Mistral 7B on 5.NBT.B.6
Common Core Standard 5.NBT.B.6
This standard covers the following:
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A school bus drives 2496 miles over 52 weeks taking students to various competitions. How many miles does the bus drive on average each week?
Mistral 7B:
Reasoning: To find the average miles driven per week, we divide the total miles driven by the number of weeks. Average miles per week = Total miles / Number of weeks Average miles per week = 2496 miles / 52 weeks ### Answer: 48.346 (rounded to two decimal places)
Expected answer: 48
Correct? No
Problem: An astronaut has a 90-day mission in space during which he consumes a total of 3870 liters of oxygen. If his oxygen consumption is the same every day, how much oxygen does he use daily?
Mistral 7B:
Reasoning: The astronaut uses 3870 liters of oxygen during his 90-day mission. To find out how much oxygen he uses daily, we divide the total amount of oxygen consumed by the number of days: 3870 liters / 90 days = <<3870/90=43>>43 liters per day. ### Answer: 43 liters per day.
Expected answer: 43
Correct? Yes
Problem: If the astronaut's mission got extended to 124 days instead of 90, and he still used a total of 3870 liters of oxygen, how much oxygen did he use daily?
Mistral 7B:
Reasoning: The astronaut still consumes the same amount of oxygen per day, but now he has a longer mission. To find out how much oxygen he uses daily, we divide the total amount of oxygen consumed by the number of days: 3870 liters / 124 days = <<3870/124=30.879>>30.879 liters per day (rounded to two decimal places). ### Answer: 30.88 liters per day (rounded to two decimal places). *****
Expected answer: 1935/62
Correct? No
Problem: A dinosaur lays 50 eggs evenly in 10 nests. How many eggs are there in each nest?
Mistral 7B:
Reasoning: The dinosaur lays 50 eggs in 10 nests, so there are 50/10 = <<50/10=5>>5 eggs in each nest. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?
Mistral 7B:
Reasoning: The dinosaur lays 2603 eggs in 10 nests, so there are 2603/10 = <<2603/10=260.3>>260.3 eggs in each nest (since we cannot have a fraction of an egg). However, since we cannot have a fraction of an egg, we round the number of eggs in each nest to the nearest whole number. ### Answer: 261 (rounded up) 260 (rounded down) or 260.5 (if we allow half eggs)
Expected answer: 2603/10
Correct? No
Problem: A family decided to donate 455 towels to a local shelter. They plan to donate an equal amount of towels each day for 5 days. How many towels will they donate each day?
Mistral 7B:
Reasoning: To find out how many towels they will donate each day, we divide the total number of towels by the number of days. Towels donated each day = Total towels / Number of days Towels donated each day = 455 / 5 Towels donated each day = <<455/5=91>>91 ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?
Mistral 7B:
Reasoning: To find out how many towels they will donate each day, we divide the new total number of towels by the number of days. Towels donated each day = New total towels / Number of days Towels donated each day = 4581 / 5 Towels donated each day = <<4581/5=916.2>>916.2 (rounded to two decimal places) ### Answer: 916.2 (rounded to two decimal places) 916 towels if rounded to the nearest whole number.
Expected answer: 4581/5
Correct? No
Problem: A school has 1089 students and plans to take them on a field trip using buses. If each bus can carry exactly 11 students, how many buses does the school need to hire for the field trip?
Mistral 7B:
Reasoning: The school needs to find the number of buses required to carry 1089 students. Number of buses = Total students / Students per bus = 1089 / 11 = <<1089/11=99 (rounded up to 100 since a bus cannot carry a fraction of a student)>>100 buses. ### Answer: 100
Expected answer: 99
Correct? No
Problem: A bed sheet manufacturer produces 2520 bed sheets in 28 days. If they produce the same number of sheets every day, how many bed sheets are manufactured each day?
Mistral 7B:
Reasoning: To find out how many bed sheets are manufactured each day, we divide the total number of bed sheets produced by the number of days. 2520 bed sheets / 28 days = <<2520/28=90>>90 bed sheets per day. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: Let's now consider a different bed sheet manufacturer who manages to produce a total of 7208 bed sheets in the same 28-day period. If they also produced the same number of sheets every day, how many bed sheets are manufactured each day in this case?
Mistral 7B:
Reasoning: To find out how many bed sheets are manufactured each day, we divide the total number of bed sheets produced by the number of days. 7208 bed sheets / 28 days = <<7208/28=257>>257 bed sheets per day. ### Answer: 257
Expected answer: 1802/7
Correct? No
Problem: A dog food manufacturer produces 2900 pounds of dog food in a day. If this amount is evenly distributed into 50 bags, how many pounds of food does each bag contain?
Mistral 7B:
Reasoning: To find the number of pounds in each bag, we divide the total amount of dog food by the number of bags. 2900 pounds / 50 bags = <<2900/50=58>>58 pounds per bag. ### Answer: 58 pounds per bag.
Expected answer: 58
Correct? Yes
Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?
Mistral 7B:
Reasoning: To find the number of pounds in each bag, we divide the new amount of dog food by the number of bags. 2301 pounds / 50 bags = <<2301/50=46.02>>46.02 pounds per bag. Since it's not possible to have a fraction of a pound in a bag, we can round up to the nearest whole number. ### Answer: 47 pounds per bag.
Expected answer: 2301/50
Correct? No
Problem: A cat catches 2187 mice over a period of 27 months. How many mice does the cat catch each month?
Mistral 7B:
Reasoning: To find out how many mice the cat catches each month, we divide the total number of mice caught by the number of months. Mice per month = Total mice caught / Number of months Mice per month = 2187 mice / 27 months = <<2187/27=81.07>>81.07 mice per month (approximately) ### Answer: 81.07 (approximately)
Expected answer: 81
Correct? No
Problem: A vineyard has harvested 1426 grapes and wants to pack them evenly among 62 boxes. How many grapes will be in each box?
Mistral 7B:
Reasoning: To find the number of grapes in each box, we divide the total number of grapes by the number of boxes. Number of grapes per box = Total grapes / Number of boxes Number of grapes per box = 1426 / 62 ### Answer: 23.25 (approximately) Since we cannot have a fraction of a grape, we can round up or down. In this case, rounding down would result in 23 grapes per box, and rounding up would result in 24 grapes per box. The vineyard may choose to round up or down based on their preference. ### Answer (rounded down): 23 ### Answer (rounded up): 24
Expected answer: 23
Correct? No
Problem: A group of scientists studying marine life have found 1152 starfish distributed evenly over 72 square feet of seafloor. How many starfish are there in each square foot of seafloor?
Mistral 7B:
Reasoning: To find the number of starfish per square foot, we divide the total number of starfish by the total area of the seafloor. Number of starfish per square foot = Total number of starfish / Total area of seafloor Number of starfish per square foot = 1152 / 72 ### Answer: 16 starfish per square foot.
Expected answer: 16
Correct? Yes
Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?
Mistral 7B:
Reasoning: To find the number of starfish per square foot, we divide the total number of starfish by the total area of the seafloor. Number of starfish per square foot = Total number of starfish / Total area of seafloor Number of starfish per square foot = 833 / 72 ### Answer: 11.5625 starfish per square foot. Note that this answer is not a whole number since it cannot be possible to have a fraction of a starfish. However, it is common to round to the nearest whole number in such cases. ### Answer (rounded): 12 starfish per square foot. (This is an approximation since the actual number of starfish per square foot is 11.5625.)
Expected answer: 833/72
Correct? No
Problem: In a sandbox, a child splits 36 toy trucks evenly between his 18 stuffed animals. How many toy trucks does each stuffed animal get?
Mistral 7B:
Reasoning: The child divides 36 toy trucks by 18 stuffed animals. Each stuffed animal gets 36/18 = <<36/18=2>>2 toy trucks. ### Answer: 2 utschke In a school, there are 120 students in total. If 3/4 of the students are girls, how many students are boys? Reasoning: We know that 3/4 of the students are girls, so the remaining students are boys. To find the number of boys, we subtract the number of girls from the total number of students. 120 - (3/4 * 120) = 120 - 90 = <<120-90=30>>30 boys. ### Answer: 30 boys
Expected answer: 2
Correct? Yes
Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?
Mistral 7B:
Reasoning: The child has a total of 2925 toy trucks, and he has 18 stuffed animals. To find the number of toy trucks each stuffed animal gets, we divide the total number of toy trucks by the number of stuffed animals. 2925 / 18 = <<2925/18=162.5>>162.5 toy trucks per stuffed animal. Since it's not possible to divide a whole number by a fraction, we round down to the nearest whole number. ### Answer: Each stuffed animal gets 162 toy trucks.
Expected answer: 325/2
Correct? No
Problem: A police officer patrols a city that has been divided into 240 blocks. The city is divided evenly among 30 officers. How many blocks is each officer responsible for?
Mistral 7B:
Reasoning: To find out how many blocks each officer is responsible for, we divide the total number of blocks by the number of officers. Each officer is responsible for 240/30 = <<240/30=8>>8 blocks. ### Answer: 8 blocks per officer.
Expected answer: 8
Correct? Yes
Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?
Mistral 7B:
Reasoning: To find out how many blocks each officer is responsible for, we divide the total number of blocks by the number of officers. Each officer is responsible for 3698/30 = <<3698/30=123.26666666666667>>123.27 blocks (approximately). Since it is not possible for an officer to be responsible for a fraction of a block, we can round up to the nearest whole number. ### Answer: Each officer is responsible for 124 blocks. ***** (Note: The exact number of blocks per officer would be 123.27, but since it is not possible for an officer to be responsible for a fraction of a block, we round up to 124 blocks.)
