🔗 Problem

Problem: John has 12 tables. Each table requires 8 chairs. How many chairs does John need to accommodate all the tables?

Gemma 2B:

    Reasoning: Since each table needs 8 chairs, John needs 12 tables * 8 chairs/table = 96 chairs.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Suppose now, John only has 2 tables instead of 12. Using the same number of chairs per table, how many chairs would John need now to accommodate these tables?

Gemma 2B:

    Reasoning: With 2 tables and 8 chairs per table, John would need 2 tables * 8 chairs/table = 16 chairs.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: In a magical fairy world, there are 4 fairies per house and 3 houses in a cluster. Each fairy creates 5 magic dust particles a day. How many magic dust particles are created in one day by all the fairies in a cluster?

Gemma 2B:

    Reasoning: There are 4 fairies/house * 3 houses/cluster = 12 fairies in a cluster.
    Each fairy creates 5 magic dust particles a day, so all the fairies in a cluster create 12 fairies * 5 particles/fairy = 60 magic dust particles in a day.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: In the magical fairy world, each magic dust particle created lasts for 1 whole week. How many magic dust particles will be available in a cluster of houses after a week?

Gemma 2B:

    Reasoning: Since each magic dust particle lasts for a whole week, all the particles created in a week will still be available.
    Therefore, there will be 60 magic dust particles available in a cluster of houses after a week.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: Previously, we discovered that each fairy creates 5 magic dust particles a day. But what happens if instead, each fairy creates 8 magic dust particles a day? How many magic dust particles are then created in one day by all the fairies in a cluster?

Gemma 2B:

    Reasoning: We already know there are 12 fairies in a cluster.
    If each fairy creates 8 magic dust particles a day, then all the fairies in a cluster create 12 fairies * 8 particles/fairy = 96 magic dust particles in a day.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: Harry has 9 sets of building blocks, each set contains 7 blocks. How many building blocks does Harry have in total?

Gemma 2B:

    Reasoning: Harry has 9 sets of blocks, and each set has 7 blocks, so he has a total of 9 x 7 = <<9*7=63>>63 blocks.
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

Problem: In the zoo, there are 12 peacocks in every enclosure. If there are 4 enclosures, how many peacocks are in the zoo in total?

Gemma 2B:

    Reasoning: If there are 12 peacocks in each enclosure, and there are 4 enclosures, the total number of peacocks is 12 peacocks/enclosure * 4 enclosures = 48 peacocks.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: Let's imagine that instead of 4 enclosures, the zoo originally had 7 enclosures. The same rule was followed: 12 peacocks were placed in each enclosure. How many peacocks would there be in the zoo in this scenario?

Gemma 2B:

    Reasoning:  If the zoo had 7 enclosures, with 12 peacocks per enclosure, the total number of peacocks would be 7 enclosures * 12 peacocks/enclosure = 84 peacocks.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: There are 24 children at the park and want to play on the jungle gym. If each jungle gym can accommodate 12 children at a time, how many turns must they take so that everyone gets a chance to play?

Gemma 2B:

    Reasoning: Since each jungle gym can hold 12 children, and there are 24 children, they will need to take 24/12 = <<24/12=2>>2 turns.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Suppose now that there are 24 children at the park, but the jungle gym has been upgraded and can now accommodate 2 children at a time. How many turns would they now need to make sure everyone gets a chance to play?

Gemma 2B:

    Reasoning: With the new jungle gym,  there are 24 children and each turn can accommodate 2 children,  they will need 24/2 = <<24/2=12>> 12 turns.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: On the farm, there are 7 groups of chicks. Each group consists of just 1 chick. The farmer then brought 9 times that amount of chicks. How many chicks did the farmer bring?

Gemma 2B:

    Reasoning:  The farmer initially had 7 groups * 1 chick/group = 7 chicks.
    The farmer brought 9 * 7 = 63 chicks.
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Follow-up

Problem: Initially, there were around 7 groups of chicks on the farm, with each group consisting of just 1 chick. But what if the farmer's original flock was smaller? Let's say he initially started with 4 times that amount of chicks. How many chicks would he have started with then?

Gemma 2B:

    Reasoning: If the farmer initially had 7 groups * 1 chick/group = 7 chicks, and he started with 4 times that amount, he would have had 4 * 7 = 28 chicks.
    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

Problem: Mr. Hansen, a very organized teacher, likes to keep ten copies of each handout for his class. If he is preparing a new handout for the next class, how many copies will he make?

Gemma 2B:

    Mr. Hansen wants to make ten copies of the new handout.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: Following the first problem, let's assume that Mr. Hansen changed his mind and decided to make only four copies of each handout instead of ten for his next class. How many copies of the handout will he now prepare?

Gemma 2B:

    Mr. Hansen decided to make only four copies of the new handout.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A snowman has a top hat that is 5 inches tall. The snowman himself, without his hat, is 4 times as tall as his hat. How tall is the snowman without his hat?

Gemma 2B:

    Reasoning: The snowman is 5 * 4 = <<5*4=20>>20 inches tall without his hat.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: In the initial scenario, the snowman without his hat was 4 times as tall as his 5-inch hat, giving us a snowman's height of 20 inches. Now, in our revised scenario, let's consider that the snowman without his hat is instead only 4 times as tall as a 2-inch hat. How tall is the snowman without his hat in this new scenario?

Gemma 2B:

    Reasoning: If the snowman is 4 times as tall as his 2-inch hat, then he is 2 * 4 = 8 inches tall without the hat.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a video game, Susan collected 45 diamonds. If she divided those diamonds evenly among her 9 game characters, how many diamonds does each character get?

Gemma 2B:

    Reasoning:  If Susan divides her 45 diamonds evenly among her 9 characters, each character will receive 45/9 = 5 diamonds.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Suppose initially, Susan had only found 12 diamonds instead of 45. If she still divided those diamonds evenly among her 9 game characters, how many diamonds would each character receive then?

Gemma 2B:

    Reasoning: If Susan divides her 12 diamonds evenly among her 9 characters, each character would receive 12/9 = 1.333 diamonds. Since we can't have fractions of diamonds in a game, each character would receive 1 diamond, with 3 diamonds leftover.

    ### Answer: 1

Expected answer: 4/3

Correct? No

🔗 Problem

Problem: Jim has 12 guitar picks. He divided them equally among his 12 bandmates. How many guitar picks did each bandmate get?

Gemma 2B:

    Reasoning: If Jim has 12 guitar picks and divides them equally among 12 bandmates, each bandmate receives 12/12 = 1 pick.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: After dividing his guitar picks among his bandmates, Jim got a package from a fan. In the package, there were 11 more sets of guitar picks, each set having the same number of picks as each bandmate initially received. How many guitar picks were there in the package?

Gemma 2B:

    Reasoning: We know each bandmate received 1 guitar pick initially.  Jim received 11 sets of picks, and each set has 1 pick, so there are 11*1=11 picks in the package.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Considering the scenario when Jim initially had 12 guitar picks but instead of dividing them among 12 bandmates, he divided them among 6 bandmates. How many guitar picks did each bandmate get?

Gemma 2B:

    Reasoning: If Jim has 12 guitar picks and divides them equally among 6 bandmates, each bandmate receives 12/6 = 2 picks.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Suzie has 5 aquariums. Each aquarium has 12 fish. How many fish does Suzie have in total?

Gemma 2B:

    Suzie has a total of 5 aquariums * 12 fish/aquarium = 60 fish.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: After buying the new batch, Suzie realized her first count was wrong. She actually started with 4 aquariums, not 5, before she bought the new fish. With each aquarium having 12 fish, how many fish did Suzie initially have?

Gemma 2B:

    Suzie initially had 4 aquariums * 12 fish/aquarium = 48 fish.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A pirate found a treasure map. The map indicated that the treasure chest was buried at a spot marked by 2 stones multiplied by 9. How many stones mark the hiding place of the treasure chest?

Gemma 2B:

    Reasoning: The map indicates 2 stones multiplied by 9, which means there are 2 * 9 = 18 stones marking the treasure chest.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: The pirate, now intrigued, discovered a third map in the larger treasure chest. This map was slightly different, indicating that the next treasure chest was marked by a spot identified not by 2 stones multiplied by 9, but by 3 stones multiplied by 9. How many stones mark the hiding spot of this third treasure chest?

Gemma 2B:

    Reasoning: The new map indicates 3 stones multiplied by 9, meaning there are 3 * 9 = 27 stones marking the treasure chest.

    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Problem

Problem: A special type of butterfly lays eggs in batches of 6. If a butterfly lays 4 batches of eggs, how many eggs does she lay in total?

