🔗 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: For each 1 meter of sliding, Isaac gains 3 times the speed. Since he slides down 1 meter, he gains 1 x 3 = 3 times the speed.
    ### Answer: 3

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: For each 1 meter of sliding, Isaac gains 5 times the speed. Since he slides down 1 meter, he gains 1 x 5 = 5 times the speed.
    ### Answer: 5

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: If there are 9 brown bears, and for every 9 brown bears there are 11 times as many black bears, then we can multiply 9 by 11 to find the number of black bears.
    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: Since each fish has 2 sides, we can multiply the number of fish by 2 to find the total number of fish sides.
    7 fish x 2 sides/fish = 14 sides
    ### 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 the product of the mass of the rocket and 12.
    So, the fuel needed is 8 × 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 fuel needed for the third rocket is the product of the mass of the rocket and 5.
    So, the fuel needed is 8 × 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 flower seeds evenly among 10 plots, so each plot received 80 ÷ 10 = 8 seeds.
    If she later planted an extra plot with the same amount of seeds as in each of the previous plots, she used 8 seeds for the extra plot.
    ### 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 plot, and she wants to give 7 gift bags each containing 8 seeds.
    To find the total number of seeds needed for the gift bags, multiply the number of seeds per bag by the number of bags: 8 seeds/bag × 7 bags = 56 seeds.
    ### 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 divided the 80 seeds evenly between only 2 plots, so each plot received 80 ÷ 2 = 40 seeds.
    If she later planted an extra plot with the same amount of seeds as in each of the new plots, she used 40 seeds for the extra plot.
    ### 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. Therefore, to make 1 section of the dress, 1 yard of fabric is needed.

    ### 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. Therefore, to make 1 section of the dress, 6 yards of fabric are needed.

    ### 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: Captain Blackbeard initially buries 11 treasure chests in the cave. The magical spell triples the amount of treasure chests, so we multiply 11 by 3 to get 11 × 3 = 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: Captain Blackbeard initially buries 11 treasure chests in the cave. If the magical spell doubles the amount of treasure chests, we multiply 11 by 2 to get 11 × 2 = 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:

    Let's assume the baby giraffe is initially 0 feet tall (at birth). Since it grows 4 feet every year, after 11 years, it would have grown a total of:

    4 feet/year × 11 years = 44 feet

    So, the giraffe would be 44 feet tall after 11 years.

    ### Answer: 44 feet

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:

    Let's assume the baby giraffe is initially 0 feet tall (at birth). Since it grows 4 feet every year, after 7 years, it would have grown a total of:

    4 feet/year × 7 years = 28 feet

    So, the giraffe would be 28 feet tall after 7 years.

    ### Answer: 28 feet

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 can multiply the number of pieces by the length of each piece: 4 x 8 = 32.
    ### 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 has 4 pieces of rope, and each piece is 8 feet long. To find the total length of rope, we can multiply the number of pieces by the length of each piece: 4 x 8 = 32.
    ### 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 can multiply the number of pieces by the length of each piece: 12 x 8 = 96.
    ### 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, there will be 9 starfish 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: To find the number of starfish in each tank, we need to divide the total number of starfish (12) by the number of tanks (9).

    12 ÷ 9 = 1 with a remainder of 3

    Since we can't have a fraction of a starfish, we can say that 1 starfish will be placed in each tank, and 3 starfish will be left over.

    ### Answer: 1

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: Lisa found 1 toy on the first day. Since she finds twice as many toys every next day, she will find 1 x 2 = 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 exact square of 2 is 2^2 = 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: Lisa found 1 toy on the first day. Since she finds ten times as many toys every next day, she will find 1 x 10 = 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. To find the time it takes to match the system's speed, we can divide 11 microseconds by 11.

    11 microseconds ÷ 11 = 1 microsecond

    ### Answer: 1 microsecond

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, we need to multiply this speed by itself.

    Efficiency rate = 1 microsecond × 1 microsecond
    = 1 microsecond²

    ### Answer: 1 microsecond²

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. To find the time it takes to match the system's speed, we can divide 12 microseconds by 11.

    12 microseconds ÷ 11 = 1.09 microseconds (approximately)

    ### Answer: 1.09 microseconds

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: Since each tomato seed will produce 3 tomatoes, Nina will get 3 tomatoes from each of the 6 seeds she plants. To find the total number of tomatoes, we can multiply the number of seeds by the number of tomatoes each seed produces: 6 seeds x 3 tomatoes/seed = 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 produce 18 tomatoes in total. Each tomato will produce 3 new seeds, so the total number of new seeds will be: 18 tomatoes x 3 seeds/tomato = 18 x 3 = 54 seeds. Since each seed can grow into a new tomato plant, Nina can potentially grow 54 new tomato plants.
    ### 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. If they learn a new word, they can transmit it 11 times in 1 minute.
    ### 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 learned two words, they can transmit the first word 11 times and the second word 11 times. The total number of transmissions is 11 + 11 = 22.
    ### 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. If they learn a new word, they can transmit it 3 times in 1 minute.
    ### 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: To find the distance traveled by the unicorn in one hour, we need to divide the total distance traveled (35 miles) by the time taken (7 hours).

