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 67B:
Reasoning: If each castle requires 5 builders and there are 15 builders in total, then 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 67B:
Reasoning: If each usage consumes 11 grams of toothpaste, then the number of usages can be calculated by dividing the total amount of toothpaste by the amount used per usage. Number of usages = 77 grams / 11 grams per 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?
DeepSeek 67B:
Reasoning: The manufacturer can produce 8 watches every hour. They have manufactured a total of 48 watches. To find out how many hours they worked, we can divide the total number of watches by the number of watches produced per hour. 48 watches / 8 watches per hour = 6 hours The manufacturer worked for 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?
DeepSeek 67B:
Reasoning: If there are 3 kittens and 3 toy mice, and each kitten has the same number of toy mice, then each kitten has 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?
DeepSeek 67B:
Reasoning: The tiger eats 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: The scooter rental shop charges 7 dollars per hour. If one rider spends 35 dollars, we can divide the total amount spent by the cost per hour to find out how many hours they rode the scooter. 35 dollars / 7 dollars per hour = 5 hours The rider rode the scooter for 5 hours. ### 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?
DeepSeek 67B:
Reasoning: The speed of the car can be calculated by dividing the total distance traveled by the time taken. Speed = Distance / Time Speed = 32 miles / 8 hours Speed = 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?
DeepSeek 67B:
Reasoning: The number of bracelets in each multiple is a factor of 77 that is a multiple of 11. The factors of 77 are 1, 7, 11, and 77. Out of these factors, only 11 is a multiple of 11. Therefore, there are 11 bracelets in each multiple. ### Answer: 11
Expected answer: 7
Correct? No
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 67B:
Reasoning: If the diagonal length of the tent is 14 feet, then the vertical height of the tent 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?
DeepSeek 67B:
Reasoning: If each cup of hot chocolate contains 11 marshmallows, then the customer must have purchased 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 67B:
Reasoning: If the total weight of the tomatoes, divided equally into 4, gives 11 kilograms per group, then the total weight of the tomatoes is 4 * 11 = 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 67B:
Reasoning: Sarah has 45 pairs of laces for her ice skates, and she uses 5 laces for each pair of ice skates. So, 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?
DeepSeek 67B:
Reasoning: If the wind turbine rotates at half of its speed on a breezeless day compared to a windy day, then on a breezeless day it rotates at 1/2 of its speed on a windy day. If the wind turbine rotates at 3 revolutions per minute on a breezeless day, then on a windy day it rotates at 3 * 2 = <<3*2=6>>6 revolutions per minute. ### 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 67B:
Reasoning: The charge for each hour is 5 dollars. If the total charge was 15 dollars, then the customer rented the roller skates for 15/5 = 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: If each child throws a beach ball 7 times, then the total number of children is 21/7 = <<21/7=3>>3. ### 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?
DeepSeek 67B:
Reasoning: The magical clam generates 4 pearls every day. 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?
DeepSeek 67B:
Reasoning: If each guest at the party had an equal share of the juice and each got 1 liter, then the number of guests is equal to the total amount of juice divided by the amount of juice each guest got. The number of guests is 4 liters / 1 liter per guest = <<4/1=4>>4 guests. ### 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?
DeepSeek 67B:
Reasoning: If each box contains 5 oranges, then the number of boxes is 40/5 = <<40/5=8>>8. ### 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 67B:
Reasoning: If each section allows for 7 children to play at once, then the total number of sections is 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?
DeepSeek 67B:
Reasoning: If each bear has a total of 6 footprints, then the number of bears that passed through the park is 12/6 = <<12/6=2>>2. ### 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 67B:
Reasoning: Lisa has 24 socks in total, and each pair contains 2 socks. To find out how many pairs of socks Lisa has, we need to divide the total number of socks by the number of socks in each pair. So, 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?
DeepSeek 67B:
Reasoning: If there are 7 tubes of toothpaste for each different flavor, then the number of different flavors is 56/7 = <<56/7=8>>8. ### 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 67B:
Reasoning: The photographer took 60 pictures, and each photo roll can hold up to 5 pictures. To find out how many photo rolls he used, we divide the total number of pictures by the number of pictures per photo roll: 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?
