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?
InternLM-Math Base 20B:
Reasoning: 15/5 = <<15/5=3>>3. So, 3 castles are being built. ### 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?
InternLM-Math Base 20B:
Reasoning: 77/11 = <<77/11=7>>7 You can get 7 usages from this tube. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A watch manufacturer can produce 8 watches every hour. After working for some hours, they have manufactured a total of 48 watches. How many hours did they work?
InternLM-Math Base 20B:
Reasoning: 8 × 6 = <<8*6=48>>48, so they 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?
InternLM-Math Base 20B:
Reasoning: 3 kittens and 3 toy mice. 3/3 = <<3/3=1>>1 toy mouse per kitten. ### 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?
InternLM-Math Base 20B:
Reasoning: The tiger eats 2 fishes per hour. So, it 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 7x = 35 x = <<35/7=5>>5 ### 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?
InternLM-Math Base 20B:
Reasoning: The car traveled 32/8 = <<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?
InternLM-Math Base 20B:
Reasoning: The number of bracelets in each multiple must be a factor of 77. The factors of 77 are 1, 7, and 11. ### Answer: 1, 7, and 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: The customer 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?
InternLM-Math Base 20B:
Reasoning: The total weight of the tomatoes, divided equally into 4, gives 11 kilograms per group. 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 5x = 15 x = <<15/5=3>>3 The customer rented the roller skates for 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?
InternLM-Math Base 20B:
Reasoning: Marie packed 108/12 = <<108/12=9>>9 tomatoes in 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?
InternLM-Math Base 20B:
Reasoning: 21/7 = <<21/7=3>>3 There are 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?
InternLM-Math Base 20B:
Reasoning: The mermaid will have 4 pearls after 1 day. The mermaid will have 4+4 = <<4+4=8>>8 pearls after 2 days. The mermaid will have 4+4+4 = <<4+4+4=12>>12 pearls after 3 days. The mermaid will have 4+4+4+4 = <<4+4+4+4=16>>16 pearls after 4 days. The mermaid will have 4+4+4+4+4 = <<4+4+4+4+4=20>>20 pearls after 5 days. The mermaid will have 4+4+4+4+4+4 = <<4+4+4+4+4+4=24>>24 pearls after 6 days. The mermaid will have 4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4=28>>28 pearls after 7 days. The mermaid will have 4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4=32>>32 pearls after 8 days. The mermaid will have 4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4=36>>36 pearls after 9 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4=40>>40 pearls after 10 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4=44>>44 pearls after 11 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4=48>>48 pearls after 12 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4=52>>52 pearls after 13 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4+4=56>>56 pearls after 14 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=60>>60 pearls after 15 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=64>>64 pearls after 16 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=68>>68 pearls after 17 days. The mermaid will have 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4 = <<4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=72>>72 pearls after 18 days. The mermaid will have 4+4+4+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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 40/5 = <<40/5=8>>8 There are 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?
InternLM-Math Base 20B:
Reasoning: 77/7 = <<77/7=11>>11 sections are needed to allow 77 children to play at once. ### 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 56/7 = <<56/7=8>>8 There are 8 different flavors of toothpaste. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?
InternLM-Math Base 20B:
Reasoning: 60/5 = <<60/5=12>>12. ### 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?
InternLM-Math Base 20B:
Reasoning: 90/9 = <<90/9=10>>10 There are 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?
InternLM-Math Base 20B:
Reasoning: 18/9 = <<18/9=2>>2 There were 2 mermaids in the group. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A father wants to set a limit on his son's screen time. He measures the daily television (TV) viewing time in hours. If he sets a limit of 3 hours per day, then how many hours will his son get to watch TV in one day?
InternLM-Math Base 20B:
Reasoning: 3 hours = 3/24 = <<3/24=0.125>>0.125 days. ### Answer: 0.125
Expected answer: 3
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: 24/12 = <<24/12=2>>2 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?
InternLM-Math Base 20B:
Reasoning: 3 batches contain 6 strawberries. 1 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?
InternLM-Math Base 20B:
Reasoning: 8 cars in 1 hour is 8/1 = <<8/1=8>>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?
InternLM-Math Base 20B:
Reasoning: 50/10 = <<50/10=5>>5. There are 5 display cases in the store. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Linda has a collection of dolls. She noticed that if she doubles the quantity of one specific model, she would have 2 dolls of that model. How many dolls of that model does she currently have?
InternLM-Math Base 20B:
Reasoning: Linda 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?
InternLM-Math Base 20B:
Reasoning: The soldier secured 30/5 = <<30/5=6>>6 rooms per hour. The soldier worked 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 35/7 = <<35/7=5>>5 blankets per 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?
InternLM-Math Base 20B:
Reasoning: 2 packs of pencils contain 2*3 = <<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?
InternLM-Math Base 20B:
Reasoning: 45/5 = <<45/5=9>>9 liters of each serving. ### 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?
InternLM-Math Base 20B:
Reasoning: The clothing 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?
InternLM-Math Base 20B:
Reasoning: 8/8 = <<8/8=1>>1 There is 1 bear in the forest. ### 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?
InternLM-Math Base 20B:
Reasoning: i/11 = 6 i = 11*6 = <<11*6=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?
InternLM-Math Base 20B:
Reasoning: 70/10 = <<70/10=7>>7 There are 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?
InternLM-Math Base 20B:
Reasoning: 90/10 = <<90/10=9>>9 seconds. Each verse lasts 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?
InternLM-Math Base 20B:
Reasoning: 16/8 = <<16/8=2>>2 There are 2 seed trays. ### 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?