    Distance per hour = Total distance ÷ Time taken
    = 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 travels 5 miles per hour, we can multiply its speed by the time (3 hours) to find the distance it would travel:

    Distance = Speed × Time
    = 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: To find the distance traveled by the unicorn in one hour, we need to divide the total distance traveled (35 miles) by the time taken (2 hours).

    Distance per hour = Total distance ÷ Time taken
    = 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:

    Let's break this down step by step!

    Let Green Gauntlet's original strength be x.

    Since Green Gauntlet can multiply his strength by a factor of 3, his new strength is 3x.

    Jetstream has 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:

    We already know that Jetstream's strength is 15x.

    Since Spectra has 5 times the strength of Jetstream, 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: The problem states that each necklace requires 6 beads. Therefore, to make 1 necklace, Jason will need 6 beads.

    ### 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: If the original design requires 6 beads, and the new design requires 8 times as many beads, then Jason would need 6 x 8 = 48 beads to create the new necklace.

    ### 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: To unlock the puzzle box, we need to multiply 2 by 3, which gives us:

    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 already know the previous code is 6, which was obtained by multiplying 2 by 3. Now, we need to multiply 6 by 12 to get the final secret code:

    6 × 12 = 72

    So, the final secret code to complete the puzzle 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: To solve this new puzzle, we need to multiply 2 by 7, which gives us:

    2 × 7 = 14

    So, the number we get by following this new instruction is 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, each with 9 dollars. To find the total amount of money, we can 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: Since Peter put all the money from the one wallet into the piggy bank, the amount of money in the piggy bank will be the same as the amount of money in the one wallet, which is 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, each with 12 dollars. To find the total amount of money, we can 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: If the butterfly flaps its wings 9 times in 1 second, it will flap its wings 9 x 11 = 99 times in 11 seconds.
    ### 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: If the butterfly flaps its wings 9 times in 1 second, it will flap its wings 9 x 4 = 36 times in 4 seconds.
    ### 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 it would cover in 6 minutes, we can multiply the speed by the time:
    Distance = Speed x Time
    = 12 miles/minute x 6 minutes
    = 12 x 6
    = 72 miles

    ### Answer: 72 miles

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 it would cover in 6 minutes, we can multiply the speed by the time:
    Distance = Speed x Time
    = 11 miles/minute x 6 minutes
    = 11 x 6
    = 66 miles

    ### Answer: 66 miles

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).

    We can do this by dividing 27 by 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).

    We can do this by dividing 9 by 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: The factory produces 7 bars of soap every hour. To find the total number of bars produced in 11 hours, we can multiply the number of bars produced per hour by the number of hours the factory is operational.

    7 bars/hour × 11 hours = 7 × 11 = 77 bars

    ### 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 contains 3 kites. To find the total number of kites, we can 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 had 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 actually has 11 sets of kites, and each set contains 9 kites. To find the total number of kites, we can multiply the 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: If the magical creature multiplies a number by itself, it means the creature is squaring the number.
    To square a number, we raise it to the power of 2.
    So, if the magical creature uses the number 4, the outcome will be 4^2 = 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 outcome from the previous spell was 16.
    The magical creature multiplied 16 by 5, so the new number 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: If the magical creature had initially started with the number 11 and multiplied it by 4, the outcome would be the product of 11 and 4.
    So, the outcome of the first spell would be 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 the number of 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 the number of chairs each room will have, we need to divide the total number of chairs (27) by the number of rooms (12).

    27 ÷ 12 = 2 with a remainder of 3

    Since we can't have a fraction of a chair, each room will have 2 chairs, and there will be 3 chairs left over.

    ### 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 need to 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 would have:

    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: Since a full pizza has 3 slices, the restaurant wants to make 3 x 3 = 9 slices of pizza.
    Each slice takes 6 minutes to cook, so the total time it will take is 9 x 6 = 54 minutes.
    ### Answer: 54 minutes.

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 make 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 make the special pizza.
    ### Answer: 54 minutes.