DeepSeek 67B:
Reasoning: To find the number of pods, we need to divide the total number of dolphins by the number of dolphins in each pod. Number of pods = Total number of dolphins / Number of dolphins in each pod Number of pods = 90 / 9 Number of pods = 10 There are 10 pods in the area. ### 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 67B:
Reasoning: If it takes 18 hours for a group of mermaids to clean the coral garden, and each mermaid worked for 9 hours, then the number of mermaids in the group is 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 67B:
Reasoning: The father sets a limit of 3 hours per day for his son's TV viewing time. ### 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 67B:
Reasoning: The total length of the slide is 24 feet and one segment is equal to 12 feet. To find the total number of segments, we divide the total length of the slide by the length of one segment: 24/12 = <<24/12=2>>2 Therefore, there are 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: The production rate constant is the number of cars produced in one hour. If the factory produces 8 cars in one hour, then the production rate constant is 8 cars per 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?
DeepSeek 67B:
Reasoning: If each display case contains 10 watches, then the total number of watches in the store is 50/10 = <<50/10=5>>5 display cases. ### 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?
DeepSeek 67B:
Reasoning: If Linda doubles the quantity of one specific model, she would have 2 dolls of that model. Let's assume Linda currently has x dolls of that model. If she doubles the quantity, she would have 2x dolls of that model. According to the problem, 2x = 2. To find the value of x, we need to solve the equation 2x = 2. Dividing both sides of the equation by 2, we get x = 1. Therefore, Linda currently has 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?
DeepSeek 67B:
Reasoning: The soldier secured 30/5 = <<30/5=6>>6 rooms every hour. The soldier worked for 30/6 = <<30/6=5>>5 hours to secure all these rooms. ### Answer: 5
Expected answer: 6
Correct? No
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 67B:
Reasoning: If you divide the total number of pieces by 9 and get 11, then the total number of pieces is 9 times 11. So, there are 9*11 = <<9*11=99>>99 pieces in the puzzle. ### 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 67B:
Reasoning: If the company makes 35 blankets in a week, and there are 7 days in a week, then they 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 67B:
Reasoning: The student has 2 packs of pencils, and each pack contains 3 pencils. So, the student has 2 x 3 = <<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?
DeepSeek 67B:
Reasoning: If the fruit section has 45 liters of freshly squeezed orange juice and it yields 5 servings, then the quantity of each serving is 45/5 liters. Calculating the quantity of each serving: 45 liters / 5 servings = 9 liters Answer: Each serving of juice is 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 67B:
Reasoning: The store owner has 24/12 = <<24/12=2>>2 boxes of pants in stock. ### 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?
DeepSeek 67B:
Reasoning: If the total height of all bears standing together is 8 feet, and each bear stands 8 feet tall, then there is 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?
DeepSeek 67B:
Reasoning: Let's denote the number of pillows produced each day as x. According to the problem, x/11 = 6. To find x, we can multiply both sides of the equation by 11: x = 6 * 11 Calculating the result: x = 66 The manufacturer produces 66 pillows each day.
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 67B:
Reasoning: If each box contains 10 crayons, then the total number of boxes can be found by dividing the total number of crayons by the number of crayons per box. Total number of boxes = Total number of crayons / Number of crayons per box Total number of boxes = 70 / 10 Total number of boxes = 7 ### 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 67B:
Reasoning: If the entire song lasts for 90 seconds and contains 10 verses, then 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?
DeepSeek 67B:
Reasoning: If each seed tray contains 8 tree saplings, then the total number of saplings is 8 times the number of seed trays. Let's represent the number of seed trays as x. So, 8x = 16. Dividing both sides of the equation by 8, we get x = 2. Therefore, there are 2 seed trays in the forest 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?
DeepSeek 67B:
Reasoning: If there are 10 bracelets made by one craftsman, and each craftsman made the same amount of bracelets, then there must be 10 craftsmen in total. Since there is 1 bracelet per craftsman displayed in the showroom, there are 10 craftsmen's work displayed in the showroom. ### 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?
DeepSeek 67B:
Reasoning: The giraffe ate 12 kilograms of leaves in 2 hours. To find out how many kilograms of leaves the giraffe eats per hour, we divide the total amount of leaves by the number of hours. So, 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: If there are 35 monkeys in total and each play section has 7 monkeys, then the number of play sections can be found by dividing the total number of monkeys by the number of monkeys per play section. Number of play sections = Total number of monkeys / Number of monkeys per play section Number of play sections = 35 / 7 Number of play sections = 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 67B:
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?
