Mixtral 8x22B on 3.OA.A.4
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?
Mixtral 8x22B:
Reasoning: The number of castles being built is equal to the total number of builders divided by the number of builders required for each castle. 15 builders / 5 builders per castle = <<15/5=3>>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?
Mixtral 8x22B:
Reasoning: The number of usages you can get from the tube is 77/11 = <<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?
Mixtral 8x22B:
Reasoning: The watch manufacturer produces 8 watches every hour. They have produced a total of 48 watches. To find out how many hours they worked, we divide the total number of watches produced by the number of watches produced per hour. 48 watches / 8 watches per hour = <<48/8=6>>6 hours ### Answer: 6 hours
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?
Mixtral 8x22B:
Reasoning: There are 3 kittens and 3 toy mice available. Each kitten will have 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?
Mixtral 8x22B:
Reasoning: The tiger catches 12 fishes and eats 2 fishes per hour. So, it will take 12/2 = <<12/2=6>>6 hours for the tiger 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?
Mixtral 8x22B:
Reasoning: The company printed 56/8 = <<56/8=7>>7 designs worth of shirts. ### 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?
Mixtral 8x22B:
Reasoning: The rider spent 35/7 = <<35/7=5>>5 hours riding the scooter. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A car travels at a consistent speed and takes 8 hours to complete the trip. If the total distance traveled was 32 miles, what was the speed of the car in miles per hour?
Mixtral 8x22B:
Reasoning: The car traveled 32 miles in 8 hours. The speed of the car is 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?
Mixtral 8x22B:
Reasoning: Since each collection consists of identical bracelets in distinct multiples of 11, we need to find a multiple of 11 that is closest to 77. The multiples of 11 are 11, 22, 33, 44, 55, 66, 77, 88, 99, etc. The closest multiple of 11 to 77 is 77 itself. Therefore, there are 77/11 = <<77/11=7>>7 bracelets in each multiple. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In a camping trip, the vertical height of a tent is half of its diagonal length. If the diagonal length of the tent is 14 feet, what is the vertical height of the tent?
Mixtral 8x22B:
Reasoning: The diagonal length of the tent is 14 feet. The vertical height of the tent is half of its diagonal length, so the vertical height 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
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 = <<4\*11=44>>44 kilograms. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: Sarah has 45 pairs of laces for her ice skates. If she uses the same amount of laces for each pair of ice skates, and that amount is 5, how many pairs of ice skates does Sarah have?
Mixtral 8x22B:
Reasoning: Sarah uses 5 laces for each pair of ice skates. 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?
Mixtral 8x22B:
Reasoning: If the wind turbine rotates at 3 revolutions per minute on a breezeless day, then 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?
Mixtral 8x22B:
Reasoning: The customer paid 15/5 = <<15/5=3>>3 hours worth of rent. ### Answer: 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: Each child throws the beach ball 7 times, so the total number of throws is equal to the number of children multiplied by 7. Let's call the number of children "c". Then, 7c = 21. To find the number of children, we divide both sides of the equation by 7: c = 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?
Mixtral 8x22B:
Reasoning: The 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?
Mixtral 8x22B:
Reasoning: If each guest got 1 liter of juice and there were 4 liters of juice available, then there were 4 guests at the party. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: There are 40 oranges in several boxes. If each box contains 5 oranges, how many boxes are there?
Mixtral 8x22B:
Reasoning: The number of boxes is 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?
Mixtral 8x22B:
Reasoning: The jungle gym has 77/7 = <<77/7=11>>11 sections. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a national park, rangers found that there are 12 bear footprints. If each bear has a total of 6 footprints, how many bears passed through the park?
Mixtral 8x22B:
Reasoning: Each bear has 6 footprints, so the number of bears that passed through the park is 12/6 = <<12/6=2>>2 bears. ### 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?
Mixtral 8x22B:
Reasoning: Since Lisa has 24 socks and each pair contains 2 socks, she 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?
Mixtral 8x22B:
Reasoning: There are 56/7 = <<56/7=8>>8 different flavors of toothpaste. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?
Mixtral 8x22B:
Reasoning: The photographer took 60 pictures, and each photo roll can hold up to 5 pictures. Therefore, the photographer used 60/5 = <<60/5=12>>12 photo rolls. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a particular area of the ocean, there are 90 dolphins. If each pod consists of 9 dolphins, how many pods are there?
