🔗 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:

    Let's solve this problem step by step:

    1. Find the number of words per line in each verse (before adding the refrain):
       * Each verse has 162 words and 18 lines.
       * Words per line = Total words in a verse ÷ Number of lines
       * Words per line = 162 ÷ 18 = <<162/18=9>>9 words per line

    2. Add the refrain to each line:
       * The songwriter adds 34 words as a refrain to each line.
       * Total words per line = Words per line + Refrain words
       * Total words per line = 9 + 34 = <<9+34=43>>43 words per line

    Therefore, after adding the refrain, each line in the ballad now has 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:

    Let's continue from the previous problem and solve this step by step:

    1. Recall the total number of words per line (before adding the extra refrain):
       * From the previous problem, we found that each line has 43 words after adding the first refrain.

    2. Calculate the total number of words in each verse (before adding the extra refrain):
       * Total words per verse = Words per line × Number of lines
       * Total words per verse = 43 × 18 = <<43*18=774>>774 words

    3. Add the extra refrain to each verse:
       * The songwriter adds an extra refrain with 39 words to the end of each verse.
       * Total words per verse (with extra refrain) = Total words per verse + Extra refrain words
       * Total words per verse (with extra refrain) = 774 + 39 = <<774+39=813>>813 words

    4. Calculate the new number of words per line:
       * New words per line = Total words per verse (with extra refrain) ÷ Number of lines
       * New words per line = 813 ÷ 18 = <<813/18=45.1666667>>45.1666667 (rounded to 45.17) words per line

    Therefore, after adding the extra refrain to the end of each verse, each line in the ballad now has approximately 45.17 words.

    ### Answer: 45.17

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:

    Great! Let's solve this problem using the information from the previous problem.

    Given:
    - Each verse has 162 words and 18 lines.
    - The songwriter now adds 28 words as a refrain to each line (instead of 34).

    Step 1: Calculate the number of words per line in each verse (before adding the refrain):
    Words per line = Total words in a verse ÷ Number of lines
    Words per line = 162 ÷ 18 = <<162/18=9>>9 words per line

    Step 2: Add the new refrain to each line:
    Total words per line = Words per line + New refrain words
    Total words per line = 9 + 28 = <<9+28=37>>37 words per line

    Therefore, if the songwriter had decided to add only 28 words as the refrain to each line, each line of the song would contain 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 down the problem and solve it step by step:

    1. Penguins on the first ice floe: 35

    2. Penguins on the other 26 ice floes: 598 ÷ 26 = <<598/26=23>>23 penguins per floe
       Total penguins on the other ice floes: 23 × 26 = <<23*26=598>>598

    3. Increase in penguin population on the first ice floe: 49
       Updated count on the first ice floe: 35 + 49 = <<35+49=84>>84

    4. Additional penguins taken into account: 33
       Overestimated penguins: 10
       Adjusted additional penguins: 33 - 10 = <<33-10=23>>23

    5. Penguins at the base camp: 20 adults + 14 chicks = <<20+14=34>>34

    Now, let's add up all the penguins:
    - Penguins on the first ice floe (updated): 84
    - Penguins on the other ice floes: 598
    - Adjusted additional penguins: 23
    - Penguins at the base camp: 34

    Total penguins = 84 + 598 + 23 + 34 = <<84+598+23+34=739>>739

    ### Answer: 739

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:

    Let's organize the information we have:
    * Jungle gym 1:
      - Total steps: 27
      - Top 19 steps are blue
      - Remaining steps (27 - 19 = 8) are red
      - Additional 19 steps are also red
    * Jungle gym 2:
      - 34 green steps

    Now, let's calculate the total number of colored steps:

    1. Blue steps on jungle gym 1: 19

    2. Red steps on jungle gym 1:
       - Remaining steps that are red: 27 - 19 = 8
       - Additional red steps: 19
       - Total red steps: 8 + 19 = 27

    3. Green steps on jungle gym 2: 34

    4. Total colored steps:
       - Blue steps on jungle gym 1: 19
       - Red steps on jungle gym 1: 27
       - Green steps on jungle gym 2: 34
       - Total = 19 + 27 + 34 = 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 and solve it step by step:

    1. Find the average rainfall of a typical cloud per hour:
       * Total rainfall = 775 millimeters
       * Total time = 31 hours
       * Average rainfall per hour = 775 ÷ 31 = 25 millimeters per hour

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

    3. Multiply the result by 23:
       * 3 × 23 = 69 millimeters

    4. Add the result to a constant cloud factor of 42:
       * 69 + 42 = 111 millimeters

    5. Add this new result to the hourly rainfall of the initial cloud:
       * Initial cloud's hourly rainfall = 47 millimeters per hour
       * 111 + 47 = 158 millimeters

    6. Subtract 2 from the result:
       * 158 - 2 = 156 millimeters

    Therefore, the resultant millimeters of rainfall is 156 millimeters.

    ### Answer: 156 millimeters

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 solve this problem using the same steps as before, but with the new condition of the initial cloud releasing 15 millimeters per hour:

    1. Find the average rainfall of a typical cloud per hour (same as before):
       * Total rainfall = 775 millimeters
       * Total time = 31 hours
       * Average rainfall per hour = 775 ÷ 31 = 25 millimeters per hour

    2. Subtract 22 from the average rainfall of the typical cloud per hour (same as before):
       * 25 - 22 = 3 millimeters per hour

    3. Multiply the result by 23 (same as before):
       * 3 × 23 = 69 millimeters

    4. Add the result to a constant cloud factor of 42 (same as before):
       * 69 + 42 = 111 millimeters

    5. Add this new result to the hourly rainfall of the initial cloud (different from before):
       * Initial cloud's hourly rainfall = 15 millimeters per hour
       * 111 + 15 = 126 millimeters

    6. Subtract 2 from the result:
       * 126 - 2 = 124 millimeters

    Therefore, in this scenario, the resultant millimeters of rainfall would be 124 millimeters.

    ### Answer: 124 millimeters

Expected answer: 124

Correct? Yes

🔗 Problem

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

Gemma 2B:

    To solve this problem, let's organize the given information:
    * Nadia practiced piano for 45 minutes in the morning.
    * She practiced for 35 minutes in the afternoon.
    * She practiced for another 35 minutes in the evening.

    Now, let's calculate the total time Nadia practiced piano that day:
    * Total time = Morning practice + Afternoon practice + Evening practice
    * Total time = 45 minutes + 35 minutes + 35 minutes
    * Total time = <<45+35+35=115>>115 minutes

    To convert minutes to hours and minutes:
    * 115 minutes = <<115/60=1.916666667>>1 hour and <<115%60=55>>55 minutes (since 1 hour = 60 minutes)

    Therefore, Nadia practiced piano for a total of 1 hour and 55 minutes that day.

    ### Answer: 1 hour and 55 minutes

Expected answer: 115

Correct? No

🔗 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:

    Let's break this down step by step:

    1) The original price of a dress is $44.

    2) During the flash sale, the price is reduced by a factor of 465 divided by 31.

       To calculate this factor, we divide 465 by 31:

       465 ÷ 31 = 15

    3) This means that during the flash sale, the price is reduced to 1/15 of the original price.

    4) To find 1/15 of the original price, we divide the original price by 15:

       $44 ÷ 15 = $2.93 (rounded to the nearest cent)

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

    ### Answer: $2.93

Expected answer: 660

Correct? No

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Monday's rope production:
       * The rope maker made 46 meters of rope on Monday.

    2. Tuesday's rope production:
       * On Tuesday, he made the same amount as Monday (46 meters), plus an additional 19 meters.
       * Tuesday's rope production = 46 + 19 = 65 meters

    3. Total rope production after Tuesday:
       * Total rope = Monday's rope + Tuesday's rope
       * Total rope = 46 + 65 = 111 meters

    4. Damaged rope on Wednesday:
       * By Wednesday, 9 meters of the total rope had been damaged and was unusable.
       * Usable rope = Total rope - Damaged rope
       * Usable rope = 111 - 9 = 102 meters

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

    ### Answer: 102 meters

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:

    Let's organize the information and solve the problem step by step:

    * Juliana bought 16 pairs of vintage earrings.
    * Each pair of earrings costs $2.
    * She also bought a special jewelry box for $25.
    * She paid $48 for the gift wrapping service.

    Now, let's calculate the total cost:

    1. Cost of earrings:
       * Number of pairs = 16
       * Cost per pair = $2
       * Total cost of earrings = 16 × $2 = $32

    2. Cost of the jewelry box:
       * Cost of the jewelry box = $25

    3. Cost of gift wrapping service:
       * Cost of gift wrapping = $48

    4. Total cost of the gift:
       * Total cost = Cost of earrings + Cost of jewelry box + Cost of gift wrapping
       * Total cost = $32 + $25 + $48 = $105

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

    ### Answer: $105

Expected answer: 105

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. First, let's find out how many beads each friend gets when Emma divides the beads equally among them.
       * Emma has 60 beads in total.
       * She divides the beads equally among 3 friends.
       * Number of beads each friend gets = 60 ÷ 3 = 20 beads

    2. After dividing the beads, Emma adds 4 more beads to each friend's pile.
       * Each friend already has 20 beads.
       * Emma adds 4 more beads to each friend's pile.
       * Number of beads each friend has now = 20 + 4 = 24 beads

    Therefore, after Emma divides the beads equally and adds 4 more beads to each friend's pile, each friend now has 24 beads.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Okay, let's solve this problem step by step with the updated information:

    1. Emma has 60 beads in total, and she wants to divide them evenly among 28 friends.
       * Number of beads each friend gets = 60 ÷ 28
       * 60 ÷ 28 = 2 remainder 4
       * This means each friend will get 2 beads, and there will be 4 beads left over.

    2. After the initial division, Emma adds 4 more beads to each friend's stack.
       * Each friend already has 2 beads.
       * Emma adds 4 more beads to each friend's stack.
       * Number of beads each friend has now = 2 + 4 = 6 beads

    3. The 4 beads left over from the initial division are not used.

    Therefore, after Emma divides the 60 beads evenly among 28 friends and adds 4 more beads to each friend's stack, each friend now has 6 beads.

    ### Answer: 6

Expected answer: 43/7

Correct? No

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. The boy started with 37 straws.
    2. He removed 4 straws: 37 - 4 = 33 straws left.
    3. He then removed another 23 straws: 33 - 23 = 10 straws left.
    4. He multiplied the remaining straws by 45: 10 × 45 = 450.
    5. He subtracted 49 from the total: 450 - 49 = 401.
    6. Finally, he took out 7 more straws: 401 - 7 = 394.

    Therefore, the boy had 394 straws left at the end.

    ### Answer: 394

Expected answer: 394

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Let's solve this problem step by step, taking into account the correction in the calculation:

    1. The boy started with 37 straws.
    2. He removed 4 straws: 37 - 4 = 33 straws left.
    3. He then removed another 23 straws: 33 - 23 = 10 straws left.
    4. He multiplied the remaining straws by 45: 10 × 45 = 450.
    5. He should have subtracted 25 from the total (correcting the mistake): 450 - 25 = 425.
    6. Finally, he took out 7 more straws: 425 - 7 = 418.

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

    ### Answer: 418

Expected answer: 418

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's organize the information and solve the problem step by step:
    * There were 2 trips at the zoo.
    * Each trip could see 2 animals.
    * Each animal had 3 baby animals with them.
    * The number of animals seen per trip is multiplied by 3 due to the baby animals.
    * Each baby animal could be photographed 21 times.
    * 34 photos were spoiled and unusable.
    * Guests were given the opportunity to take an additional 30 photos later.

    Now, let's calculate:
    1. Number of animals seen per trip = 2 × 3 = 6
    2. Total number of animals seen in both trips = 6 × 2 = 12
    3. Total number of photos that could be taken = 12 × 21 = 252
    4. Number of usable photos = 252 - 34 = 218
    5. Final number of usable photos after additional photos = 218 + 30 = 248

    Therefore, initially, 252 photos could be taken in total. After removing the spoiled photos and adding the additional photos, there would be 248 usable photos in total.

    ### Answer: 248

Expected answer: 248

Correct? Yes

🔗 Follow-up

Problem: In the previous case at the zoo, imagine if each baby animal could only be photographed 16 times, instead of 21. Given the same spoiling rate of 34 photos and the additional opportunity to take 30 more photos later, how many usable photos would be available now?

Gemma 2B:

    Let's solve this problem using the same steps as before, but with the updated information:
    * There were 2 trips at the zoo.
    * Each trip could see 2 animals.
    * Each animal had 3 baby animals with them.
    * The number of animals seen per trip is multiplied by 3 due to the baby animals.
    * Each baby animal could be photographed 16 times (instead of 21).
    * 34 photos were spoiled and unusable.
    * Guests were given the opportunity to take an additional 30 photos later.

    Now, let's calculate:
    1. Number of animals seen per trip = 2 × 3 = 6
    2. Total number of animals seen in both trips = 6 × 2 = 12
    3. Total number of photos that could be taken = 12 × 16 = 192
    4. Number of usable photos = 192 - 34 = 158
    5. Final number of usable photos after additional photos = 158 + 30 = 188

    Therefore, with each baby animal being photographed 16 times, and considering the spoiled photos and additional photos, there would be 188 usable photos available.

    ### Answer: 188

Expected answer: 188

Correct? Yes

🔗 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:

    Let's solve this problem step by step:

    1. In the first round, the learners formed a word with 47 letters.

    2. Due to a mistake, they removed 30 letters from the word.
       * Remaining letters after removal = 47 - 30 = 17 letters

    3. They then added 10 more letters to the word.
       * Updated word length = 17 + 10 = 27 letters

    4. In the next round, they removed 3 letters from the updated word.
       * Final word length = 27 - 3 = 24 letters

    Therefore, after the last deletion, the word contained 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:

    Great! Let's continue from where we left off in the previous problem.

    Given:
    - After the last deletion, the word contained 24 letters.
    - The learners decided to add 39 more letters to the word.

    To find the number of letters in the word after the final addition, we simply need to add the number of letters in the word after the last deletion and the number of letters added.

    Final word length = Number of letters after the last deletion + Number of letters added
    Final word length = 24 + 39 = 63 letters

    Therefore, after adding 39 more letters, the word contained 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:

    In this new scenario, let's solve the problem step by step:

    1. In the first round, the learners formed a word with 47 letters.

    2. Due to a mistake, they removed 30 letters from the word.
       * Remaining letters after removal = 47 - 30 = 17 letters

    3. Instead of adding 10 letters, they added -6 letters (which means they removed 6 letters).
       * Updated word length = 17 + (-6) = 17 - 6 = 11 letters

    Therefore, after adding -6 letters (i.e., removing 6 letters), the word would contain 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:

    Let's approach this step by step:

    1) Tommy's initial speed is 74/37 miles per hour. Let's simplify this fraction:
       74/37 = 2 miles per hour

    2) After slowing down by 3 mph, Tommy's speed would be:
       2 - 3 = -1 mile per hour
       However, a negative speed doesn't make sense in this context. It likely means that Tommy stopped for a while.

    3) Then, Tommy speeds up again to his initial speed of 2 miles per hour.

    4) To calculate the average speed, we typically use the formula:
       Average Speed = (Total Distance) / (Total Time)

       However, we don't have information about the distance traveled or the time spent at each speed.

    5) Without knowing the distance traveled at each speed or the time spent at each speed, it's not possible to calculate the average speed.

    ### Answer: There is not enough information provided to calculate Tommy's average speed.

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:

    To solve this problem, let's organize the given information:
    * Liam has 40 sets of building blocks.
    * Each set contains 16 blocks.

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

    Total building blocks = Number of sets × Blocks per set
    Total building blocks = 40 × 16 = <<40*16=640>>640

    Therefore, Liam has a total of 640 building blocks.

    ### Answer: 640

Expected answer: 640

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Great! Let's solve this problem step by step. We know from the previous question that Liam had 640 building blocks in total.

    Given:
    * Liam had 640 building blocks.
    * He gives away 25 building blocks to his friend.

    To find out how many building blocks Liam has left, we need to subtract the number of blocks he gave away from his total number of blocks.

    Building blocks left = Total building blocks - Building blocks given away
    Building blocks left = 640 - 25 = <<640-25=615>>615

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

    ### Answer: 615

Expected answer: 615

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Great question! Let's solve this problem with the updated information.

