Common Core Standard 3.OA.A.4
This standard covers the following:
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
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?
DeepSeek Coder 33B:
Reasoning: The total number of builders is 15. Each castle requires 5 builders. So, 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?
DeepSeek Coder 33B:
Reasoning: The total amount of toothpaste in the tube is 77 grams. Each usage consumes 11 grams. To find out how many usages you can get, we divide the total amount of toothpaste by the amount consumed per usage. 77 / 11 = <<77/11=7>>7 usages. Therefore, you can get 7 usages from this tube.
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?
DeepSeek Coder 33B:
Reasoning: The manufacturer can produce 8/hour * 48 watches = 384 hours. ### Answer: 384 hours
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?
DeepSeek Coder 33B:
Reasoning: Since there are 3 kittens and 3 toy mice, each kitten will have 3 toy mice divided by 3 kittens. So, each kitten will have 3/3 = <<3/3=1>>1 toy mouse.
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?
DeepSeek Coder 33B:
Reasoning: The tiger eats 2 fishes per hour. So, to finish all the 12 fishes, it will take 12/2 = <<12/2=6>>6 hours. ### Answer: 6 hours
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?
DeepSeek Coder 33B:
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?
DeepSeek Coder 33B:
Reasoning: The cost of the rental is 35 dollars. The rental shop charges 7 dollars per hour. To find the number of hours, we divide the total cost by the cost per hour. 35 dollars / 7 dollars per hour = <<35/7=5>>5 hours. Therefore, 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?
DeepSeek Coder 33B:
The speed of the car can be calculated by dividing the total distance by the total time. Speed = Distance / Time So, Speed = 32 miles / 8 hours = 32 / 8 = <<32/8=4>>4 miles per hour.
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?
DeepSeek Coder 33B:
Reasoning: The total number of bracelets in the collection is 77. Since each collection consists of identical bracelets in distinct multiples of 11, the number of bracelets in each multiple is 77 divided by the number of multiples, which is 11. So, the number of bracelets in each multiple is 77/11 = <<77/11=7>>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?
DeepSeek Coder 33B:
Reasoning: The vertical height of the tent is half of its diagonal length. So, the vertical height of the tent is 14/2 = <<14/2=7>>7 feet. ### Answer: 7 feet
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?
DeepSeek Coder 33B:
Reasoning: Each cup of hot chocolate contains 11 marshmallows. If a customer finds 22 marshmallows in their hot chocolate, it means they have 22 marshmallows in 11 marshmallows. So, they have 22/11 = <<22/11=2>>2 cups of hot chocolate. ### 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?
DeepSeek Coder 33B:
Reasoning: The total weight of the tomatoes divided equally into 4 groups is 11 kilograms. So, 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?
DeepSeek Coder 33B:
Reasoning: The total number of laces Sarah has is 45. If she uses the same amount of laces for each pair of ice skates, then the total number of laces divided by the number of laces per pair gives the number of pairs of ice skates. So, 45 / 5 = <<45/5=9>>9 pairs of ice skates.
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?
DeepSeek Coder 33B:
Reasoning: The wind turbine rotates at half of its speed on a windy day. So, it rotates at 2*3 = <<2*3=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?
DeepSeek Coder 33B:
Reasoning: The total charge was 15 dollars. For each hour, the charge is 5 dollars. So, the number of hours the customer rented the roller skates is 15 dollars divided by 5 dollars per hour. 15 dollars / 5 dollars per hour = <<15/5=3>>3 hours. Therefore, 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?
DeepSeek Coder 33B:
Reasoning: The total number of tomatoes Marie grew is 108. If she managed to pack the same number of tomatoes into each box, and ended up with 12 boxes, it means that each box contains 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?
DeepSeek Coder 33B:
Reasoning: If there have been 21 beach ball throws in total, and each child gets to throw a beach ball 7 times in a row, then the total number of beach ball throws is equal to the number of children times the number of throws per child. So, we can set up the equation 21 = 7c, where c is the number of children. Solving for c gives us c = 21/7. However, since the number of children must be a whole number, we round down to the nearest whole number. So, c = 21/7 = 3. Therefore, there are 3 children in the group.
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?
DeepSeek Coder 33B:
Reasoning: The mermaid will get 4 pearls every day. So, after 1 day, she 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?
DeepSeek Coder 33B:
Reasoning: Each guest got 1 liter of juice, so the total amount of juice available was 4 liters. Therefore, the number of guests attending the party is 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?