Mixtral 8x22B:
Reasoning: The number of pods is equal to the total number of dolphins divided by the number of dolphins in each pod. Number of pods = 90/9 = <<90/9=10>>10 ### Answer: 10 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
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?
Mixtral 8x22B:
Reasoning: If one mermaid worked for 9 hours, then two mermaids would work for 18 hours. Since it takes 18 hours for the group of mermaids to clean the coral garden, there must have been 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?
Mixtral 8x22B:
Reasoning: The father sets a limit of 3 hours per day for his son's TV viewing time. Therefore, the son will get to watch TV for 3 hours in one day. ### Answer: 3 hours
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?
Mixtral 8x22B:
Reasoning: The slide is 24 feet long and each segment is 12 feet long. Therefore, there are 24/12 = <<24/12=2>>2 segments on the slide. ### Answer: 2 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The production rate constant is the number of cars produced in one hour. The production rate constant is 8 cars per hour. ### Answer: 8 cars per hour
Expected answer: 8
Correct? Yes
Problem: A watch store has 50 watches in stock, and they are divided equally into some display cases. If each display case contains 10 watches, how many display cases are there in the store?
Mixtral 8x22B:
Reasoning: The store has 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?
Mixtral 8x22B:
Reasoning: If Linda doubles the quantity of one specific model and ends up with 2 dolls of that model, it means she currently has half of that amount. Half of 2 is 1. ### 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?
Mixtral 8x22B:
Reasoning: The soldier can secure 5 rooms every hour, and he has secured 30 rooms in total. To find out how many hours he worked, we divide the total number of rooms by the number of rooms he can secure in an hour. 30 rooms / 5 rooms per hour = <<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?
Mixtral 8x22B:
Reasoning: If the total number of pieces divided by 9 gives 11, then the total number of pieces is 11 \* 9 = <<11\*9=99>>99. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: A blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, how many blankets do they make in a day?
Mixtral 8x22B:
Reasoning: The company makes 35 blankets in 7 days, so 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?
Mixtral 8x22B:
Reasoning: The student has 2 packs of pencils, and each pack contains 3 pencils. So, the student has 2 \* 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?
Mixtral 8x22B:
Reasoning: The total quantity of juice is 45 liters, and it is divided into 5 servings. Therefore, each serving is 45/5 = <<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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: Since each bear stands 8 feet tall and the total height of all bears standing together is 8 feet, there must be only 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?
Mixtral 8x22B:
Reasoning: If the number of pillows produced each day divided by 11 equals 6, then the total number of pillows produced each day is 6 \* 11 = <<6\*11=66>>66. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: A warehouse stores 70 crayons and they are distributed equally into multiple boxes. If each box contains 10 crayons, how many boxes are there in the warehouse?
Mixtral 8x22B:
Reasoning: The warehouse has 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?
Mixtral 8x22B:
Reasoning: The entire song lasts for 90 seconds and contains 10 verses. Therefore, each verse lasts for 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?
Mixtral 8x22B:
Reasoning: The total number of saplings is 16, and each seed tray contains 8 saplings. Therefore, the 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?
Mixtral 8x22B:
Reasoning: Since each craftsman made exactly the same amount of bracelets, and there is 1 bracelet per craftsman displayed in the showroom, the number of craftsmen's work displayed in the showroom is equal to the number of bracelets displayed. There are 10 bracelets displayed in the showroom, so 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?
Mixtral 8x22B:
Reasoning: The giraffe eats 12 kilograms of leaves in 2 hours. 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: If each play section has 7 monkeys playing on it, and there are 35 monkeys in total, then 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The total weight of all door panels is 45kg, and each door panel weighs 5kg. Therefore, the number of door panels is 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?
Mixtral 8x22B:
Reasoning: If the total weight of all the 9 clouds is 9, then 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?
Mixtral 8x22B:
Reasoning: If the speed is halved, it goes at 3 km/hr. Therefore, the original speed is 3 \* 2 = <<3\*2=6>>6 km/hr. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: James has a toy car collection. He noticed that when he counts his collection, he gets a total of 12 cars. If each type of car he has comes in pairs, how many types of toy cars does James have?
Mixtral 8x22B:
Reasoning: Since each type of car comes in pairs, and James has a total of 12 cars, we can divide the total number of cars by 2 to find out how many types of cars he has. 12/2 = <<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?
