease + Increase in distance
    Final distance = 17 million km + 11 million km = 28 million km

    Step 3: Calculate the new value by multiplying the final distance by 19 and subtracting 45.
    New value = (Final distance × 19) - 45
    New value = (28 × 19) - 45
    New value = 532 - 45
    New value = 487

    Therefore, if we multiply the final distance (in millions of kilometers) by 19 and subtract 45, the new value would be 487.

    ### Answer: 487

Expected answer: 487

Correct? Yes

🔗 Problem

Problem: A tiger has an average step length of 9 meters. If a tiger took two steps and then leaped 44 meters, it would have covered a certain distance. Another tiger covered a distance combining 23 meters with a leap and a 46-meter run but then retraces the distance equal to the first tiger's steps and the leap. How much distance did the second tiger cover finally?

Gemma 2B:

    To solve this problem, we need to find the distance covered by the first tiger and then subtract it from the distance covered by the second tiger.

    Given information:
    - A tiger's average step length is 9 meters.
    - The first tiger took two steps and then leaped 44 meters.
    - The second tiger covered a distance combining 23 meters with a leap and a 46-meter run.

    Step 1: Find the distance covered by the first tiger.
    Distance covered by the first tiger = (2 steps × 9 meters) + 44 meters
    Distance covered by the first tiger = 18 meters + 44 meters
    Distance covered by the first tiger = 62 meters

    Step 2: Find the distance covered by the second tiger before retracing.
    Distance covered by the second tiger = 23 meters + 46 meters
    Distance covered by the second tiger = 69 meters

    Step 3: Find the distance covered by the second tiger after retracing the distance equal to the first tiger's steps and leap.
    Distance covered by the second tiger finally = Distance covered by the second tiger before retracing - Distance covered by the first tiger
    Distance covered by the second tiger finally = 69 meters - 62 meters
    Distance covered by the second tiger finally = 7 meters

    Therefore, the second tiger covered a distance of 7 meters finally.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous situation, after retracing the distance equal to the first tiger's steps and the leap, the second tiger then decides to run an additional 30 meters before making a 44-meter leap. How much total distance did the second tiger cover after all these movements?

Gemma 2B:

    To solve this problem, we need to find the total distance covered by the second tiger after all the movements.

    Given information:
    - The second tiger initially covered a distance of 69 meters (23 meters with a leap and a 46-meter run).
    - The second tiger then retraced the distance equal to the first tiger's steps and leap, which was 62 meters.
    - After retracing, the second tiger ran an additional 30 meters.
    - Finally, the second tiger made a 44-meter leap.

    Step 1: Find the distance covered by the second tiger after retracing the distance equal to the first tiger's steps and leap.
    Distance covered by the second tiger after retracing = 69 meters - 62 meters = 7 meters

    Step 2: Find the distance covered by the second tiger after running an additional 30 meters.
    Distance covered by the second tiger after running an additional 30 meters = 7 meters + 30 meters = 37 meters

    Step 3: Find the total distance covered by the second tiger after making a 44-meter leap.
    Total distance covered by the second tiger = Distance covered after running an additional 30 meters + 44-meter leap
    Total distance covered by the second tiger = 37 meters + 44 meters
    Total distance covered by the second tiger = 81 meters

    Therefore, the second tiger covered a total distance of 81 meters after all these movements.

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: A toothpaste factory produces 26 tubes of toothpaste every hour. On Sundays, they work for 7 hours and produce additional 8 tubes of toothpaste. So, in one Sunday, they produce ((26 * 7) + 8) tubes. The following Monday, they continue their production by adding another 31 tubes to their Sunday's total. In parallel, in the packaging department, they have 50 empty boxes. They use 19 of them for another department, leaving them with (50 - 19) boxes. The total number of toothpaste tubes ready is calculated by adding the packaged boxes number with Monday's production. On Tuesday, they produced an additional 48 tubes of toothpaste. What is the total number of produced toothpaste tubes until Tuesday, inclusive?

Gemma 2B:

    To solve this problem, we need to calculate the total number of toothpaste tubes produced on Sunday, Monday, and Tuesday, and then add them together.

    Given information:
    - The factory produces 26 tubes of toothpaste every hour.
    - On Sundays, they work for 7 hours and produce an additional 8 tubes.
    - On Monday, they add another 31 tubes to their Sunday's total.
    - They have 50 empty boxes, and they use 19 of them for another department.
    - On Tuesday, they produce an additional 48 tubes of toothpaste.

    Step 1: Calculate the number of toothpaste tubes produced on Sunday.
    Tubes produced on Sunday = (26 tubes/hour × 7 hours) + 8 tubes
    Tubes produced on Sunday = 182 + 8 = 190 tubes

    Step 2: Calculate the number of toothpaste tubes produced on Monday.
    Tubes produced on Monday = 31 tubes

    Step 3: Calculate the number of empty boxes available for packaging.
    Empty boxes available = 50 - 19 = 31 boxes

    Step 4: Calculate the total number of toothpaste tubes ready after Monday's production.
    Total tubes ready after Monday = Empty boxes available + Tubes produced on Monday
    Total tubes ready after Monday = 31 + 31 = 62 tubes

    Step 5: Calculate the number of toothpaste tubes produced on Tuesday.
    Tubes produced on Tuesday = 48 tubes

    Step 6: Calculate the total number of toothpaste tubes produced until Tuesday, inclusive.
    Total tubes produced until Tuesday = Tubes produced on Sunday + Tubes produced on Monday + Tubes produced on Tuesday
    Total tubes produced until Tuesday = 190 + 31 + 48 = 269 tubes

    ### Answer: 269

Expected answer: 300

Correct? No

🔗 Problem

Problem: In a magical forest, a unicorn has 42 rainbow pebbles. A day later, it finds 26 more. It also has a stash of 44 dreamberries. Later on, the unicorn gathers 33 more rainbow pebbles and adds them with its stash of dreamberries. Finally, the unicorn finds 40 magical dandelions and adds them to his stash, but oh no, he loses 14! How many items does the unicorn have altogether after these events?

Gemma 2B:

    To solve this problem, we need to keep track of the number of items the unicorn has after each event.

    Given information:
    - The unicorn initially has 42 rainbow pebbles.
    - The next day, the unicorn finds 26 more rainbow pebbles.
    - The unicorn has a stash of 44 dreamberries.
    - The unicorn gathers 33 more rainbow pebbles and adds them to the stash of dreamberries.
    - The unicorn finds 40 magical dandelions and adds them to the stash.
    - The unicorn loses 14 items from the stash.

    Step 1: Find the total number of rainbow pebbles after the second day.
    Initial rainbow pebbles + Rainbow pebbles found on the second day = Total rainbow pebbles
    42 + 26 = 68 rainbow pebbles

    Step 2: Find the total number of items in the stash after adding the 33 rainbow pebbles.
    Dreamberries + Rainbow pebbles gathered = Total items in the stash
    44 + 33 = 77 items in the stash

    Step 3: Find the total number of items in the stash after adding the 40 magical dandelions.
    Items in the stash + Magical dandelions = Total items in the stash
    77 + 40 = 117 items in the stash

    Step 4: Find the total number of items after losing 14 items from the stash.
    Total items in the stash - Items lost = Total items remaining
    117 - 14 = 103 items remaining

    Therefore, after all these events, the unicorn has a total of 103 items altogether.

    ### Answer: 103

Expected answer: 171

Correct? No

🔗 Problem

Problem: A pirate captain has a treasure chest containing 23 types of jewels. Each type has 28 jewels. Tired from his adventure, he mistakenly lost 40 jewels on his way back to his ship. The next day, he luckily found 16 jewels from a deserted island. How many jewels does he have now in his treasure chest?

Gemma 2B:

    To solve this problem, we need to find the total number of jewels the pirate captain had initially, then subtract the number of jewels he lost, and finally add the number of jewels he found.

    Given information:
    - The pirate captain has a treasure chest containing 23 types of jewels.
    - Each type has 28 jewels.
    - He lost 40 jewels on his way back to his ship.
    - He found 16 jewels from a deserted island.

    Step 1: Find the total number of jewels the pirate captain had initially.
    Total number of jewels = Number of types of jewels × Number of jewels per type
    Total number of jewels = 23 × 28 = 644 jewels

    Step 2: Subtract the number of jewels he lost.
    Number of jewels remaining after losing 40 jewels = 644 - 40 = 604 jewels

    Step 3: Add the number of jewels he found.
    Number of jewels after finding 16 jewels = 604 + 16 = 620 jewels

    Therefore, the pirate captain now has 620 jewels in his treasure chest.

    ### Answer: 620

Expected answer: 620

Correct? Yes

🔗 Follow-up

Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?

Gemma 2B:

    To solve this problem, we need to recalculate the total number of jewels the pirate captain had initially based on the corrected information, then subtract the number of jewels he lost, and finally add the number of jewels he found.

    Given information:
    - The pirate captain had 17 types of jewels originally (corrected from 23 types).
    - Each type had 28 jewels.
    - He lost 40 jewels on his way back to his ship.
    - He found 16 jewels from a deserted island.

    Step 1: Find the total number of jewels the pirate captain had initially.
    Total number of jewels = Number of types of jewels × Number of jewels per type
    Total number of jewels = 17 × 28 = 476 jewels

    Step 2: Subtract the number of jewels he lost.
    Number of jewels remaining after losing 40 jewels = 476 - 40 = 436 jewels

    Step 3: Add the number of jewels he found.
    Number of jewels after finding 16 jewels = 436 + 16 = 452 jewels

    Therefore, after recalculating his treasure and taking into account the loss of 40 jewels and the 16 he found on a deserted island, the pirate captain now has 452 jewels.

    ### Answer: 452

Expected answer: 452

Correct? Yes

🔗 Problem

Problem: In a distant galaxy, a star shines brightly with 38 neutrons. It then gains 4 more. This total number gets multiplied by 18 to create a sensational energy output. During an explosion, it additionally releases the energy equivalent to 6 plus 25. How much total energy does the star emit?

Gemma 2B:

    To solve this problem, we need to follow the given steps and perform the necessary calculations.

    Given information:
    - The star initially has 38 neutrons.
    - It gains 4 more neutrons.
    - The total number of neutrons is multiplied by 18 to create a sensational energy output.
    - During an explosion, it additionally releases the energy equivalent to 6 plus 25.

