Llama 3 8B on 6.NS.B.2
Common Core Standard 6.NS.B.2
This standard covers the following:
Fluently divide multi-digit numbers using the standard algorithm.
Problem: There are 73841 cubic centimeters of air needed to inflate a large beach ball. If we fill the ball up at a rate of 41 cubic centimeters per second, how many seconds will it take to fully inflate the beach ball?
Llama 3 8B:
Reasoning: To find the time it takes to fully inflate the beach ball, we need to divide the total volume of air needed (73841 cubic centimeters) by the rate at which air is being added (41 cubic centimeters per second). Time = Total volume / Rate = 73841 cubic centimeters / 41 cubic centimeters/second = 1803.5 seconds ### Answer: 1803.5 seconds
Expected answer: 1801
Correct? No
Problem: A juice company produced 73528 liters of juice. If they filled the same amount of juice into 707 containers, how many liters of juice are there in each container?
Llama 3 8B:
Reasoning: The total amount of juice is 73528 liters. This amount is distributed equally among 707 containers. To find the amount of juice in each container, we can divide the total amount by the number of containers. 73528 ÷ 707 = <<73528/707=104>> ### Answer: 104
Expected answer: 104
Correct? Yes
Problem: In the previous problem, the juice company produced 73528 liters of juice filled into 707 containers. Now consider instead that the juice company produced a new batch of fresh juice, a total of 2858 liters. If the new batch was also filled the same way into 707 containers, how many liters of juice are now in each container?
Llama 3 8B:
Reasoning: The total amount of juice is now the sum of the original amount and the new batch. The original amount was 73528 liters, and the new batch is 2858 liters. The total amount is: 73528 + 2858 = 76486 liters This amount is still distributed equally among 707 containers. To find the amount of juice in each container, we can divide the total amount by the number of containers. 76486 ÷ 707 = <<76486/707=108>> ### Answer: 108
Expected answer: 2858/707
Correct? No
Problem: A pants factory produced a total of 87780 pants and equally distributed them to 110 wholesale clothing stores. How many pants did each store receive?
Llama 3 8B:
Reasoning: To find out how many pants each store received, we need to divide the total number of pants produced by the number of stores. 87780 pants / 110 stores = 798 pants per store. ### Answer: 798
Expected answer: 798
Correct? Yes
Problem: If the pants factory had produced a total of 4003 pants instead of 87780, and still equally distributed them to the 110 wholesale clothing stores, how many pants would each store have received now?
Llama 3 8B:
Reasoning: If the total number of pants produced is 4003, and it's still equally distributed to 110 stores, we can divide the total number of pants by the number of stores to find out how many pants each store would receive. 4003 pants / 110 stores = 36 pants per store. ### Answer: 36
Expected answer: 4003/110
Correct? No
Problem: Farmer Bob has grown 71820 carrots this season and wants to sell them in bundles. If he makes each bundle consist of 684 carrots, how many bundles of carrots will he have?
Llama 3 8B:
Reasoning: To find the number of bundles, we need to divide the total number of carrots (71820) by the number of carrots in each bundle (684). 71820 ÷ 684 = 104.5 Since you can't make a fraction of a bundle, we round down to the nearest whole number. 104.5 → 104 So, Farmer Bob will have 104 bundles of carrots. ### Answer: 104
Expected answer: 105
Correct? No
Problem: A popular slide has been used 85860 times over 54 consecutive days. If the usage rate is constant, how many times per day has the slide been used?
Llama 3 8B:
Reasoning: To find the number of times the slide has been used per day, we need to divide the total number of times it has been used (85860) by the number of days it has been used (54). 85860 ÷ 54 = 1590 ### Answer: 1590
Expected answer: 1590
Correct? Yes
Problem: After maintaining a consistent usage rate, the same slide has been used 9018 times over 54 consecutive days. Under this rate, how many times per day has the slide been used?
Llama 3 8B:
Reasoning: Since the usage rate is consistent, we can divide the total number of times the slide has been used (9018) by the number of days it has been used (54) to find the number of times it has been used per day. 9018 ÷ 54 = 167 ### Answer: 167
Expected answer: 167
Correct? Yes
Problem: A ski resort receives a total of 31950 inches of snowfall evenly spread throughout 225 days of winter. How many inches of snow does the ski resort receive each day?
Llama 3 8B:
Reasoning: To find the amount of snowfall per day, we can divide the total amount of snowfall (31950 inches) by the number of days (225 days). 31950 ÷ 225 = 142.22 So, the ski resort receives approximately 142.22 inches of snow each day. ### Answer: 142.22
Expected answer: 142
Correct? No
Problem: A jewelry manufacturer has 63802 grams of gold, and they want to make rings each of which will weigh exactly the same. If they plan to make 38 rings, how many grams of gold will be in each ring?
Llama 3 8B:
Reasoning: To find the total amount of gold needed for the rings, we need to multiply the number of rings by the amount of gold per ring. Since we don't know the amount of gold per ring yet, let's call it x. Then, the total amount of gold needed is 38x. We know that the total amount of gold available is 63802 grams. So, we can set up the equation: 38x = 63802 To solve for x, we can divide both sides of the equation by 38: x = 63802 / 38 x = 1681 So, each ring will weigh 1681 grams of gold. ### Answer: 1681
Expected answer: 1679
Correct? No
Problem: A goldsmith has a total of 60544 milligrams of gold. If each ring the goldsmith makes requires exactly 5504 milligrams of gold, how many full rings can the goldsmith make?
Llama 3 8B:
Reasoning: The goldsmith has a total of 60544 milligrams of gold. Each ring requires 5504 milligrams of gold. To find the number of full rings the goldsmith can make, we can divide the total amount of gold by the amount required for one ring. 60544 ÷ 5504 = 11 The goldsmith can make 11 full rings. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a zoo, there are 10489 animals, and they are evenly distributed in 617 cages. What is the average number of animals in each cage?
Llama 3 8B:
Reasoning: To find the average number of animals in each cage, we need to divide the total number of animals (10489) by the number of cages (617). 10489 ÷ 617 = 17 ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Now consider that instead of 617 cages, the 10,489 animals are evenly distributed in 5130 cages. How does the average number of animals per cage change now?
Llama 3 8B:
Reasoning: To find the average number of animals in each cage, we need to divide the total number of animals (10489) by the new number of cages (5130). 10489 ÷ 5130 = 2.05 ### Answer: 2.05
Expected answer: 10489/5130
Correct? No
Problem: A farmer has 21652 grams of carrots, and he wants to evenly distribute them into 5413 bags. How many grams of carrots will be in each bag?
Llama 3 8B:
Reasoning: To find the number of grams of carrots in each bag, we need to divide the total number of grams of carrots (21652) by the number of bags (5413). 21652 ÷ 5413 = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The farmer had initially thought he had 21652 grams of carrots. However, upon recounting, he realizes he actually has 5652 grams of carrots. If he still wants to distribute the carrots evenly into 5413 bags, how many grams of carrots will now be in each bag?
Llama 3 8B:
Reasoning: Since the farmer has fewer carrots now, each bag will contain fewer grams of carrots. To find the new amount, we need to divide the new total number of grams of carrots (5652) by the number of bags (5413). 5652 ÷ 5413 = 1 ### Answer: 1
Expected answer: 5652/5413
Correct? No
Problem: An astronaut's spaceship travels a total distance of 38745 miles on its space mission. The journey is divided into 5 equal stages. How many miles does the spaceship travel in each stage?
Llama 3 8B:
Reasoning: To find the distance traveled in each stage, we can divide the total distance by the number of stages. Total distance = 38745 miles Number of stages = 5 Distance per stage = Total distance ÷ Number of stages = 38745 ÷ 5 = 7749 miles ### Answer: 7749
Expected answer: 7749
Correct? Yes
Problem: In the previous space mission scenario, if instead, the spaceship had to divide its total travel distance of 38745 miles into 3113 equal stages, how many miles would it now have to travel in each stage?
Llama 3 8B:
Reasoning: To find the distance traveled in each stage, we can divide the total distance by the number of stages. Total distance = 38745 miles Number of stages = 3113 Distance per stage = Total distance ÷ Number of stages = 38745 ÷ 3113 = 12.43 miles ### Answer: 12.43
Expected answer: 38745/3113
Correct? No
Problem: A factory needs to distribute 84,564 liters of water evenly into 261 bottles. If each bottle gets the same amount of water, how many liters does each bottle contain?
Llama 3 8B:
Reasoning: To find the amount of water each bottle contains, we need to divide the total amount of water (84,564 liters) by the number of bottles (261). 84,564 ÷ 261 = 325 ### Answer: 325
Expected answer: 324
Correct? No
Problem: A massive book series contains a total of 13467 pages, divided equally among 201 volumes. How many pages would you find in each volume?
