🔗 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:

    Reasoning: The songwriter has 162 words per verse and 18 lines per verse, so the number of words per line is 162 ÷ 18 = 9 words per line.
    To each line, he adds 34 more words as a refrain, so the total number of words present in each line now is 9 + 34 = 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:

    Reasoning: The songwriter already has 43 words in each line.
    Since he adds an extra refrain of 39 words to the end of each verse, and there are 18 lines in each verse, the extra refrain is distributed among the 18 lines. So, each line gets 39 ÷ 18 = 2.17 (approximately) extra words.
    To find the total number of words in each line, add the extra words to the existing words: 43 + 2.17 ≈ 45.17.
    Since we can't have a fraction of a word, we can round up to the nearest whole number, as it's more likely that the songwriter would add a whole word rather than a fraction of a word.
    ### 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:

    Reasoning: The songwriter has 162 words per verse and 18 lines per verse, so the number of words per line is 162 ÷ 18 = 9 words per line.
    To each line, he adds 28 more words as a refrain, so the total number of words present in each line now is 9 + 28 = 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:

    Let's break this down step by step:

    1. The biologist counted 35 penguins on the small ice floe initially.
    2. In another part of the Antarctic, she found 598 penguins divided evenly among 26 ice floes, so each ice floe had 598 ÷ 26 = 23 penguins.
    3. The penguin population on the small ice floe increased by 49, so now there are 35 + 49 = 84 penguins.
    4. She decided to take 33 more penguins into account, so now there are 84 + 33 = 117 penguins.
    5. However, she realized she had overestimated and had to subtract 10 from her calculations, so now there are 117 - 10 = 107 penguins.
    6. Finally, she added in the penguins she'd left at her base camp, which were 20 adults and 14 chicks, making a total of 20 + 14 = 34 penguins.
    7. The total number of penguins she counted is the sum of the penguins on the small ice floe and the penguins at her base camp: 107 + 34 = 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:

    Reasoning: Let's break down the information about the first jungle gym:
    - The top 19 steps are blue.
    - The rest of the steps, along with another 19 steps, are red.
    Since there are 27 steps in total, the rest of the steps (not blue) are 27 - 19 = 8.
    So, the red steps are 8 + 19 = 27.
    In total, the first jungle gym has 19 blue steps and 27 red steps, making a total of 19 + 27 = 46 colored steps.

    The second jungle gym has 34 green steps.

    To find the total number of colored steps on both jungle gyms, we add the number of colored steps on each:
    46 (from the first jungle gym) + 34 (from the second jungle gym) = 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:

    Let's break down the problem step by step:

    1. The average rainfall of the typical cloud per hour is 775 mm / 31 hours = 25 mm/hour.
    2. Subtract 22 from the average rainfall per hour: 25 - 22 = 3 mm/hour.
    3. Multiply this result by 23: 3 × 23 = 69 mm.
    4. Add this result to the constant cloud factor of 42: 69 + 42 = 111 mm.
    5. Add this new result to the hourly rainfall of the initial cloud: 111 + 47 = 158 mm.
    6. Subtract 2 from it: 158 - 2 = 156 mm.

    ### Answer: 156 mm

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:

    Let's go through the same steps as before:

    1. The average rainfall of the typical cloud per hour is 775 mm / 31 hours = 25 mm/hour.
    2. Subtract 22 from the average rainfall per hour: 25 - 22 = 3 mm/hour.
    3. Multiply this result by 23: 3 × 23 = 69 mm.
    4. Add this result to the constant cloud factor of 42: 69 + 42 = 111 mm.
    5. Add this new result to the hourly rainfall of the initial cloud: 111 + 15 = 126 mm.
    6. Subtract 2 from it: 126 - 2 = 124 mm.

    ### Answer: 124 mm

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:

    Reasoning: Nadia practiced for 45 minutes in the morning. Then, she practiced for 35 minutes in the afternoon and 35 minutes in the evening, which is a total of 35 + 35 = 70 minutes. To find the total practice time, we add the morning practice time to the afternoon and evening practice time: 45 + 70 = 115 minutes.

    ### Answer: 115 minutes

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:

    Reasoning: Nadia's morning practice time is now 26 minutes. Her afternoon and evening practice times remain the same, 35 minutes each. The total practice time for the afternoon and evening sessions is still 35 + 35 = 70 minutes. To find the total practice time for the day, we add the morning practice time to the afternoon and evening practice time: 26 + 70 = 96 minutes.

    ### Answer: 96 minutes

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:

    Reasoning: To find the discount factor, we need to divide 465 by 31, which gives us 465 ÷ 31 = 15.

    Since the prices are reduced by a factor of 15, the new price of the dress will be $44 ÷ 15.

    To find the new price, we can divide $44 by 15, which gives us $44 ÷ 15 = $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:

    Reasoning: On Monday, the rope maker made 46 meters of rope.
    On Tuesday, he made 46 + 19 = 65 meters of rope.
    In total, he made 46 + 65 = 111 meters of rope.
    After 9 meters were damaged, he had 111 - 9 = 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:

    Reasoning: Juliana bought 16 pairs of earrings at $2 each, so the total cost of the earrings is 16 x $2 = $32.
    She also bought a jewelry box for $25, so the total cost of the earrings and the jewelry box is $32 + $25 = $57.
    Finally, she paid $48 for the gift wrapping service, so the total amount she spent is $57 + $48 = $105.
    ### 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:

    Reasoning: Emma divides 60 beads equally among 3 friends, so each friend gets 60/3 = 20 beads.
    Then, Emma adds 4 more beads to each friend's pile, so each friend now has 20 + 4 = 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:

    Reasoning: Emma divides 60 beads equally among 28 friends, so each friend gets 60/28 = 2.14 (but since we can't divide beads, we'll round down to 2 beads per friend).
    Then, Emma adds 4 more beads to each friend's pile, so each friend now has 2 + 4 = 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:

    Let's break this down step by step:

    Initially, the boy had 37 paper straws.

    He removed 4 unnecessary straws, leaving him with:
    37 - 4 = 33 straws

    Later, he removed 23 more straws, leaving him with:
    33 - 23 = 10 straws

    He then multiplied the remaining number of straws by 45:
    10 × 45 = 450

    Next, he subtracted 49 from that total:
    450 - 49 = 401

    Finally, he took out 7 more straws:
    401 ÷ 7 = 57 (but we're looking for the number of straws left, so we subtract 7)
    401 - 7 = 394

    However, the question asks for the number of straws left, not the result of the multiplication and subtraction operations. So, we need to go back to the number of straws he had before these operations:
    10 straws

    He took out 7 more straws, leaving him with:
    10 - 7 = 3 straws

    ### Answer: 3

Expected answer: 394

Correct? No

🔗 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:

    Let's break this down step by step:

    1. Each trip sees 2 animals, and each animal has 3 baby animals, so the total number of animals seen per trip is 2 x 3 = 6.
    2. Since there are 2 trips, the total number of animals seen is 2 x 6 = 12.
    3. Each baby animal can be photographed 21 times, and there are 3 baby animals per animal, so the total number of photos per animal is 3 x 21 = 63.
    4. Since there are 12 animals, the total number of photos is 12 x 63 = 756.
    5. However, 34 photos are spoiled and unusable, so we subtract those: 756 - 34 = 722.
    6. Guests are given the opportunity to take an additional 30 photos, so we add those: 722 + 30 = 752.

    ### Answer: 752

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:

    Reasoning: Initially, the learners had 47 letters.
    After removing 30 letters, they had 47 - 30 = 17 letters.
    Then, they added 10 more letters, making it 17 + 10 = 27 letters.
    Finally, they removed 3 letters, leaving them with 27 - 3 = 24 letters.
    ### 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:

    Reasoning: The learners had 24 letters after the last deletion.
    They added 39 more letters, making it 24 + 39 = 63 letters.
    ### 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:

    Reasoning: Initially, the learners had 47 letters.
    After removing 30 letters, they had 47 - 30 = 17 letters.
    Then, they added -6 letters (which means they removed 6 more letters), making it 17 - 6 = 11 letters.
    ### 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:

    Reasoning: Since Tommy's speed doesn't change overall, his average speed is still his initial speed, which is 74/37 miles per hour. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 37. This gives us 2 miles per hour.

    ### Answer: 2

Expected answer: 1

Correct? No

🔗 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:

    Reasoning: Since Liam has 40 sets of building blocks, and each set contains 16 blocks, we can multiply the number of sets by the number of blocks per set to find the total number of blocks.

    40 sets x 16 blocks/set = 40 x 16 = 640 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:

    Reasoning: Liam had 640 building blocks initially and gave away 25 blocks to his friend. To find the number of blocks Liam has left, we can subtract the number of blocks he gave away from the total number of blocks he had.

    640 - 25 = 615

    ### 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:

    Reasoning: Since Liam has 38 sets of building blocks, and each set contains 16 blocks, we can multiply the number of sets by the number of blocks per set to find the total number of blocks.

    38 sets x 16 blocks/set = 38 x 16 = 608 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:

    Let's break this down step by step!

    John had 24 pencils initially.
    The problem states that the number of pencils he has now is equal to the number of pencils he had plus 7. This means we can set up an equation:

    New number of pencils = Initial number of pencils + 7
    New number of pencils = 24 + 7
    New number of pencils = 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:

    John already had 31 pencils, and he received 26 more pencils as a gift. To find the total number of pencils he has now, we can simply add the two numbers:

    31 (initial pencils) + 26 (new pencils) = 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:

    Let's follow the same steps as before!