Gemma 2B:

    Reasoning: Since the butterfly lays 6 eggs per batch and she lays 4 batches, she lays 6*4 = <<6*4=24>> eggs in total.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: After further research, it was discovered that the butterfly was actually laying eggs in batches of 4 instead of 6 as previously thought. If there were still 4 batches of eggs, how many eggs would the butterfly have laid in total then?

Gemma 2B:

    Reasoning:  If the butterfly lays 4 eggs per batch and lays 4 batches, then she lays 4*4 = <<4*4=16>> eggs in total.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Anna has 54 feathers she wants to use to stuff some pillows. If each pillow needs 9 feathers, how many pillows can she stuff?

Gemma 2B:

    Reasoning: Anna can stuff 54/9 = <<54/9=6>> pillows.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problem, Anna managed to stuff the pillows with the 54 feathers. If each stuffed pillow now needs to be sewn with 8 buttons, how many buttons will Anna need in total?

Gemma 2B:

    Reasoning: Anna needs 6 x 8 = <<6*8=48>> buttons.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: Tom has 1 strawberry plant. Each strawberry plant can produce 9 strawberries. How many strawberries can Tom's plant produce?

Gemma 2B:

    Tom has 1 plant and each plant produces 9 strawberries, so he can produce 1 * 9 = 9 strawberries.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Continuing from the earlier problem, let's say now Tom decides to increase his strawberry plant count to 5 plants. Given that each plant can produce 9 strawberries without any fertilizer, how many strawberries can all of Tom's plants now produce together?

Gemma 2B:

    Tom has 5 plants, and each plant produces 9 strawberries, so he can produce 5 * 9 = 45 strawberries.

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Problem

Problem: In a large mansion, each room has 8 fireplaces. If there are 96 fireplaces in total, how many rooms are there in the mansion?

Gemma 2B:

    Reasoning:  To find the number of rooms, we need to divide the total number of fireplaces by the number of fireplaces in each room.

    So, there are 96 fireplaces / 8 fireplaces per room = <<96/8=12>> 12 rooms in the mansion.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Following the last question, if each room in the mansion requires 7 workers to clean all of the fireplaces, how many workers are needed in total to clean all the fireplaces in the mansion?

Gemma 2B:

    Reasoning: Since there are 12 rooms and each room requires 7 workers, we need to multiply the number of rooms by the number of workers per room.

    Therefore, we need 12 rooms * 7 workers per room = <<12*7=84>> 84 workers in total.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: John has 10 boxes he needs to transport in a truck. However, his truck can only hold 5 boxes at a time. How many trips does he need to make to transport all the boxes?

Gemma 2B:

    Reasoning: John needs to make 10 boxes / 5 boxes per trip = <<10/5=2>> 2 trips to transport all the boxes.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: John has finished his trips and transported all the boxes. However, he realizes that each round trip he makes consumes 6 liters of fuel. How many liters of fuel has he used to make all of his trips?

Gemma 2B:

    Reasoning: John made 2 trips, and each trip uses 6 liters of fuel, so he used 2 trips * 6 liters/trip = <<2*6=12>> 12 liters of fuel.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: Charlie has a total of 63 toy cars. If he groups them equally into 9 big boxes, how many toy cars will be in each box?

Gemma 2B:

    Reasoning: To find out how many toy cars are in each box, we need to divide the total number of cars by the number of boxes.  So, we divide 63 by 9.

    63 divided by 9 is 7.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the organization of Charlie's toy cars. This time, instead of grouping them into 9 boxes, imagine he grouped the original 63 toy cars into only 5 boxes. How many toy cars will be in each box now?

Gemma 2B:

    Reasoning: To figure out how many toy cars go in each box, we need to divide the total number of cars (63) by the number of boxes (5).

    63 divided by 5 equals 12 with a remainder of 3.

    This means that 12 toy cars will go into each of the 5 boxes, and we'll have 3 toy cars left over.

    ### Answer: 12

Expected answer: 63/5

Correct? No

🔗 Problem

Problem: On the farm, there are 24 hens. Each coop holds 12 hens. How many coops are needed to house all the hens?

Gemma 2B:

    Reasoning: To find the number of coops needed, we divide the total number of hens by the number of hens each coop can hold. So, we have 24 hens / 12 hens per coop = 2 coops.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: After reconsidering, the farmer decides to place the hens into larger coops where each coop can hold 8 hens. How many coops would he need now to house all the hens?

Gemma 2B:

    Reasoning:  Now, with larger coops that hold 8 hens each, we need to divide the total number of hens by the new coop capacity.  So, we have 24 hens / 8 hens per coop = 3 coops.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: If 3 large postcards are placed in 1 envelope, how many large postcards are in each envelope?

Gemma 2B:

    If 3 large postcards are placed in 1 envelope, there are 3 large postcards in each envelope.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Following the previous question - if 3 large postcards are placed in 1 envelope, and Macy decided to distribute 6 envelopes of the same kind, how many large postcards did she distribute in total?

Gemma 2B:

    Macy distributed 6 envelopes * 3 large postcards per envelope = 18 large postcards in total.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Following the previous question - suppose that instead of placing 3 large postcards in each envelope, Macy starts to put only 2 large postcards in each envelope. How many large postcards are there in each envelope now?

Gemma 2B:

    If Macy starts to put only 2 large postcards in each envelope, there are **2** large postcards in each envelope.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Tommy is going camping and he needs sleeping bags. He took 12 sleeping bags from the storage and he remembered that he needs twice as many. How many sleeping bags does he need in total?

Gemma 2B:

    Reasoning: Tommy needs twice as many sleeping bags as he has, so he needs 12*2 = <<12*2=24>>24 sleeping bags in total.
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: Tommy remembered that he actually only had 6 sleeping bags in storage, not 12 as he had previously thought. He still needs twice as many sleeping bags as originally counted. How many sleeping bags does he need in total now?

Gemma 2B:

    Reasoning: Tommy needs twice as many sleeping bags as he has, which is 6*2 = <<6*2=12>>12 sleeping bags.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a new game, Tina earns 3 points per level. If she successfully completes 5 levels, how many total points does she earn?

Gemma 2B:

    Reasoning: Tina earns 3 points per level, and she completes 5 levels.  So, she earns a total of 3*5 = <<3*5=15>>15 points.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: In the same game, Tina decides to convert her points into game coins. If the current rate of conversion is 1 coin per point, how many game coins will she have after the conversion?

Gemma 2B:

    Reasoning: Tina has 15 points, and the exchange rate is 1 coin per point.  Therefore, she will have 15*1 = <<15*1=15>>15 coins after the conversion.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Problem

Problem: In a video game, Tim needs 4 points to advance to the next level. If there are 9 levels in total, how many points does Tim need in total to finish the game?

Gemma 2B:

    Reasoning: To finish the game, Tim needs to advance through 9 - 1 = <<9-1=8>>8 levels.
    Therefore, Tim needs 8 * 4 = <<8*4=32>>32 points in total.
    ### Answer: 32

Expected answer: 36

Correct? No

🔗 Problem

Problem: Sophie has a bubble blowing machine. The machine blows bubbles at a rate of 2 bubbles per second. How many bubbles will be blown in one second?

Gemma 2B:

    Since the bubble blowing machine blows 2 bubbles per second, it will blow **2** bubbles in one second.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Sophie lets her bubble blowing machine run for another 9 seconds. How many more bubbles does the machine blow?

Gemma 2B:

    The machine blows 2 bubbles per second, and it runs for 9 more seconds, so it will blow 2 * 9 = 18 more bubbles.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Sophie changes the setting on her bubble blowing machine so that it now blows 7 bubbles per second instead of 2. How many bubbles will now be blown in one second?

Gemma 2B:

    Since Sophie changed the setting to blow 7 bubbles per second, the machine will blow **7** bubbles in one second.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Farmer Mike has 6 cows. Each of them gives 12 liters of milk every day. How many liters of milk does Farmer Mike get in a day?

Gemma 2B:

    Reasoning:  Farmer Mike gets 6 cows * 12 liters/cow = 72 liters of milk each day.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Farmer Mike decided to buy an additional cow, increasing his herd to 7 cows. If each cow still produces 12 liters of milk every day, how many liters of milk does Farmer Mike get in a day now?

Gemma 2B:

    Reasoning: With 7 cows, Farmer Mike gets 7 cows * 12 liters/cow = 84 liters of milk each day.
    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: John has 9 sunglasses in a line. He decided to divide his collection into equal parts. If each part contains 9 sunglasses, how many parts would he get?

Gemma 2B:

    Reasoning: John has 9 sunglasses and each part will contain 9 sunglasses, so he will have 9/9 = <<9/9=1>>1 part.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: After assigning sunglasses to the group, John considers dividing his original collection differently. If he divides the initial 9 sunglasses by 1 instead of 9, how many sunglasses would he have in each group?

