🔗 Problem

Problem: A king has decided to build a number of castles in his kingdom. If each castle requires 5 builders and there are 15 builders in total, how many castles are being built?

Gemma 2B:

      Reasoning: Each castle requires 5 builders, so the number of castles being built is equal to the total number of builders divided by the number of builders required for each castle.

    Total number of builders = 15
    Number of builders required for each castle = 5

    Number of castles being built = Total number of builders / Number of builders required for each castle
    = 15 / 5
    = 3

    Therefore, the king is building 3 castles.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a mega-sized tube of toothpaste, there are 77 grams of toothpaste. If each usage consumes 11 grams of toothpaste, how many usages can you get from this tube?

Gemma 2B:

      Reasoning: To find out how many usages can be made from the tube, we need to divide the total amount of toothpaste in the tube by the amount used in each usage.

    Total amount of toothpaste in the tube = 77 grams
    Amount used in each usage = 11 grams

    Number of usages = Total amount of toothpaste in the tube / Amount used in each usage
    Number of usages = 77 grams / 11 grams
    Number of usages = 7

    Therefore, the mega-sized tube of toothpaste can be used for 7 usages.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A watch manufacturer can produce 8 watches every hour. After working for some hours, they have manufactured a total of 48 watches. How many hours did they work?

Gemma 2B:

      Reasoning: The manufacturer can produce 8 watches per hour, so they can produce 48 watches in 6 hours (48/8 = 6).
    ### Answer: 6 hours

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A cat mother had 3 kittens. If every kitten has the same number of toy mice, and there are only 3 toy mice available, how many toy mice does each kitten have?

Gemma 2B:

      Reasoning: Each kitten has 3/3 = <<3/3=1>>1 toy mouse.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A hungry tiger catches 12 fishes from a river during day time. However, it eats 2 fishes per hour. How many hours will it take for the tiger to finish all the fishes?

Gemma 2B:

      Reasoning: The tiger eats 2 fishes per hour, so it will take 12/2 = <<12/2=6>>6 hours to finish all the fishes.
    ### Answer: 6 hours

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A T-shirt company plans to print new shirts. Each design requires 8 shirts to print the first samples. The company just finished printing 56 shirts for this purpose. How many designs does the company plan to print?

Gemma 2B:

      Reasoning: The company plans to print 56 shirts for the first samples of each design.
    To find the number of designs, we can divide the total number of shirts printed (56) by the number of shirts required for each design (8):
    56 ÷ 8 = <<56 ÷ 8=7>>7 designs
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A scooter rental shop charges each rider 7 dollars per hour. If one rider spends 35 dollars, how many hours did they ride the scooter?

Gemma 2B:

      Reasoning: The cost of renting the scooter for one hour is 7 dollars. Therefore, the cost of renting the scooter for one hour is 7 dollars.

    The cost of renting the scooter for one hour is 7 dollars. Therefore, the cost of renting the scooter for one hour is 7 dollars.

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Expected answer: 5

Correct? No

🔗 Problem

Problem: A car travels at a consistent speed and takes 8 hours to complete the trip. If the total distance traveled was 32 miles, what was the speed of the car in miles per hour?

Gemma 2B:

      Reasoning: The total distance traveled is 32 miles.
    The time taken to complete the trip is 8 hours.

    Speed = Distance / Time
    = 32 miles / 8 hours
    = 4 miles per hour

    ### Answer: 4 miles per hour.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A jewelry store sells bracelets in collections. They have 77 bracelets in one collection, and each collection consists of identical bracelets in distinct multiples of 11. How many bracelets are in each multiple?

Gemma 2B:

      Reasoning: The number of bracelets in each multiple is 11, since each collection consists of identical bracelets in distinct multiples of 11.
    Therefore, the number of bracelets in each multiple is 11.
    ### Answer: 11

Expected answer: 7

Correct? No

🔗 Problem

Problem: In a camping trip, the vertical height of a tent is half of its diagonal length. If the diagonal length of the tent is 14 feet, what is the vertical height of the tent?

Gemma 2B:

      Reasoning: The vertical height of the tent is half of its diagonal length, so we can set up the equation:

    Height = Diagonal Length / 2

    Substituting the given value of the diagonal length, we get:

    Height = 14 feet / 2

    Solving for Height, we get:

    Height = 7 feet

    Therefore, the vertical height of the tent is 7 feet.

    ### Answer: 7 feet

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A café sells hot chocolate. Each cup of hot chocolate contains 11 marshmallows. If a customer finds 22 marshmallows in their hot chocolate, how many cups of hot chocolate did they purchase?

Gemma 2B:

      Reasoning: Each cup of hot chocolate contains 11 marshmallows, so the customer found 22 marshmallows in their hot chocolate. To find out how many cups of hot chocolate they purchased, we can divide the number of marshmallows they found by the number of marshmallows in each cup:

    22 ÷ 11 = <<22/11=2>>2 cups of hot chocolate

    Therefore, the customer purchased 2 cups of hot chocolate.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A farmer has a unique breed of tomatoes. When he harvests them, he realizes that the total weight (in kilograms) of the tomatoes, divided equally into 4, gives 11 kilograms per group. How much is the total weight of the tomatoes?

Gemma 2B:

      Let's call the total weight of the tomatoes "x" kilograms.