    Given:
    * Liam has 38 sets of building blocks (instead of 40).
    * Each set contains 16 blocks.

    To find the total number of building blocks Liam has with 38 sets, we multiply the updated number of sets by the number of blocks in each set.

    Total building blocks = Number of sets × Blocks per set
    Total building blocks = 38 × 16 = <<38*16=608>>608

    With 38 sets of building blocks, Liam would have a total of 608 building blocks.

    ### Answer: 608

Expected answer: 608

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this step by step:

    1. Understand the given information:
       * John initially had 24 pencils.
       * He bought more pencils.
       * After buying, the number of pencils he has now is equal to the initial number of pencils plus 7.

    2. Let's represent the number of pencils John has now as x.
       * x = initial number of pencils + 7
       * x = 24 + 7

    3. Solve the equation:
       * x = 24 + 7
       * x = 31

    So, John has 31 pencils now.

    ### 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:

    Great! Let's solve this problem step by step.

    Given:
    - John had 31 pencils after buying some more.
    - He received a gift box with an additional 26 pencils.

    Step 1: Add the number of pencils John had before receiving the gift box to the number of pencils in the gift box.
    Total pencils = Pencils before the gift + Pencils in the gift box
    Total pencils = 31 + 26 = 57

    Therefore, John now has 57 pencils.

    ### 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 solve this problem step by step, using the new information:

    1. Understand the given information:
       * John initially had 2 pencils.
       * He bought more pencils.
       * After buying, the number of pencils he has now is equal to the initial number of pencils plus 7.

    2. Let's represent the number of pencils John has now as x.
       * x = initial number of pencils + 7
       * x = 2 + 7

    3. Solve the equation:
       * x = 2 + 7
       * x = 9

    Therefore, John has 9 pencils now.

    ### 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:

    Let's organize the given information:
    * City A's snowfall lasts for 50 days and is currently 36 days in.
    * In City B, it snows 98 inches every 14 days.
    * The total snowfall in City A is expected to be the product of the remaining snowfall days in City A and the average daily snowfall in City B.
    * The snow removal in City A has removed an amount of snow equal to the average daily snowfall in City B.

    Now, let's solve the problem step by step:

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

    2. Calculate the average daily snowfall in City B:
       * Average daily snowfall = Total snowfall in 14 days ÷ 14
       * Average daily snowfall = 98 ÷ 14 = <<98/14=7>>7 inches/day

    3. Calculate the expected total snowfall in City A:
       * Expected total snowfall = Remaining days × Average daily snowfall in City B
       * Expected total snowfall = 14 × 7 = <<14*7=98>>98 inches

    4. Calculate the amount of snow left after removal:
       * Snow left = Expected total snowfall - Average daily snowfall in City B
       * Snow left = 98 - 7 = <<98-7=91>>91 inches

    ### Answer: 91 inches

Expected answer: 91

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's organize the information we have:
    * On the first day, the pirate finds 28 rubies.
    * On the second day, he finds the same number of rubies as the first day, plus an additional 21 rubies.

    Now, let's solve the problem step by step:
    1. Rubies found on the first day = 28
    2. Rubies found on the second day = Rubies found on the first day + 21
       * Rubies found on the second day = 28 + 21 = 49

    3. Total rubies found after the second day = Rubies found on the first day + Rubies found on the second day
       * Total rubies = 28 + 49 = 77

    Therefore, the pirate has a total of 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:

    Let's continue from the previous problem and add the new information:
    * The pirate had 77 rubies after the second day.
    * On the third day, he finds 29 more rubies.
    * While escaping rival pirates, he loses 36 rubies.

    Now, let's solve the problem step by step:
    1. Rubies the pirate had after the second day = 77
    2. Rubies found on the third day = 29
    3. Rubies lost while escaping = 36

    4. Total rubies after finding the third treasure chest = Rubies after the second day + Rubies found on the third day
       * Total rubies = 77 + 29 = 106

    5. Remaining rubies after losing some while escaping = Total rubies - Rubies lost
       * Remaining rubies = 106 - 36 = 70

    Therefore, the pirate now has a total of 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:

    I apologize for the confusion. Let's solve the problem again with the updated information.

    Given:
    * On the first day, the pirate finds 6 rubies.
    * On the second day, he finds the same number of rubies as the first day, plus an additional 21 rubies.

    Now, let's solve the problem step by step:
    1. Rubies found on the first day = 6
    2. Rubies found on the second day = Rubies found on the first day + 21
       * Rubies found on the second day = 6 + 21 = 27

    3. Total rubies found after the second day = Rubies found on the first day + Rubies found on the second day
       * Total rubies = 6 + 27 = 33

    Therefore, taking into account the correct number of rubies found on the first day, the pirate has a total of 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 organize the information and solve the problem step by step:

    1. January snowfall: 47 inches
    2. Early February snowfall: 7 inches
    3. February 15th snowfall: 17 inches
    4. March snowfall: 48 inches
    5. Early April snowfall: 31 inches
    6. Snow melted by the end of April: 27 inches

    To find the total amount of snow at the end of April, we need to:
    1. Add up all the snowfall amounts
    2. Subtract the amount of snow that melted

    Total snowfall = January + Early February + February 15th + March + Early April
    Total snowfall = 47 + 7 + 17 + 48 + 31 = <<47+7+17+48+31=150>>150 inches

    Total snow at the end of April = Total snowfall - Snow melted
    Total snow at the end of April = 150 - 27 = <<150-27=123>>123 inches

    ### Answer: 123 inches

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 organize the updated information and solve the problem step by step:

    1. January snowfall: 47 inches
    2. Early February snowfall: 7 inches
    3. February 15th snowfall: 17 inches
    4. March snowfall: 48 inches
    5. Early April snowfall: 44 inches (updated)
    6. Snow melted by the end of April: 27 inches

    To find the total amount of snow at the end of April with the updated April snowfall, we need to:
    1. Add up all the snowfall amounts
    2. Subtract the amount of snow that melted

    Total snowfall = January + Early February + February 15th + March + Early April
    Total snowfall = 47 + 7 + 17 + 48 + 44 = <<47+7+17+48+44=163>>163 inches

    Total snow at the end of April = Total snowfall - Snow melted
    Total snow at the end of April = 163 - 27 = <<163-27=136>>136 inches

    ### Answer: 136 inches

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:

    Let's organize the information we have:
    * The vendor sold 46 balloons every hour for 11 hours.
    * After the fair closed, he sold an additional 31 balloons.

    Now, let's solve the problem step by step:

    1. Calculate the number of balloons sold during the 11 hours:
       - Number of balloons sold per hour = 46
       - Number of hours = 11
       - Balloons sold during the 11 hours = 46 × 11 = 506

    2. Add the additional balloons sold after the fair closed:
       - Additional balloons sold = 31
       - Total balloons sold = Balloons sold during the 11 hours + Additional balloons sold
       - Total balloons sold = 506 + 31 = 537

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

    ### Answer: 537

Expected answer: 537

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Find the total score of Mary and John in the first game:
       * Mary's score = 31 points
       * John's score = 39 points
       * Total score in the first game = 31 + 39 = 70 points

    2. Find the total score of Mary and John in the second game:
       * The combined score increased by 35 points in the second game
       * Total score in the second game = 70 + 35 = 105 points

    3. Calculate the multiplier for the special round:
       * The multiplier is the difference between 27 and the number of cards left in the deck
       * Number of cards left in the deck = 23
       * Multiplier = 27 - 23 = 4

    4. Calculate the final score in the special round:
       * Final score = Total score in the second game × Multiplier
       * Final score = 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:

    Great! Let's continue from where we left off and add the extra points to their final score.

    Given:
    - Mary and John's final score in the special round was 420 points.
    - They discovered two extra points that they hadn't accounted for earlier.

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

    Final combined score = Final score in the special round + Extra points
    Final combined 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:

    Great! Let's solve this problem using the same steps as before, but with the new information.

    Given:
    - In the first game, Mary scored 31 points and John scored 39 points.
    - In the second game, their combined score increased by 50 points (instead of 35).
    - In the special round, they multiplied their score by the difference between 27 and the number of cards left in the deck (which was 23).

    Step 1: Calculate the total score of Mary and John in the first game.
    Total score in the first game = Mary's score + John's score
    Total score in the first game = 31 + 39 = 70 points

    Step 2: Calculate the total score of Mary and John in the second game.
    Total score in the second game = Total score in the first game + Increase in combined score
    Total score in the second game = 70 + 50 = 120 points

    Step 3: Calculate the multiplier for the special round.
    Multiplier = 27 - Number of cards left in the deck
    Multiplier = 27 - 23 = 4

    Step 4: Calculate the final score in the special round.
    Final score = Total score in the second game × Multiplier
    Final score = 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:

    Let's organize the information and solve the problem step by step:

    1. Morning production:
       * Upholstered seats: 17
       * Wooden seats: 18
       * Total morning production: 17 + 18 = 35 chairs

    2. Afternoon production:
       * Total afternoon production: 29 chairs

    3. Evening production:
       * The company repeated the morning and afternoon production in the evening.
       * Total evening production: 35 + 29 = 64 chairs

    4. Total production:
       * Total production = Morning + Afternoon + Evening
       * Total production = 35 + 29 + 64 = 128 chairs

    5. Chairs given away and used for testing:
       * Chairs given to charity: 48
       * Chairs used for quality testing: 7
       * Total chairs removed: 48 + 7 = 55 chairs

    6. Remaining chairs:
       * Remaining chairs = Total production - Total chairs removed
       * Remaining chairs = 128 - 55 = 73 chairs

    ### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Let's organize the updated information and solve the problem step by step:

    1. Morning production:
       * Upholstered seats: 17
       * Wooden seats: 15 (updated)
       * Total morning production: 17 + 15 = 32 chairs

    2. Afternoon production:
       * Total afternoon production: 29 chairs

    3. Evening production:
       * The company repeated the morning and afternoon production in the evening.
       * Total evening production: 32 + 29 = 61 chairs

    4. Total production:
       * Total production = Morning + Afternoon + Evening
       * Total production = 32 + 29 + 61 = 122 chairs

    5. Chairs given away and used for testing:
       * Chairs given to charity: 48
       * Chairs used for quality testing: 7
       * Total chairs removed: 48 + 7 = 55 chairs

    6. Remaining chairs:
       * Remaining chairs = Total production - Total chairs removed
       * Remaining chairs = 122 - 55 = 67 chairs

    ### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's organize the information we have:
    * Popular jungle gym:
      - 46 monkey bars
      - 18 swinging ropes
    * New jungle gym:
      - 2 extra long zip lines
      - 20 regular zip lines
      - Each zip line requires 31 special hooks

    Now, let's solve the problem step by step:

    1. Find the total number of play components on the popular jungle gym:
       * Total components = Monkey bars + Swinging ropes
       * Total components = 46 + 18 = 64

    2. Find the total number of hooks used in the new jungle gym:
       * Total zip lines = Extra long zip lines + Regular zip lines
       * Total zip lines = 2 + 20 = 22
       * Hooks used = Total zip lines × Hooks per zip line
       * Hooks used = 22 × 31 = 682

    3. Compare the number of hooks used in the new jungle gym to the number of play components on the popular jungle gym:
       * Difference = Hooks used in new jungle gym - Play components on popular jungle gym
       * Difference = 682 - 64 = 618

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

    ### Answer: 618

Expected answer: 618

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. John divides his saved money evenly between 21 days:
       * Amount saved = $168
       * Number of days = 21
       * Money per day = $168 ÷ 21 = $8

    2. John gets an additional $47 from his job:
       * Total money after getting $47 = $168 + $47 = $215

    3. John receives another amount of money which is the sum of $12 and $45:
       * Additional money received = $12 + $45 = $57
       * Total money after receiving the additional money = $215 + $57 = $272

    Therefore, John now has a total of $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:

    Let's solve this problem step by step:

    1. Find the number of boxes the robot can stack in 4 minutes:
       * The robot can stack 32 boxes in 1 minute.
       * In 4 minutes, the robot can stack: 32 × 4 = 128 boxes

    2. Add the extra box picked up by the robot:
       * After stacking boxes for 4 minutes, the robot picks up 1 extra box.
       * Total boxes stacked = Boxes stacked in 4 minutes + Extra box
       * Total boxes stacked = 128 + 1 = 129 boxes

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

    ### Answer: 129

Expected answer: 129

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Let's continue from the previous problem and solve this new situation step by step:

    1. Recall the number of boxes stacked after 4 minutes:
       * In 4 minutes, the robot stacked 128 boxes.

    2. Subtract the number of boxes knocked over by the robot:
       * The robot accidentally knocks over 21 boxes.
       * Remaining stacked boxes = Boxes stacked in 4 minutes - Knocked over boxes
       * Remaining stacked boxes = 128 - 21 = 107 boxes

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

    ### Answer: 107

Expected answer: 108

Correct? No

🔗 Follow-up

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

Gemma 2B:

    Great! Let's solve this new scenario using the same approach as before.

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

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

    Step 2: Add the extra boxes picked up by the robot after 4 minutes.
    Total boxes stacked = Boxes stacked in 4 minutes + Extra boxes picked up
    Total boxes stacked = 128 boxes + 11 boxes = 139 boxes

    Therefore, in this new scenario, the robot would have stacked a total of 139 boxes.

    ### Answer: 139

Expected answer: 139

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's organize the information and solve the problem step by step:

    * The female tiger gave birth to a total of 26 cubs in her lifetime.
    * Out of the 26 cubs, 17 did not survive the harsh conditions of the wild.
    * To find the number of surviving cubs:
      - Surviving cubs = Total cubs - Cubs that did not survive
      - Surviving cubs = 26 - 17 = 9 cubs

    * Out of the 9 surviving cubs, 6 moved to other territories.
    * To find the number of tigers that remained in the female tiger's territory:
      - Remaining tigers = Surviving cubs - Cubs that moved to other territories
      - Remaining tigers = 9 - 6 = 3 tigers

    ### 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:

    Let's organize the updated information and solve the problem step by step:

    * The female tiger gave birth to a total of 24 cubs in her lifetime (instead of 26).
    * Out of the 24 cubs, 17 did not survive the harsh conditions of the wild (same as before).
    * To find the number of surviving cubs:
      - Surviving cubs = Total cubs - Cubs that did not survive
      - Surviving cubs = 24 - 17 = 7 cubs

    * Out of the 7 surviving cubs, 6 moved to other territories (same as before).
    * To find the number of tigers that remained in the female tiger's territory:
      - Remaining tigers = Surviving cubs - Cubs that moved to other territories
      - Remaining tigers = 7 - 6 = 1 tiger

    ### 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:

    Let's solve this problem step by step:

    1. The colony originally started with 44 penguins.

    2. 39 new penguins joined the colony.
       * Number of penguins after the new group joined = 44 + 39 = 83

    3. 16 penguins left the colony to start a new one.
       * Number of penguins after the group left = 83 - 16 = 67

    4. Another group of 35 penguins joined the colony.
       * Number of penguins after the last group joined = 67 + 35 = 102

    Therefore, the colony now has 102 penguins.

    ### 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:

    Let's solve this problem step by step, using the updated information:

    1. The colony originally started with 44 penguins.

    2. 39 new penguins joined the colony.
       * Number of penguins after the new group joined = 44 + 39 = 83

    3. 16 penguins left the colony to start a new one.
       * Number of penguins after the group left = 83 - 16 = 67

    4. Another group of 12 penguins joined the colony (instead of 35).
       * Number of penguins after the last group joined = 67 + 12 = 79

    Therefore, the colony now has 79 penguins.

    ### 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:

    Let's solve this problem step by step:

    1. Understand the given information:
       * The helicopter initially travels 10 miles in one minute.
       * The helicopter increases its speed by 40 miles, and then by another 20 miles.
       * We need to find the distance the helicopter will travel in 12 minutes at the increased speed.

    2. Calculate the increased speed of the helicopter:
       * Initial speed = 10 miles per minute
       * Speed increase = 40 miles per minute + 20 miles per minute
       * Total speed increase = 40 + 20 = 60 miles per minute
       * New speed = Initial speed + Total speed increase
       * New speed = 10 + 60 = 70 miles per minute

    3. Calculate the distance the helicopter will travel in 12 minutes at the new speed:
       * Distance = Speed × Time
       * Distance = 70 miles per minute × 12 minutes
       * Distance = 840 miles

    ### Answer: 840 miles

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:

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

    1. Understand the given information:
       * The helicopter initially travels 10 miles in one minute.
       * The helicopter's speed increase is now 2 miles instead of 40 miles.
       * The additional bonus speed of 20 miles remains the same.
       * We need to find the distance the helicopter will travel in 12 minutes at the revised speed.