    John had 2 pencils initially.
    The problem states that the number of pencils he has now is equal to the number of pencils he had plus 7. This means we can set up an equation:

    New number of pencils = Initial number of pencils + 7
    New number of pencils = 2 + 7
    New number of pencils = 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:

    Reasoning: City A has 50 - 36 = 14 days of snowfall left.
    City B has an average daily snowfall of 98 / 14 = 7 inches.
    The total snowfall in City A is expected to be 14 * 7 = 98 inches.
    However, the snow removal has removed 7 inches, so the amount of snow left in City A is 98 - 7 = 91 inches.
    ### Answer: 91

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:

    Reasoning: On the first day, the pirate finds 28 rubies.
    On the second day, he finds 28 (first day's find) + 21 (additional rubies) = 49 rubies.
    In total, the pirate has 28 + 49 = 77 rubies after the second day.
    ### 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:

    Reasoning: After the second day, the pirate had 77 rubies.
    He finds 29 additional rubies, so he now has 77 + 29 = 106 rubies.
    Unfortunately, he loses 36 rubies, so he is left with 106 - 36 = 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:

    Reasoning: On the first day, the pirate finds 6 rubies.
    On the second day, he finds 6 (first day's find) + 21 (additional rubies) = 27 rubies.
    In total, the pirate has 6 + 27 = 33 rubies after the second day.
    ### 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:

    Let's break it down step by step:

    January: 47 inches
    Early February: 47 + 7 = 54 inches
    February 15th: 54 + 17 = 71 inches
    March: 71 + 48 = 119 inches
    April: 119 + 31 = 150 inches (early April)
    By the end of April, 27 inches melted, so we subtract: 150 - 27 = 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:

    Let's follow the same pattern:

    January: 47 inches
    Early February: 47 + 7 = 54 inches
    February 15th: 54 + 17 = 71 inches
    March: 71 + 48 = 119 inches
    April: 119 + 44 = 163 inches (early April)
    By the end of April, 27 inches melted, so we subtract: 163 - 27 = 136 inches

    ### Answer: 136

Expected answer: 136

Correct? Yes

🔗 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:

    Reasoning: The vendor sold 46 balloons every hour for 11 hours, so he sold a total of 46 x 11 = 506 balloons during those 11 hours.
    After the fair had closed, he sold an additional 31 balloons, so the total number of balloons sold that day is 506 + 31 = 537.
    ### 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:

    Reasoning: In the first game, Mary scored 31 points and John scored 39 points, so their combined score was 31 + 39 = 70 points.
    In the second game, their combined score was increased by 35 more points, so their new combined score is 70 + 35 = 105 points.
    The difference between 27 and the number of cards left in the deck (23) is 27 - 23 = 4.
    In the special round, they could multiply their score by this difference, so their final score is 105 × 4 = 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:

    Reasoning: Mary and John's combined score after the special round was 420 points.
    They discovered 2 extra points they hadn't accounted for earlier, so they added these points to their score: 420 + 2 = 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:

    Reasoning: In the first game, Mary scored 31 points and John scored 39 points, so their combined score was 31 + 39 = 70 points.
    In the second game, their combined score was increased by 50 more points, so their new combined score is 70 + 50 = 120 points.
    The difference between 27 and the number of cards left in the deck (23) is 27 - 23 = 4.
    In the special round, they could multiply their score by this difference, so their final score is 120 × 4 = 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:

    Reasoning: In the morning, the company produced 17 + 18 = 35 seats.
    In the afternoon, they produced 29 seats.
    In the evening, they repeated the morning production, so they produced another 35 seats.
    Total production = 35 + 29 + 35 = 99 seats.
    After giving away 48 chairs to charity, they had 99 - 48 = 51 seats left.
    After using 7 chairs for quality testing, they had 51 - 7 = 44 seats left.
    ### Answer: 44

Expected answer: 73

Correct? No

🔗 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:

    Reasoning: The popular jungle gym has 46 monkey bars and 18 swinging ropes, for a total of 46 + 18 = 64 play components.

    The new jungle gym has 2 extra long zip lines and 20 regular zip lines, for a total of 2 + 20 = 22 zip lines. Each zip line requires 31 special hooks, so the total number of hooks used is 22 x 31 = 682.

    To find the difference, subtract the number of play components on the popular jungle gym from the number of hooks used on the new jungle gym: 682 - 64 = 618.

    ### 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:

    Reasoning: John divides $168 by 21, so he has $168 ÷ 21 = $8 per day.
    He gets an additional $47, so he now has $168 + $47 = $215.
    He then receives another amount of money, which is $12 + $45 = $57.
    Adding this to his total, he now has $215 + $57 = $272.
    ### Answer: $272.

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:

    Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes, it can stack 32 x 4 = 128 boxes.
    After picking up 1 extra box, the robot will have stacked a total of 128 + 1 = 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:

    Reasoning: Before the robot took a break, it had stacked 128 boxes (as calculated earlier).
    After knocking over 21 boxes, the number of boxes remaining is 128 - 21 = 107.
    ### 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:

    Reasoning: The robot can stack 32 boxes in 1 minute, so in 4 minutes, it can stack 32 x 4 = 128 boxes.
    After picking up an extra 11 boxes, the robot will have stacked a total of 128 + 11 = 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:

    Reasoning: The female tiger gave birth to 26 cubs. Unfortunately, 17 of them did not survive, so the number of surviving cubs is 26 - 17 = 9.
    After growing up, 6 of the surviving tigers moved to other territories, so the number of tigers that remained in the female tiger's territory is 9 - 6 = 3.
    ### 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:

    Reasoning: The female tiger gave birth to 24 cubs. Unfortunately, 17 of them did not survive, so the number of surviving cubs is 24 - 17 = 7.
    After growing up, 6 of the surviving tigers moved to other territories, so the number of tigers that remained in the female tiger's territory is 7 - 6 = 1.
    ### 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:

    Reasoning: The colony started with 44 penguins.
    After 39 new penguins joined, the total number of penguins became 44 + 39 = 83.
    Then, 16 penguins left, leaving 83 - 16 = 67 penguins.
    Finally, 35 more penguins joined, making the total number of penguins 67 + 35 = 102.
    ### 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:

    Reasoning: The colony started with 44 penguins.
    After 39 new penguins joined, the total number of penguins became 44 + 39 = 83.
    Then, 16 penguins left, leaving 83 - 16 = 67 penguins.
    Finally, 12 more penguins joined, making the total number of penguins 67 + 12 = 79.
    ### 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:

    Reasoning: The helicopter originally travels 10 miles in 1 minute. If it increases its speed by 40 miles, it will travel 10 + 40 = 50 miles in 1 minute. Then, if it increases its speed by another 20 miles, it will travel 50 + 20 = 70 miles in 1 minute.

    To find out how far it will travel in 12 minutes, we can multiply the speed by the time: 70 miles/minute × 12 minutes = 840 miles.

    ### 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:

    Reasoning: The helicopter originally travels 10 miles in 1 minute. If it increases its speed by 2 miles, it will travel 10 + 2 = 12 miles in 1 minute. Then, with the additional bonus speed of 20 miles, it will travel 12 + 20 = 32 miles in 1 minute.

    To find out how far it will travel in 12 minutes, we can multiply the speed by the time: 32 miles/minute × 12 minutes = 384 miles.

    ### 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:

    Reasoning: To find the difference in magnification power, we need to subtract the magnification power of the existing telescope from the required magnification power of the new telescope.

    Required magnification power = 41
    Existing magnification power = 26

    Difference in magnification power = Required magnification power - Existing magnification power
    = 41 - 26
    = 15

    ### 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:

    Reasoning: To find the difference in magnification power, we need to subtract the magnification power of the existing telescope from the required magnification power of the new telescope.

    Required magnification power = 41
    Existing magnification power = 16

    Difference in magnification power = Required magnification power - Existing magnification power
    = 41 - 16
    = 25

    ### 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:

    Reasoning: Sophie earned $18/hour and worked 2 hours on Monday, so she earned 2 x $18 = $36.
    After buying the $4 ice cream and $4 coffee, she had $36 - $4 - $4 = $28 left.
    On the next day, she worked for 1 hour and earned $18, and added the leftover $28 to it, so she had $18 + $28 = $46.
    Then, she received a $45 bonus from her grandmother, so she now has $46 + $45 = $91.
    ### Answer: $91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: In the same scenario, imagine if Sophie's parents now give her $5 for every hour she works at the family business instead of $18. She still works for two hours on Monday, spends the same amount on ice cream and coffee, works an additional hour, and receives the same $45 bonus from her grandmother. How much money does Sophie have in total now?

Gemma 2B:

    Reasoning: Sophie earns $5/hour and works 2 hours on Monday, so she earns 2 x $5 = $10.
    After buying the $4 ice cream and $4 coffee, she has $10 - $4 - $4 = $2 left.
    On the next day, she works for 1 hour and earns $5, and adds the leftover $2 to it, so she has $5 + $2 = $7.
    Then, she receives a $45 bonus from her grandmother, so she now has $7 + $45 = $52.
    ### Answer: $52

Expected answer: 52

Correct? Yes

🔗 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:

    Let's break this down step by step:

    Initially, the company had 30 beach towels and 6 hand towels, making a total of 30 + 6 = 36 towels.

    They gave away 7 towels for charity, leaving them with 36 - 7 = 29 towels.

    Then, they produced 14 more towels, adding to their current stock, making a total of 29 + 14 = 43 towels.

    Next, they made a special batch of 13 towels for every towel left after their charity activity, which is 13 x 29 = 377 towels. They deducted 19 towels from this special batch, leaving them with 377 - 19 = 358 towels in their premium collection.

    Then, they removed 20 damaged towels from the premium collection, leaving them with 358 - 20 = 338 towels.

    After that, they deducted 3 more towels from the remaining premium collection, leaving them with 338 - 3 = 335 towels.

    Finally, they combined the remaining premium collection with the total they had after their second batch of production, which is 335 + 43 = 378 towels.

    ### 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:

    Reasoning: The extraterrestrial being initially has 50 energy crystals. They will receive 20 more, making a total of 50 + 20 = 70 energy crystals.

    The hidden compartment in the zorbcraft already contains 50 energy crystals and 6 lumino-gems, for a total of 50 + 6 = 56 items.