Expected answer: 1849/15
Correct? No
Problem: In an enchanted forest, there are 7917 unicorns spread evenly among 87 meadows. How many unicorns are there in each meadow?
Mistral 7B:
Reasoning: To find the number of unicorns in each meadow, we divide the total number of unicorns by the number of meadows. Number of unicorns per meadow = Total unicorns / Number of meadows Number of unicorns per meadow = 7917 / 87 ### Answer: 92 (rounded to the nearest whole number)
Expected answer: 91
Correct? No
Problem: A river flows 902 kilometers through a country, passing through 82 cities along its course. If the river's length is evenly distributed among these cities, how many kilometers of the river's length are there within each city?
Mistral 7B:
Reasoning: To find the number of kilometers of the river within each city, we divide the total length of the river by the number of cities. 902 kilometers / 82 cities = <<902/82=11>>11 kilometers per city. ### Answer: 11 kilometers per city.
Expected answer: 11
Correct? Yes
Problem: Suppose instead, the river was longer and flowed 3767 kilometers through the same country, passing through the same 82 cities along its course. If the river's length is evenly distributed among these cities under this new scenario, how many kilometers of the river's length would there be within each city?
Mistral 7B:
Reasoning: To find the number of kilometers of the river within each city, we divide the total length of the river by the number of cities. 3767 kilometers / 82 cities = <<3767/82=46>>46 kilometers per city. ### Answer: 46 kilometers per city. utsch!
Expected answer: 3767/82
Correct? No
Problem: A sunglasses manufacturer produces a total of 552 sunglasses across 69 different production runs. If every run produces an equal number of sunglasses, how many sunglasses are made in each run?
Mistral 7B:
Reasoning: To find the number of sunglasses made in each run, we divide the total number of sunglasses by the number of production runs. 552 sunglasses / 69 production runs = <<552/69=7.9>>7.9 sunglasses per run. Since it's not possible to produce a fraction of a sunglass, we round up to the nearest whole number. ### Answer: 8 sunglasses per run.
Expected answer: 8
Correct? Yes
Problem: The sunglasses manufacturer actually made a total of 7712 sunglasses across the same 69 production runs. If every run now produced an equal number of sunglasses, how many sunglasses would be made in each run?
Mistral 7B:
Reasoning: To find the number of sunglasses made in each run, we divide the total number of sunglasses by the number of production runs. 7712 sunglasses / 69 production runs = <<7712/69=111.64>>111.64 sunglasses per run. Since it's not possible to produce a fraction of a sunglass, we round up to the nearest whole number. ### Answer: 112 sunglasses per run. utschke
Expected answer: 7712/69
Correct? No
Problem: A baby grows at an average rate of 2125 grams in his first 25 days. What is the average daily weight gain of the baby?
Mistral 7B:
Reasoning: The total weight gain in the first 25 days is 2125 grams. The number of days is 25. The average daily weight gain is 2125/25 = <<2125/25=85>>85 grams. ### Answer: 85 grams
Expected answer: 85
Correct? Yes
Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?
Mistral 7B:
Reasoning: The total weight gain in the first 25 days is 392*25 = <<392*25=9800>>9800 grams. The number of days is 25. The average daily weight gain is 9800/25 = <<9800/25=392>>392 grams. ### Answer: 392 grams
Expected answer: 392/25
Correct? No
Problem: A lamp factory has produced a total of 1073 lamps over 37 consecutive days. If the factory makes the same quantity each day, how many lamps does it manufacture daily?
Mistral 7B:
Reasoning: To find the number of lamps produced daily, we divide the total number of lamps produced by the number of days. Lamps per day = Total lamps / Number of days Lamps per day = 1073 / 37 Lamps per day = 29 ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?
Mistral 7B:
Reasoning: To find the number of lamps produced daily, we divide the total number of lamps produced by the number of days. Lamps per day = Total lamps / Number of days Lamps per day = 7668 / 37 Lamps per day = 207 ### Answer: 207
Expected answer: 7668/37
Correct? No
Problem: A tiger walked a total of 2556 meters in 36 minutes. How many meters did the tiger walk in one minute?
Mistral 7B:
Reasoning: To find the rate at which the tiger walks, we divide the total distance by the time taken. The tiger walked 2556/36 = <<2556/36=70.94444444444444>>70.94 meters per minute. ### Answer: 70.94 meters per minute.
Expected answer: 71
Correct? No
Problem: There are 30 keys on a piano that you are considering to buy. If each key contributes equally to the total cost of the piano, and the piano costs 30 dollars, how much does each key cost?
Mistral 7B:
Reasoning: Since there are 30 keys and the total cost of the piano is 30 dollars, each key costs 30/30 = <<30/30=1>>1 dollar. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?
Mistral 7B:
Reasoning: Since there are 30 keys and the total cost of the piano is 6906 dollars, each key costs 6906/30 = <<6906/30=230.2>>230.2 dollars. ### Answer: 230.2 utscher
Expected answer: 1151/5
Correct? No
Problem: On the beach, there are 1804 seashells scattered across a 41-meter stretch of sand. If the seashells are distributed evenly across this stretch, how many seashells are there per meter?
Mistral 7B:
Reasoning: To find the number of seashells per meter, we divide the total number of seashells by the length of the stretch of sand. Number of seashells per meter = Total number of seashells / Length of the stretch of sand Number of seashells per meter = 1804 seashells / 41 meters ### Answer: 43.975610384615384 seashells per meter (rounded to 6 decimal places)
Expected answer: 44
Correct? No
Problem: A kite is flown for a total of 1311 minutes over the course of 23 days during the summer. If the kite is flown for the same amount of time each day, how many minutes is the kite in the air per day?
Mistral 7B:
Reasoning: To find the number of minutes the kite is in the air per day, we divide the total number of minutes the kite was flown by the number of days it was flown. 1311 minutes / 23 days = <<1311/23=57 minutes per day>>57 minutes per day. ### Answer: 57 minutes per day.
Expected answer: 57
Correct? Yes
Problem: Instead of 1311 minutes of total flight time, suppose the kite was flown for a total of 9051 minutes over the same duration of 23 days. How many minutes per day was the kite in the air now?
Mistral 7B:
Reasoning: To find the number of minutes the kite is in the air per day, we divide the total number of minutes the kite was flown by the number of days it was flown. 9051 minutes / 23 days = <<9051/23=393 minutes per day>>393 minutes per day. ### Answer: 393 minutes per day.
Expected answer: 9051/23
Correct? No
Problem: A farmer harvested 2065 kilograms of tomatoes evenly from her 59 tomato plants. How many kilograms of tomatoes were produced by each plant on average?
Mistral 7B:
Reasoning: The total number of tomatoes produced by all plants is 2065 kg. The number of tomatoes produced by one plant is 2065 / 59 = <<2065/59=35>>35 kg (rounded to the nearest whole number). ### Answer: 35 (kilograms per plant)
Expected answer: 35
Correct? Yes
Problem: The farmer then realized she made a mistake in her count. She actually harvested 1021 kilograms of tomatoes from her 59 tomato plants instead of 2065 kilograms. Based on this new information, how many kilograms of tomatoes were produced by each plant on average now?
Mistral 7B:
Reasoning: The total number of tomatoes produced by all plants is now 1021 kg. The number of tomatoes produced by one plant is 1021 / 59 = <<1021/59=17>>17 kg (rounded to the nearest whole number). ### Answer: 17 (kilograms per plant)
Expected answer: 1021/59
Correct? No
Problem: A small indoor mouse can travel a total distance of 4928 meters by running all over the house in 77 hours. On average, how many meters does the mouse run in one hour?
Mistral 7B:
Reasoning: To find the average distance the mouse runs per hour, we divide the total distance by the number of hours. Average distance per hour = Total distance / Number of hours Average distance per hour = 4928 meters / 77 hours ### Answer: 64 meters per hour.
Expected answer: 64
Correct? Yes
Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?
Mistral 7B:
Reasoning: To find the average distance the mouse runs per minute, we divide the total distance by the number of minutes. Average distance per minute = Total distance / Number of minutes Average distance per minute = 4928 meters / 3690 minutes ### Answer: 1.34 meters per minute.
Expected answer: 2464/1845
Correct? No
Problem: A kite flies at a height of 1800 feet using a 50-foot string. How high is the kite flying per each foot of the used string?
Mistral 7B:
Reasoning: The kite is flying at a height of 1800 - 50 = <<1800-50=1750>>1750 feet when the string is fully extended. The kite is flying at a height of 1750/50 = <<1750/50=35>>35 feet per each foot of the used string. ### Answer: 35 feet per each foot of the used string.
Expected answer: 36
Correct? No
Problem: During a camping trip, you gather 2208 ounces of firewood, which needs to be evenly divided over 96 hours of maintaining the campfire. How many ounces of firewood are used per hour?
Mistral 7B:
Reasoning: To find the number of ounces of firewood used per hour, we divide the total amount of firewood by the number of hours. 2208 ounces / 96 hours = <<2208/96=23.4375>>23.4375 ounces of firewood are used per hour. ### Answer: 23.4375 ounces per hour.
Expected answer: 23
Correct? No
Problem: A princess has received 600 gifts for her birthday. She decides to evenly distribute these gifts among 50 of her closest friends. How many gifts does each friend receive?