Gemma 2B:

    Reasoning: If John divides his 9 sunglasses by 1, then each group will have 9/1 = <<9/1=9>>9 sunglasses.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A rocket scientist needs to calculate the fuel consumption of his rocket. Each second, the rocket uses 9 units of fuel. After 11 seconds of flight, how much fuel has been consumed?

Gemma 2B:

    Reasoning: The rocket consumes 9 units of fuel per second, and it has been flying for 11 seconds. Therefore, the total fuel consumption is 9 units/second * 11 seconds = 99 units.
    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: In the park, there are 4 swings available. Every swing can seat 3 children. How many children can the swings in the park seat altogether?

Gemma 2B:

    Reasoning: If each of the 4 swings can seat 3 children, then the total number of children that can be seated is 4 swings * 3 children/swing = 12 children.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: In reconsideration, the first park actually only has 1 swing that can seat 3 children, not 4 swings. Given this new information, how many children can the swings in the first park seat now?

Gemma 2B:

    Reasoning: Since there is only 1 swing and it can seat 3 children, the total number of children that can be seated is 1 swing * 3 children/swing = 3 children.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: There are 3 magical fairies in Fairyland. Each fairy has a unique ability to create triplets of herself. How many fairies will there be after each of them uses their ability?

Gemma 2B:

    Reasoning: Each fairy will create 3 more fairies, so each fairy will become 1+3 = 4 fairies.
    Since there are 3 fairies in total, there will be 3*4 = 12 fairies after they use their abilities.

    ### Answer: 12

Expected answer: 9

Correct? No

🔗 Problem

Problem: James, a songwriter, loves to include the word "love" in his songs. In one song, he mentioned the word "love" 4 times in each verse. How many times did he mention "love" if the song has 3 verses?

Gemma 2B:

    Reasoning: Since he mentioned "love" 4 times in each verse, and there are 3 verses, he mentioned it a total of 4 * 3 = 12 times.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Following the last problem, after James wrote his song, he decided to dedicate four performances to his beloved. In each performance, he sings the song once. How many times will the word "love" be mentioned if he sings the song in all four performances?

Gemma 2B:

    Reasoning:  In one performance, James mentions "love" 12 times. Since he performs the song 4 times, he will mention "love" a total of 12 * 4 = 48 times.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenarios, James decided to rewrite his song. Now, he included the word "love" 4 times in each verse, but this time he expanded his song to include 10 verses. How many times does he mention "love" in this new version of his song?

Gemma 2B:

    Reasoning: Since he mentions "love" 4 times in each verse, and the song has 10 verses, he mentions it 4 * 10 = 40 times.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: Mark has 48 apps on his phone. He likes to organize his apps into folders, and he can fit exactly 8 apps in each folder. How many folders does he need to organize all of his apps?

Gemma 2B:

    Reasoning: Mark needs 48/8 = <<48/8=6>> 6 folders to organize all of his apps.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Mark realized that he could fit more apps into each folder. If he reorganizes his apps so that each folder contains 6 apps instead of 8, how many folders will he need now to store all of his 48 apps?

Gemma 2B:

    Reasoning: Mark will need 48/6 = <<48/6=8>> 8 folders to organize his apps if he puts 6 apps in each folder.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: If Johnny wants to distribute candies to his friends at school and he decides to give each friend 12 candies, and there are 3 friends, how many candies does he need in total?

Gemma 2B:

    Reasoning: Johnny needs 12 candies per friend and he has 3 friends, so he needs a total of 12 * 3 = 36 candies.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: After distributing candies to his friends at school, Johnny decides to double the amount of candies he gave for the next day. How many candies will he need in total for the next day?

Gemma 2B:

    Reasoning: Johnny gave 36 candies in total the first day. He wants to double that amount for the next day. So he'll need 36 * 2 = 72 candies.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: Tommy has a racetrack that he plans to race his toy cars on. If he can race 10 cars in total and he races 5 cars at a time, how many turns does it take for him to race all his cars?

Gemma 2B:

    Reasoning: Tommy has 10 cars and can race 5 at a time, so he needs 10/5 = 2 turns to race all his cars.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, Tommy decided to organize multiple rounds of races. If he performs 8 rounds of races, with each round involving the same number of turns as before, how many turns in total will he need to complete all the rounds?

Gemma 2B:

    Reasoning: We know from the previous problem that each round takes 2 turns. Tommy has 8 rounds, so in total, he will need 8 * 2 = 16 turns.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Sally has 40 feathers from her chickens. If she arranged the feathers in groups of 10, how many groups would she have?

Gemma 2B:

    Reasoning:  Sally would have 40/10 = <<40/10=4>> 4 groups of feathers.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Sally sorts her 40 chicken feathers into groups of 10. Then, she decided to double the number of groups. How many groups does she have now?

Gemma 2B:

    Reasoning: Sally had 40/10 = 4 groups of feathers.
    Doubling that amount means she has 4 * 2 = 8 groups now.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Sally originally thought she had sorted her 40 chicken feathers into groups of 10, but then she realized she actually sorted them into groups of 11 instead. How many groups does she have now?

Gemma 2B:

    Reasoning: Sally has 40/11 = 3 groups of 11 feathers, with 7 feathers left over.
    ### Answer: 3

Expected answer: 40/11

Correct? No

🔗 Problem

Problem: Fairy Lily is 1 inch tall. However, when she uses her magical fairy dust, she can become 11 times her original size. How tall is Fairy Lily when she uses her magical dust?

Gemma 2B:

    Fairy Lily is 1 inch tall, and when she uses her magical fairy dust she becomes 11 times her original size. Therefore, Fairy Lily's height after using the magical dust is 1 inch * 11 = 11 inches.
    ### Answer: 11 inches

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: After using her magical dust to grow 11 times her original size, Fairy Lily decides to add another element to her spells. She casts a spell that multiplies her height by 7. How tall is Fairy Lily now?

Gemma 2B:

    Fairy Lily was 11 inches tall after using her magical dust. After casting the second spell, her height is multiplied by 7, making her 11 inches * 7 = 77 inches tall.
    ### Answer: 77 inches

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: In a different scenario, if Fairy Lily only grows to 6 times her original size rather than 11 times using her magical dust, how tall would she become then?

Gemma 2B:

    Fairy Lily is 1 inch tall, and now she grows to 6 times her original size.  Therefore, Fairy Lily's height after using the magical dust is 1 inch * 6 = 6 inches.

    ### Answer: 6 inches

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: In a beehive, one female bee can produce 5 new bees every day. How many bees would she produce in 1 day?

Gemma 2B:

    If one female bee can produce 5 new bees every day, then in one day she would produce 5 bees.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, if this female bee continues to produce bees at the same rate, how many bees will she have produced after 11 days?

Gemma 2B:

    If the bee produces 5 new bees each day, over 11 days she will produce 5 bees/day * 11 days = 55 bees.

    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: Following the previous problems, consider if the female bee instead produced new bees at a slower rate, making only 5 bees every 3 days. How many bees would she produce in one day at this new rate?

Gemma 2B:

    If the female bee produces 5 bees every 3 days, then in one day she would produce 5/3 bees.  This can be represented as a fraction, 5/3, or as a decimal, approximately 1.67 bees.  However, since you can't have a fraction of a bee, we can round down to the nearest whole number.

    ### Answer: 1

Expected answer: 5/3

Correct? No

🔗 Problem

Problem: Thomas has 35 piano sheets in his music stand. If he wants to evenly distribute his music sheets into 7 piano books, how many sheets will each book have?

Gemma 2B:

    Reasoning: Thomas will put 35/7 = <<35/7=5>>5 sheets of music in each piano book.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: After arranging his music sheets into the piano books, Thomas decided to purchase 8 more books, each with the same number of sheets as the books he has now. How many more piano sheets did he buy?

Gemma 2B:

    Reasoning: Thomas bought 8 * 5 = <<8*5=40>>40 more piano sheets.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: Instead, suppose originally Thomas had 9 piano sheets. If he evenly distributes his music sheets into 7 piano books as before, how many sheets will each book have now?

Gemma 2B:

    Reasoning: Thomas will need to divide his 9 piano sheets among 7 piano books. Since we can't have fractions of a sheet, we need to figure out how to distribute the sheets as evenly as possible.

    We can put one sheet in each of the 7 books. This leaves us with 2 sheets left over.  Unfortunately, we can't distribute those remaining sheets evenly.

    ### Answer:  Each book will have 1 sheet, with 2 sheets left over.

Expected answer: 9/7

Correct? No

🔗 Problem

Problem: Mom baked 2 batches of cookies. Each batch contains 8 cookies. How many cookies did mom bake in total?

