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?

Qwen2-Math 72B:

 Reasoning: The number of castles being built is equal to the total number of builders divided by the number of builders required for each castle.
The number of castles being built is 15/5 = <<15/5=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: To find out how many usages you can get from the tube, divide the total amount of toothpaste by the amount used per usage: 77 grams / 11 grams/usage = <<77/11=7>>7 usages.
### 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?

Qwen2-Math 72B:

 Reasoning: The manufacturer produced 48/8 = <<48/8=6>>6 hours.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: There are 3 toy mice and 3 kittens. Each kitten gets 3/3 = <<3/3=1>>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?

Qwen2-Math 72B:

 Reasoning: The tiger will take 12/2 = <<12/2=6>>6 hours to finish all the fishes.
### Answer: 6

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?

Qwen2-Math 72B:

 Reasoning: The company printed 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?

Qwen2-Math 72B:

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

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?

Qwen2-Math 72B:

 Reasoning: The speed of the car is the total distance traveled divided by the time taken.
Speed = 32 miles / 8 hours = <<32/8=4>>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?

Qwen2-Math 72B:

 Reasoning: Let's denote the number of bracelets in each multiple as x. Since the total number of bracelets is 77 and each collection consists of identical bracelets in distinct multiples of 11, we can write the equation: 11x = 77. Solving for x, we get x = 77/11 = <<77/11=7>>7. Therefore, there are 7 bracelets in each multiple.
### Answer: 7

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?

Qwen2-Math 72B:

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

Qwen2-Math 72B:

 Reasoning: The customer found 22 marshmallows in their hot chocolate.
Each cup of hot chocolate contains 11 marshmallows.
To find the number of cups, we divide the total number of marshmallows by the number of marshmallows per cup: 22 marshmallows / 11 marshmallows per cup = <<22/11=2>>2 cups.
### 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?

Qwen2-Math 72B:

 Reasoning: The total weight of the tomatoes is 11*4 = <<11*4=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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: On a windy day, the wind turbine rotates at twice the speed of a breezeless day.
The wind turbine rotates at 3 * 2 = <<3*2=6>>6 revolutions per minute on a windy day.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Qwen2-Math 72B:

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

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?

Qwen2-Math 72B:

 Reasoning: Marie packed 108/12 = <<108/12=9>>9 tomatoes into each box.
### 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?

Qwen2-Math 72B:

 Reasoning: There are 21/7 = <<21/7=3>>3 children.
### 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?

Qwen2-Math 72B:

 Reasoning: The clam can generate 4 pearls every day.
The mermaid will get 4 pearls after 1 day.
### 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?

Qwen2-Math 72B:

 Reasoning: 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. So, the number of guests attended the party is 4/1 = <<4/1=4>>4.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the number of boxes, we divide the total number of oranges by the number of oranges in each box.
40 oranges / 5 oranges per box = <<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?

Qwen2-Math 72B:

 Reasoning: The jungle gym has 77/7 = <<77/7=11>>11 sections.
### 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?

Qwen2-Math 72B:

 Reasoning: There are 12/6 = <<12/6=2>>2 bears that 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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: There are 56/7 = <<56/7=8>>8 different flavors.
### 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?

Qwen2-Math 72B:

 Reasoning: The photographer used 60/5 = <<60/5=12>>12 photo rolls.
### 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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: Let x be the number of mermaids in the group.
x * 9 = 18
x = 18/9 = <<18/9=2>>2
### 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?

Qwen2-Math 72B:

 Reasoning: The father sets a limit of 3 hours per 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?

Qwen2-Math 72B:

 Reasoning: The total length of the slide is 24 feet.
One segment of the slide is 12 feet.
To find the total number of segments, we divide the total length of the slide by the length of one segment: 24 feet / 12 feet = <<24/12=2>>2 segments.
### 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?

Qwen2-Math 72B:

 Reasoning: If three batches contain a total of 6 strawberries, then one batch contains 6/3 = <<6/3=2>>2 strawberries.
### Answer: 2

Expected answer: 2

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The production rate constant is the number of cars produced in one hour. Since the factory produces 8 cars in one hour, the production rate constant is 8 cars per hour.
### Answer: 8 cars per hour

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?

