🔗 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:

      To find the number of castles being built, we need to divide the total number of builders by the number of builders required for each castle.

    15 builders / 5 builders per castle = 3 castles

    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:

      To find out how many usages you can get from the mega-sized tube of toothpaste, we need to divide the total weight of the toothpaste in the tube by the weight of toothpaste consumed in each usage.

    First, let's convert the weight of the toothpaste in grams to kilograms:

    77 grams = 0.077 kg

    Next, let's convert the weight of toothpaste consumed in each usage from grams to kilograms:

    11 grams = 0.011 kg

    Now, we can divide the total weight of the toothpaste in the tube by the weight of toothpaste consumed in each usage to find out how many usages you can get from the tube:

    0.077 kg / 0.011 kg = 7.4 usages

    Therefore, you can get 7.4 usages from the mega-sized tube of toothpaste.

Expected answer: 7

Correct? No

🔗 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:

      Let's call the number of hours worked "x".

    We know that the watch manufacturer can produce 8 watches every hour, so they can produce a total of 8x watches in one hour.

    We also know that they have manufactured a total of 48 watches, so we can set up the equation:

    8x = 48

    To solve for x, we can divide both sides of the equation by 8:

    x = 48/8

    x = 6

    So the watch manufacturer worked for 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:

    Let's say each kitten has x toy mice.

    We know that there are 3 kittens, so the total number of toy mice is 3x.

    We also know that there are only 3 toy mice available, so x cannot be greater than 3.

    Let's try x = 1, 2, or 3.

    If x = 1, then the total number of toy mice is 3, which is not possible.

    If x = 2, then the total number of toy mice is 6, which is not possible.

    If x = 3, then the total number of toy mice is 9, which is not possible.

    Therefore, the number of toy mice each kitten has is 3.

    ### Answer: Each kitten has 3 toy mice.

Expected answer: 1

Correct? No

🔗 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:

      Let's first calculate the number of hours it will take for the tiger to eat all the fishes:

    Number of fishes = 12
    Number of fishes eaten per hour = 2

    Total number of hours = Number of fishes / Number of fishes eaten per hour
    Total number of hours = 12 / 2
    Total number of hours = 6

    Therefore, it will take the tiger 6 hours to finish all the fishes.

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:

      To find the number of designs, we need to divide the number of shirts printed for samples by the number of shirts required for each design.

    56 ÷ 8 = 7

    So, the company plans to print 7 designs.

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:

      To find the number of hours the rider rode the scooter, we can divide the cost of the rental by the hourly rate:

    35 dollars / 7 dollars per hour = 5 hours

    So, the rider rode the scooter for 5 hours.

Expected answer: 5

Correct? Yes

🔗 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:

      To find the speed of the car, we can use the formula:

    Speed = Distance / Time

    In this case, the distance is 32 miles and the time is 8 hours, so we can plug these values into the formula to solve for the speed:

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

    Therefore, the speed of the car was 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:

      Let's call the number of bracelets in each multiple "x".

    Since each collection consists of identical bracelets in distinct multiples of 11, we can write the number of bracelets in each multiple as 11x.

    There are 77 bracelets in total, so we can set up the following equation:

    11x = 77

    To solve for x, we can divide both sides of the equation by 11:

    x = 77/11

    x = 7

    Therefore, there are 7 bracelets in each multiple of 11.

Expected answer: 7

Correct? Yes

🔗 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:

      The vertical height of the tent is half of its diagonal length, which is 14 feet. Therefore, the vertical height of the tent is 14/2 = 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:

      Let's call the number of cups of hot chocolate purchased "x".

    We know that each cup contains 11 marshmallows, so the total number of marshmallows in x cups of hot chocolate is x \* 11.

    We also know that the customer found 22 marshmallows in their hot chocolate, so we can set up the equation:

    x \* 11 = 22

    To solve for x, we can divide both sides of the equation by 11:

    x = 22/11

    x = 2

    So, 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" (in kilograms).

    We know that the total weight of the tomatoes is divided equally into 4 groups, so each group has a weight of x/4.

    We also know that the weight of each group is 11 kilograms, so we can set up the equation:

    x/4 = 11

    To solve for x, we can multiply both sides of the equation by 4:

    x = 4(11)

    x = 44

    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:

      If Sarah uses the same amount of laces for each pair of ice skates and that amount is 5, then she has 45/5 = <<45/5=9>>9 pairs of ice skates.