Llama 3 8B:
Reasoning: To find the number of pages in each volume, we need to divide the total number of pages (13467) by the number of volumes (201). 13467 ÷ 201 = 67 ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: A fireplace uses 56888 BTU (British Thermal Units) of energy in 2188 hours when it is working continuously. How many BTU of energy does the fireplace use per hour?
Llama 3 8B:
Reasoning: To find the energy used per hour, we can divide the total energy used (56888 BTU) by the total hours worked (2188 hours). 56888 BTU ÷ 2188 hours = 25.93 BTU per hour ### Answer: 25.93 BTU per hour
Expected answer: 26
Correct? No
Problem: Across the span of 82 days in winter, a town recorded a total snowfall of 36900 inches. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day?
Llama 3 8B:
Reasoning: To find the daily snowfall, we can divide the total snowfall by the number of days. 36900 inches / 82 days = <<36900/82=450>>450 inches of snow per day. ### Answer: 450
Expected answer: 450
Correct? Yes
Problem: In the same town, in another winter period, the total snowfall recorded was 36900 inches as well but this time across 7138 days. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day during this period?
Llama 3 8B:
Reasoning: To find the daily snowfall, we can divide the total snowfall by the number of days. 36900 inches / 7138 days = <<36900/7138=5.15>>5.15 inches of snow per day. ### Answer: 5.15
Expected answer: 18450/3569
Correct? No
Problem: A wildlife reserve spans an area of 71292 square kilometers and is home to 2742 giraffes. If each giraffe has an equal amount of space, how many square kilometers does each giraffe get?
Llama 3 8B:
Reasoning: To find the area each giraffe gets, we need to divide the total area of the reserve by the number of giraffes. Total area = 71292 square kilometers Number of giraffes = 2742 Area per giraffe = Total area ÷ Number of giraffes = 71292 ÷ 2742 = 25.9 square kilometers ### Answer: 25.9
Expected answer: 26
Correct? No
Problem: A lion conservation project has successfully protected 96187 lions over a span of 13 years. If the project saved the same number of lions each year, how many lions were saved per year on average?
Llama 3 8B:
Reasoning: The project saved a total of 96187 lions over 13 years. To find the average number of lions saved per year, we can divide the total number of lions saved by the number of years. 96187 ÷ 13 = 7389 ### Answer: 7389
Expected answer: 7399
Correct? No
Problem: A mermaid has found a total of 32812 pearls on the ocean floor and wants to divide them evenly among her 631 mermaid friends. How many pearls will each friend receive?
Llama 3 8B:
Reasoning: To find out how many pearls each mermaid friend will receive, we need to divide the total number of pearls (32812) by the number of mermaid friends (631). 32812 ÷ 631 = 52 ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: The mermaid realized that she had miscalculated and there are actually only 4198 mermaid friends, not 631. If she divides the 32812 pearls evenly among her 4198 friends now, how many pearls will each friend receive?
Llama 3 8B:
Reasoning: Since the mermaid has 4198 friends now, we need to recalculate the number of pearls each friend will receive. 32812 ÷ 4198 = 7.82 Since you can't divide pearls into fractions, we'll round down to the nearest whole number. 7.82 ≈ 7 ### Answer: 7
Expected answer: 16406/2099
Correct? No
Problem: A farm produces a total of 36,784 apples during the 19 weeks of its growing season. If the amount of harvested apples is the same each week, how many apples does the farm produce weekly?
Llama 3 8B:
Reasoning: The farm produces a total of 36,784 apples in 19 weeks. To find the number of apples produced weekly, we can divide the total number of apples by the number of weeks. 36,784 ÷ 19 = 1936 ### Answer: 1936
Expected answer: 1936
Correct? Yes
Problem: Considering the previous situation, what if the farm actually produced the same number of apples over a much longer period of 152 weeks rather than 19 weeks? How many apples does the farm now produce weekly?
Llama 3 8B:
Reasoning: The farm still produces a total of 36,784 apples. To find the number of apples produced weekly, we can divide the total number of apples by the new number of weeks. 36,784 ÷ 152 = 242 ### Answer: 242
Expected answer: 242
Correct? Yes
Problem: A train travels 63245 miles over a period of 695 days. If the train travels the same distance each day, how many miles does it cover in a day?
Llama 3 8B:
Reasoning: To find the distance the train travels in a day, we can divide the total distance traveled (63245 miles) by the number of days it took to travel that distance (695 days). 63245 miles ÷ 695 days = 90.93 miles ### Answer: 90.93 miles
Expected answer: 91
Correct? No
Problem: A doll factory produced a total of 41772 dolls over a period of 708 days. If the factory kept up with the same daily production rate, how many dolls were being made in a day?
Llama 3 8B:
Reasoning: To find the daily production rate, we need to divide the total number of dolls produced (41772) by the number of days (708). 41772 ÷ 708 = <<41772/708=59>>59 dolls were being made in a day. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: What if the same doll factory initially planned to produce the same total number of 41772 dolls, but now over a longer period of 4664 days? If so, how many dolls would have been produced daily then?
Llama 3 8B:
Reasoning: To find the daily production rate, we need to divide the total number of dolls produced (41772) by the new number of days (4664). 41772 ÷ 4664 = <<41772/4664=9>>9 dolls would have been produced daily then. ### Answer: 9
Expected answer: 10443/1166
Correct? No
Problem: A drummer has a goal to hit his drum 61019 times. If he plans to do this over the course of 7 days, how many times will he need to hit the drum each day to meet his goal?
Llama 3 8B:
Reasoning: To find out how many times the drummer needs to hit the drum each day, we need to divide the total number of times he wants to hit the drum (61019) by the number of days he has to achieve this goal (7). 61019 ÷ 7 = <<61019/7=8717.86>>8717.86 Since you can't hit a drum a fraction of a time, we'll round up to the nearest whole number to ensure the drummer meets his goal. 8717.86 → 8718 ### Answer: 8718
Expected answer: 8717
Correct? No
Problem: In a particular marine park, a dolphin can swim an average of 98816 meters in 128 hours. How many meters can the dolphin swim in an hour?
Llama 3 8B:
Reasoning: To find the distance the dolphin can swim in an hour, we need to divide the total distance it can swim in 128 hours by the number of hours. The total distance the dolphin can swim in 128 hours is 98816 meters. The distance the dolphin can swim in an hour is 98816/128 = <<98816/128=772.5>> meters. ### Answer: 772.5
Expected answer: 772
Correct? No
Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?
Llama 3 8B:
Reasoning: To find the average number of streams per day, we need to divide the total number of streams (71532) by the number of days (1987). 71532 ÷ 1987 = 36.04 So, the song averaged approximately 36.04 streams per day. ### Answer: 36.04
Expected answer: 36
Correct? No
Problem: A compass salesman has 33046 compasses that he wants to distribute evenly among 1066 stores. How many compasses will each store receive if they are divided equally?
Llama 3 8B:
Reasoning: To find out how many compasses each store will receive, we need to divide the total number of compasses (33046) by the number of stores (1066). 33046 ÷ 1066 = 31 ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Suppose the compass salesman later realizes he made a mistake and that he actually has to distribute the 33046 compasses equally among 6456 stores, not 1066. How many compasses will each store receive now, if they are divided equally?
Llama 3 8B:
Reasoning: To find out how many compasses each store will receive, we need to divide the total number of compasses (33046) by the new number of stores (6456). 33046 ÷ 6456 = 5 ### Answer: 5
Expected answer: 16523/3228
Correct? No
Problem: In a large farm, a total of 49822 carrots are harvested from 58 similar plots. If each plot yielded the same number of carrots, how many carrots did each plot yield?
Llama 3 8B:
Reasoning: Let's say each plot yielded x carrots. Since there are 58 plots, the total number of carrots harvested is 58x. We know that the total number of carrots harvested is 49822, so we can set up the equation: 58x = 49822 To find the value of x, we can divide both sides of the equation by 58: x = 49822 ÷ 58 x = 858.72 So each plot yielded approximately 858.72 carrots. ### Answer: 858.72
Expected answer: 859
Correct? No
Problem: There is a cloud which covers 8744 square meters of the sky and exactly the same area is revealed when the cloud dispels. If the revealed area is divided equally over the original area, what is the ratio of the revealed area to the original area?
Llama 3 8B:
Reasoning: The revealed area is equal to the original area, which is 8744 square meters. The ratio of the revealed area to the original area is 8744/8744 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A scooter travels a total distance of 97506 meters on a full charge. If the battery life of the scooter is 18 hours on a full charge, how many meters does the scooter travel per hour?
Llama 3 8B:
Reasoning: The scooter travels a total distance of 97506 meters on a full charge. The battery life is 18 hours on a full charge. To find the distance traveled per hour, we can divide the total distance by the battery life. 97506 meters ÷ 18 hours = 5403.67 meters per hour ### Answer: 5403.67 meters per hour
Expected answer: 5417
Correct? No
Problem: A star emits a total of 94548 units of light energy over a period of 7879 hours. If the star emits a constant amount of light energy every hour, how much light energy does it emit every hour?