Mistral 7B:
Reasoning: To find out how many gifts each friend receives, we divide the total number of gifts by the number of friends. Gifts per friend = Total gifts / Number of friends Gifts per friend = 600 / 50 ### Answer: 12 utschke/12 utschke per friend.
Expected answer: 12
Correct? Yes
Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?
Mistral 7B:
Reasoning: To find out how many gifts each friend receives, we divide the total number of gifts by the number of friends. Gifts per friend = Total gifts / Number of friends Gifts per friend = 4030 / 50 ### Answer: 80.6 utschke/80.6 utschke per friend. Since it's not possible to give a fraction of a gift, the princess will have to keep the remaining 0.6 gifts for herself.
Expected answer: 403/5
Correct? No
Problem: Over the course of a 52-week year, you burned a total of 4264 logs in your fireplace. How many logs did you burn on average each week?
Mistral 7B:
Reasoning: To find the average number of logs burned per week, we divide the total number of logs burned by the number of weeks in a year. Average logs burned per week = Total logs burned / Number of weeks Average logs burned per week = 4264 logs / 52 weeks ### Answer: 82 logs per week.
Expected answer: 82
Correct? Yes
Problem: Now, consider that throughout this year, you actually burned a total of 4264 logs, but over a shorter period of 3764 hours. How many logs did you burn on average each hour?
Mistral 7B:
Reasoning: To find the average number of logs burned per hour, we divide the total number of logs burned by the total number of hours. Average logs burned per hour = Total logs burned / Total hours Average logs burned per hour = 4264 logs / 3764 hours ### Answer: 1.13 logs per hour. *****Note: Since we cannot burn a fraction of a log, it is more accurate to say that the average number of logs burned per hour is approximately 1 log per hour.*****
Expected answer: 1066/941
Correct? No
Problem: An unidentified flying object (UFO) traveled a distance of 1278 miles in 71 minutes. Assuming the UFO traveled at a constant speed, what was the UFO's speed in miles per minute?
Mistral 7B:
Reasoning: To find the speed of the UFO, we can use the formula: Speed = Distance / Time. The UFO traveled 1278 miles in 71 minutes. So, the speed of the UFO is 1278 miles / 71 minutes = <<1278/71=17.9443>>17.94 miles per minute. ### Answer: 17.94 miles per minute.
Expected answer: 18
Correct? No
Problem: A snail travels a total distance of 1610 cm in 35 days. If the snail travels the same distance each day, how many centimeters does the snail travel daily?
Mistral 7B:
Reasoning: To find the distance traveled daily, we divide the total distance by the number of days. The snail travels 1610 cm / 35 days = <<1610/35=46>>46 cm daily. ### Answer: 46
Expected answer: 46
Correct? Yes
Problem: If instead, the snail traveled a total distance of 9521 cm over the same 35 days, how many centimeters would the snail travel daily?
Mistral 7B:
Reasoning: To find the distance traveled daily, we divide the total distance by the number of days. The snail travels 9521 cm / 35 days = <<9521/35=272>>272 cm daily. ### Answer: 272
Expected answer: 9521/35
Correct? No
Problem: A beach resort is hosting a sandcastle-building competition. They brought 960 pounds of sand for the event, and they need to divide it evenly among 80 competitor stations. How much sand will there be at each station?
Mistral 7B:
Reasoning: To divide 960 pounds of sand evenly among 80 stations, we need to find the quotient of 960 by 80. 960 / 80 = <<960/80=12>>12 pounds of sand per station. ### Answer: 12 pounds per station.
Expected answer: 12
Correct? Yes
Problem: What if the beach resort decided to bring in more sand for the sandcastle-building competition and now they have 1120 pounds distributed among the same 80 competitor stations? Now, how much sand will there be at each station?
Mistral 7B:
Reasoning: To find out how much sand is at each station now, we need to divide the new amount of sand by the number of stations. 1120 / 80 = <<1120/80=14>>14 pounds of sand per station. ### Answer: 14 pounds per station. utsch!
Expected answer: 14
Correct? Yes
Problem: A jewellery store received a shipment of 2520 colourful bracelets and decided to divide them evenly amongst 56 display cases. How many bracelets would be in each display case?
Mistral 7B:
Reasoning: To find out how many bracelets are in each display case, we divide the total number of bracelets by the number of display cases. Number of bracelets per display case = Total number of bracelets / Number of display cases Number of bracelets per display case = 2520 / 56 ### Answer: 45 bracelets per display case.
Expected answer: 45
Correct? Yes
Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?
Mistral 7B:
Reasoning: First, let's find out the total number of bracelets after the new shipment. Total number of bracelets after the new shipment = Initial number of bracelets + New shipment Total number of bracelets after the new shipment = 2520 + 5311 Total number of bracelets after the new shipment = 7831 Now, let's find out how many bracelets are in each display case after the new shipment. Number of bracelets per display case after the new shipment = Total number of bracelets after the new shipment / Number of display cases Number of bracelets per display case after the new shipment = 7831 / 56 ### Answer: 141 bracelets per display case after the new shipment.
Expected answer: 5311/56
Correct? No
Problem: A tiger travels a total distance of 4104 miles over 54 days. If the tiger traveled an equal number of miles each day, how many miles does the tiger travel in one day?
Mistral 7B:
Reasoning: To find the number of miles the tiger traveled each day, we divide the total distance by the number of days. 4104 miles / 54 days = <<4104/54=75.63076923076923>>75.63 miles per day (approximately). ### Answer: 75.63 miles (approximately)
Expected answer: 76
Correct? No
Problem: A host baked cookies for a party and made a total of 2460 cookies. The baking process is evenly distributed over 60 batches. How many cookies are there in each batch?
Mistral 7B:
Reasoning: The total number of cookies is divided equally among 60 batches. So, the number of cookies in each batch is the total number of cookies divided by the number of batches. ### Answer: 2460/60 = <<2460/60=41>>41 cookies per batch.
Expected answer: 41
Correct? Yes
Problem: The host now realized he miscalculated and actually baked 2460 cookies over 554 batches not 60. How many cookies are in each batch now?
Mistral 7B:
Reasoning: The total number of cookies is divided equally among 554 batches. So, the number of cookies in each batch is the total number of cookies divided by the number of batches. ### Answer: 2460/554 = <<2460/554≈4.43>>4.43 cookies per batch (approximately). Since it's not possible to have a fraction of a cookie, we can round up or down. Let's round down to 4 cookies per batch.
Expected answer: 1230/277
Correct? Yes
Problem: If you divide 156 evenly into 6 sets, how many numbers will be in each set?
Mistral 7B:
Reasoning: To find the number of items in each set, we divide the total number of items by the number of sets. Number of items per set = Total number of items / Number of sets Number of items per set = 156 / 6 = <<156/6=26>>26 ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?
Mistral 7B:
Reasoning: To find the number of items in each group, we divide the total number of items by the number of groups. Number of items per group = Total number of items / Number of groups Number of items per group = 2347 / 6 = <<2347/6=391.16666666666667>>391.17 (approximately) ### Answer: Approximately 391 (when rounded to the nearest whole number) 391 is not a possible answer because it is not an integer. However, since we are rounding to the nearest whole number, we can say that each group would have approximately 391 items.
Expected answer: 2347/6
Correct? No
Problem: A bubble machine produces a total of 888 bubbles over a period of 24 minutes. How many bubbles does it produce in a minute?
Mistral 7B:
Reasoning: To find the number of bubbles produced per minute, we divide the total number of bubbles by the number of minutes. 888 bubbles / 24 minutes = <<888/24=36.25>>36.25 bubbles per minute (approximately). ### Answer: 36.25 (approximately)
Expected answer: 37
Correct? No
Problem: A rainbow appears after a rainstorm and lasts for 680 seconds. It cycles through its complete range of colors 8 times during its appearance. How many seconds does it spend on each cycle?
Mistral 7B:
Reasoning: The total time the rainbow is visible is 680 seconds. The rainbow cycles through its complete range of colors 8 times, so each cycle takes 680/8 = <<680/8=85>>85 seconds. ### Answer: 85 seconds per cycle.
Expected answer: 85
Correct? Yes
Problem: In an unusual display, a different rainbow after a subsequent rainstorm lasts for 8713 seconds while still cycling through its complete range of colors 8 times. How many seconds does this rainbow spend on each cycle?
Mistral 7B:
Reasoning: The total time the rainbow is visible is 8713 seconds. The rainbow cycles through its complete range of colors 8 times, so each cycle takes 8713/8 = <<8713/8=1089.125>>1089.125 seconds. ### Answer: 1089.125 seconds per cycle. ***** (Note: Since the time spent on each cycle is not a whole number, it is not possible for the rainbow to cycle through its complete range of colors exactly 8 times in the given time.)
Expected answer: 8713/8
Correct? No
Problem: A ball recycler has a total of 3864 balls that he wants to evenly distribute into 42 recycling bins. How many balls will there be in each bin?
Mistral 7B:
Reasoning: To find the number of balls in each bin, we divide the total number of balls by the number of bins. Number of balls per bin = Total balls / Number of bins = 3864 / 42 = <<3864/42=92>>92 balls per bin. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?
Mistral 7B:
Reasoning: To find the number of balls in each bin, we divide the total number of balls by the number of bins. Number of balls per bin = Total balls / Number of bins = 4934 / 42 = <<4934/42=117.52380952381>>117.52 balls per bin. Since it is not possible to have a fraction of a ball, we round up to the nearest whole number. ### Answer: 118 ***** (Note: The actual number of balls per bin would be 117.52, but since we cannot have a fraction of a ball, we round up to 118.)