    2. Calculate the revised speed of the helicopter:
       * Initial speed = 10 miles per minute
       * Speed increase = 2 miles per minute
       * Bonus speed = 20 miles per minute
       * New speed = Initial speed + Speed increase + Bonus speed
       * New speed = 10 + 2 + 20 = 32 miles per minute

    3. Calculate the distance the helicopter will travel in 12 minutes at the new speed:
       * Distance = Speed × Time
       * Distance = 32 miles per minute × 12 minutes
       * Distance = 384 miles

    ### Answer: 384 miles

Expected answer: 384

Correct? Yes

🔗 Problem

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

Gemma 2B:

    To solve this problem, let's organize the given information:
    - The existing telescope has a magnification power of 26.
    - The new telescope needs to have a magnification strength of 41.

    To find out how much more magnification is required for the new telescope, we need to subtract the magnification power of the existing telescope from the required magnification strength of the new telescope.

    Magnification difference = New telescope magnification - Existing telescope magnification
    Magnification difference = 41 - 26 = 15

    Therefore, the new telescope requires 15 more units of magnification compared to the existing one.

    ### 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:

    Let's update the problem with the new information:
    - The existing telescope has a magnification power of 16 (not 26 as previously thought).
    - The desired magnification strength for the new telescope remains at 41.

    To calculate the additional magnification required, we'll subtract the existing telescope's magnification power from the desired magnification strength.

    Magnification difference = Desired magnification strength - Existing telescope magnification
    Magnification difference = 41 - 16 = 25

    So, with the updated information, the new telescope needs 25 more units of magnification compared to the existing telescope to reach the desired magnification strength of 41.

    ### 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:

    Let's solve this problem step by step:

    1. Calculate Sophie's earnings from Monday:
       * Sophie worked 2 hours on Monday
       * She earns $18 per hour
       * Monday's earnings = 2 hours × $18 per hour = $36

    2. Calculate Sophie's remaining money after buying ice cream and coffee:
       * Ice cream cost = $4
       * Coffee cost = $4
       * Total spent = $4 + $4 = $8
       * Remaining money from Monday = $36 - $8 = $28

    3. Calculate Sophie's earnings from her next single hour of work:
       * Sophie worked 1 more hour
       * She earns $18 per hour
       * Additional earnings = 1 hour × $18 per hour = $18

    4. Add the remaining money from Monday to her additional earnings:
       * Total money after the additional hour = $28 + $18 = $46

    5. Add the bonus from her grandmother:
       * Grandmother's bonus = $45
       * Total money = $46 + $45 = $91

    Therefore, Sophie has a total of $91 now.

    ### 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:

    Great! Let's solve this problem step by step with the updated information:

    1. Calculate Sophie's earnings from Monday:
       * Sophie worked 2 hours on Monday
       * She now earns $5 per hour
       * Monday's earnings = 2 hours × $5 per hour = $10

    2. Calculate Sophie's remaining money after buying ice cream and coffee:
       * Ice cream cost = $4
       * Coffee cost = $4
       * Total spent = $4 + $4 = $8
       * Remaining money from Monday = $10 - $8 = $2

    3. Calculate Sophie's earnings from her next single hour of work:
       * Sophie worked 1 more hour
       * She earns $5 per hour
       * Additional earnings = 1 hour × $5 per hour = $5

    4. Add the remaining money from Monday to her additional earnings:
       * Total money after the additional hour = $2 + $5 = $7

    5. Add the bonus from her grandmother:
       * Grandmother's bonus = $45
       * Total money = $7 + $45 = $52

    Therefore, with the updated hourly rate of $5, Sophie has a total of $52 now.

    ### 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 solve this problem step by step:

    1. Initial production:
       * Beach towels: 30
       * Hand towels: 6
       * Total towels: 30 + 6 = 36

    2. After giving away 7 towels for charity:
       * Remaining towels: 36 - 7 = 29

    3. Producing 14 more towels:
       * Total towels after second batch: 29 + 14 = 43

    4. Special batch production:
       * Special batch: 29 × 13 = 377

    5. Deducting 19 towels from the special batch (premium collection):
       * Premium collection: 377 - 19 = 358

    6. Removing 20 damaged towels from the premium collection:
       * Remaining premium collection: 358 - 20 = 338

    7. Deducting 3 more towels from the remaining premium collection and combining with the total after the second batch:
       * Final premium collection: 338 - 3 = 335
       * Total towels: 43 + 335 = 378

    ### 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:

    Let's organize the information we have:
    * The Zorkonian currently has 50 special energy crystals.
    * They will get 20 more energy crystals in a few earth days.
    * The zorbcraft's hidden compartment currently contains:
      - 50 energy crystals
      - 6 lumino-gems
    * The Zorkonian plans to add the upcoming 20 energy crystals to the hidden compartment.

    To find the total number of items in the zorbcraft's compartment after adding the new crystals, we need to:
    1. Add the current number of energy crystals in the compartment to the number of new crystals.
    2. Add the number of lumino-gems to the total number of energy crystals.

    Step 1: Total energy crystals
    * Current energy crystals in the compartment = 50
    * New energy crystals to be added = 20
    * Total energy crystals = 50 + 20 = <<50+20=70>>70

    Step 2: Total items in the compartment
    * Total energy crystals = 70
    * Number of lumino-gems = 6
    * Total items = 70 + 6 = <<70+6=76>>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:

    Let's organize the information and solve the problem step by step:
    * The park initially had 43 Velociraptors.
    * The park added 972 new dinosaurs.
    * Each new dinosaur type contained 27 dinosaurs.
    * The number of new dinosaur types is less than the number of Velociraptors.
    * The difference between the number of Velociraptors and new dinosaur types is multiplied by 7 to find the total eggs laid by the Velociraptors.

    Now, let's calculate:
    1. Number of new dinosaur types:
       * 972 ÷ 27 = <<972/27=36>>36 new dinosaur types

    2. Difference between the number of Velociraptors and new dinosaur types:
       * 43 - 36 = <<43-36=7>>7

    3. Total eggs laid by the Velociraptors:
       * 7 × 7 = <<7*7=49>>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:

    Continuing from the previous scenario:
    * The Velociraptors laid a total of 49 eggs.
    * The park's wardens discovered that 46 of these eggs were not fertilized and would not hatch.

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

    Calculation:
    * Number of eggs expected to hatch = Total eggs laid - Unfertilized eggs
    * Number of eggs expected to hatch = 49 - 46 = <<49-46=3>>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:

    Let's update the information and solve the problem step by step:
    * The park initially had 43 Velociraptors.
    * The park added 972 new dinosaurs.
    * Each new dinosaur type contained 46 dinosaurs (not 27 as previously stated).
    * The number of new dinosaur types is less than the number of Velociraptors.
    * The difference between the number of Velociraptors and new dinosaur types is multiplied by 7 to find the total eggs laid by the Velociraptors.

    Now, let's recalculate:
    1. Number of new dinosaur types:
       * 972 ÷ 46 = <<972/46=21.1304347826087>>21 new dinosaur types (rounded down as we can't have a fraction of a dinosaur type)

    2. Difference between the number of Velociraptors and new dinosaur types:
       * 43 - 21 = <<43-21=22>>22

    3. Total eggs laid by the Velociraptors:
       * 22 × 7 = <<22*7=154>>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:

    Let's solve this problem step by step:

    1. Understand the given information:
       * There are 46 oranges in the bowl initially.
       * Maria took 16 oranges from the bowl.

    2. To find the number of oranges left in the bowl, we need to subtract the number of oranges Maria took from the total number of oranges in the bowl:
       * Oranges left = Total oranges - Oranges taken by Maria
       * Oranges left = 46 - 16
       * Oranges left = 30

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

    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Okay, let's update our solution based on the new information:

    1. Understand the updated information:
       * Initially, Maria thought there were 46 oranges in the bowl.
       * However, she realized that there were actually 49 oranges in total.
       * Maria took 16 oranges from the bowl.

    2. To find the number of oranges left in the bowl, we need to subtract the number of oranges Maria took from the updated total number of oranges in the bowl:
       * Oranges left = Updated total oranges - Oranges taken by Maria
       * Oranges left = 49 - 16
       * Oranges left = 33

    Therefore, with the updated information, after Maria took 16 oranges from the bowl, there are 33 oranges left in the bowl.

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Find the number of toothbrushes produced before the rate increased:
       * The factory initially produced 37 toothbrushes per minute.
       * We don't know how long this rate continued, so we can't calculate the number of toothbrushes produced during this time.

    2. Calculate the number of toothbrushes produced at the increased rate:
       * The increased rate is 308 toothbrushes every 7 minutes.
       * To find the number of toothbrushes produced per minute, divide 308 by 7:
         308 ÷ 7 = 44 toothbrushes per minute

       * The increased rate continued for 16 minutes.
       * Number of toothbrushes produced at the increased rate:
         44 × 16 = <<44*16=704>>704 toothbrushes

    Since we don't have enough information to calculate the number of toothbrushes produced before the rate increased, the total number of toothbrushes produced is at least 704.

    ### Answer: At least 704 toothbrushes were produced in total.

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 organize the information and solve the problem step by step:

    * Initially, the laboratory had 39 telescopes.
    * In the first month, they added 7 more telescopes: 39 + 7 = 46 telescopes
    * In the second month, they added 17 more telescopes: 46 + 17 = 63 telescopes
    * In the third month, they added 12 more telescopes: 63 + 12 = 75 telescopes
    * In the fourth month, they added 18 more telescopes: 75 + 18 = 93 telescopes
    * In the fifth month, they added 39 more telescopes (the same number as they had initially): 93 + 39 = 132 telescopes
    * In the sixth month, they added 19 more telescopes: 132 + 19 = 151 telescopes

    Therefore, at the end of the sixth month, the research laboratory has a total of 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 number of telescopes based on the corrected information:

    * Initially, the laboratory had 39 telescopes.
    * In the first month, they added 7 more telescopes: 39 + 7 = 46 telescopes
    * In the second month, they added 17 more telescopes: 46 + 17 = 63 telescopes
    * In the third month, they added 29 telescopes (instead of 12): 63 + 29 = 92 telescopes
    * In the fourth month, they added 18 more telescopes: 92 + 18 = 110 telescopes
    * In the fifth month, they added 39 more telescopes (the same number as they had initially): 110 + 39 = 149 telescopes
    * In the sixth month, they added 19 more telescopes: 149 + 19 = 168 telescopes

    With the corrected information, the research laboratory would have a total of 168 telescopes at the end of the sixth month, before any old models were decommissioned. This is 17 more telescopes than the previous calculation (168 - 151 = 17), which is the difference between the corrected number of telescopes added in the third month (29) and the initially stated number (12).

    ### 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 organize the information and solve the problem step by step:
    * Initially, there were 20 forks and 23 knives on the table.
    * 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.
    * The original set of 20 forks and 23 knives was removed.

    Now, let's calculate:
    1. Initial number of utensils: 20 + 23 = <<20+23=43>>43
    2. Number of utensils added: 28 × 26 = <<28*26=728>>728
    3. Total expected utensils: 43 + 728 = <<43+728=771>>771
    4. Actual utensils after counting: 771 + 7 = <<771+7=778>>778
    5. Utensils after removing the missing ones: 778 - 46 = <<778-46=732>>732
    6. Utensils after removing the original set: 732 - (20 + 23) = 732 - 43 = <<732-43=689>>689

    Therefore, there were 689 utensils left on the table.

    ### Answer: 689

Expected answer: 646

Correct? No

🔗 Problem

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

Gemma 2B:

    Let's organize the information we have:
    * The unicorn initially had 50 red roses and 36 blue roses.
    * After the storm, 25 blue roses were destroyed.

    To find out how many roses the unicorn has left after the storm, we need to:
    1. Find the total number of roses before the storm.
    2. Subtract the number of blue roses destroyed by the storm.

    Step 1: Find the total number of roses before the storm
    * Total roses before the storm = Red roses + Blue roses
    * Total roses before the storm = 50 + 36 = 86

    Step 2: Subtract the number of blue roses destroyed by the storm
    * Roses left after the storm = Total roses before the storm - Blue roses destroyed
    * Roses left after the storm = 86 - 25 = 61

    Therefore, the unicorn has 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:

    Great! Let's continue from where we left off in the previous problem.

    Given:
    * The unicorn had 61 roses left in her garden after the storm.
    * The unicorn then planted 41 more pink roses.

    To find the total number of roses the unicorn has now, we need to:
    1. Add the number of pink roses planted to the number of roses left after the storm.

    Step 1: Add the number of pink roses planted to the number of roses left after the storm
    * Total roses now = Roses left after the storm + Pink roses planted
    * Total roses now = 61 + 41 = 102

    Therefore, the magical unicorn now has 102 roses in her mystical garden.

    ### Answer: 102

Expected answer: 102

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Let's organize the updated information:
    * The unicorn initially had 50 red roses and 38 blue roses (instead of 36).
    * After the storm, 25 roses were destroyed (the color of the destroyed roses is not specified).

    To find out how many roses the unicorn would have left after the storm in this scenario, we need to:
    1. Find the total number of roses before the storm.
    2. Subtract the number of roses destroyed by the storm.

    Step 1: Find the total number of roses before the storm
    * Total roses before the storm = Red roses + Blue roses
    * Total roses before the storm = 50 + 38 = 88

    Step 2: Subtract the number of roses destroyed by the storm
    * Roses left after the storm = Total roses before the storm - Roses destroyed
    * Roses left after the storm = 88 - 25 = 63

    Therefore, if the unicorn initially had 50 red roses and 38 blue roses, she would have 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:

    Let's organize the information and solve the problem step by step:
    * The factory produces 100 bottles every hour.
    * Half of the hourly production (50 bottles) is sent to one warehouse.
    * At another location, triple the amount sent to the first warehouse (3 × 50 = 150 bottles) was marked for shipping.
    * An additional 29 bottles were also marked for shipping at this location.
    * By the end of the day, 28 more bottles were added to this shipment.

    Now, let's calculate the total number of bottles marked for shipping:
    * Bottles marked for shipping at the second location = 150 + 29 = <<150+29=179>>179 bottles
    * Total bottles marked for shipping = 179 + 28 = <<179+28=207>>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:

    Let's organize the updated information and solve the problem step by step:
    * The factory produces 100 bottles every hour.
    * Half of the hourly production (50 bottles) is sent to one warehouse.
    * At another location, triple the amount sent to the first warehouse (3 × 50 = 150 bottles) was marked for shipping.
    * An additional 29 bottles were also marked for shipping at this location.
    * By the end of the day, 50 more bottles were added to this shipment (instead of 28 as in the previous scenario).