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:

      If the wind turbine rotates at half of its speed compared to a windy day, then it rotates at 1.5 times its speed on a breezeless day.

    So, if the wind turbine rotates at 3 revolutions per minute on a breezeless day, it will rotate at 3 x 1.5 = 4.5 revolutions per minute on a windy day.

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:

      To find the number of hours the customer rented the roller skates, we can set up an equation using the given information:

    5 dollars/hour x number of hours = 15 dollars

    Dividing both sides by 5 dollars/hour gives us:

    number of hours = 15 dollars / 5 dollars/hour

    Simplifying, we get:

    number of hours = 3 hours

    Therefore, the customer rented the roller skates for 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:

    Let's call the number of tomatoes in each box x.

    We know that Marie packed the same number of tomatoes into each box, so the total number of tomatoes in all the boxes is equal to the number of boxes multiplied by the number of tomatoes in each box.

    12 boxes x x = 108 tomatoes

    We also know that the total number of tomatoes is equal to the number of tomatoes in each box multiplied by the number of boxes.

    x x 12 = 108 tomatoes

    Now we can solve for x:

    x = 108 / 12 = 8.75 tomatoes

    So each box contained approximately 8.75 tomatoes.

Expected answer: 9

Correct? No

🔗 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:

      Let's say there are x children in the group.

    Each child throws the beach ball 7 times, so the total number of beach ball throws is 7x.

    Since there have been 21 beach ball throws in total, we can set up the equation:

    7x = 21

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

    x = 21/7

    x = 3

    So, there are 3 children in the group.

Expected answer: 3

Correct? Yes

🔗 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:

      The mermaid will get 4 pearls after 1 day.

    After 1 day, the mermaid will have 4 pearls.

    ### 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:

      Let's start by using the information that there are 4 liters of juice available.

    Each guest got an equal share of the juice, so each guest got 1 liter of juice.

    Therefore, the total amount of juice that each guest received is 4 liters / 1 liter per guest = 4 guests.

    So, there were 4 guests at the party.

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:

      There are 40 oranges in several boxes, and each box contains 5 oranges. Therefore, the number of boxes is 40/5 = <<40/5=8>>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:

      To find the number of sections in the jungle gym, we need to divide the total number of children who can play on the gym at one time by the number of children who can play in each section.

    77 children / 7 children per section = 11 sections

    Therefore, the jungle gym has 11 sections.

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 a total of 6 footprints, so if there are 12 bear footprints, there must be 12/6 = <<12/6=2>>2 bears in the park.

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:

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

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:

      There are 56/7 = <<56/7=7.85>>7.85 different flavors of toothpaste.
    ### 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:

      Let's say the photographer took x pictures.

    Since each photo roll can hold up to 5 pictures, the photographer used y photo rolls, where y = x/5.

    We know that the photographer took 60 pictures, so we can set up the equation:

    x = 60

    Substituting this into the equation for y, we get:

    y = 60/5

    y = 12

    So the photographer used 12 photo rolls.

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:

      There are 90 dolphins in the area, and each pod consists of 9 dolphins. Therefore, the number of pods is 90/9 = <<90/9=10>>10.

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:

      Let's say the group of mermaids is x.

    We know that it takes 18 hours for the group to clean the coral garden, so we can set up the following equation:

    18 = x \* 9

    Now, we can solve for x:

    x = 18 / 9

    x = 2

    So, there were 2 mermaids in the group.

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:

      If the father sets a limit of 3 hours per day, then his son will get to watch TV for 3 hours in one day.

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:

      There are 24/12 = <<24/12=2>>2 segments on the slide.

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:

      Let's call the number of strawberries in one batch "x".

    We know that the total number of strawberries in three batches is 6.

    So, we can set up the equation:

    3x = 6

    To solve for x, we can divide both sides of the equation by 3:

    x = 6/3

    x = 2

    Therefore, there are 2 strawberries in one batch.

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 8 cars per hour.

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:

      There are 50 watches in total, and each display case contains 10 watches. Therefore, the number of display cases is 50/10 = <<50/10=5>>5 display cases in the store.