Llama 3 8B:
Reasoning: To find the amount of light energy emitted every hour, we need to divide the total amount of light energy (94548 units) by the number of hours (7879 hours). 94548 units ÷ 7879 hours = 12 units per hour ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead, the star emitted a total of 94548 units of light energy over a shorter period of 3349 hours, still at a constant rate, how much light energy would it emit every hour now?
Llama 3 8B:
Reasoning: To find the amount of light energy emitted every hour, we need to divide the total amount of light energy (94548 units) by the new number of hours (3349 hours). 94548 units ÷ 3349 hours = 28.2 units per hour ### Answer: 28.2
Expected answer: 94548/3349
Correct? No
Problem: A forest contains a total of 80752 trees and it is split evenly into 412 sections. How many trees are there in each section?
Llama 3 8B:
Reasoning: To find the number of trees in each section, we can divide the total number of trees (80752) by the number of sections (412). 80752 ÷ 412 = 196 ### Answer: 196
Expected answer: 196
Correct? Yes
Problem: Given the same forest as before with 80752 trees, what if it was divided into 1778 sections instead of 412? How many trees would there be in each section now?
Llama 3 8B:
Reasoning: To find the number of trees in each section, we can divide the total number of trees (80752) by the new number of sections (1778). 80752 ÷ 1778 = 45 ### Answer: 45
Expected answer: 5768/127
Correct? No
Problem: A farm harvested 44280 cucumbers over 216 days. If they harvested an equal amount of cucumbers each day, how many cucumbers were harvested each day?
Llama 3 8B:
Reasoning: To find the number of cucumbers harvested each day, we can divide the total number of cucumbers harvested (44280) by the number of days (216). 44280 ÷ 216 = 204 ### Answer: 204
Expected answer: 205
Correct? No
Problem: A cookie factory produced a total of 77545 cookies that were evenly divided into 1193 packages. How many cookies are there in each package?
Llama 3 8B:
Reasoning: To find the number of cookies in each package, we can divide the total number of cookies (77545) by the number of packages (1193). 77545 ÷ 1193 = 64.83 Since we can't have a fraction of a cookie, we round down to the nearest whole number, which is 64. ### Answer: 64
Expected answer: 65
Correct? No
Problem: A star emits 51750 units of light energy every 125 seconds. How much light energy does the star emit every second?
Llama 3 8B:
Reasoning: To find the light energy emitted per second, we need to divide the total light energy emitted in 125 seconds by 125. Total light energy emitted in 125 seconds = 51750 Light energy emitted per second = 51750 / 125 = 415 ### Answer: 415
Expected answer: 414
Correct? No
Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?
Llama 3 8B:
Reasoning: To find the number of candies produced each day, we can divide the total number of candies produced (25144) by the number of days (56). 25144 ÷ 56 = 449 ### Answer: 449
Expected answer: 449
Correct? Yes
Problem: In the previous scenario, suppose that the candy factory had instead produced 25144 candies evenly over 4290 days. How many candies would they have made each day in this case?
Llama 3 8B:
Reasoning: To find the number of candies produced each day, we can divide the total number of candies produced (25144) by the number of days (4290). 25144 ÷ 4290 = 5.87 ### Answer: 6 (since you can't make a fraction of a candy)
Expected answer: 12572/2145
Correct? No
Problem: A party needs 34240 slices of bread for sandwiches. If each loaf of bread contains 10 slices, how many loaves of bread are needed for the party?
Llama 3 8B:
Reasoning: To find the number of loaves needed, we need to divide the total number of slices needed (34240) by the number of slices per loaf (10). 34240 ÷ 10 = 3424 ### Answer: 3424
Expected answer: 3424
Correct? Yes
Problem: If instead the party needed 7638 slices of bread for sandwiches, still considering that each loaf of bread contains 10 slices, how many loaves of bread would then be needed for the party?
Llama 3 8B:
Reasoning: To find the number of loaves needed, we need to divide the total number of slices needed (7638) by the number of slices per loaf (10). 7638 ÷ 10 = 763.8 Since you can't have a fraction of a loaf, we round up to the nearest whole number to ensure we have enough bread. 763.8 → 764 ### Answer: 764
Expected answer: 3819/5
Correct? No
Problem: A forest ranger has noticed that over 119 days, 20111 trees have sprouted throughout the forest. If each day has the same number of new trees sprouting, how many new trees sprout each day?
Llama 3 8B:
Reasoning: To find the number of new trees sprouting each day, we can divide the total number of trees sprouted (20111) by the number of days (119). 20111 ÷ 119 = 169 ### Answer: 169
Expected answer: 169
Correct? Yes
Problem: The same forest ranger now considers a different area of the forest. This time, over a period of 119 days, he noticed that 6216 new trees had sprouted. If the same number of new trees sprouted each day, how many new trees sprouted each day in this different area of the forest?
Llama 3 8B:
Reasoning: To find the number of new trees sprouting each day, we can divide the total number of trees sprouted (6216) by the number of days (119). 6216 ÷ 119 = 52 ### Answer: 52
Expected answer: 888/17
Correct? No
Problem: A dog food factory distributed 91,104 cans of dog food uniformly over 52 weeks. How many cans of dog food did they distribute per week?
Llama 3 8B:
Reasoning: To find the number of cans of dog food distributed per week, we need to divide the total number of cans (91,104) by the number of weeks (52). 91,104 ÷ 52 = 1752 ### Answer: 1752
Expected answer: 1752
Correct? Yes
Problem: Following the previous question, now consider that the same dog food factory distributed a different brand of dog food, this time totaling 5,981 cans, uniformly over the same 52 weeks. How many cans of this different brand of dog food did they distribute per week?
Llama 3 8B:
Reasoning: To find the number of cans of this different brand of dog food distributed per week, we need to divide the total number of cans (5,981) by the number of weeks (52). 5,981 ÷ 52 = 115 ### Answer: 115
Expected answer: 5981/52
Correct? No
Problem: A blanket manufacturing company has 19944 yards of fabric. They use the same amount of fabric to produce each blanket, and from this total amount of fabric, they can make 18 blankets. How many yards of fabric is used for each blanket?
Llama 3 8B:
Reasoning: The total amount of fabric is 19944 yards. The number of blankets that can be made is 18. To find the amount of fabric used for each blanket, we can divide the total amount of fabric by the number of blankets. 19944 yards ÷ 18 blankets = 1111.33 yards Since we can't use a fraction of a yard of fabric, we round up to the nearest whole number to ensure that each blanket has enough fabric. 1111.33 yards → 1112 yards ### Answer: 1112 yards.
Expected answer: 1108
Correct? No
Problem: A farmer has harvested a total of 45764 potatoes from his 2692 plants. On average, how many potatoes does each plant produce?
Llama 3 8B:
Reasoning: To find the average number of potatoes each plant produces, we need to divide the total number of potatoes (45764) by the number of plants (2692). 45764 ÷ 2692 = 17 ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Following up on the previous scenario, the farmer discovered that he actually harvested a total of 7664 potatoes, not 45764. With the same number of plants (2692), what would be the new average of potatoes each plant produces?
Llama 3 8B:
Reasoning: Since the total number of potatoes harvested is now 7664, we need to recalculate the average number of potatoes each plant produces. 7664 ÷ 2692 = 2.85 ### Answer: 2.85
Expected answer: 1916/673
Correct? No
Problem: A marshmallow factory produced 85560 marshmallows in 713 hours. If the factory produces the same amount every hour, how many marshmallows are made each hour?
Llama 3 8B:
Reasoning: The total number of marshmallows produced is 85560. The total number of hours is 713. To find the number of marshmallows produced per hour, we can divide the total number of marshmallows by the total number of hours: 85560/713 = 120. ### Answer: 120
Expected answer: 120
Correct? Yes
Problem: In the same marshmallow factory, another batch of marshmallows was made over a longer production period. This time, 85560 marshmallows were produced in 7544 hours. If the factory produces the same amount each hour during this period, how many marshmallalls were made each hour now?
Llama 3 8B:
Reasoning: The total number of marshmallows produced is 85560. The total number of hours is 7544. To find the number of marshmallows produced per hour, we can divide the total number of marshmallows by the total number of hours: 85560/7544 = 11.35. ### Answer: 11.35
Expected answer: 465/41
Correct? No
Problem: On a farm, there is a total area of 49,928 square meters to plant crops. If this area is divided into uniform plots of 6,241 square meters each, how many plots are there on the farm?
Llama 3 8B:
Reasoning: To find the number of plots, we can divide the total area by the area of each plot. 49,928 ÷ 6,241 = ? To divide the numbers, we can divide the numbers by multiplying the divisor (6,241) by itself the number of times it fits into the dividend (49,928), and then subtract the product from the dividend as many times as possible. 6,241 × 8 = 49,928 Since the product is equal to the dividend, we can stop here. Therefore, the number of plots is: 8 ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Instead of subdividing the total area of 49,928 square meters into plots of 6,241 square meters each, the farmer decides to subdivide it into smaller plots, each measuring 23 square meters. How many plots are there on the farm now?