    Now, let's calculate the total number of bottles marked for shipping:
    * Bottles marked for shipping at the second location = 150 + 29 = <<150+29=179>>179 bottles
    * Total bottles marked for shipping = 179 + 50 = <<179+50=229>>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 solve this problem step by step:

    1. Calculate the height of the window frame:
       Height = 925 ÷ 37 + 26 inches
       Height = 25 + 26 inches
       Height = 51 inches

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

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

    4. Calculate the size of the glass required for the window:
       Glass size = Circumference - 32
       Glass size = 175 - 32
       Glass size = 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:

    Okay, let's solve the problem again with the updated measurements:

    1. Calculate the height of the window frame:
       Height = 925 ÷ 37 + 16 inches
       Height = 25 + 16 inches
       Height = 41 inches

    2. Calculate the width of the window:
       Width = Height + 11 inches
       Width = 41 + 11 inches
       Width = 52 inches

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

    4. Calculate the size of the glass required for the window:
       Glass size = Circumference - 32
       Glass size = 145 - 32
       Glass size = 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 solve this problem step by step:

    1. Find the number of gold coins each crew member gets:
       135 ÷ 9 = 15 gold coins per crew member

    2. Find the number of emeralds each crew member gets:
       323 ÷ 19 = 17 emeralds per crew member

    3. The pirate multiplies these two shares:
       15 × 17 = 255

    4. The pirate realizes he has overcounted the share by 14. So, we need to subtract 14 from the total share:
       255 - 14 = 241

    Therefore, the corrected total share per crew member is 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 solve this problem step by step:

    1. Find the weight of each piece in the 176g chocolate bar:
       * Each bar is divided into 8 pieces
       * Weight of each piece = 176 ÷ 8 = <<176/8=22>>22 grams

    2. Calculate the total weight of ingredients for the second batch of chocolates:
       * Cocoa: 38 grams
       * Sugar: 26 grams more than the weight of one piece (22 grams)
       * Total sugar: 22 + 26 = <<22+26=48>>48 grams
       * Total weight of ingredients for the second batch = 38 + 48 = <<38+48=86>>86 grams

    3. Calculate the total weight of ingredients for the third batch of chocolates:
       * Cocoa: 38 grams
       * Milk: 18 grams
       * Total weight of ingredients for the third batch = 38 + 18 = <<38+18=56>>56 grams

    4. Find the difference in the total weight of ingredients between the second and third batch:
       * Difference = Total weight of second batch - Total weight of third batch
       * Difference = 86 - 56 = <<86-56=30>>30 grams

    ### Answer: 30

Expected answer: 14

Correct? No

🔗 Problem

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

Gemma 2B:

    Let's organize the information we have:
    * Jenny has 9 red colored pencils.
    * The number of green colored pencils is 38 minus the number of red colored pencils.
    * The total number of times she used all the pencils is the product of the number of green and red pencils.

    Now, let's solve the problem step by step:

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

    2. Find the total number of times she used all the pencils:
       * Total number of times = Number of green pencils × Number of red pencils
       * Total number of times = 29 × 9 = 261

    Therefore, Jenny used all her pencils 261 times.

    ### Answer: 261

Expected answer: 261

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Great! Let's continue from the previous scenario and find the total number of times Jenny used all her pencils, including the blue ones.

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

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

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

    Therefore, Jenny used all her pencils a total of 308 times.

    ### Answer: 308

Expected answer: 308

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Okay, let's update the information based on the new scenario:
    * Jenny has 12 red colored pencils.
    * The number of green colored pencils is 38 minus the number of red colored pencils.
    * The total number of times she used all the pencils is the product of the number of green and red pencils.

    Now, let's solve the problem with the updated information:

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

    2. Find the total number of times she used all the pencils:
       * Total number of times = Number of green pencils × Number of red pencils
       * Total number of times = 26 × 12 = 312

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

    ### Answer: 312

Expected answer: 312

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Find the total number of connections in a standard robot:
       * Each robot has 17 transistors, and each transistor has 16 connections.
       * Total connections in a standard robot = 17 × 16 = 272

    2. Find the total number of connections in the strangely built robot:
       * The strangely built robot has one less connection than the standard robot, so it has 272 - 1 = 271 connections.
       * However, an extra 41 connections were added to compensate for the mistake.
       * Total connections in the strangely built robot = 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:

    Great! Let's solve this problem using the information we already have from the previous question.

    Given:
    - A standard robot has 17 transistors, and each transistor has 16 connections.
    - The new robot was produced with one less connection than the standard robot.
    - The production team added 13 additional connections to compensate for the lost connection.

    Step 1: Calculate the total number of connections in a standard robot.
    Total connections in a standard robot = 17 × 16 = 272

    Step 2: Calculate the number of connections in the new robot before adding the compensating connections.
    Connections in the new robot before compensation = 272 - 1 = 271

    Step 3: Add the compensating connections to the new robot.
    Total connections in the new robot = 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:

    Let's organize the information and solve the problem step by step:

    * On a busy day, there are 24 kids on each of the 31 attractions.
    * On a rainy day, there were only 6 kids in total.
    * We need to subtract the number of kids on the rainy day from the usual busy day, and then subtract 12 (the number of squirrels).

    1. Calculate the total number of kids on a busy day:
       * Number of kids on a busy day = 24 kids per attraction × 31 attractions
       * Number of kids on a busy day = 744 kids

    2. Subtract the number of kids on the rainy day from the busy day:
       * Number of kids after first subtraction = 744 kids - 6 kids
       * Number of kids after first subtraction = 738 kids

    3. Subtract the number of squirrels from the previous result:
       * Number of kids after second subtraction = 738 kids - 12 squirrels
       * Number of kids after second subtraction = 726

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

    ### 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:

    Great! Let's solve this problem using the same approach as before, but with the updated information.

    Given:
    * On a busy day, there are 24 kids on each of the 6 attractions.
    * On a rainy day, there were only 6 kids in total.
    * We need to subtract the number of kids on the rainy day from the usual busy day, and then subtract 12 (the number of squirrels).

    Step 1: Calculate the total number of kids on a busy day.
    * Number of kids on a busy day = 24 kids per attraction × 6 attractions
    * Number of kids on a busy day = 144 kids

    Step 2: Subtract the number of kids on the rainy day from the busy day.
    * Number of kids after first subtraction = 144 kids - 6 kids
    * Number of kids after first subtraction = 138 kids

    Step 3: Subtract the number of squirrels from the previous result.
    * Number of kids after second subtraction = 138 kids - 12 squirrels
    * Number of kids after second subtraction = 126

    Therefore, with 6 attractions at the jungle gym, after subtracting the number of kids on the rainy day and the number of squirrels from the usual busy day, you will have counted 126 kids in total.

    ### 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 problem and solve it step by step:

    1. The first step is to subtract 5 from 23:
       23 - 5 = 18

    2. Then, 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 (which doesn't change the value):
       756 × 1 = 756

    5. Finally, subtract 48 from the result:
       756 - 48 = 708

    Therefore, if you follow these steps, the ring's magic power will be 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:

    Great! Let's solve this problem with the adjusted initial mystical chant.

    Given:
    - In the initial mystical chant, subtract 5 from 8 (instead of 23)
    - The rest of the magic formula remains the same

    Step 1: Subtract 5 from 8
    8 - 5 = 3

    Step 2: Multiply the result by the number of magical chants (6)
    3 × 6 = 18

    Step 3: Multiply the result by 7
    18 × 7 = 126

    Step 4: Multiply the result by 1 (which doesn't change the value)
    126 × 1 = 126

    Step 5: Subtract 48 from the result
    126 - 48 = 78

    With the adjustment in the initial mystical chant, the final power of the ring would be 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:

    Let's organize the given information:
    - The child can make 15 cookies in one hour.
    - The child spends 24 hours making cookies.

    To find the total number of cookies made, we need to multiply the number of cookies made in one hour by the total number of hours spent making cookies.

    Cookies made in one hour = 15
    Total hours spent making cookies = 24

    Total cookies made = Cookies made in one hour × Total hours spent making cookies
    Total cookies made = 15 × 24 = 360

    Therefore, the child made 360 cookies in total.

    ### 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:

    Great! Let's solve this problem using the new information.

    Given:
    - The child can now make 40 cookies in one hour.
    - The child spends the same amount of time (24 hours) baking.

    To find the total number of cookies made with the increased production rate, we multiply the new number of cookies made in one hour by the total number of hours spent baking.

    Cookies made in one hour = 40
    Total hours spent baking = 24

    Total cookies made = Cookies made in one hour × Total hours spent baking
    Total cookies made = 40 × 24 = 960

    Therefore, with the increased production rate, the child made 960 cookies in 24 hours.

    ### Answer: 960

Expected answer: 960

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Initially, the silversmith had 16 silver rings.

    2. After creating more rings, he had:
       * 28 silver rings
       * 24 gold rings
       * Total rings after creation: 28 + 24 = 52

    3. He subtracted the original stock of silver rings from the total:
       * Rings after subtraction: 52 - 16 = 36

    4. After trading some rings, he had 21 rings less than what he had after the creation stage:
       * Rings after trading: 36 - 21 = 15

    5. For a special order, he created 26 times the number of rings he had left:
       * Rings created for the special order: 15 × 26 = 390

    6. For another order, he made:
       * 7 platinum rings
       * 47 bronze rings

    7. Total rings the silversmith has now:
       * Rings from the special order: 390
       * Platinum rings: 7
       * Bronze rings: 47
       * Total rings: 390 + 7 + 47 = <<390+7+47=444>>444

    ### 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 solve this problem step by step, considering the change in the initial number of silver rings:

    1. Initially, the silversmith had 16 silver rings.

    2. After creating more rings, he had:
       * 18 silver rings (instead of 28)
       * 24 gold rings
       * Total rings after creation: 18 + 24 = 42

    3. He subtracted the original stock of silver rings from the total:
       * Rings after subtraction: 42 - 16 = 26

    4. After trading some rings, he had 21 rings less than what he had after the creation stage:
       * Rings after trading: 26 - 21 = 5

    5. For a special order, he created 26 times the number of rings he had left:
       * Rings created for the special order: 5 × 26 = 130

    6. For another order, he made:
       * 7 platinum rings
       * 47 bronze rings

    7. Total rings the silversmith has now:
       * Rings from the special order: 130
       * Platinum rings: 7
       * Bronze rings: 47
       * Total rings: 130 + 7 + 47 = <<130+7+47=184>>184

    ### 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:

    Let's organize the information and solve the problem step by step:

    1. Number of rows: 19
    2. Number of flowers planted in each row: 40
    3. Only half of the flowers in each row grow properly: 40 ÷ 2 = 20
    4. Number of flowers in the small corners: 18 + 48 = 66

    Now, let's calculate the total number of flowers in the rows:
    * Number of flowers in each row that grow properly: 20
    * Total number of flowers in the rows: 20 × 19 = 380

    Next, let's find the difference between the total number of flowers in the rows and the small corners:
    * Difference = Total flowers in rows - Total flowers in small corners
    * Difference = 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:

    Let's organize the information and solve the problem step by step:

    1. The bird usually lays an average of 11 eggs per month.
    2. This month, the bird laid 4 times the average number of eggs.
       * Number of eggs laid this month = 11 × 4 = 44 eggs

    3. The forest welcoming committee distributed an additional 40 eggs to various nests.

    4. Total number of eggs in the forest this month:
       * Total eggs = Eggs laid by the bird + Eggs distributed by the committee
       * Total eggs = 44 + 40 = 84 eggs

    ### 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:

    Great! Let's continue from where we left off and solve the problem step by step.

    Given:
    - The forest rangers found 216 more eggs.
    - They divided these eggs between 18 nests.
    - These eggs were added to the initial number of eggs in the forest (84 eggs from the previous calculation).

    Step 1: Calculate the number of eggs added to each nest.
    Eggs per nest = Total eggs found ÷ Number of nests
    Eggs per nest = 216 ÷ 18 = 12 eggs

    Step 2: Calculate the total number of eggs added to the nests.
    Total eggs added = Eggs per nest × Number of nests
    Total eggs added = 12 × 18 = 216 eggs

    Step 3: Calculate the total number of eggs in the forest now.
    Total eggs now = Initial eggs + Eggs added by forest rangers
    Total eggs now = 84 + 216 = 300 eggs

    ### 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 solve this problem step by step:

    1. You start with 41 drops of red paint.
    2. You add 13 drops of white paint and another 41 drops of red paint.
       * Total drops in the mixture: 41 + 13 + 41 = 95 drops

    3. You take a 34-drop sample from the 95-drop mixture and add it to a new mixture.
       * Drops in the new mixture: 34 drops

    4. You then take away 34 drops from the new mixture (the same amount as the original sample).
       * Drops remaining in the new mixture: 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 solve this problem step by step:

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

    2. Multiply the difference by 49 to determine the weekly goal:
       5 × 49 = 245

    3. Calculate the number of toy cars prepared by staff members daily:
       12 staff members × 9 toy cars per day = 108 toy cars per day

    4. Add 45 to the total number of toy cars prepared by staff members:
       108 + 45 = 153

    5. Add the weekly goal, staff prepared cars, and the additional toy cars made on Friday:
       Weekly goal: 245
       Staff prepared cars: 153
       Additional toy cars on Friday: 31
       245 + 153 + 31 = 429

    Therefore, the total number of toy cars made in this process is 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 solve this problem step by step:

    1. The weekly goal remains the same as last week:
       Weekly goal = 245

    2. Calculate the new number of toy cars prepared by staff members daily:
       12 staff members × 6 toy cars per day = 72 toy cars per day

    3. Add 45 to the total number of toy cars prepared by staff members:
       72 + 45 = 117

    4. The additional toy cars made on Friday remain the same as last week:
       Additional toy cars on Friday = 31

    5. Add the weekly goal, staff prepared cars, and the additional toy cars made on Friday:
       Weekly goal: 245
       Staff prepared cars: 117
       Additional toy cars on Friday: 31
       245 + 117 + 31 = 393

    Therefore, the total number of toy cars made this week is 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:

    Let's solve this problem step by step:

    1. Understand the given information:
       * The farmer harvested 45 carrots in one day.
       * For every carrot over 44 per day, he can earn 29 dollars.

    2. Calculate the number of carrots over 44:
       * Carrots over 44 = Total carrots harvested - 44
       * Carrots over 44 = 45 - 44 = 1 carrot

    3. Calculate the earnings for the carrots over 44:
       * Earnings = Number of carrots over 44 × Dollars per carrot over 44
       * Earnings = 1 × $29 = $29

    Therefore, if this continued, the farmer would have earned $29 for the single carrot over 44 per day.

    ### 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:

    Great! Let's solve this problem using the new market rate for extra carrots.

    Given:
    - The farmer harvested 45 carrots in one day.
    - For every carrot over 44 per day, he can now earn 41 dollars.

    Step 1: Calculate the number of carrots over 44.
    Carrots over 44 = Total carrots harvested - 44
    Carrots over 44 = 45 - 44 = 1 carrot

    Step 2: Calculate the new earnings for the carrots over 44.
    New earnings = Number of carrots over 44 × New dollars per carrot over 44
    New earnings = 1 × $41 = $41

    Therefore, with the new market rate, the farmer would earn $41 for the single carrot over 44 per day.

    ### 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:

    Let's organize the information and solve the problem step by step:

    1. The worker started with 26 pairs of socks.
    2. 50 pairs got torn and were discarded. (This leaves the worker with a negative number of socks.)
    3. The worker produced 36 more pairs to replace the torn ones.
    4. Each pair of socks is sold for $37.
    5. The worker found a $13 bill on the floor.

    Now, let's calculate:
    * Remaining socks after discarding the torn ones: 26 - 50 = -24 pairs
    * Total socks after producing 36 more pairs: -24 + 36 = 12 pairs
    * Money earned from selling the socks: 12 × $37 = $444
    * Total money the worker has: $444 (from sock sales) + $13 (found on the floor) = $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:

    Great! Let's solve this problem using the updated information. We'll follow the same steps as before, but with the new selling price for each pair of socks.

    Given:
    - The worker started with 26 pairs of socks.
    - 50 pairs got torn and were discarded.
    - The worker produced 36 more pairs to replace the torn ones.
    - Each pair of socks is now sold for $40.
    - The worker found a $13 bill on the floor.