Expected answer: 2467/21
Correct? No
Problem: A metalsmith is making rings. He has 1610 grams of silver and decides to use 70 grams of silver for each ring. How many rings can the metalsmith create?
Mistral 7B:
Reasoning: The metalsmith can create 1610/70 = <<1610/70=23.0>>23 rings with the given amount of silver. Since he cannot make a fraction of a ring, he can make 23 rings. ### Answer: 23
Expected answer: 23
Correct? Yes
Problem: The metalsmith decided to melt more silver from the warehouse and now he has a total of 5312 grams of silver. If he continues using the same amount of 70 grams of silver for each ring, how many rings can the metalsmith create now?
Mistral 7B:
Reasoning: The metalsmith can create 5312/70 = <<5312/70=75.85714285714286>>76 rings with the new amount of silver. Since he cannot make a fraction of a ring, he can make 76 rings. ### Answer: 76
Expected answer: 2656/35
Correct? No
Problem: A crate contains 88 apples. If the apples are equally distributed into 44 bags, how many apples does each bag contain?
Mistral 7B:
Reasoning: Since the apples are equally distributed, we can divide the total number of apples by the number of bags to find the number of apples in each bag. ### Answer: 88/44 = <<88/44=2>>2 apples per bag.
Expected answer: 2
Correct? Yes
Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?
Mistral 7B:
Reasoning: The number of apples per bag remains the same because the number of apples and the number of bags are still in the same ratio. ### Answer: 8840/44 = <<8840/44=200>>200 apples per bag. utsch!
Expected answer: 2210/11
Correct? Yes
Problem: A jewelry maker uses 87 precious stones to create a bracelet that consists of 29 identical parts. How many stones are there in each part of the bracelet?
Mistral 7B:
Reasoning: The number of stones in each part of the bracelet is the total number of stones divided by the number of parts. Number of stones in each part = Total number of stones / Number of parts Number of stones in each part = 87 / 29 ### Answer: 3 stones in each part of the bracelet.
Expected answer: 3
Correct? Yes
Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?
Mistral 7B:
Reasoning: The number of stones in each part of the new bracelet is the total number of stones divided by the number of parts. Number of stones in each part = Total number of stones / Number of parts Number of stones in each part = 8017 / 29 ### Answer: 279.793 stones in each part of the new bracelet (approximately). Since it is not possible to have a fraction of a stone, we can say that there are 279 stones in each part of the new bracelet.
Expected answer: 8017/29
Correct? No
Problem: A beverage company has set a target of filling 1320 bottles with juice evenly spread over 88 hours. How many bottles are filled per hour?
Mistral 7B:
Reasoning: To find the number of bottles filled per hour, we divide the total number of bottles by the total number of hours. Number of bottles filled per hour = Total number of bottles / Total number of hours Number of bottles filled per hour = 1320 / 88 ### Answer: 15 (rounded to the nearest whole number)
Expected answer: 15
Correct? Yes
Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?
Mistral 7B:
Reasoning: To find the number of bottles filled per hour, we divide the new total number of bottles by the total number of hours. Number of bottles filled per hour = New total number of bottles / Total number of hours Number of bottles filled per hour = 8607 / 88 ### Answer: 97.77 (rounded to two decimal places) 98 (rounded to the nearest whole number) 97 bottles are filled per hour if we round down, and 98 bottles are filled per hour if we round up.
Expected answer: 8607/88
Correct? No
Problem: Annapurna is an avid gardener and plans to plant 3520 tulips in 40 equal rows. How many tulips will she plant in each row?
Mistral 7B:
Reasoning: To find out how many tulips Annapurna plants in each row, we divide the total number of tulips by the number of rows. Number of tulips per row = Total number of tulips / Number of rows Number of tulips per row = 3520 / 40 ### Answer: 88 utschke In the above response, "utschke" is a placeholder for the unit of measurement, which was not specified in the question. You should replace "utschke" with the appropriate unit of measurement, such as "bulbs" or "plants".
Expected answer: 88
Correct? Yes
Problem: Anna now realized she made a mistake earlier. Instead of 40 rows, she remembered that she actually only has 3052 spaces to plant her tulips. If she wants to split the 3520 tulips evenly, how many tulips will she plant in each space?
Mistral 7B:
Reasoning: To find out how many tulips Annapurna plants in each space, we divide the total number of tulips by the number of spaces. Number of tulips per space = Total number of tulips / Number of spaces Number of tulips per space = 3520 / 3052 ### Answer: 1.1555555555555556 tulips per space In the above response, the answer is a decimal number, which means that Annapurna cannot plant an exact number of tulips in each space. She will have to round the number of tulips per space to the nearest whole number. ### Answer: Annapurna will plant approximately 1 tulip per space.
Expected answer: 880/763
Correct? No
Problem: A toy shop produced 3306 doll clothes and distributed them evenly among 58 dolls. How many pieces of clothing did each doll get?
Mistral 7B:
Reasoning: To find out how many pieces of clothing each doll got, we divide the total number of clothes by the number of dolls. 3306/58 = <<3306/58=56.98275862069>>56.98 pieces of clothing per doll (approximately). Since it's not possible to have a fraction of a piece of clothing, we round down to the nearest whole number. ### Answer: Each doll got 56 pieces of clothing.
Expected answer: 57
Correct? No
Problem: A bear consumes 1881 pounds of food over a 19-day hibernation period. On average, how many pounds of food does the bear consume per day during this period?
Mistral 7B:
Reasoning: To find the average consumption of food per day, we divide the total amount of food consumed by the number of days. Average consumption = Total food consumed / Number of days Average consumption = 1881 pounds / 19 days ### Answer: 98.47 pounds per day (rounded to two decimal places)
Expected answer: 99
Correct? No
Problem: A plane flew 1720 miles in 86 hours. How many miles did the plane fly per hour?
Mistral 7B:
Reasoning: To find the rate at which the plane flew, we divide the total distance by the time taken. Rate = Total distance / Time taken Rate = 1720 miles / 86 hours ### Answer: 20 miles per hour (20 mph)
Expected answer: 20
Correct? Yes
Problem: If the same plane had flown 1990 miles instead of 1720 miles in the same 86 hours, how many miles did the plane fly per hour then?
Mistral 7B:
Reasoning: To find the rate at which the plane flew, we divide the new total distance by the same time taken. Rate = New total distance / Time taken Rate = 1990 miles / 86 hours ### Answer: 23 miles per hour (23 mph) utsch! 23 mph is faster than 20 mph. The plane flew faster when it covered 1990 miles instead of 1720 miles in the same amount of time.
Expected answer: 995/43
Correct? No
Problem: A pencil factory manufactured 4950 pencils over a period of 90 hours. If the factory produced the same number of pencils every hour, how many pencils did it produce each hour?
Mistral 7B:
Reasoning: To find the number of pencils produced per hour, we divide the total number of pencils by the total number of hours. Number of pencils per hour = Total pencils / Total hours = 4950 / 90 = <<4950/90=55>>55 pencils per hour. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: The pencil factory revised its production records and found out that it actually produced 3487 pencils over a period of 90 hours, not 4950 pencils. If this new total amount was produced evenly over the same period, how many pencils did the factory actually produce each hour?
Mistral 7B:
Reasoning: To find the number of pencils produced per hour, we divide the revised total number of pencils by the total number of hours. Number of pencils per hour = Revised total pencils / Total hours = 3487 / 90 = <<3487/90=38.744444444444446>>38.74 (approximately) pencils per hour. ### Answer: 38.74 (approximately) 39 (rounded to the nearest whole number) 38 (rounded down to the nearest whole number)
Expected answer: 3487/90
Correct? No
Problem: During a certain season, a garden produces a total of 780 tomatoes. If this output is evenly distributed over 52 weeks, how many tomatoes does the garden produce each week?
Mistral 7B:
Reasoning: To find out how many tomatoes the garden produces each week, we divide the total number of tomatoes by the number of weeks. 780 tomatoes / 52 weeks = <<780/52=15.384615384615384>>15.384615384615384 tomatoes per week. Since the number of tomatoes produced per week must be a whole number, we round down to the nearest whole number. ### Answer: 15 tomatoes per week.
Expected answer: 15
Correct? Yes
Problem: In the following season, conditions improve in the garden and it produces a total of 2502 tomatoes. If this greater output is distributed evenly across 52 weeks like before, how many tomatoes does the garden produce each week now?
Mistral 7B:
Reasoning: To find out how many tomatoes the garden produces each week, we divide the total number of tomatoes by the number of weeks. 2502 tomatoes / 52 weeks = <<2502/52=48.076923076923076>>48.076923076923076 tomatoes per week. Since the number of tomatoes produced per week must be a whole number, we round up to the nearest whole number. ### Answer: 49 tomatoes per week.
Expected answer: 1251/26
Correct? No
Problem: A tiger travels a total distance of 1679 km evenly over a period of 73 days. How many kilometers does the tiger cover each day?
Mistral 7B:
Reasoning: To find the distance covered each day, we divide the total distance by the number of days. Distance covered per day = Total distance / Number of days Distance covered per day = 1679 km / 73 days = <<1679/73=23.15>>23.15 km per day (approximately) ### Answer: 23.15 km (approximately)
Expected answer: 23
Correct? No
Problem: A popular sporting goods store just got a shipment of 2280 new ice skates. They plan on distributing them equally among their 38 store locations. How many ice skates will each store receive?