Gemma 2B:

    Reasoning: Mom baked 2 batches * 8 cookies per batch = 16 cookies in total.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Earth has 3 natural satellites. If the number of moon rocks collected each year is triple the total number of these satellites, how many moon rocks would be collected in one year?

Gemma 2B:

    Reasoning: Since Earth has 3 natural satellites, and the number of moon rocks collected each year is triple this number, we have 3 * 3 = 9 moon rocks collected per year.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, if each moon rock collected in a year is stored in a separate storage bin, how many storage bins would be needed to store all the rocks collected in one year?

Gemma 2B:

    Reasoning: Since we have 9 moon rocks collected in a year, and each rock needs a separate bin, we need 9 storage bins.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous scenario, suppose that instead of 3, the Earth had 5 natural satellites. In this case, if the number of moon rocks collected each year is triple the total number of these satellites, how many moon rocks would be collected in one year?

Gemma 2B:

    Reasoning: If Earth had 5 natural satellites, and the number of moon rocks collected each year is triple this number, we would have 5 * 3 = 15 moon rocks collected per year.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Problem

Problem: Doctor Thomas needs to visit 10 patients. He spends 5 minutes with each patient. How many minutes does he spend with all of his patients?

Gemma 2B:

    Reasoning: Doctor Thomas spends 5 minutes per patient, and he has 10 patients. So, he spends a total of 5 * 10 = 50 minutes with his patients.

    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: After visiting his patients, Doctor Thomas then spends twice the amount of time he spent with his patients on paperwork. How many minutes does he spend on paperwork?

Gemma 2B:

    Reasoning: Doctor Thomas spent 50 minutes with his patients, and he spends twice that amount of time on paperwork. This means he spends 50 * 2 = 100 minutes on paperwork.

    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: In a different scenario, Doctor Thomas spends 6 minutes with each patient instead of 5 minutes. If he still has the same number of patients to visit, how many minutes will he spend with all his patients?

Gemma 2B:

    Reasoning: Doctor Thomas still has 10 patients to visit. This time, he spends 6 minutes with each patient, so he will spend a total of 6 * 10 = 60 minutes with all his patients.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: Jerry was thinking of purchasing new pants and he noticed a special offer. The shop was selling 11 pants for $55. After calculating the price for each pant, he decided to buy 12. How much would he spend?

Gemma 2B:

    Reasoning: The price of one pant is $55/11 = $5.
    Jerry would spend 12*$5 = $60.
    ### Answer: $60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: Molly has 8 bottles of apple juice. She decides to multiply her collection of apple juice bottles by the same number she has. How many bottles of apple juice does Molly have now?

Gemma 2B:

    Molly multiplies her collection of 8 bottles by the same number, which is 8.
    So, she now has 8 * 8 = <<8*8=64>>64 bottles of apple juice.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Molly later decided that 8 bottles of apple juice were too many. So, she reduced her collection to 6 bottles. Then, she once again decided to increase her apple juice collection by multiplying the number of bottles she has by the same number. How many bottles of apple juice does Molly have now?

Gemma 2B:

    Molly now has 6 bottles of apple juice and wants to multiply that number by the same number, which is 6.
    So, she now has 6 * 6 = <<6*6=36>>36 bottles of apple juice.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: There are few craters on one of the sections of the moon. If that section is divided into 8 equal parts and we count 32 craters in total, how many craters are there in each part?

Gemma 2B:

    Reasoning: If there are 32 craters in total, and the moon is divided into 8 equal parts, there are 32/8 = 4 craters in each part.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Let's think back to the moon section with craters we discussed earlier. Suppose instead that the moon's section was divided into 5 equal parts with a total of 32 craters. How many craters would there be in each part then?

Gemma 2B:

    Reasoning:  If the moon section is divided into 5 equal parts and there are 32 craters in total, there would be 32/5 = 6.4 craters per part. Since we can't have parts of craters, we need to round down. This means there would be 6 craters in each of the 4 parts and 2 craters in the remaining part.

    ### Answer: 6.4

Expected answer: 32/5

Correct? Yes

🔗 Problem

Problem: There are 4 monkeys in the jungle. Each monkey has 7 bananas. How many bananas do the monkeys have in total?

Gemma 2B:

    Reasoning: If each of the 4 monkeys has 7 bananas, then there are 4*7 = 28 bananas in total.
    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Follow-up

Problem: Let's imagine that originally there were 9 monkeys instead of 4. If each monkey has 7 bananas, how many bananas do all the monkeys have in total now?

Gemma 2B:

    Reasoning: If there are 9 monkeys and each has 7 bananas, then the monkeys have a total of 9*7 = 63 bananas.
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Problem

Problem: Fiona has a block of cheese that weighs 32 ounces. If she wants to divide it into equal pieces which each weigh 4 ounces, how many pieces of cheese will she have?

Gemma 2B:

    Reasoning: To find out how many 4-ounce pieces Fiona can make, we need to divide the total weight of the cheese by the weight of each piece: 32 ounces / 4 ounces/piece = 8 pieces.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Fiona later found a smaller block of cheese that weighs 32 ounces. If she wants to cut this one into equal pieces which each weigh 9 ounces, how many pieces of cheese will she get from this block?

Gemma 2B:

    Reasoning: To find out how many 9-ounce pieces Fiona can make from the smaller block, we need to divide the total weight of the cheese by the weight of each piece: 32 ounces / 9 ounces/piece = 3.555... pieces. Since we can't have a fraction of a piece, Fiona will get 3 whole pieces.
    ### Answer: 3

Expected answer: 32/9

Correct? No

🔗 Problem

Problem: Bob has 6 cups. If he wants to fill each cup with 1 glass of milk, how many glasses of milk does he need?

Gemma 2B:

    Bob needs the same number of glasses of milk as he has cups.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Bob just realized he only has 2 cups instead of 6. If he still wants to fill each cup with 1 glass of milk, how many glasses of milk does he need now?

Gemma 2B:

    Since Bob now only has 2 cups, he needs the same number of glasses of milk.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In the zoo, there are 36 new-born rabbits divided evenly into 9 cages. Each cage is then assigned to two caretakers. How many caretakers are assigned per cage?

Gemma 2B:

    Reasoning: Each cage has 36/9 = <<36/9=4>>4 rabbits.
    Since each cage is assigned to 2 caretakers, there are 2 caretakers per cage.
    ### Answer: 2

Expected answer: 8

Correct? No

🔗 Problem

Problem: Farmer Brown has made 42 blocks of cheese. Each wheel of cheese requires 7 blocks to make. How many whole wheels of cheese can he make with the current blocks he has?

Gemma 2B:

    Reasoning:  To find out how many whole wheels Farmer Brown can make, we need to divide the total number of blocks by the number of blocks needed per wheel.

    This can be represented by the equation: 42 blocks / 7 blocks/wheel =  6 wheels

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: After making the cheese wheels, Farmer Brown decides to double his production in order to have enough for the upcoming village fair. Based on his current production rate, how many cheese wheels will he have after doubling his output?

Gemma 2B:

    Reasoning: Farmer Brown currently has 6 wheels of cheese.  Doubling his production means he will have 6 wheels * 2 = 12 wheels.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: John has a square kite. Each side of the kite is 4 feet long. What is the total length of two sides of the kite in feet?

Gemma 2B:

    Reasoning:  Since each side of the square kite is 4 feet long, the total length of two sides is 4 feet + 4 feet = 8 feet.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: John wants to make another identical kite. How many feet of string will he need for the two sides of both kites?

Gemma 2B:

    Reasoning: Since he needs 8 feet of string for two sides of one kite, he will need 8 feet x 2 = 16 feet of string for both kites.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: Suppose that John decides to make a very small kite with each side only 1 foot long. What is the total length of two sides of this smaller kite in feet?

Gemma 2B:

    Reasoning: Since each side of the smaller kite is 1 foot long, the total length of two sides is 1 foot + 1 foot = 2 feet.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Anna has 4 bags of candy, each containing 3 candies. How many candies does she have in total?

Gemma 2B:

    Anna has 4 bags of candy, and each bag has 3 candies.  To find the total number of candies, we multiply the number of bags by the number of candies per bag.

    4 bags * 3 candies/bag = 12 candies

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: In the previous situation, what if Anna initially had only 1 bag of candy, each containing 3 candies? How many candies would she have initially?

Gemma 2B:

    If Anna has only 1 bag of candy, and each bag contains 3 candies, she would have a total of 1 bag * 3 candies/bag = 3 candies.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A garden has 6 patches of flowers. Each patch attracts 3 butterflies. How many butterflies are there in total in the garden?