    Step 1: Calculate the remaining socks after discarding the torn ones.
    Remaining socks = Initial socks - Torn socks
    Remaining socks = 26 - 50 = -24 pairs

    Step 2: Calculate the total socks after producing 36 more pairs.
    Total socks = Remaining socks + Produced socks
    Total socks = -24 + 36 = 12 pairs

    Step 3: Calculate the money earned from selling the socks at the new price.
    Money earned from sock sales = Total socks × Price per pair
    Money earned from sock sales = 12 × $40 = $480

    Step 4: Calculate the total money the worker has, including the found bill.
    Total money = Money earned from sock sales + Found money
    Total money = $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 solve this problem step by step:

    1. The jewelry maker starts with 38 beads.

    2. She removes a number of beads equal to 560 divided by 40.
       560 ÷ 40 = <<560/40=14>>14 beads removed
       After removing beads: 38 - 14 = <<38-14=24>>24 beads

    3. She thinks her initial count may have been wrong and she may have actually started with 15 more beads.
       Adjusted initial count: 38 + 15 = <<38+15=53>>53 beads
       After removing beads from the adjusted count: 53 - 14 = <<53-14=39>>39 beads

    4. She adds one more bead to the adjusted count after removing beads.
       39 + 1 = <<39+1=40>>40 beads

    5. Finally, she adds 39 more beads.
       40 + 39 = <<40+39=79>>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 the previous answer and solve this problem step by step:

    1. From the previous problem, the jewelry maker had 79 beads on her bracelet.

    2. She removes the same number of beads as before, which is equal to 560 divided by 40.
       560 ÷ 40 = <<560/40=14>>14 beads removed
       After removing beads: 79 - 14 = <<79-14=65>>65 beads

    3. She finds a small box with an additional 20 beads and adds them to the bracelet.
       65 + 20 = <<65+20=85>>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 solve this problem step by step:

    1. The jewelry maker starts with 50 beads.

    2. She removes a number of beads equal to 560 divided by 40.
       560 ÷ 40 = <<560/40=14>>14 beads removed
       After removing beads: 50 - 14 = <<50-14=36>>36 beads

    3. She thinks her initial count may have been wrong and she may have actually started with 15 more beads.
       Adjusted initial count: 50 + 15 = <<50+15=65>>65 beads
       After removing beads from the adjusted count: 65 - 14 = <<65-14=51>>51 beads

    4. She adds one more bead to the adjusted count after removing beads.
       51 + 1 = <<51+1=52>>52 beads

    5. Finally, she adds 39 more beads.
       52 + 39 = <<52+39=91>>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 solve this problem step by step:

    1. Initially, there are 30 sharks in the aquarium.
    2. 23 sharks are moved to a different area, so the remaining number of sharks is:
       30 - 23 = 7 sharks

    3. 14 more sharks are brought in, so the new total is:
       7 + 14 = 21 sharks

    4. 3 more sharks are moved to the other area, so the remaining number of sharks is:
       21 - 3 = 18 sharks

    5. For the research study, the number of sharks is multiplied by 43:
       18 × 43 = 774 sharks

    ### Answer: 774

Expected answer: 774

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Okay, let's solve this problem based on the information from the previous question:

    1. Initially, there were 30 sharks in the aquarium.
    2. 23 sharks were moved to a different area, leaving 30 - 23 = 7 sharks.
    3. 14 more sharks were brought in, making the total 7 + 14 = 21 sharks.
    4. 3 more sharks were moved to the other area, leaving 21 - 3 = 18 sharks.

    Now, instead of multiplying the number of sharks by 43, the scientists multiplied it by 4 due to a mistake:

    5. For the research study, the number of sharks is multiplied by 4:
       18 × 4 = 72 sharks

    ### 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 solve this problem step by step:

    1. Calculate the number of gold coins earned in each of the first two rounds:
       * Points collected in each round = 150
       * Gold coins earned per round = 150 ÷ 10 = 15

    2. Calculate the total number of gold coins earned in the first two rounds:
       * Gold coins earned in two rounds = 15 × 2 = 30

    3. In the third round, you collected:
       * Emeralds = 28
       * Sapphires = 14

    4. In the third round, you had to sacrifice the same amount of gold coins as you earned in the first two rounds:
       * Gold coins sacrificed = 30

    5. The number of emeralds and sapphires left after the third round:
       * Emeralds left = 28
       * Sapphires left = 14
       * Total emeralds and sapphires left = 28 + 14 = 42

    ### Answer: 42

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

    Now, let's calculate the number of containers the train is carrying:
    1. Regular load: 15 containers
    2. Friday's extra load: 15 + 12 = 27 containers
    3. Monday's additional load: 27 + 26 = 53 containers
    4. Wednesday's decreased load: 53 - 32 = 21 containers
    5. Particular trip's extra containers: 21 + 2 = 23 containers
    6. After the stop, additional containers loaded: 23 + 48 = 71 containers

    Therefore, at this point, the train is carrying 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:

    Let's organize the information and solve the problem step by step:

    1. Lemons harvested in the morning: 39
    2. Lemons harvested in the afternoon: 33
    3. Total lemons harvested: 39 + 33 = 72
    4. Spoiled lemons: 12
    5. Remaining lemons after spoilage: 72 - 12 = 60
    6. Lemons used for making lemonade: 23
    7. Lemons left after making lemonade: 60 - 23 = 37

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

    ### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

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

Gemma 2B:

    Let's update our calculations based on the new information:

    1. Lemons harvested in the morning: 39
    2. Lemons harvested in the afternoon: 33
    3. Total lemons harvested: 39 + 33 = 72
    4. Spoiled lemons: 24 (updated)
    5. Remaining lemons after spoilage: 72 - 24 = 48
    6. Lemons used for making lemonade: 23
    7. Lemons left after making lemonade: 48 - 23 = 25

    With 24 lemons getting spoiled on the first day instead of 12, the farmer would have 25 lemons left after making the lemonade.

    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's solve this problem step by step:

    1. Understand the given information:
       * The bee lands on 33 flowers in an hour.
       * The bee collects 15 nectar droplets from each flower.
       * The bee started with 26 nectar droplets.

    2. Calculate the total number of nectar droplets the bee collects from the flowers:
       * Nectar droplets collected = Number of flowers × Nectar droplets per flower
       * Nectar droplets collected = 33 × 15
       * Nectar droplets collected = 495

    3. Add the number of nectar droplets the bee started with to the collected nectar droplets:
       * Total nectar droplets = Nectar droplets collected + Initial nectar droplets
       * Total nectar droplets = 495 + 26
       * Total nectar droplets = 521

    ### 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:

    Great! Let's solve this problem with the updated information.

    Given:
    - The bee lands on 33 flowers in an hour.
    - The bee collects 15 nectar droplets from each flower.
    - The bee started with 49 nectar droplets (instead of 26).

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

    Step 2: Add the number of nectar droplets the bee started with to the collected nectar droplets.
    Total nectar droplets = Nectar droplets collected + Initial nectar droplets
    Total nectar droplets = 495 + 49 = 544

    ### 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 organize the information we have:
    * The company initially produces 36 marshmallow packs per hour.
    * They increase their daily production by 350 marshmallows, distributed evenly over 7 hours.
    * They also plan to add 6 marshmallow packs to their hourly production.
    * However, they end up producing 43 packs less per hour than their goal.

    Now, let's solve the problem step by step:

    1. Calculate the additional marshmallow packs per hour from the daily increase:
       * Additional marshmallows per hour = 350 marshmallows ÷ 7 hours
       * Additional marshmallows per hour = 50 marshmallows

    2. Calculate the planned hourly production:
       * Planned hourly production = Initial production + Additional packs + Additional marshmallows per hour
       * Planned hourly production = 36 packs + 6 packs + 50 marshmallows
       * Assuming there are 50 marshmallows in a pack, the planned hourly production is 36 + 6 + 1 = 43 packs.

    3. Calculate the actual hourly production:
       * Actual hourly production = Planned hourly production - 43 packs
       * Actual hourly production = 43 packs - 43 packs
       * Actual hourly production = 0 packs

    Therefore, due to the limitations, the company is now producing 0 marshmallow packs per hour.

    ### Answer: 0

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 solve this problem step by step:

    1. Find the average number of lights per day for the first wizard:
       * Total lights = 882
       * Number of days = 21
       * Average lights per day = 882 ÷ 21 = 42

    2. Find the average number of orbs per day for the second wizard:
       * Total orbs = 460
       * Number of days = 20
       * Average orbs per day = 460 ÷ 20 = 23

    3. Find the difference in their daily averages:
       * Difference = First wizard's average - Second wizard's average
       * Difference = 42 - 23 = 19

    4. Calculate the magical constant 'n':
       * n = Difference in daily averages × Second wizard's daily average
       * n = 19 × 23
       * n = 437

    ### Answer: 437

Expected answer: 437

Correct? Yes

🔗 Problem

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

Gemma 2B:

    Let's organize the information and solve the problem step by step:

    1. The candy factory has 20 different flavors of candy.
    2. The Sugar Rush has 14 base ingredients.
    3. The Candy Twirl has 25 base ingredients.
    4. The Jawbreaker has 16 base ingredients.
    5. The Special Mix combines the bestsellers and adds 43 extra goodies.
    6. The limited edition candy takes a piece of the Special Mix, adds 7 uniquely crafted sweets, combines it with one of each flavor from their 20 different flavored candies (excluding 19 of them), and removes 3 experimental sweets.

    Now, let's calculate:
    * Base ingredients in the Special Mix = 14 (Sugar Rush) + 25 (Candy Twirl) + 16 (Jawbreaker) = <<14+25+16=55>>55
    * Total components in the Special Mix = 55 (base ingredients) + 43 (extra goodies) = <<55+43=98>>98
    * Components in the limited edition candy = 98 (Special Mix) + 7 (uniquely crafted sweets) + 1 (one of each flavor) - 19 (excluded flavors) - 3 (removed experimental sweets) = <<98+7+1-19-3=84>>84

    ### Answer: 84

Expected answer: 103

Correct? No

🔗 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 solve this problem step by step:

    1. Find the total number of officers initially assigned:
       * North district: 32 officers
       * South district: 33 officers
       * Downtown district: 29 officers
       * Total officers initially assigned = 32 + 33 + 29 = 94 officers

    2. After the operation, 21 officers from the downtown district were transferred elsewhere:
       * Remaining officers = 94 - 21 = 73 officers

    3. A week later, 39 officers were added to the remaining duty force:
       * Updated number of officers = 73 + 39 = 112 officers

    4. Later that day, another 14 officers joined the force:
       * Final number of officers on duty = 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:

    Okay, let's solve this problem step by step with the new conditions:

    1. Find the total number of officers initially assigned:
       * North district: 32 officers
       * South district: 33 officers
       * Downtown district: 29 officers
       * Total officers initially assigned = 32 + 33 + 29 = 94 officers

    2. This time, 21 officers from the total force were transferred elsewhere:
       * Remaining officers = 94 - 21 = 73 officers

    3. A week later, 22 officers were added to the remaining duty force:
       * Updated number of officers = 73 + 22 = 95 officers

    4. Later that day, another 14 officers joined the force, just like in the initial scenario:
       * Final number of officers on duty = 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 solve this problem step by step:

    1. Understand the given information:
       * The initial distance between the Moon and the Earth was 36 million kilometers.
       * The distance decreased by 19 million kilometers later in the month.
       * Then, the distance increased by 11 million kilometers.
       * We need to find the value of (final distance in millions of kilometers) × 19 - 27.

    2. Calculate the final distance between the Moon and the Earth:
       * Final distance = Initial distance - Decrease + Increase
       * Final distance = 36 - 19 + 11
       * Final distance = 28 million kilometers

    3. Calculate the value using the given formula:
       * Value = (Final distance in millions of kilometers) × 19 - 27
       * Value = 28 × 19 - 27
       * Value = 532 - 27
       * Value = 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:

    Great! Let's solve this problem using the information from the previous scenario and the new condition.

    Given:
    - The initial distance between the Moon and the Earth was 36 million kilometers.
    - The distance decreased by 19 million kilometers later in the month.
    - Then, the distance increased by 11 million kilometers.
    - We need to find the value of (final distance in millions of kilometers) × 19 - 45.

    Step 1: Calculate the final distance between the Moon and the Earth (same as before).
    Final distance = Initial distance - Decrease + Increase
    Final distance = 36 - 19 + 11
    Final distance = 28 million kilometers

    Step 2: Calculate the new value using the given formula with the updated condition.
    New value = (Final distance in millions of kilometers) × 19 - 45
    New value = 28 × 19 - 45
    New value = 532 - 45
    New value = 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 organize the information we have:
    * First tiger:
      - Average step length: 9 meters
      - Took two steps and then leaped 44 meters
    * Second tiger:
      - Covered a distance combining 23 meters with a leap and a 46-meter run
      - Retraced the distance equal to the first tiger's steps and leap

    Now, let's solve the problem step by step:

    1. Calculate the distance covered by the first tiger:
       * Distance covered in steps = 2 × 9 meters = 18 meters
       * Total distance covered by the first tiger = 18 meters + 44 meters = 62 meters

    2. Calculate the initial distance covered by the second tiger:
       * Initial distance covered by the second tiger = 23 meters + 46 meters = 69 meters

    3. Calculate the distance retraced by the second tiger:
       * Distance retraced = First tiger's steps + First tiger's leap
       * Distance retraced = 18 meters + 44 meters = 62 meters

    4. Calculate the final distance covered by the second tiger:
       * Final distance = Initial distance - Retraced distance
       * Final distance = 69 meters - 62 meters = 7 meters

    ### Answer: The second tiger finally covered a distance of 7 meters.

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:

    Let's continue from the previous situation and add the new information:
    * Second tiger:
      - Covered a distance combining 23 meters with a leap and a 46-meter run
      - Retraced the distance equal to the first tiger's steps and leap
      - Ran an additional 30 meters and then made a 44-meter leap

    Now, let's solve the problem step by step:

    1. Calculate the initial distance covered by the second tiger:
       * Initial distance covered by the second tiger = 23 meters + 46 meters = 69 meters

    2. Calculate the distance retraced by the second tiger:
       * Distance retraced = First tiger's steps + First tiger's leap
       * Distance retraced = 18 meters + 44 meters = 62 meters

    3. Calculate the distance covered after retracing:
       * Distance after retracing = Initial distance - Retraced distance
       * Distance after retracing = 69 meters - 62 meters = 7 meters

    4. Calculate the additional distance covered by the second tiger:
       * Additional distance = 30 meters run + 44 meters leap
       * Additional distance = 30 meters + 44 meters = 74 meters

    5. Calculate the total distance covered by the second tiger:
       * Total distance = Distance after retracing + Additional distance
       * Total distance = 7 meters + 74 meters = 81 meters

    ### Answer: The second tiger covered a total distance of 81 meters after all these movements.

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 solve this problem step by step:

    1. Calculate the number of toothpaste tubes produced on Sunday:
       * They produce 26 tubes every hour for 7 hours: 26 * 7 = 182 tubes
       * They produce an additional 8 tubes on Sunday: 182 + 8 = 190 tubes
       * Total tubes produced on Sunday: 190

    2. Calculate the number of toothpaste tubes produced on Monday:
       * They add 31 tubes to Sunday's total: 190 + 31 = 221 tubes
       * Total tubes produced by the end of Monday: 221

    3. Calculate the number of empty boxes left in the packaging department:
       * They have 50 empty boxes and use 19 for another department: 50 - 19 = 31 boxes
       * Total empty boxes left: 31

    4. Calculate the total number of toothpaste tubes ready:
       * Total tubes ready = Packaged boxes + Monday's production
       * Total tubes ready = 31 + 221 = 252 tubes

    5. Calculate the additional tubes produced on Tuesday:
       * They produce an additional 48 tubes on Tuesday
       * Total tubes produced on Tuesday: 48

    6. Calculate the total number of toothpaste tubes produced until Tuesday, inclusive:
       * Total tubes = Total tubes ready by Monday + Tuesday's production
       * Total tubes = 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 solve this problem step by step with the new information:

    1. Calculate the number of toothpaste tubes produced on Sunday:
       * They produce 22 tubes every hour for 7 hours: 22 * 7 = 154 tubes
       * They produce an additional 8 tubes on Sunday: 154 + 8 = 162 tubes
       * Total tubes produced on Sunday: 162

    2. Calculate the number of toothpaste tubes produced on Monday:
       * They add 31 tubes to Sunday's total: 162 + 31 = 193 tubes
       * Total tubes produced by the end of Monday: 193

    3. Calculate the number of empty boxes left in the packaging department:
       * They have 50 empty boxes and use 19 for another department: 50 - 19 = 31 boxes
       * Total empty boxes left: 31

    4. Calculate the total number of toothpaste tubes ready for packaging:
       * Total tubes ready = Packaged boxes + Monday's production
       * Total tubes ready = 31 + 193 = 224 tubes

    5. Calculate the additional tubes produced on Tuesday:
       * They produce an additional 48 tubes on Tuesday
       * Total tubes produced on Tuesday: 48

    6. Calculate the total number of toothpaste tubes produced until Tuesday, inclusive:
       * Total tubes = Total tubes ready by Monday + Tuesday's production
       * Total tubes = 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 organize the information and solve the problem step by step:

    1. Initially, the unicorn has:
       * 42 rainbow pebbles
       * 44 dreamberries

    2. A day later, the unicorn finds:
       * 26 more rainbow pebbles
       * Total rainbow pebbles: 42 + 26 = 68

    3. Later on, the unicorn gathers:
       * 33 more rainbow pebbles
       * Total rainbow pebbles: 68 + 33 = 101
       * The unicorn adds these to the stash of dreamberries: 101 + 44 = 145

    4. Finally, the unicorn finds:
       * 40 magical dandelions
       * Total items: 145 + 40 = 185
       * But the unicorn loses 14 items: 185 - 14 = 171

    Therefore, after all these events, the unicorn has a total of 171 items.