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: Since a full pizza has 3 slices, the restaurant wants to make 3 x 3 = 9 slices of pizza.
    Each slice takes 1 minute to cook, so the total time it will take is 9 x 1 = 9 minutes.
    ### Answer: 9 minutes.

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 7 hours each day, so in 4 days, he drives a total of 7 x 4 = 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 2 hours each day, so in 4 days, he drives a total of 2 x 4 = 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 section of the blanket requires 6 yards of yarn. Since each finished blanket is made up of 5 sections, we need to multiply the number of yards required per section by the number of sections: 6 yards/section × 5 sections = 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 need to multiply the number of yards required for one blanket by 2: 30 yards/blanket × 2 blankets = 60 yards.

    ### 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 section of the blanket requires 6 yards of yarn. Since each finished blanket is now made up of 12 sections, we need to multiply the number of yards required per section by the number of sections: 6 yards/section × 12 sections = 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: To find the distance traveled, we can multiply the speed of the bus by the time it travels. In this case, the bus travels at a speed of 7 miles per hour, and it travels for 6 hours. So, we can multiply 7 miles/hour by 6 hours to get the total distance traveled.

    Distance = Speed x Time
    = 7 miles/hour x 6 hours
    = 42 miles

    ### Answer: 42 miles

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: To find the distance traveled, we can multiply the speed of the bus by the time it travels. In this case, the bus travels at a speed of 10 miles per hour, and it travels for 6 hours. So, we can multiply 10 miles/hour by 6 hours to get the total distance traveled.

    Distance = Speed x Time
    = 10 miles/hour x 6 hours
    = 60 miles

    ### Answer: 60 miles

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.
    3 × 5 = 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: Starlight's initial power level is the product of multiplying 3 by 5, which is 3 × 5 = 15.
    After the power-up training, her power level increases by three times, so we multiply her initial power level by 3:
    15 × 3 = 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: To find Starlight's initial power level in this scenario, we need to multiply 3 by 6.
    3 × 6 = 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.
    So, the area of one side of Jessica's backpack is 10 inches x 10 inches = 100 square inches.
    ### Answer: 100 square inches.

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.
    So, the area of one side of Jessica's backpack is 4 inches x 4 inches = 16 square inches.
    ### Answer: 16 square inches.

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 divide the total number of doubloons (36) by the number of crew members (3).

    36 ÷ 3 = 12

    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 divide the total number of doubloons (36) by the number of crew members (7).

    36 ÷ 7 = 5.14 (but we can't divide doubloons into fractions, so we'll round down to the nearest whole number)

    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 currently produces 5 robots per hour. If it increases its output to twice this amount, it will produce 2 x 5 = 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 is currently producing 10 robots per hour. If it multiplies this new hourly output by the original amount (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 currently produces 5 robots per hour. If it increases its output to six times the original amount, it will produce 6 x 5 = 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 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, the total number of times Jamie swung is 11 x 1 = 11.
    ### 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 swings 11 times in every minute.
    He continued swinging for 3 more minutes, so he swung 11 x 3 = 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 swung for 1 minute.
    So, the total number of times Jamie swung in that minute is 6 x 1 = 6.
    ### 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 already has 9 robot toys. He buys the same amount again, which means he buys 9 more robot toys. To find the total number of robot toys James has now, we add the number of robot toys he already had to the number of robot toys he bought: 9 + 9 = 18.
    ### 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 initially had 9 robot toys. He then bought 5 more sets of 9 toys each, which means he bought 5 x 9 = 45 more robot toys. To find the total number of robot toys James has now, we add the number of robot toys he already had to the number of robot toys he bought: 9 + 45 = 54.
    ### 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: Since each chicken lays 7 eggs in a week, and there are 11 chickens, we can multiply the number of chickens by the number of eggs each chicken lays to find the total number of eggs.

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

    ### 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: We already know that the chickens lay 77 eggs in a week. If the farmer sells each egg for $1, we can multiply the number of eggs by the price per egg to find the total amount of money the farmer makes.

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

    ### 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: Since each chicken lays 7 eggs in a week, and there are 2 chickens, we can multiply the number of chickens by the number of eggs each chicken lays to find the total number of eggs.

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

    ### 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. If it grows half of this amount each night, it grows 4/2 = 2 centimeters overnight.
    ### 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 overnight, which is 4/2 = 2 cm. If this overnight growth is multiplied by 10, the final growth of the tree over these 10 nights is 2 x 10 = 20 cm.
    ### Answer: 20

Expected answer: 20

Correct? Yes

🔗 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 grows 10 centimeters each day. If it grows half of this amount each night, it grows 10/2 = 5 centimeters overnight.
    ### 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: The scientist realized that she had counted the mice twice, so to find the actual number of mice, she divided the original number (77) by 2.