    When the 20 new energy crystals are added to the compartment, the total number of items in the compartment will be 56 + 20 = 76.

    ### 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:

    Reasoning: The park initially had 43 Velociraptors. Then, 972 dinosaurs were added, but they were in sections of 27, so the actual number of new dinosaur types added was 972/27 = 36. This means the total number of dinosaurs is now 43 + 36 = 79. Since the number of Velociraptors is more, the difference is 43 - 36 = 7. Multiplying this difference by 7 (since each Velociraptor laid 7 eggs), we get 7 x 7 = 49 eggs.
    ### 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:

    Reasoning: Previously, we found that the Velociraptors laid a total of 49 eggs. However, 46 of these eggs were not fertilized and will not hatch. To find the number of eggs that are expected to successfully hatch, we subtract the number of unfertilized eggs from the total number of eggs: 49 - 46 = 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:

    Reasoning: Let's recalculate the number of new dinosaur types added: 972 / 46 = 21. The total number of dinosaurs is now 43 + 21 = 64. Since the number of Velociraptors is more, the difference is 43 - 21 = 22. Multiplying this difference by 7 (since each Velociraptor laid 7 eggs), we get 22 x 7 = 154 eggs.
    ### 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:

    Reasoning: Maria took 16 oranges from the bowl, so we need to subtract 16 from the total number of oranges, which is 46.

    46 - 16 = 30

    ### 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:

    Reasoning: Maria took 16 oranges from the bowl, so we need to subtract 16 from the total number of oranges, which is 49.

    49 - 16 = 33

    ### 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:

    Reasoning: The factory produces 37 toothbrushes per minute. Let's find out how many toothbrushes it produces in 16 minutes at this rate: 37 x 16 = 592 toothbrushes.

    Later, the factory increases its production rate to 308 toothbrushes every 7 minutes. Since it continues at this rate for 16 minutes, we can find out how many batches of 7 minutes it produces: 16 ÷ 7 = 2 with a remainder of 2. This means it produces 2 full batches of 7 minutes, and then 2 more minutes at the increased rate.

    In 2 full batches of 7 minutes, the factory produces 2 x 308 = 616 toothbrushes.

    In the remaining 2 minutes, the factory produces toothbrushes at a rate of 308 ÷ 7 = 44 toothbrushes per minute. So, in 2 minutes, it produces 44 x 2 = 88 toothbrushes.

    The total number of toothbrushes produced is the sum of the toothbrushes produced at both rates: 592 + 616 + 88 = 1296 toothbrushes.

    ### Answer: 1296

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:

    Let's break down the problem step by step:

    Initially, the laboratory has 39 telescopes.

    In the first month, they added 7 more telescopes, making a total of:
    39 + 7 = 46 telescopes

    In the second month, they added 17 more telescopes, making a total of:
    46 + 17 = 63 telescopes

    In the third month, they added 12 more telescopes, making a total of:
    63 + 12 = 75 telescopes

    In the fourth month, they added 18 more telescopes, making a total of:
    75 + 18 = 93 telescopes

    In the fifth month, they added 39 more telescopes (the same number as they had initially), making a total of:
    93 + 39 = 132 telescopes

    In the sixth month, they added 19 more telescopes, making a total of:
    132 + 19 = 151 telescopes

    ### 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:

    Let's recalculate the total count of telescopes at the end of the sixth month, taking into account the correction:

    Initially, the laboratory has 39 telescopes.

    In the first month, they added 7 more telescopes, making a total of:
    39 + 7 = 46 telescopes

    In the second month, they added 17 more telescopes, making a total of:
    46 + 17 = 63 telescopes

    In the third month, they added 29 more telescopes (not 12), making a total of:
    63 + 29 = 92 telescopes

    In the fourth month, they added 18 more telescopes, making a total of:
    92 + 18 = 110 telescopes

    In the fifth month, they added 39 more telescopes (the same number as they had initially), making a total of:
    110 + 39 = 149 telescopes

    In the sixth month, they added 19 more telescopes, making a total of:
    149 + 19 = 168 telescopes

    ### 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:

    Let's break this down step by step:

    Initially, there were 20 forks and 23 knives, making a total of 20 + 23 = 43 utensils.

    Later, 28 more sets of cutlery were added, each set containing 26 utensils. So, the total number of utensils added is 28 x 26 = 728.

    The total number of utensils expected is 43 (initial) + 728 (added) = 771.

    However, they found 7 more utensils than expected, so the actual total number of utensils is 771 + 7 = 778.

    But, there were 46 missing utensils, so the actual number of utensils is 778 - 46 = 732.

    Finally, they had to remove the original set of 20 forks and 23 knives, which is a total of 43 utensils. So, the number of utensils left on the table is 732 - 43 = 689.

    ### 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:

    Reasoning: The unicorn had 50 red roses, which were not affected by the storm.
    The unicorn had 36 blue roses, but 25 were destroyed, leaving 36 - 25 = 11 blue roses.
    In total, the unicorn has 50 + 11 = 61 roses left in her garden after the storm.
    ### 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:

    Reasoning: The unicorn already had 61 roses in her garden after the storm.
    She planted 41 more pink roses, so the total number of roses is 61 + 41 = 102.
    ### 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:

    Reasoning: The unicorn had 50 red roses, which were not affected by the storm.
    The unicorn had 38 blue roses, but 25 were destroyed, leaving 38 - 25 = 13 blue roses.
    In total, the unicorn has 50 + 13 = 63 roses left in her 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:

    Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse, which is 100/2 = 50 bottles.

    At another location, triple the amount sent to the first warehouse was marked for shipping, which is 3 x 50 = 150 bottles.

    In addition to the 150 bottles, 29 more bottles were added, making a total of 150 + 29 = 179 bottles.

    By the end of the day, 28 more bottles were added to this shipment, making a total of 179 + 28 = 207 bottles.

    ### 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:

    Reasoning: The factory produces 100 bottles every hour. Half of the hourly production is sent to one warehouse, which is 100/2 = 50 bottles.

    At another location, triple the amount sent to the first warehouse was marked for shipping, which is 3 x 50 = 150 bottles.

    In addition to the 150 bottles, 29 more bottles were added, making a total of 150 + 29 = 179 bottles.

    By the end of the day, 50 more bottles were added to this shipment, making a total of 179 + 50 = 229 bottles.

    ### 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:

    Let's break this problem down step by step:

    1. The height of the window frame is calculated as the sum of 925 divided by 37 and 26 inches.

    Height = (925 ÷ 37) + 26
    = 25 + 26
    = 51 inches

    2. The width of the window is 11 inches greater than the height.

    Width = Height + 11
    = 51 + 11
    = 62 inches

    3. The circumference of the window is calculated as the sum of twice the width and the height.

    Circumference = 2 × Width + Height
    = 2 × 62 + 51
    = 124 + 51
    = 175 inches

    4. The size of the glass required for the window is calculated by subtracting 32 from the circumference.

    Size of glass = Circumference - 32
    = 175 - 32
    = 143 inches

    ### Answer: 143 inches

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:

    Let's recalculate the size of the glass required for the window with the new measurements:

    1. The height of the window frame is calculated as the sum of 925 divided by 37 and 16 inches.

    Height = (925 ÷ 37) + 16
    = 25 + 16
    = 41 inches

    2. The width of the window is 11 inches greater than the height.

    Width = Height + 11
    = 41 + 11
    = 52 inches

    3. The circumference of the window is calculated as the sum of twice the width and the height.

    Circumference = 2 × Width + Height
    = 2 × 52 + 41
    = 104 + 41
    = 145 inches

    4. The size of the glass required for the window is calculated by subtracting 32 from the circumference.

    Size of glass = Circumference - 32
    = 145 - 32
    = 113 inches

    ### Answer: 113 inches

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:

    Let's break this down step by step:

    1. The pirate divides 135 gold coins among 9 crew members, so each crew member gets:
    135 ÷ 9 = 15 gold coins

    2. The pirate divides 323 emeralds among 19 crew members, so each crew member gets:
    323 ÷ 19 = 17 emeralds

    3. The pirate multiplies the shares to find the total share per crew member:
    15 × 17 = 255

    4. However, the pirate realizes he has overcounted the share by 14, so the corrected total share per crew member is:
    255 - 14 = 241

    ### Answer: 241

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:

    Let's break this down step by step:

    1. The chocolatier divides each 176g bar into 8 pieces, so each piece weighs:
    176g ÷ 8 = 22g

    2. For the second batch, the recipe calls for 38g of cocoa, and then subtracts the weight of one piece (22g) and adds 26g of sugar. So, the total weight of ingredients for the second batch is:
    38g - 22g + 26g = 42g

    3. For the third batch, the recipe calls for 38g of cocoa and 18g of milk. So, the total weight of ingredients for the third batch is:
    38g + 18g = 56g

    4. Now, let's find the difference in the total weight of ingredients between the second and third batch:
    56g - 42g = 14g

    ### Answer: 14g

Expected answer: 14

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original problem, the chocolatier decides to reduce the amount of sugar in his special recipe. Initially, he was adding 26 grams of sugar but now, he's decided to only add 6 grams. How does this change in sugar affect the difference in the total weight of ingredients between the second (now modified) and third batch of chocolates?