InternLM-Math Base 20B:
Reasoning: There are 10 bracelets in the showroom. Each bracelet is made by a different craftsman. Therefore, 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 35/7 = <<35/7=5>>5 There are 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 45/5 = <<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?
InternLM-Math Base 20B:
Reasoning: 9w = 9 w = <<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?
InternLM-Math Base 20B:
Reasoning: The original speed of the train is 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?
InternLM-Math Base 20B:
Reasoning: James has <<12/2=6>>6 types of toy cars. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A sailor has several identical boats. If all of his boats are out in the water, there are 8 boats sailing in total. If each boat comes in pairs, how many pairs of boats does the sailor own?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 6/2 = <<6/2=3>>3 baskets. ### 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?
InternLM-Math Base 20B:
Reasoning: The officer distributes 6 tickets. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: The distance between two points on the moon is 96 miles. If each small sector of the moon covers 8 miles, then how many sectors are there between these two points?
InternLM-Math Base 20B:
Reasoning: 96/8 = <<96/8=12>>12 sectors are there between these 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?
InternLM-Math Base 20B:
Reasoning: The worker picked 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?
InternLM-Math Base 20B:
Reasoning: 120/10 = <<120/10=12>>12 windows are on the building. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: At a beach party, there are 55 beach balls available for guests to play with. If each color of beach ball is present in groups of 5, how many different colors of beach balls are there?
InternLM-Math Base 20B:
Reasoning: 55/5 = <<55/5=11>>11 There are 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 18/6 = <<18/6=3>>3 Each box would contain 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: The compass maker sold 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?
InternLM-Math Base 20B:
Reasoning: There are 3 computers per row. There are 7 rows. 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 60/6 = <<60/6=10>>10 lemons per tree. ### 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?
InternLM-Math Base 20B:
Reasoning: There are 9 books in the series. Each book corresponds to 1 story. 9 books = 9 stories ### 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 24/8 = <<24/8=3>>3 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?
InternLM-Math Base 20B:
Reasoning: 32/8 = <<32/8=4>>4 racks are being used to hold all the pants. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A contractor is designing a large window for a client. The window is to be separated into smaller square panes. If each square pane has 9 square inches of glass and total square inches of glass used for the large window is 36, what is the number of square panes in the window?
InternLM-Math Base 20B:
Reasoning: 36/9 = <<36/9=4>>4 The number of square panes in the window is 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: The dairy farm produced 33/3 = <<33/3=11>>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?
InternLM-Math Base 20B:
Reasoning: 10 hours of maintenance for every time it's used. 70 hours of maintenance for 70/10 = <<70/10=7>>7 times it's been used. ### 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?
InternLM-Math Base 20B:
Reasoning: 6/2 = <<6/2=3>>3 habitats. ### 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?
InternLM-Math Base 20B:
Reasoning: 5p = 60 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?
InternLM-Math Base 20B:
Reasoning: 63/7 = <<63/7=9>>9 There are 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?
InternLM-Math Base 20B:
Reasoning: The hat shop has 96/12 = <<96/12=8>>8 styles of hats. ### 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?
InternLM-Math Base 20B:
Reasoning: 24/8 = <<24/8=3>>3. So, there were 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?
InternLM-Math Base 20B:
Reasoning: 48/6 = <<48/6=8>>8. The factory has performed 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 16/2 = <<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?
InternLM-Math Base 20B:
Reasoning: 99/9 = <<99/9=11>>11 ### 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?
InternLM-Math Base 20B:
Reasoning: 9/3 = <<9/3=3>>3 The student can practice 3 pieces of music thoroughly. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: In a pillow factory, 3 pillows can be stitched from a certain amount of fabric. If the fabric used is divided by 6, that results in the number of pillows that can be made from it. How much fabric is used to make these 3 pillows?
InternLM-Math Base 20B:
Reasoning: If 6 pillows can be made from the fabric, then 3 pillows can be made from 3/2 = <<3/2=1.5>>1.5 times the fabric. ### Answer: 1.5
Expected answer: 18
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: There are 9 packs, and each pack contains 9 pens. So, there are 9*9 = <<9*9=81>>81 pens in the store. ### 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?
InternLM-Math Base 20B:
Reasoning: 4/8 = <<4/8=1/2>>1/2. The tiger's meal has <<1/2=0.5>>0.5 servings. ### Answer: 0.5
Expected answer: 32
Correct? No
Problem: At a birthday party, there is a long string of 5 meters that is used for tying the balloons. If each balloon requires 1 meter of string to be tied, how many balloons can be tied with this string?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 48/8 = <<48/8=6>>6 ### 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: 70/10 = <<70/10=7>>7 cups of hot chocolate were sold. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A jeweler has a certain amount of precious rings. If he sold 5 rings for a total of 35 dollars, how much does each ring cost?
InternLM-Math Base 20B:
Reasoning: The jeweler sold 5 rings for 35 dollars. So, each ring costs 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?
InternLM-Math Base 20B:
Reasoning: 60/10 = <<60/10=6>>6 There would be 6 regions. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: For an upcoming clothing sale, a store decides to discount their jackets. After the discount, each jacket costs 6 dollars. If the original price was "d" dollars and it's now 1/5th of its original price, what was the original price of the jacket?
InternLM-Math Base 20B:
Reasoning: The original price of the jacket was 5/1 = <<5/1=5>>5 times the discounted price. The original price of the jacket was 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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: 30/6 = <<30/6=5>>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?
InternLM-Math Base 20B:
Reasoning: 88/8 = <<88/8=11>>11 hours of oxygen per day. ### Answer: 11
Expected answer: 11
Correct? Yes