    Step 1: Find the total number of neutrons after gaining 4 more.
    Total number of neutrons = Initial number of neutrons + Additional neutrons
    Total number of neutrons = 38 + 4 = 42 neutrons

    Step 2: Calculate the sensational energy output by multiplying the total number of neutrons by 18.
    Sensational energy output = Total number of neutrons × 18
    Sensational energy output = 42 × 18 = 756 units of energy

    Step 3: Calculate the additional energy released during the explosion.
    Additional energy released = 6 + 25 = 31 units of energy

    Step 4: Calculate the total energy emitted by the star.
    Total energy emitted = Sensational energy output + Additional energy released
    Total energy emitted = 756 + 31 = 787 units of energy

    ### Answer: 787

Expected answer: 787

Correct? Yes

🔗 Follow-up

Problem: Now consider instead that the star had only 38 neutrons initially, and then it gains only 4 more. This total number is then multiplied by 10, for a lower energy output. During an explosion, it still releases additional energy equivalent to 6 plus 25. Now, how much total energy does the star emit?

Gemma 2B:

    To solve this problem, we need to follow the given steps and perform the necessary calculations.

    Given information:
    - The star initially has 38 neutrons.
    - It gains 4 more neutrons.
    - The total number of neutrons is multiplied by 10 to create a lower energy output.
    - During an explosion, it additionally releases the energy equivalent to 6 plus 25.

    Step 1: Find the total number of neutrons after gaining 4 more.
    Total number of neutrons = Initial number of neutrons + Additional neutrons
    Total number of neutrons = 38 + 4 = 42 neutrons

    Step 2: Calculate the lower energy output by multiplying the total number of neutrons by 10.
    Lower energy output = Total number of neutrons × 10
    Lower energy output = 42 × 10 = 420 units of energy

    Step 3: Calculate the additional energy released during the explosion.
    Additional energy released = 6 + 25 = 31 units of energy

    Step 4: Calculate the total energy emitted by the star.
    Total energy emitted = Lower energy output + Additional energy released
    Total energy emitted = 420 + 31 = 451 units of energy

    ### Answer: 451

Expected answer: 451

Correct? Yes

🔗 Problem

Problem: A gardener planted 13 Sunflowers in his garden. The next day, he worked out that he needed to plant more, with the number being calculated as 37 times the number of petals on one sunflower, which is 5, minus 18. On the following day, he subtracted 10 flowers from that number, then added his initial sunflowers back, creating a new total. Meanwhile, he figured out that in a special part of his garden, ideal for 92 orchids he had, each spot can hold 23, so he calculated how many spots needed. By the end of the week, he summed up the total number of plants he worked on and the spots needed, then he doubled that total for no particular reason. How many did he end up with?

Gemma 2B:

    To solve this problem, we need to break it down into smaller steps and calculate each part separately.

    Given information:
    - The gardener initially planted 13 sunflowers.
    - The number of sunflowers he needed to plant next was calculated as 37 times the number of petals on one sunflower (5), minus 18.
    - He then subtracted 10 flowers from that number and added his initial 13 sunflowers to create a new total.
    - He had 92 orchids, and each spot in the special part of the garden can hold 23 orchids.
    - At the end of the week, he summed up the total number of plants he worked on and the spots needed, then doubled that total.

    Step 1: Calculate the number of sunflowers he needed to plant next.
    Number of sunflowers to plant next = (37 × 5) - 18 = 185 - 18 = 167

    Step 2: Calculate the new total of sunflowers after subtracting 10 and adding the initial 13.
    New total of sunflowers = (167 - 10) + 13 = 157 + 13 = 170

    Step 3: Calculate the number of spots needed for the 92 orchids.
    Number of spots needed = 92 ÷ 23 = 4

    Step 4: Calculate the sum of the total number of plants he worked on and the spots needed.
    Total plants and spots = 170 (sunflowers) + 92 (orchids) + 4 (spots) = 266

    Step 5: Double the total from Step 4.
    Final total = 266 × 2 = 532

    ### Answer: 532

Expected answer: 348

Correct? No

🔗 Problem

Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?

Gemma 2B:

    To solve this problem, we need to find the total number of flies caught by all the frogs in a day.

    Given information:
    - There are 18 frogs in the pond.
    - Each frog can catch 21 flies in a day.

    Step 1: Find the number of flies caught by one frog in a day.
    Number of flies caught by one frog in a day = 21 flies

    Step 2: Find the total number of flies caught by all the frogs in a day.
    Total number of flies caught by all the frogs in a day = Number of frogs × Number of flies caught by one frog in a day
    Total number of flies caught by all the frogs in a day = 18 × 21 flies
    Total number of flies caught by all the frogs in a day = 378 flies

    Therefore, all the frogs catch 378 flies in a day.

    ### Answer: 378

Expected answer: 378

Correct? Yes

🔗 Follow-up

Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?

Gemma 2B:

    In the previous problem, we found that 18 frogs catch a total of 378 flies in a day, where each frog catches 21 flies.

    Given information:
    - There are 18 frogs in the pond.
    - Each frog can catch 21 flies in a day.
    - A voracious toad catches an additional 39 flies on the next day.

    Step 1: Find the total number of flies caught by all the frogs on the first day.
    Total number of flies caught by all the frogs on the first day = 18 × 21 = 378 flies

    Step 2: Find the total number of flies caught by the toad on the second day.
    Total number of flies caught by the toad on the second day = 39 flies

    Step 3: Find the total number of flies caught over the two days.
    Total number of flies caught over the two days = Total number of flies caught by all the frogs on the first day + Total number of flies caught by the toad on the second day
    Total number of flies caught over the two days = 378 + 39 = 417 flies

    Therefore, a total of 417 flies have been caught over the two days by the frogs and the voracious toad.

    ### Answer: 417

Expected answer: 417

Correct? Yes

🔗 Follow-up

Problem: Using the information from the previous problem, now consider if the number of frogs in the pond increased to 46. If each frog can still catch 21 flies in a day, how many flies do all the frogs catch in a day now?

Gemma 2B:

    In the previous problem, we found that with 18 frogs, where each frog can catch 21 flies in a day, the total number of flies caught by all the frogs in a day was 378.

    Now, we need to find the total number of flies caught by all the frogs in a day when the number of frogs increases to 46, and each frog can still catch 21 flies in a day.

    Given information:
    - There are 46 frogs in the pond.
    - Each frog can catch 21 flies in a day.

    Step 1: Find the number of flies caught by one frog in a day.
    Number of flies caught by one frog in a day = 21 flies

    Step 2: Find the total number of flies caught by all the frogs in a day.
    Total number of flies caught by all the frogs in a day = Number of frogs × Number of flies caught by one frog in a day
    Total number of flies caught by all the frogs in a day = 46 × 21 flies
    Total number of flies caught by all the frogs in a day = 966 flies

    Therefore, with 46 frogs in the pond, where each frog can catch 21 flies in a day, all the frogs catch 966 flies in a day.

    ### Answer: 966

Expected answer: 966

Correct? Yes

🔗 Problem

Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?

Gemma 2B:

    To solve this problem, we need to find the total number of chairs in the meeting room after adding the additional chairs from the storage room.

    Given information:
    - The main meeting room initially has 21 chairs.
    - An additional 22 chairs are brought from the storage room.

    To find the total number of chairs in the meeting room, we need to add the initial number of chairs and the additional chairs.

    Total number of chairs = Initial number of chairs + Additional chairs
    Total number of chairs = 21 + 22
    Total number of chairs = 43

    Therefore, there are 43 chairs in the meeting room now for the event.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?

Gemma 2B:

    In this case, we have the following information:

    Given:
    - The main meeting room initially has 12 chairs.
    - An additional 22 chairs are brought from the storage room.

    To find the total number of chairs in the meeting room, we need to add the initial number of chairs and the additional chairs.

    Total number of chairs = Initial number of chairs + Additional chairs
    Total number of chairs = 12 + 22
    Total number of chairs = 34

    Therefore, there are 34 chairs in the meeting room now for the event.

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?

Gemma 2B:

    To solve this problem, we need to find the total number of elephants in the park after the new additions.

    Given information:
    - Initially, there were 14 elephants in the conservation park.
    - 11 new baby elephants were born this year.
    - The park received 25 more elephants from various rescues.

    Step 1: Find the total number of new elephants added to the park.
    Number of new baby elephants + Number of elephants received from rescues = Total new elephants added
    11 + 25 = 36 new elephants added

    Step 2: Find the total number of elephants in the park now.
    Initial number of elephants + Total new elephants added = Total number of elephants in the park now
    14 + 36 = 50 elephants

    Therefore, there are now 50 elephants in the conservation park.

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?

Gemma 2B:

    To solve this problem, we need to find the number of elephants left in the park after the relocation.

    Given information:
    - Initially, there were 14 elephants in the conservation park.
    - 11 new baby elephants were born this year.
    - The park received 25 more elephants from various rescues.
    - 27 elephants had to be relocated to different parks over the course of the year.

    Step 1: Find the total number of elephants in the park before the relocation.
    Initial number of elephants + New baby elephants + Elephants received from rescues = Total elephants before relocation
    14 + 11 + 25 = 50 elephants

    Step 2: Find the number of elephants left in the park after the relocation.
    Total elephants before relocation - Elephants relocated = Elephants left in the park
    50 - 27 = 23 elephants

    Therefore, there are 23 elephants left in the conservation park after the relocation.

    ### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: Suppose initially, there were 38 elephants in the conservation park instead of 14. If the park still received 11 new baby elephants and 25 more elephants from various rescues this year, how many elephants would there be in the park now?

Gemma 2B:

    To solve this problem, we need to find the total number of elephants in the park after the new additions, considering the initial number of elephants as 38.

    Given information:
    - Initially, there were 38 elephants in the conservation park.
    - 11 new baby elephants were born this year.
    - The park received 25 more elephants from various rescues.

    Step 1: Find the total number of new elephants added to the park.
    Number of new baby elephants + Number of elephants received from rescues = Total new elephants added
    11 + 25 = 36 new elephants added

    Step 2: Find the total number of elephants in the park now.
    Initial number of elephants + Total new elephants added = Total number of elephants in the park now
    38 + 36 = 74 elephants

    Therefore, there would be 74 elephants in the conservation park now.

    ### Answer: 74

Expected answer: 74

Correct? Yes

🔗 Problem

Problem: A treasure chest contains 23 emeralds and 30 diamonds. Unfortunately, 39 of the stones are fake and had to be removed. The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest. In another chest, there were 540 rubies which have been equally shared amongst 45 pirates, and then 3 are lost in the division. The remaining number (x) is subtracted from the value of the first chest (g) to get a new value. In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure. What is the value (m) of the remaining treasure?

