🔗 Problem

Problem: On a slide, for each 1 meter of sliding, Isaac gains 3 times the speed. If Isaac slides down 1 meter, how much speed does he gain?

Gemma 2B:

    Reasoning: Isaac gains 3 times the speed for every 1 meter of sliding. So, for 1 meter, he gains 3 times the initial speed.
    Let's say the initial speed is x. Then, the speed after 1 meter is x + 3x = 4x.
    ### Answer: 3x

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: In light of the original problem, suppose for each 1 meter of sliding, Isaac now gains 5 times the speed instead of 3 times the speed. In this case, how much speed does he gain after sliding 1 meter?

Gemma 2B:

    Reasoning: Isaac gains 5 times the speed for every 1 meter of sliding. So, for 1 meter, he gains 5 times the initial speed.
    Let's say the initial speed is x. Then, the speed after 1 meter is x + 5x = 6x.
    ### Answer: 5x

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: In the forest, for every 9 brown bears there are 11 times as many black bears. If there are 9 brown bears, how many black bears are there in the forest?

Gemma 2B:

    Reasoning: For every 9 brown bears, there are 11 times as many black bears. This means that the number of black bears is 9 x 11 = 99.
    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: In a particular pond, there are 7 fish. If each fish has 2 sides, how many fish sides are there in total in the pond?

Gemma 2B:

    Reasoning: Each fish has 2 sides, so the total number of fish sides is equal to the number of fish multiplied by 2. In this case, there are 7 fish, so the total number of fish sides is 7 x 2 = 14.
    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: In an experiment, it is determined that the fuel needed for a rocket is a product of the mass of that rocket and 12. If the mass of the rocket is 8, how much fuel is needed for the rocket?

Gemma 2B:

    Reasoning: The fuel needed for the rocket is a product of the mass of the rocket and 12. The mass of the rocket is given as 8. To find the fuel needed, we multiply the mass by 12.

    8 x 12 = 96

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: In a further experiment, a third rocket with the same mass of 8 is tested, but this time it is equipped with an improved fuel system that requires less fuel. Now, this rocket requires only 5 units of fuel per mass. How much fuel is this third rocket going to need?

Gemma 2B:

    Reasoning: The mass of the rocket remains the same, which is 8. The new fuel system requires 5 units of fuel per mass. To find the fuel needed, we multiply the mass by 5.

    8 x 5 = 40

    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: Theresa planted 80 flower seeds evenly among 10 plots. This means each plot received a certain amount of flower seeds. If she later planted an extra plot with the same amount of seeds as in each of the previous plots, how many seeds did she use for the extra plot?

Gemma 2B:

    Reasoning: Theresa planted 80 seeds evenly among 10 plots, so each plot received 80/10 = 8 seeds.
    She later planted an extra plot with the same amount of seeds as in each of the previous plots, which is 8 seeds.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: In addition to planting seeds in the plots, Theresa wanted to give 7 gift bags each containing as many seeds as the number she planted in each plot. How many seeds should Theresa set aside for the gift bags?

Gemma 2B:

    Reasoning: Theresa planted 8 seeds in each of the 11 plots (10 original plots + 1 extra plot), so she planted a total of 8 x 11 = 88 seeds in the plots.
    She wants to give 7 gift bags, each containing as many seeds as she planted in each plot, which is 8 seeds. So, she needs to set aside 7 x 8 = 56 seeds for the gift bags.
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Follow-up

Problem: In a change of plans, Theresa divided the 80 seeds evenly between only 2 plots instead of 10. This meant each plot now received a different number of seeds than before. If she later planted an extra plot with the same amount of seeds as in each of the new plots, how many seeds did she use for the extra plot?

Gemma 2B:

    Reasoning: Theresa originally had 80 seeds and divided them evenly between 10 plots, so each plot received 80/10 = 8 seeds.
    She then divided the same 80 seeds evenly between only 2 plots, so each plot received 80/2 = 40 seeds.
    She later planted an extra plot with the same amount of seeds as in each of the new plots, which is 40 seeds.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A dress needs 1 yard of fabric for 1 section. How many yards of fabric are needed to make that section of the dress?

Gemma 2B:

    Reasoning: The problem states that 1 yard of fabric is needed for 1 section of the dress, so the number of yards needed is equal to the number of sections.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Going back to the first part of the previous problem, suppose that each section of the dress actually requires 6 yards of fabric instead of 1. How many yards of fabric are needed for one section of the dress in this case?

Gemma 2B:

    Reasoning: The problem states that each section of the dress requires 6 yards of fabric, so the number of yards needed for one section is 6.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Captain Blackbeard buries 11 treasure chests in a secret underground cave. To keep the treasure safe, he creates a magical spell that triples the amount of treasure chests inside the cave. How many treasure chests will be in the cave after the spell is cast?

Gemma 2B:

    Reasoning: Initially, there are 11 treasure chests in the cave.
    The magical spell triples the amount of treasure chests, which means it multiplies the number of chests by 3.
    So, the number of treasure chests becomes 11 x 3 = <<11 x 3=33>>33.
    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: Remembering his magical spell, Captain Blackbeard starts to second guess himself. What if his magical spell had only doubled the amount of treasure chests instead of tripling? How many treasure chests would be in the cave in that case, after the spell is cast?

Gemma 2B:

    Reasoning: Initially, there are 11 treasure chests in the cave.
    The magical spell doubles the amount of treasure chests, which means it multiplies the number of chests by 2.
    So, the number of treasure chests becomes 11 x 2 = <<11 x 2=22>>22.
    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: If a baby giraffe grows by 4 feet every year, how tall would the giraffe be after 11 years?

Gemma 2B:

    Reasoning: The giraffe grows by 4 feet every year, so after 11 years, it would have grown a total of 11 x 4 = 44 feet.
    The giraffe starts at 0 feet tall, so after 11 years, it would be 44 feet tall.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: If instead the baby giraffe grows by 4 feet every year, how tall would the giraffe be after 7 years?

Gemma 2B:

    Reasoning: The giraffe grows by 4 feet every year, so after 7 years, it would have grown a total of 7 x 4 = 28 feet.
    The giraffe starts at 0 feet tall, so after 7 years, it would be 28 feet tall.
    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

Problem: Pete has 4 pieces of rope. If each piece of rope is 8 feet long, how many feet of rope does Pete have in total?

Gemma 2B:

    Reasoning: Pete has 4 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we multiply the number of pieces by the length of each piece.

    4 pieces x 8 feet/piece = 4 x 8 = 32 feet

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: After examining his ropes, Pete figures out that he needs to use all of his rope for a project. If he combines all 4 pieces of his 8 foot long ropes, how many feet of rope will he have for his project?

Gemma 2B:

    Reasoning: Pete already knows that he has 4 pieces of rope, each 8 feet long. To find the total length of rope, we can simply add the lengths of the individual pieces:

    8 feet + 8 feet + 8 feet + 8 feet = 32 feet

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Follow-up

Problem: Upon rechecking his inventory, Pete realizes he actually has 12 pieces of rope not 4. If each of these 12 ropes are 8 feet each, how much total length of rope does Pete have now?

Gemma 2B:

    Reasoning: Pete has 12 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we multiply the number of pieces by the length of each piece.

    12 pieces x 8 feet/piece = 12 x 8 = 96 feet

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Problem

Problem: In the Marine Institute, there are 81 starfish. If these starfish are equally distributed in 9 tanks, how many starfish will be placed in each tank?

Gemma 2B:

    Reasoning: To find the number of starfish in each tank, we need to divide the total number of starfish (81) by the number of tanks (9).

    81 ÷ 9 = 9

    So, 9 starfish will be placed in each tank.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: Earlier, we learned the Marine Institute distributed 81 starfish equally across 9 tanks. But what if they had only 12 starfish instead? How many starfish would equal distribution across the 9 tanks result in then?

Gemma 2B:

    Reasoning: Since the starfish are to be distributed equally across 9 tanks, we can find the number of starfish that would be in each tank by dividing the total number of starfish by 9.

    Let's say the total number of starfish is x. Then, the number of starfish in each tank would be x ÷ 9.

    We know that the total number of starfish is 12, so we can set up the equation:

    x ÷ 9 = 1 (since we want to find the number of starfish that would result in 1 starfish per tank)

    To solve for x, we can multiply both sides of the equation by 9:

    x = 9

    So, the number of starfish that would result in equal distribution across 9 tanks is 9.

    ### Answer: 9

Expected answer: 4/3

Correct? No

🔗 Problem

Problem: In a sandbox, Lisa found a toy. If she finds twice as many toys every next day, how many toys will she find on the second day?

Gemma 2B:

    Reasoning: If Lisa finds twice as many toys every next day, that means on the second day, she will find 2 times the number of toys she found on the first day.
    Since she found 1 toy on the first day, she will find 2 x 1 = 2 toys on the second day.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: After finding toys in the sandbox for two days, Lisa decides to bury and later dig up the exact square of the number of toys she found on the second day. How many toys will Lisa bury and dig up if she follows this plan?

Gemma 2B:

    Reasoning: Lisa found 2 toys on the second day. The square of 2 is 2 x 2 = 4.
    So, Lisa will bury and dig up 4 toys.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Instead of finding twice as many toys as the previous day, Lisa now finds ten times as many toys as the previous day. How many toys will she find on the second day following this new rule?

Gemma 2B:

    Reasoning: If Lisa finds ten times as many toys every next day, that means on the second day, she will find 10 times the number of toys she found on the first day.
    Since she found 1 toy on the first day, she will find 10 x 1 = 10 toys on the second day.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A robot can process information in 11 microseconds, but it has to be divided by 11 to match the system's speed. How quickly can the robot process information to match the system's speed?

Gemma 2B:

    Reasoning: The robot can process information in 11 microseconds, but it needs to be divided by 11 to match the system's speed. This means we need to divide 11 by 11, which gives us 1.
    The robot can process information in 1 microsecond to match the system's speed.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Given that the robot processed information to match the system's speed, it needed to multiply this new processing speed by itself to calculate its efficiency rate. What is the robot's efficiency rate?

Gemma 2B:

    Reasoning: The robot's new processing speed is 1 microsecond. To calculate its efficiency rate, it needs to multiply this speed by itself, which gives us 1 × 1 = 1.
    The robot's efficiency rate is 1, which means it is 100% efficient.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: If the robot's processing speed were slightly faster and instead was able to process information in 12 microseconds which still needed to be divided by 11 to match the system's speed, how quickly could the robot process information to match the system's speed then?

Gemma 2B:

    Reasoning: The robot can process information in 12 microseconds, but it needs to be divided by 11 to match the system's speed. This means we need to divide 12 by 11, which gives us 1.09 (approximately).
    The robot can process information in approximately 1.09 microseconds to match the system's speed.
    ### Answer: 1.09

Expected answer: 12/11

Correct? No

🔗 Problem

Problem: Each tomato seed will produce 3 tomatoes. If Nina plants 6 tomato seeds, how many tomatoes will she produce in total?

Gemma 2B:

    Reasoning: Each tomato seed will produce 3 tomatoes, so 6 tomato seeds will produce 6 x 3 = 18 tomatoes.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Each of these tomatoes will produce 3 new seeds of its own. Using all the seeds from the tomatoes that Nina grows, how many new tomato plants could she potentially grow?