    We know that the total weight divided equally into 4 groups gives 11 kilograms per group. This means that each group has a weight of 11 kilograms.

    So, the total weight of the tomatoes is 4 times 11 kilograms, which is 44 kilograms.

    Therefore, the total weight of the tomatoes is 44 kilograms.

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: Sarah has 45 pairs of laces for her ice skates. If she uses the same amount of laces for each pair of ice skates, and that amount is 5, how many pairs of ice skates does Sarah have?

Gemma 2B:

      Reasoning: Sarah has 45 pairs of laces, and each pair requires 5 laces. Therefore, Sarah has 45/5 = <<45/5=9>>9 pairs of ice skates.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: On a breezeless day, a wind turbine rotates at half of its speed compared to a windy day. If the wind turbine rotates at 3 revolutions per minute on a breezeless day, how many revolutions per minute does it make on a windy day?

Gemma 2B:

      Reasoning: The wind turbine rotates at half of its speed on a breezeless day, so it rotates at 3/2 = <<3/2=1.5>>1.5 revolutions per minute on a breezeless day.
    On a windy day, the wind turbine rotates at its full speed, so it rotates at 1.5 x 2 = <<1.5 x 2=3>>3 revolutions per minute.
    ### Answer: 3 revolutions per minute

Expected answer: 6

Correct? No

🔗 Problem

Problem: In a roller skate shop, a customer can rent roller skates for a few hours. For each hour, the charge is 5 dollars. If the total charge was 15 dollars, for how many hours did the customer rent the roller skates?

Gemma 2B:

      Reasoning: The total charge was 15 dollars, so the customer rented the roller skates for 15/5 = <<15/5=3>>3 hours.
    ### Answer: 3 hours

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Marie grew a truly bountiful crop of tomatoes this year, yielding 108 tomatoes. If she managed to pack the same number of tomatoes into each box and ended up with 12 boxes, how many tomatoes did each box contain?

Gemma 2B:

      Reasoning: Marie had 108 tomatoes and needed to pack them into 12 boxes. To find out how many tomatoes each box contained, we can divide the number of tomatoes by the number of boxes:

    108 tomatoes ÷ 12 boxes = 9 tomatoes per box

    So, each box contained 9 tomatoes.

    ### Answer: 9 tomatoes per box.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: On a sunny beach day, a group of children starts a fun game. Each child gets to throw a beach ball 7 times in a row. If there have been 21 beach ball throws in total, how many children are there?

Gemma 2B:

      Reasoning: Each child throws the beach ball 7 times, so the total number of throws is 7 x 7 = 49. Since there have been 21 throws in total, there are 21 - 49 = -28 children.
    ### Answer: -28

Expected answer: 3

Correct? No

🔗 Problem

Problem: A mermaid finds a magical clam that generates pearls. The clam can generate 4 pearls every day. The mermaid wants to know how many pearls she will get after 1 day, how many pearls will she have?

Gemma 2B:

      Reasoning: The mermaid will get 4 pearls every day, so she will have 4 pearls after 1 day.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There are 4 liters of juice available at a party. Each guest at the party had an equal share of the juice and each got 1 litre. How many guests attended the party?

Gemma 2B:

      Reasoning: Each guest got 1 liter of juice, so the total amount of juice consumed is 4 liters. Since each guest got an equal share, the number of guests must be equal to the total amount of juice consumed. Therefore, the number of guests is 4.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There are 40 oranges in several boxes. If each box contains 5 oranges, how many boxes are there?

Gemma 2B:

      Reasoning: There are 40 oranges in total.
    If each box contains 5 oranges, then the number of boxes is equal to the total number of oranges divided by the number of oranges in each box.
    40 oranges / 5 oranges per box = 8 boxes.
    ### Answer: 8 boxes

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A jungle gym has different sections. A total of 77 children are able to play on the gym at one time due to safety restrictions. If each section allows for 7 children to play at once, how many sections does the jungle gym have?

Gemma 2B:

      Reasoning:

    Let's call the number of sections "x".

    We know that the total number of children who can play on the gym at one time is 77.

    We also know that each section allows for 7 children to play at once.

    So, we can set up the equation:

    7x = 77

    Solving for x, we get:

    x = 11

    So, the jungle gym has 11 sections.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: In a national park, rangers found that there are 12 bear footprints. If each bear has a total of 6 footprints, how many bears passed through the park?

Gemma 2B:

      Reasoning: Each bear has 6 footprints, so the total number of footprints is 12.
    Therefore, there are 12/6 = <<12/6=2>>2 bears that passed through the park.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Lisa has a laundry basket full of socks. She has 24 socks in total, and all the socks are paired. If each pair contains 2 socks, how many pairs of socks does Lisa have?

Gemma 2B:

      Reasoning: Lisa has 24 socks in total, and each pair contains 2 socks. Therefore, Lisa has 24/2 = <<24/2=12>>12 pairs of socks.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a supermarket, there are 56 tubes of toothpaste on the shelf. If there are 7 tubes of toothpaste for each different flavor, how many different flavors are there?

Gemma 2B:

      Reasoning: There are 56 tubes of toothpaste on the shelf, and each tube is a different flavor. Since there are 7 tubes of toothpaste for each different flavor, we can divide the total number of tubes by 7 to find the number of different flavors.