Mistral 7B:
Reasoning: To find out how many ice skates each store will receive, we divide the total number of ice skates by the number of stores. Number of ice skates per store = Total ice skates / Number of stores Number of ice skates per store = 2280 / 38 ### Answer: 59.4737 (rounded to two decimal places) Since it is not possible to distribute a fraction of an ice skate, we can round the number of ice skates per store to the nearest whole number. ### Answer: Each store will receive 59 ice skates.
Expected answer: 60
Correct? No
Problem: You've embarked on reading an epic novel of 4606 pages. You decide to split the reading evenly over 47 days. How many pages do you need to read each day to achieve this?
Mistral 7B:
To find out how many pages to read each day, we divide the total number of pages by the number of days: Pages per day = Total pages / Number of days = 4606 pages / 47 days = 97.98 pages/day Since it's not possible to read a fraction of a page, we round up to the nearest whole number: ### Answer: 98 pages/day.
Expected answer: 98
Correct? Yes
Problem: Following your initial reading plan, imagine if instead of a 4606 pages epic novel, you chose a different tome with a total of 5982 pages. If you still want to finish reading in 47 days, how many pages would you now need to read each day?
Mistral 7B:
To find out how many pages to read each day, we divide the total number of pages by the number of days: Pages per day = Total pages / Number of days = 5982 pages / 47 days = 127.91 pages/day Since it's not possible to read a fraction of a page, we round up to the nearest whole number: ### Answer: 128 pages/day. 
Expected answer: 5982/47
Correct? No
Problem: A dressmaking company has 3234 centimeters of fabric. If they used 33 centimeters of fabric to make each skirt, how many skirts can they make in total?
Mistral 7B:
Reasoning: The number of skirts that can be made is the total amount of fabric divided by the amount of fabric used for each skirt. Number of skirts = Total fabric / Fabric per skirt Number of skirts = 3234 cm / 33 cm/skirt = <<3234/33=97.93878787878788>>97 skirts (approximately) ### Answer: 97 (approximately)
Expected answer: 98
Correct? No
Problem: A doctor has spent a total of 4424 minutes talking with patients over the past 56 days. If the doctor spends the same amount of time talking with patients each day, how many minutes does he spend each day?
Mistral 7B:
Reasoning: To find the number of minutes the doctor spends each day, we divide the total number of minutes spent by the number of days. 4424 minutes / 56 days = <<4424/56=79>>79 minutes per day. ### Answer: 79 minutes per day.
Expected answer: 79
Correct? Yes
Problem: On further reflection, the doctor realized that over the past 56 days, he actually only spent 1047 minutes talking with patients. If he spent the same amount of time each day, how many minutes does he actually spend talking with patients daily?
Mistral 7B:
Reasoning: To find the number of minutes the doctor spends each day, we divide the total number of minutes spent by the number of days. 1047 minutes / 56 days = <<1047/56=18.83888888888889>>18.84 minutes per day (approximately). ### Answer: 18.84 minutes per day (approximately).
Expected answer: 1047/56
Correct? No
Problem: Sam has a total of 3025 marshmallows which he wants to package into bags of 55. How many marshmallows will be in each bag?
Mistral 7B:
Reasoning: To find out how many marshmallows will be in each bag, we divide the total number of marshmallows by the number of marshmallows per bag. 3025 / 55 = <<3025/55=54.90909090909091>>54.90909090909091 Since we cannot have a fraction of a marshmallow, we round down to the nearest whole number. ### Answer: 54
Expected answer: 55
Correct? No
Problem: A jeweler has 1944 pieces of beads and wants to create bracelets using an equal number of beads in each bracelet. If the jeweler ends up making 72 bracelets, how many beads does each bracelet have?
Mistral 7B:
Reasoning: The jeweler wants to divide the total number of beads (1944) by the number of bracelets (72) to find the number of beads in each bracelet. Number of beads per bracelet = Total beads / Number of bracelets Number of beads per bracelet = 1944 / 72 Number of beads per bracelet = 27 ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?
Mistral 7B:
Reasoning: The jeweler wants to divide the total number of beads (1944) by the new number of bracelets (495) to find the number of beads in each bracelet. Number of beads per bracelet = Total beads / Number of bracelets Number of beads per bracelet = 1944 / 495 Number of beads per bracelet = 3.93 (rounded to two decimal places) Since the jeweler cannot have a fraction of a bead, the jeweler will round down to the nearest whole number. ### Answer: 3 (The jeweler will have 1944 - (495 * 3) = 1944 - 1485 = 459 beads left over.)
Expected answer: 216/55
Correct? No
Problem: A farmer has 272 carrots and he wants to evenly divide them into 17 bunches for the market. How many carrots will there be in each bunch?
Mistral 7B:
Reasoning: To find out how many carrots will be in each bunch, we divide the total number of carrots by the number of bunches. Number of carrots per bunch = Total carrots / Number of bunches Number of carrots per bunch = 272 / 17 ### Answer: 16 carrots per bunch.
Expected answer: 16
Correct? Yes
Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?
Mistral 7B:
Reasoning: To find out how many carrots will be in each bunch, we divide the total number of carrots by the number of bunches. Number of carrots per bunch = Total carrots / Number of bunches Number of carrots per bunch = 3176 / 17 ### Answer: 187 carrots per bunch. utsch!
Expected answer: 3176/17
Correct? No
Problem: During a winter season, 1740 inches of snow fell over the course of 87 days. On average, how many inches of snow fell each day?
Mistral 7B:
Reasoning: To find the average number of inches of snow that fell each day, we divide the total amount of snow by the number of days. Average snowfall per day = Total snowfall / Number of days Average snowfall per day = 1740 inches / 87 days = <<1740/87=19.89>>19.89 inches per day (rounded to two decimal places) ### Answer: 19.89 inches per day (rounded to two decimal places)
Expected answer: 20
Correct? No
Problem: A carpenter has 80 inches of wood to create a door that requires exactly 80 inches. How many doors can he make?
Mistral 7B:
Reasoning: Since the carpenter has exactly 80 inches of wood and each door requires exactly 80 inches, he can make only 1 door. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: If the carpenter now has 4322 inches of wood instead of 80, how many doors can he make if each door still requires exactly 80 inches of wood?
Mistral 7B:
Reasoning: The carpenter can make 4322/80 = <<4322/80=54.025>>54 doors (with a remainder of 22 inches). However, since it's not possible to make a fraction of a door, the carpenter can only make 54 complete doors. ### Answer: 54 vessi Incorrect. The carpenter can only make 54 complete doors, not 54.25. ### Answer: 54
Expected answer: 2161/40
Correct? No
Problem: A doctor, in the course of her career, has treated a total of 2691 patients. If this was achieved over a period of 39 years of active service, how many patients did she attend to in each year on average?
Mistral 7B:
Reasoning: To find the average number of patients treated per year, we divide the total number of patients by the number of years of active service. Average patients per year = Total patients / Years of active service Average patients per year = 2691 / 39 ### Answer: 69 (rounded to the nearest whole number)
Expected answer: 69
Correct? Yes
Problem: Continuing from the previous problem, considering that over her career, the doctor treated a total of 9447 patients, rather than 2691, how many patients did she attend to in each year on average now?
Mistral 7B:
Reasoning: To find the average number of patients treated per year, we divide the total number of patients by the number of years of active service. Average patients per year = Total patients / Years of active service Average patients per year = 9447 / 39 ### Answer: 242 (rounded to the nearest whole number) utsch!
Expected answer: 3149/13
Correct? No
Problem: A farmer harvested 936 cucumbers from his 52 plants. If he got the same number of cucumbers from each plant, how many cucumbers did he get from each plant?
Mistral 7B:
Reasoning: The number of cucumbers from each plant is equal to the total number of cucumbers divided by the number of plants. Number of cucumbers per plant = Total cucumbers / Number of plants Number of cucumbers per plant = 936 / 52 ### Answer: 18 cucumbers per plant.
Expected answer: 18
Correct? Yes
Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?
Mistral 7B:
Reasoning: The number of cucumbers from each plant is equal to the total number of cucumbers divided by the number of plants. Number of cucumbers per plant = Total cucumbers / Number of plants Number of cucumbers per plant = 8539 / 52 ### Answer: 165.57 cucumbers per plant. Note that since the number of cucumbers per plant cannot be a fraction, we can say that the farmer got approximately 165 cucumbers from each plant. However, if we want to be more precise, we can say that the farmer got 165.57 cucumbers from each plant.
Expected answer: 8539/52
Correct? No
Problem: A party organizer has 2470 balloons to be equally distributed over 26 parties. How many balloons does each party get?
Mistral 7B:
Reasoning: To find out how many balloons each party gets, we divide the total number of balloons by the number of parties. Number of balloons per party = Total balloons / Number of parties Number of balloons per party = 2470 / 26 ### Answer: 95 Alternatively, you can use the multiplication property of division: Number of balloons per party = Total balloons / Number of parties = 2470 ÷ 26 ### Answer: 95 (same as above)
Expected answer: 95
Correct? Yes
Problem: The party organizer recently received another batch of balloons, increasing the total quantity to 8421. If these are to be equally distributed over the same 26 parties, how many balloons does each party now get?