Gemma 2B:

    Reasoning: If each of the 6 patches attracts 3 butterflies, there are 6*3 = <<6*3=18>>18 butterflies in total.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In a similar situation, imagine if initially there were 8 patches of flowers instead of 6 and each patch still attracts 3 butterflies. How many butterflies would there be in total then?

Gemma 2B:

    Reasoning: If there were 8 patches of flowers, and each patch attracts 3 butterflies, then there would be 8*3 = <<8*3=24>>24 butterflies in total.
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: Sophia is having a party. She wants to divide 72 cookies evenly among her 8 friends, giving them an equal number. She then decides to gift each friend 5 times the amount they initially received. How many cookies will each friend get in total?

Gemma 2B:

    Reasoning: Sophia initially gave each friend 72/8 = <<72/8=9>> 9 cookies.
    She then decided to give each friend 9*5 = <<9*5=45>> 45 cookies.
    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: Sophia revisited her party plans and decided to invite two more friends, resulting in a total of 10 friends. Now she wants to divide the same 72 cookies evenly among all her friends, and again, give each friend 5 times the initial amount. How many cookies will each friend get in total now?

Gemma 2B:

    Reasoning: Sophia now has 10 friends and will give each friend 72/10 = <<72/10=7.2>> 7.2 cookies initially.
    She then decided to give each friend 7.2*5 = <<7.2*5=36>> 36 cookies.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: John has 3 cameras. Each camera can take 1 picture per second. If John uses all his cameras to take pictures for 5 seconds, how many pictures will he have taken in total?

Gemma 2B:

    Reasoning: Since each camera takes one picture per second, in 5 seconds each camera will take 5*1=5 pictures.
    Since John has 3 cameras, he will have taken 5*3=15 pictures in total.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Problem

Problem: Tommy has 3 boxes of toys. Each box contains 9 toys. How many toys does Tommy have in total?

Gemma 2B:

    Reasoning: Tommy has a total of 3 boxes * 9 toys per box = 27 toys.
    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: Tommy realized he made a mistake when counting his toys. Instead of having 3 boxes of toys, he actually had 10 boxes. Each box still contains 9 toys. Now, how many toys does Tommy really have?

Gemma 2B:

    Reasoning: Tommy has 10 boxes * 9 toys per box = 90 toys.
    ### Answer: 90

Expected answer: 90

Correct? Yes

🔗 Problem

Problem: Joanna has a clothing store and packs 10 shirts into 5 boxes. How many shirts does each box contain?

Gemma 2B:

    Joanna packs 10 shirts into 5 boxes, so each box contains 10 / 5 = 2 shirts.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: What if Joanna originally had 7 shirts instead of 10 and she still wants to distribute them evenly into 5 boxes? How many shirts will each box contain then?

Gemma 2B:

    If Joanna has 7 shirts and wants to distribute them evenly into 5 boxes, she can only put 1 shirt in each box. The remaining 2 shirts would be left over.

    However, since we're looking for how many shirts each box will *contain*, the answer is:

    ### Answer: 1

Expected answer: 7/5

Correct? No

🔗 Problem

Problem: Jack has 9 scooters. Harry, seeing Jack's love for scooters, decided to give him seven times as many scooters for his birthday. How many scooters did Harry give to Jack?

Gemma 2B:

    Reasoning: Harry gave Jack 7 * 9 = 63 scooters.
    ### Answer: 63

Expected answer: 63

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of having 9 scooters originally, Jack started with 6 scooters. How many scooters would Harry give to Jack now, following Harry's original plan of giving seven times as many scooters as Jack initially had?

Gemma 2B:

    Reasoning:  Harry would give Jack 7 * 6 = 42 scooters.
    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: There are 7 hours on a clock. Each hour has 4 quarters. How many quarters are there in three clocks?

Gemma 2B:

    Reasoning: There are 7 hours * 4 quarters = 28 quarters on one clock.
    There are 28 quarters * 3 clocks = 84 quarters on three clocks.

    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: Liam has 35 scoops of ice cream. If he puts an equal amount of ice cream into 5 cones, how many scoops of ice cream does each cone get?

Gemma 2B:

    Reasoning: If Liam puts 35 scoops of ice cream into 5 cones, each cone gets 35/5 = <<35/5=7>>7 scoops of ice cream.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we had 35 scoops of ice cream to start with. But what if we start with only 8 scoops of ice cream, and we are still trying to divide it equally into 5 cones? How many scoops of ice cream would each cone hold then?

Gemma 2B:

    Reasoning: We can't divide 8 scoops of ice cream equally into 5 cones.  We would have some ice cream leftover. We would need to figure out how many scoops are in each cone and how many scoops would be leftover.

    Each cone would get 8/5 = 1.6 scoops of ice cream, but that isn't a whole number.  So, each cone would get 1 scoop, and there would be 3 scoops of ice cream left over.
    ### Answer: Each cone would get 1 scoop.

Expected answer: 8/5

Correct? No

🔗 Problem

Problem: Billy has 8 toy trains at his house. He went to a train festival and got 9 times more trains than he originally had. How many trains did Billy get at the festival?

Gemma 2B:

    Reasoning: Billy got 9*8 = <<9*8=72>> 72 trains at the festival.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: If Billy originally had 8 toy trains, but at the train festival, he was able to gather 8 times more trains than he originally had instead of 9, how many trains did Billy get at the festival?

Gemma 2B:

    Reasoning: Billy got 8*8 = <<8*8=64>> 64 trains at the festival.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A librarian decided to arrange books on a shelf. She placed 8 books in a row and made sure every row had the same number of books. How many books were there if the arrangement was square (i.e., the same number of rows as there were books in a row)?

Gemma 2B:

    Reasoning: Since the arrangement is square, the number of rows is the same as the number of books in a row.  Therefore, there are 8 rows.

    The total number of books is the number of rows multiplied by the number of books in a row, so there are 8 x 8 = <<8*8=64>>64 books.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem about the librarian, let's consider a different scenario. This time, she decides to arrange a smaller square of books with only 4 books in a row. Each row still has the same number of books. So, how many books does she need for this smaller square arrangement?

Gemma 2B:

    Reasoning:  Since the arrangement is a square, and there are 4 books in a row, there are also 4 rows.

    To find the total number of books, we multiply the number of rows by the number of books in a row: 4 rows * 4 books/row = 16 books.

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Lisa had 10 yards of fabric. If it takes 1 yard of fabric to make a skirt, how many skirts can Lisa make?

Gemma 2B:

    Lisa can make 10 skirts because she has 10 yards of fabric and each skirt requires 1 yard of fabric.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: Sarah receives 12 phone calls every day on her work phone. But, she only answers a quarter of those phone calls. How many phone calls does she answer a day?

Gemma 2B:

    Reasoning: Sarah answers 12/4 = 3 phone calls a day.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous problem, if for each phone call Sarah answered, she received 11 more calls as a response, how many additional calls did she receive in a day?

Gemma 2B:

    Reasoning: Sarah receives 3 x 11 = 33 additional calls in a day.
    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: Melanie is planning for a camping trip and she needs 3 sleeping bags for each of her 4 friends. How many sleeping bags does Melanie need in total?

Gemma 2B:

    Melanie needs 3 sleeping bags per friend, and she has 4 friends, so she needs 3*4 = 12 sleeping bags in total.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Suppose Melanie originally planned to bring 3 sleeping bags for each of her 6 friends instead of 4, for the camping trip. How many sleeping bags would Melanie need in total for the camping trip now?

Gemma 2B:

    Melanie originally planned to bring 3 sleeping bags per friend, and she has 6 friends, so she needs 3*6 = 18 sleeping bags in total.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: Johnny has 3 times the amount of snowballs that Billy does. If Billy has 6 snowballs, how many snowballs does Johnny have?

Gemma 2B:

    Reasoning: Johnny has 3 times the amount of snowballs Billy has, so he has 3 * 6 = 18 snowballs.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Consider now that initially, Johnny had 3 times the amount of snowballs that Billy does, not 5 times. If Billy still has 11 snowballs, how many snowballs does Johnny have now?

Gemma 2B:

    Reasoning: Johnny has 3 times the amount of snowballs that Billy has, so he has 3 * 11 = 33 snowballs.
    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: In a game, each star is equivalent to 5 points. If Tom collected 1 star, how many points does he have?

Gemma 2B:

    Tom collected 1 star, and each star is worth 5 points.
    So, Tom has 1 * 5 = 5 points.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Tom decided to play more of the game and managed to collect 4 more stars. Considering that each star is equivalent to 5 points, how many additional points has he earned now?

Gemma 2B:

    Tom collected 4 more stars, and each star is worth 5 points.
    So, he earned an additional 4 * 5 = 20 points.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: In the game, what if initially each star was equivalent to 7 points instead of 5? If Tom collected 1 star as before, how many points would he have now?