    ### Answer: 171

Expected answer: 171

Correct? Yes

🔗 Follow-up

Problem: In the previous magical scenario, consider that instead of initially having 42 rainbow pebbles, the unicorn started with just 40. It still finds 26 more the following day. Maintaining his stash of 44 dreamberries, the unicorn still accumulates 33 more rainbow pebbles and adds them to the dreamberries. Once again, the unicorn ventures to obtain an additional 40 magical dandelions, but unfortunately, he loses 14. After these events, how many items does the unicorn have?

Gemma 2B:

    Let's organize the updated information and solve the problem step by step:

    1. Initially, the unicorn has:
       * 40 rainbow pebbles (instead of 42)
       * 44 dreamberries

    2. A day later, the unicorn finds:
       * 26 more rainbow pebbles
       * Total rainbow pebbles: 40 + 26 = 66

    3. Later on, the unicorn gathers:
       * 33 more rainbow pebbles
       * Total rainbow pebbles: 66 + 33 = 99
       * The unicorn adds these to the stash of dreamberries: 99 + 44 = 143

    4. Finally, the unicorn finds:
       * 40 magical dandelions
       * Total items: 143 + 40 = 183
       * But the unicorn loses 14 items: 183 - 14 = 169

    Therefore, after all these events, with the updated initial number of rainbow pebbles, the unicorn has a total of 169 items.

    ### Answer: 169

Expected answer: 169

Correct? Yes

🔗 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:

    Let's solve this problem step by step:

    1. Find the total number of jewels the pirate captain initially had:
       * There are 23 types of jewels, and each type has 28 jewels.
       * Total jewels = 23 × 28 = 644 jewels

    2. The pirate captain lost 40 jewels on his way back to the ship:
       * Remaining jewels after losing = 644 - 40 = 604 jewels

    3. The next day, he found 16 jewels on a deserted island:
       * Total jewels after finding = 604 + 16 = 620 jewels

    Therefore, the pirate captain now has 620 jewels in his treasure chest.

    ### Answer: 620

Expected answer: 620

Correct? Yes

🔗 Follow-up

Problem: Following the discovery of additional jewels, the pirate captain realized he had miscalculated the number of types of jewels in his original stash. Instead of 23 types of jewels, he remembered that he actually only had 17 types originally, with each type still containing 28 jewels. After recalculating his treasure and still taking into account the loss of 40 jewels and the 16 he found on a deserted island, how many jewels does he have now?

Gemma 2B:

    Okay, let's recalculate the problem with the updated information:

    1. Find the total number of jewels the pirate captain initially had:
       * There are 17 types of jewels (instead of 23), and each type has 28 jewels.
       * Total jewels = 17 × 28 = 476 jewels

    2. The pirate captain lost 40 jewels on his way back to the ship:
       * Remaining jewels after losing = 476 - 40 = 436 jewels

    3. The next day, he found 16 jewels on a deserted island:
       * Total jewels after finding = 436 + 16 = 452 jewels

    Therefore, after recalculating his treasure with the correct number of jewel types, and still considering the lost and found jewels, the pirate captain now has 452 jewels in his treasure chest.

    ### 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:

    Let's organize the information and solve the problem step by step:

    1. The star initially has 38 neutrons.
    2. It gains 4 more neutrons.
       * Total neutrons after gaining: 38 + 4 = 42

    3. The total number of neutrons gets multiplied by 18.
       * Energy output from neutrons: 42 × 18 = 756

    4. During an explosion, the star releases additional energy equivalent to 6 plus 25.
       * Additional energy released: 6 + 25 = 31

    5. Total energy emitted by the star:
       * Total energy = Energy output from neutrons + Additional energy released
       * Total energy = 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:

    Let's organize the updated information and solve the problem step by step:

    1. The star initially has 38 neutrons.
    2. It gains 4 more neutrons.
       * Total neutrons after gaining: 38 + 4 = 42

    3. The total number of neutrons gets multiplied by 10 (instead of 18).
       * Energy output from neutrons: 42 × 10 = 420

    4. During an explosion, the star releases additional energy equivalent to 6 plus 25.
       * Additional energy released: 6 + 25 = 31

    5. Total energy emitted by the star:
       * Total energy = Energy output from neutrons + Additional energy released
       * Total energy = 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 down the problem and solve it step by step:

    1. The gardener initially planted 13 Sunflowers.

    2. The next day, he calculated the number of additional Sunflowers to plant:
       * Number of petals on one sunflower = 5
       * Additional Sunflowers = (37 × 5) - 18
       * Additional Sunflowers = 185 - 18 = 167

    3. The following day, he adjusted the number of Sunflowers:
       * Adjusted Sunflowers = 167 - 10 + 13 (initial Sunflowers)
       * Adjusted Sunflowers = 170

    4. He calculated the number of spots needed for 92 orchids:
       * Each spot can hold 23 orchids
       * Number of spots needed = 92 ÷ 23
       * Number of spots needed = 4

    5. At the end of the week, he summed up the total number of plants and spots, then doubled it:
       * Total = (Adjusted Sunflowers + Orchids) × 2
       * Total = (170 + 92) × 2
       * Total = 262 × 2 = 524

    ### Answer: 524

Expected answer: 348

Correct? No

🔗 Problem

Problem: In a particular pond, there are 18 frogs. Each frog can catch 21 flies in a day. How many flies do all the frogs catch in a day?

Gemma 2B:

    Let's solve this problem step by step:

    1. Understand the given information:
       * There are 18 frogs in the pond.
       * Each frog can catch 21 flies in a day.

    2. To find the total number of flies caught by all the frogs in a day, we need to multiply the number of frogs by the number of flies each frog catches:
       * Total flies caught = Number of frogs × Flies caught by each frog
       * Total flies caught = 18 × 21
       * Total flies caught = 378

    Therefore, all the frogs in the pond catch a total of 378 flies in a day.

    ### Answer: 378

Expected answer: 378

Correct? Yes

🔗 Follow-up

Problem: Using the initial information from the previous problem where 18 frogs catch 21 flies each in a day (resulting in a total of 'j' flies), imagine the scenario where a particularly voracious toad comes by the next day and catches an additional 39 flies. How many flies have been caught in total over the two days then?

Gemma 2B:

    Great! Let's solve this problem step by step using the information from the previous problem.

    Given:
    - There are 18 frogs in the pond.
    - Each frog catches 21 flies in a day.
    - The total number of flies caught by the frogs in a day is 'j' (which we found to be 378 in the previous problem).
    - The next day, a voracious toad catches an additional 39 flies.

    Step 1: Determine the total number of flies caught by the frogs over two days.
    Total flies caught by frogs = Number of flies caught in a day × 2
    Total flies caught by frogs = j × 2
    Total flies caught by frogs = 378 × 2 = 756

    Step 2: Add the number of flies caught by the toad to the total number of flies caught by the frogs over two days.
    Total flies caught over two days = Total flies caught by frogs + Flies caught by the toad
    Total flies caught over two days = 756 + 39 = 795

    Therefore, the total number of flies caught over the two days, including the flies caught by the voracious toad, is 795.

    ### Answer: 795

Expected answer: 417

Correct? No

🔗 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:

    Great! Let's solve this problem using the information from the previous problem.

    Given:
    - The number of frogs in the pond has increased to 46.
    - Each frog can still catch 21 flies in a day.

    To find the total number of flies caught by all the frogs in a day, we multiply the new number of frogs by the number of flies each frog catches:

    Total flies caught = Number of frogs × Flies caught by each frog
    Total flies caught = 46 × 21
    Total flies caught = 966

    Therefore, with the increased number of frogs in the pond, all the frogs now catch a total of 966 flies in a day.

    ### Answer: 966

Expected answer: 966

Correct? Yes

🔗 Problem

Problem: A community center has 21 chairs in their main meeting room. They are supplemented with an additional 22 chairs from the storage room for a large event. How many chairs are in the meeting room now for the event?

Gemma 2B:

    To solve this problem, let's organize the given information:
    * The main meeting room has 21 chairs.
    * An additional 22 chairs are brought from the storage room for the event.

    To find the total number of chairs in the meeting room for the event, we need to add the number of chairs in the main meeting room and the number of chairs brought from the storage room.

    Chairs in the main meeting room = 21
    Chairs brought from the storage room = 22

    Total chairs = Chairs in the main meeting room + Chairs brought from the storage room
    Total chairs = 21 + 22 = <<21+22=43>>43

    Therefore, there are now 43 chairs in the meeting room for the event.

    ### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Follow-up

Problem: Now, instead of starting with 21 chairs in the main meeting room at the community center, suppose they had only 12 chairs. They still supplement with an additional 22 chairs from the storage room for the event. How many chairs are in the meeting room now for the event?

Gemma 2B:

    Let's organize the new information:
    * The main meeting room now has 12 chairs (instead of 21).
    * An additional 22 chairs are still brought from the storage room for the event.

    To find the total number of chairs in the meeting room for the event, we need to add the number of chairs in the main meeting room and the number of chairs brought from the storage room.

    Chairs in the main meeting room = 12
    Chairs brought from the storage room = 22

    Total chairs = Chairs in the main meeting room + Chairs brought from the storage room
    Total chairs = 12 + 22 = <<12+22=34>>34

    Therefore, with the new information, there are now 34 chairs in the meeting room for the event.

    ### Answer: 34

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: There are 14 elephants in a conservation park. This year, 11 new baby elephants were born, and the park received 25 more elephants from various rescues. How many elephants are there in the park now?

Gemma 2B:

    Let's organize the information we have:
    * Initially, there were 14 elephants in the conservation park.
    * 11 new baby elephants were born this year.
    * The park received 25 more elephants from various rescues.

    To find the total number of elephants in the park now, we need to add the initial number of elephants, the new baby elephants, and the rescued elephants.

    Initial elephants + Baby elephants + Rescued elephants = Total elephants now
    14 + 11 + 25 = 50

    Therefore, there are now 50 elephants in the conservation park.

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: Unfortunately, due to unfortunate circumstances, 27 elephants had to be relocated to different parks over the course of the year. How many elephants are left in the park now?

Gemma 2B:

    I understand. Let's update our information:
    * Initially, there were 14 elephants in the conservation park.
    * 11 new baby elephants were born this year.
    * The park received 25 more elephants from various rescues.
    * 27 elephants had to be relocated to different parks over the course of the year.

    We previously calculated that there were 50 elephants in the park after the births and rescues. Now, we need to subtract the number of relocated elephants from this total.

    Total elephants before relocation - Relocated elephants = Elephants left in the park now
    50 - 27 = 23

    Therefore, there are now 23 elephants left in the conservation park.

    ### 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:

    Let's organize the updated information:
    * Initially, there were 38 elephants in the conservation park.
    * 11 new baby elephants were born this year.
    * The park received 25 more elephants from various rescues.

    To find the total number of elephants in the park now, we need to add the initial number of elephants, the new baby elephants, and the rescued elephants.

    Initial elephants + Baby elephants + Rescued elephants = Total elephants now
    38 + 11 + 25 = 74

    Therefore, with the updated initial number of elephants, there would now be 74 elephants in the conservation park.

    ### 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 solve this problem step by step:

    1. Find the number of real stones in the first chest (y):
       * Total stones = 23 emeralds + 30 diamonds = 53
       * Fake stones removed = 39
       * Real stones (y) = 53 - 39 = 14

    2. Calculate the value of the first chest (g):
       * g = y^2 - 37
       * g = 14^2 - 37 = 196 - 37 = 159

    3. Find the number of rubies each pirate gets (x):
       * Total rubies = 540
       * Number of pirates = 45
       * Rubies per pirate (x) = (540 - 3) ÷ 45 = 537 ÷ 45 = 11.93333...
       * Since we can't have a fraction of a ruby, each pirate gets 11 rubies.

    4. Calculate the new value by subtracting the rubies per pirate from the value of the first chest:
       * New value = g - x = 159 - 11 = 148

    5. Find the count of remaining pieces in the second chest (s):
       * Total pieces = 23 pearls + 11 zirconias = 34
       * Damaged pieces discarded = 9
       * Remaining pieces (s) = 34 - 9 = 25

    6. Calculate the final value (m) of the remaining treasure:
       * m = New value - s = 148 - 25 = 123

    ### Answer: 123

Expected answer: 125

Correct? No

🔗 Problem

Problem: There are 6 confirmed UFO sightings in a small city. After a viral event, sightings increase by a daily average obtained by dividing an additional 504 sightings over the next 14 days. Subtract the initial confirmed sightings from this new daily average. Then, multiply it by the result of taking the maximum number of sightings recorded in one day (9) and subtracting the number you would typically dismiss as random (3). How many sightings are there according to this calculation?

Gemma 2B:

    Let's break down the problem and solve it step by step:

    1. Initially, there were 6 confirmed UFO sightings.
    2. After the viral event, there were an additional 504 sightings over the next 14 days.
    3. To find the new daily average, divide the additional sightings by the number of days:
       * New daily average = 504 ÷ 14 = 36 sightings per day

    4. Subtract the initial confirmed sightings from the new daily average:
       * 36 - 6 = 30 sightings

    5. The maximum number of sightings recorded in one day is 9, and the number you would typically dismiss as random is 3. Subtract these values:
       * 9 - 3 = 6

    6. Multiply the result from step 4 by the result from step 5:
       * 30 × 6 = 180 sightings

    ### Answer: 180

Expected answer: 180

Correct? Yes

🔗 Follow-up

Problem: After reconsideration, the investigator noticed a mistake in the calculations. They remembered that the maximum number of sightings recorded in one day was actually 35, not 9. If they corrected their mistake and subtracted 3 from 35 instead, and then multiplied by the previously calculated daily increase, what would be the corrected calculated number of sightings?

Gemma 2B:

    Let's update the calculation based on the corrected information:

    1. Initially, there were 6 confirmed UFO sightings.
    2. After the viral event, there were an additional 504 sightings over the next 14 days.
    3. The new daily average remains the same:
       * New daily average = 504 ÷ 14 = 36 sightings per day

    4. Subtract the initial confirmed sightings from the new daily average (unchanged):
       * 36 - 6 = 30 sightings

    5. The corrected maximum number of sightings recorded in one day is 35, and the number you would typically dismiss as random is 3. Subtract these values:
       * 35 - 3 = 32

    6. Multiply the result from step 4 by the updated result from step 5:
       * 30 × 32 = 960 sightings

    ### 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 solve this problem step by step:

    1. Calculate the number of red patches needed for the design:
       * The design requires 26*25 square patches of red material.
       * 26 * 25 = 650 square patches of red material.
       * She needs to subtract 5 square patches of blue material from this.
       * 650 - 5 = 645 square patches of red material needed for the design.

    2. Calculate the number of green patches in her stock:
       * Her stock of green material is 48*21 square patches.
       * 48 * 21 = 1,008 square patches of green material in her stock.

    3. Find the difference between the green patches and the red patches needed for the design:
       * Difference = Green patches - Red patches needed
       * Difference = 1,008 - 645 = 363 patches

    Therefore, the difference between her stock of green patches and the red patches needed for the design is 363 patches.

    ### Answer: 363

Expected answer: 363

Correct? Yes

🔗 Follow-up

Problem: The blanket maker realized that she made a mistake in her initial calculations. Instead of having 5 patches of blue material, she actually had 27 patches. After correcting her calculations, she subtracted this from 26*25 square patches of red material. Then, she compared this number to her stock of green material, which is 48*21 square patches, by subtracting the number of red patches from the green patches. After making this correction, how many patches is the difference between her stock of green patches and the red patches now required for the design?

Gemma 2B:

    Let's solve this problem step by step with the corrected information:

    1. Calculate the number of red patches needed for the design:
       * The design requires 26*25 square patches of red material.
       * 26 * 25 = 650 square patches of red material.
       * She needs to subtract 27 square patches of blue material from this.
       * 650 - 27 = 623 square patches of red material needed for the design.

    2. Calculate the number of green patches in her stock:
       * Her stock of green material is 48*21 square patches.
       * 48 * 21 = 1,008 square patches of green material in her stock.