Gemma 2B:

    To solve this problem, we need to follow the given steps and calculate the values of y, g, x, and s, and then find the final value m.

    Given information:
    - The treasure chest contains 23 emeralds and 30 diamonds.
    - 39 stones are fake and had to be removed.
    - The number of real stones left (y) is multiplied by itself and then 37 is subtracted to get a number (g) that represents the value of the chest.
    - There were 540 rubies in another chest, which were equally shared among 45 pirates, and then 3 were lost in the division.
    - The remaining number (x) is subtracted from the value of the first chest (g) to get a new value.
    - In the same chest as the rubies, there were also 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage.
    - The count (s) is subtracted from the new value to determine the value (m) of the remaining treasure.

    Step 1: Find the number of real stones left (y) in the first chest.
    Total stones = 23 emeralds + 30 diamonds = 53 stones
    Real stones left = 53 - 39 fake stones = 14 stones
    y = 14

    Step 2: Calculate the value of the first chest (g).
    g = y^2 - 37
    g = 14^2 - 37
    g = 196 - 37
    g = 159

    Step 3: Find the remaining number of rubies (x) after sharing and losing 3.
    Total rubies = 540
    Rubies per pirate = 540 / 45 = 12 rubies
    Remaining rubies after sharing = 540 - (45 × 12) = 540 - 540 = 0
    Remaining rubies after losing 3 = 0 - 3 = -3
    x = -3

    Step 4: Calculate the new value by subtracting x from g.
    New value = g - x
    New value = 159 - (-3)
    New value = 159 + 3
    New value = 162

    Step 5: Find the count of remaining pearls and zirconias (s).
    Total pearls and zirconias = 23 pearls + 11 zirconias = 34 pieces
    Remaining pieces after discarding 9 = 34 - 9 = 25 pieces
    s = 25

    Step 6: Calculate the value of the remaining treasure (m) by subtracting s from the new value.
    m = New value - s
    m = 162 - 25
    m = 137

    Therefore, the value (m) of the remaining treasure is 137.

    ### Answer: 137

Expected answer: 125

Correct? No

🔗 Problem

Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?

Gemma 2B:

    To solve this problem, we need to follow the given steps:

    Given information:
    - There are 6 confirmed UFO sightings in a small city initially.
    - After a viral event, there are an additional 504 sightings over the next 14 days.
    - The maximum number of sightings recorded in one day is 9.
    - The number of sightings typically dismissed as random is 3.

    Step 1: Calculate the daily average of additional sightings.
    Daily average of additional sightings = Total additional sightings / Number of days
    Daily average of additional sightings = 504 / 14
    Daily average of additional sightings = 36

    Step 2: Subtract the initial confirmed sightings from the daily average.
    Daily average after subtracting initial sightings = 36 - 6 = 30

    Step 3: Calculate the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number typically dismissed as random (3).
    Result = 9 - 3 = 6

    Step 4: Multiply the result from Step 2 and Step 3.
    Number of sightings according to the calculation = 30 × 6 = 180

    Therefore, according to the given calculation, there are 180 sightings.

    ### Answer: 180

Expected answer: 180

Correct? Yes

🔗 Follow-up

Problem: After reconsideration, the investigator noticed a mistake in the calculations. They remembered that the maximum number of sightings recorded in one day was actually 35, not 9. If they corrected their mistake and subtracted 3 from 35 instead, and then multiplied by the previously calculated daily increase, what would be the corrected calculated number of sightings?

Gemma 2B:

    To solve this problem, we need to follow the given steps with the corrected information:

    Given information:
    - There are 6 confirmed UFO sightings in a small city initially.
    - After a viral event, there are an additional 504 sightings over the next 14 days.
    - The maximum number of sightings recorded in one day is 35 (corrected from 9).
    - The number of sightings typically dismissed as random is 3.

    Step 1: Calculate the daily average of additional sightings.
    Daily average of additional sightings = Total additional sightings / Number of days
    Daily average of additional sightings = 504 / 14
    Daily average of additional sightings = 36

    Step 2: Subtract the initial confirmed sightings from the daily average.
    Daily average after subtracting initial sightings = 36 - 6 = 30

    Step 3: Calculate the result of taking the maximum number of sightings recorded in one day (35) and subtracting the number typically dismissed as random (3).
    Result = 35 - 3 = 32

    Step 4: Multiply the result from Step 2 and Step 3.
    Corrected calculated number of sightings = 30 × 32 = 960

    Therefore, after correcting the mistake and using the maximum number of sightings recorded in one day as 35, the corrected calculated number of sightings is 960.

    ### Answer: 960

Expected answer: 960

Correct? Yes

🔗 Problem

Problem: A blanket maker has 5 square patches of blue material. She wants to make an intricate design that requires her to subtract this from 26*25 square patches of red material. Then, she wants to compare this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. How many patches is the difference between her stock of green patches and the red patches needed for the design?

Gemma 2B:

    To solve this problem, we need to find the number of red patches required for the design, then subtract it from the number of green patches available.

    Given information:
    - The blanket maker has 5 square patches of blue material.
    - She needs to subtract the blue patches from 26 × 25 square patches of red material for the design.
    - She has 48 × 21 square patches of green material.

    Step 1: Find the number of red patches required for the design.
    Number of red patches required = (26 × 25) - 5
    Number of red patches required = 650 - 5
    Number of red patches required = 645 square patches

    Step 2: Find the number of green patches available.
    Number of green patches available = 48 × 21
    Number of green patches available = 1008 square patches

    Step 3: Find the difference between the number of green patches and the number of red patches required for the design.
    Difference = Number of green patches available - Number of red patches required
    Difference = 1008 - 645
    Difference = 363 square patches

    Therefore, the difference between the blanket maker's stock of green patches and the red patches needed for the design is 363 square patches.

    ### Answer: 363

Expected answer: 363

Correct? Yes

🔗 Follow-up

Problem: The blanket maker realized that she made a mistake in her initial calculations. Instead of having 5 patches of blue material, she actually had 27 patches. After correcting her calculations, she subtracted this from 26*25 square patches of red material. Then, she compared this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. After making this correction, how many patches is the difference between her stock of green patches and the red patches now required for the design?

Gemma 2B:

    To solve this problem, we need to find the number of red patches required for the design after correcting the number of blue patches, then subtract it from the number of green patches available.

    Given information:
    - The blanket maker has 27 square patches of blue material (corrected from 5).
    - She needs to subtract the blue patches from 26 × 25 square patches of red material for the design.
    - She has 48 × 21 square patches of green material.

    Step 1: Find the number of red patches required for the design after correcting the number of blue patches.
    Number of red patches required = (26 × 25) - 27
    Number of red patches required = 650 - 27
    Number of red patches required = 623 square patches

    Step 2: Find the number of green patches available.
    Number of green patches available = 48 × 21
    Number of green patches available = 1008 square patches

    Step 3: Find the difference between the number of green patches and the number of red patches required for the design.
    Difference = Number of green patches available - Number of red patches required
    Difference = 1008 - 623
    Difference = 385 square patches

    Therefore, after correcting the number of blue patches, the difference between the blanket maker's stock of green patches and the red patches needed for the design is 385 square patches.

    ### Answer: 385

Expected answer: 385

Correct? Yes

🔗 Problem

Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?

Gemma 2B:

    To solve this problem, we need to find the total number of baskets of lemons picked and then subtract the number of baskets used for making lemonade. The remaining number of baskets can then be multiplied by the number of bottles of lemonade produced per basket.

    Given information:
    - 38 baskets of lemons were picked from the trees near the river.
    - 24 baskets of lemons were picked from the trees near an old well.
    - 16 baskets of lemons were picked from the trees near the school.
    - 13 baskets of lemons were picked from the trees near the mayor's house.
    - 35 baskets of lemons were used for making lemonade.
    - Each basket of lemons can produce 14 bottles of lemonade.

    Step 1: Find the total number of baskets of lemons picked.
    Total baskets of lemons picked = 38 + 24 + 16 + 13 = 91 baskets

    Step 2: Find the number of remaining baskets after using 35 baskets for lemonade.
    Remaining baskets = Total baskets of lemons picked - Baskets used for lemonade
    Remaining baskets = 91 - 35 = 56 baskets

    Step 3: Calculate the number of bottles of lemonade that can be produced from the remaining baskets.
    Number of bottles of lemonade = Remaining baskets × Bottles of lemonade per basket
    Number of bottles of lemonade = 56 × 14 = 784 bottles

    Therefore, the villagers would get 784 bottles of lemonade from the remaining baskets.

    ### Answer: 784

Expected answer: 784

Correct? Yes

🔗 Follow-up

Problem: The villagers in Lemonville reconsidered their previous decision and determined that they would only need 23 baskets of lemons, instead of their initial estimation of 35 baskets, to make their village famous lemonade. If each basket of lemons could still produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets now?

Gemma 2B:

    To solve this problem, we need to find the total number of baskets of lemons picked and then subtract the number of baskets used for making lemonade. The remaining number of baskets can then be multiplied by the number of bottles of lemonade produced per basket.

    Given information:
    - 38 baskets of lemons were picked from the trees near the river.
    - 24 baskets of lemons were picked from the trees near an old well.
    - 16 baskets of lemons were picked from the trees near the school.
    - 13 baskets of lemons were picked from the trees near the mayor's house.
    - 23 baskets of lemons were used for making lemonade.
    - Each basket of lemons can produce 14 bottles of lemonade.

    Step 1: Find the total number of baskets of lemons picked.
    Total baskets of lemons picked = 38 + 24 + 16 + 13 = 91 baskets

    Step 2: Find the number of remaining baskets after using 23 baskets for lemonade.
    Remaining baskets = Total baskets of lemons picked - Baskets used for lemonade
    Remaining baskets = 91 - 23 = 68 baskets

    Step 3: Calculate the number of bottles of lemonade that can be produced from the remaining baskets.
    Number of bottles of lemonade = Remaining baskets × Bottles of lemonade per basket
    Number of bottles of lemonade = 68 × 14 = 952 bottles

    Therefore, the villagers would get 952 bottles of lemonade from the remaining baskets.

    ### Answer: 952

Expected answer: 952

Correct? Yes

🔗 Problem

Problem: Amy found 21 seashells in the sandbox, but gave 15 of them to her sister. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day. She also found an additional 49. Being a generous sister, she gave 23 to her brother and 27 to her cousin. How many seashells does Amy have left now?

Gemma 2B:

    To solve this problem, we need to follow the given information step-by-step and keep track of the number of seashells Amy has at each step.