Mixtral 8x22B:
Reasoning: If each boat comes in pairs, then the total number of boats must be an even number. Since there are 8 boats sailing in total, 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?
Mixtral 8x22B:
Reasoning: The farmer needs to pack 6/2 = <<6/2=3>>3 baskets of 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?
Mixtral 8x22B:
Reasoning: Each car receives one ticket, so if there are 6 cars, 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?
Mixtral 8x22B:
Reasoning: The distance between the two points is 96 miles, and each sector covers 8 miles. So, the number of sectors between the two points is 96/8 = <<96/8=12>>12 sectors. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: A vineyard worker has been assigned to pick grapes from a certain number of plants. He picks 24 bunches of grapes after picking from 4 plants. How many bunches of grapes does he pick from each plant?
Mixtral 8x22B:
Reasoning: The vineyard 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?
Mixtral 8x22B:
Reasoning: The building has 120/10 = <<120/10=12>>12 windows. ### 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?
Mixtral 8x22B:
Reasoning: Since there are 55 beach balls and each color is present in groups of 5, we can find the number of different colors by dividing the total number of beach balls by the number of beach balls per color. 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?
Mixtral 8x22B:
Reasoning: The pirate has 90/9 = <<90/9=10>>10 doubloons. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: A student has a total of 18 erasers. If he puts them into 6 equally-sized boxes, how many erasers would each box contain?
Mixtral 8x22B:
Reasoning: The student has 18 erasers and wants to put them into 6 boxes. To find out how many erasers each box would contain, we divide the total number of erasers by the number of boxes: 18/6 = <<18/6=3>>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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: To find out how many gears are in the new model of the bicycle, we need to divide the total number of bicycles by the number of bicycles that each gear can sell. 63 bicycles / 7 bicycles per gear = <<63/7=9>>9 gears ### 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The compass maker sells 12 compasses each day. He has sold a total of 84 compasses. To find out how many days it took to sell this many compasses, we divide the total number of compasses sold by the number of compasses sold each day. 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?
Mixtral 8x22B:
Reasoning: There are 3 computers per row and 7 rows in total. So, 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?
Mixtral 8x22B:
Reasoning: The painter can paint 4 large walls with 4 cups of paint, since he uses 1 cup per large wall. ### 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?
Mixtral 8x22B:
Reasoning: If 6 trees produce 60 lemons, then each tree produces 60/6 = <<60/6=10>>10 lemons on average. ### Answer: 10 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <
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?
Mixtral 8x22B:
Reasoning: Since each book in the series corresponds to 1 complete story, and there are 9 books in the series, 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?
Mixtral 8x22B:
Reasoning: The factory can make 6/3 = <<6/3=2>>2 shirts with the fabric they have. ### 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?
Mixtral 8x22B:
Reasoning: The train has 24/8 = <<24/8=3>>3 cars. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A clothing factory produces pants and is currently working on 32 pairs. Each rack in the factory can hold 8 pairs of pants. How many racks are being used to hold all the pants?
Mixtral 8x22B:
Reasoning: The factory is currently working on 32 pairs of pants. Each rack can hold 8 pairs of pants. To find out how many racks are being used, we divide the total number of pants by the number of pants each rack can hold. 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?
Mixtral 8x22B:
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. ### 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?
Mixtral 8x22B:
Reasoning: Granny can knit 72/12 = <<72/12=6>>6 blankets with 72 balls of yarn. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A dairy farm produces milk packets. Each day, it produces 3 times the amount of milk packets it produced on the previous day. If on the third day, it produced 33 milk packets, how many milk packets did it produce on the second day?
Mixtral 8x22B:
Reasoning: Let's denote the number of milk packets produced on the second day as x. On the third day, the farm produced 3 times the amount of milk packets it produced on the second day, so it produced 3x milk packets. We know that on the third day, the farm produced 33 milk packets, so 3x = 33. To find the value of x, we divide both sides of the equation by 3: x = 33/3 = <<33/3=11>>11. ### 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?
Mixtral 8x22B:
Reasoning: Each time the helicopter is used, it gets 10 hours of maintenance. If the helicopter has had 70 hours of maintenance, it 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?
Mixtral 8x22B:
Reasoning: If each habitat has 2 elephants, then the number of habitats is equal to the number of elephants divided by 2. Number of habitats = 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?