Llama 3 8B:
Reasoning: To find the number of plots, we can divide the total area by the area of each plot. 49,928 ÷ 23 = ? To divide the numbers, we can divide the numbers by multiplying the divisor (23) by itself the number of times it fits into the dividend (49,928), and then subtract the product from the dividend as many times as possible. 23 × 216 = 49,928 Since the product is equal to the dividend, we can stop here. Therefore, the number of plots is: 216 ### Answer: 216
Expected answer: 49928/23
Correct? No
Problem: A baker used 62118 grams of flour to make cookies over the course of 2142 days. How many grams of flour were used to make cookies each day?
Llama 3 8B:
Reasoning: To find the amount of flour used per day, we need to divide the total amount of flour used (62118 grams) by the number of days (2142 days). 62118 grams ÷ 2142 days = 29 grams per day ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: The baker realized that he actually used a total of 62118 grams of flour over the course of 2755 days, not 2142 days as previously thought. How does the daily use of flour for cookies change with this correction?
Llama 3 8B:
Reasoning: With the corrected number of days (2755), we can recalculate the daily use of flour: 62118 grams ÷ 2755 days = 22.5 grams per day ### Answer: 22.5
Expected answer: 2142/95
Correct? No
Problem: A shoemaker has 91100 centimeters of shoelaces and he distributes them equally in 3644 pairs of shoes. How many centimeters of shoelace does each pair get?
Llama 3 8B:
Reasoning: The shoemaker has 91100 centimeters of shoelaces and distributes them equally in 3644 pairs of shoes. To find the amount of shoelace each pair gets, we can divide the total amount of shoelaces by the number of pairs: 91100 ÷ 3644 = 25 So each pair of shoes gets 25 centimeters of shoelace. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If the shoemaker only had 9498 pairs of shoes but the same amount of shoelace (91100 centimeters), how many centimeters of shoelace would each pair get then?
Llama 3 8B:
Reasoning: The shoemaker has the same amount of shoelaces (91100 centimeters) but now distributes them among 9498 pairs of shoes. To find the amount of shoelace each pair gets, we can divide the total amount of shoelaces by the new number of pairs: 91100 ÷ 9498 = 9.6 So each pair of shoes would get 9.6 centimeters of shoelace. ### Answer: 9.6
Expected answer: 45550/4749
Correct? No
Problem: A farmer harvests 505 bushels of apples and equally distributes them into 5 bins. How many bushels of apples does each bin contain?
Llama 3 8B:
Reasoning: To find the number of bushels of apples in each bin, we can divide the total number of bushels (505) by the number of bins (5). 505 ÷ 5 = 101 So, each bin contains 101 bushels of apples. ### Answer: 101
Expected answer: 101
Correct? Yes
Problem: The farmer has now harvested a bigger lot of 7798 bushels of apples and once again distributes them equally into 5 bins. Now, how many bushels of apples does each bin contain?
Llama 3 8B:
Reasoning: To find the number of bushels of apples in each bin, we can divide the total number of bushels (7798) by the number of bins (5). 7798 ÷ 5 = 1559.6 Since we can't have a fraction of a bushel, we round down to the nearest whole number. 1559.6 → 1559 So, each bin contains 1559 bushels of apples. ### Answer: 1559
Expected answer: 7798/5
Correct? No
Problem: At a party, there were a total of 65325 confetti pieces and they were equally spread across 5025 square feet of area. How many confetti pieces were there per square foot?
Llama 3 8B:
Reasoning: To find the number of confetti pieces per square foot, we need to divide the total number of confetti pieces (65325) by the total area (5025 square feet). 65325 ÷ 5025 = 13 ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: What if instead, the total confetti pieces at the party were spread across 9944 square feet of area instead of 5025? How many confetti pieces would be there per square foot in that case?
Llama 3 8B:
Reasoning: If the total confetti pieces are still 65325, but the area is now 9944 square feet, we can divide the total number of confetti pieces by the new area to find the number of confetti pieces per square foot. 65325 ÷ 9944 = 6.57 ### Answer: 6.57
Expected answer: 65325/9944
Correct? No
Problem: A crayon factory produced 26691 crayons which are evenly distributed into 123 boxes. How many crayons are there in each box?
Llama 3 8B:
Reasoning: To find the number of crayons in each box, we can divide the total number of crayons (26691) by the number of boxes (123). 26691 ÷ 123 = 216.75 Since we can't have a fraction of a crayon, we round down to the nearest whole number. 216 ### Answer: 216
Expected answer: 217
Correct? No
Problem: A firefighter unit extinguished a total of 45843 fires over the course of 413 weeks. If the firefighter unit extinguished the same number of fires each week, how many fires did they extinguish per week?
Llama 3 8B:
Reasoning: To find the number of fires extinguished per week, we can divide the total number of fires (45843) by the number of weeks (413). 45843 ÷ 413 = 111 ### Answer: 111
Expected answer: 111
Correct? Yes
Problem: Following the previous scenario of the firefighter unit, suppose the total number of fires they actually extinguished over the period was 45843, but the time frame was 4913 weeks instead of 413 weeks. If they extinguished the same number of fires each week, how many fires did they extinguish per week now?
Llama 3 8B:
Reasoning: To find the number of fires extinguished per week, we can divide the total number of fires (45843) by the new number of weeks (4913). 45843 ÷ 4913 = 9 ### Answer: 9
Expected answer: 45843/4913
Correct? No
Problem: A park is 57546 square meters large and is divided into 9591 identical sections. What is the area of each section in square meters?
Llama 3 8B:
Reasoning: To find the area of each section, we need to divide the total area of the park (57546 square meters) by the number of sections (9591). 57546 ÷ 9591 = <<57546/9591=6>>6 So, the area of each section is 6 square meters. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After re-evaluating the park layout, the park authority has decided to divide the 57546 square meter park into 131 identical sections instead of 9591. What is the area of each section in square meters now?
Llama 3 8B:
Reasoning: Since the total area of the park remains the same (57546 square meters), we can divide it by the new number of sections (131) to find the area of each section. 57546 ÷ 131 = <<57546/131=440>>440 So, the area of each section is now 440 square meters. ### Answer: 440
Expected answer: 57546/131
Correct? No
Problem: A toothpaste company produced 93822 tubes of toothpaste using 4938 boxes of raw materials. If each box of raw materials can produce the same amount of toothpaste tubes, how many toothpaste tubes are generated from one box of raw materials?
Llama 3 8B:
Reasoning: Let's divide the total number of toothpaste tubes produced (93822) by the number of boxes of raw materials used (4938) to find the number of toothpaste tubes generated from one box of raw materials. 93822 ÷ 4938 = 19 ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Suppose the toothpaste company changes its manufacturing process and is now able to produce only 9206 tubes of toothpaste with the same 4938 boxes of raw materials. If each box of raw materials still produces the same number of toothpaste tubes, how many toothpaste tubes are now generated from one box of raw materials?
Llama 3 8B:
Reasoning: Let's divide the new total number of toothpaste tubes produced (9206) by the same number of boxes of raw materials used (4938) to find the number of toothpaste tubes generated from one box of raw materials. 9206 ÷ 4938 = 1.86 ### Answer: 1.86
Expected answer: 4603/2469
Correct? No
Problem: A park's Jungle gym is used by a total of 40740 children over the span of 84 days. If the Jungle gym is used by the same number of kids each day, how many children use the Jungle gym each day?
Llama 3 8B:
Reasoning: The total number of children who used the Jungle gym is 40740. The number of days the Jungle gym was used is 84. To find the number of children who used the Jungle gym each day, we can divide the total number of children by the number of days: 40740/84 = <<40740/84=485>>. ### Answer: 485
Expected answer: 485
Correct? Yes
Problem: Imagine now that over a period of 84 days, 8576 children use the park's Jungle gym instead of 40740 children. If the Jungle gym is used equally by kids each day, how many children are now using the Jungle gym per day?
Llama 3 8B:
Reasoning: The total number of children who used the Jungle gym is 8576. The number of days the Jungle gym was used is 84. To find the number of children who used the Jungle gym each day, we can divide the total number of children by the number of days: 8576/84 = <<8576/84=102>>. ### Answer: 102
Expected answer: 2144/21
Correct? No
Problem: A snowman competition uses 39482 cc (cubic centimeters) of snow to make 38 identical snowmen. How many cubic centimeters of snow are used for each snowman?
Llama 3 8B:
Reasoning: To find the amount of snow used for each snowman, we can divide the total amount of snow used (39482 cc) by the number of snowmen (38). 39482 cc ÷ 38 = 1037.26 cc So, approximately 1037.26 cubic centimeters of snow are used for each snowman. ### Answer: 1037.26
Expected answer: 1039
Correct? No
Problem: A large window spanning 67673 square inches is being divided into 1147 equally sized smaller squares. Find the area in square inches of each of these smaller squares.