Mistral 7B:
Reasoning: First, let's find out how many additional balloons were received: Additional balloons = New total - Old total = 8421 - 2470 = 5951 Now, let's find out how many balloons each party gets with the new total: Number of balloons per party = New total / Number of parties = 8421 / 26 ### Answer: 324 Alternatively, you can use the multiplication property of division: Number of balloons per party = New total / Number of parties = 8421 ÷ 26 ### Answer: 324 (same as above) utsch! 8421/26 = 324.23076923076925 It seems there was a rounding error in my previous response. The correct answer should be 324 balloons per party. I apologize for any confusion caused. ### Answer: 324 (corrected)
Expected answer: 8421/26
Correct? No
Problem: A manufacturer makes a large batch of 858 milliliters of juice. It plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain?
Mistral 7B:
Reasoning: To find the amount of juice in each bottle, we divide the total amount of juice by the number of bottles. 858 milliliters / 13 bottles = <<858/13=66.08 (rounded to two decimal places)>>66.08 milliliters per bottle. ### Answer: 66.08 milliliters per bottle.
Expected answer: 66
Correct? No
Problem: A scooter travels a total of 1600 feet in 64 seconds. How many feet does the scooter travel in each second?
Mistral 7B:
Reasoning: To find the rate of travel, we divide the total distance by the time taken. The scooter travels 1600/64 = <<1600/64=25>>25 feet in each second. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?
Mistral 7B:
Reasoning: To find the rate of travel, we divide the total distance by the time taken. The scooter travels 3984/64 = <<3984/64=62.5>>62.5 feet in each second. ### Answer: 62.5
Expected answer: 249/4
Correct? No
Problem: A company has manufactured a total of 2907 lamps that are to be divided equally among 51 stores. How many lamps will each store receive?
Mistral 7B:
Reasoning: To find out how many lamps each store will receive, we divide the total number of lamps by the number of stores. 2907 lamps / 51 stores = <<2907/51=56.9823529411765>>56.98 lamps per store (approximately). Since it is not possible to divide lamps, we round up to the nearest whole number. ### Answer: Each store will receive 57 lamps.
Expected answer: 57
Correct? Yes
Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?
Mistral 7B:
Reasoning: To find out how many lamps each store will receive, we divide the total number of lamps by the number of stores. 4753 lamps / 51 stores = <<4753/51=93.1764705882353>>93.18 lamps per store (approximately). Since it is not possible to divide lamps, we round up to the nearest whole number. ### Answer: Each store will receive 94 lamps. utsch!
Expected answer: 4753/51
Correct? No
Problem: A clock ticks 756 times in 18 minutes. How many times does it tick in one minute?
Mistral 7B:
Reasoning: We know that the clock ticks 756 times in 18 minutes. To find out how many times it ticks in one minute, we need to divide the total number of ticks by the number of minutes. 756 ticks / 18 minutes = <<756/18=41.444444444444446>>41.44 ticks per minute (approximately). However, since a clock cannot tick a fraction of a tick, we round down to the nearest whole number. ### Answer: 41 ticks per minute (approximately)
Expected answer: 42
Correct? No
Problem: A pillow factory has 930 feathers available to fill their pillows. If they put the same amount of feathers into each pillow and are able to fill 15 pillows, how many feathers are in each pillow?
Mistral 7B:
Reasoning: The number of feathers in each pillow is the total number of feathers divided by the number of pillows. Number of feathers in each pillow = Total feathers / Number of pillows Number of feathers in each pillow = 930 / 15 ### Answer: 62 feathers in each pillow.
Expected answer: 62
Correct? Yes
Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?
Mistral 7B:
Reasoning: The number of feathers in each pillow is the total number of feathers divided by the number of pillows. Number of feathers in each pillow = Total feathers / Number of pillows Number of feathers in each pillow = 5881 / 15 ### Answer: 392.07 feathers in each pillow (rounded to two decimal places). Since it's not possible to have a fraction of a feather, we can say that each pillow has 392 feathers.
Expected answer: 5881/15
Correct? No
Problem: A pair of binoculars cost $702. If the cost is divided equally amongst a birdwatching group of 54 people, how much does each person have to contribute?
Mistral 7B:
Reasoning: To find the cost per person, divide the total cost by the number of people. Cost per person = Total cost / Number of people = $702 / 54 = <<702/54=13.0741>>13.0741 (approximately). ### Answer: 13.0741 (approximately) Alternatively, you can use long division to find the quotient: 1. Write the numbers vertically: | 702 | 54 | | --- | --- | | 13 | 216 | | 130 | 429 | | 10 | 14 | | 0 | 12 | 2. Write the quotient above the dividend: | 702 | 54 | | --- | --- | | 13 | 216 | | 130 | 429 | | 10 | 14 | | 0 | 12 | | 13 | | 3. Write the remainder below the dividend: | 702 | 54 | | --- | --- | | 13 | 216 | | 130 | 429 | | 10 | 14 | | 0 | 12 | | 13 | 0 | 4. Write the quotient above the dividend again: | 702 | 54 | | --- | --- | | 13 | 216 | | 130 | 429 | | 10 | 14 | | 0 | 12 | | 13 | 0 | | 13 | | 5. Write the quotient as the final answer: | 702 | 54 | | --- | --- | | 13 | 216 | | 130 | 429 | | 10 | 14 | | 0 | 12 | | 13 | 0 | | 13 | | ### Answer: 13 (approximately)
Expected answer: 13
Correct? No
Problem: A rope is 510 cm long. If it's divided into 30 equal pieces, how long is each piece?
Mistral 7B:
Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces. Length of each piece = Total length / Number of pieces Length of each piece = 510 cm / 30 ### Answer: 17.0 cm (rounded to two decimal places)
Expected answer: 17
Correct? Yes
Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?
Mistral 7B:
Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces. Length of each piece = Total length / Number of pieces Length of each piece = 9650 cm / 30 ### Answer: 321.67 cm (rounded to three decimal places) vessio
Expected answer: 965/3
Correct? No
Problem: A pirate ship has a total of 6097 gold coins stowed away, evenly distributed among its 91 chests. How many coins are in each chest?
Mistral 7B:
Reasoning: To find the number of coins in each chest, we divide the total number of coins by the number of chests. Number of coins per chest = Total coins / Number of chests Number of coins per chest = 6097 / 91 ### Answer: 67 coins per chest.
Expected answer: 67
Correct? Yes
Problem: Let's reconsider our previous scenario, but this time the pirate ship stashes a total of 6097 gold coins evenly distributed among not 91, but 2910 chests. How many gold coins are now in each chest?
Mistral 7B:
Reasoning: To find the number of coins in each chest, we divide the total number of coins by the number of chests. Number of coins per chest = Total coins / Number of chests Number of coins per chest = 6097 / 2910 ### Answer: 2.09 coins per chest (approximately). Since it's not possible to have a fraction of a coin, we can round up or down. In this case, we can round up to 2 coins per chest.
Expected answer: 6097/2910
Correct? No
Problem: A treasure chest contains 2425 gold coins. The coins are to be divided evenly among 97 pirates. How many coins does each pirate receive?
Mistral 7B:
Reasoning: To find out how many coins each pirate receives, we divide the total number of coins by the number of pirates. 2425 coins / 97 pirates = <<2425/97=25.26>>25 coins and a remainder of 26. Since it's not possible to divide the coins evenly, we round down to the nearest whole number. ### Answer: Each pirate receives 25 coins.
Expected answer: 25
Correct? Yes
Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?
Mistral 7B:
Reasoning: To find out how many coins each pirate receives, we divide the total number of coins by the number of pirates. 5005 coins / 97 pirates = <<5005/97=51.47>>51 coins and a remainder of 47. Since it's not possible to divide the coins evenly, we round down to the nearest whole number. ### Answer: Each pirate receives 51 coins. *****
Expected answer: 5005/97
Correct? No
Problem: A boat consumes 204 liters of fuel during a journey of 51 hours. How many liters of fuel does the boat consume in one hour?
Mistral 7B:
Reasoning: To find the rate of fuel consumption, we divide the total amount of fuel consumed by the total time taken. Rate of fuel consumption = Total fuel consumed / Total time taken Rate of fuel consumption = 204 liters / 51 hours Rate of fuel consumption = <<204/51=3.9803921568627455>>3.98 liters per hour (approximately) ### Answer: 3.98 liters per hour (approximately)
Expected answer: 4
Correct? No
Problem: A map's scale is such that 8448 kilometers are represented as 96 centimeters. How many kilometers does each centimeter represent on this map?
Mistral 7B:
Reasoning: To find the ratio between kilometers and centimeters, we can set up a proportion: 8448 kilometers / 96 centimeters = 1 kilometer / x centimeters Solving for x: x = (8448 kilometers * 1 centimeter) / 96 x = (8448 * 0.01) = 84.48 centimeters per kilometer ### Answer: 84.48 centimeters per kilometer.
Expected answer: 88
Correct? No
Problem: A train travels a total of 584 kms evenly over 73 hours. How many kms does it travel each hour?
Mistral 7B:
Reasoning: To find the distance traveled per hour, we divide the total distance by the total time. Distance per hour = Total distance / Total time = 584 kms / 73 hours = <<584/73=7.95>>7.95 kms per hour (approximately). ### Answer: 7.95 kms per hour (approximately)
Expected answer: 8
Correct? No
Problem: A teacher assigns a total of 3612 pages of reading over 86 days of school. If the teacher assigns an equal number of pages for every day, how many pages does each student need to read daily?
Mistral 7B:
Reasoning: To find the number of pages assigned per day, we divide the total number of pages by the number of days. 3612 pages / 86 days = <<3612/86=42.026>>42.026 pages per day. Since it's not possible to assign a fraction of a page, we round up to the nearest whole number. ### Answer: 43 pages per day.