    56 ÷ 7 = 8

    Therefore, there are 8 different flavors of toothpaste on the shelf.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?

Gemma 2B:

      Reasoning: The photographer took 60 pictures, and each developed photo roll can hold up to 5 pictures. Therefore, the number of photo rolls used is 60/5 = <<60/5=12>>12.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a particular area of the ocean, there are 90 dolphins. If each pod consists of 9 dolphins, how many pods are there?

Gemma 2B:

      Reasoning: To find the number of pods, we need to divide the total number of dolphins by the number of dolphins in each pod.

    90 dolphins / 9 dolphins per pod = 90/9 = 10 pods.

    ### Answer: 10 pods.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: In a community of mermaids, the coral gardens need care and maintenance. It takes 18 hours for a group of mermaids to clean the coral garden. If each mermaid worked for 9 hours, how many mermaids were in the group?

Gemma 2B:

      Reasoning: The total time it takes for the group of mermaids to clean the coral garden is 18 hours. If each mermaid worked for 9 hours, then the group of mermaids would have worked for 18/9 = <<18/9=2>>2 hours.
    Therefore, there were 2 mermaids in the group.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A father wants to set a limit on his son's screen time. He measures the daily television (TV) viewing time in hours. If he sets a limit of 3 hours per day, then how many hours will his son get to watch TV in one day?

Gemma 2B:

      Reasoning: The father sets a limit of 3 hours per day, which means his son will get to watch TV for 3 hours.
    ### Answer: 3 hours

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: At the children's park, there is a long slide which is 24 feet in length. If one segment of the slide is equal to 12 feet, how many segments are there in total on the slide?

Gemma 2B:

      Reasoning: The length of the slide is 24 feet, and each segment is equal to 12 feet. Therefore, there are 24/12 = <<24/12=2>>2 segments on the slide.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a grocery store, every batch of strawberries has the same number of strawberries. If three batches contain a total of 6 strawberries, how many strawberries are there in one batch?

Gemma 2B:

      Reasoning: If three batches contain a total of 6 strawberries, then the total number of strawberries in all three batches is 6.

    Let's call the number of strawberries in one batch "x". Then, the number of strawberries in each batch is x, x, and x.

    So, the total number of strawberries in all three batches is:

    x + x + x = 6

    Simplifying the equation:

    3x = 6

    Dividing both sides by 3:

    x = 2

    Therefore, there are 2 strawberries in one batch.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A toy car factory produces a certain constant number of cars in 1 hour. If the factory produces 8 cars in one hour, what is this production rate constant?

Gemma 2B:

      The production rate constant is the number of cars produced in one hour. In this case, the production rate constant is 8 cars per hour.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A watch store has 50 watches in stock, and they are divided equally into some display cases. If each display case contains 10 watches, how many display cases are there in the store?

Gemma 2B:

      Reasoning: The number of display cases is equal to the number of watches divided by the number of watches in each case.

    Number of display cases = Number of watches / Number of watches in each case
    = 50 / 10
    = 5

    Therefore, there are 5 display cases in the store.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Linda has a collection of dolls. She noticed that if she doubles the quantity of one specific model, she would have 2 dolls of that model. How many dolls of that model does she currently have?

Gemma 2B:

      Reasoning: If Linda doubles the quantity of one specific model, she will have 2 times the current number of dolls of that model.
    Let's say the current number of dolls of that model is x.
    Then, if Linda doubles the quantity, she will have 2x dolls of that model.
    Since Linda has 2 dolls of that model, we can set up the equation:
    2x = 2
    Solving for x, we get:
    x = 1
    So, Linda currently has 1 doll of that specific model.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a medieval castle, a soldier can secure 5 rooms every hour. He has secured 30 rooms in total. How many hours did the soldier work to secure all these rooms?

Gemma 2B:

      Reasoning: The soldier can secure 5 rooms per hour, so he can secure 30 rooms in 30/5 = <<30/5=6>>6 hours.
    ### Answer: 6 hours

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A puzzle consists of several pieces. If you divide the total number of pieces by 9, it gives you 11. How many pieces are there in the puzzle?

Gemma 2B:

      Reasoning: If the total number of pieces in the puzzle is 11 times 9, then the total number of pieces is 11 x 9 = 99.
    Therefore, there are 99 pieces in the puzzle.
    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: A blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, how many blankets do they make in a day?

Gemma 2B:

      Reasoning: The company can make 35 blankets in a week, which is equivalent to 35/7 = <<35/7=5>>5 blankets per day.
    ### Answer: 5 blankets per day.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A student has a total of 2 packs of pencils. Each pack contains 3 pencils. How many pencils does the student have in total?

Gemma 2B:

      Reasoning: The student has 2 packs of pencils, and each pack contains 3 pencils. Therefore, the student has a total of 2 x 3 = <<2 x 3=6>>6 pencils.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: In a juice bar, a fruit section has 45 liters of freshly squeezed orange juice. If each serving of juice requires the same amount in liters, and the quantity is such that it yields 5 servings, what is the quantity in liters of each serving?

Gemma 2B:

      Reasoning: To find the quantity in liters of each serving, we need to divide the total quantity of orange juice by the number of servings.