DeepSeek Coder 33B:
Reasoning: If there are 40 oranges in several boxes and each box contains 5 oranges, then 40 divided by 5 equals the number of boxes. 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?
DeepSeek Coder 33B:
Reasoning: The total number of children that can play at once is 77. Each section allows for 7 children to play at once. Therefore, the number of sections is 77/7 = <<77/7=11.0>>11.0. Since the gym can't have a fraction of a section, the gym has 11 sections.
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?
DeepSeek Coder 33B:
Reasoning: Each bear has 6 footprints. So, to find out how many bears passed through the park, we divide the total number of footprints by the number of footprints each bear has. 12 footprints / 6 footprints per bear = <<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?
DeepSeek Coder 33B:
Reasoning: Since all the socks are paired, the total number of socks divided by 2 will give the number of pairs. 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?
DeepSeek Coder 33B:
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?
DeepSeek Coder 33B:
Reasoning: The photographer took 60 pictures. Each developed photo roll from the camera can hold up to 5 pictures. So, to find out how many photo rolls he used, we divide the total number of pictures by the number of pictures each roll can hold. 60 pictures / 5 pictures per roll = <<60/5=12>>12 photo rolls. Therefore, the photographer used 12 photo rolls.
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?
DeepSeek Coder 33B:
Reasoning: The total number of dolphins is 90. Each pod consists of 9 dolphins. So, to find out how many pods there are, we divide the total number of dolphins by the number of dolphins in each pod. 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?
DeepSeek Coder 33B:
Reasoning: The total time it takes for the group of mermaids to clean the coral garden is 18 hours. If each mermaid worked for 9 hours, then the total time for the group is 9 hours per mermaid times the number of mermaids. Therefore, the number of mermaids is 18 hours / 9 hours per mermaid = <<18/9>>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?
DeepSeek Coder 33B:
Reasoning: If the father sets a limit of 3 hours per day, then the son will get 3 hours to watch TV 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?
DeepSeek Coder 33B:
Reasoning: The total length of the slide is 24 feet. Each segment of the slide is 12 feet. So, to find the total number of segments, we divide the total length by the length of one segment. 24 feet / 12 feet = <<24/12=2>>2 segments. Therefore, there are 2 segments in total on the slide.
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?
DeepSeek Coder 33B:
Reasoning: If three batches contain a total of 6 strawberries, then the total number of strawberries in one batch is the total number of strawberries divided by the number of batches. So, the number of strawberries in one batch is 6 / 3 = <<6/3=2>>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?
DeepSeek Coder 33B:
The production rate constant is the number of cars produced in one hour. In this case, it is 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?
DeepSeek Coder 33B:
Reasoning: The total number of watches in the store is 50. If each display case contains 10 watches, then 50 watches can be divided into 5 display cases. Therefore, there are 50/10 = <<50/10=5>>5 display cases in the store.
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?
DeepSeek Coder 33B:
Reasoning: If she doubles the quantity of one specific model, she would have 2 dolls of that model. So, if she has 2 dolls of that model, she has doubled the quantity of one specific model. Therefore, Linda currently has 2 dolls of that model.
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?
DeepSeek Coder 33B:
Reasoning: The soldier secured 30 rooms in total. He can secure 5 rooms every hour. So, the number of hours the soldier worked is 30 rooms / 5 rooms per hour = 30 / 5 = <<30/5=6>>6 hours. ### Answer: 6 hours
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?
DeepSeek Coder 33B:
Reasoning: If you divide the total number of pieces by 9, it gives you 11. This means that the total number of pieces is 9 * 11 = <<9*11=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?
DeepSeek Coder 33B:
Reasoning: The blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, they can make 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?
DeepSeek Coder 33B:
Reasoning: Each pack contains 3 pencils. The student has 2 packs. So, the student has 2*3 = <<2*3=6>>6 pencils in total.
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?
DeepSeek Coder 33B:
Reasoning: The total amount of juice is 45 liters. The juice is divided into 5 servings. Therefore, the quantity of juice in each serving is 45 liters / 5 = <<45/5=9>>9 liters. ### Answer: 9 liters
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?
DeepSeek Coder 33B:
Reasoning: The total number of pants ordered is 24. Each box contains 12 pants. So, to find out how many boxes were ordered, we divide the total number of pants by the number of pants in each box. 24 / 12 = <<24/12=2>>2 boxes were ordered.
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?