Gemma 2B:

    Reasoning: Nina will grow 18 tomatoes, and each tomato will produce 3 new seeds. So, the total number of new seeds is 18 x 3 = 54 seeds.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: An alien is learning the human language. For every human word, they can transmit it to their spaceship 11 times per minute. How many words will the alien be able to transmit after 1 minute if they learn a new word?

Gemma 2B:

    Reasoning: The alien can transmit each word 11 times per minute. Since they learn a new word, they will transmit only 1 word. Therefore, they will transmit the word 11 times.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: In the above problem, the alien learned another new word. If they transmit each word 11 times per minute and the alien can now transmit two words, how many transmissions will the alien be able to make after 1 minute?

Gemma 2B:

    Reasoning: The alien can transmit each word 11 times per minute. Since they can now transmit 2 words, they will transmit each word 11 times. Therefore, they will transmit a total of 11 + 11 = 22 times.
    ### Answer: 22

Expected answer: 22

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, instead of transmitting each word 11 times per minute, suppose the alien can only transmit each word 3 times per minute. How many transmissions will the alien be able to make after 1 minute if they learn a new word?

Gemma 2B:

    Reasoning: The alien can transmit each word 3 times per minute. Since they learn a new word, they will transmit only 1 word. Therefore, they will transmit the word 3 times.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A unicorn travels 35 miles over 7 hours. How many miles does the unicorn travel in one hour?

Gemma 2B:

    Reasoning: The unicorn travels 35 miles in 7 hours. To find the distance traveled in one hour, we can divide the total distance by the number of hours.

    35 miles ÷ 7 hours = 5 miles per hour

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: If the unicorn maintains the same speed, how many miles would it travel in 3 hours?

Gemma 2B:

    Reasoning: Since the unicorn maintains the same speed, we can multiply the speed (5 miles per hour) by the number of hours (3 hours) to find the total distance traveled.

    5 miles/hour × 3 hours = 15 miles

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: If instead the unicorn traveled 35 miles in 2 hours, how many miles would the unicorn travel in one hour?

Gemma 2B:

    Reasoning: The unicorn travels 35 miles in 2 hours. To find the distance traveled in one hour, we can divide the total distance by the number of hours.

    35 miles ÷ 2 hours = 17.5 miles per hour

    ### Answer: 17.5

Expected answer: 35/2

Correct? Yes

🔗 Problem

Problem: Superhero Green Gauntlet has the ability to multiply his strength by a factor of 3. If Jetstream, another superhero, has 5 times the strength of Green Gauntlet, what is the strength of Jetstream?

Gemma 2B:

    Reasoning: Let's first find the strength of Green Gauntlet. Since he can multiply his strength by a factor of 3, his strength is 3 times his original strength. Let's call his original strength x. Then, his strength is 3x.

    Since Jetstream has 5 times the strength of Green Gauntlet, Jetstream's strength is 5 times the strength of Green Gauntlet. So, Jetstream's strength is 5(3x) = 15x.

    ### Answer: 15x

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problem, suppose Spectra, another superhero, has 5 times the strength of Jetstream. What is the strength of Spectra?

Gemma 2B:

    Reasoning: We already found that Jetstream's strength is 15x. Since Spectra has 5 times the strength of Jetstream, Spectra's strength is 5 times Jetstream's strength. So, Spectra's strength is 5(15x) = 75x.

    ### Answer: 75x

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: Jason is stringing beads onto a necklace. If each necklace requires 6 beads, how many beads will be needed to make 1 necklace?

Gemma 2B:

    Reasoning: Since each necklace requires 6 beads, the number of beads needed to make 1 necklace is 6.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Jason had made one necklace requiring 6 beads, but now he wants to make a total of 3 necklaces. How many beads will he need in total to make these 3 necklaces?

Gemma 2B:

    Reasoning: Since each necklace requires 6 beads, to make 3 necklaces, Jason will need 3 x 6 = 18 beads.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In the original problem, Jason made one necklace using 6 beads. But what if he wanted to use a new design that requires 8 times as many beads as his original design? How many beads would Jason need to create this new necklace?

Gemma 2B:

    Reasoning: Since the original design requires 6 beads, the new design requires 8 times as many beads, which is 6 x 8 = 48 beads.

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A puzzle box indicates that you need to multiply 2 by 3 to unlock it. What is the unlock code for the puzzle box?

Gemma 2B:

    Reasoning: The puzzle box indicates that you need to multiply 2 by 3 to unlock it, which means the unlock code is the result of multiplying 2 by 3.

    2 × 3 = 6

    So, the unlock code for the puzzle box is 6.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: After successfully unlocking the puzzle box with the code obtained by multiplying 2 by 3, a new challenge appears on the screen inside the box. It tells you to multiply the previous code by 12 to get the final secret code to complete the puzzle. What is the final code?

Gemma 2B:

    Reasoning: We previously obtained the code by multiplying 2 by 3, which is 6. The new challenge tells us to multiply this code by 12 to get the final secret code.

    6 × 12 = 72

    So, the final code is 72.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: After completing the previous challenge, another puzzle appears on the next screen inside the box. It instructs you to multiply 2 by 7 instead of 3. What number will you get by following this new instruction for the puzzle?

Gemma 2B:

    Reasoning: The new instruction is to multiply 2 by 7, which means we need to calculate the result of 2 × 7.

    2 × 7 = 14

    So, by following this new instruction, we will get the number 14.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: Peter has 6 different wallets and in each wallet, he has 9 dollars. If he stacks all the money in one wallet, how much money will be in that wallet?

Gemma 2B:

    Reasoning: Peter has 6 wallets, and each wallet has 9 dollars. To find the total amount of money, we multiply the number of wallets by the amount of money in each wallet: 6 x 9 = 54.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: If Peter then puts all of the money from the one wallet into a piggy bank, how much money will be in the piggy bank?

Gemma 2B:

    Reasoning: Peter already had 54 dollars in the wallet. Since he puts all the money from the wallet into the piggy bank, the amount of money in the piggy bank is still 54 dollars.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: If Peter originally had 12 dollars in each of the 6 wallets instead of 9, how much money would be in the one wallet then?

Gemma 2B:

    Reasoning: Peter has 6 wallets, and each wallet has 12 dollars. To find the total amount of money, we multiply the number of wallets by the amount of money in each wallet: 6 x 12 = 72.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: A butterfly flaps its wings 9 times in one second. How many times does it flap its wings in 11 seconds?

Gemma 2B:

    Reasoning: The butterfly flaps its wings 9 times in 1 second. To find out how many times it flaps its wings in 11 seconds, we can multiply the number of times it flaps its wings in 1 second by the number of seconds.

    9 times/second × 11 seconds = 99 times

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: Now consider that the butterfly only flaps its wings 9 times in one second. How many times would it flap its wings in 4 seconds?

Gemma 2B:

    Reasoning: The butterfly flaps its wings 9 times in 1 second. To find out how many times it flaps its wings in 4 seconds, we can multiply the number of times it flaps its wings in 1 second by the number of seconds.

    9 times/second × 4 seconds = 36 times

    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A plane travels at a constant speed of 12 miles per minute. How many miles would the plane cover in 6 minutes?

Gemma 2B:

    Reasoning: The plane travels at a constant speed of 12 miles per minute. To find the distance covered in 6 minutes, we can multiply the speed by the time:

    Distance = Speed x Time
    = 12 miles/minute x 6 minutes
    = 72 miles

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: If the plane's speed was instead 11 miles per minute, how many miles would the plane cover in the same time period of 6 minutes?

Gemma 2B:

    Reasoning: The plane travels at a constant speed of 11 miles per minute. To find the distance covered in 6 minutes, we can multiply the speed by the time:

    Distance = Speed x Time
    = 11 miles/minute x 6 minutes
    = 66 miles

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: Josephine has 27 pairs of ice skates and wants to divide them equally among the 9 stores where she works. How many pairs of ice skates will each store receive?

Gemma 2B:

    Reasoning: To find out how many pairs of ice skates each store will receive, we need to divide the total number of pairs (27) by the number of stores (9).

    27 ÷ 9 = 3

    So, each store will receive 3 pairs of ice skates.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: In a different scenario, Josephine originally had 9 pairs of ice skates instead of 27 that she wanted to distribute equally among the 9 stores. How many pairs of ice skates would each store receive in this case?

Gemma 2B:

    Reasoning: To find out how many pairs of ice skates each store will receive, we need to divide the total number of pairs (9) by the number of stores (9).

    9 ÷ 9 = 1

    So, each store will receive 1 pair of ice skates.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Each soap factory produces 7 bars of soap every hour. If a factory remains operational for 11 hours, how many bars of soap are produced?

Gemma 2B:

    Reasoning: Each factory produces 7 bars of soap every hour. Since there are 11 hours, the total number of bars produced by each factory is 7 x 11 = 77.

    Since there is only one factory, the total number of bars produced is 77.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Problem

Problem: Billy has 9 sets of kite with each set containing 3 kites. How many kites does he have in total?

Gemma 2B:

    Reasoning: Billy has 9 sets of kites, and each set has 3 kites. To find the total number of kites, we multiply the number of sets by the number of kites in each set: 9 x 3 = 27.
    ### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: Billy decides to double his collection of kites. After doubling the initial amount, how many kites will he have in total?

Gemma 2B:

    Reasoning: Billy initially has 27 kites. To double his collection, we multiply the initial amount by 2: 27 x 2 = 54.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Billy initially thought he had 9 sets of kites, but he actually had 11 sets. Given that each set contains 9 kites, how many kites does he really have in total?

Gemma 2B:

    Reasoning: Billy initially thought he had 9 sets of kites, but he actually has 11 sets. To find the total number of kites, we multiply the actual number of sets by the number of kites in each set: 11 x 9 = 99.
    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: In a fairy tale, a magical creature multiplies a number by itself and gets an outcome. If the magical creature uses the number 4, what will be the outcome?

Gemma 2B:

    Reasoning: The magical creature multiplies the number 4 by itself, which means it squares the number 4. The square of 4 is 4 × 4 = 16.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: Continuing the fairy tale, the magical creature took the outcome from her previous spell and multiplied it by 5. What is the new number after this spell?

Gemma 2B:

    Reasoning: The magical creature had the outcome of 16 from the previous spell, and now it multiplies 16 by 5. The result is 16 × 5 = 80.
    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: Continuing the magical story, suppose the magical creature had initially started with the number 11 instead of 4, and had multiplied this number by 4. What would have been the outcome of the first spell in that case?

Gemma 2B:

    Reasoning: The magical creature multiplies the number 11 by 4, which means it multiplies 11 by 4. The result of this multiplication is 11 × 4 = 44.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: There are 27 chairs and they need to be equally distributed among 3 rooms. How many chairs will each room have?

Gemma 2B:

    Reasoning: To find out how many chairs each room will have, we need to divide the total number of chairs (27) by the number of rooms (3).

    27 ÷ 3 = 9

    So, each room will have 9 chairs.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Follow-up

Problem: At first, there were 12 rooms instead of 3 to distribute the 27 chairs into. How many chairs would each room have in this case?