Gemma 2B:

    Let's revisit the calculation for the second batch with the reduced sugar amount:

    1. The recipe still calls for 38g of cocoa, and then subtracts the weight of one piece (22g) and adds 6g of sugar (instead of 26g). So, the total weight of ingredients for the modified second batch is:
    38g - 22g + 6g = 22g

    2. The total weight of ingredients for the third batch remains the same:
    38g + 18g = 56g

    3. Now, let's find the difference in the total weight of ingredients between the modified second batch and the third batch:
    56g - 22g = 34g

    ### Answer: 34g

Expected answer: 34

Correct? Yes

🔗 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:

    Reasoning: Jenny has 9 red colored pencils. The number of green colored pencils is 38 - 9 = 29.
    The total number of times she used all the pencils is the product of the number of green and red pencils, which is 9 * 29 = 261.
    ### 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:

    Reasoning: Jenny used her blue colored pencils an equivalent number of times to the sum of 31 and 16, which is 31 + 16 = 47.
    The total number of times she used all her pencils is the sum of the times she used her blue pencils and the times she used her green and red pencils, which is 47 + 261 = 308.
    ### 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:

    Reasoning: Jenny has 12 red colored pencils. The number of green colored pencils is 38 - 12 = 26.
    The total number of times she used all the pencils is the product of the number of green and red pencils, which is 12 * 26 = 312.
    ### 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:

    Reasoning: A standard robot has 17 transistors, each with 16 connections, so it has a total of 17 x 16 = 272 connections.
    The strangely built robot has one less connection, so it has 272 - 1 = 271 connections.
    However, 41 extra connections were added, so the total number of connections is 271 + 41 = 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:

    Reasoning: A standard robot has 17 transistors, each with 16 connections, so it has a total of 17 x 16 = 272 connections.
    The strangely built robot has one less connection, so it has 272 - 1 = 271 connections.
    The production team added 13 extra connections, so the total number of connections is 271 + 13 = 284.
    ### 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:

    Reasoning: On a busy day, there are 24 kids on each of the 31 attractions, so there are 24 x 31 = 744 kids in total.
    On the rainy day, there were only 6 kids.
    If we subtract the number of kids on the rainy day from the usual busy day, we get 744 - 6 = 738 kids.
    If we further subtract 12 (the number of squirrels), we get 738 - 12 = 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:

    Reasoning: On a busy day, there are 24 kids on each of the 6 attractions, so there are 24 x 6 = 144 kids in total.
    On the rainy day, there were only 6 kids.
    If we subtract the number of kids on the rainy day from the usual busy day, we get 144 - 6 = 138 kids.
    If we further subtract 12 (the number of squirrels), we get 138 - 12 = 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:

    Let's break down the steps of the magical formula:

    1. Subtract 5 from 23: 23 - 5 = 18
    2. Multiply the result by the number of magical chants (6): 18 × 6 = 108
    3. Multiply the result by 7: 108 × 7 = 756
    4. Multiply the result by 1: 756 × 1 = 756
    5. Subtract 48 from the result: 756 - 48 = 708

    ### 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:

    Let's recalculate the magic formula with the adjustment:

    1. Subtract 5 from 8: 8 - 5 = 3
    2. Multiply the result by the number of magical chants (6): 3 × 6 = 18
    3. Multiply the result by 7: 18 × 7 = 126
    4. Multiply the result by 1: 126 × 1 = 126
    5. Subtract 48 from the result: 126 - 48 = 78

    ### 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:

    Reasoning: If the child can make 15 cookies in 1 hour, then the child can make 15 x 24 cookies in 24 hours.
    15 x 24 = 360
    ### 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:

    Reasoning: If the child can make 40 cookies in 1 hour, then the child can make 40 x 24 cookies in 24 hours.
    40 x 24 = 960
    ### 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:

    Let's break this down step by step:

    1. The silversmith started with 16 silver rings.
    2. He created more rings and ended up with 28 silver and 24 gold rings, so he now has a total of 28 + 24 = 52 rings.
    3. He subtracted his original stock of silver rings, so he now has 52 - 16 = 36 rings.
    4. He traded some rings and ended up with 21 rings less than what he had, so he now has 36 - 21 = 15 rings.
    5. For a special order, he created 26 times the number of rings he had left, which is 26 × 15 = 390 rings.
    6. He also made 7 platinum and 47 bronze rings for another order, so he now has a total of 390 + 7 + 47 = 444 rings.

    ### 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:

    Let's recalculate the total number of rings:

    1. The silversmith started with 16 silver rings.
    2. He created more rings and ended up with 18 silver and 24 gold rings, so he now has a total of 18 + 24 = 42 rings.
    3. He subtracted his original stock of silver rings, so he now has 42 - 16 = 26 rings.
    4. He traded some rings and ended up with 21 rings less than what he had, so he now has 26 - 21 = 5 rings.
    5. For a special order, he created 26 times the number of rings he had left, which is 26 × 5 = 130 rings.
    6. He also made 7 platinum and 47 bronze rings for another order, so he now has a total of 130 + 7 + 47 = 184 rings.

    ### 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:

    Reasoning: Since each row contains 40 flowers and only half of them grow properly, the number of flowers that grow properly in each row is 40/2 = 20.
    Since there are 19 rows, the total number of flowers that grow properly in the rows is 20 x 19 = 380.
    The total number of flowers in the small corners is 18 + 48 = 66.
    The difference between the total number of flowers in the rows and the small corners is 380 - 66 = 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:

    Reasoning: The bird laid 11 x 4 = 44 eggs this month, which is 4 times the average.
    With the additional 40 eggs distributed by the forest welcoming committee, the total number of eggs in the forest is 44 + 40 = 84.
    ### 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:

    Reasoning: The forest rangers found 216 eggs and divided them among 18 nests, so each nest got 216 ÷ 18 = 12 eggs.
    These 12 eggs were added to each of the nests, so the total number of eggs in the forest now is 84 + 216 = 300.
    ### 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:

    Let's break this down step by step:

    Initially, we have 41 drops of red paint.

    We add 13 drops of white paint, making the total 41 + 13 = 54 drops.

    Then, we add the same amount of red paint as before, which is 41 drops, making the total 54 + 41 = 95 drops.

    We take a sample of 34 drops from this mixture.

    Now, we have a new mixture with the 34-drop sample. We then take away the same amount of the 34-drop sample that we took originally, which means we subtract 34 drops from the new mixture.

    So, the new mixture has 34 - 34 = 0 drops.

    ### 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:

    Let's break this down step by step:

    1. The factory made 32 toy cars on Monday and 27 on Tuesday, so the difference is 32 - 27 = 5.
    2. They multiply the difference by 49 to determine their weekly goal, so the weekly goal is 5 × 49 = 245.
    3. The staff number in the factory is 12, and every staff member makes 9 toy cars a day. Since we're looking at the total number of toy cars prepared by staff members, we multiply the number of staff members by the number of toy cars each makes: 12 × 9 = 108.
    4. They add 45 to the total number of toy cars prepared by staff members, so we get 108 + 45 = 153.
    5. On Friday, they prepare 31 additional toy cars and add this to the weekly goal and staff prepared cars. So, we add 31 to the weekly goal and staff prepared cars: 245 + 153 + 31 = 429.

    ### Answer: 429

Expected answer: 429

Correct? Yes

🔗 Follow-up

Problem: After their first week, the small toy car factory decided to change their production strategy. The staff now produce only 6 toy cars each day instead of 9. They still add 45 to the total number of toy cars prepared by the staff members. Keeping their weekly goal constant and their Friday production same as last week, how many toy cars in total were made this week?

Gemma 2B:

    Let's break this down step by step:

    1. The weekly goal remains the same, which is 245.
    2. The staff number in the factory is still 12, but now each staff member makes 6 toy cars a day. So, the total number of toy cars prepared by staff members is 12 × 6 = 72.
    3. They add 45 to the total number of toy cars prepared by staff members, so we get 72 + 45 = 117.
    4. On Friday, they still prepare 31 additional toy cars, which is added to the weekly goal and staff prepared cars. So, we add 31 to the weekly goal and staff prepared cars: 245 + 117 + 31 = 393.

    ### Answer: 393

Expected answer: 393

Correct? Yes

🔗 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:

    Reasoning: The farmer harvested 45 carrots, which is 1 carrot more than 44. Since he earns 29 dollars for every carrot over 44, he would earn 29 dollars for the 1 extra carrot.

    ### 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:

    Reasoning: The farmer still harvested 45 carrots, which is 1 carrot more than 44. Since he now earns 41 dollars for every carrot over 44, he would earn 41 dollars for the 1 extra carrot.

    ### 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:

    Reasoning: The worker started with 26 pairs of socks. Then, 50 pairs got torn, leaving 26 - 50 = -24 pairs. But the worker produced 36 more pairs, so the total number of pairs is -24 + 36 = 12 pairs.

    Each pair of socks is sold for $37, so the total amount earned from selling socks is 12 x $37 = $444.

    The worker found a $13 bill on the floor, so the total amount of money the worker has is $444 + $13 = $457.

    ### 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:

    Reasoning: The worker still has 12 pairs of socks. Each pair of socks is sold for $40, so the total amount earned from selling socks is 12 x $40 = $480.

    The worker found a $13 bill on the floor, so the total amount of money the worker has is $480 + $13 = $493.

    ### 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:

    Let's break this down step by step:

    Initially, the jewelry maker had 38 beads. However, she thinks she may have started with 15 more beads than she initially thought, so she adjusts the count to 38 + 15 = 53 beads.

    Next, she removes a number of beads equal to dividing 560 by 40, which is 560 ÷ 40 = 14 beads. So, she removes 14 beads from 53, leaving her with 53 - 14 = 39 beads.

    Then, she adds one more bead, making it 39 + 1 = 40 beads.

    Finally, she adds 39 more beads, making it 40 + 39 = 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:

    Let's continue from where we left off:

    The jewelry maker had 79 beads on her bracelet. She then removed again the same number of beads she removed earlier, which is 560 ÷ 40 = 14 beads. So, she removes 14 beads from 79, leaving her with 79 - 14 = 65 beads.

    Then, she finds a small box with an additional 20 beads in it that she decides to add to the bracelet. So, she adds 20 beads to 65, making it 65 + 20 = 85 beads.

    ### 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:

    Let's work through this scenario:

    Initially, the jewelry maker had 50 beads.

    She removes a number of beads equal to dividing 560 by 40, which is 560 ÷ 40 = 14 beads. So, she removes 14 beads from 50, leaving her with 50 - 14 = 36 beads.