Mixtral 8x22B:
Reasoning: The dolphin jumps 5 times in a single minute. If the dolphin jumps continuously for 'p' minutes, it can jump 5p times. According to the problem, 5p = 60. So, 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?
Mixtral 8x22B:
Reasoning: To find out how many groups of trees there are, we need to divide the total number of trees by the number of trees in each group. 63 trees / 7 trees per group = <<63/7=9>>9 groups of trees. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A hat shop has created 96 new hats to sell. If each style has exactly 12 of the same hat, how many styles does the hat shop have?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: Since each period of continuous rain lasted for 8 days, we can find the number of periods by dividing the total number of rainy days by the length of each period. Number of periods = Total rainy days / Length of each period Number of periods = 24 / 8 Number of periods = <<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?
Mixtral 8x22B:
Reasoning: The factory has manufactured 48/6 = <<48/6=8>>8 cycles of production today. ### 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?
Mixtral 8x22B:
Reasoning: The singer wants to divide 110 verses evenly among 10 songs. So, each song will have 110/10 = <<110/10=11>>11 verses. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a photography studio, there are 16 cameras that are shared by photographers. If each photographer gets 2 cameras, how many photographers are there in the studio?
Mixtral 8x22B:
Reasoning: If each photographer gets 2 cameras, then the number of photographers is equal to the number of cameras divided by 2. Number of photographers = 16/2 = <<16/2=8>>8 ### 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?
Mixtral 8x22B:
Reasoning: To find out how many areas are needed, we need to divide the total number of penguins by the number of penguins per area. 99/9 = <<99/9=11>>11 areas are needed to separate all the penguins evenly. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: A Piano teacher sets a task to practice specific pieces of music. Each piece takes 3 hours to practice thoroughly. If her student has 9 hours for practice, how many pieces can the student practice thoroughly?
Mixtral 8x22B:
Reasoning: The student has 9/3 = <<9/3=3>>3 hours to practice each piece thoroughly. The student can practice 3 pieces thoroughly in 9 hours. ### 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?
Mixtral 8x22B:
Reasoning: If the fabric used is divided by 6, that results in the number of pillows that can be made from it. Let's call the amount of fabric used to make 3 pillows "F". According to the problem, F/6 = 3. To find the amount of fabric used to make 3 pillows, we can solve for F: F = 3 \* 6 = <<3\*6=18>>18. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: A stationery store sells pens in packs. If each pack contains 9 pens, and there are exactly 9 packs, how many pens are in the store?
Mixtral 8x22B:
Reasoning: Each pack contains 9 pens, and there are 9 packs. So, 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?
Mixtral 8x22B:
Reasoning: One serving size is 1/8 of a pound. The tiger has 4 pounds of meat. So, the number of servings in the tiger's meal is 4 \* 8 = <<4\*8=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?
Mixtral 8x22B:
Reasoning: Since each balloon requires 1 meter of string, and there is a total of 5 meters of string available, the number of balloons that can be tied is 5/1 = <<5/1=5>>5 balloons. ### 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?
Mixtral 8x22B:
Reasoning: If each plane section accounts for 8 parts, then the number of sections the plane originally had before the crash is 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The hot chocolate booth sells each cup for 10 dollars. They earned a total of 70 dollars. To find out how many cups they sold, we divide the total earnings by the price per cup: 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?
Mixtral 8x22B:
Reasoning: The jeweler sold 5 rings for a total of 35 dollars, so each ring costs 35/5 = <<35/5=7>>7 dollars. ### Answer: 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?
Mixtral 8x22B:
Reasoning: To find out how many regions there would be, we need to divide the total number of lions by the number of lions per region. 60 lions / 10 lions per region = <<60/10=6>>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?
Mixtral 8x22B:
Reasoning: The discounted price is 1/5th of the original price, so d/5 = 6. To find the original price, we can solve for d: d = 6 \* 5 = <<6\*5=30>>30. ### 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?
Mixtral 8x22B:
Reasoning: The total amount of food consumed by the giraffes is 28 pounds. Each giraffe eats 7 pounds of food each day. So, the number of giraffes in the zoo is 28/7 = <<28/7=4>>4 giraffes. ### 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?
Mixtral 8x22B:
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?
Mixtral 8x22B:
Reasoning: The astronaut has 88 hours of oxygen in his tank and he can use it 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