DeepSeek Coder 33B:
Reasoning: The total height of all bears standing together is 8 feet. Each bear stands 8 feet tall. So, the number of bears is the total height divided by the height of each bear. Number of bears = 8 feet / 8 feet/bear = <<8/8=1>>1 bear.
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?
DeepSeek Coder 33B:
Reasoning: The manufacturer produces i pillows each day. If this number is divided by 11, the result is 6 pillows. This means that i/11 = 6. Solving for i, we get i = 6*11 = <<6*11=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?
DeepSeek Coder 33B:
Reasoning: The total number of crayons in the warehouse is 70. If each box contains 10 crayons, then 70 crayons can be distributed into 70/10 = <<70/10=7>>7 boxes. ### 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?
DeepSeek Coder 33B:
Reasoning: The total time of the song is 90 seconds. Since the song contains 10 verses, each verse takes 90/10 = <<90/10=9>>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?
DeepSeek Coder 33B:
Reasoning: The total number of saplings is 16. Each seed tray contains 8 saplings. So, the total number of seed trays is 16/8 = <<16/8=2>>2. ### 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?
DeepSeek Coder 33B:
Reasoning: The craftsman's work is displayed in the showroom if there is 1 bracelet per craftsman displayed in the showroom. So, the number of craftsmen's work is displayed in the showroom is 1.
Expected answer: 10
Correct? No
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?
DeepSeek Coder 33B:
Reasoning: The giraffe consumes 12 kilograms of leaves in 2 hours. So, the giraffe consumes 12 kilograms / 2 hours = <<12/2=6>>6 kilograms of leaves per hour.
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?
DeepSeek Coder 33B:
Reasoning: The jewelry maker has 36 beads. They want to create a bracelet which involves 9 beads each. So, to find out how many bracelets they can create, we divide the total number of beads by the number of beads per bracelet. 36 / 9 = <<36/9=4>>4 bracelets. Therefore, the jewelry maker can create 4 bracelets.
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?
DeepSeek Coder 33B:
Reasoning: The total number of monkeys is 35. Each play section has 7 monkeys. So, the number of play sections is 35/7 = <<35/7=5>>5. ### 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?
DeepSeek Coder 33B:
Reasoning: The total number of hours Natalia watches is 56. If they watch the same amount of hours each day, they watch 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?
DeepSeek Coder 33B:
Reasoning: The total weight of all door panels is 45kg. Each door panel weighs 5kg. So, the number of door panels is 45kg / 5kg = <<45/5=9>>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?
DeepSeek Coder 33B:
Reasoning: The total weight of all the clouds is 9. Therefore, 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?
DeepSeek Coder 33B:
Reasoning: If the speed of the train is halved, it means that the new speed is twice the original speed. So, if the new speed is 3 km/hr, the original speed is 2*3 = <<2*3=6>>6 km/hr. ### Answer: 6 km/hr
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?
DeepSeek Coder 33B:
Reasoning: If each type of car comes in pairs, then the total number of cars is twice the number of types of cars. So, if James has a total of 12 cars, he must have 12/2 = <<12/2=6>>6 types of cars.
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?
DeepSeek Coder 33B:
Reasoning: If each boat comes in pairs, then the total number of boats (8) divided by 2 (since each pair consists of 2 boats) gives the number of pairs. 8 boats / 2 boats per pair = <<8/2=4>>4 pairs. ### 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?
DeepSeek Coder 33B:
Reasoning: The farmer harvested 6 kilograms of tomatoes. Each basket can carry 2 kilograms of tomatoes. To find out how many baskets he needs, we divide the total weight of tomatoes by the weight each basket can carry. 6 kilograms / 2 kilograms per basket = <<6/2=3>>3 baskets. So, the farmer needs 3 baskets to pack all his 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?
DeepSeek Coder 33B:
Reasoning: The officer distributes the same number of tickets as there are cars parked in the no-parking zone. So, the officer distributes 6 tickets.
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?
DeepSeek Coder 33B:
Reasoning: The total distance between the two points is 96 miles. Each sector covers 8 miles. To find out how many sectors are there, we divide the total distance by the distance covered by each sector. 96 miles / 8 miles/sector = <<96/8=12>>12 sectors. Therefore, there are 12 sectors between these two points.
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?
DeepSeek Coder 33B:
Reasoning: The worker picks 24 bunches of grapes from 4 plants. This means that he 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?
DeepSeek Coder 33B:
Reasoning: The total window space is 120 square feet. Each window takes up 10 square feet. Therefore, the number of windows 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?