Gemma 2B:

    Reasoning: To find out how many chairs each room will have, we need to divide the total number of chairs (27) by the number of rooms (12).

    27 ÷ 12 = 2.25

    Since you can't have a fraction of a chair, we'll round down to the nearest whole number. In this case, each room would have 2 chairs.

    ### Answer: 2

Expected answer: 9/4

Correct? No

🔗 Problem

Problem: A store stocks 56 toy cars uniformly over 8 shelves. How many toy cars are there per shelf?

Gemma 2B:

    Reasoning: To find the number of toy cars per shelf, we can divide the total number of toy cars (56) by the number of shelves (8).

    56 ÷ 8 = 7

    So, there are 7 toy cars per shelf.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: Now, imagine if the store decided to stock only one toy car per shelf instead, distributing 8 toy cars uniformly over 8 shelves. How many toy cars would be there per shelf?

Gemma 2B:

    Reasoning: Since the store is distributing 8 toy cars uniformly over 8 shelves, each shelf will have the same number of toy cars.

    To find the number of toy cars per shelf, we can divide the total number of toy cars (8) by the number of shelves (8).

    8 ÷ 8 = 1

    So, there would be 1 toy car per shelf.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a restaurant, every pizza slice takes 6 minutes to cook and a full pizza has 3 slices. If the restaurant wants to make 3 full pizzas, how long will it take in total?

Gemma 2B:

    Reasoning: Each full pizza has 3 slices, and it takes 6 minutes to cook each slice. So, it takes 3 x 6 = 18 minutes to cook one full pizza.
    The restaurant wants to make 3 full pizzas, so it will take 18 x 3 = 54 minutes to cook all 3 full pizzas.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: In addition to the 3 pizzas, the restaurant also wants to make a special pizza that takes the same amount of time as the 3 pizzas combined. How long will it take to make the special pizza?

Gemma 2B:

    Reasoning: We already calculated that it takes 54 minutes to cook the 3 full pizzas. The special pizza takes the same amount of time as the 3 pizzas combined, so it will also take 54 minutes to cook.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: The restaurant has revised its pizza cooking time. Now, each slice of pizza takes only 1 minute to cook but a full pizza still has 3 slices. Now, how long will it take to make 3 full pizzas?

Gemma 2B:

    Reasoning: Each full pizza has 3 slices, and it takes 1 minute to cook each slice. So, it takes 3 x 1 = 3 minutes to cook one full pizza.
    The restaurant wants to make 3 full pizzas, so it will take 3 x 3 = 9 minutes to cook all 3 full pizzas.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Arthur drives his car 7 hours each day for 4 days. How many total hours did Arthur spend driving his car over this period?

Gemma 2B:

    Reasoning: Arthur drives his car for 7 hours each day, and he does this for 4 days. To find the total hours, we multiply the number of hours per day by the number of days: 7 hours/day x 4 days = 28 hours.
    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Follow-up

Problem: Considering the previous problem, what if Arthur only drove his car for 2 hours each day for that same 4-day period? How many total hours did Arthur spend driving his car over this period?

Gemma 2B:

    Reasoning: Arthur drives his car for 2 hours each day, and he does this for 4 days. To find the total hours, we multiply the number of hours per day by the number of days: 2 hours/day x 4 days = 8 hours.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: If each blanket requires 6 yards of yarn for one section, and each finished blanket is made up of 5 such sections, how many yards of yarn do you need to create one blanket?

Gemma 2B:

    Reasoning: Each blanket requires 6 yards of yarn for one section, and each finished blanket is made up of 5 such sections. So, the total amount of yarn required for one blanket is 6 x 5 = 30 yards.
    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, if you were given the task to make two blankets with the same size and design, how many yards of yarn would you need in total?

Gemma 2B:

    Reasoning: We already know that one blanket requires 30 yards of yarn. To make two blankets, we would need 2 x 30 = 60 yards of yarn.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: Following the initial problem, consider if each blanket requires six yards of yarn for just one section, but the new design demands that a blanket is made up of 12 such sections. How many yards of yarn would you now need to create one blanket with this new design?

Gemma 2B:

    Reasoning: Each blanket requires 6 yards of yarn for one section, and the new design demands that a blanket is made up of 12 such sections. So, the total amount of yarn required for one blanket is 6 x 12 = 72 yards.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: A bus travels at a speed of 7 miles per hour. How many miles will the bus travel after 6 hours?

Gemma 2B:

    Reasoning: The bus travels at a constant speed of 7 miles per hour. To find the distance traveled, we multiply the speed by the time: 7 miles/hour x 6 hours = 7 x 6 = 42 miles.
    ### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, consider that the bus was actually traveling at a speed of 10 miles per hour, not 7. How many miles would the bus have travelled after 6 hours in this case?

Gemma 2B:

    Reasoning: The bus travels at a constant speed of 10 miles per hour. To find the distance traveled, we multiply the speed by the time: 10 miles/hour x 6 hours = 10 x 6 = 60 miles.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: Superhero Starlight has a power level that is the product of multiplying 3 by 5. What is Starlight's power level?

Gemma 2B:

    Reasoning: To find Starlight's power level, we need to multiply 3 by 5. This can be done by multiplying the numbers together.

    3 × 5 = 15

    So, Starlight's power level is 15.

    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: Superhero Starlight, after completing her special power-up training, can now increase her initial power level by three times. If her initial power level was the product of multiplying 3 by 5, what is her new power level after the power-up training?

Gemma 2B:

    Reasoning: Initially, Starlight's power level was 3 × 5 = 15. After the power-up training, her power level increases by three times. To find the new power level, we multiply the initial power level by 3.

    15 × 3 = 45

    So, Starlight's new power level after the power-up training is 45.

    ### Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: Considering that Superhero Starlight initially had a power level that was the product of multiplying 3 by 5, let's imagine if her initial power level was actually the product of multiplying 3 by 6. What would her initial power level be in this scenario?

Gemma 2B:

    Reasoning: If Starlight's initial power level is the product of multiplying 3 by 6, we need to multiply 3 by 6 to find her initial power level.

    3 × 6 = 18

    So, in this scenario, Starlight's initial power level would be 18.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: Jessica has a backpack that when you measure one side, is 10 inches long. What is the area of one side of Jessica's backpack assuming it is a perfect square?

Gemma 2B:

    Reasoning: Since the backpack is a perfect square, all sides are equal. The area of a square is found by multiplying the length of one side by itself. In this case, the length of one side is 10 inches, so the area is 10 x 10 = 100 square inches.
    ### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Follow-up

Problem: Now consider that Jessica has another backpack, this one has a side that measures 4 inches. What is the area of one side of this backpack, again assuming it is a perfect square?

Gemma 2B:

    Reasoning: Since the backpack is a perfect square, all sides are equal. The area of a square is found by multiplying the length of one side by itself. In this case, the length of one side is 4 inches, so the area is 4 x 4 = 16 square inches.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: Captain Sparrow found 36 gold doubloons. He wants to divide it equally among his 3 crew members. How many gold doubloons will each crew member get?

Gemma 2B:

    Reasoning: To divide the gold doubloons equally among the 3 crew members, we need to find the quotient of the total number of gold doubloons (36) divided by the number of crew members (3).

    36 ÷ 3 = 12

    So each crew member will get 12 gold doubloons.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: Suppose Captain Sparrow had initially found 36 gold doubloons, but this time he wants to divide them equally among 7 crew members, not 3. How many gold doubloons will each crew member get now?

Gemma 2B:

    Reasoning: To divide the gold doubloons equally among the 7 crew members, we need to find the quotient of the total number of gold doubloons (36) divided by the number of crew members (7).

    36 ÷ 7 = 5.14 (approximately)

    Since we can't divide gold doubloons into fractions, we'll round down to the nearest whole number. In this case, each crew member will get 5 gold doubloons.

    ### Answer: 5

Expected answer: 36/7

Correct? No

🔗 Problem

Problem: A robot factory produces 5 robots each hour. If the factory increases its output to twice this amount, how many robots will it produce each hour?

Gemma 2B:

    Reasoning: The factory originally produces 5 robots per hour. If it increases its output to twice this amount, it will produce 5 x 2 = 10 robots per hour.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the robot factory increased its output to twice its original amount, making 10 robots each hour. If the factory were to then multiply this new hourly output by the same amount they were originally making each hour (5 robots), how many robots would the factory make every hour?

Gemma 2B:

    Reasoning: The factory originally produced 5 robots per hour. It then increased its output to 10 robots per hour, which is 2 times the original amount. If it now multiplies this new hourly output by the same amount it was originally making each hour (5 robots), it will produce 10 x 5 = 50 robots per hour.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the robot factory was originally making 5 robots each hour. However, if the factory were to increase its output to six times the original amount instead, how many robots would it produce each hour?

Gemma 2B:

    Reasoning: The factory originally produces 5 robots per hour. If it increases its output to six times this amount, it will produce 5 x 6 = 30 robots per hour.
    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: If one bike wheel has a radius of 81 / 9 units, and the height of a certain signpost is 9 times this radius, what is the height of the signpost?

Gemma 2B:

    Reasoning: The radius of the bike wheel is 81 / 9 = 9 units.
    The height of the signpost is 9 times the radius, so it is 9 x 9 = 81 units.
    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: If one bike wheel still has a radius of 81/9 units, but now the height of a certain bike rack is only 6 times this radius, what is the height of the bike rack?

Gemma 2B:

    Reasoning: The radius of the bike wheel is still 81 / 9 = 9 units.
    The height of the bike rack is 6 times the radius, so it is 6 x 9 = 54 units.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: On a sunny day, Jamie took some time to swing on a tree. He swung 11 times in every minute and he spent 1 minute swinging. How many times did Jamie swing in total?

Gemma 2B:

    Reasoning: Jamie swung 11 times in every minute, and he spent 1 minute swinging.
    So, he swung 11 x 1 = <<11 x 1=11>>11 times in total.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Following on from the previous problem, if Jamie continued swinging at the same pace for 3 more minutes, how many times would he have swung in total over those extra minutes?

Gemma 2B:

    Reasoning: Jamie swung 11 times in every minute, and he spent 3 more minutes swinging.
    So, he swung 11 x 3 = <<11 x 3=33>>33 times in those extra minutes.
    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: After his first session, Jamie took a break and then returned to the swing. This second time, he swung 6 times per minute for one minute. How many times did he swing in that minute?

Gemma 2B:

    Reasoning: Jamie swung 6 times per minute, and he spent 1 minute swinging.
    So, he swung 6 x 1 = <<6 x 1=6>>6 times in that minute.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: James has 9 robot toys and he buys the same amount again. How many robot toys does he have now?

Gemma 2B:

    Reasoning: James has 9 robot toys initially.
    He buys the same amount again, which is 9.
    So, he now has 9 + 9 = 18 robot toys.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Let's say instead of initially having 9 robot toys and buying the same amount again, James originally had 9 robot toys, but this time, he decided to buy 5 more sets of 9 toys each. How many robot toys does James have now?

Gemma 2B:

    Reasoning: James has 9 robot toys initially.
    He buys 5 more sets of 9 toys each, which is 5 x 9 = 45.
    So, he now has 9 + 45 = 54 robot toys.
    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Problem

Problem: A farmer has 11 chickens and each chicken lays 7 eggs in a week. How many eggs do the chickens lay in total in a week?