    Then, she realizes she might have actually started with 15 more beads than she originally thought, so she adjusts the count to 36 + 15 = 51 beads.

    Next, she adds one more bead, making it 51 + 1 = 52 beads.

    Finally, she adds 39 more beads, making it 52 + 39 = 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:

    Let's break this down step by step:

    Initially, there are 30 sharks.

    23 sharks are moved to a different area, leaving 30 - 23 = 7 sharks.

    Then, 14 sharks are brought in, making a total of 7 + 14 = 21 sharks.

    After that, 3 more sharks are moved to the other area, leaving 21 - 3 = 18 sharks.

    Finally, the number of sharks is multiplied by 43 for the research study, so the final figure is 18 × 43 = 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:

    Let's recall the correct number of sharks before the multiplication: 18.

    The scientists mistakenly multiplied 18 by 4, so the new figure for the experiment would be:

    18 × 4 = 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:

    Let's break this down step by step:

    In each round, you collect 150 points, which are then divided by 10 to determine the number of gold coins you earn. So, in each round, you earn 150/10 = 15 gold coins.

    After two rounds, you earned a total of 2 x 15 = 30 gold coins.

    In the third round, you had to sacrifice 30 gold coins. This doesn't affect the number of emeralds and sapphires you have.

    You collected 28 emeralds and 14 sapphires in the third round. Since you didn't lose any emeralds or sapphires, you still have 28 emeralds and 14 sapphires left.

    ### Answer: 42 (28 emeralds + 14 sapphires)

Expected answer: 12

Correct? No

🔗 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:

    Let's break this down step by step:

    On a regular day, the train carries 15 containers.

    On Friday, it carries an extra 12 containers, so it carries 15 + 12 = 27 containers.

    On Monday, it carries an additional 26 containers, so it carries 27 + 26 = 53 containers.

    On Wednesday, the load decreases by 32 containers, so it carries 53 - 32 = 21 containers.

    For a particular trip, the train is coupled with 2 more containers, so it carries 21 + 2 = 23 containers.

    After it makes one stop, an additional 48 containers are loaded onto the train, so it carries 23 + 48 = 71 containers.

    ### 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:

    Reasoning: The farmer harvested 39 lemons in the morning and 33 in the afternoon, so he had a total of 39 + 33 = 72 lemons.
    By the end of the day, 12 lemons got spoiled, leaving him with 72 - 12 = 60 lemons.
    The next day, the farmer used 23 lemons to make lemonade, leaving him with 60 - 23 = 37 lemons.
    ### 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:

    Reasoning: The farmer harvested 39 lemons in the morning and 33 in the afternoon, so he had a total of 39 + 33 = 72 lemons.
    By the end of the day, 24 lemons got spoiled, leaving him with 72 - 24 = 48 lemons.
    The next day, the farmer used 23 lemons to make lemonade, leaving him with 48 - 23 = 25 lemons.
    ### 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:

    Reasoning: The bee collects 15 nectar droplets from each of the 33 flowers, so it collects a total of 33 x 15 = 495 nectar droplets.
    The bee starts with 26 nectar droplets and collects 495 more, so it has a total of 26 + 495 = 521 nectar droplets after an hour.
    ### 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:

    Reasoning: The bee collects 15 nectar droplets from each of the 33 flowers, so it collects a total of 33 x 15 = 495 nectar droplets.
    The bee starts with 49 nectar droplets and collects 495 more, so it has a total of 49 + 495 = 544 nectar droplets after an hour.
    ### 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:

    Let's break this down step by step:

    Initially, the company produces 36 marshmallow packs per hour.

    To meet the increased demand, they want to add 350 marshmallows to their daily production, which is distributed evenly over 7 hours. So, they want to add 350/7 = 50 marshmallows per hour. Since each pack contains an unknown number of marshmallows, let's assume it's x marshmallows per pack. Then, they want to add 50/x packs per hour.

    Additionally, they want to add 6 more packs to their hourly production. So, their new target production per hour is 36 + 50/x + 6 = 42 + 50/x packs per hour.

    However, due to limitations, they end up producing 43 less packs per hour than their goal. So, their actual production per hour is (42 + 50/x) - 43 = -1 + 50/x packs per hour.

    We know that the company is producing a positive number of packs per hour, so -1 + 50/x must be positive. Let's assume the company produces y packs per hour. Then, we can set up the equation:

    y = -1 + 50/x

    We are not given the value of x, but we can try to find the value of y. Since the company is producing a whole number of packs per hour, y must be an integer.

    Let's try to find the value of x that makes y an integer. After some trial and error, we find that x = 10 makes y an integer.

    So, y = -1 + 50/10 = -1 + 5 = 4.

    ### Answer: 4

Expected answer: 49

Correct? No

🔗 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:

    Let's break this down step by step!

    1. The first wizard casts a spell that produces 882 glimmering lights over 21 days. To find the daily average, we divide the total number of lights by the number of days:

    882 ÷ 21 = 42

    So, the first wizard produces an average of 42 lights per day.

    2. The second wizard casts a spell that produces 460 glowing orbs in 20 days. To find the daily average, we divide the total number of orbs by the number of days:

    460 ÷ 20 = 23

    So, the second wizard produces an average of 23 orbs per day.

    3. Now, let's find the difference in their daily averages:

    42 (first wizard) - 23 (second wizard) = 19

    4. According to the problem, the difference in their daily averages times the second wizard's daily average is a magical constant represented by 'n'. So, we multiply the difference by the second wizard's daily average:

    19 × 23 = 437

    ### Answer: n = 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:

    Let's break down the components of the limited edition candy:

    1. The Special Mix:
    	* Sugar Rush: 14 base ingredients
    	* Candy Twirl: 25 base ingredients
    	* Jawbreaker: 16 base ingredients
    	Total base ingredients: 14 + 25 + 16 = 55
    	* 43 extra goodies (sprinkles, marshmallows, etc.)
    	Total Special Mix components: 55 + 43 = 98
    2. Add 7 uniquely crafted sweets: 98 + 7 = 105
    3. Add one of each flavor from the 20 different flavored candies (excluding 19): 105 + 1 = 106
    4. Remove 3 experimental sweets: 106 - 3 = 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:

    Let's recalculate the components of the limited edition candy:

    1. The Special Mix:
    	* Sugar Rush: 14 base ingredients
    	* Candy Twirl: 25 base ingredients
    	* Jawbreaker: 23 base ingredients (instead of 16)
    	Total base ingredients: 14 + 25 + 23 = 62
    	* 43 extra goodies (sprinkles, marshmallows, etc.)
    	Total Special Mix components: 62 + 43 = 105
    2. Add 7 uniquely crafted sweets: 105 + 7 = 112
    3. Add one of each flavor from the 20 different flavored candies (excluding 19): 112 + 1 = 113
    4. Remove 3 experimental sweets: 113 - 3 = 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:

    Let's break this down step by step:

    Initially, there were 32 officers in the north district, 33 in the south district, and 29 in the downtown district. This makes a total of:
    32 + 33 + 29 = 94 officers

    After 21 officers from the downtown district were transferred elsewhere, the downtown district had:
    29 - 21 = 8 officers left

    The total number of officers remaining is:
    32 + 33 + 8 = 73 officers

    Then, 39 officers were added to the remaining duty force, making a total of:
    73 + 39 = 112 officers

    Later that day, another 14 officers joined the force, making a total of:
    112 + 14 = 126 officers

    ### 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:

    Let's work through this scenario:

    Initially, there were 32 officers in the north district, 33 in the south district, and 29 in the downtown district. This makes a total of:
    32 + 33 + 29 = 94 officers

    Then, 21 officers from the total force were transferred elsewhere, leaving:
    94 - 21 = 73 officers

    A week later, 22 officers were added to the remaining duty force, making a total of:
    73 + 22 = 95 officers

    That same day, another 14 officers joined the force, making a total of:
    95 + 14 = 109 officers

    ### 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:

    Let's break this problem down step by step:

    1. The initial distance between the Moon and the Earth is 36 million kilometers.
    2. The distance decreases by 19 million kilometers, so the new distance is 36 - 19 = 17 million kilometers.
    3. The distance increases again by 11 million kilometers, so the new distance is 17 + 11 = 28 million kilometers.
    4. Now, we need to find the value of the expression: (distance in millions of kilometers) × 19 - 27.
    5. Plugging in the value of the distance, we get: 28 × 19 - 27.
    6. Evaluating the expression, we get: 532 - 27 = 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:

    We already calculated the distance between the Moon and the Earth to be 28 million kilometers.

    Now, we need to find the value of the expression: (distance in millions of kilometers) × 19 - 45.

    Plugging in the value of the distance, we get: 28 × 19 - 45.

    Evaluating the expression, we get: 532 - 45 = 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:

    Let's break this down step by step:

    The first tiger took 2 steps, each of 9 meters, so it covered a distance of 2 x 9 = 18 meters. Then, it leaped 44 meters, so the total distance covered by the first tiger is 18 + 44 = 62 meters.

    The second tiger covered a distance of 23 meters, then leaped, and then ran 46 meters, so it covered a total distance of 23 + 46 = 69 meters before retracing. Then, it retraced the distance equal to the first tiger's steps and leap, which is 62 meters. So, the second tiger finally covered a distance of 69 - 62 = 7 meters.

    ### 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:

    We already know that the second tiger covered a distance of 7 meters after retracing the distance equal to the first tiger's steps and leap.

    Then, the second tiger runs an additional 30 meters, so it covers a total distance of 7 + 30 = 37 meters.

    Finally, the second tiger makes a 44-meter leap, so it covers a total distance of 37 + 44 = 81 meters.

    ### 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:

    Let's break down the problem step by step:

    On Sunday, the factory produces ((26 * 7) + 8) tubes = 182 + 8 = 190 tubes.

    On Monday, they add 31 tubes to Sunday's total, so they have 190 + 31 = 221 tubes.

    In the packaging department, they have 50 - 19 = 31 empty boxes left.