DeepSeek 67B:
Reasoning: If each door panel weighs 5kg, then the total weight of all door panels is 45kg. To find the number of door panels, we divide the total weight by the weight of each door panel: 45kg / 5kg = <<45/5=9>>9 door panels. ### 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 67B:
Reasoning: If the total weight of all the 9 clouds is 9, then the weight of one cloud is 9/9 = 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 67B:
Reasoning: If the train's speed is halved and it goes at 3 km/hr, then the original speed must be twice that value. So, the original speed of the train is 3 * 2 = 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?
DeepSeek 67B:
Reasoning: If James has a total of 12 cars and each type of car comes in pairs, then the number of types of cars he has is 12/2 = 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?
DeepSeek 67B:
Reasoning: If there are 8 boats sailing in total, and each boat comes in pairs, then there must be 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: The officer distributes 6 tickets because there are 6 cars parked in the no-parking zone. ### 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?
DeepSeek 67B:
Reasoning: The distance between the two points is 96 miles. Each small sector covers 8 miles. To find the number of sectors between the two points, we need to divide the total distance by the distance covered by each sector. So, 96 miles / 8 miles = 12 sectors. Therefore, there are 12 sectors between the two points. ### 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: If each window takes up 10 square feet, then the number of windows is equal to the total square footage divided by the square footage per window. So, 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 67B:
Reasoning: If there are 55 beach balls and each color is present in groups of 5, then 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?
DeepSeek 67B:
Reasoning: If each doubloon weighs 9 grams and the total weight of all his doubloons is 90 grams, then the number of doubloons is 90/9 = <<90/9=10>>10. The answer is 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 67B:
Reasoning: The student has 18 erasers and wants to put them into 6 equally-sized boxes. To find out how many erasers each box would contain, we divide the total number of erasers by the number of boxes. So, 18 erasers / 6 boxes = 3 erasers per box. ### 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 67B:
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 67B:
Reasoning: If each gear can sell exactly 7 bicycles, then the number of gears in the new model 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 67B:
Reasoning: The contractor has 80 windows and each house requires 8 windows. The contractor can outfit 80/8 = <<80/8=10>>10 houses completely 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 67B:
Reasoning: Let's assume the number of days the compass maker sold compasses is x. The number of compasses sold each day is 12. The total number of compasses sold is 84. We can set up the equation as follows: Number of compasses sold each day * Number of days = Total number of compasses sold 12 * x = 84 Let's solve for x: 12x = 84 To isolate x, we divide both sides of the equation by 12: 12x / 12 = 84 / 12 x = 7 The compass maker sold compasses for 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?
DeepSeek 67B:
Reasoning: There are 3*7 = <<3*7=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?
DeepSeek 67B:
Reasoning: The painter has 4 cups of yellow paint and uses 1 cup per large wall. Therefore, the painter 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 67B:
Reasoning: If 6 trees produce 60 lemons in total, then 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?
DeepSeek 67B:
Reasoning: Since each book in the series corresponds to 1 complete story, 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?
DeepSeek 67B:
Reasoning: The factory has 6 yards of fabric and each shirt requires 3 yards of fabric. So, 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 67B:
Reasoning: If there are 24 compartments in a train and each train car consists of 8 compartments, then the number of train cars can be found by dividing the total number of compartments by the number of compartments per train car. So, the number of train cars is 24/8 = <<24/8=3>>3. Therefore, the train has 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?
DeepSeek 67B:
Reasoning: The factory is working on 32 pairs of pants, and each rack can hold 8 pairs. To find out how many racks are being used, we divide the total number of pairs by the number of pairs each rack can hold: 32/8 = <<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?
DeepSeek 67B:
Reasoning: If each square pane has 9 square inches of glass and the total square inches of glass used for the large window is 36, then 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: If the dairy farm produces 3 times the amount of milk packets it produced on the previous day, then on the second day, it produced 33/3 = <<33/3=11>>11 milk packets. ### 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?
DeepSeek 67B:
Reasoning: If the helicopter company has a policy of ensuring that each of their helicopters gets 10 hours of maintenance for every time it's used, then the number of times the helicopter has been used can be calculated by dividing the total hours of maintenance by the maintenance hours per use. Let's denote the number of times the helicopter has been used as x. According to the given information, we can write the equation: 10x = 70 Now, we can solve for x: x = 70 / 10 x = 7 So, 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?