Llama 3 8B:
Reasoning: To find the area of each smaller square, we need to divide the total area of the window (67673 square inches) by the number of smaller squares (1147). Let's divide the total area by the number of smaller squares: 67673 ÷ 1147 = 59 So, each smaller square has an area of 59 square inches. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: If the large window instead spanned a smaller area of 7562 square inches, and it is still being divided into 1147 equally sized smaller squares, now what would be the area in square inches of each of these smaller squares?
Llama 3 8B:
Reasoning: Since the total area of the window is now 7562 square inches, and we still have 1147 smaller squares, we can divide the total area by the number of smaller squares to find the area of each smaller square: 7562 ÷ 1147 = 6.6 So, each smaller square has an area of 6.6 square inches. ### Answer: 6.6
Expected answer: 7562/1147
Correct? No
Problem: A farmer has a large field of orange trees. In total, the trees produce 49,920 oranges. If the oranges are evenly distributed among the 195 trees, how many oranges does each tree produce?
Llama 3 8B:
Reasoning: To find the number of oranges each tree produces, we need to divide the total number of oranges (49,920) by the number of trees (195). 49,920 ÷ 195 = 256 ### Answer: 256
Expected answer: 256
Correct? Yes
Problem: Now, the farmer decided to distribute the same total number of 49,920 oranges but now only among 9,289 of his best-performing trees. How many oranges does each of these selected trees produce?
Llama 3 8B:
Reasoning: To find the number of oranges each of the selected trees produces, we need to divide the total number of oranges (49,920) by the number of selected trees (9,289). 49,920 ÷ 9,289 = 5.36 ### Answer: 5.36
Expected answer: 49920/9289
Correct? No
Problem: A consumption study found that 34160 children had a sandwich for lunch out of the total 4270 schools in the country. If every school has an equal number of children, how many children in each school had a sandwich for lunch?
Llama 3 8B:
Reasoning: To find the number of children in each school, we need to divide the total number of children who had a sandwich (34160) by the total number of schools (4270). 34160 ÷ 4270 = 8 ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In the same consumption study, it was later revealed that the actual number of children who had a sandwich for lunch is 34160, but among a total of 7823 schools in the country. With this revised information, how many children in each school had a sandwich for lunch now?
Llama 3 8B:
Reasoning: With the revised information, we need to divide the total number of children who had a sandwich (34160) by the new total number of schools (7823). 34160 ÷ 7823 = 4.36 ### Answer: 4.36
Expected answer: 34160/7823
Correct? No
Problem: A toothpaste tube contains 3366 grams of paste and each brushing uses an average of 306 grams. How many times can you brush your teeth with this tube of toothpaste?
Llama 3 8B:
Reasoning: To find out how many times you can brush your teeth with this tube of toothpaste, we need to divide the total amount of toothpaste (3366 grams) by the amount used per brushing (306 grams). 3366 grams (total) ÷ 306 grams (per brushing) = 11 ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Consider the previous toothpaste problem, but this time, the toothpaste tube contains 9060 grams of paste. How many times can you now brush your teeth with this tube of toothpaste if each brushing still uses an average of 306 grams?
Llama 3 8B:
Reasoning: To find out how many times you can brush your teeth with this tube of toothpaste, we need to divide the total amount of toothpaste (9060 grams) by the amount used per brushing (306 grams). 9060 grams (total) ÷ 306 grams (per brushing) = 29.5 Since you can't brush a fraction of a time, we round down to the nearest whole number. ### Answer: 29
Expected answer: 1510/51
Correct? No
Problem: A textile factory produces 49742 towels, evenly distributed among 1309 boxes. How many towels are in each box?
Llama 3 8B:
Reasoning: To find the number of towels in each box, we can divide the total number of towels (49742) by the number of boxes (1309). 49742 ÷ 1309 = 38 ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: Now consider that the textile factory actually produced 8337 towels, still evenly distributed among 1309 boxes. How many towels are now in each box?
Llama 3 8B:
Reasoning: To find the number of towels in each box, we can divide the total number of towels (8337) by the number of boxes (1309). 8337 ÷ 1309 = 6 ### Answer: 6
Expected answer: 1191/187
Correct? No
Problem: An alien civilization sends 43134 messages over a period of 3318 Earth days. If they send exactly the same number of messages each day, how many messages do they send per day?
Llama 3 8B:
Reasoning: To find the number of messages sent per day, we can divide the total number of messages (43134) by the number of days (3318). 43134 ÷ 3318 = 13 ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Instead of 3318 Earth days, consider that the alien civilization uses a different form of time measurement, where each of their "days" represents 8212 of our Earth days. In this scenario, if they were still sending 43134 messages throughout this period, how many messages would they be sending per their "day"?
Llama 3 8B:
Reasoning: Since each of their "days" represents 8212 of our Earth days, we need to convert the total number of Earth days to their "days". We can do this by dividing the total number of Earth days (3318) by the number of Earth days in one of their "days" (8212). 3318 ÷ 8212 = 0.405 This means that the alien civilization uses approximately 0.405 of their "days" to equal 1 Earth day. To find the total number of their "days", we can multiply the total number of Earth days by this conversion factor: 3318 × 0.405 = 1343.31 Since we can't send a fraction of a message, we'll round down to the nearest whole number. This gives us approximately 1343 "days". Now, we can find the number of messages sent per their "day" by dividing the total number of messages (43134) by the total number of their "days" (1343): 43134 ÷ 1343 = 32.03 Rounding down to the nearest whole number, the alien civilization sends approximately 32 messages per their "day". ### Answer: 32
Expected answer: 21567/4106
Correct? No
Problem: A school district has 80,011 students who are equally distributed across 31 school buses. How many students are there per bus?
Llama 3 8B:
Reasoning: To find the number of students per bus, we can divide the total number of students (80,011) by the number of buses (31). 80,011 ÷ 31 = 2,578 ### Answer: 2,578
Expected answer: 2581
Correct? No
Problem: A camera store sold 54020 cameras over a period of 730 days. If they sell the same number of cameras each day, how many cameras are sold daily?
Llama 3 8B:
Reasoning: To find the number of cameras sold daily, we can divide the total number of cameras sold (54020) by the number of days (730). 54020 ÷ 730 = 74 ### Answer: 74
Expected answer: 74
Correct? Yes
Problem: After a successful marketing campaign, the camera store's sales increased, and they were able to sell 54020 cameras in just 5546 days. If they still sold the same number of cameras each day, how many cameras are now sold daily?
Llama 3 8B:
Reasoning: To find the number of cameras sold daily, we can divide the total number of cameras sold (54020) by the number of days (5546). 54020 ÷ 5546 = 9.72 ### Answer: 10 (since you can't sell a fraction of a camera)
Expected answer: 27010/2773
Correct? No
Problem: An ice cream factory makes 25774 liters of ice cream that were packed into 526 containers evenly. How many liters of ice cream does each container accommodate?
Llama 3 8B:
Reasoning: To find the number of liters of ice cream each container accommodates, we need to divide the total number of liters of ice cream (25774) by the number of containers (526). 25774 ÷ 526 = 49 ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Instead of packing the 25774 liters of ice cream into 526 containers, the factory decides to use only 418 containers. If they divide the ice cream evenly among these containers, how many liters of ice cream does each container now accommodate?
Llama 3 8B:
Reasoning: Since the total number of liters of ice cream remains the same (25774), we can divide it by the new number of containers (418) to find the number of liters each container now accommodates. 25774 ÷ 418 = 62 ### Answer: 62
Expected answer: 12887/209
Correct? No
Problem: A city's public transportation system logs a total of 85300 miles driven among its fleet of 3412 buses in a week. Assuming each bus travels the same distance, how many miles does each bus drive in a week?
Llama 3 8B:
Reasoning: Let's find the total distance each bus drives in a week. We can do this by dividing the total distance driven by the number of buses. 85300 miles / 3412 buses = <<85300/3412=25>>25 miles per bus. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: With the same fleet of 3412 buses, the city's public transportation system only logs a total of 3940 miles driven next week. If each bus shared the work evenly again, how many miles did each bus drive in this week?
Llama 3 8B:
Reasoning: Let's find the total distance each bus drives in this week. We can do this by dividing the total distance driven by the number of buses. 3940 miles / 3412 buses = <<3940/3412=1.15>>1.15 miles per bus. ### Answer: 1.15
Expected answer: 985/853
Correct? No
Problem: A wind turbine generates a total of 92250 kilowatts of energy over 75 hours. How much energy does it produce per hour?
Llama 3 8B:
Reasoning: To find the energy produced per hour, we need to divide the total energy produced (92250 kilowatts) by the number of hours (75 hours). 92250 kilowatts ÷ 75 hours = 1229.33 kilowatts per hour ### Answer: 1229.33 kilowatts per hour
Expected answer: 1230
Correct? No
Problem: A baby gained a total of 3734 grams over a span of 1867 days. How many grams did the baby gain daily on average?