    3. Find the difference between the green patches and the red patches needed for the design:
       * Difference = Green patches - Red patches needed
       * Difference = 1,008 - 623 = 385 patches

    Therefore, after making the correction, the difference between her stock of green patches and the red patches now required for the design is 385 patches.

    ### Answer: 385

Expected answer: 385

Correct? Yes

🔗 Problem

Problem: Lemonville is a small village known for its lemon trees. One year, the villagers picked 38 baskets of lemons from the trees near the river and 24 baskets from the ones near an old well. From the trees near the school, they picked 16 more baskets and from the trees near the mayor's house, they picked 13 more baskets. They realized that their lemons were heavier and they could extract more juice so they decided to get 35 baskets to make lemonade. If each basket of lemons could produce 14 bottles of lemonade, how many bottles of lemonade would they get from the remaining baskets?

Gemma 2B:

    Let's organize the information and solve the problem step by step:

    1. Lemons picked from different locations:
       * Near the river: 38 baskets
       * Near the old well: 24 baskets
       * Near the school: 16 baskets
       * Near the mayor's house: 13 baskets

    2. Total baskets of lemons picked:
       * Total baskets = 38 + 24 + 16 + 13 = <<38+24+16+13=91>>91 baskets

    3. Baskets used for making lemonade:
       * Baskets used for lemonade = 35 baskets

    4. Remaining baskets:
       * Remaining baskets = Total baskets - Baskets used for lemonade
       * Remaining baskets = 91 - 35 = <<91-35=56>>56 baskets

    5. Bottles of lemonade from remaining baskets:
       * Each basket produces 14 bottles of lemonade
       * Bottles of lemonade = Remaining baskets × 14
       * Bottles of lemonade = 56 × 14 = <<56*14=784>>784 bottles

    ### Answer: 784 bottles of lemonade would be produced from the remaining baskets.

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:

    Great! Let's update our calculations based on the new information.

    Given:
    - The villagers picked a total of 91 baskets of lemons (from the previous problem).
    - They now need only 23 baskets of lemons to make lemonade, instead of 35.
    - Each basket of lemons can produce 14 bottles of lemonade.

    Step 1: Calculate the new number of remaining baskets.
    New remaining baskets = Total baskets - New baskets used for lemonade
    New remaining baskets = 91 - 23 = <<91-23=68>>68 baskets

    Step 2: Calculate the number of bottles of lemonade from the new remaining baskets.
    Bottles of lemonade = New remaining baskets × Bottles per basket
    Bottles of lemonade = 68 × 14 = <<68*14=952>>952 bottles

    ### Answer: 952 bottles of lemonade would be produced from the remaining baskets now.

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 solve this problem step by step:

    1. Amy found 21 seashells and gave 15 to her sister.
       * Remaining seashells = 21 - 15 = 6

    2. The next day, she found another group of seashells that was 13 more than the remaining 6.
       * Seashells found on the second day = 6 + 13 = 19

    3. Additionally, she found 49 more seashells.
       * Total seashells = Remaining seashells (6) + Seashells found on the second day (19) + Additional seashells (49)
       * Total seashells = 6 + 19 + 49 = 74

    4. Amy gave 23 seashells to her brother and 27 to her cousin.
       * Seashells given away = 23 + 27 = 50
       * Remaining seashells = Total seashells - Seashells given away
       * Remaining seashells = 74 - 50 = 24

    Therefore, Amy has 24 seashells left now.

    ### Answer: 24

Expected answer: 18

Correct? No

🔗 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 solve this problem step by step:

    Round 1:
    - Anna thought of two numbers: 7 and 10
    - She added them together: 7 + 10 = 17
    Round 1 result: 17

    Round 2:
    - Anna thought of a number: 29
    - She subtracted the Round 1 result from 29: 29 - 17 = 12
    - Then she subtracted 8 more from that result: 12 - 8 = 4
    Round 2 result: 4

    Final Round:
    - Anna added the results from Round 1 and Round 2: 17 + 4 = 21
    - Then she multiplied the sum by the Round 2 result: 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:

    Great! Let's solve Princess Bella's game step by step:

    Round 1:
    - Bella added the same two numbers as Anna: 7 and 10
    - She added them together: 7 + 10 = 17
    Round 1 result: 17

    Round 2:
    - Bella thought of the number: 33
    - She subtracted the Round 1 result from 33: 33 - 17 = 16
    - Then she decreased the result by 8: 16 - 8 = 8
    Round 2 result: 8

    Final Round:
    - Bella added the results from Round 1 and Round 2: 17 + 8 = 25
    - Then she multiplied the sum by the Round 2 result: 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:

    Let's solve this problem step by step:

    1. Understand the given information:
       * Ellen had $15 initially.
       * Sam had $48 initially.
       * Sam gave some money to Ellen.
       * After giving the money, Sam had the same amount as Ellen's initial amount ($15).
       * Sam then received $24 from his brother.

    2. Calculate how much money Sam gave to Ellen:
       * Sam's initial amount - Ellen's initial amount = Amount Sam gave to Ellen
       * $48 - $15 = $33
       * So, Sam gave $33 to Ellen.

    3. Calculate how much money Sam has after receiving $24 from his brother:
       * Sam's amount after giving money to Ellen + Money received from his brother = Sam's final amount
       * $15 + $24 = $39

    Therefore, Sam has $39 now.

    ### 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:

    Let's organize the information we have:
    * The river is 33 kilometers long.
    * The tributary adds 19 kilometers to the total length.
    * 30 kilometers of the river are inaccessible.

    Now, let's solve the problem step by step:

    1. Find the total length of the waterway (river + tributary):
       * Total length = 33 km + 19 km = 52 km

    2. Subtract the inaccessible portion from the total length:
       * Accessible length = Total length - Inaccessible portion
       * Accessible length = 52 km - 30 km = 22 km

    Therefore, the scientists were able to study 22 kilometers of the river.

    ### Answer: 22 kilometers

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:

    Great! Let's update our information and solve the problem.

    Given:
    * The scientists were initially able to study 22 kilometers of the river.
    * They received a permit to investigate an additional 32 kilometers that were previously off limits.

    To find the total number of kilometers the scientists were able to study, we need to add the initial accessible length and the additional stretch they received permission to investigate.

    Total accessible length = Initial accessible length + Additional permitted length
    Total accessible length = 22 km + 32 km = 54 km

    Therefore, with the special permit, the scientists were able to study a total of 54 kilometers of the river.

    ### Answer: 54 kilometers

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Suppose instead that the inaccessible portion of the river that the scientists were unable to study was 26 kilometers, not 30. How many kilometers of the river would they have been able to study under these conditions?

Gemma 2B:

    Okay, let's update the information based on the new scenario:
    * The river is 33 kilometers long.
    * The tributary adds 19 kilometers to the total length.
    * 26 kilometers of the river are inaccessible.

    Now, let's solve the problem step by step:

    1. Find the total length of the waterway (river + tributary):
       * Total length = 33 km + 19 km = 52 km

    2. Subtract the inaccessible portion from the total length:
       * Accessible length = Total length - Inaccessible portion
       * Accessible length = 52 km - 26 km = 26 km

    Therefore, under these new conditions, the scientists would have been able to study 26 kilometers of the river.

    ### Answer: 26 kilometers

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 organize the information and solve the problem step by step:

    Photographer 1:
    - Took 34 shots at a wedding
    - Removed 19 out of focus shots
    - Remaining shots from the wedding: 34 - 19 = 15
    - Took 21 shots at a different event
    - Took 23 shots at a third event
    - Total shots in Photographer 1's collection: 15 + 21 + 23 = 59

    Photographer 2:
    - Took 880 shots at a large event
    - Selected every 40th shot for his collection
    - Number of shots in Photographer 2's collection: 880 ÷ 40 = 22

    Total number of shots in their collections combined:
    59 + 22 = 81

    ### 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 information for Photographer 2 and solve the problem:

    Photographer 1 (unchanged):
    - Total shots in Photographer 1's collection: 59

    Photographer 2 (updated):
    - Took 880 shots at a large event
    - Selected every 28th shot for his collection
    - Number of shots in Photographer 2's collection: 880 ÷ 28 = 31 remainder 12
      (The photographer will have 31 complete sets of 28 shots, and the remaining 12 shots will not be included in the collection)

    Total number of shots in their collections combined:
    59 + 31 = 90

    ### 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:

    Let's solve this problem step by step:

    1. The pirate's previous loot was 13 gold coins.
    2. The treasure chest contained 3 times the amount of his previous loot.
       * New loot = 3 × 13 = 39 gold coins

    3. The pirate spent 22 coins on the crew's rum.
       * Remaining coins after spending = 39 - 22 = 17 gold coins

    4. The pirate discovered another loot of 47 gold coins.
       * Total coins after the new discovery = 17 + 47 = 64 gold coins

    Therefore, the pirate now has 64 gold coins.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Recall the pirate's adventure. But let's say, originally the treasure chest he found had 42 times the amount of his previous loot of 13 gold coins instead of 3 times. After spending 22 of these coins for the crew's rum, and discovering another loot of 47 gold coins, how many gold coins does the pirate have now?

Gemma 2B:

    Alright, let's solve this problem with the updated information:

    1. The pirate's previous loot was 13 gold coins.
    2. The treasure chest contained 42 times the amount of his previous loot.
       * New loot = 42 × 13 = 546 gold coins

    3. The pirate spent 22 coins on the crew's rum.
       * Remaining coins after spending = 546 - 22 = 524 gold coins

    4. The pirate discovered another loot of 47 gold coins.
       * Total coins after the new discovery = 524 + 47 = 571 gold coins

    Therefore, with the updated information, the pirate now has 571 gold coins.

    ### Answer: 571

Expected answer: 571

Correct? Yes

🔗 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 organize the information we have:
    * The hiker traveled an average of 900 miles in 36 days.
    * He increases his daily average to 16 miles, which reduces his remaining journey by a certain number of days.
    * He finds a shortcut that saves him an additional 4 days.
    * A friendly traveller advises him of another path that will save him 40 days.
    * He also saves 21 days due to good weather.

    To find the total number of days saved, we need to calculate the number of days saved by increasing his daily average.

    1. Calculate the hiker's original daily average:
       * Original daily average = 900 miles ÷ 36 days = 25 miles per day

    2. Calculate the number of days saved by increasing his daily average to 16 miles:
       * Days saved = (900 miles - (36 days × 16 miles per day)) ÷ (25 miles per day - 16 miles per day)
       * Days saved = (900 miles - 576 miles) ÷ (25 miles per day - 16 miles per day)
       * Days saved = 324 miles ÷ 9 miles per day = 36 days

    3. Sum up all the days saved:
       * Total days saved = Days saved by increasing daily average + Days saved by shortcut + Days saved by traveller's advice + Days saved due to good weather
       * Total days saved = 36 days + 4 days + 40 days + 21 days = 101 days

    ### Answer: The hiker saved a total of 101 days on his journey.

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:

    Let's organize the given information:
    * The company produces 33 pillows every hour.
    * They operate round the clock, which means 24 hours a day.
    * They incurred a loss of 43 pillows due to machine errors in a day.

    Now, let's solve the problem step by step:

    1. Calculate the total number of pillows produced in a day without considering the losses:
       * Pillows produced per day = Pillows per hour × Number of hours in a day
       * Pillows produced per day = 33 × 24 = <<33*24=792>>792 pillows

    2. Subtract the number of pillows lost due to machine errors from the total pillows produced:
       * Pillows manufactured after accounting for losses = Total pillows produced - Pillows lost
       * Pillows manufactured after accounting for losses = 792 - 43 = <<792-43=749>>749 pillows

    Therefore, the company manufactured a total of 749 pillows in a day after accounting for the losses.

    ### 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:

    Let's organize the updated information:
    * The company now produces 24 pillows every hour.
    * They operate round the clock, which means 24 hours a day.
    * They still incur a loss of 43 pillows due to machine errors in a day.

    Now, let's solve the problem step by step:

    1. Calculate the total number of pillows produced in a day without considering the losses:
       * Pillows produced per day = Pillows per hour × Number of hours in a day
       * Pillows produced per day = 24 × 24 = <<24*24=576>>576 pillows

    2. Subtract the number of pillows lost due to machine errors from the total pillows produced:
       * Pillows manufactured after accounting for losses = Total pillows produced - Pillows lost
       * Pillows manufactured after accounting for losses = 576 - 43 = <<576-43=533>>533 pillows

    Therefore, with the adjusted production rate, the company manufactured a total of 533 pillows in a day after accounting for the losses.

    ### 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:

    Let's solve this problem step by step:

    1. Understand the given information:
       * One wing of the castle has 5 rooms.
       * The other wing has 216 bricks.
       * According to the strange rule, one room is equivalent to 36 bricks.

    2. Convert the number of bricks in the other wing to the number of rooms:
       * Number of rooms in the other wing = Number of bricks ÷ Bricks per room
       * Number of rooms in the other wing = 216 ÷ 36
       * Number of rooms in the other wing = <<216/36=6>>6 rooms

    3. Calculate the total number of rooms in both wings:
       * Total rooms = Rooms in one wing + Rooms in the other wing
       * Total rooms = 5 + 6
       * Total rooms = <<5+6=11>>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:

    Great! Let's solve this problem by adding the newly discovered rooms to our previous calculation.

    Given:
    * The castle has 5 rooms in one wing.
    * The other wing has 216 bricks, which is equivalent to 6 rooms (as calculated in the previous problem).
    * The hidden underground passage has 9 rooms.

    Now, let's calculate the total number of rooms in the castle:

    1. Sum up the rooms from all three parts of the castle:
       * Total rooms = Rooms in one wing + Rooms in the other wing + Rooms in the underground passage
       * Total rooms = 5 + 6 + 9
       * Total rooms = <<5+6+9=20>>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:

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

    1. Understand the new information:
       * The first wing of the castle actually has 35 rooms, not 5.
       * The other wing still has 216 bricks.
       * The strange rule remains the same: one room is equivalent to 36 bricks.
       * We need to find the total number of rooms in both wings, excluding the underground passage rooms.

    2. Convert the number of bricks in the other wing to the number of rooms (this step remains the same as before):
       * Number of rooms in the other wing = Number of bricks ÷ Bricks per room
       * Number of rooms in the other wing = 216 ÷ 36
       * Number of rooms in the other wing = <<216/36=6>>6 rooms

    3. Calculate the new total number of rooms in both wings:
       * Total rooms = Rooms in the first wing + Rooms in the other wing
       * Total rooms = 35 + 6
       * Total rooms = <<35+6=41>>41 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 solve this problem step by step:

    1. Calculate the total number of goals scored by the player initially:
       * The player scored 15 goals each over 31 matches.
       * Total goals = 15 × 31 = 465 goals

    2. Subtract the goals that were discounted due to an error:
       * Discounted goals = 43
       * Remaining goals after discount = 465 - 43 = 422 goals

    3. Add the goals that were awarded back to the player after rectifying the error:
       * Goals awarded back = 40
       * Total goals after correction = 422 + 40 = 462 goals

    4. Subtract the goals that were deducted after the reevaluation of the matches:
       * Goals deducted = 26
       * Final number of goals = 462 - 26 = 436 goals

    Therefore, the player ends up with 436 goals.

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Follow-up

Problem: The player from the previous question, with his total number of goals determined, got involved in a contest where the goal tally he had counted as points with a multiplier attached. If that multiplier was 1, how many points did he get in the contest?

Gemma 2B:

    In the previous question, we determined that the player ended up with 436 goals.

    Now, in the contest, the player's goal tally is counted as points with a multiplier of 1.

    To calculate the points the player got in the contest, we simply multiply the number of goals by the multiplier:

    Points in the contest = Number of goals × Multiplier
    Points in the contest = 436 × 1 = 436 points

    Therefore, the player got 436 points in the contest.

    ### Answer: 436

Expected answer: 436

Correct? Yes

🔗 Problem

Problem: An aquarium has 9 tanks, each with 49 fish. However, 5 of the fish in one tank are relocated. What is the new total number of fish in the aquarium?