Gemma 2B:

    Reasoning: The farmer has 11 chickens, and each chicken lays 7 eggs in a week. To find the total number of eggs laid, we multiply the number of chickens by the number of eggs each chicken lays:

    11 chickens x 7 eggs/chicken = 11 x 7 = 77

    So, the chickens lay 77 eggs in total in a week.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: The farmer from the previous problem sells each egg for 1 dollar. How much money does the farmer make in a week by selling all the eggs?

Gemma 2B:

    Reasoning: The farmer has 77 eggs and sells each egg for $1. To find the total amount of money the farmer makes, we multiply the number of eggs by the price of each egg:

    77 eggs x $1/egg = 77 x 1 = 77

    So, the farmer makes $77 in a week by selling all the eggs.

    ### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, if the farmer only had 2 chickens instead of 11, and each chicken still lays 7 eggs in a week, how many eggs would the chickens lay in total in a week?

Gemma 2B:

    Reasoning: If the farmer has 2 chickens, and each chicken lays 7 eggs in a week, we can find the total number of eggs laid by multiplying the number of chickens by the number of eggs each chicken lays:

    2 chickens x 7 eggs/chicken = 2 x 7 = 14

    So, the 2 chickens would lay 14 eggs in total in a week.

    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: In an enchanting forest, a certain type of tree grows 4 centimeters each day. If it only grows half of this amount each night, how many centimeters does the tree grow overnight?

Gemma 2B:

    Reasoning: The tree grows 4 centimeters each day, which means it grows 4/2 = 2 centimeters each night, since it grows half as much at night as it does during the day.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: The enchanted tree that has been growing in the forest doesn't stop there. Overnight, it grows half of its daily growth rate, which is 4 cm. If this overnight height is multiplied by 10, how long is the final growth of the tree over these 10 nights?

Gemma 2B:

    Reasoning: The tree grows 4 cm each day, and half of that (2 cm) each night. Overnight, it grows 2 cm, and if this is multiplied by 10, the total growth overnight is 2 x 10 = 20 cm.
    Over 10 nights, the total growth is 20 cm x 10 = 200 cm.
    ### Answer: 200

Expected answer: 20

Correct? No

🔗 Follow-up

Problem: The enchanted tree that was previously growing at an overnight rate of 4 cm changes its growth pattern. Now, it starts to grow at a rate of 10 centimeters each day, but it still grows only half of this amount each night. How many centimeters does the tree now grow overnight?

Gemma 2B:

    Reasoning: The tree now grows 10 centimeters each day, and it grows half of this amount each night. Half of 10 is 10/2 = 5 centimeters.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: In a laboratory experiment, a group of 77 mice are divided equally among 11 cages. How many mice would be in each cage?

Gemma 2B:

    Reasoning: To find the number of mice in each cage, we need to divide the total number of mice (77) by the number of cages (11).

    77 ÷ 11 = 7

    So, there would be 7 mice in each cage.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: After having divided the mice among the 11 cages, the scientist realized that she made a mistake and originally there were only 77 mice but some of them were counted twice. After correcting for this mistake, she realized that she actually only had 77 / 2 mice. How many mice did the scientist have originally?

Gemma 2B:

    Reasoning: Since the scientist had 77 / 2 mice after correcting for the mistake, we can multiply this number by 2 to find the original number of mice.

    77 / 2 = 38.5 (but we can't have a fraction of a mouse, so we'll round down to 38)

    38 × 2 = 76

    So, the scientist originally had 76 mice.

    ### Answer: 76

Expected answer: 77/2

Correct? No

🔗 Problem

Problem: Sally makes earrings. She needs 35 beads to make a set of earrings, but she divides this amount by 5 to make each individual earring. If she wants to make 8 earrings, how many beads will she need in total?

Gemma 2B:

    Reasoning: Sally needs 35 beads to make a set of earrings, but she divides this amount by 5 to make each individual earring. So, she needs 35/5 = 7 beads for each earring.
    To make 8 earrings, she will need 7 x 8 = 56 beads.
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Follow-up

Problem: Sally realizes that she made a mistake in her calculations for making earrings. Instead of needing 35 beads for a set of earrings, she only needs 35 beads for a display of five earrings. Therefore, she recalculates and finds that to make each earring she only needs to divide this new amount by five. If she wants to make just 2 earrings, how many beads will she need now?

Gemma 2B:

    Reasoning: Sally needs 35 beads for a display of 5 earrings, so she needs 35/5 = 7 beads for each earring.
    To make 2 earrings, she will need 7 x 2 = 14 beads.
    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: Brenda has 9 apples and wishes to divide them equally amongst her 9 friends, so each friend receives the same amount. How many apples will each friend get?

Gemma 2B:

    Reasoning: To find out how many apples each friend will get, we need to divide the total number of apples (9) by the number of friends (9).

    9 ÷ 9 = 1

    So, each friend will get 1 apple.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: In a new scenario, Brenda has 9 apples but this time she only wants to divide them evenly among her 2 closest friends. Given this change, how many apples will each friend receive now?

Gemma 2B:

    Reasoning: To find out how many apples each friend will get, we need to divide the total number of apples (9) by the number of friends (2).

    9 ÷ 2 = 4.5

    Since you can't divide apples into fractions, we'll round down to the nearest whole number. In this case, each friend will get 4 apples.

    ### Answer: 4

Expected answer: 9/2

Correct? No

🔗 Problem

Problem: In a circus, a tightrope is set 10 feet off the ground. A stuntman wants to do a daring stunt - he wants to walk from one side of the tightrope to the other. The tightrope is five times the height above the ground. What distance will he need to walk to complete his stunt?

Gemma 2B:

    Reasoning: The tightrope is set 10 feet off the ground, and it is five times the height above the ground, so the height of the tightrope is 10 x 5 = 50 feet.
    The distance the stuntman needs to walk is the length of the tightrope, which is the height of the tightrope multiplied by 2 (since it is a straight line from one side to the other). So, the distance is 50 x 2 = 100 feet.
    ### Answer: 100

Expected answer: 50

Correct? No

🔗 Problem

Problem: The length of one side of a square is equal to the result of dividing 30 by 6. What is the total area of the square?

Gemma 2B:

    Reasoning: The length of one side of the square is equal to the result of dividing 30 by 6, which is 30/6 = 5.
    The area of a square is found by multiplying the length of one side by itself, which is 5*5 = 25.
    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: The length of one side of a square is equal to the result of dividing 30 by 6. The total area of the square is found by multiplying the length of one side by itself. Now, if we multiply this area by 3, what will be the new value?

Gemma 2B:

    Reasoning: The length of one side of the square is equal to the result of dividing 30 by 6, which is 30/6 = 5.
    The area of the square is found by multiplying the length of one side by itself, which is 5*5 = 25.
    If we multiply this area by 3, we get 25*3 = 75.
    ### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

Problem: In the original problem, the length of one side of the square was found by dividing 30 by 6. Now consider a new scenario where the length of the square is instead found by dividing number 12 by 6. What would be the total area of this new square?

Gemma 2B:

    Reasoning: The length of one side of the square is equal to the result of dividing 12 by 6, which is 12/6 = 2.
    The area of a square is found by multiplying the length of one side by itself, which is 2*2 = 4.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A certain star emits 7 particles every second. If this continues for 8 seconds, how many particles does the star emit in total?

Gemma 2B:

    Reasoning: The star emits 7 particles every second, and it continues to emit particles for 8 seconds.
    To find the total number of particles emitted, we multiply the number of particles emitted per second (7) by the number of seconds (8): 7 x 8 = 56
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Follow-up

Problem: If the first star, instead of emitting particles for 8 seconds, only emits particles for 5 seconds, how many particles will then it emit?

Gemma 2B:

    Reasoning: The star still emits 7 particles every second, but it only emits particles for 5 seconds instead of 8 seconds.
    To find the total number of particles emitted, we multiply the number of particles emitted per second (7) by the number of seconds (5): 7 x 5 = 35
    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: A shoe factory can create 24 shoes in three hours. If the factory runs for five hours, how many shoes will be produced?

Gemma 2B:

    Reasoning: The factory can create 24 shoes in 3 hours, so the rate of production is 24/3 = 8 shoes per hour.
    If the factory runs for 5 hours, the total number of shoes produced will be 8 x 5 = 40.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: The shoe factory increased its production time from five hours to ten hours. Now, how many shoes will the factory produce if it's still able to create 24 shoes every three hours?

Gemma 2B:

    Reasoning: The factory can create 24 shoes in 3 hours, so the rate of production is still 24/3 = 8 shoes per hour.
    If the factory runs for 10 hours, the total number of shoes produced will be 8 x 10 = 80.
    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Problem

Problem: A unique species of butterfly only lives for 5 days in each month. Considering this fact, how many days total does the butterfly species live in a span of a year, which is 12 months?

Gemma 2B:

    Reasoning: The butterfly lives for 5 days in each month. Since there are 12 months in a year, the total number of days the butterfly lives is 5 x 12 = 60.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: Considering the same unique species of butterfly, but now in a different region it only lives for 5 days each week instead of per month. How many days total does the butterfly species live in a 7-week span?

Gemma 2B:

    Reasoning: The butterfly lives for 5 days each week. Since there are 7 weeks in the span, the total number of days the butterfly lives is 5 x 7 = 35.
    ### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: In fairy land, one ordinary mushroom provides food for 10 fairies for a day. If a magic mushroom can provide food as 4 ordinary mushrooms, how many fairies can a magic mushroom feed for a day?

Gemma 2B:

    Reasoning: One ordinary mushroom provides food for 10 fairies, so 4 ordinary mushrooms will provide food for 4 x 10 = 40 fairies.
    A magic mushroom can provide food as 4 ordinary mushrooms, so it can provide food for 40 fairies.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: In fairy land, change the original number of fairies an ordinary mushroom can feed from 10 to 11. With this change, how many fairies can a magic mushroom, which can provide food as 4 ordinary mushrooms, feed for a day?

Gemma 2B:

    Reasoning: One ordinary mushroom provides food for 11 fairies, so 4 ordinary mushrooms will provide food for 4 x 11 = 44 fairies.
    A magic mushroom can provide food as 4 ordinary mushrooms, so it can provide food for 44 fairies.
    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: A river is flowing at a rate of 4 kilometers per hour. How far can the river flow in 10 hours?

Gemma 2B:

    Reasoning: The river is flowing at a rate of 4 kilometers per hour. To find the distance it can flow in 10 hours, we can multiply the rate by the time:

    Distance = Rate x Time
    = 4 km/h x 10 h
    = 40 km

    ### Answer: 40 km

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: If the speed of the river were instead 4 kilometers per hour for 2 hours, how far would the river flow within these 2 hours?

Gemma 2B:

    Reasoning: The river is flowing at a rate of 4 kilometers per hour. To find the distance it can flow in 2 hours, we can multiply the rate by the time:

    Distance = Rate x Time
    = 4 km/h x 2 h
    = 8 km

    ### Answer: 8 km

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A slide is double the height of Ava who is 12 feet tall. How tall is the slide?