    Given information:
    - Amy found 21 seashells in the sandbox.
    - She gave 15 seashells to her sister.
    - The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day.
    - She also found an additional 49 seashells.
    - She gave 23 seashells to her brother.
    - She gave 27 seashells to her cousin.

    Step 1: Find the number of seashells Amy had after giving 15 to her sister.
    Number of seashells after giving 15 to her sister = 21 - 15 = 6 seashells

    Step 2: Find the number of seashells Amy found the next day.
    Number of seashells found the next day = 6 + 13 = 19 seashells

    Step 3: Find the total number of seashells Amy had after finding the additional 49 seashells.
    Total number of seashells = 19 + 49 = 68 seashells

    Step 4: Find the number of seashells Amy had after giving 23 to her brother and 27 to her cousin.
    Number of seashells after giving to her brother and cousin = 68 - 23 - 27 = 18 seashells

    Therefore, Amy has 18 seashells left now.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In the initial story, Amy found 21 seashells in the sandbox and gave 15 of them away. She then found another 13 seashells, more than what she had kept for herself from the prior day. Additionally, she found 49 more seashells. However, let's reconsider the story and change the part where Amy gave away 23 seashells to her brother. Instead, imagine that she gave away 32 seashells to her brother. If she still gave 27 seashells to her cousin after this, how many seashells does Amy have left now?

Gemma 2B:

    Okay, let's reconsider the problem with the new information.

    Given information:
    - Amy found 21 seashells in the sandbox.
    - She gave 15 seashells to her sister.
    - The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day.
    - She also found an additional 49 seashells.
    - She gave 32 seashells to her brother (instead of 23).
    - She gave 27 seashells to her cousin.

    Step 1: Find the number of seashells Amy had after giving 15 to her sister.
    Number of seashells after giving 15 to her sister = 21 - 15 = 6 seashells

    Step 2: Find the number of seashells Amy found the next day.
    Number of seashells found the next day = 6 + 13 = 19 seashells

    Step 3: Find the total number of seashells Amy had after finding the additional 49 seashells.
    Total number of seashells = 19 + 49 = 68 seashells

    Step 4: Find the number of seashells Amy had after giving 32 to her brother and 27 to her cousin.
    Number of seashells after giving to her brother and cousin = 68 - 32 - 27 = 9 seashells

    Therefore, with the new information that Amy gave 32 seashells to her brother, she has 9 seashells left now.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Princess Anna was playing a numbers game in the kingdom. In the first round of the game, she thought of two numbers: 7 and 10. She added them together. In the second round, she thought of a number 29. She subtracted the result from the first round and then subtracted 8 more from that result. In the final round, Princess Anna added the results from the first and second round and then multiplied the sum by the result from the second round. What was the final result of the Princess's game?

Gemma 2B:

    To solve this problem, we need to follow the steps given in the question and perform the required operations.

    Given information:
    - In the first round, Anna thought of two numbers: 7 and 10, and added them together.
    - In the second round, Anna thought of a number 29, subtracted the result from the first round, and then subtracted 8 more from that result.
    - In the final round, Anna added the results from the first and second rounds, and then multiplied the sum by the result from the second round.

    Step 1: Find the result of the first round.
    Result of the first round = 7 + 10 = 17

    Step 2: Find the result of the second round.
    Result of the second round = 29 - 17 - 8 = 4

    Step 3: Find the sum of the results from the first and second rounds.
    Sum of the results = 17 + 4 = 21

    Step 4: Find the final result by multiplying the sum from Step 3 by the result from the second round.
    Final result = 21 × 4 = 84

    Therefore, the final result of Princess Anna's game is 84.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Follow-up

Problem: Following the princess' first game, her little sister, Princess Bella, wanted to join in with her own twist. Bella did as follows: In the first round, Bella copied Anna and added the same two numbers: 7 and 10 together. For the second round, sister Bella thought of the number 33. Just like Anna, She subtracted the result from the first round and then decreased it by 8. In the final round, Princess Bella, like Anna, added the results from the first and second round. Then, she multiplied the sum by the result from her modified second round. What was the final result of Princess Bella's game?

Gemma 2B:

    To solve this problem, we need to follow the steps given in the question and perform the required operations for Princess Bella's game.

    Given information:
    - In the first round, Bella added the same two numbers as Anna: 7 and 10.
    - In the second round, Bella thought of the number 33, subtracted the result from the first round, and then subtracted 8 more from that result.
    - In the final round, Bella added the results from the first and second rounds, and then multiplied the sum by the result from her modified second round.

    Step 1: Find the result of the first round.
    Result of the first round = 7 + 10 = 17 (same as Anna's first round)

    Step 2: Find the result of the second round.
    Result of the second round = 33 - 17 - 8 = 8

    Step 3: Find the sum of the results from the first and second rounds.
    Sum of the results = 17 + 8 = 25

    Step 4: Find the final result by multiplying the sum from Step 3 by the result from the second round.
    Final result = 25 × 8 = 200

    Therefore, the final result of Princess Bella's game is 200.

    ### Answer: 200

Expected answer: 200

Correct? Yes

🔗 Problem

Problem: Ellen had 15 dollars. Meanwhile, Sam had 48 dollars but then he gave some money to Ellen. After Sam gave his money to Ellen, he had as much money as Ellen originally had. Then, Sam got 24 dollars from his brother. How much money does Sam have now?

Gemma 2B:

    To solve this problem, we need to find out how much money Sam gave to Ellen and then add the $24 he received from his brother.

    Given information:
    - Ellen originally had $15.
    - Sam originally had $48.
    - After giving money to Ellen, Sam had the same amount of money as Ellen originally had, which is $15.
    - Sam received $24 from his brother.

    Step 1: Find how much money Sam gave to Ellen.
    Sam's original money - Amount of money Sam had after giving to Ellen = Amount of money Sam gave to Ellen
    $48 - $15 = $33

    Step 2: Find Sam's current money after receiving $24 from his brother.
    Amount of money Sam had after giving to Ellen + Money received from his brother = Sam's current money
    $15 + $24 = $39

    Therefore, Sam now has $39.

    ### Answer: 39

Expected answer: 57

Correct? No

🔗 Problem

Problem: A group of scientists began studying a river and found that it was 33 kilometers long. To be thorough, they decided to also study a connected tributary, which added 19 kilometers to the total length of waterway they needed to investigate. However, they later realized that a 30-kilometer portion of the river was inaccessible and couldn't be studied. How many kilometers of the river were they able to study?

Gemma 2B:

    To solve this problem, we need to find the total length of the waterway and then subtract the inaccessible portion.

    Given information:
    - The river is 33 kilometers long.
    - The connected tributary adds 19 kilometers to the total length.
    - A 30-kilometer portion of the river is inaccessible.

    Step 1: Find the total length of the waterway.
    Total length of the waterway = Length of the river + Length of the tributary
    Total length of the waterway = 33 km + 19 km = 52 km

    Step 2: Subtract the inaccessible portion from the total length.
    Length of the waterway that can be studied = Total length of the waterway - Inaccessible portion
    Length of the waterway that can be studied = 52 km - 30 km = 22 km

    Therefore, the scientists were able to study 22 kilometers of the river.

    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: After finishing the initial survey, the team of scientists received a special permit to investigate an additional stretch of the river 32 kilometers long that was previously off limits. In total, how many kilometers of the river were the scientists able to study?

Gemma 2B:

    To solve this problem, we need to find the total length of the waterway that the scientists were able to study, including the additional stretch of the river.

    Given information:
    - The scientists were initially able to study 22 kilometers of the river.
    - They received a permit to investigate an additional stretch of the river that is 32 kilometers long.

    Step 1: Find the total length of the waterway that the scientists can study.
    Total length of the waterway that can be studied = Initial length that could be studied + Additional stretch of the river
    Total length of the waterway that can be studied = 22 km + 32 km = 54 km

    Therefore, with the additional permit, the scientists were able to study a total of 54 kilometers of the river.

    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?

Gemma 2B:

    Okay, let's recalculate with the new information that the inaccessible portion of the river is 26 kilometers instead of 30 kilometers.

    Given information:
    - The river is 33 kilometers long.
    - The connected tributary adds 19 kilometers to the total length.
    - A 26-kilometer portion of the river is inaccessible.

    Step 1: Find the total length of the waterway.
    Total length of the waterway = Length of the river + Length of the tributary
    Total length of the waterway = 33 km + 19 km = 52 km

    Step 2: Subtract the inaccessible portion from the total length.
    Length of the waterway that can be studied = Total length of the waterway - Inaccessible portion
    Length of the waterway that can be studied = 52 km - 26 km = 26 km

    Therefore, with the inaccessible portion being 26 kilometers, the scientists would have been able to study 26 kilometers of the river.

    ### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: A photographer took 34 shots at a wedding but decided to remove 19 of them because they were out of focus. The next day he took an additional 21 shots at a different event. Then, he decided to add to this collection, 23 more shots he took on a third event. Similarly, another photographer took 880 shots at a large event and decided to select every 40th shot for his collection. What is the total number of shots in their collections combined?

Gemma 2B:

    To solve this problem, we need to find the number of shots in each photographer's collection and then add them together.

    Given information:
    - Photographer 1:
      - Initially took 34 shots at a wedding.
      - Removed 19 out-of-focus shots.
      - Took an additional 21 shots at a different event.
      - Added 23 more shots from a third event.
    - Photographer 2:
      - Took 880 shots at a large event.
      - Selected every 40th shot for their collection.

    Step 1: Find the number of shots in Photographer 1's collection.
    Shots from the wedding = 34 - 19 = 15 shots
    Shots from the second event = 21 shots
    Shots from the third event = 23 shots
    Total shots in Photographer 1's collection = 15 + 21 + 23 = 59 shots

    Step 2: Find the number of shots in Photographer 2's collection.
    Number of shots selected = 880 / 40 = 22 shots

    Step 3: Find the total number of shots in their collections combined.
    Total shots = Photographer 1's collection + Photographer 2's collection
    Total shots = 59 + 22 = 81 shots

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: Recalling the photographers from the previous problems. Suppose the second photographer decided to select every 28th shot instead of every 40th shot for his collection from the large event where he took 880 shots. Now, what is the total number of shots in their collections combined after this modification?

Gemma 2B:

    To solve this problem, we need to recalculate the number of shots in Photographer 2's collection after selecting every 28th shot instead of every 40th shot, and then add it to the number of shots in Photographer 1's collection.

    Given information:
    - Photographer 1's collection remains the same with 59 shots.
    - Photographer 2 took 880 shots at a large event and now selects every 28th shot for their collection.