    77 ÷ 2 = 38.5

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

    ### Answer: 38

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: To make one earring, Sally needs 35 ÷ 5 = 7 beads.
    To make 8 earrings, Sally needs 7 × 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 to find the number of beads needed for 1 earring, she divides 35 by 5: 35 ÷ 5 = 7 beads per earring.
    To make 2 earrings, Sally needs 7 × 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: Since Brenda wants to divide the apples equally among her 9 friends, we can divide the total number of apples (9) by the number of friends (9).

    9 ÷ 9 = 1

    Each friend will receive 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: Since Brenda wants to divide the apples equally among her 2 closest friends, we can divide the total number of apples (9) by the number of friends (2).

    9 ÷ 2 = 4.5

    Since we can't divide an apple into fractions, each friend will receive 4 apples and there will be 1 apple left over.
    ### 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 10 feet off the ground, and it is 5 times the height above the ground. So, the length of the tightrope is 10 x 5 = 50 feet.
    ### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: After completing his daring stunt, the tightrope walker decides to challenge himself further and wants to perform the same stunt on a tightrope that's only 1 foot off the ground. Now, how far would he need to walk considering the tightrope is still five times the height above the ground?

Gemma 2B:

    Reasoning: The tightrope is 1 foot off the ground, and it is 5 times the height above the ground. So, the length of the tightrope is 1 x 5 = 5 feet.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 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 30 ÷ 6 = 5.
    The area of the square is side × side = 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 30 ÷ 6 = 5.
    The area of the square is side × side = 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 12 ÷ 6 = 2.
    The area of the square is side × side = 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 this continues for 8 seconds. To find the total number of particles emitted, we can multiply the number of particles emitted per second by the number of seconds: 7 particles/second × 8 seconds = 7 × 8 = 56 particles.

    ### 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 now it only emits particles for 5 seconds. To find the total number of particles emitted, we can multiply the number of particles emitted per second by the number of seconds: 7 particles/second × 5 seconds = 7 × 5 = 35 particles.

    ### 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, it will produce 8 x 5 = 40 shoes.
    ### 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 24/3 = 8 shoes per hour.
    If the factory runs for 10 hours, it will produce 8 x 10 = 80 shoes.
    ### 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: Since the butterfly lives for 5 days in each month, and there are 12 months in a year, we can multiply the number of days it lives in a month by the number of months to find the total number of days it lives in a year.

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

    ### 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: Since the butterfly lives for 5 days in each week, and there are 7 weeks, we can multiply the number of days it lives in a week by the number of weeks to find the total number of days it lives in the 7-week span.

    5 days/week × 7 weeks = 5 × 7 = 35 days

    ### 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 for a day.
    A magic mushroom can provide food as 4 ordinary mushrooms, so it can feed 4 x 10 = 40 fairies for a day.
    ### 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 for a day.
    A magic mushroom can provide food as 4 ordinary mushrooms, so it can feed 4 x 11 = 44 fairies for a day.
    ### 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: To find the distance the river can flow in 10 hours, we can multiply the rate at which it is flowing (4 kilometers per hour) by the time (10 hours).

    Distance = Rate × Time
    = 4 km/h × 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: To find the distance the river can flow in 2 hours, we can multiply the rate at which it is flowing (4 kilometers per hour) by the time (2 hours).

    Distance = Rate × Time
    = 4 km/h × 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 multiply Ava's height by 2 to find the height of the slide.
    Height of slide = 2 × Ava's height
    = 2 × 12
    = 24
    ### 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, which is double Ava's height. To triple the height of the original slide, we multiply it by 3.
    New height of slide = 3 × Original height of slide
    = 3 × 24
    = 72
    ### 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 the height of Ava, we can multiply Ava's new height by 2 to find the height of the slide.
    Height of slide = 2 × Ava's height
    = 2 × 11
    = 22
    ### 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 out how much water will be in the tank after 9 minutes, we can multiply the rate by the time: 2 liters/minute × 9 minutes = 2 × 9 = 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 out how much water will be in the tank after 7 minutes, we can multiply the rate by the time: 2 liters/minute × 7 minutes = 2 × 7 = 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 total. He wants to read them evenly over 3 days. To find out how many letters he reads per day, we can divide the total number of letters by the number of days: 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 total. He wants to read them evenly over 3 days. To find out how many letters he reads per day, we can divide the total number of letters by the number of days: 11 ÷ 3 = 3 with a remainder of 2. Since we can't read a fraction of a letter, we can say he reads 3 letters per day, with 2 letters left over.