Qwen2-Math 72B:

 Reasoning: The number of display cases is 50/10 = <<50/10=5>>5.
### 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?

Qwen2-Math 72B:

 Reasoning: If Linda doubles the quantity of the specific model, she would have 2 dolls. Therefore, she currently has 2/2 = <<2/2=1>>1 doll of that model.
### Answer: 1

Expected answer: 1

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The soldier secured 30/5 = <<30/5=6>>6 hours.
### 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?

Qwen2-Math 72B:

 Reasoning: Let's denote the total number of pieces as P. According to the problem, P/9 = 11. To find P, we multiply both sides of the equation by 9: P = 11 * 9 = <<11*9=99>>99.
### Answer: 99

Expected answer: 99

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: There are 7 days in a week. So, the company makes 35/7 = <<35/7=5>>5 blankets in a day.
### Answer: 5

Expected answer: 5

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The student has 2 packs of pencils, and each pack contains 3 pencils. Therefore, the total number of pencils is 2 packs * 3 pencils/pack = <<2*3=6>>6 pencils.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the quantity in liters of each serving, we need to divide the total amount of juice by the number of servings.
Total amount of juice = 45 liters
Number of servings = 5
Quantity in liters of each serving = Total amount of juice / Number of servings
Quantity in liters of each serving = 45 liters / 5
Quantity in liters of each serving = 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?

Qwen2-Math 72B:

 Reasoning: The store owner ordered 24/12 = <<24/12=2>>2 boxes of pants.
### Answer: 2

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?

Qwen2-Math 72B:

 Reasoning: Since each bear stands 8 feet tall, and the total height of all bears is 8 feet, there must be only 1 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?

Qwen2-Math 72B:

 Reasoning: i/11 = 6
i = 6*11 = <<6*11=66>>66
### 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?

Qwen2-Math 72B:

 Reasoning: There are 70/10 = <<70/10=7>>7 boxes in the warehouse.
### Answer: 7

Expected answer: 7

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The entire song lasts for 90 seconds.
There are 10 verses in the song.
Each verse lasts for 90/10 = <<90/10=9>>9 seconds.
### Answer: 9

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?

Qwen2-Math 72B:

 Reasoning: There are 16/8 = <<16/8=2>>2 seed trays in the nursery.
### Answer: 2

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?

Qwen2-Math 72B:

 Reasoning: Since there is 1 bracelet per craftsman displayed in the showroom, and there are 10 bracelets made by one craftsman, the number of craftsmen's work displayed in the showroom is equal to the number of bracelets made by one craftsman.
### 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?

Qwen2-Math 72B:

 Reasoning: The giraffe eats 12/2 = <<12/2=6>>6 kilograms of leaves per hour.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The jewelry maker has 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?

Qwen2-Math 72B:

 Reasoning: There are 35/7 = <<35/7=5>>5 play sections in the jungle gym.
### 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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: To find the number of door panels, we divide the total weight by the weight of each panel.
Number of door panels = Total weight / Weight of each panel
Number of door panels = 45kg / 5kg
Number of door panels = 9
### 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?

Qwen2-Math 72B:

 Reasoning: The total weight of all the 9 clouds is 9, so the weight of one cloud is 9/9 = <<9/9=1>>1.
### Answer: 1

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?

Qwen2-Math 72B:

 Reasoning: If the speed is halved, it goes at 3 km/hr. Therefore, the original speed is 3 * 2 = <<3*2=6>>6 km/hr.
### 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?

Qwen2-Math 72B:

 Reasoning: Since each type of car comes in pairs, we can divide the total number of cars by 2 to find the number of types of toy cars.
12/2 = <<12/2=6>>6
### 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?

Qwen2-Math 72B:

 Reasoning: If there are 8 boats in total and each boat comes in pairs, then the sailor owns 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?

Qwen2-Math 72B:

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

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?

Qwen2-Math 72B:

 Reasoning: The officer distributes one ticket per car, so 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?

