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: The number of castles is equal to the number of builders, which is 15.
### Answer: 15

Expected answer: 3

Correct? No

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: Each usage consumes 11 grams of toothpaste, so 77 ÷ 11 = <<77 ÷ 11=7>>7 usages can be obtained from this tube.
### Answer: 7

Expected answer: 7

Correct? Yes

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: 48 watches/hour = <<48/hour>> hours.
Therefore, they worked for 48/hour hours to produce 48 watches.

Expected answer: 6

Correct? No

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 will have 1 toy mouse.
### Answer: 1

Expected answer: 1

Correct? Yes

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 catches 12/2 = <<12/2=6>>6 fishes per hour.
Therefore, it will take 6 hours for the tiger to finish all the fishes.

Expected answer: 6

Correct? Yes

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 56/8 = <<56/8=7>>7 designs.
### Answer: 7

Expected answer: 7

Correct? Yes

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: 35/7 = <<35/7=5>>5 hours.
The rider spent 5 hours riding the scooter.

Expected answer: 5

Correct? Yes

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: Speed = Distance/Time = 32 ÷ 8 = 4 miles per hour.
### Answer: 4

Expected answer: 4

Correct? Yes

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: Each collection consists of 11 bracelets, and there are 77 ÷ 11 = <<77 ÷ 11=7>>7 multiple collections.
Therefore, each collection consists of 11 bracelets.

Expected answer: 7

Correct? Yes

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 is half of 14 = <<14/2=7>>7 feet.
### Answer: 7

Expected answer: 7

Correct? Yes

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 has 11 marshmallows, so 22/11 = <<22/11=2>>2 cups of hot chocolate were purchased.
### Answer: 2

Expected answer: 2

Correct? Yes

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:

Reasoning: The total weight is 4 * 11 = <<4*11=44>>44 kilograms.
### Answer: 44

Expected answer: 44

Correct? Yes

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 ÷ 5 = <<45 ÷ 5=9>>9 pairs of ice skates.
### Answer: 9

Expected answer: 9

Correct? Yes

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 3 revolutions per minute on a breezy day, so it rotates at 3/2 = <<3/2=1.5>>1.5 times as many revolutions per minute on a windy day.
### Answer: 1.5

Expected answer: 6

Correct? No

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: 15/5 = <<15/5=3>>3 hours.
The customer rented the roller skates for 3 hours.

Expected answer: 3

Correct? Yes

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: Each box contained 108 ÷ 12 = <<108 ÷ 12=9>>9 tomatoes.
### Answer: 9

Expected answer: 9

Correct? Yes

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 gets 7 throws, so there are 21/7 = <<21/7=3>>3 children who get to throw the beach ball.
### Answer: 3

Expected answer: 3

Correct? Yes

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: After 1 day, the mermaid will generate 4 pearls.
After 1 day, the mermaid will have 4 pearls.
### Answer: 4

Expected answer: 4

Correct? Yes

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: 4 ÷ 1 = <<4 ÷ 1=4>>4 guests attended the party.
### Answer: 4

Expected answer: 4

Correct? Yes

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 ÷ 5 = <<40 ÷ 5=8>>8 boxes.
### Answer: 8

Expected answer: 8

Correct? Yes

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: 77 ÷ 7 = <<77 ÷ 7=11>>11 sections have space for children to play.
### Answer: 11

Expected answer: 11

Correct? Yes

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 12 ÷ 6 = <<12 ÷ 6=2>>2 bears passed through the park.
### Answer: 2

Expected answer: 2

Correct? Yes

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 ÷ 2 = <<24 ÷ 2=12>>12 pairs of socks.
### Answer: 12

Expected answer: 12

Correct? Yes

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 ÷ 7 = <<56 ÷ 7=8>>8 different flavors of toothpaste.
### Answer: 8

Expected answer: 8

Correct? Yes

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: 60/5 = <<60/5=12>>12 photo rolls were used.
### Answer: 12

Expected answer: 12

Correct? Yes

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: There are 90 ÷ 9 = <<90 ÷ 9=10>>10 pods.
### Answer: 10

Expected answer: 10

Correct? Yes

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: If each mermaid worked for 9 hours, then 18 ÷ 9 = <<18 ÷ 9=2>>2 mermaids were in the group.
### Answer: 2

Expected answer: 2

Correct? Yes

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 son can watch TV for 3 hours per day, so he will get 3 hours of screen time in one day.
### Answer: 3

Expected answer: 3

Correct? Yes

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: There are 24 ÷ 12 = <<24 ÷ 12=2>>2 segments in total on the slide.
### Answer: 2

Expected answer: 2

Correct? Yes

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: Each batch has 6/3 = <<6/3=2>>2 strawberries.
There are 2 batches, so there are 2*2 = <<2*2=4>>4 strawberries in one batch.