    Step 1: Find the number of shots in Photographer 2's collection after selecting every 28th shot.
    Number of shots selected = 880 / 28 = 31.43 (rounded down to 31 shots)

    Step 2: Find the total number of shots in their collections combined after the modification.
    Total shots = Photographer 1's collection + Photographer 2's collection
    Total shots = 59 + 31 = 90 shots

    ### Answer: 90

Expected answer: 633/7

Correct? No

🔗 Problem

Problem: A pirate found a treasure chest containing 3 times the amount of his previous loot of 13 gold coins. After spending 22 of these coins for the crew's rum, he discovered another loot of 47 gold coins. How many gold coins does the pirate have now?

Gemma 2B:

    To solve this problem, we need to find the total number of gold coins the pirate had after finding the treasure chest and then add the newly discovered loot of 47 gold coins, and finally subtract the 22 gold coins spent on rum.

    Given information:
    - The pirate had 13 gold coins initially.
    - The treasure chest contained 3 times the amount of his previous loot (13 gold coins).
    - The pirate spent 22 gold coins on rum.
    - The pirate discovered another loot of 47 gold coins.

    Step 1: Find the number of gold coins in the treasure chest.
    Number of gold coins in the treasure chest = 3 × 13 = 39 gold coins

    Step 2: Find the total number of gold coins after finding the treasure chest.
    Total gold coins after finding the treasure chest = Initial gold coins + Gold coins in the treasure chest
    Total gold coins after finding the treasure chest = 13 + 39 = 52 gold coins

    Step 3: Subtract the gold coins spent on rum.
    Gold coins remaining after spending on rum = Total gold coins after finding the treasure chest - Gold coins spent on rum
    Gold coins remaining after spending on rum = 52 - 22 = 30 gold coins

    Step 4: Add the newly discovered loot of 47 gold coins.
    Total gold coins now = Gold coins remaining after spending on rum + Newly discovered loot
    Total gold coins now = 30 + 47 = 77 gold coins

    Therefore, the pirate has 77 gold coins now.

    ### Answer: 77

Expected answer: 64

Correct? No

🔗 Problem

Problem: A hiker traveled an average of 900 miles in 36 days. One day, he increases his daily average to 16 miles. This reduces his remaining journey by a certain number of days. After that, he finds a shortcut which saves him an additional 4 days, and a friendly traveller advised him of another path that will save him 40 days. If he also saves 21 days due to good weather, how many days in total did he save on his journey?

Gemma 2B:

    To solve this problem, we need to find the total number of days saved by the hiker due to various factors.

    Given information:
    - The hiker traveled an average of 900 miles in 36 days.
    - Increasing his daily average to 16 miles reduced his remaining journey by a certain number of days.
    - Finding a shortcut saved him 4 days.
    - Another path advised by a friendly traveler saved him 40 days.
    - Good weather saved him 21 days.

    Step 1: Find the original daily average distance traveled by the hiker.
    Original daily average distance = Total distance / Total days
    Original daily average distance = 900 miles / 36 days
    Original daily average distance = 25 miles per day

    Step 2: Find the number of days saved by increasing the daily average to 16 miles.
    Number of days saved = Remaining distance at the original pace / (New pace - Original pace)
    Number of days saved = (900 miles - 36 days × 25 miles/day) / (16 miles/day - 25 miles/day)
    Number of days saved = 180 miles / (-9 miles/day)
    Number of days saved = -20 days

    Step 3: Calculate the total number of days saved.
    Total days saved = Days saved by increasing daily average + Days saved by shortcut + Days saved by another path + Days saved due to good weather
    Total days saved = -20 days + 4 days + 40 days + 21 days
    Total days saved = 45 days

    Therefore, the hiker saved a total of 45 days on his journey.

    ### Answer: 45

Expected answer: 74

Correct? No

🔗 Problem

Problem: A pillow manufacturing company produces 33 pillows every hour in round the clock operations. In a day, they realized they had incurred a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

Gemma 2B:

    To solve this problem, we need to find the total number of pillows produced in a day and then subtract the number of pillows lost due to machine errors.

    Given information:
    - The company produces 33 pillows every hour.
    - The company operates round the clock (24 hours a day).
    - The company incurred a loss of 43 pillows due to machine errors in a day.

    Step 1: Find the total number of pillows produced in a day.
    Number of pillows produced per hour × Number of hours in a day = Total number of pillows produced in a day
    33 pillows × 24 hours = 792 pillows

    Step 2: Subtract the number of pillows lost due to machine errors.
    Total number of pillows produced in a day - Number of pillows lost = Total number of pillows manufactured in a day
    792 pillows - 43 pillows = 749 pillows

    Therefore, after accounting for the losses, the total number of pillows the company manufactured in a day is 749 pillows.

    ### Answer: 749

Expected answer: 749

Correct? Yes

🔗 Follow-up

Problem: The pillow manufacturing company decides to adjust their production rate to be consistent with worker shifts, producing 24 pillows every hour instead. However, they still incur a loss of 43 pillows due to machine errors. What is the total number of pillows the company manufactured in a day after accounting for the losses?

Gemma 2B:

    To solve this problem, we need to find the total number of pillows produced in a day with the new production rate and then subtract the number of pillows lost due to machine errors.

    Given information:
    - The company now produces 24 pillows every hour.
    - The company operates round the clock (24 hours a day).
    - The company still incurs a loss of 43 pillows due to machine errors in a day.

    Step 1: Find the total number of pillows produced in a day with the new production rate.
    Number of pillows produced per hour × Number of hours in a day = Total number of pillows produced in a day
    24 pillows × 24 hours = 576 pillows

    Step 2: Subtract the number of pillows lost due to machine errors.
    Total number of pillows produced in a day - Number of pillows lost = Total number of pillows manufactured in a day
    576 pillows - 43 pillows = 533 pillows

    Therefore, after accounting for the losses, the total number of pillows the company manufactured in a day with the new production rate is 533 pillows.

    ### Answer: 533

Expected answer: 533

Correct? Yes

🔗 Problem

Problem: In a Castle, there are 5 rooms in one wing. The other wing has 216 bricks. Nowadays, there's a strange rule: one room is equivalent to 36 bricks. Following this, if we have to calculate the sum of total rooms from both wings by converting the number of bricks to the number of rooms. How many rooms would be considered in total according to this rule?

Gemma 2B:

    To solve this problem, we need to find the number of rooms equivalent to the 216 bricks in the other wing, and then add it to the 5 rooms in the first wing.

    Given information:
    - There are 5 rooms in one wing.
    - The other wing has 216 bricks.
    - One room is equivalent to 36 bricks.

    Step 1: Find the number of rooms equivalent to 216 bricks.
    Number of rooms = Number of bricks / Number of bricks per room
    Number of rooms = 216 / 36
    Number of rooms = 6

    Step 2: Find the total number of rooms by adding the rooms from both wings.
    Total number of rooms = Number of rooms in the first wing + Number of rooms in the other wing
    Total number of rooms = 5 + 6
    Total number of rooms = 11

    Therefore, according to the given rule, there would be a total of 11 rooms considered in the Castle.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: In the same castle, there is a hidden underground passage which has 9 rooms. After discovering these, if you count all the rooms: the original five, the ones found in the second wing when converting the number of bricks to rooms, and these new rooms from the underground passage together. How many rooms are there in the castle in total?

Gemma 2B:

    To solve this problem, we need to find the total number of rooms in the castle by adding the rooms from the original wing, the rooms equivalent to the bricks in the second wing, and the rooms in the hidden underground passage.

    Given information:
    - There are 5 rooms in the original wing.
    - The second wing has 216 bricks, and one room is equivalent to 36 bricks.
    - There are 9 rooms in the hidden underground passage.

    Step 1: Find the number of rooms equivalent to 216 bricks in the second wing.
    Number of rooms = Number of bricks / Number of bricks per room
    Number of rooms = 216 / 36
    Number of rooms = 6

    Step 2: Find the total number of rooms in the castle by adding the rooms from all three sources.
    Total number of rooms = Number of rooms in the original wing + Number of rooms in the second wing + Number of rooms in the underground passage
    Total number of rooms = 5 + 6 + 9
    Total number of rooms = 20

    Therefore, after discovering the hidden underground passage, there are a total of 20 rooms in the castle.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: Suppose when we originally counted, we made a mistake and there were actually 35 rooms in the first wing of the castle, not 5. If we still convert the bricks in the second wing into the equivalent number of rooms and add them to this new total, how many rooms are now in the castle excluding the underground passage rooms?

Gemma 2B:

    Okay, let's solve this problem with the updated information.

    Given information:
    - There are 35 rooms in the first wing of the castle (not 5).
    - The other wing has 216 bricks.
    - One room is equivalent to 36 bricks.
    - We need to exclude the underground passage rooms from the total.

    Step 1: Find the number of rooms equivalent to 216 bricks.
    Number of rooms = Number of bricks / Number of bricks per room
    Number of rooms = 216 / 36
    Number of rooms = 6

    Step 2: Find the total number of rooms by adding the rooms from both wings.
    Total number of rooms = Number of rooms in the first wing + Number of rooms in the other wing
    Total number of rooms = 35 + 6
    Total number of rooms = 41

    Since the question asks for the total number of rooms excluding the underground passage rooms, we can assume that the 41 rooms we calculated do not include any underground passage rooms.

    Therefore, according to the given rule and updated information, there are 41 rooms in the castle, excluding the underground passage rooms.

    ### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Problem

Problem: A player scored 15 goals each over 31 matches. However, due to an error, 43 of the goals were discounted. Later, the error was rectified and 40 goals were awarded back to the player. Unfortunately, after a reevaluation of the matches, 26 of those goals were deducted from the player again. How many goals does the player end up with?

Gemma 2B:

    To solve this problem, we need to keep track of the changes in the number of goals scored by the player.

    Given information:
    - The player initially scored 15 goals each over 31 matches, which is 15 × 31 = 465 goals.
    - Due to an error, 43 goals were discounted, so the player had 465 - 43 = 422 goals.
    - The error was rectified, and 40 goals were awarded back, so the player had 422 + 40 = 462 goals.
    - After a reevaluation, 26 goals were deducted from the player, so the player had 462 - 26 = 436 goals.

    Therefore, the player ends up with 436 goals.

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Follow-up

Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?

Gemma 2B:

    In the previous question, we determined that the player ended up with 436 goals.

    Given information:
    - The player's goal tally counted as points in a contest.
    - The multiplier attached to the goal tally was 1.