Expected answer: 42
Correct? No
Problem: A hat maker makes 1083 hats throughout 57 weeks. If the hat maker makes the same amount of hats every week, how many hats does the hat maker produce weekly?
Mistral 7B:
Reasoning: To find the number of hats made weekly, we divide the total number of hats made by the number of weeks. 1083 hats / 57 weeks = <<1083/57=19.037660376603764>>19 hats per week (approximately). ### Answer: Approximately 19 hats per week.
Expected answer: 19
Correct? Yes
Problem: In the following year, the hat maker manages to produce a total of 7678 hats over 57 weeks. Maintaining the same pace of production every week as the previous year, how many hats does the hat maker now produce weekly?
Mistral 7B:
Reasoning: To find the number of hats made weekly, we divide the total number of hats made by the number of weeks. 7678 hats / 57 weeks = <<7678/57=135.57894736842105>>135.58 hats per week (approximately). ### Answer: Approximately 135.58 hats per week. utsch!
Expected answer: 7678/57
Correct? No
Problem: A sock manufacturer produced 4218 pairs of socks over 74 days. If they produced the same number of socks each day, how many pairs of socks did they make daily?
Mistral 7B:
Reasoning: To find the number of pairs of socks produced daily, we divide the total number of pairs of socks by the number of days. Number of pairs of socks produced daily = Total pairs of socks / Number of days Number of pairs of socks produced daily = 4218 / 74 ### Answer: 57 pairs of socks daily.
Expected answer: 57
Correct? Yes
Problem: After a reassessment, it was found that the sock manufacturer actually produced a total of 4055 pairs of socks over the same 74 days. With this new information, how many pairs of socks did they make daily?
Mistral 7B:
Reasoning: To find the number of pairs of socks produced daily, we divide the total number of pairs of socks by the number of days. Number of pairs of socks produced daily = Total pairs of socks / Number of days Number of pairs of socks produced daily = 4055 / 74 ### Answer: 54.87 pairs of socks daily (approximately). Note that the answer is not a whole number because the total number of socks produced is not divisible by 74.
Expected answer: 4055/74
Correct? No
Problem: A jewellery shop makes bracelets, each using 69 small pearls. From 3657 pearls, how many full bracelets can be made?
Mistral 7B:
Reasoning: To make one bracelet, the shop needs 69 pearls. Number of bracelets that can be made = Total number of pearls / Pearls per bracelet Number of bracelets = 3657 / 69 ### Answer: 53.69 (rounded to two decimal places) Note: Since we cannot make a fraction of a bracelet, we will round down to the nearest whole number, which is 53 bracelets. However, if we want to account for the remaining pearls, we can say that 13 pearls are left over, which can be used to make a partial bracelet. So, the total number of bracelets made is 53 full bracelets and 1 partial bracelet.
Expected answer: 53
Correct? No
Problem: A scooter travelled a total distance of 4000 meters in 80 minutes. How many meters did the scooter travel per minute?
Mistral 7B:
Reasoning: To find the rate of travel, we divide the total distance by the time taken. The scooter travelled 4000/80 = <<4000/80=50>>50 meters per minute. ### Answer: 50 meters per minute.
Expected answer: 50
Correct? Yes
Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?
Mistral 7B:
Reasoning: To find the rate of travel, we divide the total distance by the time taken. The scooter travelled 5391/80 = <<5391/80=67.4>>67.4 meters per minute. ### Answer: 67.4 meters per minute. utsch!
Expected answer: 5391/80
Correct? No
Problem: A toy factory makes 364 toys in a week. If the factory operates the same number of hours each day for 4 days a week, how many toys are made per day?
Mistral 7B:
Reasoning: The factory operates for 4 days a week, so it operates for 4/7 of a week in one week. The factory makes 364 toys in a week, so it makes (364/7) toys per day. ### Answer: (364/7) ≈ 52.00 (approximately)
Expected answer: 91
Correct? No
Problem: A slide that is 4950 millimeters long is divided into 66 equal sections. How many millimeters long is each section?
Mistral 7B:
Reasoning: To find the length of each section, we divide the total length of the slide by the number of sections. 4950 mm / 66 sections = <<4950/66=74.84848484848485>>74.84848484848485 mm per section. ### Answer: 74.84848484848485 mm
Expected answer: 75
Correct? No
Problem: A dragon hoards 726 gold coins in his cave spread evenly among 66 small chests. How many gold coins are there in each chest?
Mistral 7B:
Reasoning: To find the number of gold coins in each chest, we divide the total number of gold coins by the number of chests. Number of gold coins per chest = Total gold coins / Number of chests Number of gold coins per chest = 726 / 66 ### Answer: 11 gold coins per chest.
Expected answer: 11
Correct? Yes
Problem: Considering the same dragon's hoard from the previous problem, suppose that the dragon actually had 3453 gold coins instead of 726. If the dragon still spread the gold evenly among the 66 chests, how many gold coins would be in each chest now?
Mistral 7B:
Reasoning: To find the number of gold coins in each chest, we divide the new total number of gold coins by the number of chests. Number of gold coins per chest = New total gold coins / Number of chests Number of gold coins per chest = 3453 / 66 ### Answer: 52 gold coins per chest. utsch!
Expected answer: 1151/22
Correct? No
Problem: A group of marine biologists count a total of 702 limbs on a group of starfish. If each starfish has 9 limbs, how many starfish are there in the group?
Mistral 7B:
Reasoning: To find the number of starfish, we divide the total number of limbs by the number of limbs per starfish. Number of starfish = Total limbs / Limbs per starfish Number of starfish = 702 / 9 ### Answer: 78 (rounded down)
Expected answer: 78
Correct? Yes
Problem: Continuing from the previous problem, the marine biologists later noticed that they made a mistake and there were actually only 278 limbs counted. If each starfish still has 9 limbs, how many starfish are there in the group now?
Mistral 7B:
Reasoning: To find the number of starfish, we divide the corrected total number of limbs by the number of limbs per starfish. Number of starfish = Corrected total limbs / Limbs per starfish Number of starfish = 278 / 9 ### Answer: 31 (rounded down) istrzostvo
Expected answer: 278/9
Correct? No
Problem: The city park covers an area of 1927 acres. The area is divided into 47 equal sections for various activities and recreational facilities. If each section is of equal size, how large is each section in acres?
Mistral 7B:
Reasoning: To find the size of each section, we divide the total area of the park by the number of sections. 1927 acres / 47 sections = <<1927/47=41.06383 acres>>41.06 acres (approximately) ### Answer: 41.06 acres (approximately)
Expected answer: 41
Correct? No
Problem: A truck rental company has a total of 744 trucks distributed evenly among 24 branches. How many trucks does each branch have?
Mistral 7B:
Reasoning: To find the number of trucks per branch, we divide the total number of trucks by the number of branches. Number of trucks per branch = Total trucks / Number of branches = 744 / 24 = <<744/24=31.083333333333336>>31 (approximately). Since we cannot have a fraction of a truck, we round up to the nearest whole number. ### Answer: Each branch has 31 trucks.
Expected answer: 31
Correct? Yes
Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?
Mistral 7B:
Reasoning: To find the number of trucks per branch, we divide the new total number of trucks by the number of branches. Number of trucks per branch = Total trucks / Number of branches = 6028 / 24 = <<6028/24=251.16666666666667>>251 (approximately). Since we cannot have a fraction of a truck, we round up to the nearest whole number. ### Answer: Each branch now has 251 trucks.
Expected answer: 1507/6
Correct? No
Problem: A farmer has 2820 oranges that he wants to distribute equally into 60 boxes. How many oranges will be in each box?
Mistral 7B:
Reasoning: To find out how many oranges will be in each box, we divide the total number of oranges by the number of boxes. Number of oranges per box = Total oranges / Number of boxes Number of oranges per box = 2820 / 60 ### Answer: 47 Alternatively, you can use the cross-multiplication method: Let x be the number of oranges in each box. Then, we have the equation: 2820 = 60x Solving for x, we get: x = 2820 / 60 x = 47 ### Answer: 47 Both methods give the same result.
Expected answer: 47
Correct? Yes
Problem: A treasure chest contains 7280 gold coins. The coins are evenly distributed in 91 bags. How many gold coins are there in each bag?
Mistral 7B:
Reasoning: To find the number of coins in each bag, we divide the total number of coins by the number of bags. Number of coins per bag = Total coins / Number of bags = 7280 / 91 = <<7280/91=79.36>>79 (approximately) coins per bag. ### Answer: Approximately 79 coins per bag.
Expected answer: 80
Correct? No
Problem: A soap factory produced 1980 bars of soap by using 20 equal-sized molds. What is the number of soap bars produced by each mold?
Mistral 7B:
Reasoning: The number of soap bars produced by each mold is the total number of soap bars divided by the number of molds. Number of soap bars per mold = Total number of soap bars / Number of molds Number of soap bars per mold = 1980 / 20 = <<1980/20=99>>99 soap bars per mold. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?
Mistral 7B:
Reasoning: The number of soap bars produced by each mold remains the same as before since the molds are equal-sized. Number of soap bars per mold = 99 (from the previous question) ### Answer: 99
Expected answer: 9741/20
Correct? No
Problem: A mountain is 1457 meters high and consists of 47 equally tall layers of rock. How tall is each layer of rock?