DeepSeek Coder 33B:
Reasoning: Since each color of beach ball is present in groups of 5, the total number of beach balls is 55. Therefore, the number of different colors of beach balls is 55/5 = <<55/5=11>>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?
DeepSeek Coder 33B:
Reasoning: The total weight of all the doubloons is 90 grams. Each doubloon weighs 9 grams. So, the number of doubloons is 90/9 = <<90/9=10>>10. ### 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?
DeepSeek Coder 33B:
Reasoning: If the student has 18 erasers and he puts them into 6 boxes, 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?
DeepSeek Coder 33B:
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?
DeepSeek Coder 33B:
Reasoning: The total number of bicycles in the new model is 63. Each gear can sell 7 bicycles. So, the number of gears is 63/7 = <<63/7=9>>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?
DeepSeek Coder 33B:
Reasoning: The contractor has 80 windows to fit into houses. Each house requires 8 windows. So, the contractor can completely 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?
DeepSeek Coder 33B:
Reasoning: The total number of compasses sold is 12 compasses per day times the number of days. So, 12*days = 84. Solving for days, we get days = 84/12 = <<84/12=7>>7 days. ### Answer: 7 days
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?
DeepSeek Coder 33B:
Reasoning: There are 3 computers per row, so if there are 7 rows, the total number of computers is 3 computers/row * 7 rows = <<3*7=21>>21 computers. ### 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?
DeepSeek Coder 33B:
Reasoning: The painter has 4 cups of yellow paint. He uses those 4 cups to paint at a rate of 1 cup per large wall. So, he can paint 4/1 = <<4/1=4>>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?
DeepSeek Coder 33B:
Reasoning: The total number of lemons produced by all trees is 60. There are 6 trees. So, the average number of lemons produced by each tree is 60/6 = <<60/6=10>>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?
DeepSeek Coder 33B:
Reasoning: Each book in the series corresponds to 1 complete story. So, the number of stories in the series is the same as the number of books in the series. Number of stories = Number of books = <<9>>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?
DeepSeek Coder 33B:
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?
DeepSeek Coder 33B:
Reasoning: The total number of compartments in the train is 24. Each car consists of 8 compartments. So, the number of cars is 24/8 = <<24/8=3>>3. ### 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?
DeepSeek Coder 33B:
Reasoning: The total number of pants produced is 32. Each rack can hold 8 pairs of pants. To find out how many racks are needed, we divide the total number of pants by the number of pairs each rack can hold. 32 / 8 = <<32/8=4>>4 racks are needed.
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?
DeepSeek Coder 33B:
Reasoning: The total square inches of glass used for the large window is 36. Each square pane has 9 square inches of glass. Therefore, the number of square panes in the window is 36/9 = <<36/9=4>>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?
DeepSeek Coder 33B:
Reasoning: Granny has 72 balls of yarn. For each blanket, she uses 12 balls of yarn. So, she 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?
DeepSeek Coder 33B:
Reasoning: On the second day, the dairy farm produced 33/3 = <<33/3=11>>11 milk packets.
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?
DeepSeek Coder 33B:
Reasoning: The helicopter has been used 70/10 = <<70/10=7>>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?
DeepSeek Coder 33B:
Reasoning: The total number of elephants is 6. Each habitat has 2 elephants. So, to find out how many habitats there are, we divide the total number of elephants by the number of elephants in each habitat. 6 / 2 = <<6/2=3>>3 habitats.
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?
DeepSeek Coder 33B:
Reasoning: The dolphin can jump 5 times in a single minute. If it jumps for 'p' minutes, it can jump 5*p times. We know that it can jump 60 times in a single minute, so we can set up the equation 5*p = 60. Solving for 'p', we get p = 60/5 = <<60/5=12>>12 minutes. ### 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?
DeepSeek Coder 33B:
Reasoning: The total number of trees is 63. Each group has 7 trees. So, to find the number of groups, we divide the total number of trees by the number of trees in each group. 63 � 7 = <<63/7=9>>9 groups of trees are there in the forest.
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?
DeepSeek Coder 33B:
Reasoning: The total number of hats divided by the number of each style gives the number of styles. 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?
DeepSeek Coder 33B:
Reasoning: The total number of days it rained is 24. Each period of continuous rain lasted for 8 days. So, to find the number of periods of rain, we divide the total number of rainy days by the number of days in each period. Number of periods of rain = 24 / 8 = <<24/8=3>>3 periods. ### 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?