Llama 3 8B:
Reasoning: To find the average daily gain, we need to divide the total gain (3734 grams) by the number of days (1867 days). 3734 grams ÷ 1867 days = 2 grams/day ### Answer: 2 grams/day
Expected answer: 2
Correct? Yes
Problem: Suppose the baby's weight gain was recalculated over a span of 1651 days. If the total weight gain was still 3734 grams, what would be the average daily weight gain now?
Llama 3 8B:
Reasoning: The total weight gain remains the same (3734 grams), but the number of days has changed (1651 days). To find the new average daily gain, we can divide the total gain by the new number of days: 3734 grams ÷ 1651 days = 2.27 grams/day ### Answer: 2.27 grams/day
Expected answer: 3734/1651
Correct? No
Problem: A firefighter uses a hose that releases 33,532 liters of water. If the hose releases the same amount of water each minute for 8,383 minutes, how many liters of water are released per minute?
Llama 3 8B:
Reasoning: The total amount of water released is 33,532 liters. Since the hose releases the same amount of water each minute, we can divide the total amount of water by the number of minutes to find the amount of water released per minute. 33,532 liters ÷ 8,383 minutes = 4 liters per minute ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If the firefighter instead uses a different hose that releases the same total amount of water, 33,532 liters, but this time it's over 7,845 minutes, how many liters of water are released per minute with this hose?
Llama 3 8B:
Reasoning: The total amount of water released is still 33,532 liters. Since the hose releases the same amount of water each minute, we can divide the total amount of water by the number of minutes to find the amount of water released per minute. 33,532 liters ÷ 7,845 minutes = 4.27 liters per minute ### Answer: 4.27
Expected answer: 33532/7845
Correct? No
Problem: A farmer collects eggs from her chickens. She collects a total of 96,120 eggs evenly from 20 chickens. How many eggs does each chicken contribute?
Llama 3 8B:
Reasoning: Since the eggs are collected evenly from 20 chickens, we can divide the total number of eggs (96,120) by the number of chickens (20) to find the number of eggs each chicken contributes. 96,120 ÷ 20 = 4,806 ### Answer: 4,806
Expected answer: 4806
Correct? Yes
Problem: The farmer realizes that she miscalculated and she actually collected a total of 96,120 eggs but it was from 9,046 chickens, not 20. How many eggs did each chicken actually contribute?
Llama 3 8B:
Reasoning: Since the total number of eggs remains the same (96,120), but the number of chickens has changed (9,046), we can divide the total number of eggs by the new number of chickens to find the number of eggs each chicken contributes. 96,120 ÷ 9,046 = 10.63 ### Answer: 10.63
Expected answer: 48060/4523
Correct? No
Problem: A town receives 11458 millimeters of rain over 17 days. How much rain does the town receive each day if it rains the same amount every day?
Llama 3 8B:
Reasoning: To find the amount of rain the town receives each day, we can divide the total amount of rain (11458 millimeters) by the number of days (17). 11458 ÷ 17 = 674.12 So, the town receives approximately 674.12 millimeters of rain each day. ### Answer: 674.12
Expected answer: 674
Correct? No
Problem: A pen factory produced 2526 pens in 842 hours. If they produced pens at an equal pace all the time, how many pens were produced every hour?
Llama 3 8B:
Reasoning: To find the number of pens produced per hour, we can divide the total number of pens produced (2526) by the total number of hours worked (842). 2526 ÷ 842 = 3 So, the pen factory produced 3 pens every hour. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If the pen factory had instead produced 2526 pens in 547 hours under the same even-paced conditions, how many pens would have been produced each hour?
Llama 3 8B:
Reasoning: To find the number of pens produced per hour, we can divide the total number of pens produced (2526) by the total number of hours worked (547). 2526 ÷ 547 = 4.63 So, the pen factory would have produced approximately 4.63 pens every hour. ### Answer: 4.63
Expected answer: 2526/547
Correct? No
Problem: A school decided to equally distribute 285 erasers among 19 classrooms. How many erasers does each classroom get?
Llama 3 8B:
Reasoning: To find out how many erasers each classroom gets, we need to divide the total number of erasers (285) by the number of classrooms (19). 285 ÷ 19 = 15 ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Initially a school decided to equally distribute 285 erasers among 19 classrooms. But later, the school received a donation and the total number of erasers increased to 4681. If these erasers are equally distributed among the same 19 classrooms, how many erasers does each classroom get now?
Llama 3 8B:
Reasoning: The total number of erasers increased to 4681, and there are still 19 classrooms. To find out how many erasers each classroom gets, we need to divide the new total number of erasers (4681) by the number of classrooms (19). 4681 ÷ 19 = 246 ### Answer: 246
Expected answer: 4681/19
Correct? No
Problem: A penguin slides down a glacier at a constant speed and covers a distance of 41020 feet in 5 hours. What is the penguin's speed in feet per hour?
Llama 3 8B:
Reasoning: The penguin's speed is the distance traveled divided by the time taken. In this case, the distance traveled is 41020 feet and the time taken is 5 hours. Speed = Distance / Time = 41020 feet / 5 hours = 8204 feet per hour ### Answer: 8204
Expected answer: 8204
Correct? Yes
Problem: In the last problem, the penguin covered a distance of 41020 feet in 5 hours. Now, consider a situation where the penguin only covered a distance of 4325 feet in the same 5 hours. What would be the penguin's speed in feet per hour in this new scenario?
Llama 3 8B:
Reasoning: The penguin's speed is the distance traveled divided by the time taken. In this case, the distance traveled is 4325 feet and the time taken is still 5 hours. Speed = Distance / Time = 4325 feet / 5 hours = 865 feet per hour ### Answer: 865
Expected answer: 865
Correct? Yes
Problem: A water company has a reservoir that can hold 63360 gallons of water. If the reservoir is divided into 576 equal sections, how many gallons of water does each section hold?
Llama 3 8B:
Reasoning: To find the number of gallons each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (576). 63360 ÷ 576 = <<63360/576=110>> ### Answer: 110
Expected answer: 110
Correct? Yes
Problem: Suppose instead the reservoir could hold 63360 gallons of water but now it's divided into 9999 equal sections. How many gallons of water does each section then hold?
Llama 3 8B:
Reasoning: To find the number of gallons each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (9999). 63360 ÷ 9999 = <<63360/9999=6.33>> ### Answer: 6.33
Expected answer: 640/101
Correct? No
Problem: A fashion company made a total of 21868 skirts distributed equally among 77 stores. How many skirts did each store get?
Llama 3 8B:
Reasoning: To find the number of skirts each store got, we need to divide the total number of skirts (21868) by the number of stores (77). 21868 ÷ 77 = 284 ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: A TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period. On average, how many minutes of advertisements are shown each day?
Llama 3 8B:
Reasoning: To find the average number of minutes of advertisements shown each day, we need to divide the total number of minutes of advertisements (56109) by the number of days (59). 56109 ÷ 59 = <<56109/59=949>> ### Answer: 949
Expected answer: 951
Correct? No
Problem: A teacher marks a total of 59748 marks distributed evenly over 1149 exam papers. How many marks are in each exam paper?
Llama 3 8B:
Reasoning: To find the number of marks in each exam paper, we need to divide the total number of marks (59748) by the number of exam papers (1149). 59748 ÷ 1149 = 52 ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: If the teacher, instead of marking 59748 marks, marked a total of 7117 marks distributed evenly over the same 1149 exam papers, how many marks would be in each exam paper now?
Llama 3 8B:
Reasoning: To find the number of marks in each exam paper, we need to divide the new total number of marks (7117) by the same number of exam papers (1149). 7117 ÷ 1149 = 6 ### Answer: 6
Expected answer: 7117/1149
Correct? No
Problem: A reservoir holds 44840 liters of water. If this water is equally distributed across 76 houses in a village, how many liters of water will each house get?
Llama 3 8B:
Reasoning: To find out how many liters of water each house will get, we need to divide the total amount of water (44840 liters) by the number of houses (76). 44840 ÷ 76 = 590 ### Answer: 590
Expected answer: 590
Correct? Yes
Problem: Suppose the reservoir now has 6614 houses to supply. If the reservoir still holds 44840 liters of water, how many liters can be distributed to each house?
Llama 3 8B:
Reasoning: To find out how many liters of water each house can get, we need to divide the total amount of water (44840 liters) by the number of houses (6614). 44840 ÷ 6614 = 6.78 ### Answer: 6.78
Expected answer: 22420/3307
Correct? No
Problem: A butterfly during its lifetime lay 5385 eggs, and she spread these eggs evenly across 359 flowers. How many eggs did she lay on each flower?
Llama 3 8B:
Reasoning: To find the number of eggs on each flower, we need to divide the total number of eggs (5385) by the number of flowers (359). 5385 ÷ 359 = 15 ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Suppose the butterfly had instead spread a total of 9710 eggs across the same 359 flowers. How many eggs did she lay on each flower in this case?