    Total quantity of orange juice = 45 liters
    Number of servings = 5

    Each serving = 45 liters / 5 = <<45/5=9>>9 liters

    ### Answer: 9 liters

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A clothing store owner has 24 pants in stock. If each box of pants he ordered contains 12 pants, how many boxes did he order?

Gemma 2B:

      Reasoning: The store owner has 24 pants in stock, and each box contains 12 pants. To find out how many boxes he ordered, we can divide the number of pants he has in stock by the number of pants in each box:

    24 pants / 12 pants per box = 2 boxes

    Therefore, the store owner ordered 2 boxes of pants.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a forest, there are bears that stand 8 feet tall each. If the total height of all bears standing together is 8 feet, how many bears are there?

Gemma 2B:

      Reasoning: Each bear stands 8 feet tall, so the total height of all bears standing together is 8 feet.
    Therefore, the number of bears is equal to the total height divided by the height of each bear:
    8 feet / 8 feet per bear = 1 bear
    ### Answer: 1 bear

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A pillow manufacturer produces i pillows each day. If this number is divided by 11, the result is 6 pillows. What is the total number of pillows the manufacturer produces each day?

Gemma 2B:

      Reasoning: The total number of pillows the manufacturer produces each day is 11 times the number of pillows they produce per day, which is 6. Therefore, the total number of pillows the manufacturer produces each day is 6 x 11 = 66.
    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: A warehouse stores 70 crayons and they are distributed equally into multiple boxes. If each box contains 10 crayons, how many boxes are there in the warehouse?

Gemma 2B:

      Reasoning: The total number of crayons in the warehouse is 70.
    Since each box contains 10 crayons, the number of boxes is equal to the total number of crayons divided by the number of crayons in each box.
    So, the number of boxes is 70/10 = <<70/10=7>>7 boxes.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A song lasts for 90 seconds. If every verse takes exactly the same amount of time and the entire song contains 10 verses, how long does each verse last?

Gemma 2B:

      Reasoning: The song lasts for 90 seconds, and there are 10 verses. To find the length of each verse, we can divide the total time by the number of verses:

    90 seconds / 10 verses = 9 seconds per verse

    Therefore, each verse lasts for 9 seconds.
    ### Answer: 9 seconds

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: In a forest nursery, each of the seed trays contains 8 tree saplings. If the total number of saplings is 16, how many seed trays are there?

Gemma 2B:

      Reasoning: The total number of saplings is 16, and each seed tray contains 8 saplings. Therefore, the number of seed trays is 16/8 = <<16/8=2>>2.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a jewelry store, there are 10 bracelets made by one craftsman. If each craftsman made exactly the same amount of bracelets, and there is 1 bracelet per craftsman displayed in the showroom, how many craftsmen's work is displayed in the showroom?

Gemma 2B:

      Reasoning: Each craftsman made exactly the same amount of bracelets, so the number of bracelets made by each craftsman is 10. Since there are 10 bracelets displayed in the showroom, there are 10/1 = <<10/1=10>>10 craftsmen's work displayed in the showroom.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A giraffe spent 2 hours eating leaves. If the giraffe consumes 12 kilograms of leaves in this period, how many kilograms of leaves does the giraffe eat per hour?

Gemma 2B:

      Reasoning: To find the giraffe's rate of consumption, we need to divide the amount of leaves consumed by the time taken to consume them.

    Rate of consumption = Total amount of leaves consumed / Time taken to consume them
    = 12 kg / 2 hours
    = 6 kg/hour

    ### Answer: 6 kg/hour

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A jewelry maker has a total of 36 beads. They want to create a bracelet which involves 9 beads each. How many bracelets can the jewelry maker create?

Gemma 2B:

      Reasoning: The jewelry maker has 36 beads and wants to create a bracelet with 9 beads each. To find the number of bracelets the jewelry maker can create, we need to divide the total number of beads by the number of beads in each bracelet.

    36 beads / 9 beads per bracelet = 4 bracelets

    Therefore, the jewelry maker can create 4 bracelets.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a jungle gym, there are a certain amount of play sections. Each play section has 7 monkeys playing on it. If there are 35 monkeys in total, how many play sections are there in the jungle gym?

Gemma 2B:

      Reasoning:

    Let's call the number of play sections in the jungle gym "x".

    We know that each play section has 7 monkeys playing on it, so the total number of monkeys playing on all the play sections is 7x.

    We also know that there are 35 monkeys in total.

    So, we can set up the equation:

    7x = 35

    To solve for x, we can divide both sides of the equation by 7:

    x = 35/7

    x = 5

    So, there are 5 play sections in the jungle gym.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A person watches a 56-hour long TV series. If they watch the same amount of hours each day and they finish watching in 7 days, how many hours do they watch per day?

Gemma 2B:

      Reasoning: The person watches a total of 56 hours in 7 days, so they watch 56/7 = <<56/7=8>>8 hours per day.
    ### Answer: 8 hours per day.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a furniture warehouse, each door panel weighs 5kg. If the total weight of all door panels is 45kg, how many door panels are there in the warehouse?