Gemma 2B:

    Now, each star is worth 7 points, and Tom collected 1 star.
    So, Tom has 1 * 7 = 7 points.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Captain Jack has 4 cannons on his pirate ship. If each cannon fires 12 cannonballs, how many cannonballs were fired in total?

Gemma 2B:

    Reasoning:  Since Captain Jack has 4 cannons and each fires 12 cannonballs, he fired a total of 4 x 12 = 48 cannonballs.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: Given that Captain Jack actually had 4 cannons, but each can fire only 3 cannonballs, how many cannonballs were fired in total now?

Gemma 2B:

    Reasoning: Captain Jack has 4 cannons and each cannon can fire 3 cannonballs.  Therefore, he can fire a total of 4 x 3 = 12 cannonballs.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: Emma has a pack of 10 colored pencils. She wants to have as many colored pencils as the square of the number she currently has. How many colored pencils will she have then?

Gemma 2B:

    Reasoning: The square of 10 is 10 * 10 = 100.
    Emma wants to have 100 colored pencils.
    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: Now consider if Emma had started with a pack of only 4 colored pencils instead. If she still wants to have as many colored pencils as the square of the number she currently has, how many colored pencils will she have then?

Gemma 2B:

    Reasoning: The square of 4 is 4 * 4 = 16.
    Emma wants to have 16 colored pencils.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Emily had 70 cookies. She decided to pack them in bags with each bag containing 7 cookies. After getting the number of bags, she decided to multiply it by 6 for a camping trip. How many cookies does she need for her intended number of sleeping bag sets?

Gemma 2B:

    Reasoning: Emily can pack 70/7 = <<70/7=10>>10 bags of cookies.
    Emily needs 10*6 = <<10*6=60>>60 cookies for her camping trip.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: Let's consider a different scenario. Emily originally had 9 cookies instead of 70. She still wants to pack them in bags, with each bag containing 7 cookies. She still wants to multiply the number of bags by 6 for a camping trip. How many cookies does she need now for her intended number of sleeping bag sets?

Gemma 2B:

    Reasoning: Emily can only pack 9/7 = <<9/7=1.2857142857142858>>1 full bag of cookies, since you can't have a fraction of a cookie.
    Emily needs 1*6 = <<1*6=6>>6 cookies for her camping trip.
    ### Answer: 6

Expected answer: 54/7

Correct? No

🔗 Problem

Problem: Captain Redbeard has 6 cannons on one side of his pirate ship. Each cannon fires 4 cannonballs at a time when the ship goes into battle. During a sea fight, with one shot from each of the cannons on one side of the ship, how many cannonballs are fired in total?

Gemma 2B:

    Reasoning: With 6 cannons firing 4 cannonballs each, the total number of cannonballs fired is 6 * 4 = 24.
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: In a different battle, Captain Redbeard decided to increase his firepower and loaded each cannon with 11 cannonballs. With one shot from each of the 6 cannons on one side of his ship, how many cannonballs would be fired in total from that side?

Gemma 2B:

    Reasoning: If each cannon fires 11 cannonballs, and there are 6 cannons, the total number of cannonballs fired is 6 * 11 = 66.

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: A magical unicorn walks 72 miles every day. If it takes the unicorn 12 hours to cover that distance. How many miles does the unicorn cover every hour?

Gemma 2B:

    Reasoning:  To find out how many miles the unicorn covers every hour, we need to divide the total distance by the time it takes.

    So, the unicorn covers 72 miles / 12 hours = <<72/12=6>> 6 miles every hour.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: In a magical turn of events, the unicorn's speed is tripled for an enchanting hour. Given the unicorn's new pace, how many miles would it cover in that enchanted hour?

Gemma 2B:

    Reasoning: The unicorn's normal speed is 6 miles per hour.  If its speed is tripled, it would be travelling at 6 miles/hour * 3 = 18 miles per hour.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: Sue has 3 potato plants and each plant yields 10 potatoes. How many potatoes does Sue have in total?

Gemma 2B:

    Sue has 3 potato plants and each plant yields 10 potatoes, so in total she has 3*10 = 30 potatoes.
    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Suppose that Sue originally planted 3 potato plants instead of 10, and each of those plants still produced 3 potatoes. How many potatoes would Sue have harvested from her original planting?

Gemma 2B:

    Sue originally planted 3 potato plants, and each plant yielded 3 potatoes.  So Sue would have harvested 3 * 3 = 9 potatoes.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: An astronaut walks a distance of 20 kilometers per day on the lunar surface. If they decide to only walk for 1/5 of the day, how many kilometers do they cover?

Gemma 2B:

    Reasoning: If the astronaut walks 20 kilometers in a whole day, then in 1/5 of a day they walk 20/5 = <<20/5=4>>4 kilometers.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Following up on the previous problem, let's say on a particular day, the astronaut decides to increase their walking duration from 1/5 of a day to 12/5 of a day. How many kilometers would they cover on that day?

Gemma 2B:

    Reasoning: The astronaut walks 20 kilometers in a whole day, so in 12/5 of a day they would walk (12/5) * 20 = <<(12/5)*20=48>>48 kilometers.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: In a new scenario, let's say the astronaut now walks a distance of 20 kilometers per day on the lunar surface but decides to walk for only 1/6 of the day instead of 1/5. How many kilometers would they cover in this case?

Gemma 2B:

    Reasoning: If the astronaut walks 20 kilometers in a whole day, then in 1/6 of a day they walk 20/6 = <<20/6=3.3333333333333335>> kilometers.

    Since we can't have a fraction of a kilometer, we round down to the nearest whole number.

    ### Answer: 3

Expected answer: 10/3

Correct? No

🔗 Problem

Problem: Mr. Lemon has 10 lemons and he wants to evenly distribute them into 5 boxes. How many lemons will there be in each box?

Gemma 2B:

    Reasoning: To find out how many lemons go in each box, we divide the total number of lemons (10) by the number of boxes (5).

    10 lemons / 5 boxes = 2 lemons per box

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Mr. Lemon decides to add 2 more lemons to each box, because he wants to share more lemons with his friends. How many lemons will there be in each box now?

Gemma 2B:

    Reasoning:  Each box already has 2 lemons. If Mr. Lemon adds 2 more to each box, we add 2 to the existing amount.

    2 lemons + 2 lemons = 4 lemons

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: After some thought, Mr. Lemon considers distributing the ten lemons among six boxes instead of five. How many lemons would there be in each box if he decides to distribute them in this way?

Gemma 2B:

    Reasoning: If Mr. Lemon has 10 lemons and wants to distribute them evenly among 6 boxes, we need to divide the total number of lemons by the number of boxes.

    10 lemons / 6 boxes = 1.666... lemons per box

    Since we can't have a fraction of a lemon, we need to round down.

    ### Answer: 1

Expected answer: 5/3

Correct? No

🔗 Problem

Problem: A helicopter pad can hold 4 helicopters at a time. The city has decided to build 11 new helicopter pads. How many helicopters can all of the helicopter pads hold when combined?

Gemma 2B:

    Reasoning:  Each helicopter pad can hold 4 helicopters, and there are 11 new pads. So, the total number of helicopters that can be held is 11 pads * 4 helicopters/pad = 44 helicopters.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: If each of the helicopters that the city's helicopter pads can hold requires just one helipad to park, how many helipads will be occupied when all the helicopters are parked?

Gemma 2B:

    Reasoning: If each helicopter needs one helipad and there are 44 helicopters, then all 11 helipads will be occupied.

    ### Answer: 11

Expected answer: 44

Correct? No

🔗 Problem

Problem: John decided to re-arrange his room and he has a single bed that takes the space of 1 large carpet tile. If his room size requires 12 such carpet tiles fully side by side, how many bed spaces does John's room have?

Gemma 2B:

    Reasoning: Since one bed takes the space of one carpet tile and the room needs 12 carpet tiles, the room has enough space for 12 beds.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: In a different layout, John realized he could fit 3 beds in the space currently occupied by 1 large carpet tile due to the smaller size of new bunk beds he purchased. If his room size still requires 12 large carpet tiles side by side, then, how many new bunk beds can he fit in his room now?

Gemma 2B:

    Reasoning:  Since 3 beds fit in the space of one carpet tile, and his room has 12 carpet tiles, he can fit 12 * 3 = 36 beds.

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Sophie has 8 flowerpots. In each flowerpot, she plans to plant 3 flowers. How many flowers will Sophie plant in total?

Gemma 2B:

    Sophie will plant 8 * 3 = 24 flowers in total.
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: After successfully planting flowers in her 8 flowerpots, Sophie decided to double the total number of flowers she planted. How many flowers does she have now?