    The total number of toothpaste tubes ready is the sum of the packaged boxes and Monday's production, which is 31 + 221 = 252 tubes.

    On Tuesday, they produce an additional 48 tubes, so the total number of produced toothpaste tubes until Tuesday is 252 + 48 = 300 tubes.

    ### Answer: 300

Expected answer: 300

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, the toothpaste factory was producing 26 tubes of toothpaste every hour on Sundays. Now, consider a different Sunday where they changed their production to 22 tubes every hour instead, while still working for 7 hours and producing 8 additional tubes. They continue their production on Monday by adding an additional 31 tubes. With the same scenario in the packaging department, where they started with 50 boxes and used 19 of them leaving (50 - 19) boxes. The total number of toothpaste tubes ready for packaging is calculated by adding the packaged box number with Monday's production. If they produced an additional 48 tubes on Tuesday, how many tubes of toothpaste have they produced up till Tuesday now?

Gemma 2B:

    Let's recalculate the total number of toothpaste tubes produced:

    On Sunday, the factory produces 22 tubes/hour for 7 hours, so they produce 22 * 7 = 154 tubes. They also produce 8 additional tubes, making a total of 154 + 8 = 162 tubes.

    On Monday, they add 31 tubes to Sunday's total, so they have 162 + 31 = 193 tubes.

    In the packaging department, they have 50 - 19 = 31 empty boxes left.

    The total number of toothpaste tubes ready is the sum of the packaged boxes and Monday's production, which is 31 + 193 = 224 tubes.

    On Tuesday, they produce an additional 48 tubes, so the total number of produced toothpaste tubes until Tuesday is 224 + 48 = 272 tubes.

    ### Answer: 272

Expected answer: 272

Correct? Yes

🔗 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:

    Let's break this down step by step:

    Initially, the unicorn has 42 rainbow pebbles.

    A day later, it finds 26 more, so it now has:
    42 + 26 = 68 rainbow pebbles.

    The unicorn also has a stash of 44 dreamberries.

    Later on, the unicorn gathers 33 more rainbow pebbles and adds them to its stash of dreamberries, so it now has:
    44 dreamberries + 33 rainbow pebbles = 77 items (dreamberries and rainbow pebbles combined).

    Finally, the unicorn finds 40 magical dandelions and adds them to its stash, making a total of:
    77 + 40 = 117 items.

    But then, it loses 14 items, leaving it with:
    117 - 14 = 103 items.

    ### 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:

    Reasoning: The pirate captain initially had 23 types of jewels, each with 28 jewels, so he had a total of 23 x 28 = 644 jewels.

    He lost 40 jewels, leaving him with 644 - 40 = 604 jewels.

    The next day, he found 16 jewels, so he now has 604 + 16 = 620 jewels.

    ### 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:

    Reasoning: The pirate captain initially had 17 types of jewels, each with 28 jewels, so he had a total of 17 x 28 = 476 jewels.

    He lost 40 jewels, leaving him with 476 - 40 = 436 jewels.

    The next day, he found 16 jewels, so he now has 436 + 16 = 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:

    Reasoning: The star initially has 38 neutrons and gains 4 more, so it now has 38 + 4 = 42 neutrons.
    The energy output is multiplied by 18, so the total energy is 42 × 18 = 756.
    During the explosion, the star releases additional energy equivalent to 6 + 25 = 31.
    The total energy emitted by the star is 756 + 31 = 787.
    ### 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:

    Reasoning: The star initially has 38 neutrons and gains 4 more, so it now has 38 + 4 = 42 neutrons.
    The energy output is multiplied by 10, so the total energy is 42 × 10 = 420.
    During the explosion, the star releases additional energy equivalent to 6 + 25 = 31.
    The total energy emitted by the star is 420 + 31 = 451.
    ### 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:

    Let's break this down step by step:

    1. The gardener planted 13 sunflowers initially.
    2. The next day, he calculated the number of sunflowers to plant as:
    37 × 5 (petals on one sunflower) - 18 = 185 - 18 = 167
    3. Then, he subtracted 10 flowers from that number: 167 - 10 = 157
    4. He added his initial 13 sunflowers back: 157 + 13 = 170
    5. Meanwhile, he calculated the number of spots needed for 92 orchids, with each spot holding 23:
    92 ÷ 23 = 4 (since 92 = 4 × 23)
    6. By the end of the week, he summed up the total number of plants (170) and spots needed (4): 170 + 4 = 174
    7. Finally, he doubled that total for no particular reason: 174 × 2 = 348

    ### Answer: 348

Expected answer: 348

Correct? Yes

🔗 Follow-up

Problem: After all of his calculations and planting, the gardener discovered an error in his original calculations: instead of 37 times the number of petals on one sunflower, which is 5, it should have been 47 times the number of petals on one sunflower, minus 18. He corrected this mistake in his calculations, following the same steps as before, then doubled that total for no particular reason. How many did he end up with by using this new calculation?

Gemma 2B:

    Let's recalculate using the corrected information:

    1. The gardener planted 13 sunflowers initially.
    2. The next day, he calculated the number of sunflowers to plant as:
    47 × 5 (petals on one sunflower) - 18 = 235 - 18 = 217
    3. Then, he subtracted 10 flowers from that number: 217 - 10 = 207
    4. He added his initial 13 sunflowers back: 207 + 13 = 220
    5. Meanwhile, he calculated the number of spots needed for 92 orchids, with each spot holding 23:
    92 ÷ 23 = 4 (since 92 = 4 × 23)
    6. By the end of the week, he summed up the total number of plants (220) and spots needed (4): 220 + 4 = 224
    7. Finally, he doubled that total for no particular reason: 224 × 2 = 448

    ### Answer: 448

Expected answer: 448

Correct? Yes

🔗 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:

    Reasoning: Each frog can catch 21 flies in a day. There are 18 frogs. So, the total number of flies caught by all the frogs in a day is 18 x 21 = 378.
    ### 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:

    Reasoning: On the first day, 18 frogs caught 21 flies each, resulting in a total of j = 18 x 21 = 378 flies.

    On the second day, a particularly voracious toad comes by and catches an additional 39 flies.

    To find the total number of flies caught over the two days, we add the number of flies caught on the first day to the number of flies caught on the second day: 378 + 39 = 417.

    ### 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:

    Reasoning: Each frog can catch 21 flies in a day. Now, there are 46 frogs. So, the total number of flies caught by all the frogs in a day is 46 x 21 = 966.
    ### 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:

    Reasoning: The community center already had 21 chairs in the main meeting room. They added 22 more chairs from the storage room. To find the total number of chairs, we add the number of chairs they already had to the number of chairs they added: 21 + 22 = 43.

    ### 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:

    Reasoning: The community center had 12 chairs in the main meeting room. They added 22 more chairs from the storage room. To find the total number of chairs, we add the number of chairs they already had to the number of chairs they added: 12 + 22 = 34.

    ### 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:

    Reasoning: The park started with 14 elephants.
    11 new baby elephants were born, so the total number of elephants became 14 + 11 = 25.
    The park received 25 more elephants from various rescues, so the total number of elephants became 25 + 25 = 50.
    ### 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:

    Reasoning: There were 50 elephants in the park initially.
    27 elephants were relocated to different parks, so the number of elephants left in the park is 50 - 27 = 23.
    ### 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:

    Reasoning: The park started with 38 elephants.
    11 new baby elephants were born, so the total number of elephants became 38 + 11 = 49.
    The park received 25 more elephants from various rescues, so the total number of elephants became 49 + 25 = 74.
    ### 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:

    Let's break this down step by step:

    1. The treasure chest contains 23 emeralds and 30 diamonds, making a total of 23 + 30 = 53 stones. Since 39 of them are fake, the number of real stones left is 53 - 39 = 14. Let's call this number y.

    2. The value of the chest (g) is calculated as y^2 - 37. Plugging in y = 14, we get g = 14^2 - 37 = 196 - 37 = 159.

    3. In the other chest, there were 540 rubies that were shared equally among 45 pirates. This means each pirate got 540 / 45 = 12 rubies. Since 3 rubies were lost in the division, the remaining number (x) is 12 - 3 = 9.

    4. The new value is calculated by subtracting x from g, which gives us 159 - 9 = 150.

    5. In the same chest, there were 23 pearls and 11 zirconias, making a total of 23 + 11 = 34 pieces. Since 9 pieces were discarded, the count (s) is 34 - 9 = 25.

    6. Finally, the value (m) of the remaining treasure is calculated by subtracting s from the new value, which gives us 150 - 25 = 125.

    ### Answer: 125

Expected answer: 125

Correct? Yes

🔗 Follow-up

Problem: Continuing from the original problem, let's consider a different scenario. Instead of 39 stones being fake in the treasure chest containing 23 emeralds and 30 diamonds, it turns out only 35 were fake. Recalculate the value of the real stones left (y) by multiplying it by itself, and then subtracting 37, to get a new value in the chest (g). As before, subtract the number of remaining rubies (x) after sharing them among 45 pirates and losing 3, from this new value (g), to get a revised value. In the chest with the rubies, still consider there were 23 pearls and 11 zirconias, but 9 pieces had to be discarded due to damage. Subtract this count (s) from the updated value of the chest, to get a newly revised value (m) of the remaining treasure. What is the newly calculated value (m) of all the remaining treasure?

Gemma 2B:

    Let's recalculate the values:

    1. The treasure chest contains 23 emeralds and 30 diamonds, making a total of 23 + 30 = 53 stones. Since only 35 are fake, the number of real stones left is 53 - 35 = 18. Let's call this number y.

    2. The value of the chest (g) is calculated as y^2 - 37. Plugging in y = 18, we get g = 18^2 - 37 = 324 - 37 = 287.

    3. In the other chest, there were 540 rubies that were shared equally among 45 pirates. This means each pirate got 540 / 45 = 12 rubies. Since 3 rubies were lost in the division, the remaining number (x) is 12 - 3 = 9.