Gemma 2B:

      Reasoning: Let's call the number of door panels "x". We know that each door panel weighs 5kg, so the total weight of all door panels is 5x. We are given that the total weight is 45kg, so we can set up the equation:

    5x = 45

    To solve for x, we can divide both sides of the equation by 5:

    x = 45/5

    x = 9

    Therefore, there are 9 door panels in the warehouse.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: There are 9 clouds in the sky. Each cloud has the exact same weight (w). What is the weight of one cloud if the total weight of all the 9 clouds is 9?

Gemma 2B:

      Reasoning: Let's call the weight of one cloud "w". Since there are 9 clouds in total, the total weight of all the clouds is 9w.

    We know that each cloud has the same weight, so the weight of one cloud is the same as the weight of all the clouds. Therefore, the weight of one cloud is 9w / 9 = w.

    So, the weight of one cloud is w.

Expected answer: 1

Correct? No

🔗 Problem

Problem: A train travels at a certain speed. If that speed is halved, it goes at 3 km/hr. What is the original speed of the train in km/hr?

Gemma 2B:

      Let's call the original speed of the train "x" km/hr.

    If the speed is halved, the new speed is 3 km/hr. So, we can set up the equation:

    x/2 = 3

    To solve for x, we can multiply both sides by 2:

    x = 2(3)

    x = 6

    So, the original speed of the train was 6 km/hr.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: James has a toy car collection. He noticed that when he counts his collection, he gets a total of 12 cars. If each type of car he has comes in pairs, how many types of toy cars does James have?

Gemma 2B:

      Reasoning: James has 12 cars in total, and each type of car comes in pairs. Therefore, the number of types of toy cars James has is half of the total number of cars, which is 12/2 = <<12/2=6>>6.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A sailor has several identical boats. If all of his boats are out in the water, there are 8 boats sailing in total. If each boat comes in pairs, how many pairs of boats does the sailor own?

Gemma 2B:

      Reasoning: Let's say the sailor has x pairs of boats. Since each pair of boats is identical, we can represent the total number of boats as 2x.

    We know that 2x boats are sailing in the water, 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, the sailor has 4 pairs of boats.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A farmer harvested 6 kilograms of tomatoes from his farm. If every basket he uses can carry 2 kilograms of tomatoes, how many baskets does he need to pack all his tomatoes?

Gemma 2B:

      Reasoning: The farmer needs 6 kg / 2 kg per basket = <<6/2=3>>3 baskets to pack all his tomatoes.
    ### Answer: 3 baskets

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A police officer notices that every car parked in the no-parking zone receives a ticket. If there are 6 cars parked in the no-parking zone and each is given one ticket, how many tickets does the officer distribute?

Gemma 2B:

      Reasoning: The officer distributes 6 tickets.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: The distance between two points on the moon is 96 miles. If each small sector of the moon covers 8 miles, then how many sectors are there between these two points?

Gemma 2B:

      Reasoning: The distance between the two points is 96 miles. To find the number of sectors, we can divide the distance by the size of each sector:

    96 miles / 8 miles per sector = 12 sectors

    Therefore, there are 12 sectors between the two points on the moon.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A vineyard worker has been assigned to pick grapes from a certain number of plants. He picks 24 bunches of grapes after picking from 4 plants. How many bunches of grapes does he pick from each plant?

Gemma 2B:

      Reasoning: The worker picks 24 bunches of grapes in total.
    If he picks from 4 plants, then he picks 24/4 = <<24/4=6>>6 bunches of grapes from each plant.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A building has 120 square feet of window space. If each window takes up 10 square feet, how many windows are on the building?

Gemma 2B:

      Reasoning: To find the number of windows, we need to divide the total window space by the size of each window.

    120 square feet / 10 square feet per window = <<120/10=12>>12 windows

    ### Answer: 12 windows

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: At a beach party, there are 55 beach balls available for guests to play with. If each color of beach ball is present in groups of 5, how many different colors of beach balls are there?

Gemma 2B:

      Reasoning: Each color of beach ball is present in groups of 5, so there are 55/5 = <<55/5=11>>11 different colors of beach balls.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A pirate finds a chest full of gold doubloons. If each doubloon weighs 9 grams and the total weight of all his doubloons is 90 grams, how many doubloons has the pirate found?

Gemma 2B:

      Reasoning: Each doubloon weighs 9 grams, so the total weight of all the doubloons is 90 grams.
    To find the number of doubloons, we can divide the total weight by the weight of each doubloon:
    90 grams / 9 grams per doubloon = 10 doubloons
    ### Answer: 10 doubloons

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A student has a total of 18 erasers. If he puts them into 6 equally-sized boxes, how many erasers would each box contain?

Gemma 2B:

      Reasoning: To find out how many erasers each box would contain, we need to divide the total number of erasers by the number of boxes.

    18 erasers / 6 boxes = 3 erasers per box

    So, each box would contain 3 erasers.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A beader has 36 beads for making bracelets. If each bracelet uses 12 beads, how many bracelets can the beader make?

Gemma 2B:

      Reasoning: The beader has 36 beads and each bracelet uses 12 beads, so the beader can make 36/12 = <<36/12=3>>3 bracelets.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Mountain Peak, the famous company for manufacturing bicycles, produces a new model of bicycles every year. Currently, they have 63 bicycles ready for sale. If each gear of the new model can sell exactly 7 bicycles, how many gears are there in the new model of the bicycle?

Gemma 2B:

      Reasoning:

    Let's call the number of gears in the new model of bicycle "x".