Qwen2-Math 72B:

 Reasoning: To find the number of sectors between the two points, we need to divide the total distance by the distance covered by each sector.
Number of sectors = Total distance / Distance covered by each sector
Number of sectors = 96 miles / 8 miles
Number of sectors = 12
### 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?

Qwen2-Math 72B:

 Reasoning: The worker picks 24/4 = <<24/4=6>>6 bunches of grapes from each plant.
### Answer: 6

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?

Qwen2-Math 72B:

 Reasoning: The number of windows on the building is 120/10 = <<120/10=12>>12.
### 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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: The pirate has found 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?

Qwen2-Math 72B:

 Reasoning: Each box would contain 18/6 = <<18/6=3>>3 erasers.
### 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?

Qwen2-Math 72B:

 Reasoning: The beader can make 36/12 = <<36/12=3>>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?

Qwen2-Math 72B:

 Reasoning: Let's denote the number of gears as \( g \). Since each gear can sell 7 bicycles, the total number of bicycles that can be sold is \( 7g \). We know that the total number of bicycles ready for sale is 63. Therefore, we can set up the equation:
\[ 7g = 63 \]

To find the number of gears, we need to solve for \( g \):
\[ g = \frac{63}{7} \]
\[ g = 9 \]

### 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?

Qwen2-Math 72B:

 Reasoning: The contractor can outfit 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?

Qwen2-Math 72B:

 Reasoning: The compass maker sells 12 compasses each day. To find out how many days it took to sell 84 compasses, we divide the total number of compasses sold by the number of compasses sold each day. So, 84/12 = <<84/12=7>>7 days.
### Answer: 7

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?

Qwen2-Math 72B:

 Reasoning: There are 7 rows of 3 computers each, so there are 7*3 = <<7*3=21>>21 computers 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?

Qwen2-Math 72B:

 Reasoning: The painter has 4 cups of yellow paint.
He uses 1 cup of paint per large wall.
Therefore, he can paint 4 large walls.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the average number of lemons produced by each tree, we divide the total number of lemons by the number of trees.
Total lemons = 60
Number of trees = 6
Average lemons per tree = Total lemons / Number of trees = 60 / 6 = <<60/6=10>>10
### 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?

Qwen2-Math 72B:

 Reasoning: There are 9 books in the series, and each book corresponds to 1 complete story.
Therefore, there are 9 stories in the series.
### Answer: 9

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?

Qwen2-Math 72B:

 Reasoning: The factory has 6 yards of fabric.
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: There are 24 train compartments in a train. Each train car consists of 8 compartments. How many cars does the train have?

Qwen2-Math 72B:

 Reasoning: The train has 24/8 = <<24/8=3>>3 cars.
### Answer: 3

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?

Qwen2-Math 72B:

 Reasoning: To find the number of racks used, we divide the total number of pairs of pants by the number of pairs each rack can hold.
32 pairs of pants / 8 pairs per rack = <<32/8=4>>4 racks.
### 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?

Qwen2-Math 72B:

 Reasoning: The number of square panes in the window is 36/9 = <<36/9=4>>4.
### 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?

Qwen2-Math 72B:

 Reasoning: Granny can knit 72/12 = <<72/12=6>>6 blankets.
### 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?

Qwen2-Math 72B:

 Reasoning: Let's denote the number of milk packets produced on the second day as x. According to the problem, the number of milk packets produced on the third day is 3 times the number produced on the second day, which can be represented as 3x. We are given that the number of milk packets produced on the third day is 33. Therefore, we can set up the equation 3x = 33. Solving for x, we divide both sides of the equation by 3: x = 33 / 3 = <<33/3=11>>11. Therefore, the dairy farm produced 11 milk packets on the second day.
### Answer: 11

Expected answer: 11

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The helicopter has had 70/10 = <<70/10=7>>7 times the maintenance it needs for each use.
Therefore, the helicopter has been used 7 times.
### Answer: 7

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?