DeepSeek Coder 33B:
Reasoning: The factory has manufactured 48 bottles today. Each cycle produces 6 bottles. So, 48 bottles divided by 6 bottles per cycle equals 8 cycles. In Python, this calculation would be: ```python total_bottles = 48 bottles_per_cycle = 6 cycles = total_bottles / bottles_per_cycle ``` The result would be 8 cycles.
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?
DeepSeek Coder 33B:
Reasoning: The singer wants to sing 110 verses. He decides to divide the verses evenly among 10 songs. So, the number of verses in each song will be 110/10 = <<110/10=11>>11. ### 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?
DeepSeek Coder 33B:
Reasoning: Each photographer gets 2 cameras. So, the total number of cameras divided by the number of cameras each photographer gets gives the total number of photographers. 16 cameras / 2 cameras per photographer = <<16/2=8>>8 photographers. ### 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?
DeepSeek Coder 33B:
Reasoning: The number of penguins divided by the number of penguins per area gives the number of areas needed. 99 / 9 = <<99/9=11>>11 areas are needed. ### 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?
DeepSeek Coder 33B:
Reasoning: The student can practice 9 hours / 3 hours per piece = <<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?
DeepSeek Coder 33B:
Reasoning: If the fabric used is divided by 6, that results in the number of pillows that can be made from it. So, if 3 pillows can be made from a certain amount of fabric, then that amount of fabric divided by 6 will result in 3 pillows. Let's denote the amount of fabric used as 'f'. Then, we have the following equation: f / 6 = 3 Solving this equation for 'f' gives us the amount of fabric used. So, 'f' = <<3*6=18>>18. Therefore, 18 units of fabric are used to make these 3 pillows.
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?
DeepSeek Coder 33B:
Reasoning: The total number of pens in the store is the number of pens in each pack times the number of packs. 9 pens * 9 packs = <<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?
DeepSeek Coder 33B:
Reasoning: The tiger's meal is 4 pounds. One serving size is an eighth of a pound, so one serving is 1/8 = 0.125 pounds. The number of servings in the tiger's meal is the total weight divided by the weight per serving. So, 4 pounds / 0.125 pounds/serving = <<4/0.125=32>>32 servings. ### 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?
DeepSeek Coder 33B:
Reasoning: The length of the string is 5 meters. Each balloon requires 1 meter of string to be tied. So, the number of balloons that can be tied with this string is 5 meters / 1 meter per balloon = <<5/1=5>>5 balloons.
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?
DeepSeek Coder 33B:
Reasoning: The plane originally had 48/8 = <<48/8=6>>6 sections. ### 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?
DeepSeek Coder 33B:
Reasoning: The farmer divided his strawberries equally among his friends, so each friend gets 4 strawberries. Therefore, the total number of strawberries divided by the number of strawberries each friend gets gives the number of friends. 40 strawberries / 4 strawberries per friend = <<40/4=10>>10 friends.
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?
DeepSeek Coder 33B:
Reasoning: The total amount of money earned is the price per cup times the number of cups sold. So, we can set up the equation 10x = 70, where x is the number of cups sold. Solving for x gives x = 70/10 = <<70/10=7>>7 cups. ### 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?
DeepSeek Coder 33B:
Reasoning: The total cost of 5 rings is 35 dollars. So, the cost of each ring is 35/5 = <<35/5=7>>7 dollars.
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?
DeepSeek Coder 33B:
Reasoning: The total number of lions is 60. If each region has exactly 10 lions, then the number of regions is the total number of lions divided by the number of lions per region. Number of regions = 60 / 10 = <<60/10=6>>6 regions.
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?
DeepSeek Coder 33B:
Reasoning: The jacket was originally priced at "d" dollars. After the discount, it was 1/5th of its original price, so its price is 5/5d = d. Therefore, the original price of the jacket was "d" dollars.
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?
DeepSeek Coder 33B:
Reasoning: The total amount of food consumed by the giraffes is 28 pounds. Each giraffe eats 7 pounds of food each day. So, the total amount of food consumed by one giraffe is 7 pounds. The total amount of food consumed by the giraffes is 28 pounds. So, the number of giraffes 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?
DeepSeek Coder 33B:
Reasoning: If there are 30 starfish and each zone contains 6 starfish, then there are 30/6 = <<30/6=5>>5 zones. ### 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?
DeepSeek Coder 33B:
Reasoning: The astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, he can use the tank for 88/8 = <<88/8=11>>11 hours of oxygen each day. ### Answer: 11
Expected answer: 11
Correct? Yes