Gemma 2B:

    Reasoning: Since the slide is double the height of Ava, we can set up an equation: Slide height = 2 x Ava's height
    Ava's height is given as 12 feet, so we can substitute this value into the equation: Slide height = 2 x 12
    Slide height = 24 feet
    ### Answer: 24 feet

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: Following up on the last problem: If Ava decides to triple the height of the slide that is double her height, how high will the new slide be?

Gemma 2B:

    Reasoning: We already know the height of the original slide is 24 feet. If Ava decides to triple the height of the slide, we can multiply the original height by 3:

    New slide height = Original slide height x 3
    = 24 x 3
    = 72 feet

    ### Answer: 72 feet

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, Ava was initially considering a slide double her height when she was 12 feet tall. However, let's say Ava is actually 11 feet tall. In that case, how high would the slide be if it was still double her height?

Gemma 2B:

    Reasoning: Since the slide is double Ava's height, we can set up an equation: Slide height = 2 x Ava's height
    Ava's height is now given as 11 feet, so we can substitute this value into the equation: Slide height = 2 x 11
    Slide height = 22 feet
    ### Answer: 22 feet

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: There's a tap which fills a tank at a rate of 2 liters per minute. How much water will be in the tank after 9 minutes?

Gemma 2B:

    Reasoning: The tap fills the tank at a rate of 2 liters per minute. To find the total amount of water in the tank after 9 minutes, we need to multiply the rate by the time.

    2 liters/minute x 9 minutes = 18 liters

    ### Answer: 18 liters

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: What if the tap was turned on for 7 minutes instead of 9 minutes? How much water would the tap fill in the tank in that case?

Gemma 2B:

    Reasoning: The tap fills the tank at a rate of 2 liters per minute. To find the total amount of water in the tank after 7 minutes, we need to multiply the rate by the time.

    2 liters/minute x 7 minutes = 14 liters

    ### Answer: 14 liters

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: Fred received 12 letters in one week and he reads them evenly over 3 days. How many letters does he read per day?

Gemma 2B:

    Reasoning: Fred received 12 letters in one week, which means he received 12/7 = 1.71 letters per day (approximately).
    Since he reads them evenly over 3 days, we can divide the total number of letters by 3 to find the number of letters he reads per day: 12 ÷ 3 = 4.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Fred received 11 letters in one week instead of 12. If he still reads them evenly over 3 days, how many letters does he read per day now?

Gemma 2B:

    Reasoning: Fred received 11 letters in one week, which means he received 11/7 = 1.57 letters per day (approximately).
    Since he reads them evenly over 3 days, we can divide the total number of letters by 3 to find the number of letters he reads per day: 11 ÷ 3 = 3.67.
    ### Answer: 3.67

Expected answer: 11/3

Correct? No

🔗 Problem

Problem: A toy car factory produces 8 cars every hour 24/7. If the factory runs for 12 hours a day, how many cars will it produce in one day?

Gemma 2B:

    Reasoning: The factory produces 8 cars every hour. Since it runs for 12 hours a day, it will produce 8 x 12 = <<8*12=96>>96 cars in one day.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: After the shifts mentioned in the previous problem, the toy car factory decides to change its production rate. Now, instead of producing 8 cars per hour as before, it produces 5 cars per hour. If the factory continues to run for 12 hours a day, how many cars will it produce in one day now?

Gemma 2B:

    Reasoning: The factory produces 5 cars every hour. Since it runs for 12 hours a day, it will produce 5 x 12 = <<5*12=60>>60 cars in one day.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: If baby Lily got 44 toys divided evenly among her 4 cousins, each cousin would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?

Gemma 2B:

    Reasoning: If the 44 toys are divided evenly among 4 cousins, each cousin would get 44/4 = 11 toys.
    If we multiply 'i' by 5, we are multiplying the number of toys each cousin gets by 5. So, 11 × 5 = 55.
    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: If instead Baby Lily originally got 44 toys but this time, she divided them evenly among her 11 friends, each friend would get 'i' number of toys. If we multiply 'i' by 5, how many toys would that represent?

Gemma 2B:

    Reasoning: If Baby Lily divides 44 toys evenly among 11 friends, each friend would get 44/11 = 4 toys.
    If we multiply 'i' by 5, we are multiplying the number of toys each friend gets by 5. So, 4 × 5 = 20.
    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Mike has $9 and he wants to divide it equally among his 3 children. How much money will each child recieve?

Gemma 2B:

    Reasoning: To divide the money equally among the 3 children, we need to find the amount each child will receive. To do this, we can divide the total amount of money ($9) by the number of children (3).

    $9 ÷ 3 = $3

    So each child will receive $3.

    ### Answer: $3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: If each of Mike's children decided to save the money they received from their father every month for a year, how much money would each child have saved by the end of the year?

Gemma 2B:

    Reasoning: Each child received $3 initially. If they save this amount every month for a year, they will save a total of:

    $3 x 12 = $36

    So each child will have saved $36 by the end of the year.

    ### Answer: $36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: If Mike had $11 instead of $9 and he still decided to divide it equally among his 3 children, how much money would each child receive now?

Gemma 2B:

    Reasoning: Since Mike now has $11 and he still wants to divide it equally among his 3 children, we can divide the new total amount of money ($11) by the number of children (3).

    $11 ÷ 3 = $3.67

    So each child would receive $3.67.

    ### Answer: $3.67

Expected answer: 11/3

Correct? No

🔗 Problem

Problem: If a cow produces 72 liters of milk in 12 days, and you need to find out how much milk it produces in a day, then use this amount to calculate how much milk the cow will produce in 12 days.

Gemma 2B:

    Reasoning: To find out how much milk the cow produces in a day, we need to divide the total amount of milk produced in 12 days by 12.
    72 liters / 12 days = 6 liters/day
    Now, if we multiply the daily production by 12, we can find out how much milk the cow will produce in 12 days.
    6 liters/day * 12 days = 72 liters
    ### Answer: 72 liters

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: If instead the cow produced 72 liters of milk in 10 days, and you still wanted to find out how much milk it would produce in 12 days, how much would that be?

Gemma 2B:

    Reasoning: To find out how much milk the cow produces in a day, we need to divide the total amount of milk produced in 10 days by 10.
    72 liters / 10 days = 7.2 liters/day
    Now, we need to find out how much milk the cow would produce in 2 additional days (12 - 10 = 2 days).
    7.2 liters/day * 2 days = 14.4 liters
    Adding this to the total amount of milk produced in 10 days, we get:
    72 liters + 14.4 liters = 86.4 liters
    ### Answer: 86.4 liters

Expected answer: 432/5

Correct? No

🔗 Problem

Problem: On a map, 30 miles is represented as 10 inches. How many miles does 1 inch represent?

Gemma 2B:

    Reasoning: If 30 miles is represented as 10 inches, then 1 mile is represented as 10/30 = 1/3 inches.
    So, 1 inch represents 1/3 miles.
    ### Answer: 1/3

Expected answer: 3

Correct? No

🔗 Problem

Problem: A truck has 8 tires. If each tire can carry a load of 8 tons, how much total load can the truck carry when all tires are fully loaded?

Gemma 2B:

    Reasoning: Since the truck has 8 tires, and each tire can carry a load of 8 tons, the total load that the truck can carry is the product of the number of tires and the load per tire.
    8 tires x 8 tons/tire = 8 x 8 = 64 tons
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: If the truck with all the tires fully loaded is carrying cargo weighing the same as the total load the tires can handle, what would be the total weight being carried by the truck?

Gemma 2B:

    Reasoning: Since the truck can carry a total load of 64 tons, and each tire can carry a load of 8 tons, the total weight being carried by the truck is the same as the total load the tires can handle, which is 64 tons.

    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, each tire was capable of carrying a load of 8 tons. But what if each tire was only capable of carrying a load of 3 tons? How much total load could the truck carry then when all tires are fully loaded?

Gemma 2B:

    Reasoning: Since the truck has 8 tires, and each tire can carry a load of 3 tons, the total load that the truck can carry is the product of the number of tires and the load per tire.
    8 tires x 3 tons/tire = 8 x 3 = 24 tons
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: If you have 4 fruits and each fruit provides 1 cup of juice, how many cups of juice can you get in total?

Gemma 2B:

    Reasoning: Since each fruit provides 1 cup of juice, and you have 4 fruits, you can multiply the number of fruits by the amount of juice each fruit provides to get the total amount of juice.

    4 fruits x 1 cup/fruit = 4 cups

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: If instead you started with just 1 fruit, how many cups of juice would you be able to make?

Gemma 2B:

    Reasoning: Since each fruit provides 1 cup of juice, and you have 1 fruit, you can multiply the number of fruits by the amount of juice each fruit provides to get the total amount of juice.

    1 fruit x 1 cup/fruit = 1 cup

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Sara has a box of colored pencils, and she has 5 colors. If she has 5 of each type, how many colored pencils does Sara have in total?

Gemma 2B:

    Reasoning: Sara has 5 colors, and for each color, she has 5 pencils. To find the total number of pencils, we multiply the number of colors by the number of pencils for each color: 5 colors x 5 pencils/color = 5 x 5 = 25 pencils.
    ### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Sara decided to duplicate her complete set of colored pencils and she bought exactly the same amount as she had. Now, how many colored pencils does Sara have in total?

Gemma 2B:

    Reasoning: Sara already had 25 colored pencils. She duplicated her set, which means she added the same amount again. So, she added 25 more pencils to her original set. To find the new total, we add the original amount to the amount she added: 25 + 25 = 50 pencils.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: Sara suddenly realized that she had miscalculated; she actually has 11 of each type of colored pencil, not 5. With this correction, how many colored pencils does Sara really have?

Gemma 2B:

    Reasoning: Sara has 5 colors, and for each color, she has 11 pencils. To find the total number of pencils, we multiply the number of colors by the number of pencils for each color: 5 colors x 11 pencils/color = 5 x 11 = 55 pencils.
    ### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Problem

Problem: In a word, each letter corresponds to a point in a game. If you have a 12-letter word, how many points will you get if each letter corresponds to 1 point in the game?

Gemma 2B:

    Reasoning: Since each letter corresponds to 1 point, and the word has 12 letters, the total number of points is equal to the number of letters, which is 12.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: You have decided to play 8 rounds of the same game. If you continue to use the same 12-letter word in each round, how many points will you accumulate in total from all the rounds?

Gemma 2B:

    Reasoning: Since you are using the same 12-letter word in each round, and each letter corresponds to 1 point, the total number of points in each round is 12.

    To find the total number of points accumulated in all 8 rounds, multiply the number of points in each round by the number of rounds:

    12 points/round × 8 rounds = 96 points

    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: You decide to change your strategy in the next game and instead use a 9-letter word. If each letter still corresponds to 1 point, how many points will you get in this game?

Gemma 2B:

    Reasoning: Since each letter corresponds to 1 point, and the word has 9 letters, the total number of points is equal to the number of letters, which is 9.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Jake has 7 crates, each containing 7 bottles of water. How many bottles of water does he have in total?