Gemma 2B:

    Sophie doubled her flowers from 24, so she now has 24 * 2 = 48 flowers.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: Now imagine if Sophie originally had 12 flowerpots instead of 8. How many flowers would she have planted if she still planted 3 flowers per flowerpot?

Gemma 2B:

    If Sophie had 12 flowerpots, she would have planted 12 * 3 = 36 flowers.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Shawn has 12 gift boxes and each box contains 6 presents inside. How many presents does Shawn have in total?

Gemma 2B:

    Reasoning: Since each gift box contains 6 presents, and Shawn has 12 boxes, he has a total of 12 * 6 = 72 presents.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: What if Shawn had only 2 gift boxes instead of 12 and each box still contained 6 presents. How many presents does Shawn have in total now?

Gemma 2B:

    Reasoning: With 2 gift boxes and 6 presents per box, Shawn has a total of 2 * 6 = 12 presents.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In the factory, each RoboFalcon assembler can build 8 robots per hour. How many robots can it build in 12 hours?

Gemma 2B:

    Reasoning: If a RoboFalcon assembler can build 8 robots per hour, then in 12 hours, it can build 8 * 12 = <<8*12=96>> robots.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Suppose the RoboFalcon assembler had a minor update and the efficiency slightly reduced. Now, it can only build 6 robots per hour. How many robots can it build in 12 hours now?

Gemma 2B:

    Reasoning: If the RoboFalcon assembler can now build 6 robots per hour, then in 12 hours it can build 6 * 12 = <<6*12=72>> robots.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: Tom has setup 2 tents and each tent has 8 poles. If each pole has 6 strengths attached, how many strings are there in total?

Gemma 2B:

    Reasoning: Tom has a total of 2 * 8 = 16 poles.
    There are a total of 16 * 6 = 96 strings.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: Let's change the scenario a bit. What if Tom had set up only 2 tents but each tent had 3 poles instead of 8. If each pole still has 6 strings attached, how many strings are there in total now?

Gemma 2B:

    Reasoning: With 2 tents and 3 poles per tent, Tom has a total of 2 * 3 = 6 poles.
    Each pole has 6 strings attached, so there are 6 * 6 = 36 strings in total.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: Jane received a set of 10 camera filters as a gift. She decided to equally distribute these between her 5 cameras. How many filters would each camera get?

Gemma 2B:

    Jane has 10 filters and 5 cameras. To find out how many filters each camera gets, we divide the total number of filters by the number of cameras: 10 filters / 5 cameras = 2 filters per camera.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: In retrospect, Jane realized that she had initially given 6 filters to each camera instead of 10. If she continued to distribute the filters equally between her 5 cameras, how many filters would each camera get initially?

Gemma 2B:

    Jane has 10 filters and 5 cameras. If she wants to distribute them equally, each camera would receive 10 filters / 5 cameras = 2 filters each.

    However, Jane mistakenly gave 6 filters to each camera initially.

    ### Answer: 6

Expected answer: 6/5

Correct? No

🔗 Problem

Problem: An elephant takes 1 hour to drink 1 gallon of water. If the elephant spends 1 hour by the waterhole, how many gallons of water did the elephant drink?

Gemma 2B:

    Reasoning: The elephant drinks 1 gallon of water per hour. Since it spent 1 hour by the waterhole, it drank 1 gallon of water.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Given that each gallon of water weighs approximately 1 pound, if the elephant drank 1 gallon of water, how many pounds did the elephant gain from drinking?

Gemma 2B:

    Reasoning: Since each gallon of water weighs 1 pound, and the elephant drank 1 gallon, it gained 1 pound of weight from drinking.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: If instead of spending 1 hour by the waterhole, the elephant spent 5 hours there, how many gallons of water would the elephant have drank?

Gemma 2B:

    Reasoning: The elephant drinks 1 gallon of water per hour. Since it spent 5 hours by the waterhole, it drank 5 gallons of water.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: If one gallon of milk can fill up 2 large containers, how many gallons of milk will be needed to fill 4 large containers?

Gemma 2B:

    Reasoning: If one gallon fills 2 containers, then to fill 4 containers, you would need twice as much milk.
    ### Answer: 2 gallons

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Now, instead of having 4 large containers to fill with milk, imagine if we had 11 containers instead. Given the same rate of 2 containers per gallon, how many gallons of milk will we need to fill all 11 containers?

Gemma 2B:

    Reasoning: We know that each gallon fills 2 containers. To find out how many gallons we need for 11 containers, we divide the total number of containers by the number of containers each gallon fills: 11 containers / 2 containers/gallon = 5.5 gallons.

    Since we can't have half a gallon, we'll need to round up to the nearest whole number.

    ### Answer: 6 gallons

Expected answer: 11/2

Correct? No

🔗 Problem

Problem: Eddy the pirate has 3 pieces of gold. For every gold coin he has, he gets a matching emerald from the captain. How many emeralds does Eddy have now?

Gemma 2B:

    Reasoning: Eddy gets 1 emerald for every gold coin, so he gets 3 x 1 = 3 emeralds.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Eddy was very happy with his emerald collection. Seeing this, the captain decided to award him with 4 rubies for each emerald he had. How many rubies did Eddy get from the captain?

Gemma 2B:

    Reasoning: Eddy got 4 rubies for each of his 3 emeralds, so he got 4 x 3 = 12 rubies.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A dolphin can jump 20 feet above water. Given that every 10 feet is considered a level, what level does the dolphin reach when it jumps?

Gemma 2B:

    Reasoning: Since the dolphin jumps 20 feet, and every 10 feet is a level, the dolphin reaches 20/10 = 2 levels.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: After observing the dolphin's jumping level, researchers discovered that dolphins can increase their jump level by 11 times when aided by a strong wave. What would be the dolphin's level if it gets help from a strong wave?

Gemma 2B:

    Reasoning: The dolphin's jumping level is 2, and with a strong wave, it can increase its level by 11 times, so it reaches a level of 2 * 11 = 22.
    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: In light winds, the jumping level of the dolphin decreases to 20 feet instead of the usual 20 feet per level. Given that every 11 feet is still considered a level, what level does the dolphin now reach when it jumps in light winds?

Gemma 2B:

    Reasoning:  The dolphin jumps 20 feet, and each level is 11 feet.  Therefore, the dolphin reaches 20/11 = 1.82 levels. Since we can't have a fraction of a level, we round down to the nearest whole level.
    ### Answer: 1

Expected answer: 20/11

Correct? No

🔗 Problem

Problem: Jill has 28 balls which she wants to distribute equally among her 7 friends. How many balls will each friend get?

Gemma 2B:

    Jill wants to distribute 28 balls among 7 friends.  To find out how many balls each friend gets, we divide the total number of balls by the number of friends: 28 balls / 7 friends = 4 balls per friend.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, Jill divided her 28 balls equally among her 7 friends. But what if Jill decided to divide the 28 balls equally among 10 friends instead? How many balls will each friend get then?

Gemma 2B:

    If Jill divides her 28 balls equally among 10 friends, each friend will get 28 balls / 10 friends = 2.8 balls.  Since you can't have a fraction of a ball, each friend would get 2 whole balls, and there would be some balls left over.

    ### Answer: 2

Expected answer: 14/5

Correct? No

🔗 Problem

Problem: In a robotic factory, there are 8 machines on the assembly line. Each of these machines can manufacture the same number of robots per day as there are machines. How many robots can the entire factory produce in one day?

Gemma 2B:

    Reasoning: Since there are 8 machines and each machine produces 8 robots per day, the entire factory produces 8*8 = 64 robots per day.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: After assessing the weekly production, the robotic factory's management decided to replace one of the machines with a maintenance station, bringing the total number of machines down to 7. Now, if each of these 7 machines can manufacture the same number of robots per day as there are machines, how many robots would the factory produce in a day?

Gemma 2B:

    Reasoning: With 7 machines, and each machine producing 7 robots per day, the factory now produces 7*7 = 49 robots per day.
    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: In a geometry class, Maya was given a task to divide a line segment into smaller segments. Initially, the line segment was 15 cm long. She decided to cut it into equal parts each 5 cm long. How many segments did Maya get in the end?

Gemma 2B:

    Reasoning: Maya divided the 15 cm line segment into 15/5 = 3 segments.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Maya realized that if she had divided the original 15 cm line segment into 7 cm pieces, the number of segments would have been different. If she cut the 15 cm line into equal pieces of 7 cm each, how many segments would she have obtained then?

Gemma 2B:

    Reasoning: Maya can create 2 full segments of 7 cm each (2 * 7 = 14 cm) because 15 cm is not fully divisible by 7 cm. There will be a remainder of 1 cm.