Qwen2-Math 72B:

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

Qwen2-Math 72B:

 Reasoning: The dolphin can jump 5 times in a single minute.
If the dolphin jumps for 'p' minutes, it can jump 5p times.
We know that the dolphin can jump 60 times.
Therefore, 5p = 60.
Solving for 'p', we get p = 60/5 = <<60/5=12>>12.
### Answer: 12

Expected answer: 12

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: There are 63/7 = <<63/7=9>>9 groups of trees in the forest.
### 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?

Qwen2-Math 72B:

 Reasoning: The hat shop has 96/12 = <<96/12=8>>8 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?

Qwen2-Math 72B:

 Reasoning: To find the number of periods of rain, we need to divide the total number of rainy days by the number of days in each period.
Number of periods of rain = Total number of rainy days / Number of days in each period
Number of periods of rain = 24 / 8
Number of periods of rain = 3
### 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?

Qwen2-Math 72B:

 Reasoning: The factory has performed 48/6 = <<48/6=8>>8 cycles of production.
### Answer: 8

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?

Qwen2-Math 72B:

 Reasoning: To find the number of verses in each song, we need to divide the total number of verses by the number of songs.
110 verses / 10 songs = <<110/10=11>>11 verses per song.
### 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?

Qwen2-Math 72B:

 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?

Qwen2-Math 72B:

 Reasoning: To separate the penguins evenly, we need to divide the total number of penguins by the number of penguins in each area.
99 penguins / 9 penguins per area = <<99/9=11>>11 areas.
### 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?

Qwen2-Math 72B:

 Reasoning: The student has 9 hours for practice. 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: 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?

Qwen2-Math 72B:

 Reasoning: Let's denote the amount of fabric used to make 3 pillows as F. According to the problem, if the fabric used is divided by 6, that results in the number of pillows that can be made from it. Therefore, we can write the equation as F/6 = 3. Solving for F, we get F = 3 * 6 = <<3*6=18>>18.
### 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?

Qwen2-Math 72B:

 Reasoning: There are 9 packs of pens, and each pack contains 9 pens.
Therefore, the total number of pens in the store is 9 * 9 = <<9*9=81>>81 pens.
### Answer: 81

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?

Qwen2-Math 72B:

 Reasoning: There are 4*8 = <<4*8=32>>32 servings in the tiger's meal.
### Answer: 32

Expected answer: 32

Correct? Yes

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?

Qwen2-Math 72B:

 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: 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?

Qwen2-Math 72B:

 Reasoning: The plane originally had 48/8 = <<48/8=6>>6 sections before the crash.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The farmer has 40/4 = <<40/4=10>>10 friends.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the number of cups sold, we need to divide the total earnings by the price per cup.
Total earnings = 70 dollars
Price per cup = 10 dollars
Number of cups sold = Total earnings / Price per cup
Number of cups sold = 70 / 10
Number of cups sold = 7
### 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?

Qwen2-Math 72B:

 Reasoning: The cost of each ring is 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?

Qwen2-Math 72B:

 Reasoning: To find the number of regions, we divide the total number of lions by the number of lions per region.
Number of regions = Total lions / Lions per region
Number of regions = 60 / 10
Number of regions = 6
### 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?

Qwen2-Math 72B:

 Reasoning: The original price of the jacket was d dollars.
The discounted price of the jacket is 1/5 * d = <<1/5*d=6>>6 dollars.
Therefore, the original price of the jacket was d = 5 * 6 = <<5*6=30>>30 dollars.
### Answer: 30

Expected answer: 30

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The total amount of food consumed by the giraffes is 28 pounds today.
Each giraffe eats 7 pounds of food each day.
So, the number of giraffes in the zoo is 28/7 = <<28/7=4>>4.
### 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?

Qwen2-Math 72B:

 Reasoning: To find the total number of zones, we need to divide the total number of starfish by the number of starfish in each zone.
Total number of starfish = 30
Number of starfish in each zone = 6
Total number of zones = Total number of starfish / Number of starfish in each zone
Total number of zones = 30 / 6
Total number of zones = 5
### Answer: 5

Expected answer: 5

Correct? Yes

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?

Qwen2-Math 72B:

 Reasoning: The tank provides 88/8 = <<88/8=11>>11 hours of oxygen each day.
### Answer: 11

Expected answer: 11

Correct? Yes