Gemma 2B:

    Reasoning: Jake has 7 crates, and each crate contains 7 bottles of water. To find the total number of bottles, we multiply the number of crates by the number of bottles per crate: 7 x 7 = 49.
    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

Problem: Jake decided to not drink any of the water just yet and stored all the bottles in his garage. After leaving the bottles in the garage untouched, how many bottles does Jake still have?

Gemma 2B:

    Reasoning: Jake still has the same number of bottles, 49, as he didn't drink any of them and they are still stored in his garage.
    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Problem

Problem: A piano has 4 legs. If there are 2 pianos in the music room, how many legs are there in total?

Gemma 2B:

    Reasoning: Each piano has 4 legs, and there are 2 pianos. To find the total number of legs, we multiply the number of pianos by the number of legs each piano has: 2 x 4 = 8.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Considering from the previous question, what if each piano only had 3 legs instead of 4. With 2 pianos in the music room, how many legs would there be in total?

Gemma 2B:

    Reasoning: Each piano has 3 legs, and there are 2 pianos. To find the total number of legs, we multiply the number of pianos by the number of legs each piano has: 2 x 3 = 6.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A keyring holds 2 keys but each keyring must be split between two people. How many keys does each person get?

Gemma 2B:

    Reasoning: Since each keyring holds 2 keys, and each keyring must be split between two people, each person will get 2/2 = 1 key.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Following the previous scenario, if there are 11 keyrings in total, how many keys does each person get?

Gemma 2B:

    Reasoning: Since each keyring holds 2 keys, the total number of keys is 11 x 2 = 22 keys.
    Since each keyring must be split between two people, the total number of people is 11 (keyrings) / 2 = 5.5 people (since you can't split a keyring between a fraction of a person, we round down to 5 people).
    Each person will get 22 keys / 5 people = 4.4 keys (but since you can't give a fraction of a key, we round down to 4 keys).
    ### Answer: 4

Expected answer: 11

Correct? No

🔗 Follow-up

Problem: In the previous scenario, suppose now that each keyring holds 3 keys, but still has to be split amongst two people. How many keys does each person get now?

Gemma 2B:

    Reasoning: Since each keyring holds 3 keys, and each keyring must be split between two people, each person will get 3/2 = 1.5 keys. Since you can't divide keys into halves, we can round down to 1 key per person.
    ### Answer: 1

Expected answer: 3/2

Correct? No

🔗 Problem

Problem: Javier has 9 crates of bottles. Each crate contains 6 bottles, how many bottles does Javier have?

Gemma 2B:

    Reasoning: Javier has 9 crates, and each crate contains 6 bottles. To find the total number of bottles, we multiply the number of crates by the number of bottles per crate: 9 x 6 = 54.

    ### Answer: 54

Expected answer: 54

Correct? Yes

🔗 Follow-up

Problem: Javier decided to pack more bottles into his crates. Now, each crate contains 8 bottles instead of 6. How many bottles does Javier have now with his 9 crates?

Gemma 2B:

    Reasoning: Javier still has 9 crates, but now each crate contains 8 bottles instead of 6. To find the total number of bottles, we multiply the number of crates by the new number of bottles per crate: 9 x 8 = 72.

    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Problem

Problem: A shirt costs 10 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros?

Gemma 2B:

    Reasoning: Since 1 dollar equals 1 euro, we can directly convert the price of the shirt from dollars to euros. The shirt costs 10 dollars, so it costs 10 euros.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: Following the previous question: if the exchange rate changes and now 1 euro equals 1 dollar, how much will the shirt cost in dollars now?

Gemma 2B:

    Reasoning: Since the exchange rate has changed and now 1 euro equals 1 dollar, we can directly convert the price of the shirt from euros to dollars. The shirt costs 10 euros, so it still costs 10 dollars.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: After the price changes, the shirt now costs 9 dollars. If 1 dollar equals 1 euro, how much does the shirt cost in euros now?

Gemma 2B:

    Reasoning: Since the price of the shirt has decreased by 1 dollar, it now costs 9 dollars. Since 1 dollar equals 1 euro, we can directly convert the new price of the shirt from dollars to euros. The shirt now costs 9 dollars, so it costs 9 euros.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: If a plant grows 12 flowers each month, how many flowers will it grow in 5 months?

Gemma 2B:

    Reasoning: The plant grows 12 flowers each month. To find the total number of flowers it will grow in 5 months, we can multiply the number of flowers it grows per month by the number of months:

    12 flowers/month × 5 months = 12 × 5 = 60

    So, the plant will grow 60 flowers in 5 months.

    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: A beach ball is being blown up to be twice the size of its original size of 3 feet in diameter. What will be the diameter of the beach ball after it is blown up?

Gemma 2B:

    Reasoning: The diameter of the beach ball will increase by a factor of 2, from 3 feet to 2 x 3 = 6 feet.
    ### Answer: 6 feet

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Suppose the original size of the beach ball was actually 5 feet in diameter, not 3 feet as previously stated. If it is still being blown up to be twice its original size, what will be the diameter of the beach ball after it is blown up now?

Gemma 2B:

    Reasoning: The diameter of the beach ball will increase by a factor of 2, from 5 feet to 2 x 5 = 10 feet.
    ### Answer: 10 feet

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A farmer has a total of 24 tomatoes. He wants to equally divide them into 4 boxes. How many tomatoes will there be in each box?

Gemma 2B:

    Reasoning: To find the number of tomatoes in each box, we need to divide the total number of tomatoes (24) by the number of boxes (4).

    24 ÷ 4 = 6

    So, there will be 6 tomatoes in each box.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: The farmer then decides to combine all the tomatoes from the 4 boxes back into one large container. How many tomatoes will there be in the large container?

Gemma 2B:

    Reasoning: Since the farmer combined all the tomatoes from the 4 boxes, we need to add the number of tomatoes in each box to find the total number of tomatoes in the large container.

    Each box had 6 tomatoes, and there were 4 boxes, so:

    6 x 4 = 24

    The farmer started with 24 tomatoes and combined them all into one large container, so there will still be 24 tomatoes in the large container.

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: In a different scenario, if the farmer had decided to equally divide the 24 tomatoes between only 2 boxes instead of 4, how many tomatoes would have been in each box then?

Gemma 2B:

    Reasoning: To find the number of tomatoes in each box, we need to divide the total number of tomatoes (24) by the number of boxes (2).

    24 ÷ 2 = 12

    So, there would have been 12 tomatoes in each box if the farmer had decided to equally divide the 24 tomatoes between only 2 boxes.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: John wants to go out playing with his scooter. He travels a certain distance "B" which he calculates as half of 16. When he gets tired, he multiplies the distance "B" he traveled with 6 to find out the total distance "X" he traveled back and forth in his playing area. What is the total distance "X" he traveled?

Gemma 2B:

    Reasoning: John travels a certain distance "B" which is half of 16, so B = 16/2 = 8.
    He multiplies the distance "B" he traveled with 6 to find out the total distance "X" he traveled back and forth, so X = 8 * 6 = 48.
    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: In the previous situation, John multiplied the distance he traveled with 6. But this time, he decides to ride his scooter for a bit longer. Instead of multiplying by 6, he now multiplies the same initial half of 16, distance "B", by 8 to find out the new total distance "X" he traveled back and forth. What is the new total distance "X" he traveled?

Gemma 2B:

    Reasoning: John travels a certain distance "B" which is half of 16, so B = 16/2 = 8.
    He multiplies the distance "B" he traveled with 8 to find out the new total distance "X" he traveled back and forth, so X = 8 * 8 = 64.
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: Lisa has a favorite TV show that she likes to watch, which happens to be 8 minutes long per episode. If Lisa decides to watch 2 episodes back-to-back without any breaks, how long will she be watching her favorite TV show in total?

Gemma 2B:

    Reasoning: Lisa will be watching 2 episodes, and each episode is 8 minutes long. To find the total time, we multiply the number of episodes by the length of each episode: 2 x 8 = 16.
    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: Now, imagine Lisa spent 5 days over the course of a week doing the same routine of watching 2 episodes back-to-back of her favorite TV show, which is 8 minutes per episode. How long in total did she spend watching her TV show over those 5 days?

Gemma 2B:

    Reasoning: Lisa watched 2 episodes per day, and each episode is 8 minutes long. To find the total time per day, we multiply the number of episodes by the length of each episode: 2 x 8 = 16 minutes.
    Since Lisa did this routine for 5 days, we multiply the time per day by the number of days: 16 x 5 = 80.
    ### Answer: 80

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: In a twist, one day Lisa decided to watch a different TV show, which is 12 minutes long per episode. If she watches 2 episodes of this show back-to-back without any breaks, how long will she be watching this different TV show in total?

Gemma 2B:

    Reasoning: Lisa will be watching 2 episodes, and each episode is 12 minutes long. To find the total time, we multiply the number of episodes by the length of each episode: 2 x 12 = 24.
    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Problem

Problem: Jane has 1 blanket and John has 3 times as many blankets as Jane. How many blankets does John have?

Gemma 2B:

    Reasoning: Since John has 3 times as many blankets as Jane, and Jane has 1 blanket, John has 3 x 1 = <<3 x 1=3>>3 blankets.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: Consider the starting point of the previous problem where Jane had 1 blanket and John had 3 times as many blankets as Jane. Now, suppose that Jane initially has 6 blankets instead of 1. In this new scenario, how many blankets does John have initially?

Gemma 2B:

    Reasoning: Since John has 3 times as many blankets as Jane, and Jane has 6 blankets, John has 3 x 6 = <<3 x 6=18>>18 blankets.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: John has $28 which he wants to divide equally among his 7 children. How many dollars will each child receive?

Gemma 2B:

    Reasoning: To find out how many dollars each child will receive, we need to divide the total amount of money John has ($28) by the number of children (7).

    $28 ÷ 7 = $4

    ### Answer: $4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: If John originally had $10 instead of $28, and he still wanted to divide it equally among his 7 children, how much would each child receive now?

Gemma 2B:

    Reasoning: Since John now has $10, we can divide it by the number of children (7) to find out how much each child will receive.

    $10 ÷ 7 = $1.43

    ### Answer: $1.43

Expected answer: 10/7

Correct? No

🔗 Problem

Problem: A tailor uses 2 meters of fabric to make one shirt. He uses double the fabric for the shirt's lining. If the tailor wants to make 5 shirts with lining, how many meters of fabric will he use for the lining?

Gemma 2B:

    Reasoning: The tailor uses 2 meters of fabric for one shirt, and double the fabric for the lining, which is 2 x 2 = 4 meters.
    For 5 shirts, the tailor will use 5 x 4 = <<5 x 4=20>>20 meters of fabric for the lining.
    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Kate owns a scooter shop. She sells 1 scooter every day. How many scooters will she sell after 8 days?

Gemma 2B:

    Reasoning: Kate sells 1 scooter every day, and she wants to know how many scooters she will sell after 8 days.
    To find the answer, we can multiply the number of scooters she sells per day (1) by the number of days (8).
    1 x 8 = 8
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous situation, after selling 1 scooter a day for 8 days, Kate decides to hold a grand sale for 8 more days where she sells the same number of scooters she sold in the previous 8 days every day. How many additional scooters will she sell during this grand sale?