Gemma 2B:

    Let's solve this step by step:

    1. Find the total number of fish in the aquarium before the relocation:
       * There are 9 tanks, each with 49 fish.
       * Total number of fish = 9 × 49 = 441 fish

    2. Find the number of fish after the relocation:
       * 5 fish are relocated from one tank.
       * Number of fish after relocation = 441 - 5 = 436 fish

    Therefore, the new total number of fish in the aquarium after the relocation is 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:

    Okay, let's solve this new situation step by step:

    1. Find the total number of fish in the aquarium before the relocation:
       * There are 9 tanks, each with 47 fish.
       * Total number of fish = 9 × 47
       * Total number of fish = 423 fish

    2. Find the number of fish after the relocation:
       * 5 fish are relocated from one tank.
       * Number of fish after relocation = 423 - 5
       * Number of fish after relocation = 418 fish

    Therefore, in this new situation, the total number of fish in the aquarium after the relocation would be 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:

    Let's solve this problem step by step:

    1. Jeremy starts with 14 cards.

    2. He discards 19 of his cards. However, this is not possible because he only has 14 cards. We can assume that he discards all 14 of his cards.
       * Cards remaining after discarding: 14 - 14 = 0

    3. He then gains 32 more cards from the deck.
       * Cards after gaining from the deck: 0 + 32 = 32

    Therefore, Jeremy now has 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 down the problem and solve it step by step:

    1. Find the rate of the first clock's ticks per minute:
       * The first clock ticks 504 times in 42 minutes.
       * Rate of the first clock = 504 ÷ 42 = <<504/42=12>>12 ticks per minute

    2. Find the rate of the second clock's ticks per minute:
       * The second clock ticks 279 times in 31 minutes.
       * Rate of the second clock = 279 ÷ 31 = <<279/31=9>>9 ticks per minute

    3. Add 34 to the rate of the second clock's ticks per minute:
       * New rate of the second clock = 9 + 34 = <<9+34=43>>43 ticks per minute

    4. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it:
       * Manipulated rate of the first clock = (12 × 35) - 41
       * Manipulated rate of the first clock = <<12*35=420>>420 - 41 = <<420-41=379>>379 ticks per minute

    5. Subtract the new rate of the second clock from the manipulated rate of the first clock:
       * Final value = 379 - 43 = <<379-43=336>>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:

    I apologize for the confusion. Let's solve the problem with the corrected information.

    1. Find the rate of the first clock's ticks per minute (unchanged):
       * The first clock ticks 504 times in 42 minutes.
       * Rate of the first clock = 504 ÷ 42 = <<504/42=12>>12 ticks per minute

    2. Find the rate of the second clock's ticks per minute (updated):
       * The second clock ticks 279 times in 2 minutes.
       * Rate of the second clock = 279 ÷ 2 = <<279/2=139.5>>139.5 ticks per minute

    3. Add 34 to the rate of the second clock's ticks per minute:
       * New rate of the second clock = 139.5 + 34 = <<139.5+34=173.5>>173.5 ticks per minute

    4. Multiply the first clock's ticks per minute by 35 and then subtract 41 from it (unchanged):
       * Manipulated rate of the first clock = (12 × 35) - 41
       * Manipulated rate of the first clock = <<12*35=420>>420 - 41 = <<420-41=379>>379 ticks per minute

    5. Subtract the new rate of the second clock from the manipulated rate of the first clock:
       * Final value = 379 - 173.5 = <<379-173.5=205.5>>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:

    Let's organize the information we have:
    * On Tuesday, the rainfall was 39 cm.
    * On Wednesday, the rainfall decreased by 6 cm compared to Tuesday.
    * On Thursday, the rainfall decreased by 31 cm compared to Wednesday.

    To find the rainfall on Thursday, we need to:
    1. Calculate the rainfall on Wednesday by subtracting 6 cm from Tuesday's rainfall.
    2. Calculate the rainfall on Thursday by subtracting 31 cm from Wednesday's rainfall.

    Step 1: Rainfall on Wednesday
    * Tuesday's rainfall = 39 cm
    * Decrease in rainfall on Wednesday = 6 cm
    * Rainfall on Wednesday = 39 cm - 6 cm = 33 cm

    Step 2: Rainfall on Thursday
    * Wednesday's rainfall = 33 cm
    * Decrease in rainfall on Thursday = 31 cm
    * Rainfall on Thursday = 33 cm - 31 cm = 2 cm

    ### Answer: 2 cm

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:

    Let's organize the information and solve the problem step by step:

    1. In the first month, the enthusiast reported 50 UFO sightings.
    2. Out of these 50 sightings, 36 were actually meteors.
    3. So, the actual number of UFO sightings in the first month was: 50 - 36 = 14.

    Now, let's calculate the number of UFO sightings reported in the second month:

    1. The enthusiast reported seeing 41 UFOs.
    2. Plus an amount equal to the actual number of UFO sightings from the previous month, which is 14.
    3. And an additional 5 sightings.

    So, the total number of UFO sightings reported in the second month is:
    41 + 14 + 5 = <<41+14+5=60>>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 organize the information and solve the problem step by step:

    1. In the first game, the cat accumulated 5 yarn balls.

    2. In the second game, the cat got the square of the number of balls from the first game plus 8 more.
       * Number of balls in the second game = 5^2 + 8
       * Number of balls in the second game = 25 + 8 = 33

    3. In the third game, the cat ended up with a number of balls equal to 25 times the difference between 45 and the number of balls from the second game.
       * Number of balls in the third game = 25 × (45 - 33)
       * Number of balls in the third game = 25 × 12 = 300

    Therefore, the cat has 300 yarn balls at the end of the third game.

    ### 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:

    Alright, let's solve this problem with the updated information:

    1. In the first game, the cat accumulated 5 yarn balls.

    2. In the second game, the cat got the square of the number of balls from the first game plus 8 more.
       * Number of balls in the second game = 5^2 + 8
       * Number of balls in the second game = 25 + 8 = 33

    3. In the third game, the cat ended up with a number of balls equal to 6 times the difference between 45 and the number of balls from the second game.
       * Number of balls in the third game = 6 × (45 - 33)
       * Number of balls in the third game = 6 × 12 = 72

    Therefore, with the updated information, the cat has 72 yarn balls at the end of the third game.

    ### 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 organize the information we have:
    * The basket initially contains 41 balls.
    * The balls are either tennis balls or cricket balls.
    * If we remove 16 balls from the basket, we are left with only cricket balls.
    * 9 ping pong balls and 21 basketballs are added to the basket.

    Now, let's solve the problem step by step:

    1. Find the number of cricket balls in the basket:
       - Initially, there are 41 balls in the basket.
       - If we remove 16 balls, we are left with only cricket balls.
       - So, the number of cricket balls = 41 - 16 = 25

    2. Find the number of tennis balls in the basket:
       - Total balls = 41
       - Cricket balls = 25
       - Tennis balls = Total balls - Cricket balls = 41 - 25 = 16

    3. Calculate the total number of balls after adding ping pong and basketballs:
       - Initial total = 41
       - Ping pong balls added = 9
       - Basketballs added = 21
       - Final total = Initial total + Ping pong balls + Basketballs
                    = 41 + 9 + 21
                    = 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 and solve it step by step:

    1. First, let's find out how many squares are needed for the hours:
       * Total hours = 37
       * Squares already completed = 32
       * Remaining squares = 37 - 32 = 5
       * After adding 42 and subtracting 37: 5 + 42 - 37 = 10 squares for hours

    2. Now, let's calculate the squares needed for minutes and seconds:
       * Squares for minutes = 25
       * Squares for seconds = 28
       * Total squares for minutes and seconds = 25 + 28 = 53

    3. Your friend added 41, 28, and 17 to the total squares for minutes and seconds:
       * 53 + 41 + 28 + 17 = 139 squares

    4. They decided to reduce the total number of squares by 23:
       * 139 - 23 = 116 squares

    5. Finally, they added the number of squares for hours to the reduced number:
       * 116 + 10 = 126 squares

    Therefore, your friend would need a total of 126 squares to complete their quirky clock.

    ### Answer: 126

Expected answer: 98

Correct? No

🔗 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:

    Let's organize the information and solve the problem step by step:
    * The farm typically produces 28 pounds of oranges in a single day.
    * Due to a new method, they produced 2 times the typical amount.
    * The harvest period lasted for 15 days.
    * They added 16 pounds of a rare orange variant to the total harvest.

    Now, let's calculate:
    1. Daily production with the new method:
       * Typical daily production = 28 pounds
       * New daily production = 2 × 28 = <<2*28=56>>56 pounds

    2. Total production during the 15-day harvest period:
       * Total production = New daily production × Number of days
       * Total production = 56 × 15 = <<56*15=840>>840 pounds

    3. Total production including the rare orange variant:
       * Total production = Production during harvest period + Rare orange variant
       * Total production = 840 + 16 = <<840+16=856>>856 pounds

    ### Answer: 856 pounds

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:

    Great! Let's solve this problem using the same approach as before, but with the new daily output of 7 pounds.

    Given:
    * The farm's original daily output is 7 pounds.
    * They can double this amount each day during the harvest period.
    * The harvest period lasts for 15 days.
    * They add 16 pounds of a rare orange variant to the total harvest.

    Step 1: Calculate the daily production with the doubling method.
    * Original daily output = 7 pounds
    * New daily production = 2 × 7 = <<2*7=14>>14 pounds

    Step 2: Calculate the total production during the 15-day harvest period.
    * Total production = New daily production × Number of days
    * Total production = 14 × 15 = <<14*15=210>>210 pounds

    Step 3: Add the rare orange variant to the total production.
    * Total production = Production during harvest period + Rare orange variant
    * Total production = 210 + 16 = <<210+16=226>>226 pounds

    ### Answer: 226 pounds

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:

    Let's solve this problem step by step:

    1. Find the number of passengers remaining on the bus:
       * Initial number of passengers = 37
       * Passengers who got on at the next stop = 20
       * Passengers who got off before the next stop = 44
       * Remaining passengers = 37 + 20 - 44 = <<37+20-44=13>>13

    2. Calculate the total fare collected from the remaining passengers:
       * Fare per passenger = $11
       * Total fare = 13 × $11 = $<<13*11=143>>143

    3. Deduct the service fee from the total fare:
       * Service fee = $14
       * Revenue = Total fare - Service fee
       * Revenue = $143 - $14 = $<<143-14=129>>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:

    Let's continue from the previous problem and calculate the final revenue after paying the parking fee.

    Given:
    - The bus company's revenue after collecting fares and deducting the service fee was $129.
    - The company had to pay a $23 parking fee for the bus at the end of the day.

    To find the final revenue, we need to subtract the parking fee from the previous revenue:

    Final revenue = Previous revenue - Parking fee
    Final revenue = $129 - $23 = $<<129-23=106>>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:

    Let's solve this problem step by step:

    1. Find the number of passengers remaining on the bus:
       * Initial number of passengers = 28
       * Passengers who got on at the next stop = 20
       * Passengers who got off before the next stop = 44
       * Remaining passengers = 28 + 20 - 44 = <<28+20-44=4>>4

    2. Calculate the total fare collected from the remaining passengers:
       * Fare per passenger = $11
       * Total fare = 4 × $11 = $<<4*11=44>>44

    3. Deduct the service fee from the total fare:
       * Service fee = $14
       * Revenue = Total fare - Service fee
       * Revenue = $44 - $14 = $<<44-14=30>>30

    However, the revenue cannot be negative. If the total fare is less than the service fee, the bus company will not deduct the service fee and will simply have a revenue of $0.

    Since $44 > $14, the bus company will deduct the service fee.

    ### Answer: $30

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: A pirate found a treasure chest with 13 emeralds, 42 rubies, and 19 sapphires. He gave away 43 of these precious gems to his crewmates. How many gems did the pirate have left?

Gemma 2B:

    Let's organize the information we have:
    * The pirate found:
      - 13 emeralds
      - 42 rubies
      - 19 sapphires
    * The pirate gave away 43 gems to his crewmates.

    To find out how many gems the pirate had left, we need to:
    1. Calculate the total number of gems the pirate found.
    2. Subtract the number of gems he gave away from the total.

    Step 1: Calculate the total number of gems
    * Total gems = Emeralds + Rubies + Sapphires
    * Total gems = 13 + 42 + 19 = 74

    Step 2: Subtract the number of gems he gave away
    * Remaining gems = Total gems - Gems given away
    * Remaining gems = 74 - 43 = 31

    Therefore, the pirate had 31 gems left.

    ### 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:

    Let's solve this problem step by step:

    1. Initially, the reserve had 16 ginger giraffes.

    2. They brought in the same number of golden giraffes as they had ginger ones.
       * Number of golden giraffes = 16

    3. Total number of giraffes after adding golden giraffes:
       * Total giraffes = Ginger giraffes + Golden giraffes
       * Total giraffes = 16 + 16 = 32

    4. Later, they added another group of 46 greyish giraffes.
       * Total giraffes now = Previous total + Greyish giraffes
       * Total giraffes now = 32 + 46 = 78

    Therefore, the total number of giraffes in the reserve now is 78.

    ### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: After successfully populating the reserve with various giraffes, unfortunately, 2 of the greyish giraffes suddenly moved out of the reserve. How many giraffes are there now in the reserve after the 2 greyish giraffes left?

Gemma 2B:

    Let's continue from the previous problem and solve this step by step:

    1. From the previous problem, we know that there were 78 giraffes in the reserve, which included:
       * 16 ginger giraffes
       * 16 golden giraffes
       * 46 greyish giraffes

    2. Now, 2 of the greyish giraffes have left the reserve.
       * Remaining greyish giraffes = Previous greyish giraffes - 2
       * Remaining greyish giraffes = 46 - 2 = 44

    3. Total number of giraffes in the reserve after 2 greyish giraffes left:
       * Total giraffes = Ginger giraffes + Golden giraffes + Remaining greyish giraffes
       * Total giraffes = 16 + 16 + 44 = 76

    Therefore, after 2 greyish giraffes left the reserve, there are now 76 giraffes in the reserve.

    ### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the original scenario where the reserve started with ginger giraffes. But this time assume that the reserve initially had 42 ginger giraffes instead of 16. They again brought in the same number of golden giraffes as the ginger ones. Later, they decided to add another group of 46 greyish giraffes. What would be the total number of giraffes in the reserve now under this new scenario?

Gemma 2B:

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

    1. Initially, the reserve had 42 ginger giraffes.

    2. They brought in the same number of golden giraffes as they had ginger ones.
       * Number of golden giraffes = 42

    3. Total number of giraffes after adding golden giraffes:
       * Total giraffes = Ginger giraffes + Golden giraffes
       * Total giraffes = 42 + 42 = 84

    4. Later, they added another group of 46 greyish giraffes.
       * Total giraffes now = Previous total + Greyish giraffes
       * Total giraffes now = 84 + 46 = 130

    Therefore, under the new scenario where the reserve initially had 42 ginger giraffes, the total number of giraffes in the reserve would be 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 solve this problem step by step:

    1. Find the number of leagues the turtle thought it swam in one day:
       * The turtle thought it swam 11 + 10 leagues in one day.
       * 11 + 10 = 21 leagues

    2. Find the total distance the turtle thought it swam in a week:
       * The turtle multiplied the daily distance by 16 to get the total distance for the week.
       * 21 × 16 = 336 leagues

    3. Find the real distance the turtle swam that week:
       * The turtle realized it had over calculated the distance by 41 leagues.
       * Real distance = Calculated distance - Over calculated distance
       * Real distance = 336 - 41 = 295 leagues

    ### Answer: 295 leagues.

Expected answer: 295

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, consider that the turtle realizes that it originally miscalculated the daily travel distance. Instead of swimming 11 leagues plus 10 a day, it actually swam 11 leagues plus 17 leagues a day. After multiplying that daily total by 16 for the week, and subtracting the over-calculated 41 leagues, how much did the turtle actually swim in the originally estimated week?

Gemma 2B:

    Okay, let's solve this problem step by step with the updated information:

    1. Find the actual number of leagues the turtle swam in one day:
       * The turtle actually swam 11 + 17 leagues in one day.
       * 11 + 17 = 28 leagues

    2. Find the total distance the turtle swam in a week:
       * The turtle multiplied the daily distance by 16 to get the total distance for the week.
       * 28 × 16 = 448 leagues

    3. Find the real distance the turtle swam that week after subtracting the over-calculated leagues:
       * The turtle had over calculated the distance by 41 leagues.
       * Real distance = Calculated distance - Over calculated distance
       * Real distance = 448 - 41 = 407 leagues

    ### Answer: 407 leagues.

Expected answer: 407

Correct? Yes