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:

      If Linda has 2 dolls of a specific model and doubles the quantity, she will have 2 x 2 = 4 dolls of that model. Therefore, she currently has 4 dolls of that specific model.

Expected answer: 1

Correct? No

🔗 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:

      To find the number of hours it took the soldier to secure all 30 rooms, we need to divide the total number of rooms by the number of rooms he secured per hour.

    30 rooms ÷ 5 rooms/hour = 6 hours

    Therefore, the soldier worked for 6 hours to secure all 30 rooms.

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:

      If the total number of pieces in the puzzle is divided by 9, the result is 11. This means that there are 11 groups of 9 pieces in the puzzle.

    To find the total number of pieces in the puzzle, we need to multiply the number of groups by the number of pieces in each group. In this case, there are 11 groups of 9 pieces each, so the total number of pieces in the puzzle is 11 x 9 = 99.

    Therefore, there are 99 pieces in the puzzle.

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:

      If the blanket making company makes the same number of blankets every day, then they make 35 blankets in a week.

    To find out how many blankets they make in a day, we can divide the total number of blankets made in a week by the number of days in a week.

    35 blankets / 7 days = 5 blankets per day

    Therefore, the blanket making company makes 5 blankets in a 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:

      The student has a total of 2 packs of pencils, and each pack contains 3 pencils. Therefore, the student has a total of 2 x 3 = 6 pencils.

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:

      Let's call the quantity of each serving in liters "x".

    We know that the total quantity of juice in the fruit section is 45 liters, and we want to find the quantity of each serving in liters. We can start by dividing the total quantity by the number of servings we want to make:

    45 liters / 5 servings = x liters per serving

    So, each serving of juice requires 9 liters of juice.

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:

      To find out how many boxes the clothing store owner ordered, we need to divide the total number of pants by the number of pants in each box.

    24 pants / 12 pants per box = 2 boxes

    Therefore, the clothing store owner ordered 2 boxes of pants.

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:

      Let's say there are x bears in the forest.

    The total height of all bears standing together is 8 feet, so the height of each bear is 8/x feet.

    Since there are 8 feet of total height, the height of each bear is 8/x feet, so x = 8/8 = 1.

    Therefore, there is only one bear in the forest.

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:

      Let's call the total number of pillows the manufacturer produces each day "x".

    We know that x/11 = 6, so we can write an equation:

    x/11 = 6

    To solve for x, we can cross-multiply:

    x = 11(6)

    x = 66

    So the manufacturer produces 66 pillows each day.

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:

      There are 70 crayons and each box contains 10 crayons, so there are 70/10 = <<70/10=7>>7 boxes in the warehouse.

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:

      If every verse takes exactly the same amount of time and the entire song contains 10 verses, then each verse lasts for 90 seconds / 10 = 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:

      There are 16/8 = <<16/8=2>>2 seed trays in the forest nursery.

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:

      There are 10 bracelets made by one craftsman, so there are 10 craftsmen's work displayed in the showroom.

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:

      To find out how many kilograms of leaves the giraffe eats per hour, we need to divide the total amount of leaves consumed by the time spent eating them.

    12 kg / 2 hours = 6 kg/hour

    Therefore, the giraffe eats 6 kilograms of leaves per 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:

      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.

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:

      To find the number of play sections in the jungle gym, we need to divide the total number of monkeys by the number of monkeys per play section.

    35 monkeys / 7 monkeys per play section = 5 play sections

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

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:

      To find out how many hours the person watches per day, we need to divide the total number of hours watched (56) by the number of days watched (7).

    56 hours / 7 days = 7.85 hours per day

    So, the person watches approximately 7.85 hours per day.

Expected answer: 8

Correct? No

🔗 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:

      Let's say the total weight of all door panels is 45kg.

    Each door panel weighs 5kg, so the total weight of all door panels is 5kg x number of door panels = 45kg.

    Therefore, the number of door panels is 45/5 = <<45/5=9>>9.

    So, there are 9 door panels in the warehouse.

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:

      Let's say the weight of one cloud is x. Then, the total weight of all the 9 clouds is:

    9x

    Since the total weight of all the clouds is 9, we can set up the equation:

    9x = 9

    Solving for x, we get:

    x = 9/9

    x = 1

    So, the weight of one cloud is 1.