    4. The revised value is calculated by subtracting x from g, which gives us 287 - 9 = 278.

    5. In the same chest, there were 23 pearls and 11 zirconias, making a total of 23 + 11 = 34 pieces. Since 9 pieces were discarded, the count (s) is 34 - 9 = 25.

    6. Finally, the newly revised value (m) of the remaining treasure is calculated by subtracting s from the revised value, which gives us 278 - 25 = 253.

    ### Answer: 253

Expected answer: 253

Correct? Yes

🔗 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:

    Let's break this down step by step:

    1. The daily average increase in sightings is obtained by dividing the additional 504 sightings over the next 14 days: 504 ÷ 14 = 36.
    2. Subtract the initial confirmed sightings from this new daily average: 36 - 6 = 30.
    3. Multiply the result by the maximum number of sightings recorded in one day (9) minus the number you would typically dismiss as random (3): 30 × (9 - 3) = 30 × 6 = 180.

    ### 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:

    Let's correct the mistake:

    1. The daily average increase in sightings is still: 504 ÷ 14 = 36.
    2. Subtract the initial confirmed sightings from this new daily average: 36 - 6 = 30.
    3. Multiply the result by the corrected maximum number of sightings recorded in one day (35) minus the number you would typically dismiss as random (3): 30 × (35 - 3) = 30 × 32 = 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:

    Let's break this down step by step:

    1. The blanket maker has 26*25 = 650 square patches of red material.
    2. She wants to subtract the 5 square patches of blue material from the red material, but since the blue material is in square patches, we need to square it first: 5^2 = 25. So, she subtracts 25 from the red material: 650 - 25 = 625.
    3. Now, she wants to compare this number to her stock of green material, which is 48*21 = 1008 square patches.
    4. To find the difference, she subtracts the number of red patches from the green patches: 1008 - 625 = 383.

    ### Answer: 383

Expected answer: 363

Correct? No

🔗 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:

    Reasoning: The villagers picked 38 baskets from the trees near the river, 24 baskets from the ones near an old well, 16 more baskets from the trees near the school, and 13 more baskets from the trees near the mayor's house. So, they picked a total of 38 + 24 + 16 + 13 = 91 baskets.

    They decided to use 35 baskets to make lemonade, so they had 91 - 35 = 56 baskets remaining.

    Each basket of lemons could produce 14 bottles of lemonade, so the remaining baskets could produce 56 x 14 = 784 bottles of lemonade.

    ### 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:

    Reasoning: The villagers picked a total of 91 baskets of lemons.

    They decided to use 23 baskets to make lemonade, so they had 91 - 23 = 68 baskets remaining.

    Each basket of lemons could produce 14 bottles of lemonade, so the remaining baskets could produce 68 x 14 = 952 bottles of lemonade.

    ### 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:

    Let's break this down step by step:

    1. Amy found 21 seashells initially and gave 15 to her sister, so she had 21 - 15 = 6 seashells left.
    2. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day, which is 6 + 13 = 19 seashells.
    3. She also found an additional 49 seashells, so now she has 19 + 49 = 68 seashells.
    4. She gave 23 to her brother and 27 to her cousin, so she gave a total of 23 + 27 = 50 seashells away.
    5. To find out how many seashells Amy has left, we subtract the number of seashells she gave away from the total number of seashells she had: 68 - 50 = 18.

    ### 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:

    Let's recalculate:

    1. Amy found 21 seashells initially and gave 15 to her sister, so she had 21 - 15 = 6 seashells left.
    2. The next day, she found another group of seashells that was 13 more than the amount she had remaining from the previous day, which is 6 + 13 = 19 seashells.
    3. She also found an additional 49 seashells, so now she has 19 + 49 = 68 seashells.
    4. She gave 32 seashells to her brother, leaving her with 68 - 32 = 36 seashells.
    5. Then, she gave 27 seashells to her cousin, leaving her with 36 - 27 = 9 seashells.

    ### 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:

    Let's break down the game step by step:

    Round 1: Princess Anna adds 7 and 10, getting 7 + 10 = 17.

    Round 2: She subtracts the result from Round 1 (17) from 29, getting 29 - 17 = 12. Then, she subtracts 8 more, getting 12 - 8 = 4.

    Round 3: Princess Anna adds the results from Round 1 and Round 2, getting 17 + 4 = 21. Then, she multiplies this sum by the result from Round 2 (4), getting 21 × 4 = 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:

    Let's break down Princess Bella's game step by step:

    Round 1: Bella adds 7 and 10, getting 7 + 10 = 17 (same as Anna's Round 1).

    Round 2: She subtracts the result from Round 1 (17) from 33, getting 33 - 17 = 16. Then, she decreases it by 8, getting 16 - 8 = 8.

    Round 3: Princess Bella adds the results from Round 1 and Round 2, getting 17 + 8 = 25. Then, she multiplies this sum by the result from Round 2 (8), getting 25 × 8 = 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:

    Reasoning: Since Sam had as much money as Ellen originally had after giving her some money, Sam must have given Ellen $48 - $15 = $33. So Ellen now has $15 + $33 = $48. Sam has $15. Then, Sam got $24 from his brother, so Sam now has $15 + $24 = $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:

    Reasoning: The total length of the waterway is 33 + 19 = 52 kilometers.
    The inaccessible portion is 30 kilometers, so the scientists were able to study 52 - 30 = 22 kilometers.
    ### 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:

    Reasoning: The scientists were initially able to study 22 kilometers of the river.
    With the special permit, they were able to study an additional 32 kilometers.
    The total number of kilometers they were able to study is 22 + 32 = 54 kilometers.
    ### 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:

    Reasoning: The total length of the waterway is 33 + 19 = 52 kilometers.
    The inaccessible portion is 26 kilometers, so the scientists were able to study 52 - 26 = 26 kilometers.
    ### 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:

    Let's break this down step by step:

    Photographer 1:

    * Took 34 shots initially
    * Removed 19 out of focus shots, leaving 34 - 19 = 15 shots
    * Added 21 shots from the second event, making a total of 15 + 21 = 36 shots
    * Added 23 more shots from the third event, making a total of 36 + 23 = 59 shots

    Photographer 2:

    * Took 880 shots initially
    * Selected every 40th shot, which means they selected 880 / 40 = 22 shots

    Now, let's combine the collections:

    * Photographer 1 has 59 shots
    * Photographer 2 has 22 shots
    * Total number of shots in their collections combined is 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:

    Let's update the calculation for Photographer 2:

    * Took 880 shots initially
    * Selected every 28th shot, which means they selected 880 / 28 = 31 shots (approximately)

    The collection of Photographer 1 remains the same:

    * 59 shots

    Now, let's combine the collections:

    * Photographer 1 has 59 shots
    * Photographer 2 has 31 shots
    * Total number of shots in their collections combined is 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:

    Reasoning: The pirate had 13 gold coins initially. He found a treasure chest containing 3 times the amount of his previous loot, so he found 13 x 3 = 39 gold coins.
    Now, he has 13 + 39 = 52 gold coins.
    After spending 22 gold coins, he has 52 - 22 = 30 gold coins left.
    Then, he discovered another loot of 47 gold coins, so he now has 30 + 47 = 77 gold coins.
    ### 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:

    Let's break this down step by step:

    1. The hiker traveled an average of 900 miles in 36 days, so his daily average is 900/36 = 25 miles per day.
    2. One day, he increases his daily average to 16 miles more, so his new daily average is 25 + 16 = 41 miles per day.
    3. To find out how many days he saves, we need to find out how many miles he has left to travel. He has traveled 36 days, so he has traveled 36 x 25 = 900 miles. He still has 900 - 900 = 0 miles left to travel (since he's already traveled the entire distance). If he travels at 41 miles per day, he would have saved (900 - 0) / 41 = 0 days.
    4. However, the problem states that this reduces his remaining journey by a certain number of days. Since he's already traveled the entire distance, this doesn't make sense. Let's assume this means he saves some days, but we don't know how many. We'll come back to this later.
    5. He finds a shortcut that saves him an additional 4 days.
    6. A friendly traveler advises him of another path that will save him 40 days.
    7. He also saves 21 days due to good weather.

    Now, let's add up the total number of days he saves:

    Unknown number of days (from increasing daily average) + 4 days (from shortcut) + 40 days (from friendly traveler) + 21 days (from good weather) = Total days saved

    We don't know the unknown number of days, but we can still find the total number of days saved:

    Total days saved = 4 + 40 + 21 = 65 days

    ### Answer: 65

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:

    Reasoning: The company produces 33 pillows every hour. Since it operates 24 hours a day, the total number of pillows produced in a day is 33 x 24 = 792 pillows.

    However, due to machine errors, they incurred a loss of 43 pillows. To find the total number of pillows manufactured after accounting for the losses, we subtract the loss from the total produced: 792 - 43 = 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:

    Reasoning: The company produces 24 pillows every hour. Since it operates 24 hours a day, the total number of pillows produced in a day is 24 x 24 = 576 pillows.

    However, due to machine errors, they incurred a loss of 43 pillows. To find the total number of pillows manufactured after accounting for the losses, we subtract the loss from the total produced: 576 - 43 = 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:

    Reasoning: We are given that one room is equivalent to 36 bricks. So, we can convert the number of bricks in the second wing to rooms by dividing the number of bricks by 36.

    Number of rooms in the second wing = 216 bricks / 36 bricks/room = 216/36 = 6 rooms

    Now, we can add the number of rooms in both wings to get the total number of rooms.

    Total number of rooms = Number of rooms in the first wing + Number of rooms in the second wing
    = 5 rooms + 6 rooms
    = 11 rooms

    ### 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:

    Reasoning: We already know that there are 5 rooms in the first wing, 6 rooms in the second wing (after converting the bricks to rooms), and 9 new rooms in the underground passage.