    ### Answer: 3

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, the total number of cars produced in one day is 8 x 12 = 96.
    ### 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 now produces 5 cars every hour. Since it runs for 12 hours a day, the total number of cars produced in one day is 5 x 12 = 60.
    ### 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 44 toys are divided evenly among 4 cousins, each cousin would get 44 ÷ 4 = 11 toys. So, 'i' is equal to 11.
    If we multiply 'i' by 5, we get 11 × 5 = 55 toys.
    ### 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 44 toys are divided evenly among 11 friends, each friend would get 44 ÷ 11 = 4 toys. So, 'i' is equal to 4.
    If we multiply 'i' by 5, we get 4 × 5 = 20 toys.
    ### 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 find out how much money each child will receive, we need to divide the total amount of money Mike has ($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 receives $3 per month from their father. To find out how much each child would have saved by the end of the year, we need to multiply the monthly savings by 12 (the number of months in a year).

    $3/month × 12 months = $36

    So each child would 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: To find out how much money each child will receive, we need to divide the total amount of money Mike has ($11) by the number of children (3).

    $11 ÷ 3 = $3.67

    So each child will 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 can divide the total amount of milk produced in 12 days by 12.

    72 liters ÷ 12 days = 6 liters per day

    Now, to calculate how much milk the cow will produce in 12 days, we can multiply the amount of milk produced per day by 12:

    6 liters per 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 can divide the total amount of milk produced in 10 days by 10.

    72 liters ÷ 10 days = 7.2 liters per day

    Now, to calculate how much milk the cow will produce in 12 days, we can multiply the amount of milk produced per day by 12:

    7.2 liters per day × 12 days = 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: We can set up a proportion to relate the miles to the inches. Let's say 1 inch represents x miles. Then, we can write:

    30 miles = 10 inches
    x miles = 1 inch

    We can set up the proportion as:

    30/x = 10/1

    To solve for x, we can cross-multiply:

    30 = 10x

    Divide both sides by 10:

    x = 30/10
    x = 3

    So, 1 inch represents 3 miles.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: If the scale of the map is adjusted so that instead of 30 miles being represented by 10 inches, it is now represented by 12 inches, how many miles would 1 inch represent on the new map?

Gemma 2B:

    Reasoning: We can set up a proportion to relate the miles to the inches. Let's say 1 inch represents x miles. Then, we can write:

    30 miles = 12 inches
    x miles = 1 inch

    We can set up the proportion as:

    30/x = 12/1

    To solve for x, we can cross-multiply:

    30 = 12x

    Divide both sides by 12:

    x = 30/12
    x = 2.5

    So, 1 inch represents 2.5 miles on the new map.

    ### Answer: 2.5

Expected answer: 5/2

Correct? Yes

🔗 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, we can multiply the number of tires by the load each tire can carry to find the total load the truck can carry.

    Total load = Number of tires × Load per tire
    = 8 × 8
    = 64

    ### Answer: 64 tons

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 is carrying cargo weighing the same as the total load the tires can handle, and we already found that the total load the tires can handle is 64 tons, the total weight being carried by the truck is the weight of the cargo plus the weight of the truck itself.

    Let's assume the weight of the truck itself is not given, so we'll call it "x" tons. Then, the total weight being carried by the truck is the weight of the cargo (which is 64 tons) plus the weight of the truck itself:

    Total weight = Weight of cargo + Weight of truck
    = 64 + x

    However, since we don't know the weight of the truck itself, we can't give a specific numerical answer. But we can express the total weight in terms of "x".

    ### Answer: 64 + x tons

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, we can multiply the number of tires by the load each tire can carry to find the total load the truck can carry.

    Total load = Number of tires × Load per tire
    = 8 × 3
    = 24

    ### Answer: 24 tons

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 we have 4 fruits, we 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 cups

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 we have 1 fruit, we 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 cup

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 she has 5 of each type. To find the total number of colored pencils, we can multiply the number of colors by the number of pencils of each color: 5 colors x 5 pencils/color = 5 x 5 = 25.
    ### 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, and she bought an exact duplicate of her set, which means she bought 25 more. To find the total number of colored pencils Sara has now, we can add the original number to the new number: 25 (original) + 25 (new) = 50.
    ### 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 she has 11 of each type. To find the total number of colored pencils, we can multiply the number of colors by the number of pencils of each color: 5 colors x 11 pencils/color = 5 x 11 = 55.
    ### 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 there are 12 letters in the word, the total number of points is simply 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 get 12 points for each round, and you play 8 rounds, the total number of points is the product of the points per round and the number of rounds: 12 points/round × 8 rounds = 12 × 8 = 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 there are 9 letters in the word, the total number of points is simply 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: Since Jake has 7 crates, and each crate contains 7 bottles of water, we can multiply the number of crates by the number of bottles in each crate to find the total number of bottles.