    Since each gear can sell exactly 7 bicycles, the total number of bicycles that can be sold is 7x.

    We know that Mountain Peak has 63 bicycles ready for sale, so we can set up the equation:

    7x = 63

    To solve for x, we can divide both sides of the equation by 7:

    x = 63/7

    x = 9

    Therefore, there are 9 gears in the new model of bicycle.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A contractor has 80 windows to fit into houses. If each house requires 8 windows, how many houses can the contractor completely outfit with window fittings?

Gemma 2B:

      Reasoning: The contractor has 80 windows, and each house requires 8 windows. To find out how many houses the contractor can completely outfit with window fittings, we can divide the total number of windows by the number of windows required for each house.

    80 windows ÷ 8 windows per house = 10 houses

    Therefore, the contractor can completely outfit 10 houses with window fittings.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A compass maker sells 12 compasses each day for a certain number of days. After a while, he has sold a total of 84 compasses. How many days did it take to sell this many compasses?

Gemma 2B:

      Reasoning: Let's say the compass maker sells x compasses each day. Since he sells 12 compasses each day, we can write an equation:

    x + x + x + ... + x = 84

    (where the addition sign is repeated x times)

    Simplifying the equation, we get:

    x(x + 1) = 84

    Solving for x, we get:

    x = 9

    So, the compass maker sold 9 compasses each day for a total of 84 compasses.

    ### Answer: 9 days

Expected answer: 7

Correct? No

🔗 Problem

Problem: A new computer lab at a school has 3 computers per row. If there are 7 rows in total, how many computers are there in the computer lab?

Gemma 2B:

      Reasoning: There are 3 computers per row, so the total number of computers is 3 x 7 = <<3 x 7=21>>21.
    ### Answer: 21

Expected answer: 21

Correct? Yes

🔗 Problem

Problem: A painter has 4 cups of yellow paint. If he uses those 4 cups to paint at a rate of 1 cup per large wall, how many large walls can he paint?

Gemma 2B:

      Reasoning: The painter can paint 4/1 = <<4/1=4>>4 large walls with the 4 cups of yellow paint.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a lemon farm, each tree produces lemons in a consistent way. If 6 trees can produce 60 lemons in total, how many lemons does each tree, on average, produce?

Gemma 2B:

      Reasoning: Each tree produces lemons in a consistent way, so we can assume that each tree produces the same number of lemons.

    Let's call the number of lemons produced by each tree "x".

    We know that 6 trees can produce 60 lemons in total, so we can write an equation:

    6x = 60

    To find the average number of lemons produced by each tree, we can divide the total number of lemons by the number of trees:

    Average number of lemons produced by each tree = 60 / 6 = 10

    So, each tree produces 10 lemons on average.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: In a library, there are 9 books that form a complete series. If each book in the series corresponds to 1 complete story, how many stories are in the series?

Gemma 2B:

      Reasoning: Each book in the series corresponds to 1 complete story, so the number of stories in the series is equal to the number of books in the series.
    Therefore, the number of stories in the series is 9.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A clothing factory has 6 yards of fabric to make shirts. Each shirt requires 3 yards of fabric. How many shirts can the factory make?

Gemma 2B:

      Reasoning: The factory has 6 yards of fabric, and each shirt requires 3 yards of fabric. Therefore, the factory can make 6/3 = <<6/3=2>>2 shirts.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: There are 24 train compartments in a train. Each train car consists of 8 compartments. How many cars does the train have?

Gemma 2B:

      Reasoning: The number of train compartments is 24, and each train car consists of 8 compartments. Therefore, the number of cars is 24/8 = <<24/8=3>>3 cars.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A clothing factory produces pants and is currently working on 32 pairs. Each rack in the factory can hold 8 pairs of pants. How many racks are being used to hold all the pants?

Gemma 2B:

      Reasoning: To find the number of racks being used, we need to divide the total number of pants by the number of pairs that each rack can hold.

    Total number of pants = 32
    Number of pairs that each rack can hold = 8

    Number of racks = Total number of pants / Number of pairs that each rack can hold
    Number of racks = 32 / 8
    Number of racks = 4

    Therefore, the clothing factory is using 4 racks to hold all the pants.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A contractor is designing a large window for a client. The window is to be separated into smaller square panes. If each square pane has 9 square inches of glass and total square inches of glass used for the large window is 36, what is the number of square panes in the window?

Gemma 2B:

      Reasoning:

    Let's call the number of square panes in the window "x".

    We know that each square pane has 9 square inches of glass, so the total number of square inches of glass used for the large window is 36.

    We can set up the equation:

    9x = 36

    Solving for x, we get:

    x = 4

    So, there are 4 square panes in the window.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Granny loves to knit blankets for her grandchildren. She uses 12 balls of yarn for each blanket. If Granny has 72 balls of yarn, how many blankets can she knit?

Gemma 2B:

      Reasoning: Granny can knit 72/12 = <<72/12=6>>6 blankets with 12 balls of yarn each.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A dairy farm produces milk packets. Each day, it produces 3 times the amount of milk packets it produced on the previous day. If on the third day, it produced 33 milk packets, how many milk packets did it produce on the second day?

Gemma 2B:

      Reasoning: Let's call the number of milk packets produced on the second day "x". We know that the number of milk packets produced on the third day is 33.