    To find the total number of rooms, we can simply add these numbers together:

    Total number of rooms = 5 rooms + 6 rooms + 9 rooms
    = 20 rooms

    ### 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:

    Reasoning: We are given that one room is equivalent to 36 bricks. So, we can convert the number of bricks in the second wing to rooms by dividing the number of bricks by 36.

    Number of rooms in the second wing = 216 bricks / 36 bricks/room = 216/36 = 6 rooms

    Now, we can add the number of rooms in both wings to get the total number of rooms.

    Total number of rooms = Number of rooms in the first wing + Number of rooms in the second wing
    = 35 rooms + 6 rooms
    = 41 rooms

    Note that the problem statement excludes the underground passage rooms, but we are not given any information about the underground passage rooms. Therefore, we assume that the total number of rooms we calculated is the total number of 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:

    Let's break this down step by step:

    1. The player scored 15 goals in each of 31 matches, so they scored a total of 15 x 31 = 465 goals.
    2. Due to an error, 43 goals were discounted, leaving the player with 465 - 43 = 422 goals.
    3. Later, 40 goals were awarded back to the player, so they now have 422 + 40 = 462 goals.
    4. Unfortunately, 26 goals were deducted from the player again, leaving them with 462 - 26 = 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:

    Since the multiplier is 1, the player's points in the contest are equal to their total number of goals, which we previously determined to be 436.

    ### 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:

    Reasoning: The aquarium has 9 tanks, each with 49 fish, so the total number of fish initially is 9 x 49 = 441.
    One tank has 5 fish relocated, so it now has 49 - 5 = 44 fish.
    The total number of fish in the aquarium now is 441 - 5 = 436.
    ### 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:

    Reasoning: The aquarium has 9 tanks, each with 47 fish, so the total number of fish initially is 9 x 47 = 423.
    One tank has 5 fish relocated, so it now has 47 - 5 = 42 fish.
    The total number of fish in the aquarium now is 423 - 5 = 418.
    ### 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:

    Reasoning: Jeremy starts with 14 cards. He discards 19 cards, but he only has 14, so he discards all 14 cards, leaving him with 0 cards. Then, he gains 32 more cards from the deck. So, he now has 0 + 32 = 32 cards.
    ### Answer: 32

Expected answer: 27

Correct? No

🔗 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:

    Let's break this down step by step:

    1. The first clock ticks 504 times in 42 minutes, so its rate is 504/42 = 12 ticks per minute.
    2. The second clock ticks 279 times in 31 minutes, so its rate is 279/31 = 9 ticks per minute.
    3. Add 34 to the rate of the second clock: 9 + 34 = 43.
    4. Multiply the first clock's rate by 35: 12 × 35 = 420.
    5. Subtract 41 from the result: 420 - 41 = 379.
    6. Subtract the manipulated rate of the second clock from the manipulated rate of the first clock: 379 - 43 = 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:

    Let's recalculate:

    1. The first clock ticks 504 times in 42 minutes, so its rate is 504/42 = 12 ticks per minute.
    2. The second clock ticks 279 times in 2 minutes, so its rate is 279/2 = 139.5 ticks per minute.
    3. Add 34 to the rate of the second clock: 139.5 + 34 = 173.5.
    4. Multiply the first clock's rate by 35: 12 × 35 = 420.
    5. Subtract 41 from the result: 420 - 41 = 379.
    6. Subtract the manipulated rate of the second clock from the manipulated rate of the first clock: 379 - 173.5 = 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:

    Reasoning: On Tuesday, the rainfall was 39 cm. On Wednesday, it decreased by 6 cm, so the rainfall on Wednesday was 39 - 6 = 33 cm. On Thursday, it further decreased by 31 cm, so the rainfall on Thursday was 33 - 31 = 2 cm.
    ### 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:

    Reasoning: In the first month, the enthusiast reported 50 UFOs, but 36 were actually meteors, so the actual number of UFO sightings was 50 - 36 = 14.

    In the second month, the enthusiast reported seeing 41 UFOs, plus an amount equal to the revised number of UFO sightings from the previous month (which is 14), with an additional 5. So, the total number of UFO sightings reported in the second month is 41 + 14 + 5 = 60.

    ### 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:

    Let's break this down step by step:

    In the first game, the cat got 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. So, she got 5^2 + 8 = 25 + 8 = 33 yarn balls.

    Now, she lost some balls in the 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. So, she has 25 × (45 - 33) = 25 × 12 = 300 yarn balls.

    ### 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:

    Let's recalculate:

    In the first game, the cat got 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. So, she got 5^2 + 8 = 25 + 8 = 33 yarn balls.

    Now, she lost some balls in the third game due to a playful dog. 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. So, she has 6 × (45 - 33) = 6 × 12 = 72 yarn balls.

    ### 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:

    Let's break this down step by step:

    Initially, there are 41 balls in the basket, consisting of tennis balls and cricket balls.

    If we remove 16 cricket balls from the basket, we are left with 41 - 16 = 25 tennis balls.

    Now, 9 ping pong balls and 21 basketballs are added to the basket. So, the total number of balls in the basket is:
    25 (tennis balls) + 16 (cricket balls) + 9 (ping pong balls) + 21 (basketballs) = 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:

    Let's break down the problem step by step:

    Initially, your friend wants to represent 37 hours on the clock face, and they have already completed 32 squares. To find out how many more squares they need, they did the following calculation:

    37 - 32 = 5
    5 + 42 = 47
    47 - 37 = 10

    So, they need 10 more squares to complete the hours.

    Next, they want to add 25 squares for minutes and 28 squares for seconds. They did the following calculation:

    41 + 25 = 66
    66 + 28 = 94
    94 + 17 = 111

    Then, they reduced the total number of squares by 23:

    111 - 23 = 88

    Finally, they added the number of squares needed for hours (10) to this reduced number:

    88 + 10 = 98

    Therefore, your friend needs 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:

    Let's redo the calculation for the hour squares:

    37 - 32 = 5
    5 + 42 = 47
    47 - 13 = 34

    So, they need 34 squares to complete the hours.

    The rest of the calculations remain the same:

    For minutes and seconds:
    41 + 25 = 66
    66 + 28 = 94
    94 + 17 = 111

    Reducing the total number of squares by 23:
    111 - 23 = 88

    Finally, adding the number of squares needed for hours (34) to this reduced number:
    88 + 34 = 122

    Therefore, your friend needs a total of 122 squares to complete their quirky clock project with the new calculation.

    ### 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:

    Reasoning: The farm typically produces 28 pounds of oranges in a single day. With the new method, they produced 2 times that amount, which is 2 x 28 = 56 pounds per day. Since the harvest period lasted for 15 days, the total production during this period is 56 x 15 = 840 pounds. Finally, the farm added 16 pounds of a rare orange variant to this harvest, so the total production is 840 + 16 = 856 pounds.

    ### 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:

    Reasoning: If the farm's typical daily output was 7 pounds, doubling it would make it 2 x 7 = 14 pounds per day. Since the harvest period lasted for 15 days, the total production during this period is 14 x 15 = 210 pounds. Finally, the farm added 16 pounds of a rare orange variant to this harvest, so the total production is 210 + 16 = 226 pounds.

    ### 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:

    Reasoning: The bus initially has 37 passengers. After 20 more passengers get on, there are 37 + 20 = 57 passengers. Then, 44 passengers get off, leaving 57 - 44 = 13 passengers.

    Each of the 13 passengers pays an $11 fare, so the total fare is 13 x $11 = $143.

    The bus company deducts a $14 service fee from the total fare, so the revenue is $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:

    Reasoning: The bus company had $129 revenue after collecting fares and deducting the service fee.

    The company then had to pay a $23 parking fee, so the new revenue is $129 - $23 = $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:

    Reasoning: The bus initially has 28 passengers. After 20 more passengers get on, there are 28 + 20 = 48 passengers. Then, 44 passengers get off, leaving 48 - 44 = 4 passengers.

    Each of the 4 passengers pays an $11 fare, so the total fare is 4 x $11 = $44.

    The bus company deducts a $14 service fee from the total fare. Since the service fee is more than the total fare, the revenue would be $0, as the company cannot deduct more than the total fare.

    ### Answer: $0

Expected answer: 30

Correct? No

🔗 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:

    Reasoning: The pirate initially had 13 + 42 + 19 = 74 gems.
    He gave away 43 gems to his crewmates.
    To find out how many gems the pirate has left, we subtract the number of gems he gave away from the total number of gems he had: 74 - 43 = 31.
    ### 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:

    Reasoning: The reserve initially had 16 ginger giraffes. Then, they brought in the same number of golden giraffes, which is also 16. So, the total number of giraffes now is 16 + 16 = 32. Later, they added 46 greyish giraffes, making the total number of giraffes 32 + 46 = 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:

    Reasoning: There were 78 giraffes in the reserve initially. 2 greyish giraffes left, so we need to subtract 2 from the total number of giraffes. The new total number of giraffes is 78 - 2 = 76.

    ### 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:

    Reasoning: The reserve initially had 42 ginger giraffes. Then, they brought in the same number of golden giraffes, which is also 42. So, the total number of giraffes now is 42 + 42 = 84. Later, they added 46 greyish giraffes, making the total number of giraffes 84 + 46 = 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:

    Let's break this down step by step:

    1. The turtle travels as many leagues as 11 plus 10, which is:
    11 + 10 = 21 leagues

    2. Then, it multiplies that by 16 to get the total distance it swam that week:
    21 × 16 = 336 leagues

    3. However, it realized it had over calculated the distance by 41 leagues, so we need to subtract 41 from the total distance:
    336 - 41 = 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:

    Let's recalculate the daily travel distance:
    11 + 17 = 28 leagues per day

    Since the turtle swam for a week, we multiply the daily distance by 16:
    28 × 16 = 448 leagues

    However, the turtle realized it had over calculated the distance by 41 leagues, so we need to subtract 41 from the total distance:
    448 - 41 = 407 leagues

    ### Answer: 407

Expected answer: 407

Correct? Yes