Expected answer: 2

Correct? No

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:

Reasoning: The production rate constant is 8 cars/hour.
### Answer: 8

Expected answer: 8

Correct? Yes

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: There are 50 ÷ 10 = <<50 ÷ 10=5>>5 display cases in the store.
### Answer: 5

Expected answer: 5

Correct? Yes

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 she has x dolls of that model, then she has 2x dolls.
Therefore, Linda has 2x = <<2x=4>>4 dolls of that model.
### Answer: 4

Expected answer: 1

Correct? No

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 secured 5 rooms every hour, so he worked 30/5 = <<30/5=6>>6 hours to secure all the rooms.
### Answer: 6

Expected answer: 6

Correct? Yes

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: There are 9 pieces in the puzzle.
### Answer: 9

Expected answer: 99

Correct? No

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: 35 blankets/week = 35 blankets/day.
### Answer: 35

Expected answer: 5

Correct? No

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 * 3 pencils/pack = <<2*3=6>>6 pencils in total.
### Answer: 6

Expected answer: 6

Correct? Yes

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: Each serving is 45 ÷ 5 = <<45 ÷ 5=9>>9 liters.
### Answer: 9

Expected answer: 9

Correct? Yes

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 number of boxes ordered = <24 ÷ 12> = 2.
The owner ordered 2 boxes of pants.

Expected answer: 2

Correct? Yes

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: There is only one total height of 8 feet, so there is only one bear.
### Answer: 1

Expected answer: 1

Correct? Yes

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 manufacturer produces i = 11x pillows each day.
Therefore, the total number of pillows produced each day is 11x = 11 * 6 = <<11x=66>>66 pillows.
### Answer: 66

Expected answer: 66

Correct? Yes

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: Each box contains 10/70 = <<10/70=0.1428>>14.28 crayons.
There are 70/14.28 = <<70/14.28=4>>4 boxes in the warehouse.

Expected answer: 7

Correct? No

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: Each verse takes 90/10 = <<90/10=9>> seconds.
### Answer: 9 seconds

Expected answer: 9

Correct? Yes

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: Each seed tray contains 8 tree saplings, so 16 ÷ 8 = <<16 ÷ 8=2>>2 trays have 8 tree saplings each.
There are 2 seed trays in the forest nursery.

Expected answer: 2

Correct? Yes

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: There is only 1 bracelet per craftsman displayed in the showroom, so there are 10 craftsmen's work displayed.
### Answer: 10

Expected answer: 10

Correct? Yes

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: The giraffe ate 2 hours x 12 kg = <<2h*12=24kg>>24 kg of leaves per hour.
### Answer: 24

Expected answer: 6

Correct? No

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 can create 36 ÷ 9 = <<36 ÷ 9=4>>4 bracelets.
### Answer: 4

Expected answer: 4

Correct? Yes

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: There are 35 monkeys divided by 7 monkeys per play section = <<35 ÷ 7 = 5>>5 play sections.
### Answer: 5

Expected answer: 5

Correct? Yes

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 56 ÷ 7 = <<56 ÷ 7=8>>8 hours per day.
### Answer: 8

Expected answer: 8

Correct? Yes

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: Each door panel weighs 5kg, and 45kg ÷ 5kg = <<45kg ÷ 5kg=9>>9 door panels are in the warehouse.
### Answer: 9

Expected answer: 9

Correct? Yes

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: Each cloud has the weight of 1/9 of the total weight.
Therefore, the weight of one cloud is 1/9 <<9=1>>1 cloud.