Llama 3 8B:
Reasoning: To find the number of eggs on each flower, we need to divide the total number of eggs (9710) by the number of flowers (359). 9710 ÷ 359 = 27 ### Answer: 27
Expected answer: 9710/359
Correct? No
Problem: A camera has a total of 95038 pixels divided evenly into 61 rows. How many pixels are there in each row?
Llama 3 8B:
Reasoning: To find the number of pixels in each row, we can divide the total number of pixels (95038) by the number of rows (61). 95038 ÷ 61 = 1561 ### Answer: 1561
Expected answer: 1558
Correct? No
Problem: An ice cream factory produces a total of 45580 cones of ice cream over a period of 53 days. If the ice cream cones are produced uniformly across these days, how many ice cream cones are made each day?
Llama 3 8B:
Reasoning: To find the number of ice cream cones produced each day, we need to divide the total number of cones produced (45580) by the number of days (53). 45580 ÷ 53 = 858 ### Answer: 858
Expected answer: 860
Correct? No
Problem: A textile factory produces 36135 square inches of towel fabric that is divided evenly among 219 towels. How many square inches of fabric is each towel?
Llama 3 8B:
Reasoning: To find the number of square inches of fabric each towel gets, we need to divide the total number of square inches (36135) by the number of towels (219). 36135 ÷ 219 = 164.5 So each towel gets 164.5 square inches of fabric. ### Answer: 164.5
Expected answer: 165
Correct? No
Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?
Llama 3 8B:
Reasoning: To find the energy burned in one hour, we need to divide the total energy burned (36300 kilojoules) by the number of hours (4 hours). 36300 kilojoules ÷ 4 hours = 9075 kilojoules per hour ### Answer: 9075
Expected answer: 9075
Correct? Yes
Problem: In another scenario, a different fireplace burns 8712 kilojoules of energy in 4 hours. Assuming it also burns energy at a constant rate, how much energy does this fireplace burn in one hour?
Llama 3 8B:
Reasoning: Since the fireplace burns energy at a constant rate, we can divide the total energy burned (8712 kilojoules) by the number of hours (4 hours) to find the energy burned per hour. 8712 kilojoules ÷ 4 hours = 2183 kilojoules per hour ### Answer: 2183
Expected answer: 2178
Correct? No
Problem: A snowman-making competition has 9 teams, each of them was provided an equal amount of snow weighing up to 51156 kilograms in total. How much snow, in kilograms, did each team get to make their snowman?
Llama 3 8B:
Reasoning: The total amount of snow is 51156 kilograms. Since there are 9 teams, we can divide the total amount of snow by 9 to find out how much each team got. 51156 ÷ 9 = 5684 ### Answer: 5684
Expected answer: 5684
Correct? Yes
Problem: Suppose instead of 51156 kilograms of snow, only 6407 kilograms of snow was available for the same 9 teams in the snowman-making competition. How much snow, in kilograms, would each team get to make their snowman now?
Llama 3 8B:
Reasoning: The total amount of snow is 6407 kilograms. Since there are 9 teams, we can divide the total amount of snow by 9 to find out how much each team got. 6407 ÷ 9 = 712 ### Answer: 712
Expected answer: 6407/9
Correct? No
Problem: An apple orchard yielded a total of 56250 apples. Over the course of 30 days, they managed to harvest the same number of apples every day. How many apples were harvested each day?
Llama 3 8B:
Reasoning: To find the number of apples harvested each day, we need to divide the total number of apples (56250) by the number of days (30). 56250 ÷ 30 = 1875 ### Answer: 1875
Expected answer: 1875
Correct? Yes
Problem: Instead of the original 30 days, the workers actually took 3028 days to harvest a total of 56250 apples, harvesting the same number of apples every day. In light of this new information, how many apples were actually harvested each day?
Llama 3 8B:
Reasoning: Since the total number of apples remains the same (56250), but the number of days has increased to 3028, we need to divide the total number of apples by the new number of days to find the number of apples harvested each day. 56250 ÷ 3028 = 18.57 ### Answer: 18
Expected answer: 28125/1514
Correct? No
Problem: A baby spoke her first word after 82992 seconds of being awake in her life. If one day is considered 1729 seconds, after how many days did she speak her first word?
Llama 3 8B:
Reasoning: Let's convert the total number of seconds the baby was awake to days. We can divide 82992 seconds by 1729 seconds per day to get the number of days. 82992 ÷ 1729 = 48 ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Considering the baby from the previous problem, suppose now that she spoke her first word after being awake for a shorter time of 8741 seconds. Keeping our day duration constant at 1729 seconds, after how many days in this scenario did she speak her first word?
Llama 3 8B:
Reasoning: Let's convert the new total number of seconds the baby was awake to days. We can divide 8741 seconds by 1729 seconds per day to get the number of days. 8741 ÷ 1729 = 5 ### Answer: 5
Expected answer: 8741/1729
Correct? No
Problem: A map has a scale of 91368 centimeters representing 216 kilometers. How many centimeters on the map represent 1 kilometer in real life?
Llama 3 8B:
Reasoning: We can find the ratio of the distance on the map to the real-life distance by dividing the distance on the map (91368 cm) by the real-life distance (216 km). Since there are 1000 meters in a kilometer, we can convert the real-life distance to centimeters by multiplying by 1000: 216 km * 1000 m/km * 100 cm/m = 21600000 cm. Now, we can find the ratio: 91368 cm / 21600000 cm = 0.0422. This means that 1 kilometer in real life is represented by 0.0422 centimeters on the map. To find the number of centimeters that represent 1 kilometer, we can invert this ratio: 1 / 0.0422 = 23.67. ### Answer: 24 (rounded to the nearest whole number)
Expected answer: 423
Correct? No
Problem: A fashion designer plans to use 33536 beads to embellish a dress uniformly across 131 different sections. How many beads will be used for each section?
Llama 3 8B:
Reasoning: To find the number of beads used for each section, we need to divide the total number of beads (33536) by the number of sections (131). 33536 ÷ 131 = 256 ### Answer: 256
Expected answer: 256
Correct? Yes
Problem: Now, imagine that the fashion designer decides to use the same total number of 33536 beads, but wants to distribute them uniformly over a larger number of sections. If they decides to spread these beads over 3206 different sections on the dress, how many beads will there be in each section?
Llama 3 8B:
Reasoning: To find the number of beads used for each section, we need to divide the total number of beads (33536) by the new number of sections (3206). 33536 ÷ 3206 = 10.5 ### Answer: 10.5
Expected answer: 16768/1603
Correct? No
Problem: A firefighter sprays 69966 gallons of water on a fire in 299 minutes. If the firefighter sprays the same amount of water every minute, how many gallons does he spray each minute?
Llama 3 8B:
Reasoning: The firefighter sprays a total of 69966 gallons of water in 299 minutes. To find out how many gallons he sprays each minute, we can divide the total amount of water by the number of minutes. 69966 ÷ 299 = 234.02 So, the firefighter sprays approximately 234.02 gallons of water each minute. ### Answer: 234.02
Expected answer: 234
Correct? No
Problem: The latest model of window that a company has designed will require 6354 square inches of glass material. The manufacturer's current stock can cover 2118 same-sized windows. How many square inches of glass are required for a single window?
Llama 3 8B:
Reasoning: The total amount of glass material required is 6354 square inches. The manufacturer's current stock can cover 2118 same-sized windows. To find the amount of glass material required for a single window, we can divide the total amount of glass material by the number of windows the stock can cover. 6354 ÷ 2118 = 3 So, the manufacturer requires 3 square inches of glass material for a single window. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: After revising their design slightly, the company now finds that they will only need 6354 square inches of glass material to produce 6122 of the new model of windows. How many square inches of glass are now required for each of the new model windows?
Llama 3 8B:
Reasoning: The total amount of glass material required is 6354 square inches. The number of windows that can be produced with this amount of glass material is 6122. To find the amount of glass material required for each window, we can divide the total amount of glass material by the number of windows. 6354 ÷ 6122 = 1.04 So, the company now requires approximately 1.04 square inches of glass material for each of the new model windows. ### Answer: 1.04
Expected answer: 3177/3061
Correct? No
Problem: A frog jumps a total of 12288 centimeters in 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog jump per jump?
Llama 3 8B:
Reasoning: The total distance the frog jumps is 12288 centimeters. The number of jumps is 512. To find the distance the frog jumps per jump, we can divide the total distance by the number of jumps. 12288 ÷ 512 = 24 ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After practicing for a while, the frog now jumps a total of 9064 centimeters in the same 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog now jump per jump?
Llama 3 8B:
Reasoning: The total distance the frog jumps is now 9064 centimeters. The number of jumps is still 512. To find the distance the frog jumps per jump, we can divide the total distance by the number of jumps. 9064 ÷ 512 = 17.67 ### Answer: 17.67
Expected answer: 1133/64
Correct? No
Problem: A gardener planted a total of 1392 flowers evenly into 116 pots. How many flowers are there in each pot?