    To find the number of points the player got in the contest, we need to multiply the player's goal tally by the multiplier.

    Number of points = Player's goal tally × Multiplier
    Number of points = 436 × 1
    Number of points = 436

    Therefore, the player got 436 points in the contest.

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Problem

Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?

Gemma 2B:

    To solve this problem, we need to find the total number of fish in the aquarium initially, and then subtract the number of fish that were relocated.

    Given information:
    - The aquarium has 9 tanks.
    - Each tank has 49 fish.
    - 5 fish from one tank were relocated.

    Step 1: Find the total number of fish in the aquarium initially.
    Total number of fish initially = Number of tanks × Number of fish per tank
    Total number of fish initially = 9 × 49 = 441 fish

    Step 2: Subtract the number of fish that were relocated.
    New total number of fish = Total number of fish initially - Number of fish relocated
    New total number of fish = 441 - 5 = 436 fish

    Therefore, the new total number of fish in the aquarium after relocating 5 fish from one tank is 436 fish.

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Follow-up

Problem: Let's consider another situation. Suppose each of the 9 tanks in the aquarium originally contained 47 fish, instead of 49, and the same number of fish (5) were relocated from one tank as in the previous situation. Now, what would be the total number of fish in the aquarium?

Gemma 2B:

    Okay, let's consider the new situation where each of the 9 tanks originally contained 47 fish, and 5 fish were relocated from one tank.

    Given information:
    - The aquarium has 9 tanks.
    - Each tank originally had 47 fish.
    - 5 fish from one tank were relocated.

    Step 1: Find the total number of fish in the aquarium initially.
    Total number of fish initially = Number of tanks × Number of fish per tank
    Total number of fish initially = 9 × 47 = 423 fish

    Step 2: Subtract the number of fish that were relocated.
    New total number of fish = Total number of fish initially - Number of fish relocated
    New total number of fish = 423 - 5 = 418 fish

    Therefore, the new total number of fish in the aquarium after relocating 5 fish from one tank, where each tank originally had 47 fish, is 418 fish.

    ### Answer: 418

Expected answer: 418

Correct? Yes

🔗 Problem

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. How many cards does Jeremy have now?

Gemma 2B:

    To solve this problem, we need to find the number of cards Jeremy has after discarding and gaining cards.

    Given information:
    - Jeremy initially has 14 cards.
    - Jeremy discards 19 cards.
    - Jeremy gains 32 more cards from the deck.

    Step 1: Find the number of cards Jeremy has after discarding 19 cards.
    Number of cards after discarding = Initial number of cards - Number of cards discarded
    Number of cards after discarding = 14 - 19 = -5

    Note: The negative value indicates that Jeremy has discarded more cards than he initially had.

    Step 2: Find the number of cards Jeremy has after gaining 32 more cards.
    Number of cards after gaining = Number of cards after discarding + Number of cards gained
    Number of cards after gaining = -5 + 32 = 27

    Therefore, Jeremy now has 27 cards.

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: In a card game, Jeremy has 14 cards. He then discards 19 of his cards, and then gains 32 more cards from the deck. In the next moved, Jeremy was fortunate enough to be given 7 more cards and found 12 more discarded cards on the table, which he added to his deck. How many cards does Jeremy have now?

Gemma 2B:

    To solve this problem, we need to find the number of cards Jeremy has after discarding, gaining, and adding more cards.

    Given information:
    - Jeremy initially has 14 cards.
    - Jeremy discards 19 cards.
    - Jeremy gains 32 more cards from the deck.
    - Jeremy is given 7 more cards.
    - Jeremy finds 12 more discarded cards on the table and adds them to his deck.

    Step 1: Find the number of cards Jeremy has after discarding 19 cards and gaining 32 cards.
    Number of cards after discarding and gaining = Initial number of cards - Number of cards discarded + Number of cards gained
    Number of cards after discarding and gaining = 14 - 19 + 32 = 27

    Step 2: Find the number of cards Jeremy has after being given 7 more cards.
    Number of cards after being given 7 more cards = Number of cards after discarding and gaining + Number of cards given
    Number of cards after being given 7 more cards = 27 + 7 = 34

    Step 3: Find the number of cards Jeremy has after adding 12 more discarded cards.
    Number of cards after adding 12 more discarded cards = Number of cards after being given 7 more cards + Number of discarded cards added
    Number of cards after adding 12 more discarded cards = 34 + 12 = 46

    Therefore, Jeremy now has 46 cards.

    ### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Follow-up

Problem: In the card game, let's imagine that Jeremy initially had 14 cards, but this time he only discards 19 cards before gaining 13 more cards from the deck. How many cards does Jeremy have now?

Gemma 2B:

    Okay, let's solve this problem with the new information.

    Given information:
    - Jeremy initially has 14 cards.
    - Jeremy discards 19 cards.
    - Jeremy gains 13 more cards from the deck.

    Step 1: Find the number of cards Jeremy has after discarding 19 cards.
    Number of cards after discarding = Initial number of cards - Number of cards discarded
    Number of cards after discarding = 14 - 19 = -5

    Step 2: Find the number of cards Jeremy has after gaining 13 more cards.
    Number of cards after gaining = Number of cards after discarding + Number of cards gained
    Number of cards after gaining = -5 + 13 = 8

    Therefore, Jeremy now has 8 cards.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A clock ticks 504 times in 42 minutes. Similarly, another clock ticks 279 times in 31 minutes. Add 34 to the rate of the second clock's ticks per minute. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it. Finally, subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock. What is the final value?

Gemma 2B:

    To solve this problem, we need to find the rate of ticks per minute for each clock, manipulate the rates as per the given instructions, and then find the difference between the manipulated rates.

    Given information:
    - The first clock ticks 504 times in 42 minutes.
    - The second clock ticks 279 times in 31 minutes.

    Step 1: Find the rate of ticks per minute for the first clock.
    Rate of ticks per minute for the first clock = Total ticks / Total minutes
    Rate of ticks per minute for the first clock = 504 / 42
    Rate of ticks per minute for the first clock = 12 ticks per minute

    Step 2: Find the rate of ticks per minute for the second clock.
    Rate of ticks per minute for the second clock = Total ticks / Total minutes
    Rate of ticks per minute for the second clock = 279 / 31
    Rate of ticks per minute for the second clock = 9 ticks per minute

    Step 3: Add 34 to the rate of the second clock's ticks per minute.
    Rate of the second clock's ticks per minute after adding 34 = 9 + 34 = 43 ticks per minute

    Step 4: Multiply the first clock's ticks per minute by 35 and then subtract 41 from it.
    Manipulated rate of the first clock's ticks per minute = (12 × 35) - 41
    Manipulated rate of the first clock's ticks per minute = 420 - 41
    Manipulated rate of the first clock's ticks per minute = 379 ticks per minute

    Step 5: Subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock.
    Final value = Manipulated rate of the first clock's ticks per minute - Rate of the second clock's ticks per minute after adding 34
    Final value = 379 - 43
    Final value = 336

    Therefore, the final value after subtracting the rate of the second clock (after adding 34) from the manipulated rate of the first clock is 336.

    ### Answer: 336

Expected answer: 336

Correct? Yes

🔗 Follow-up

Problem: In the previous question about clocks, the second clock actually ticks 279 times in just 2 minutes, not 31 minutes. Re-calculate the rate of ticks per minute for this clock and add 34 to it. As before, calculate the tick rate for the first clock, then multiply it by 35 and subtract 41. Finally, subtract this modified rate of the second clock from the manipulated rate of the first clock. What is the new result?

Gemma 2B:

    Okay, let's recalculate the problem with the updated information that the second clock ticks 279 times in 2 minutes instead of 31 minutes.

    Given information:
    - The first clock ticks 504 times in 42 minutes.
    - The second clock ticks 279 times in 2 minutes.

    Step 1: Find the rate of ticks per minute for the first clock (same as before).
    Rate of ticks per minute for the first clock = Total ticks / Total minutes
    Rate of ticks per minute for the first clock = 504 / 42
    Rate of ticks per minute for the first clock = 12 ticks per minute

    Step 2: Find the rate of ticks per minute for the second clock with the updated information.
    Rate of ticks per minute for the second clock = Total ticks / Total minutes
    Rate of ticks per minute for the second clock = 279 / 2
    Rate of ticks per minute for the second clock = 139.5 ticks per minute

    Step 3: Add 34 to the rate of the second clock's ticks per minute.
    Rate of the second clock's ticks per minute after adding 34 = 139.5 + 34 = 173.5 ticks per minute

    Step 4: Multiply the first clock's ticks per minute by 35 and then subtract 41 from it (same as before).
    Manipulated rate of the first clock's ticks per minute = (12 × 35) - 41
    Manipulated rate of the first clock's ticks per minute = 420 - 41
    Manipulated rate of the first clock's ticks per minute = 379 ticks per minute

    Step 5: Subtract the rate of the second clock (after adding 34) from the manipulated rate of the first clock.
    Final value = Manipulated rate of the first clock's ticks per minute - Rate of the second clock's ticks per minute after adding 34
    Final value = 379 - 173.5
    Final value = 205.5

    Therefore, the new result after subtracting the modified rate of the second clock from the manipulated rate of the first clock is 205.5.

    ### Answer: 205.5

Expected answer: 411/2

Correct? Yes

🔗 Problem

Problem: Nina has noted down the rainfall of her town in centimeters over the last few days. On Tuesday, there was a rainfall of 39 cm. The rainfall decreased by 6 cm on Wednesday and further decreased by 31 cm on Thursday. How much rainfall did Nina note on Thursday?

Gemma 2B:

    To solve this problem, we need to find the rainfall on Thursday by subtracting the decreases in rainfall from the initial rainfall on Tuesday.

    Given information:
    - On Tuesday, the rainfall was 39 cm.
    - On Wednesday, the rainfall decreased by 6 cm.
    - On Thursday, the rainfall further decreased by 31 cm.

    Step 1: Find the rainfall on Wednesday.
    Rainfall on Wednesday = Rainfall on Tuesday - Decrease in rainfall on Wednesday
    Rainfall on Wednesday = 39 cm - 6 cm = 33 cm

    Step 2: Find the rainfall on Thursday.
    Rainfall on Thursday = Rainfall on Wednesday - Decrease in rainfall on Thursday
    Rainfall on Thursday = 33 cm - 31 cm = 2 cm

    Therefore, Nina noted a rainfall of 2 cm on Thursday.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A UFO-watching enthusiast reported seeing 50 UFOs in a month. However, a later investigation revealed that 36 of these were actually meteors. In the next month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (i.e., actual) number of UFO sightings from the previous month, with an additional 5. How many UFO sightings were reported by the enthusiast in the second month?