    Since we are dealing with whole segments, Maya would have obtained 2 segments.
    ### Answer: 2

Expected answer: 15/7

Correct? No

🔗 Problem

Problem: Tommy has 5 types of cheese. He multiplies this by 5 to provide variety on his cheese platter for a party. How many types of cheese does Tommy have for his cheese platter now?

Gemma 2B:

    Tommy now has 5 * 5 = 25 types of cheese for his platter.
    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: If Tommy originally had 7 types of cheese instead of 5, and he still intended to multiply this by 5 to provide variety on his cheese platter, how many types of cheese would Tommy have for his cheese platter then?

Gemma 2B:

    If Tommy originally had 7 types of cheese, he would have 7 * 5 = 35 types of cheese on his platter.
    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: The width of a river increases by 10 feet every year. After 9 years, how much has the width of the river increased?

Gemma 2B:

    Reasoning: The width of the river increases by 10 feet every year, so after 9 years, the increase would be 10 feet/year * 9 years = 90 feet.

    ### Answer: 90 feet

Expected answer: 90

Correct? Yes

🔗 Follow-up

Problem: If the width of the river only increases by 10 feet every 3 years instead of every year, how much does the river's width increase after 9 years?

Gemma 2B:

    Reasoning: The river increases by 10 feet every 3 years, so in 9 years it will increase 3 times. That means the total increase is 3 * 10 feet = 30 feet.

    ### Answer: 30 feet

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: Jessica has a collection of stuffed animals. She currently groups them in sets of 4. If she has 20 stuffed animals in total, how many groups does she have?

Gemma 2B:

    Reasoning: Jessica has 20/4 = <<20/4=5>> 5 groups of stuffed animals.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Originally, Jessica decided to group her collection of 20 stuffed animals into sets of 4. But what if she had originally decided to group her stuffed animals into sets of 4, but she only had 9 stuffed animals instead of 20? How many groups would she have then?

Gemma 2B:

    Reasoning: If Jessica only had 9 stuffed animals and wanted to group them into sets of 4, she would have 9/4 = 2 groups with a remainder of 1. Since she can't have a partial group, Jessica would have 2 complete groups and 1 stuffed animal left over.
    ### Answer: 2

Expected answer: 9/4

Correct? No

🔗 Problem

Problem: Tom has a set of 5 drums. Each of the drums has a length of 8 inches. Find out, How long would it be if he put all of his drums side by side?

Gemma 2B:

    Reasoning: If Tom has 5 drums and each drum is 8 inches long, the total length would be 5 * 8 = 40 inches.

    ### Answer: 40 inches

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: Following the last question, Tom decided to add a second row of drums beneath the first. If he maintains the same length of 8 inches per drum and the same number of 5 drums per row, how long will the two rows of drums combined be if placed side by side?

Gemma 2B:

    Reasoning: We know from the previous question that one row of 5 drums is 40 inches long. With a second row of drums, the total length would be doubled.  So, the total length of the two rows would be 40 inches * 2 = 80 inches.

    ### Answer: 80 inches

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: Following the previous question, let's consider a different scenario. Suppose, initially, each of Tom's 5 drums were 11 inches long instead of 8. How long would it be if he put all of his drums side by side?

Gemma 2B:

    Reasoning: If Tom has 5 drums and each drum is 11 inches long, the total length would be 5 * 11 = 55 inches.

    ### Answer: 55 inches

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: Jack has 5 apples and decides to multiply it by 6 to get the total number of oranges he can trade them for. How many oranges can he get?

Gemma 2B:

    Jack cannot multiply the number of apples by 6 to get the number of oranges. This is because there is no direct relationship between the number of apples and the number of oranges that can be traded. The number of oranges he can get would depend on the exchange rate between apples and oranges, which is not provided in the problem.

    ### Answer: This problem cannot be solved with the given information.

Expected answer: 30

Correct? No

🔗 Problem

Problem: A set of marker pens come with 6 different colors. If a whole pack contains 72 marker pens, how many sets of different colors are there in it?

Gemma 2B:

    Reasoning: To find out how many sets of different colors there are, we divide the total number of pens by the number of colors in a set.
    Therefore, there are 72/6 = <<72/6=12>> 12 sets of different colors in the pack.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A dragon guards a cave that contains 80 pieces of gold. The dragon decided to equally distribute the gold into 8 separate piles. How many pieces of gold does each pile contain?

Gemma 2B:

    Reasoning: To find out how many pieces of gold are in each pile, we need to divide the total gold (80 pieces) by the number of piles (8).
    80 pieces of gold / 8 piles = 10 pieces of gold per pile.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: After dividing the gold into 8 piles, the dragon decided to protect the most important treasure trove, which contains 4 times the number of gold pieces in each pile. How much gold is in the dragon's special pile?

Gemma 2B:

    Reasoning: We know that each of the 8 piles contains 10 pieces of gold. The dragon's special pile has 4 times that amount.
    So, the special pile contains 10 pieces * 4 = 40 pieces of gold.

    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider the original situation. Suppose the dragon initially had 80 pieces of gold but decided to divide them into 11 piles instead of 8. How many pieces of gold would each pile contain in this scenario?

Gemma 2B:

    Reasoning: To find out how many pieces of gold are in each pile when divided into 11 piles, we need to divide the total gold (80 pieces) by the number of piles (11).
    80 pieces of gold / 11 piles = 7.27 pieces of gold per pile.

    Since we can't have fractions of gold pieces, we need to think about how to distribute the gold.  We can put 7 pieces of gold in each pile, and we'll have some leftover.

    ### Answer: 7

Expected answer: 80/11

Correct? No

🔗 Problem

Problem: John wants to divide his camping area of 44 square meters into 11 equal sections. Each of these sections would host a tent. If each tent can accommodate 12 campers, how many campers can camp in total?

Gemma 2B:

    Reasoning:  John will have 44/11 = <<44/11 = 4>> 4 sections for tents.
    Each section can accommodate 12 campers, so in total he can fit 4*12 = <<4*12=48>> 48 campers.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A tiger can travel 6 miles in an hour. How far can it travel in 3 hours?

Gemma 2B:

    Reasoning: If a tiger travels 6 miles in one hour, then in three hours it will travel 6*3 = <<6*3=18>> miles.

    ### Answer: 18 miles

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In the previous problem we found out that a tiger can travel 6 miles in an hour. But what if the tiger could cover more ground in the same time span? If the tiger can travel 7 times as far in an hour, how far can it travel then?

Gemma 2B:

    Reasoning: If the tiger can travel 7 times as far in an hour as it could before, then in one hour it can travel 7 * 6 = <<7*6=42>> miles.

    ### Answer: 42 miles

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: A number sets of 6 are multiplied by 7. What is the resulting product?

Gemma 2B:

    Reasoning:  Multiplying a number of sets of 6 by 7 is the same as multiplying 6 by 7 and then multiplying the result by the number of sets.  6 multiplied by 7 is 42.

    ### Answer: 42 times the number of sets.

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem. Consider that instead of multiplying 6 sets by 7, we multiply 4 sets by 7. What is the resulting product now?

Gemma 2B:

    Reasoning:  Multiplying 4 sets of 6 by 7 is the same as multiplying 6 by 7 and then multiplying the result by 4.  6 multiplied by 7 is 42, and 42 multiplied by 4 is 168.

    ### Answer: 168

Expected answer: 28

Correct? No

🔗 Problem

Problem: A doctor works double shift every day. If one shift is 6 hours, for how many hours does the doctor work each day?

Gemma 2B:

    The doctor works 6*2 = 12 hours each day.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Following his extra shifts, the doctor wants to reduce his workload. He decides to work 11 hours a day instead. How many hours does he work in a two-day period now?

Gemma 2B:

    The doctor works 11*2=22 hours in a two-day period.
    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A farmer plants 6 seeds in each row of his field. If he has 11 rows total, how many seeds did he plant?

Gemma 2B:

    Reasoning: The farmer planted 6 seeds per row, and he has 11 rows, so he planted a total of 6*11 = <<6*11=66>> seeds.

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: Mommy has a tradition that for every month, she buys 5 new toys for her baby. If the baby is 10 months old, how many toys has Mommy bought in total?

Gemma 2B:

    Mommy buys 5 toys per month, and the baby is 10 months old.
    Therefore, Mommy has bought a total of 5 x 10 = 50 toys.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: After reflecting on her toy buying habits, Mommy realizes that she bought too many toys in the beginning. Instead of buying 5 new toys every month for 10 months, she now remembers that there was a month when she didn't buy any toys. Therefore, she only bought 5 toys per month for 9 months. How many toys did she actually buy during that period?

Gemma 2B:

    Mommy bought 5 toys per month for 9 months.
    Therefore, she bought a total of 5 x 9 = 45 toys.
    ### Answer: 45

Expected answer: 45

Correct? Yes