Expected answer: 1

Correct? Yes

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:

Reasoning: Let x be the original speed in km/hr.
Then, x/2 is the speed after it is halved.
Therefore, x/2 = 3, so x = 6.
### Answer: 6

Expected answer: 6

Correct? Yes

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: There are 12 ÷ 2 = <<12 ÷ 2=6>>6 pairs of toy cars.
### Answer: 6

Expected answer: 6

Correct? Yes

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: There are 8/2 = <<8/2=4>>4 pairs of boats.
### Answer: 4

Expected answer: 4

Correct? Yes

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 number of baskets needed is equal to the number of kilograms of tomatoes divided by the capacity of each basket.
So, 6 ÷ 2 = <<6 ÷ 2=3>>3 baskets are needed to pack all the tomatoes.

Expected answer: 3

Correct? Yes

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: 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 number of sectors is equal to the total distance divided by the size of each sector.
Number of sectors = total distance / size of each sector = 96 miles / 8 miles = 12 sectors.
### Answer: 12

Expected answer: 12

Correct? Yes

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: Each plant gives 24/4 = <<24/4=6>>6 grapes.
The vineyard worker picks 24 bunches from 4 plants, each giving 6 grapes.

Expected answer: 6

Correct? Yes

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: There are 120 ÷ 10 = <<120 ÷ 10=12>>12 windows on the building.
### Answer: 12

Expected answer: 12

Correct? Yes

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: There are 55 ÷ 5 = <<55 ÷ 5=11>>11 different colors of beach balls.
### Answer: 11

Expected answer: 11

Correct? Yes

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: The pirate has 90/9 = <<90/9=10>>10 doubloons.
### Answer: 10

Expected answer: 10

Correct? Yes

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: Each box will contain 3 erasers, as 18 ÷ 6 = <<18 ÷ 6=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

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 can make 36 ÷ 12 = <<36 ÷ 12=3>> bracelets.
### Answer: 3

Expected answer: 3

Correct? Yes

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: Each gear can sell 7 bicycles, so there are 63/7 = <<63/7=9>>9 gears in the new model of the bicycle.
### Answer: 9

Expected answer: 9

Correct? Yes

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 can fit 80 ÷ 8 = <<80 ÷ 8=10>>10 houses with window fittings.
### Answer: 10

Expected answer: 10

Correct? Yes

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: The number of days it took to sell 84 compasses is equal to the number of compasses sold divided by the number of compasses sold each day, which is 12.
Therefore, it took 84 ÷ 12 = <<84 ÷ 12=7>>7 days to sell 84 compasses.

Expected answer: 7

Correct? Yes

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 there are 7 rows * 3 computers/row = <<7 rows * 3 computers/row=21 computers>>21 in the computer lab.
### Answer: 21

Expected answer: 21

Correct? Yes

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 1 large wall with 4 cups of paint, so he can paint 4 walls with 4 cups of paint.
### Answer: 4

Expected answer: 4

Correct? Yes

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 60/6 = <<60/6=10>>10 lemons on average.
### Answer: 10

Expected answer: 10

Correct? Yes

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: There are 9 books, each corresponding to 1 story.
So, there are 9 stories in the series.

Expected answer: 9

Correct? Yes

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 can make 6 ÷ 3 = <<6 ÷ 3=2>>2 shirts from the fabric.
The factory can make 2 shirts in April and 2 shirts in May, making a total of 2+2 = <<2+2=4>>4 shirts altogether in April and May.

Expected answer: 2

Correct? No

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: There are 24/8 = <<24/8=3>>3 train cars.
There are 3 train cars in the train.

Expected answer: 3

Correct? Yes

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: There are 32/8 = <<32/8=4>>4 racks being used to hold all the pants.
### Answer: 4

Expected answer: 4

Correct? Yes

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: The total number of square panes is equal to the total area of the window divided by the area of each pane.
36 = 9x number of panes.
Number of panes = 36/9 = <<4>>4 panes.
### Answer: 4

Expected answer: 4

Correct? Yes

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: If Granny uses 12 balls of yarn for each blanket, then she can knit 72/12 = <<72/12=6>>6 blankets with 72 balls of yarn.
### Answer: 6

Expected answer: 6

Correct? Yes

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: On the second day, the farm produced 3 * 33 = <<3*33=99>>99 milk packets.
### Answer: 99

Expected answer: 11

Correct? No

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: The helicopter has had 70/10 = <<70/10=7>>7 times of maintenance.
Therefore, the helicopter has been used 7 times in the past 10 hours.