Gemma 2B:

    To solve this problem, we need to find the actual number of UFO sightings in the first month, and then use that information to calculate the number of reported UFO sightings in the second month.

    Given information:
    - In the first month, the enthusiast reported seeing 50 UFOs.
    - After investigation, it was revealed that 36 of those were actually meteors.
    - In the second month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised (actual) number of UFO sightings from the previous month, with an additional 5.

    Step 1: Find the actual number of UFO sightings in the first month.
    Reported UFO sightings in the first month - Number of meteors = Actual UFO sightings in the first month
    50 - 36 = 14

    Step 2: Calculate the number of reported UFO sightings in the second month.
    Reported UFO sightings in the second month = 41 + Actual UFO sightings in the first month + 5
    Reported UFO sightings in the second month = 41 + 14 + 5
    Reported UFO sightings in the second month = 60

    Therefore, the enthusiast reported seeing 60 UFOs in the second month.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A cat started playing with yarn balls. In her first game, she managed to accumulate 5 yarn balls. In her second game, she got as many balls as the square of what she obtained in the first game plus 8 more. Finally, she lost some of her balls in her third game due to a playful dog. She ended the game with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?

Gemma 2B:

    To solve this problem, we need to find the number of yarn balls the cat accumulated in the second game, and then use that information to find the number of yarn balls she ended up with after the third game.

    Given information:
    - In the first game, the cat accumulated 5 yarn balls.
    - In the second game, she got as many balls as the square of what she obtained in the first game plus 8 more.
    - In the third game, she lost some balls, and ended up with a number of balls which is 25 times the difference between 45 and what she accumulated from the second game.

    Step 1: Find the number of yarn balls the cat accumulated in the second game.
    Number of balls in the second game = (Number of balls in the first game)^2 + 8
    Number of balls in the second game = 5^2 + 8
    Number of balls in the second game = 25 + 8
    Number of balls in the second game = 33

    Step 2: Find the number of yarn balls the cat ended up with after the third game.
    Number of balls after the third game = 25 × (45 - Number of balls in the second game)
    Number of balls after the third game = 25 × (45 - 33)
    Number of balls after the third game = 25 × 12
    Number of balls after the third game = 300

    Therefore, the cat has 300 yarn balls now.

    ### Answer: 300

Expected answer: 300

Correct? Yes

🔗 Follow-up

Problem: Let's rethink the second game the cat played. Suppose that instead of intensifying her third game by multiplying the difference of the balls by 25, the cat only multiplied by 6. After playing her second game, where she got as many balls as the square of what she obtained in the first game (5 yarn balls) plus 8 more, she played her third game. This time around, she ended the game with a number of balls which is 6 times the difference between 45 and what she accumulated from the second game. How many yarn balls does the cat have now?

Gemma 2B:

    Okay, let's rethink the problem with the new information.

    Given information:
    - In the first game, the cat accumulated 5 yarn balls.
    - In the second game, she got as many balls as the square of what she obtained in the first game plus 8 more.
    - In the third game, she ended up with a number of balls which is 6 times the difference between 45 and what she accumulated from the second game.

    Step 1: Find the number of yarn balls the cat accumulated in the second game.
    Number of balls in the second game = (Number of balls in the first game)^2 + 8
    Number of balls in the second game = 5^2 + 8
    Number of balls in the second game = 25 + 8
    Number of balls in the second game = 33

    Step 2: Find the number of yarn balls the cat ended up with after the third game.
    Number of balls after the third game = 6 × (45 - Number of balls in the second game)
    Number of balls after the third game = 6 × (45 - 33)
    Number of balls after the third game = 6 × 12
    Number of balls after the third game = 72

    Therefore, the cat has 72 yarn balls now.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: A basket contains 41 balls. The balls are split into two types - tennis balls and cricket balls. If we remove 16 balls from the basket, we get cricket balls. When 9 ping pong balls and 21 basketballs are added to the basket, what is the total number of balls in the basket?

Gemma 2B:

    To solve this problem, we need to find the number of tennis balls initially in the basket, and then calculate the total number of balls after adding the ping pong balls and basketballs.

    Given information:
    - The basket initially contains 41 balls.
    - After removing 16 balls, the remaining balls are cricket balls.
    - 9 ping pong balls and 21 basketballs are added to the basket.

    Step 1: Find the number of tennis balls initially in the basket.
    Total balls initially = Tennis balls + Cricket balls
    41 = Tennis balls + (41 - 16)
    41 = Tennis balls + 25
    Tennis balls = 41 - 25
    Tennis balls = 16

    Step 2: Calculate the total number of balls after adding the ping pong balls and basketballs.
    Total balls after adding = Tennis balls + Cricket balls + Ping pong balls + Basketballs
    Total balls after adding = 16 + 25 + 9 + 21
    Total balls after adding = 71

    Therefore, after adding 9 ping pong balls and 21 basketballs to the basket, the total number of balls in the basket is 71.

    ### Answer: 71

Expected answer: 55

Correct? No

🔗 Problem

Problem: The design of a classic wall clock dictates that there should be 1 number represented for every 12 around the clock face. However, your quirky modernist clockmaker friend wants to do things differently. They want to represent 37 hours on the clock's face, each hour has an equivalent of 1 square. Your friend has already completed 32 squares. They left their project for a while, and when they came back, they forgot how many squares they needed to fulfill their quirk. So they did some math to figure it out: they subtracted 32 from 37, added 42 to the result, and then subtracted 37 from that total. Suddenly, an idea occurred to them. What if they add 25 more squares for representing minutes on their quirky clock? Plus, they also wanted to add another 28 squares for seconds. Since your friend is a bit forgetful, they forgot how many squares they need again to finish their project. So, they did a little more math - added 41 to 25, followed by another 28, and then added 17 to the result. Because your friend didn't have enough material, they decided that they could reduce the total number of squares by 23. Finally, they added the number they figured out at the beginning (for hours) to this reduced number. Can you help your friend figure out how many squares they would need in total to complete their quirky clock?

Gemma 2B:

    To solve this problem, we need to follow the steps given and perform the calculations.

    Given information:
    - Your friend wants to represent 37 hours on the clock's face, with each hour represented by 1 square.
    - They have already completed 32 squares.
    - They want to add 25 squares for representing minutes.
    - They want to add another 28 squares for representing seconds.

    Step 1: Calculate the number of squares needed for hours.
    Squares needed for hours = 37 - 32 = 5
    Your friend added 42 to this result and then subtracted 37.
    (5 + 42) - 37 = 10

    Step 2: Calculate the number of squares needed for minutes and seconds.
    Squares needed for minutes = 25
    Squares needed for seconds = 28
    Total squares needed for minutes and seconds = 25 + 28 = 53
    Your friend added 41 to 25, followed by 28, and then added 17 to the result.
    (41 + 25 + 28) + 17 = 111

    Step 3: Reduce the total number of squares by 23.
    111 - 23 = 88

    Step 4: Add the number of squares needed for hours to the reduced number.
    Total squares needed = 88 + 10 = 98

    Therefore, your friend would need a total of 98 squares to complete their quirky clock.

    ### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: Your clockmaker friend continues to work at their quirky clock. They thought about the previous calculation for hour squares and realized they made a mistake. Instead of subtracting 37 from the sum of the unfinished hour squares (after adding 42), they should have subtracted only 13. So, they re-did the maths: subtracted 32 from 37, added 42 to the result, and then subtracted only 13 from that total. Everything else remained the same, including the additional 25 squares for the minutes, followed by another 28 squares for the seconds. The following calculations also didn't change: they added 41 to 25, added 28 to the result and then added 17 to the final number. But, just like before, they realized they still lack some material and decided to go on with their decision to reduce the total number of squares by 23. In the end, they added this reduced total to the newly calculated number for hours (after subtracting 13 instead of 37). Can you help your friend figure out (again!) how many squares they would need in total to complete their quirky clock project with the new calculation?

Gemma 2B:

    To solve this problem, we need to follow the updated steps and perform the calculations.

    Given information:
    - Your friend wants to represent 37 hours on the clock's face, with each hour represented by 1 square.
    - They have already completed 32 squares.
    - They want to add 25 squares for representing minutes.
    - They want to add another 28 squares for representing seconds.

    Step 1: Calculate the number of squares needed for hours (with the updated calculation).
    Squares needed for hours = 37 - 32 = 5
    Your friend added 42 to this result and then subtracted 13.
    (5 + 42) - 13 = 34

    Step 2: Calculate the number of squares needed for minutes and seconds.
    Squares needed for minutes = 25
    Squares needed for seconds = 28
    Total squares needed for minutes and seconds = 25 + 28 = 53
    Your friend added 41 to 25, followed by 28, and then added 17 to the result.
    (41 + 25 + 28) + 17 = 111

    Step 3: Reduce the total number of squares by 23.
    111 - 23 = 88

    Step 4: Add the number of squares needed for hours (with the updated calculation) to the reduced number.
    Total squares needed = 88 + 34 = 122

    Therefore, with the updated calculation for the hour squares, your friend would need a total of 122 squares to complete their quirky clock project.

    ### Answer: 122

Expected answer: 122

Correct? Yes

🔗 Problem

Problem: An orange farm produced 2 times the 28 pounds of oranges they typically produce in a single day due to a new method. This production also multiplied by the 15 days of the harvest period. If the farm then added 16 pounds of a rare orange variant to this harvest, how much did the farm produce in total?

Gemma 2B:

    To solve this problem, we need to find the total production of oranges during the harvest period, including the rare orange variant.

    Given information:
    - The farm typically produces 28 pounds of oranges in a single day.
    - Due to a new method, the production was 2 times the typical production.
    - The harvest period lasted for 15 days.
    - The farm added 16 pounds of a rare orange variant to the harvest.

    Step 1: Find the daily production with the new method.
    Daily production with the new method = 2 × 28 pounds = 56 pounds

    Step 2: Find the total production during the harvest period without the rare orange variant.
    Total production during the harvest period = Daily production with the new method × Number of days in the harvest period
    Total production during the harvest period = 56 pounds × 15 days = 840 pounds

    Step 3: Add the rare orange variant to the total production.
    Total production including the rare orange variant = Total production during the harvest period + Weight of the rare orange variant
    Total production including the rare orange variant = 840 pounds + 16 pounds = 856 pounds

    Therefore, the farm produced a total of 856 pounds of oranges, including the rare orange variant, during the harvest period.