Gemma 2B:

    Reasoning: Kate sold 8 scooters in the previous 8 days, and she wants to know how many scooters she will sell during the grand sale.
    Since she sells the same number of scooters every day during the grand sale, she will sell 8 scooters per day for 8 days.
    To find the total number of scooters she will sell during the grand sale, we can multiply the number of scooters she sells per day (8) by the number of days (8).
    8 x 8 = 64
    ### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Let's revise the original situation. Instead of selling 1 scooter a day, let's say Kate was actually selling 7 scooters a day for 8 days. How many scooters did she sell in this period?

Gemma 2B:

    Reasoning: Kate sells 7 scooters every day, and she wants to know how many scooters she will sell after 8 days.
    To find the answer, we can multiply the number of scooters she sells per day (7) by the number of days (8).
    7 x 8 = 56
    ### Answer: 56

Expected answer: 56

Correct? Yes

🔗 Problem

Problem: In a forest, one tree produces 10 seeds each year. How many seeds does the tree produce in 1 year?

Gemma 2B:

    Reasoning: The tree produces 10 seeds each year, and we are asked to find the number of seeds produced in 1 year. Since the time period is 1 year, the answer is simply the number of seeds produced each year, which is 10.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: Now imagine that the tree actually produces 12 seeds each year instead of 10. How many seeds does the tree produce in 1 year?

Gemma 2B:

    Reasoning: The tree produces 12 seeds each year, and we are asked to find the number of seeds produced in 1 year. Since the time period is 1 year, the answer is simply the number of seeds produced each year, which is 12.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: The sun shines 12 hours in a day and a scientist wants to divide it into 6 equal parts for an experiment. How many hours are there in each part?

Gemma 2B:

    Reasoning: The sun shines for 12 hours in a day, and the scientist wants to divide it into 6 equal parts. To find the number of hours in each part, we can divide 12 by 6.

    12 ÷ 6 = 2

    So, there are 2 hours in each part.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A group of 12 friends decided to split into smaller groups to play a board game. If they want to have exactly 3 friends in each group, how many groups will there be?

Gemma 2B:

    Reasoning: To find the number of groups, we need to divide the total number of friends (12) by the number of friends in each group (3).

    12 ÷ 3 = 4

    So, there will be 4 groups of 3 friends each.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Following the same scenario where the friends were divided into groups, if each group decided to buy 7 pizzas, how many pizzas would be bought in total?

Gemma 2B:

    Reasoning: Since there are 4 groups, and each group buys 7 pizzas, we can multiply the number of groups by the number of pizzas each group buys:

    4 groups × 7 pizzas/group = 28 pizzas

    So, a total of 28 pizzas would be bought.

    ### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Follow-up

Problem: Continuing from our previous scenario, let's say that instead of having 12 friends, there were actually only 6 friends to begin with. If they still want to divide themselves into groups with 3 friends each, how many group will there be?

Gemma 2B:

    Reasoning: To find the number of groups, we need to divide the total number of friends (6) by the number of friends in each group (3).

    6 ÷ 3 = 2

    So, there will be 2 groups of 3 friends each.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Emma and her friends are building sandcastles on the beach. Each sandcastle uses 6 buckets of sand, and they build 4 sandcastles. Each bucket of sand has 3 shovels full of sand in it. How many shovels of sand do they use in total?

Gemma 2B:

    Reasoning: Each sandcastle uses 6 buckets of sand, and they build 4 sandcastles. So, they use 6 x 4 = 24 buckets of sand.
    Each bucket of sand has 3 shovels full of sand in it. So, they use 24 x 3 = 72 shovels of sand in total.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous situation, Emma and her friends decide to make their sandcastles stronger. They pour a layer of seawater on each shovel used in their sandcastles. If each shovel full of sand requires 1 bottle of seawater, how many bottles of seawater will they need in total?

Gemma 2B:

    Reasoning: They used 72 shovels of sand in total, and they pour a layer of seawater on each shovel. So, they need 72 bottles of seawater.
    ### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Following the previous situation with Emma and her friends building sandcastles, imagine that they had originally started with 5 sandcastles instead of 6. Each of these 5 sandcastles still uses 4 buckets of sand and each of these buckets contains 3 shovels of sand. How many shovels of sand would they have used then?

Gemma 2B:

    Reasoning: Each sandcastle uses 4 buckets of sand, and they build 5 sandcastles. So, they use 4 x 5 = 20 buckets of sand.
    Each bucket of sand has 3 shovels full of sand in it. So, they use 20 x 3 = 60 shovels of sand in total.
    ### Answer: 60

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: Jenna is making bracelets for her friends. Each bracelet requires 12 beads and she has a total of 8 bracelets to make. How many beads will Jenna need in total?

Gemma 2B:

    Reasoning: Each bracelet requires 12 beads, and Jenna has to make 8 bracelets. To find the total number of beads needed, we multiply the number of bracelets by the number of beads per bracelet: 8 x 12 = 96.
    ### Answer: 96

Expected answer: 96

Correct? Yes

🔗 Follow-up

Problem: After reconsidering, Jenna decided to only make 7 bracelets instead of 8. Now, how many beads will Jenna need to make the bracelets?

Gemma 2B:

    Reasoning: Since Jenna is now making 7 bracelets instead of 8, we need to adjust the calculation. Each bracelet requires 12 beads, and Jenna has to make 7 bracelets. To find the total number of beads needed, we multiply the number of bracelets by the number of beads per bracelet: 7 x 12 = 84.
    ### Answer: 84

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: Penny has 66 milliliters of toothpaste in a new tube. If she uses 11 milliliters for each brushing, how many times can she brush her teeth with the new tube of toothpaste?

Gemma 2B:

    Reasoning: Penny has 66 milliliters of toothpaste initially.
    She uses 11 milliliters for each brushing.
    To find out how many times she can brush her teeth, we can divide the initial amount of toothpaste by the amount used per brushing:
    66 ÷ 11 = <<66/11=6>>6
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: If Penny started using 9 milliliters of toothpaste for each brushing instead of 11, how many times could she brush her teeth with the new tube of toothpaste?

Gemma 2B:

    Reasoning: Penny has 66 milliliters of toothpaste initially.
    She uses 9 milliliters for each brushing.
    To find out how many times she can brush her teeth, we can divide the initial amount of toothpaste by the amount used per brushing:
    66 ÷ 9 = <<66/9=7.33>>7.33
    Since you can't brush a fraction of a time, we round down to the nearest whole number:
    7.33 → 7
    ### Answer: 7

Expected answer: 22/3

Correct? No

🔗 Problem

Problem: Vanessa has 4 bunches of grapes and each bunch has 11 grapes. How many grapes does Vanessa have in total?

Gemma 2B:

    Reasoning: Vanessa has 4 bunches of grapes, and each bunch has 11 grapes. To find the total number of grapes, we multiply the number of bunches by the number of grapes in each bunch: 4 x 11 = 44.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: If Vanessa only had 4 bunches of grapes and each bunch had 5 grapes instead of 11, how many grapes would Vanessa have in total then?

Gemma 2B:

    Reasoning: Vanessa has 4 bunches of grapes, and each bunch has 5 grapes. To find the total number of grapes, we multiply the number of bunches by the number of grapes in each bunch: 4 x 5 = 20.

    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Mary has a length of fabric measuring 6 yards. She needs 6 yards of fabric to make a skirt. How many skirts can she make with the fabric she has?

Gemma 2B:

    Reasoning: Mary has 6 yards of fabric, and each skirt requires 6 yards of fabric. To find out how many skirts she can make, we can divide the total amount of fabric she has (6 yards) by the amount of fabric needed for one skirt (6 yards).

    6 yards (fabric) ÷ 6 yards (per skirt) = 1 skirt

    Since Mary can make only 1 skirt with the fabric she has, the answer is 1.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Mary used her 6 yards of fabric to make a skirt. Each skirt she makes, requires 6 yards of fabric. She decides to make as many skirts as skirts she already made (i.e., she wants to multiply the number of skirts by the number of skirts she already made). How many skirts will Mary have made in total?

Gemma 2B:

    Reasoning: Mary already made 1 skirt, and she wants to multiply the number of skirts she already made (1) by the number of skirts she already made (1). This means she wants to multiply 1 by 1, which gives us:

    1 × 1 = 1

    So, Mary will still have made only 1 skirt.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Mary now has a new length of fabric that's 7 yards long. Keeping in mind that each skirt requires 6 yards of fabric, how many skirts can Mary make with the new fabric she has?

Gemma 2B:

    Reasoning: Mary has 7 yards of fabric, and each skirt requires 6 yards of fabric. To find out how many skirts she can make, we can divide the total amount of fabric she has (7 yards) by the amount of fabric needed for one skirt (6 yards).

    7 yards (fabric) ÷ 6 yards (per skirt) = 1.17 skirts

    Since Mary can't make a fraction of a skirt, we'll round down to the nearest whole number. Therefore, Mary can make 1 skirt with the new fabric she has.

    ### Answer: 1

Expected answer: 7/6

Correct? No

🔗 Problem

Problem: Jordan has 9 card packs and each pack contains 1 card. If he decides to double the total number of his cards, how many cards will Jordan have then?

Gemma 2B:

    Reasoning: Jordan has 9 packs, and each pack contains 1 card, so he has a total of 9 cards initially.
    To double the total number of cards, he needs to add 9 x 2 = 18 cards to his current total.
    So, Jordan will have 9 + 18 = 27 cards then.
    ### Answer: 27

Expected answer: 18

Correct? No

🔗 Problem

Problem: A wizard casts a magic spell that lasts 60 minutes. However, his wizard staff can only channel the spell for 6 equal periods of time before it needs a 1-minute break to recharge. How long is each period of the spell?

Gemma 2B:

    Reasoning: The wizard staff can channel the spell for 60 minutes, but it needs a 1-minute break after every 6 periods. This means the total time spent channeling the spell is 60 minutes minus the time spent on breaks. The time spent on breaks is 1 minute x 5 breaks = 5 minutes. So, the total time spent channeling the spell is 60 - 5 = 55 minutes. Since the staff channels the spell for 6 equal periods, we can divide the total time spent channeling the spell by 6 to find the length of each period: 55 minutes / 6 = 9.17 minutes.

    ### Answer: 9.17 minutes

Expected answer: 10

Correct? No

🔗 Problem

Problem: A drummer hits his drum 11 times per minute. How many times does he hit the drum in 8 minutes?

Gemma 2B:

    Reasoning: The drummer hits the drum 11 times per minute. To find the total number of times he hits the drum in 8 minutes, we multiply the number of times he hits the drum per minute by the number of minutes:

    11 times/minute × 8 minutes = 88

    ### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, the drummer was hitting his drum 11 times per minute. But what if his rhythm slows down and he now hits the drum only 2 times per minute. How many times will he hit the drum in 8 minutes then?

Gemma 2B:

    Reasoning: The drummer hits the drum 2 times per minute. To find the total number of times he hits the drum in 8 minutes, we multiply the number of times he hits the drum per minute by the number of minutes:

    2 times/minute × 8 minutes = 16

    ### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: John is packing for a trip and realizes that for each pair of pants, he needs 2 pairs of socks. If he plans to bring 22 pairs of socks, how many pairs of pants should he pack?