    We also know that the number of milk packets produced on the second day is 3 times the number of milk packets produced on the first day. So, we can set up the equation:

    x = 3x

    Simplifying the equation:

    2x = 33

    Dividing both sides by 2:

    x = 16.5

    So, the dairy farm produced 16.5 milk packets on the second day.

    ### Answer: 16.5

Expected answer: 11

Correct? No

🔗 Problem

Problem: A helicopter company has a policy of ensuring that each of their helicopters gets 10 hours of maintenance for every time it's used. If a particular helicopter has had 70 hours of maintenance, how many times has it been used?

Gemma 2B:

      Reasoning: To find out how many times the helicopter has been used, we need to divide the total hours of maintenance by the number of hours required for each use.

    Total hours of maintenance = 70
    Number of hours required for each use = 10

    Number of times used = Total hours of maintenance / Number of hours required for each use
    = 70 / 10
    = 7

    Therefore, the helicopter has been used 7 times.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: There are 6 elephants in the zoo and they are divided into different habitats. If each habitat has 2 elephants, how many habitats are there in the zoo?

Gemma 2B:

      Reasoning: There are 6 elephants in the zoo, and each habitat has 2 elephants. Therefore, the number of habitats in the zoo is 6/2 = <<6/2=3>>3.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A dolphin can jump 5 times in a single minute. If a dolphin continuously jumps for 'p' minutes, it can jump 60 times. How many minutes did the dolphin jump for?

Gemma 2B:

      Reasoning: The dolphin can jump 5 times in a single minute, so it can jump 60 times in 'p' minutes if it jumps for 'p' minutes.

    Let 'p' be the number of minutes the dolphin jumps for.

    We know that the dolphin can jump 60 times in 'p' minutes, so we can set up the equation:

    5p = 60

    To solve for 'p', we can divide both sides of the equation by 5:

    p = 60/5

    p = 12

    Therefore, the dolphin jumps for 12 minutes.

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a large forest, there are groups of trees. Each group has 7 trees. If there are 63 trees in total, how many groups of trees are there in the forest?

Gemma 2B:

      Reasoning: There are 63 trees in total, and each group has 7 trees. Therefore, we can divide 63 by 7 to find the number of groups:

    63 ÷ 7 = 9

    So, there are 9 groups of trees in the forest.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A hat shop has created 96 new hats to sell. If each style has exactly 12 of the same hat, how many styles does the hat shop have?

Gemma 2B:

      Reasoning: The hat shop has created 96 new hats, and each style has exactly 12 of the same hat. Therefore, the hat shop has 96/12 = <<96/12=8>>8 styles.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a certain month, it rained consistently every couple of days. If it rained 24 days in total and each period of continuous rain lasted for 8 days, how many periods of rain were there in that month?

Gemma 2B:

      Reasoning: The total number of days it rained in the month is 24 days. Since each period of continuous rain lasts for 8 days, the number of periods of rain is 24/8 = <<24/8=3>>3.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a factory, 6 bottles are manufactured in a single cycle. If the factory has manufactured 48 bottles today, how many cycles of production have been performed?

Gemma 2B:

      Reasoning: The factory has manufactured 48 bottles, which is equal to 48/6 = <<48/6=8>>8 cycles of production.
    ### Answer: 8 cycles of production

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: At a live concert, a singer wants to sing 110 verses to entertain his fans. He decides to divide the verses evenly among 10 songs. How many verses will there be in each song?

Gemma 2B:

      Reasoning: To divide the verses evenly among 10 songs, we need to divide 110 by 10.
    110 ÷ 10 = <<110/10=11>>11 verses in each song.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: In a photography studio, there are 16 cameras that are shared by photographers. If each photographer gets 2 cameras, how many photographers are there in the studio?

Gemma 2B:

      Reasoning: Each photographer gets 2 cameras, so the total number of cameras is 2 x 16 = <<2 x 16=32>>32.
    Therefore, there are 32/2 = <<32/2=16>>16 photographers in the studio.
    ### Answer: 16

Expected answer: 8

Correct? No

🔗 Problem

Problem: At a zoo, a group of 99 penguins need to be separated into different areas so each one has 9 penguins. How many areas are needed to separate all the penguins evenly?

Gemma 2B:

      Reasoning: To separate the 99 penguins into 9 penguins per area, we need to divide 99 by 9.
    99 ÷ 9 = 11

    Therefore, we need 11 areas to separate all the penguins evenly.
    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A Piano teacher sets a task to practice specific pieces of music. Each piece takes 3 hours to practice thoroughly. If her student has 9 hours for practice, how many pieces can the student practice thoroughly?

Gemma 2B:

      Reasoning: The student has 9 hours for practice, and each piece takes 3 hours to practice thoroughly. Therefore, the student can practice 9/3 = <<9/3=3>>3 pieces thoroughly.
    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a pillow factory, 3 pillows can be stitched from a certain amount of fabric. If the fabric used is divided by 6, that results in the number of pillows that can be made from it. How much fabric is used to make these 3 pillows?

Gemma 2B:

      Reasoning: Let's call the amount of fabric used to make 3 pillows "x". We know that 6 times the number of pillows made from the fabric is equal to the amount of fabric used. So, we can set up the equation:

    6x = x

    Simplifying the equation:

    5x = x

    Dividing both sides by 5:

    x = 1/5

    So, the amount of fabric used to make 3 pillows is 1/5 of the total fabric.