Expected answer: 7

Correct? Yes

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 6/2 = <<6/2=3>>3 habitats in the zoo.
### Answer: 3

Expected answer: 3

Correct? Yes

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 number of jumps the dolphin can make in a minute is equal to the number of minutes in a minute.
Therefore, if the dolphin jumps for 'p' minutes, it will jump 60p times.
### Answer: 60p

Expected answer: 12

Correct? No

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: 63 ÷ 7 = <<63 ÷ 7=9>>9 groups of trees.
### Answer: 9

Expected answer: 9

Correct? Yes

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 96/12 = <<96/12=8>>8 different styles.
### Answer: 8

Expected answer: 8

Correct? Yes

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: There were 24 ÷ 8 = <<24 ÷ 8=3>>3 periods of rain in that month.
### Answer: 3

Expected answer: 3

Correct? Yes

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: 48 ÷ 6 = <<48 ÷ 6=8>>8 cycles of production have been performed today.
Therefore, 8 cycles of production have been performed in a single day.

Expected answer: 8

Correct? Yes

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: Each song will have 110/10 = <<110/10=11>>11 verses.
### Answer: 11

Expected answer: 11

Correct? Yes

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: There are 16/2 = <<16/2=8>>8 photographers in the studio.
### Answer: 8

Expected answer: 8

Correct? Yes

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 penguins evenly, we need to divide the total number of penguins by the number of penguins in each area.
99 ÷ 9 = <<99 ÷ 9=11>>11 areas are needed to separate the penguins evenly.
### Answer: 11

Expected answer: 11

Correct? Yes

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, so she can practice 9/3 = <<9/3=3>>3 pieces of music thoroughly.
### Answer: 3

Expected answer: 3

Correct? Yes

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: 3 pillows x 6 fabric/pillow = <<3 pillows * 6 fabric/pillow=18 fabric>>18 fabric.
### Answer: 18

Expected answer: 18

Correct? Yes

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: There are 9 packs, each containing 9 pens.
So, there are 9 * 9 = <<9*9=81>>81 pens in the store.

Expected answer: 81

Correct? Yes

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 4 pounds / 8 = <<4/8=0.5>>0.5 servings are in the tiger's meal.
### Answer: 0.5

Expected answer: 32

Correct? No

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: If each balloon requires 1 meter of string, we can divide the total length of string by the length required for each balloon to find the number of balloons that can be tied.
5 ÷ 1 = <<5 ÷ 1=5>>5 balloons can be tied with this string.
### Answer: 5

Expected answer: 5

Correct? Yes

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: Each plane section started with 8 parts. After the crash, each section lost 8 parts. Therefore, the plane originally had 8 parts.
### Answer: 8

Expected answer: 6

Correct? No

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 divides 40 by 4 to get 10 friends.
The farmer gives 4 strawberries to each friend, so each friend receives 10/4 = <<2.5>>2.5 strawberries.
### Answer: 10

Expected answer: 10

Correct? Yes

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: To find the number of cups sold, we divide the total earnings by the price per cup.
70 ÷ 10 = <<70 ÷ 10=7>>7 cups of hot chocolate were sold.
### Answer: 7

Expected answer: 7

Correct? Yes

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: If he sold 5 rings for 35 dollars, each ring cost 35/5 = <<35/5=7>>7 dollars.
### Answer: 7

Expected answer: 7

Correct? Yes

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: If there are 60 lions, each region would have 10/60 = <<10/60=0.1666...>>16.66... lions.
There would be 6 regions.
### Answer: 6

Expected answer: 6

Correct? Yes

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:

Reasoning: If the jacket is now 1/5th of its original price, we have the equation:

0.25d = d

Solving for d, we get:

0.25d - d = 0

0.75d = 0

d = 0

Therefore, the original price of the jacket was $0.

Expected answer: 30

Correct? No

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 each day, so 28/7 = <<28/7=4>>4 giraffes are in the zoo today.
### Answer: 4

Expected answer: 4

Correct? Yes

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: Each zone will have 6/30 = <<6/30=0.2>>20% of the total number of zones.
There are 30/0.2 = <<30/0.2=150>>150 zones in the pool.

Expected answer: 5

Correct? No

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 can use 88/8 = <<88/8=11>>11 hours of oxygen each day from his tank.
### Answer: 11

Expected answer: 11

Correct? Yes