Gemma 2B:

    Reasoning: For each pair of pants, John needs 2 pairs of socks. So, the number of pairs of pants is equal to the number of pairs of socks divided by 2.
    Let's divide the number of pairs of socks by 2: 22/2 = 11.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Now, John is reconsidering his packing strategy. Instead of packing two pairs of socks per pair of pants, he thinks he only needs to pack two socks for every pair of pants. If he sticks to this new strategy, how many pairs of pants should he pack for his 4 pairs of socks?

Gemma 2B:

    Reasoning: Since John only needs 2 socks for every pair of pants, the number of pairs of pants is equal to the number of pairs of socks divided by 2.
    Let's divide the number of pairs of socks by 2: 4/2 = 2.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: If a pack of pens contains 8 pens and John has 5 packs, how many pens does he have in total?

Gemma 2B:

    Reasoning: Each pack contains 8 pens, and John has 5 packs.
    To find the total number of pens, we multiply the number of packs by the number of pens per pack: 5 x 8 = <<5 x 8=40>>40.
    ### Answer: 40

Expected answer: 40

Correct? Yes

🔗 Follow-up

Problem: If, instead of 8 pens per pack, there were 6 pens per pack, how many pens would John have in total with his 5 packs?

Gemma 2B:

    Reasoning: Each pack contains 6 pens, and John has 5 packs.
    To find the total number of pens, we multiply the number of packs by the number of pens per pack: 5 x 6 = <<5 x 6=30>>30.
    ### Answer: 30

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: Captain Blackbeard's pirate ship sailed for 60 hours and he divided the total hours equally among the 6 shifts. If each guard is expected to protect the ship for one shift, how many hours will one guard have to protect the ship?

Gemma 2B:

    Reasoning: Captain Blackbeard's pirate ship sailed for 60 hours.
    He divided the total hours equally among the 6 shifts.
    To find the number of hours each shift will have, we divide 60 by 6: 60/6 = 10.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Follow-up

Problem: Suppose there are more guards available and Captain Blackbeard decided to split the total time into 12 shifts instead of 6. How many hours will each guard now have to protect the ship under this new arrangement?

Gemma 2B:

    Reasoning: Captain Blackbeard's pirate ship still sailed for 60 hours.
    He divided the total hours equally among the 12 shifts.
    To find the number of hours each shift will have, we divide 60 by 12: 60/12 = 5.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John needs a rope. Every meter of the rope costs $5. If John needs a 6-meter long rope, how much will it cost him?

Gemma 2B:

    Reasoning: Since every meter of the rope costs $5, the cost of a 6-meter long rope can be calculated by multiplying the length of the rope (6 meters) by the cost per meter ($5).

    6 meters x $5 per meter = $30

    ### Answer: $30

Expected answer: 30

Correct? Yes

🔗 Follow-up

Problem: Going further from the previous problem, John now realizes he needs twice as much rope! How much will it cost him to buy 12 meters of rope in all?

Gemma 2B:

    Reasoning: Since John needs 12 meters of rope, and each meter costs $5, the total cost can be calculated by multiplying the length of the rope (12 meters) by the cost per meter ($5).

    12 meters x $5 per meter = $60

    ### Answer: $60

Expected answer: 60

Correct? Yes

🔗 Follow-up

Problem: After considering his needs again, John realized that he actually needs 7 meters of rope, not 6. How much will it cost him to buy this new length of rope?

Gemma 2B:

    Reasoning: Since every meter of the rope costs $5, the cost of a 7-meter long rope can be calculated by multiplying the length of the rope (7 meters) by the cost per meter ($5).

    7 meters x $5 per meter = $35

    ### Answer: $35

Expected answer: 35

Correct? Yes

🔗 Problem

Problem: Amelia has 42 gifts to distribute equally among her 7 best friends. How many gifts will each friend receive?

Gemma 2B:

    Reasoning: To find out how many gifts each friend will receive, we need to divide the total number of gifts (42) by the number of friends (7).

    42 ÷ 7 = 6

    So, each friend will receive 6 gifts.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, Amelia was distributing gifts among 7 of her friends. But what if Amelia instead planned to distribute her 42 gifts equally among only 6 friends instead? How many gifts would each friend receive in this case?

Gemma 2B:

    Reasoning: To find out how many gifts each friend will receive, we need to divide the total number of gifts (42) by the number of friends (6).

    42 ÷ 6 = 7

    So, each friend will receive 7 gifts.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A mother bear has 40 honey pots and she wants to evenly distribute them among her 8 cubs. How many honey pots will each cub receive?

Gemma 2B:

    Reasoning: To find out how many honey pots each cub will receive, we need to divide the total number of honey pots (40) by the number of cubs (8).

    40 ÷ 8 = 5

    Each cub will receive 5 honey pots.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: If the mother bear had only 40 honey pots and wanted to evenly distribute them among her 10 cubs instead, how many honey pots would each cub receive now?

Gemma 2B:

    Reasoning: To find out how many honey pots each cub will receive, we need to divide the total number of honey pots (40) by the number of cubs (10).

    40 ÷ 10 = 4

    Each cub will receive 4 honey pots.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A penguin is diving into the sea. Initially, it took the penguin 28 seconds to reach a depth that is 4 times its own height. What is the square of the depth the penguin reaches in seconds?

Gemma 2B:

    Let's break this problem down step by step!

    Let the height of the penguin be h. Since it takes the penguin 28 seconds to reach a depth that is 4 times its own height, we can set up the equation:

    Time = Distance / Speed

    28 = (4h) / (h)

    Simplifying the equation, we get:

    28 = 4

    Now, we can find the height of the penguin:

    h = 28 / 4
    = 7

    So, the height of the penguin is 7.

    The depth the penguin reaches is 4 times its height, which is:

    Depth = 4h
    = 4(7)
    = 28

    Now, we need to find the square of the depth:

    Square of the depth = (28)^2
    = 28 × 28
    = 784

    ### Answer: 784

Expected answer: 49

Correct? No

🔗 Problem

Problem: A swing goes back and forth 10 times every minute. How many back and forth swings will the swing accomplish in 9 minutes?

Gemma 2B:

    Reasoning: The swing goes back and forth 10 times every minute. To find the total number of swings in 9 minutes, we multiply the number of swings per minute by the number of minutes:

    10 swings/minute × 9 minutes = 90 swings

    ### Answer: 90

Expected answer: 90

Correct? Yes

🔗 Problem

Problem: An elephant can eat 7kg food per hour. How much food will an elephant eat in 4 hours?

Gemma 2B:

    Reasoning: The elephant eats 7kg of food per hour. To find out how much food it will eat in 4 hours, we need to multiply the amount of food it eats per hour by the number of hours.

    7 kg/hour x 4 hours = 7 x 4 = 28 kg

    ### Answer: 28 kg

Expected answer: 28

Correct? Yes

🔗 Follow-up

Problem: In the previous situation, what if instead of eating 4kg of food per hour, the elephant ate only 3kg of food per hour? How much food would the elephant eat in 4 hours then?

Gemma 2B:

    Reasoning: The elephant eats 3kg of food per hour. To find out how much food it will eat in 4 hours, we need to multiply the amount of food it eats per hour by the number of hours.

    3 kg/hour x 4 hours = 3 x 4 = 12 kg

    ### Answer: 12 kg

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A dragon has 3 heads and each head has 8 eyes. How many eyes does the dragon have in total?

Gemma 2B:

    Reasoning: Since the dragon has 3 heads, and each head has 8 eyes, we can multiply the number of heads by the number of eyes per head to find the total number of eyes.

    3 heads x 8 eyes/head = 3 x 8 = 24

    ### Answer: 24

Expected answer: 24

Correct? Yes

🔗 Follow-up

Problem: In addition to the 3-headed dragon, another dragon of the same kind joins it. Between the two dragons, how many eyes are there in total?

Gemma 2B:

    Reasoning: We already know that one dragon has 24 eyes. Since another dragon of the same kind joins it, it also has 24 eyes. To find the total number of eyes, we add the number of eyes of both dragons:

    24 eyes (from the first dragon) + 24 eyes (from the second dragon) = 24 + 24 = 48

    ### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: Suppose that each dragon instead had 11 eyes per head, not 8. How many eyes would one three-headed dragon have then?

Gemma 2B:

    Reasoning: Since the dragon has 3 heads, and each head has 11 eyes, we can multiply the number of heads by the number of eyes per head to find the total number of eyes.

    3 heads x 11 eyes/head = 3 x 11 = 33

    ### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: A candle burns out at a rate of 2 hours per inch. If a candle is 3 inches tall, how long will it take for the candle to burn out completely?

Gemma 2B:

    Reasoning: Since the candle burns out at a rate of 2 hours per inch, it will take 2 hours to burn out 1 inch of the candle.
    Since the candle is 3 inches tall, it will take 2 x 3 = 6 hours to burn out the entire candle.
    ### Answer: 6 hours

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Charlie has 4 chocolates and decides to share half of them with his sister. Then he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now?

Gemma 2B:

    Reasoning: Charlie has 4 chocolates initially and decides to share half of them with his sister. Half of 4 is 4/2 = 2, so he gives 2 chocolates to his sister. He is left with 4 - 2 = 2 chocolates.
    Then, he decides to double the amount, which means he will multiply the remaining chocolates by 2. 2 x 2 = 4, so he now has 4 chocolates.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: Following from the last problem, Charlie then takes the amount of chocolates he has and decides to multiply it by 9 for a birthday party. How many chocolates does Charlie have now?

Gemma 2B:

    Reasoning: Charlie has 4 chocolates and decides to multiply it by 9 for a birthday party. 4 x 9 = 36, so he now has 36 chocolates.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: Following from the previous problems, let's consider a new scenario. This time, suppose Charlie only had 2 chocolates and again decided to share half of them with his sister. Then, he counts his remaining chocolates and decides to double the amount. How many chocolates does Charlie have now in this scenario?

Gemma 2B:

    Reasoning: Charlie has 2 chocolates initially and decides to share half of them with his sister. Half of 2 is 2/2 = 1, so he gives 1 chocolate to his sister. He is left with 2 - 1 = 1 chocolate.
    Then, he decides to double the amount, which means he will multiply the remaining chocolates by 2. 1 x 2 = 2, so he now has 2 chocolates.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A castle has 36 towers and there are an equal number of towers on each of its 6 walls. How many towers are there on each wall?

Gemma 2B:

    Reasoning: Let's divide the total number of towers (36) by the number of walls (6) to find the number of towers on each wall:

    36 ÷ 6 = 6

    So, there are 6 towers on each wall.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Follow-up

Problem: Suppose the number of walls in the castle was incorrectly counted before, and there are actually 10 walls instead of 6. If the castle still has a total of 36 towers, how many towers would be on each wall in that case?

Gemma 2B:

    Reasoning: Since the total number of towers remains the same (36), we can still divide it by the new number of walls (10) to find the number of towers on each wall:

    36 ÷ 10 = 3.6

    Since you can't have a fraction of a tower, we round down to the nearest whole number:

    3.6 → 3

    So, there would be 3 towers on each wall if the castle actually has 10 walls.

    ### Answer: 3

Expected answer: 18/5

Correct? No