    ### Answer: 1/5

Expected answer: 18

Correct? No

🔗 Problem

Problem: A stationery store sells pens in packs. If each pack contains 9 pens, and there are exactly 9 packs, how many pens are in the store?

Gemma 2B:

      Reasoning: Each pack contains 9 pens, so the total number of pens in the store is 9 packs x 9 pens per pack = 81 pens.
    ### Answer: 81 pens

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: A tiger has 4 pounds of meat for his meal today. If one serving size is an eighth of a pound, then how many servings are in the tiger's meal?

Gemma 2B:

      Reasoning: One serving size is an eighth of a pound, so we can divide the total amount of meat by the serving size to find out how many servings there are.

    4 pounds / 1/8 pound per serving = 32 servings

    ### Answer: 32 servings

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: At a birthday party, there is a long string of 5 meters that is used for tying the balloons. If each balloon requires 1 meter of string to be tied, how many balloons can be tied with this string?

Gemma 2B:

      Reasoning: The string is 5 meters long, and each balloon requires 1 meter of string to be tied. Therefore, the number of balloons that can be tied with this string is 5/1 = <<5/1=5>>5.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A plane crashed into a deserted island and split into multiple parts. After an investigation, it was found that there were 48 parts in total. If each plane section accounts for 8 parts, how many sections did the plane originally have before the crash?

Gemma 2B:

      Reasoning:

    Let's call the original number of sections "x".

    We know that the total number of parts is 48, and each section accounts for 8 parts.

    So, we can set up the equation:

    x \* 8 = 48

    Solving for x, we get:

    x = 48 / 8

    x = 6

    So, the plane originally had 6 sections before the crash.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A farmer has a field full of strawberry plants. He collects 40 strawberries and divides them equally among his friends. If each friend is given 4 strawberries, how many friends does the farmer have?

Gemma 2B:

      Reasoning: The farmer has 40 strawberries and he wants to divide them equally among his friends. If each friend is given 4 strawberries, then the number of friends is 40/4 = <<40/4=10>>10.
    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: On a fun fair, a hot chocolate booth sells their beverage for 10 dollars per cup. One day, they manage to earn a total of 70 dollars. How many cups of hot chocolate did they sell?

Gemma 2B:

      Reasoning: The hot chocolate booth sells their beverage for 10 dollars per cup, so they must have sold 70/10 = <<70/10=7>>7 cups of hot chocolate to earn a total of 70 dollars.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A jeweler has a certain amount of precious rings. If he sold 5 rings for a total of 35 dollars, how much does each ring cost?

Gemma 2B:

      Reasoning: The jeweler sold 5 rings for a total of 35 dollars.
    Let's call the cost of each ring x dollars.
    Then, the total cost of the 5 rings is 5x dollars.
    We know that the total cost is 35 dollars, so we can set up the equation:
    5x = 35
    To solve for x, we can divide both sides by 5:
    x = 35/5
    x = 7
    So, each ring costs 7 dollars.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: There are 60 lions in a national park. If the park authority decides to evenly distribute these lions into different regions such that each region has exactly 10 lions, how many regions would there be?

Gemma 2B:

      Reasoning: To evenly distribute 60 lions into 10 regions, each region would have 6 lions.
    Therefore, there would be 60/6 = <<60/6=10>>10 regions.
    ### Answer: 10

Expected answer: 6

Correct? No

🔗 Problem

Problem: For an upcoming clothing sale, a store decides to discount their jackets. After the discount, each jacket costs 6 dollars. If the original price was "d" dollars and it's now 1/5th of its original price, what was the original price of the jacket?

Gemma 2B:

      Let's call the original price of the jacket "d".

    After the discount, each jacket costs 6 dollars. So, the discount is equal to the original price minus 6 dollars.

    d - 6 = 0

    Solving for d, we get:

    d = 6

    So, the original price of the jacket was 6 dollars.

Expected answer: 30

Correct? No

🔗 Problem

Problem: In a zoo, each giraffe eats 7 pounds of food each day. If the total amount of food consumed by the giraffes is 28 pounds today, how many giraffes are there in the zoo?

Gemma 2B:

      Reasoning: Each giraffe eats 7 pounds of food per day, so the total amount of food consumed by all the giraffes is 7 x number of giraffes = 28 pounds.
    Solving for number of giraffes, we get:
    number of giraffes = 28 / 7 = <<28/7=4>>4 giraffes.
    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a shallow pool, a group of 30 starfish decided to divide themselves equally to live in different zones of the pool. If each zone contains 6 starfish, how many zones are there in total?

Gemma 2B:

      Reasoning: To divide 30 starfish equally among 6 zones, each zone must contain 5 starfish.
    Therefore, there are 30/5 = <<30/5=6>>6 zones in total.
    ### Answer: 6

Expected answer: 5

Correct? No

🔗 Problem

Problem: An astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, how many hours of oxygen does the tank provide each day?

Gemma 2B:

      Reasoning: The astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, he will need to use 88 hours / 8 days = 11 hours of oxygen per day.
    ### Answer: 11 hours

Expected answer: 11

Correct? Yes