    ### Answer: 856

Expected answer: 856

Correct? Yes

🔗 Follow-up

Problem: Previously, the orange farm had been able to double its typical daily output of 28 pounds to increase its harvest yield. However, imagine what would have happened had the farm originally been producing a lesser daily output, such as 7 pounds. If they were still able to double this amount each day of the 15-day harvest period and added the same 16 pounds of the rare orange variant to their yield, how much would the farm have produced in that case?

Gemma 2B:

    To solve this problem, we need to find the total production of oranges during the harvest period, including the rare orange variant, assuming the farm's typical daily output was 7 pounds instead of 28 pounds.

    Given information:
    - The farm's typical daily output was 7 pounds.
    - Due to a new method, the production was doubled.
    - The harvest period lasted for 15 days.
    - The farm added 16 pounds of a rare orange variant to the harvest.

    Step 1: Find the daily production with the new method.
    Daily production with the new method = 2 × 7 pounds = 14 pounds

    Step 2: Find the total production during the harvest period without the rare orange variant.
    Total production during the harvest period = Daily production with the new method × Number of days in the harvest period
    Total production during the harvest period = 14 pounds × 15 days = 210 pounds

    Step 3: Add the rare orange variant to the total production.
    Total production including the rare orange variant = Total production during the harvest period + Weight of the rare orange variant
    Total production including the rare orange variant = 210 pounds + 16 pounds = 226 pounds

    Therefore, if the farm's typical daily output was 7 pounds and they were able to double this amount each day during the 15-day harvest period, and added the same 16 pounds of the rare orange variant, the farm would have produced a total of 226 pounds of oranges.

    ### Answer: 226

Expected answer: 226

Correct? Yes

🔗 Problem

Problem: A bus has 37 passengers. At the next stop, 20 more passengers get on. Before the bus reaches to the next stop, 44 passengers get off. Now, suppose this remaining number of passengers each pays an $11 fare, but the bus company also deducts a $14 service fee from the total fare. How much revenue does the bus company get?

Gemma 2B:

    To solve this problem, we need to find the number of passengers remaining on the bus after the second stop, calculate the total fare collected from them, and then subtract the service fee from the total fare.

    Given information:
    - The bus initially has 37 passengers.
    - At the next stop, 20 more passengers get on.
    - Before the next stop, 44 passengers get off.
    - Each remaining passenger pays an $11 fare.
    - The bus company deducts a $14 service fee from the total fare.

    Step 1: Find the number of passengers remaining on the bus after the second stop.
    Number of passengers after the first stop = 37 + 20 = 57
    Number of passengers remaining after the second stop = 57 - 44 = 13

    Step 2: Calculate the total fare collected from the remaining passengers.
    Total fare collected = Number of remaining passengers × Fare per passenger
    Total fare collected = 13 × $11 = $143

    Step 3: Calculate the revenue for the bus company by subtracting the service fee from the total fare.
    Revenue for the bus company = Total fare collected - Service fee
    Revenue for the bus company = $143 - $14 = $129

    ### Answer: $129

Expected answer: 129

Correct? Yes

🔗 Follow-up

Problem: Following the previously described bus ride, where, after passengers got on and off, the company collected fare from each remaining passenger and deducted a $14 service fee, the company then had to pay a $23 parking fee for the bus at the end of the day. After all these expenses, how much revenue does the bus company have now?

Gemma 2B:

    To solve this problem, we need to take the revenue calculated from the previous question and subtract the parking fee.

    Given information:
    - The bus company had a revenue of $129 after collecting fares from the remaining passengers and deducting the service fee.
    - The bus company had to pay a $23 parking fee for the bus at the end of the day.

    Step 1: Calculate the remaining revenue after paying the parking fee.
    Remaining revenue = Revenue after collecting fares and deducting service fee - Parking fee
    Remaining revenue = $129 - $23 = $106

    Therefore, after all the expenses (service fee and parking fee), the bus company has a revenue of $106.

    ### Answer: $106

Expected answer: 106

Correct? Yes

🔗 Follow-up

Problem: Suppose we revisit the scenario of the bus ride. This time, imagine that instead of 37 passengers initially on the bus, there were only 28 passengers. Then, the bus picked up 20 more passengers at the next stop, but 44 passengers get off before the next stop. The remaining passengers each pay a bus fare of $11, but the company also deducts a $14 service fee from the total fares. How much revenue does the bus company get in this situation?

Gemma 2B:

    To solve this problem, we need to find the number of passengers remaining on the bus after the second stop, calculate the total fare collected from them, and then subtract the service fee from the total fare.

    Given information:
    - The bus initially has 28 passengers.
    - At the next stop, 20 more passengers get on.
    - Before the next stop, 44 passengers get off.
    - Each remaining passenger pays an $11 fare.
    - The bus company deducts a $14 service fee from the total fare.

    Step 1: Find the number of passengers remaining on the bus after the second stop.
    Number of passengers after the first stop = 28 + 20 = 48
    Number of passengers remaining after the second stop = 48 - 44 = 4

    Step 2: Calculate the total fare collected from the remaining passengers.
    Total fare collected = Number of remaining passengers × Fare per passenger
    Total fare collected = 4 × $11 = $44

    Step 3: Calculate the revenue for the bus company by subtracting the service fee from the total fare.
    Revenue for the bus company = Total fare collected - Service fee
    Revenue for the bus company = $44 - $14 = $30

    ### Answer: $30

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?

Gemma 2B:

    To solve this problem, we need to find the total number of gems the pirate had initially and then subtract the number of gems he gave away to his crewmates.

    Given information:
    - The pirate found 13 emeralds, 42 rubies, and 19 sapphires in the treasure chest.
    - The pirate gave away 43 gems to his crewmates.

    Step 1: Find the total number of gems the pirate had initially.
    Total gems = Number of emeralds + Number of rubies + Number of sapphires
    Total gems = 13 + 42 + 19
    Total gems = 74

    Step 2: Find the number of gems the pirate had left after giving away 43 gems.
    Gems left = Total gems - Gems given away
    Gems left = 74 - 43
    Gems left = 31

    Therefore, the pirate had 31 gems left after giving away 43 gems to his crewmates.

    ### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A certain reserve has 16 ginger giraffes. They then bring in the same number of golden giraffes as they had of the ginger ones. Later, they decide to add another group of 46 greyish giraffes. What is the total number of giraffes in the reserve now?

Gemma 2B:

    To solve this problem, we need to find the number of ginger giraffes, golden giraffes, and greyish giraffes, and then add them together.

    Given information:
    - The reserve initially had 16 ginger giraffes.
    - They brought in the same number of golden giraffes as they had ginger giraffes.
    - They added another group of 46 greyish giraffes.

    Step 1: Find the number of golden giraffes.
    Number of golden giraffes = Number of ginger giraffes = 16

    Step 2: Find the total number of giraffes in the reserve.
    Total number of giraffes = Number of ginger giraffes + Number of golden giraffes + Number of greyish giraffes
    Total number of giraffes = 16 + 16 + 46
    Total number of giraffes = 78

    Therefore, the total number of giraffes in the reserve now is 78.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?

Gemma 2B:

    In the previous problem, we found that the total number of giraffes in the reserve was 78, which included:
    - 16 ginger giraffes
    - 16 golden giraffes
    - 46 greyish giraffes

    Now, we are told that 2 of the greyish giraffes have left the reserve.

    To find the new total number of giraffes, we need to subtract 2 from the number of greyish giraffes.

    Number of greyish giraffes after 2 left = 46 - 2 = 44

    Total number of giraffes now = Number of ginger giraffes + Number of golden giraffes + Number of greyish giraffes
    Total number of giraffes now = 16 + 16 + 44
    Total number of giraffes now = 76

    Therefore, after the 2 greyish giraffes left, there are now 76 giraffes in the reserve.

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?

Gemma 2B:

    Okay, let's reconsider the scenario with the new information.

    Given information:
    - The reserve initially had 42 ginger giraffes.
    - They brought in the same number of golden giraffes as they had ginger giraffes.
    - They added another group of 46 greyish giraffes.

    Step 1: Find the number of golden giraffes.
    Number of golden giraffes = Number of ginger giraffes = 42

    Step 2: Find the total number of giraffes in the reserve.
    Total number of giraffes = Number of ginger giraffes + Number of golden giraffes + Number of greyish giraffes
    Total number of giraffes = 42 + 42 + 46
    Total number of giraffes = 130

    Therefore, under the new scenario where the reserve initially had 42 ginger giraffes, the total number of giraffes in the reserve now is 130.

    ### Answer: 130

Expected answer: 130

Correct? Yes

🔗 Problem

Problem: A turtle decides to swim. One day, it travels as many leagues as 11 plus 10, then multiplies that by 16 to get the total distance it swam that week. Later, it realized it had over calculated the distance by 41 leagues. What is the real distance it swam that week?

Gemma 2B:

    To solve this problem, we need to find the total distance the turtle swam initially and then subtract the overcalculated amount.

    Given information:
    - The turtle swam a distance equal to (11 + 10) × 16 leagues.
    - The turtle overcalculated the distance by 41 leagues.

    Step 1: Find the total distance the turtle swam initially.
    Total distance = (11 + 10) × 16
    Total distance = 21 × 16
    Total distance = 336 leagues

    Step 2: Subtract the overcalculated amount from the initial total distance.
    Real distance = Total distance - Overcalculated amount
    Real distance = 336 - 41
    Real distance = 295 leagues

    Therefore, the real distance the turtle swam that week is 295 leagues.

    ### Answer: 295

Expected answer: 295

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?

Gemma 2B:

    Okay, let's solve this step-by-step:

    Given information:
    - The turtle swam 11 leagues plus 17 leagues per day.
    - The turtle swam for a week (7 days).
    - The turtle initially overcalculated the distance by 41 leagues.

    Step 1: Find the daily distance the turtle swam.
    Daily distance = 11 leagues + 17 leagues
    Daily distance = 28 leagues

    Step 2: Find the total distance the turtle swam in a week.
    Total distance in a week = Daily distance × Number of days
    Total distance in a week = 28 leagues × 7 days
    Total distance in a week = 196 leagues

    Step 3: Subtract the overcalculated amount from the total distance.
    Real distance = Total distance - Overcalculated amount
    Real distance = 196 leagues - 41 leagues
    Real distance = 155 leagues

    Therefore, the turtle actually swam 155 leagues in the originally estimated week.

    ### Answer: 155

Expected answer: 407

Correct? No