    7 crates x 7 bottles/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: Since Jake didn't drink any of the water and left the bottles untouched, the number of bottles remains the same.

    Jake still has 49 bottles of water.

    ### 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 can multiply the number of pianos by the number of legs per piano: 2 pianos x 4 legs/piano = 2 x 4 = 8 legs.
    ### 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 can multiply the number of pianos by the number of legs per piano: 2 pianos x 3 legs/piano = 2 x 3 = 6 legs.
    ### 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 it must be split between 2 people, we need to divide the total number of keys by 2.

    2 keys ÷ 2 people = 1 key per person

    ### 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 and there are 11 keyrings, the total number of keys is:

    11 keyrings × 2 keys/keyring = 22 keys

    Since the keyrings must be split between 2 people, we need to divide the total number of keys by 2:

    22 keys ÷ 2 people = 11 keys per person

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 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 it must be split between 2 people, we need to divide the total number of keys by 2.

    3 keys ÷ 2 people = 1.5 keys per person

    ### Answer: 1.5

Expected answer: 3/2

Correct? Yes

🔗 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 can multiply the number of crates by the number of bottles in each 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 can multiply the number of crates by the new number of bottles in each 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, the shirt costs the same amount in euros as it does in dollars.
    ### Answer: 10 euros.

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: The exchange rate change does not affect the price of the shirt in dollars, since it is still priced in dollars. The shirt still costs 10 dollars.
    ### Answer: 10 dollars.

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 1 dollar equals 1 euro, the shirt costs the same amount in euros as it does in dollars.
    ### Answer: 9 euros.

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, so in 5 months, it will grow 12 x 5 = 60 flowers.
    ### 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: If the beach ball is being blown up to be twice its original size, that means its diameter will also double. To find the new diameter, we can multiply the original diameter by 2.

    Original diameter = 3 feet
    New diameter = 3 x 2 = 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: If the beach ball is being blown up to be twice its original size, that means its diameter will also double. To find the new diameter, we can multiply the original diameter by 2.

    Original diameter = 5 feet
    New diameter = 5 x 2 = 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 had 4 boxes with 6 tomatoes in each box, we can multiply the number of boxes by the number of tomatoes in each box to find the total number of tomatoes:

    4 boxes × 6 tomatoes/box = 24 tomatoes

    So, there will 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.

    ### 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.
    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, so X = B * 6 = 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 still travels a certain distance "B" which is half of 16, so B = 16/2 = 8.
    This time, he multiplies the distance "B" he traveled with 8 to find out the new total distance "X" he traveled back and forth, so X = B * 8 = 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: Since each episode is 8 minutes long, watching 2 episodes back-to-back would take 2 x 8 = 16 minutes.
    ### Answer: 16 minutes.

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: Each day, Lisa watches 2 episodes back-to-back, which takes 2 x 8 = 16 minutes. Since she does this for 5 days, the total time spent watching her TV show is 16 minutes/day x 5 days = 16 x 5 = 80 minutes.
    ### Answer: 80 minutes.

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: Since each episode of the new TV show is 12 minutes long, watching 2 episodes back-to-back would take 2 x 12 = 24 minutes.
    ### Answer: 24 minutes.

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: Jane has 1 blanket. John has 3 times as many blankets as Jane, so John has 1 x 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: Jane has 6 blankets. John has 3 times as many blankets as Jane, so John has 6 x 3 = 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

    Each child will receive $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: To find out how many dollars each child will receive, we need to divide the total amount of money John has ($10) by the number of children (7).

    $10 ÷ 7 = $1.43 (but since we can't divide dollars into fractions, we can say each child will receive $1 and there will be $3 left over)

    Each child will receive $1.

    ### Answer: $1

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 to make one shirt. For the lining, he uses double the fabric, which is 2 x 2 = 4 meters. To make 5 shirts with lining, he will need 5 x 4 = 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 per day, so to find the total number of scooters she will sell after 8 days, we can multiply the number of scooters she sells per day by the number of days: 1 scooter/day × 8 days = 8 scooters.
    ### 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: During the first 8 days, Kate sold 8 scooters. Since she sells the same number of scooters every day during the grand sale, she will sell 8 scooters per day for 8 more 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 by the number of days: 8 scooters/day × 8 days = 64 scooters.
    ### 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 per day, so to find the total number of scooters she will sell after 8 days, we can multiply the number of scooters she sells per day by the number of days: 7 scooters/day × 8 days = 56 scooters.
    ### 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 problem states that the tree produces 10 seeds each year. Therefore, the answer is simply 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 problem states that the tree produces 12 seeds each year. Therefore, the answer is simply 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: To divide 12 hours into 6 equal parts, we need to 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: We already know that there are 4 groups of friends. If each group buys 7 pizzas, we can multiply the number of groups by the number of pizzas each group buys to find the total number of pizzas.