Expected answer: 1

Correct? Yes

🔗 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.

    We know that if the speed is halved, the new speed is 3 km/hr. So, we can set up the equation:

    x - 3 = 0

    Solving for x, we get:

    x = 3 + 3 = 6 km/hr

    Therefore, 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:

      Let's say James has x types of toy cars.

    If each type of car comes in pairs, then James has 2x pairs of toy cars.

    If James has 12 cars altogether, then he has 12/2 = <<12/2=6>>6 pairs of toy cars.

    So, James has x = 6 types of toy cars.

    ### 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:

      If all of the sailor's boats are out in the water, there are 8 boats sailing in total.

    If each boat comes in pairs, there are 8/2 = <<8/2=4>>4 pairs of boats.

    So, the sailor owns 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:

      To find out how many baskets the farmer needs to pack all his tomatoes, we can divide the total weight of tomatoes (6 kg) by the weight of each basket (2 kg):

    6 kg / 2 kg = 3 baskets

    So, the farmer needs 3 baskets to pack all his tomatoes.

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:

      The officer distributes 6 tickets.

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:

      To find the number of sectors between the two points, we need to divide the distance between the points by the length of each sector.

    Distance between the two points = 96 miles
    Length of each sector = 8 miles

    Number of sectors = Distance between the two points / Length of each sector
    Number of sectors = 96 miles / 8 miles
    Number of sectors = 12

    Therefore, there are 12 sectors between the two points.

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:

      To find out how many bunches of grapes the vineyard worker picks from each plant, we need to divide the total number of bunches he picks (24) by the number of plants he picks from (4).

    24 ÷ 4 = 6

    So, the vineyard worker picks 6 bunches of grapes from each of the 4 plants.

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:

      If each window takes up 10 square feet and the building has 120 square feet of window space, then the number of windows is:

    120 / 10 = 12

    Therefore, there are 12 windows on the building.

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:

      There are 55 beach balls in total, and each color group has 5 beach balls. Therefore, there are 55/5 = <<55/5=11>>11 different colors of beach balls.

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:

      To find the number of doubloons, we can use the formula:

    Number of doubloons = Total weight / Weight of each doubloon

    Plugging in the values we know, we get:

    Number of doubloons = 90 grams / 9 grams per doubloon

    Number of doubloons = 10

    Therefore, the pirate has found 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:

      To find out how many erasers each box would contain, we need to divide the total number of erasers by the number of boxes. In this case, we have 18 erasers and 6 boxes, so we can divide 18 by 6 to get the number of erasers in each box:

    18 ÷ 6 = 3

    So each box would contain 3 erasers.

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:

      To find out how many bracelets the beader can make, we need to divide the total number of beads by the number of beads used in each bracelet.

    36 beads / 12 beads per bracelet = 3 bracelets

    So, the beader can make 3 bracelets.

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:

      Let's say the new model of bicycle has x gears.

    We know that 63 bicycles are ready for sale, and each gear can sell exactly 7 bicycles. So, the total number of bicycles that can be sold is:

    x \* 7 = 63

    Now, we can set up an equation:

    x \* 7 = 63

    Dividing both sides by 7, we get:

    x = 63/7

    x = 8.91

    So, there are approximately 8 gears in the new model of the bicycle.

Expected answer: 9

Correct? No

🔗 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:

      To find out how many houses the contractor can completely outfit with window fittings, we need to 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.

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:

      Let's call the number of days it took to sell 84 compasses "x".

    We know that the compass maker sells 12 compasses each day, so the total number of compasses sold in one day is 12x.

    We also know that the total number of compasses sold is 84, so we can set up the equation:

    12x = 84

    To solve for x, we can divide both sides of the equation by 12:

    x = 84/12

    x = 7

    So it took the compass maker 7 days to sell 84 compasses.

Expected answer: 7

Correct? Yes

🔗 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:

      There are 3 computers per row, so the total number of computers in the computer lab is 3 x 7 = 21 computers.

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:

      To find out how many large walls the painter can paint, we need to divide the number of cups of paint by the number of cups used per large wall.

    4 cups of paint / 1 cup per large wall = 4 large walls

    So, the painter can paint 4 large walls.