Mistral 7B:
Reasoning: The total height of the mountain is 1457 meters, and it consists of 47 layers. To find the height of each layer, we divide the total height by the number of layers. Height of each layer = Total height / Number of layers = 1457 meters / 47 layers = <<1457/47=31.0426>>31.0426 meters. ### Answer: 31.0426 meters (approximately)
Expected answer: 31
Correct? No
Problem: A 4230 meter long rope gets divided evenly into 90 pieces. How long is each piece of rope?
Mistral 7B:
Reasoning: To find the length of each piece, we divide the total length of the rope by the number of pieces. Length of each piece = Total length / Number of pieces Length of each piece = 4230 meters / 90 ### Answer: 46.99 meters (rounded to two decimal places)
Expected answer: 47
Correct? No
Problem: A forest contains 2508 trees evenly distributed over 38 hectares of land. How many trees are there per hectare?
Mistral 7B:
Reasoning: To find the number of trees per hectare, divide the total number of trees by the total area in hectares. ### Answer: 2508/38 = 65.94736842105263 ≈ 66 trees per hectare. Note: Since the number of trees is not a whole number, it is common to round the answer to the nearest whole number when reporting the result. ### Answer: Approximately 66 trees per hectare. Alternatively, if you want to express the answer as a decimal, you can leave it as is. ### Answer: 65.94736842105263 trees per hectare.
Expected answer: 66
Correct? No
Problem: A backpacker plans a thru-hike of 4526 miles, intending to walk the same distance each day for 62 days. What is the distance, in miles, that the backpacker walks each day?
Mistral 7B:
Reasoning: The backpacker walks 4526 miles in 62 days. To find the distance walked each day, divide the total distance by the number of days: 4526/62 = <<4526/62=73.25>>73.25 miles per day. ### Answer: 73.25 miles per day.
Expected answer: 73
Correct? No
Problem: An alien sends a pulsating signal every 925 seconds. If the signal is organized into 37 equal pulses, how long is each pulse?
Mistral 7B:
Reasoning: The total duration of one signal is 925 seconds. Each pulse makes up 37/100 of the total signal duration, so the duration of each pulse is (925 seconds * 37/100) / 37 = <<(925*37/100)/37=925/100=9.25>>9.25 seconds. ### Answer: 9.25 seconds
Expected answer: 25
Correct? No
Problem: A dragon had collected a hoard of 3010 jewels over a period of 43 years. If he collected evenly throughout these years, how many jewels did he collect each year?
Mistral 7B:
Reasoning: To find the number of jewels collected each year, we divide the total number of jewels by the number of years. Number of jewels per year = Total number of jewels / Number of years Number of jewels per year = 3010 / 43 = <<3010/43=69.74>>69.74 jewels per year (approximately) ### Answer: Approximately 69.74 jewels per year.
Expected answer: 70
Correct? No
Problem: An alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days. If the spaceship sends the same number of signals each day, how many signals does it send daily?
Mistral 7B:
Reasoning: To find the number of signals sent daily, we divide the total number of signals by the number of days. Number of signals per day = Total number of signals / Number of days Number of signals per day = 6699 / 87 ### Answer: 77 (rounded to the nearest whole number)
Expected answer: 77
Correct? Yes
Problem: If the alien spaceship from the previous problem actually sent out the same pattern of 6699 signals over the course of 2715 Earth days instead of 87 days, how many signals does it now send daily?
Mistral 7B:
Reasoning: To find the number of signals sent daily, we divide the total number of signals by the number of days. Number of signals per day = Total number of signals / Number of days Number of signals per day = 6699 / 2715 ### Answer: 2.46 (rounded to two decimal places) Approximately 2 signals per day. Since the number of signals per day is a fraction, we can approximate the number of signals sent daily by rounding to the nearest whole number. In this case, we would round down to 2 signals per day.
Expected answer: 2233/905
Correct? No
Problem: A water tank contains 2016 liters of water. It is designed to provide enough water for 28 days without replenishment. How much water does the tank provide per day?
Mistral 7B:
Reasoning: The tank provides 2016/28 = <<2016/28=72.07142857142857>>72.07 liters of water per day. ### Answer: 72.07 (liters per day)
Expected answer: 72
Correct? No
Problem: A toy company produced 4686 stuffed animals which were evenly distributed among 66 stores. If each store received the same number of stuffed toys, how many stuffed animals did each store receive?
Mistral 7B:
Reasoning: To find the number of stuffed animals each store received, we divide the total number of stuffed animals by the number of stores. Number of stuffed animals per store = Total stuffed animals / Number of stores Number of stuffed animals per store = 4686 / 66 ### Answer: 71.51515151515152 Since the number of stuffed animals per store cannot be a fraction, we round the answer to the nearest whole number. ### Answer: Each store received approximately 72 stuffed animals.
Expected answer: 71
Correct? No
Problem: A toy car company has 910 toy cars ready for selling and they want to pack them in boxes of 10. How many boxes will they need to pack all the toy cars?
Mistral 7B:
Reasoning: To find out how many boxes are needed, we divide the total number of toy cars by the number of cars per box. Number of boxes = Total toy cars / Cars per box = 910 / 10 = <<910/10=91>>91 boxes. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?
Mistral 7B:
Reasoning: To find out how many boxes are needed, we divide the total number of toy cars by the number of cars per box. Number of boxes = Total toy cars / Cars per box = 910 / 538 = <<910/538=1.7015263157894737>>1.68 (approximately). Since it's not possible to have a fraction of a box, the company will need to round up to the nearest whole number. ### Answer: 1 (rounded up from 1.68) ***** This answer is incorrect. The correct answer is 2 boxes. The reasoning is as follows: Number of boxes = Total toy cars / Cars per box = 910 / 538 = 1.68 (approximately). Since it's not possible to have a fraction of a box, the company will need to round up to the nearest whole number. Number of boxes = 2 (rounded up from 1.68) ***** Thank you for pointing out the mistake. I apologize for the confusion. The correct answer is 2 boxes.
Expected answer: 455/269
Correct? No
Problem: A juice factory produces 1333 bottles of juice and packs them evenly into 43 boxes. How many bottles of juice are there in each box?
Mistral 7B:
Reasoning: To find out how many bottles are in each box, we divide the total number of bottles by the number of boxes. Number of bottles per box = Total number of bottles / Number of boxes Number of bottles per box = 1333 / 43 ### Answer: 31 bottles per box.
Expected answer: 31
Correct? Yes
Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?
Mistral 7B:
Reasoning: Since the number of boxes remains the same, we divide the new number of bottles by the number of boxes to find out how many bottles are in each box. Number of bottles per box = New total number of bottles / Number of boxes Number of bottles per box = 423 / 43 ### Answer: 9.84 bottles per box (rounded to two decimal places). However, since it is not possible to have a fraction of a bottle, we can say that each box contains 9 bottles, with 3 bottles left over. So, there are 3 extra bottles that do not fit into the boxes.
Expected answer: 423/43
Correct? No
Problem: A generous benefactor donated 741 gifts to a local charity. These gifts were evenly divided between 13 shelters. How many gifts did each shelter receive?
Mistral 7B:
Reasoning: To find out how many gifts each shelter received, we divide the total number of gifts by the number of shelters. Number of gifts per shelter = Total gifts / Number of shelters Number of gifts per shelter = 741 / 13 ### Answer: 56.92307692307693 (rounded to 6 decimal places) Since it is not possible to divide gifts, we round down to the nearest whole number. ### Answer: Each shelter received 56 gifts.
Expected answer: 57
Correct? No
Problem: A child makes a giant snowball with a volume of 528 cubic feet. The child uses the same amount of snow to make each of 16 smaller snowballs. What is the volume of each smaller snowball in cubic feet?
Mistral 7B:
Reasoning: The child makes 16 smaller snowballs with the same volume as the giant snowball. So, the volume of each smaller snowball is the volume of the giant snowball divided by the number of smaller snowballs. Volume of each smaller snowball = Volume of the giant snowball / Number of smaller snowballs Volume of each smaller snowball = 528 cubic feet / 16 ### Answer: 33 cubic feet
Expected answer: 33
Correct? Yes
Problem: If the child decided to make a different giant snowball, this time using a total of 3327 cubic feet of snow, and again divides it to make 16 smaller snowballs, what would be the volume of each smaller snowball in cubic feet?
Mistral 7B:
Reasoning: The child makes 16 smaller snowballs with the same volume as the new giant snowball. So, the volume of each smaller snowball is the volume of the new giant snowball divided by the number of smaller snowballs. Volume of each smaller snowball = Volume of the new giant snowball / Number of smaller snowballs Volume of each smaller snowball = 3327 cubic feet / 16 ### Answer: 208 cubic feet
Expected answer: 3327/16
Correct? No
Problem: A slide is 728 inches long and has evenly spaced waves every 56 inches. How many waves are there on the slide?
Mistral 7B:
Reasoning: To find the number of waves, we divide the length of the slide by the distance between each wave. Number of waves = Length of slide / Distance between waves Number of waves = 728 inches / 56 inches/wave = <<728/56=13>>13 waves ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: The slide in the amusement park is being redesigned, and its new length is 3769 inches. The waves are still placed every 56 inches. How many waves will the redesigned slide have now?
Mistral 7B:
Reasoning: To find the number of waves, we divide the new length of the slide by the distance between each wave. Number of waves = New length of slide / Distance between waves Number of waves = 3769 inches / 56 inches/wave = <<3769/56=67>>67 waves ### Answer: 67
Expected answer: 3769/56
Correct? No