    4 groups × 7 pizzas/group = 4 × 7 = 28 pizzas

    ### 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 a total of 6 x 4 = 24 buckets of sand.
    Each bucket of sand has 3 shovels full of sand in it, so they use a total of 24 x 3 = 72 shovels of sand.
    ### 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: We already know that they used 72 shovels of sand in total.
    Since each shovel full of sand requires 1 bottle of seawater, they will need 72 x 1 = 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: They build 5 sandcastles, and each sandcastle uses 4 buckets of sand, so they use a total of 5 x 4 = 20 buckets of sand.
    Each bucket of sand has 3 shovels full of sand in it, so they use a total of 20 x 3 = 60 shovels of sand.
    ### 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: Jenna needs 12 beads for each bracelet. Since she has to make 8 bracelets, she will need 12 x 8 beads in total.
    12 x 8 = 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: Jenna needs 12 beads for each bracelet. Since she has to make 7 bracelets, she will need 12 x 7 beads in total.
    12 x 7 = 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: To find out how many times Penny can brush her teeth, we need to divide the total amount of toothpaste (66 milliliters) by the amount she uses each time (11 milliliters).

    We can do this by dividing 66 by 11:

    66 ÷ 11 = 6

    So, Penny can brush her teeth 6 times with the new tube of toothpaste.

    ### 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: To find out how many times Penny can brush her teeth, we need to divide the total amount of toothpaste (66 milliliters) by the new amount she uses each time (9 milliliters).

    We can do this by dividing 66 by 9:

    66 ÷ 9 = 7.33 (but since we can't brush our teeth a fraction of a time, we'll round down to 7)

    So, Penny can brush her teeth 7 times with the new tube of toothpaste.

    ### 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 can 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 can 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 needs 6 yards of fabric to make 1 skirt.
    She has 6 yards of fabric.
    To find out how many skirts she can make, we can divide the total amount of fabric she has by the amount of fabric needed for each skirt:
    6 yards (total fabric) ÷ 6 yards (fabric per skirt) = 1 skirt.
    ### 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.
    She wants to make as many skirts as she already made, so she will make 1 more skirt.
    In total, Mary will have made 1 (initial skirt) + 1 (additional skirt) = 2 skirts.
    ### Answer: 2

Expected answer: 1

Correct? No

🔗 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 needs 6 yards of fabric to make 1 skirt.
    She has 7 yards of fabric.
    To find out how many skirts she can make, we can divide the total amount of fabric she has by the amount of fabric needed for each skirt:
    7 yards (total fabric) ÷ 6 yards (fabric per skirt) = 1.17 (but we can't make a fraction of a skirt, so we round down to the nearest whole number).
    ### 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 initially has 9 cards.
    To double the number of cards, we multiply 9 by 2: 9 × 2 = 18.
    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous question, if Jordan decides to again double the total number of cards he has, how many cards will Jordan end up with at that point?

Gemma 2B:

    Reasoning: Jordan currently has 18 cards.
    To double the number of cards again, we multiply 18 by 2: 18 × 2 = 36.
    ### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: Following up from the previous question, if originally Jordan had 5 card packs instead of 9, and he still decided to double the total number of his cards, how many cards would Jordan have then?

Gemma 2B:

    Reasoning: Jordan initially has 5 card packs, and each pack contains 1 card, so he has 5 cards.
    To double the number of cards, we multiply 5 by 2: 5 × 2 = 10.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 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 6 equal periods of time before it needs a 1-minute break to recharge. This means the total time the staff can channel the spell is 60 - 1 = 59 minutes. Since there are 6 equal periods, we can divide 59 by 6 to find the length of each period: 59 ÷ 6 = 9.83 minutes. Since we can't have a fraction of a minute, we can round down to 9 minutes, as the staff can't channel the spell for a fraction of a minute.

    ### Answer: 9 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 out how many times he hits the drum in 8 minutes, we can multiply the number of times he hits the drum per minute by the number of minutes: 11 times/minute × 8 minutes = 11 × 8 = 88 times.

    ### 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 now hits the drum 2 times per minute. To find out how many times he hits the drum in 8 minutes, we can multiply the number of times he hits the drum per minute by the number of minutes: 2 times/minute × 8 minutes = 2 × 8 = 16 times.