Llama 3 8B:
Reasoning: To find the number of flowers in each pot, we can divide the total number of flowers (1392) by the number of pots (116). 1392 ÷ 116 = 12 So, there are 12 flowers in each pot. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead of planting a total of 1392 flowers, the gardener planted a total of 7275 flowers evenly into the 116 pots, then how many flowers would there be in each pot now?
Llama 3 8B:
Reasoning: To find the number of flowers in each pot, we can divide the new total number of flowers (7275) by the number of pots (116). 7275 ÷ 116 = 63 So, there would be 63 flowers in each pot now. ### Answer: 63
Expected answer: 7275/116
Correct? No
Problem: An ice cream shop sold a total of 31,176 scoops of ice cream over 9 weeks. How many scoops of ice cream did they sell each week?
Llama 3 8B:
Reasoning: To find the number of scoops sold each week, we can divide the total number of scoops sold (31,176) by the number of weeks (9). 31,176 ÷ 9 = 3,456 ### Answer: 3,456
Expected answer: 3464
Correct? No
Problem: A very active mouse runs 14824 meters in 4 hours. If he runs at a constant rate, how many meters per hour does he run?
Llama 3 8B:
Reasoning: The mouse runs a total of 14824 meters in 4 hours. To find the rate at which the mouse runs, we can divide the total distance by the time. 14824 meters / 4 hours = 3711 meters per hour. ### Answer: 3711
Expected answer: 3706
Correct? No
Problem: In a large monkey sanctuary, there are 88,508 bananas to be split evenly among 406 monkeys. If every monkey will receive an equal number of bananas, how many bananas would each monkey get?
Llama 3 8B:
Reasoning: To find out how many bananas each monkey will get, we need to divide the total number of bananas (88,508) by the number of monkeys (406). 88,508 ÷ 406 = ? To divide a large number by a smaller number, we can use long division or a calculator. Let's use a calculator: 88,508 ÷ 406 = 218 So, each monkey will receive 218 bananas. ### Answer: 218
Expected answer: 218
Correct? Yes
Problem: What if the sanctuary in the previous problem had only 9,073 bananas instead of 88,508? How many bananas would each monkey get then, if they still had to be split evenly among the 406 monkeys?
Llama 3 8B:
Reasoning: We can use the same method as before to find out how many bananas each monkey would get. We'll divide the new total number of bananas (9,073) by the number of monkeys (406). 9,073 ÷ 406 = ? Using a calculator: 9,073 ÷ 406 = 22 So, each monkey would receive 22 bananas. ### Answer: 22
Expected answer: 9073/406
Correct? No
Problem: A furniture maker has a large order placed by a hotel owner for tables. The order is for 15110 table legs, making the assumption that each table will have 2 legs. How many tables is the hotel owner ordering?
Llama 3 8B:
Reasoning: Since each table has 2 legs, the total number of legs is equal to the number of tables multiplied by 2. Let's say the number of tables is x. Then, we can set up the equation: 2x = 15110 To solve for x, we can divide both sides by 2: x = 15110/2 x = 7555 So, the hotel owner is ordering 7555 tables. ### Answer: 7555
Expected answer: 7555
Correct? Yes
Problem: The furniture maker later realizes that there was a mistake in the initial order, and the hotel owner actually only wanted 3774 table legs, with each table having 2 legs. With this corrected order, how many tables is the hotel owner actually ordering?
Llama 3 8B:
Reasoning: Since each table has 2 legs, the total number of legs is equal to the number of tables multiplied by 2. Let's say the number of tables is x. Then, we can set up the equation: 2x = 3774 To solve for x, we can divide both sides by 2: x = 3774/2 x = 1887 So, the hotel owner is actually ordering 1887 tables. ### Answer: 1887
Expected answer: 1887
Correct? Yes
Problem: A hat maker has 3560 feathers which will be used to decorate hats. If each hat will have 890 feathers, how many hats can be made?
Llama 3 8B:
Reasoning: The hat maker has 3560 feathers. Each hat requires 890 feathers. To find out how many hats can be made, we can divide the total number of feathers by the number of feathers required per hat. 3560 ÷ 890 = 4 So, the hat maker can make 4 hats. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous scenario, suppose the hat maker did not have 3560 feathers, but only had 1416 feathers instead. If each hat will still have 890 feathers, how many hats can be produced now?
Llama 3 8B:
Reasoning: The hat maker has 1416 feathers. Each hat requires 890 feathers. To find out how many hats can be made, we can divide the total number of feathers by the number of feathers required per hat. 1416 ÷ 890 = 1.6 Since you can't make a fraction of a hat, we round down to the nearest whole number. 1.6 → 1 So, the hat maker can make 1 hat. ### Answer: 1
Expected answer: 708/445
Correct? No
Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?
Llama 3 8B:
Reasoning: Since the points are distributed equally over 3 players, we can divide the total number of points by 3 to find the number of points each player has. 17394 ÷ 3 = 5802 ### Answer: 5802
Expected answer: 5798
Correct? No
Problem: The central park covers a big land area of 3276 acres divided into 126 identical sections. How many acres does each section have?
Llama 3 8B:
Reasoning: To find the area of each section, we need to divide the total area of the central park (3276 acres) by the number of sections (126). 3276 acres ÷ 126 = 26 acres ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of the original size, the park was smaller, covering only 139 acres, but the sections remained the same, each with an equal area, how many acres would each section cover?
Llama 3 8B:
Reasoning: Since the number of sections remains the same (126), we can divide the new total area (139 acres) by the same number of sections to find the area of each section. 139 acres ÷ 126 = 1.11 acres ### Answer: 1.11
Expected answer: 139/126
Correct? No
Problem: A pants manufacturer has 54736 yards of fabric. If they are planning to make each pair of pants using the same amount of fabric and each will consume an equal portion of the total fabric, how many yards of fabric are needed for each pair if they intend to produce 11 pairs?
Llama 3 8B:
Reasoning: To find the amount of fabric needed for each pair, we need to divide the total amount of fabric (54736 yards) by the number of pairs (11). 54736 yards ÷ 11 pairs = 4964 yards per pair ### Answer: 4964
Expected answer: 4976
Correct? No
Problem: The minute hand of a clock rotates 49716 degrees throughout 18 hours. If the rotation is uniform, how many degrees does it rotate each hour?
Llama 3 8B:
Reasoning: The minute hand of a clock rotates 49716 degrees in 18 hours. To find the number of degrees it rotates each hour, we can divide the total number of degrees by the number of hours. 49716 ÷ 18 = <<49716/18=2764>>2764 ### Answer: 2764
Expected answer: 2762
Correct? No
Problem: A toy company has made 1865 stuffed animals spread over 373 different designs. If each design has the same number of stuffed animals, how many stuffed animals are there for each design?
Llama 3 8B:
Reasoning: To find the number of stuffed animals for each design, we can divide the total number of stuffed animals (1865) by the number of designs (373). 1865 ÷ 373 = 5 So, there are 5 stuffed animals for each design. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In an alternate scenario, the toy company made 2542 stuffed animals, still spread over 373 different designs. If each design had the same number of stuffed animals in this scenario, how many stuffed animals would there be for each design?
Llama 3 8B:
Reasoning: To find the number of stuffed animals for each design, we can divide the total number of stuffed animals (2542) by the number of designs (373). 2542 ÷ 373 = 6.83 Since we can't have a fraction of a stuffed animal, we round up to the nearest whole number. 6.83 → 7 So, there would be 7 stuffed animals for each design in this scenario. ### Answer: 7
Expected answer: 2542/373
Correct? No
Problem: A bear travels a total of 31470 feet in 30 days. If the bear travels the same distance each day, how many feet does it travel each day?
Llama 3 8B:
Reasoning: The bear travels a total of 31470 feet in 30 days. To find the distance the bear travels each day, we can divide the total distance by the number of days. 31470 feet ÷ 30 days = 1049 feet ### Answer: 1049
Expected answer: 1049
Correct? Yes
Problem: Considering our previous calculation, if a bear travels a total of 31470 feet but this time over 1406 days instead of 30 days and still travels the same distance each day, how many feet does it travel each day now?
Llama 3 8B:
Reasoning: The bear travels a total of 31470 feet in 1406 days. To find the distance the bear travels each day, we can divide the total distance by the number of days. 31470 feet ÷ 1406 days = 22.3 feet ### Answer: 22.3
Expected answer: 15735/703
Correct? No
Problem: A pen manufacturer produced 9636 pen units and distributed them equally among its 44 retailers. How many pen units did each retailer receive?
Llama 3 8B:
Reasoning: To find out how many pen units each retailer received, we need to divide the total number of pen units (9636) by the number of retailers (44). 9636 ÷ 44 = 218.36 Since we can't distribute a fraction of a pen unit, we'll round down to the nearest whole number. 218.36 → 218 ### Answer: 218
Expected answer: 219
Correct? No