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:

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

    60 lemons / 6 trees = 10 lemons per tree

    So, each tree produces an average of 10 lemons.

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:

      If each book in the series corresponds to 1 complete story, then the series contains 9 stories.

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:

      To find out how many shirts the factory can make, we need to divide the total amount of fabric by the amount of fabric required for each shirt.

    6 yards of fabric / 3 yards of fabric per shirt = 2 shirts

    Therefore, the factory can make 2 shirts.

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:

      There are 24 train compartments in a train, and each train car consists of 8 compartments. Therefore, the train has 24/8 = <<24/8=3>>3 cars.

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:

      To find out how many racks are being used to hold all the pants, we need to divide the total number of pairs of pants by the number of pairs that can fit on each rack.

    32 pairs / 8 pairs per rack = 4 racks

    So, 4 racks are being used to hold all the pants.

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:

      To find the number of square panes in the window, we need to divide the total square inches of glass by the square inches of each pane.

    36 square inches / 9 square inches per pane = 4 square panes

    Therefore, 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: To find out how many blankets Granny can knit, we need to divide the number of balls of yarn by 12.

    72 ÷ 12 = <<72/12=6>>6 blankets

    ### 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:

      Let's call the number of milk packets produced on the second day "x".

    We know that the dairy farm produces 3 times the amount of milk packets it produced on the previous day, so the number of milk packets produced on the third day is 3x.

    We also know that on the third day, the dairy farm produced 33 milk packets. Therefore, we can set up the equation:

    3x = 33

    To solve for x, we can divide both sides of the equation by 3:

    x = 33/3

    x = 11

    So, the dairy farm produced 11 milk packets on the second day.

Expected answer: 11

Correct? Yes

🔗 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:

      To find out how many times the helicopter has been used, we need to divide the number of hours of maintenance by the number of hours of maintenance per use.

    70 hours of maintenance / 10 hours of maintenance per use = 7 times

    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:

      There are 6 elephants in the zoo and each habitat has 2 elephants, so there are 6/2 = <<6/2=3>>3 habitats in the zoo.

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:

      Let's start by using the information that the dolphin can jump 5 times in a single minute. This means that the dolphin can jump 5 times in 1 minute, or 5/1 = <<5/1=5>>5 times per minute.

    Now, let's use the information that the dolphin continuously jumps for 'p' minutes. This means that the dolphin jumps for a total of p minutes.

    We know that the dolphin can jump 60 times in a single minute, so we can set up the equation:

    p = 60/5

    Solving for p, we get:

    p = <<60/5=12>>12 minutes

    Therefore, the dolphin jumped 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:

      Let's use the formula for the number of groups:

    Number of groups = Total number of trees / Number of trees in each group

    In this case, the total number of trees is 63, and the number of trees in each group is 7.

    So, the number of groups is:

    63 / 7 = 9

    There are 9 groups of trees in the forest.

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:

      If each style has exactly 12 of the same hat, then the total number of hats is 12 x number of styles = 12 x 96 = 1152 hats.

    Therefore, the hat shop has 96/12 = <<96/12=8>>8 styles of hats.

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:

      Let's call the number of periods of rain "P".

    We know that the total number of days with rain is 24, and each period of rain lasts for 8 days. So, we can set up the equation:

    P x 8 = 24

    To solve for P, we can divide both sides by 8:

    P = 24/8

    P = 3

    Therefore, there were 3 periods of rain in that month.

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:

      To find the number of cycles of production, we need to divide the total number of bottles produced (48) by the number of bottles produced in a single cycle (6).

    48 ÷ 6 = 8

    Therefore, 8 cycles of production have been performed.

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:

      To divide the verses evenly among 10 songs, the singer can divide 110 by 10, which gives us 11 verses per song.

    So, each song will have 11 verses.

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:

      If each photographer gets 2 cameras, then there are 16 cameras / 2 cameras per photographer = 8 photographers in the studio.

Expected answer: 8

Correct? Yes

🔗 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:

      To separate the 99 penguins into 9 penguins each, we need to divide the total number of penguins by 9.

    99 penguins / 9 penguins per area = 11 areas

    So, 11 areas are needed to separate all the penguins evenly.

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:

      To determine how many pieces the student can practice thoroughly, we need to divide the total number of hours available for practice by the time required to practice each piece.