    ### 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: Since John needs 2 pairs of socks for each pair of pants, we can set up a proportion to relate the number of pairs of pants to the number of pairs of socks. Let's say John packs x pairs of pants. Then, he will need 2x pairs of socks. We know that he plans to bring 22 pairs of socks, so we can set up the equation:

    2x = 22

    To solve for x, we can divide both sides of the equation by 2:

    x = 22/2
    x = 11

    So, John should pack 11 pairs of pants.
    ### 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 needs 2 socks for each pair of pants, we can set up a proportion to relate the number of pairs of pants to the number of socks. Let's say John packs x pairs of pants. Then, he will need 2x socks. We know that he has 4 pairs of socks, which is equivalent to 4 x 2 = 8 socks. So, we can set up the equation:

    2x = 8

    To solve for x, we can divide both sides of the equation by 2:

    x = 8/2
    x = 4

    So, John should pack 4 pairs of pants.
    ### Answer: 4

Expected answer: 2

Correct? No

🔗 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: Since John has 5 packs of pens, and each pack contains 8 pens, we can multiply the number of packs by the number of pens per pack to find the total number of pens.

    5 packs x 8 pens/pack = 5 x 8 = 40 pens

    ### 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: Since John has 5 packs of pens, and each pack contains 6 pens, we can multiply the number of packs by the number of pens per pack to find the total number of pens.

    5 packs x 6 pens/pack = 5 x 6 = 30 pens

    ### 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: Since Captain Blackbeard divided the total hours equally among the 6 shifts, we can find the number of hours each shift is responsible for by dividing the total hours by the number of shifts.

    60 hours ÷ 6 shifts = 10 hours per shift

    So, one guard will have to protect the ship for 10 hours.

    ### 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: Since Captain Blackbeard decided to split the total time into 12 shifts, we can find the number of hours each shift is responsible for by dividing the total hours by the new number of shifts.

    60 hours ÷ 12 shifts = 5 hours per shift

    So, one guard will now have to protect the ship for 5 hours.

    ### 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, and John needs a 6-meter long rope, we can multiply the cost per meter by the number of meters needed to find the total cost.

    Cost = $5/meter × 6 meters = $5 × 6 = $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 every meter of the rope costs $5, and John now needs 12 meters of rope, we can multiply the cost per meter by the new number of meters needed to find the total cost.

    Cost = $5/meter × 12 meters = $5 × 12 = $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, and John needs a 7-meter long rope, we can multiply the cost per meter by the number of meters needed to find the total cost.

    Cost = $5/meter × 7 meters = $5 × 7 = $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

    So 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

    So 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 down step by step!

    Let the height of the penguin be x.

    The penguin reaches a depth that is 4 times its own height, so the depth is 4x.

    The time it takes to reach this depth is 28 seconds.

    We can set up a proportion to relate the depth and time:

    depth / time = 4x / 28

    Now, we want to find the square of the depth. To do this, we can square both sides of the equation:

    (4x)^2 = (28)^2

    Simplifying, we get:

    16x^2 = 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 out how many back and forth swings it will accomplish in 9 minutes, we can multiply the number of swings per minute by the number of minutes: 10 swings/minute × 9 minutes = 10 × 9 = 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 can multiply the amount of food it eats per hour by 4.

    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 can multiply the amount of food it eats per hour by 4.

    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 × 8 eyes/head = 3 × 8 = 24 eyes

    ### 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: Since each dragon has 3 heads, and each head has 8 eyes, each dragon has a total of 3 × 8 = 24 eyes.

    Since there are two dragons, the total number of eyes is 24 + 24 = 48 eyes.

    ### 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 × 11 eyes/head = 3 × 11 = 33 eyes

    ### 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, and the candle is 3 inches tall, we can multiply the rate by the height of the candle to find the total burning time.

    Burning time = Rate x Height
    = 2 hours/inch x 3 inches
    = 6 hours

    ### 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 and decides to share half of them with his sister, so he gives 4/2 = 2 chocolates to his sister. This means he has 4 - 2 = 2 chocolates left.
    Then, he decides to double the amount he has, so he gets 2 x 2 = 4 more chocolates.
    Now, Charlie has 2 + 4 = 6 chocolates.
    ### Answer: 6

Expected answer: 4

Correct? No

🔗 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: Since there are an equal number of towers on each of the 6 walls, we can 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 there are an equal number of towers on each of the 10 walls, we can divide the total number of towers (36) by the number of walls (10) to find the number of towers on each wall.

    36 ÷ 10 = 3.6

    Since we can't have a fraction of a tower, we can round down to the nearest whole number, as it's not possible to have a part of a tower.

    So, there would be 3 towers on each wall.

    ### Answer: 3

Expected answer: 18/5

Correct? No