DeepSeek 67B:
Reasoning: If each habitat has 2 elephants, then the total 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?
DeepSeek 67B:
Reasoning: If a dolphin can jump 5 times in a single minute, then in 'p' minutes it can jump 5*p times. We know that the dolphin can jump 60 times in 'p' minutes. So, 5*p = 60 To find the value of 'p', we need to divide both sides of the equation by 5. p = 60/5 p = 12 The dolphin jumped for 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 67B:
Reasoning: If each group has 7 trees, then the number of groups is 63/7 = <<63/7=9>>9. ### 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?
DeepSeek 67B:
Reasoning: The number of styles is equal to the total number of hats divided by the number of hats per style. The number of styles is 96/12 = <<96/12=8>>8. ### 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 67B:
Reasoning: If it rained 24 days in total and each period of continuous rain lasted for 8 days, then 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?
DeepSeek 67B:
Reasoning: The factory has manufactured 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?
DeepSeek 67B:
Reasoning: The singer wants to divide 110 verses evenly among 10 songs, so he will sing 110/10 = <<110/10=11>>11 verses in each 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?
DeepSeek 67B:
Reasoning: If each photographer gets 2 cameras, then the total number of cameras is 16/2 = <<16/2=8>>8. Therefore, there are 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?
DeepSeek 67B:
Reasoning: The number of areas needed to separate all the penguins evenly is 99/9 = <<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?
DeepSeek 67B:
Reasoning: The student has 9 hours for practice, and each piece takes 3 hours to practice thoroughly. So, 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?
DeepSeek 67B:
Reasoning: Let's assume the amount of fabric used to make 3 pillows is x. According to the given information, if the fabric used is divided by 6, that results in the number of pillows that can be made from it. So, x/6 = 3 To find the amount of fabric used, we need to solve for x. x = 3 * 6 x = 18 Therefore, 18 units of fabric are used to make these 3 pillows. ### 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?
DeepSeek 67B:
Reasoning: If each pack contains 9 pens, and there are 9 packs, then 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?
DeepSeek 67B:
Reasoning: The tiger has 4 pounds of meat for his meal. If one serving size is an eighth of a pound, then the tiger has 4/(1/8) = <<4/(1/8)=32>>32 servings in his 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?
DeepSeek 67B:
Reasoning: If each balloon requires 1 meter of string to be tied, then the number of balloons that can be tied with a 5-meter 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?
DeepSeek 67B:
Reasoning: If each plane section accounts for 8 parts, then the total number of parts is equal to the number of sections multiplied by 8. Let's represent the number of sections as x. So, 8x = 48 Dividing both sides by 8, we get: x = 48/8 x = 6 Therefore, the plane originally had 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?
DeepSeek 67B:
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?
DeepSeek 67B:
Reasoning: The hot chocolate booth earns 10 dollars per cup. They earned a total of 70 dollars. To find out how many cups they sold, we need to divide the total earnings by the price per cup. So, 70 dollars / 10 dollars per cup = <<70/10=7>>7 cups of hot chocolate. ### 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 67B:
Reasoning: The jeweler sold 5 rings for a total of 35 dollars. To find the cost of each ring, we need to divide the total cost by the number of rings sold. So, 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?
DeepSeek 67B:
Reasoning: If each region has exactly 10 lions, then the total number of lions is evenly divisible by 10. So, the number of regions would be 60/10 = <<60/10=6>>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?
DeepSeek 67B:
Reasoning: Let's denote the original price of the jacket as "d" dollars. After the discount, the price of the jacket is 1/5th of its original price, which is 6 dollars. So, we can write the equation: 1/5 * d = 6 To find the original price of the jacket, we need to solve for "d". Multiplying both sides of the equation by 5, we get: d = 6 * 5 d = 30 The original price of the jacket was 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?
DeepSeek 67B:
Reasoning: If each giraffe eats 7 pounds of food each day, and the total amount of food consumed by the giraffes is 28 pounds, then there are 28/7 = <<28/7=4>>4 giraffes in the zoo. ### 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 67B:
Reasoning: If each zone contains 6 starfish, then the total number of zones is 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 67B:
Reasoning: The astronaut has 88 hours of oxygen in his tank. He can use this tank for 8 days. So, the tank provides 88/8 = <<88/8=11>>11 hours of oxygen each day. ### Answer: 11
Expected answer: 11
Correct? Yes