    In this case, the student has 9 hours available for practice and each piece takes 3 hours to practice thoroughly. Therefore, we can divide 9 by 3 to get the number of pieces that can be practiced:

    9 hours ÷ 3 hours per piece = 3 pieces

    So, the student can practice 3 pieces of music thoroughly in 9 hours.

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:

      Let's say the amount of fabric used to make 3 pillows is x.

    We know that 3 pillows can be stitched from x, so we can write an equation:

    3 = x/6

    Simplifying the equation:

    3x = 6

    Dividing both sides by 3:

    x = 2

    So, 2 units of fabric are used to make 3 pillows.

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:

      If each pack contains 9 pens and there are 9 packs, then the total number of pens is 9 x 9 = 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:

      To find the number of servings in the tiger's meal, we need to divide the total weight of the meat by the weight of one serving.

    First, let's convert the weight of the meat from pounds to ounces:

    4 pounds x 16 ounces/pound = 64 ounces

    Now, let's convert the weight of one serving from ounces to pounds:

    1/8 pound x 16 ounces/pound = 0.5 pounds

    Now, we can divide the total weight of the meat by the weight of one serving to find the number of servings:

    64 ounces ÷ 0.5 pounds = 128 servings

    Therefore, there are 128 servings in the tiger's meal.

Expected answer: 32

Correct? No

🔗 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:

      To determine how many balloons can be tied with the given string, we need to divide the length of the string by the length required for each balloon.

    The length of the string is 5 meters, and each balloon requires 1 meter of string to be tied. Therefore, we can tie 5 meters / 1 meter = 5 balloons with this string.

    Therefore, the answer is 5 balloons.

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:

      Let's call the number of sections the plane had before the crash "x".

    We know that there were 48 parts in total, and each section accounts for 8 parts. So, we can set up the equation:

    x \* 8 = 48

    To solve for x, we can divide both sides by 8:

    x = 48 / 8

    x = 6

    So, the plane had 6 sections before the crash.

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:

      The farmer has 40 strawberries and divides them equally among his friends, so each friend gets 4 strawberries.

    If the farmer has 40 strawberries and each friend gets 4 strawberries, then the total number of strawberries the farmer has is 40 + (4 x number of friends) = 40 + (4 x x) = 40 + 4x.

    We are given that the total number of strawberries the farmer has is 72, so we can set up the equation:

    40 + 4x = 72

    To solve for x, we can subtract 40 from both sides of the equation:

    4x = 72 - 40
    4x = 32

    Dividing both sides of the equation by 4 gives us the number of friends the farmer has:

    x = 32/4
    x = 8

    Therefore, the farmer has 8 friends.

Expected answer: 10

Correct? No

🔗 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:

      To find out how many cups of hot chocolate the hot chocolate booth sold, we can use the following equation:

    70 dollars / 10 dollars per cup = 7 cups

    So, the hot chocolate booth sold 7 cups of hot chocolate.

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:

      To find out how much each ring costs, we need to divide the total amount of money earned by the number of rings sold:

    35 dollars / 5 rings = 7 dollars per ring

    So each ring costs 7 dollars.

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:

      There would be 60/10 = <<60/10=6>>6 regions.

Expected answer: 6

Correct? Yes

🔗 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 "x".

    We know that the discounted price of the jacket is 6 dollars, so we can set up the equation:

    x - (x/5) = 6

    Simplifying the equation:

    x - x/5 = 6

    Combining like terms:

    5x/5 = 6

    x = 6/5

    x = 1.2

    So, the original price of the jacket was 1.2 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:

      Let's first convert the weight of food consumed by the giraffes to a number of giraffes:

    28 pounds / 7 pounds per giraffe = 4 giraffes

    So, there are 4 giraffes in the zoo.

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:

      There are 30 starfish in total, and each zone contains 6 starfish. Therefore, there are 30/6 = <<30/6=5>>5 zones in total.

Expected answer: 5

Correct? Yes

🔗 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:

      To find out how many hours of oxygen the tank provides each day, we need to divide the total number of hours by the number of days.

    88 hours / 8 days = 11 hours per day

    So, the tank provides 11 hours of oxygen each day.

Expected answer: 11

Correct? Yes