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 70B:
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 we fill the ball (41 cubic centimeters per second). Time = Total Volume / Rate = 73841 cubic centimeters / 41 cubic centimeters/second = 73841 / 41 = 1801 seconds ### Answer: 1801 seconds
Expected answer: 1801
Correct? Yes
Problem: If we had a smaller beach ball that only required 1310 cubic centimeters of air to fully inflate, and we continue to fill it up at a rate of 41 cubic centimeters per second, how many seconds will it then take to inflate this smaller beach ball?
Llama 3 70B:
Reasoning: To find the time it takes to fully inflate the smaller beach ball, we need to divide the total volume of air needed (1310 cubic centimeters) by the rate at which we fill the ball (41 cubic centimeters per second). Time = Total Volume / Rate = 1310 cubic centimeters / 41 cubic centimeters/second = 1310 / 41 = 32 seconds ### Answer: 32 seconds
Expected answer: 1310/41
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 70B:
Reasoning: To find the number of liters of juice in each container, we need to divide the total amount of juice (73528 liters) by the number of containers (707). 73528 รท 707 = 104 So, there are 104 liters of juice in each container. ### 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 70B:
Reasoning: We need to find the total amount of juice produced by the company, which is the sum of the initial batch and the new batch. Total juice = Initial batch + New batch = 73528 + 2858 = 76386 liters Since the new batch is also filled into 707 containers, we can divide the total amount of juice by the number of containers to find the number of liters in each container. 76386 รท 707 = 108 So, there are 108 liters of juice in each container. ### 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 70B:
Reasoning: To find out how many pants each store received, we need to divide the total number of pants (87780) by the number of stores (110). 87780 รท 110 = 798 ### 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 70B:
Reasoning: To find out how many pants each store received, we need to divide the total number of pants (4003) by the number of stores (110). 4003 รท 110 = 36.39 (but since we can't divide pants into fractions, we'll round down to the nearest whole number) 36.39 โ 36 ### 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 70B:
Reasoning: To find the number of bundles, we need to divide the total number of carrots by the number of carrots in each bundle. Number of bundles = Total number of carrots รท Carrots per bundle = 71820 รท 684 = 105 ### Answer: 105
Expected answer: 105
Correct? Yes
Problem: Farmer Bob reconsiders and decides to increase the size of each bundle. If he now distributes his 71820 carrots into bundles of 2486 each, how many bundles will he have?
Llama 3 70B:
Reasoning: To find the number of bundles, we need to divide the total number of carrots by the new number of carrots in each bundle. Number of bundles = Total number of carrots รท Carrots per bundle = 71820 รท 2486 = 29 ### Answer: 29
Expected answer: 35910/1243
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 70B:
Reasoning: To find the daily usage rate, we need to divide the total number of times the slide was used (85860) by the number of days it was used (54). 85860 รท 54 = 1590 So, the slide has been used 1590 times per day. ### 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 70B:
Reasoning: To find the daily usage rate, we need to divide the total number of times the slide was used (9018) by the number of days it was used (54). 9018 รท 54 = 167 So, the slide has been used 167 times per day. ### 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 70B:
Reasoning: To find the number of inches of snow the ski resort receives each day, we need to divide the total amount of snowfall (31950 inches) by the number of days (225). 31950 รท 225 = 142 ### Answer: 142
Expected answer: 142
Correct? Yes
Problem: What if the snow was spread out not over 225 days, but over a period of 1814 days? How many inches of snow would the ski resort receive each day in this case?
Llama 3 70B:
Reasoning: To find the number of inches of snow the ski resort receives each day, we need to divide the total amount of snowfall (31950 inches) by the new number of days (1814). 31950 รท 1814 = 17.6 ### Answer: 17.6
Expected answer: 15975/907
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 70B:
Reasoning: To find the weight of each ring, we need to divide the total amount of gold (63802 grams) by the number of rings (38). 63802 รท 38 = 1679.53 (approximately) Since each ring must weigh exactly the same, we can round down to the nearest whole number to ensure that the total weight of gold is not exceeded. 1679.53 โ 1679 ### Answer: 1679
Expected answer: 1679
Correct? Yes
Problem: The jewelry manufacturer now has 5240 grams of gold instead of 63802 grams. If they still want to make each ring weigh exactly the same and produce 38 rings, how many grams of gold will be in each ring now?
Llama 3 70B:
Reasoning: To find the weight of each ring, we need to divide the total amount of gold (5240 grams) by the number of rings (38). 5240 รท 38 = 138 ### Answer: 138
Expected answer: 2620/19
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 70B:
Reasoning: To find out how many full rings the goldsmith can make, we need to divide the total amount of gold (60544 milligrams) by the amount of gold required for each ring (5504 milligrams). Let's perform the division: 60544 รท 5504 = 11 This means the goldsmith can make 11 full rings with the available gold. ### 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 70B:
Reasoning: To find the average number of animals in each cage, we need to divide the total number of animals by the number of cages. Let's divide 10489 (total animals) by 617 (number of cages): 10489 รท 617 = 17 So, there are 17 animals in each cage on average. ### 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 70B:
Reasoning: To find the new average number of animals in each cage, we need to divide the total number of animals by the new number of cages. Let's divide 10489 (total animals) by 5130 (new number of cages): 10489 รท 5130 = 2 So, there are 2 animals in each cage on average now. ### Answer: 2
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 70B:
Reasoning: To find out how many grams of carrots will be in each bag, we need to divide the total number of grams of carrots (21652) by the number of bags (5413). 21652 รท 5413 = 4 So, there will be 4 grams of carrots in each bag. ### 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 70B:
Reasoning: To find out how many grams of carrots will be in each bag, we need to divide the total number of grams of carrots (5652) by the number of bags (5413). 5652 รท 5413 = 1.04 (approximately) So, there will be approximately 1 gram of carrots in each bag. ### 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 70B:
Reasoning: To find the distance traveled in each stage, we need to divide the total distance by the number of stages. Total distance = 38745 miles Number of stages = 5 Distance per stage = Total distance รท Number of stages = 38745 รท 5 = 7749 ### 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 70B:
Reasoning: To find the distance traveled in each stage, we need to divide the total distance by the number of stages. Total distance = 38745 miles Number of stages = 3113 Distance per stage = Total distance รท Number of stages = 38745 รท 3113 = 12.43 (approximately) ### 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 70B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water (84,564 liters) by the number of bottles (261). We can do this by performing the division: 84,564 รท 261 = 324 So, each bottle contains 324 liters of water. ### Answer: 324
Expected answer: 324
Correct? Yes
Problem: If the factory instead needed to distribute 84,564 liters of water evenly into 1,779 bottles, how many liters would each bottle contain now?
Llama 3 70B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water (84,564 liters) by the number of bottles (1,779). We can do this by performing the division: 84,564 รท 1,779 = 48 So, each bottle would contain 48 liters of water. ### Answer: 48
Expected answer: 28188/593
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 70B:
Reasoning: To find the number of pages in each volume, we need to divide the total number of pages by the number of volumes. Let's divide 13467 (total pages) by 201 (number of volumes): 13467 รท 201 = 67 So, there are 67 pages in each volume. ### 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 70B:
Reasoning: To find the number of BTU of energy used per hour, we need to divide the total number of BTU used by the total number of hours the fireplace was working. Let's divide 56888 BTU by 2188 hours: 56888 รท 2188 = 26 So, the fireplace uses 26 BTU of energy per hour. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of 2188 hours, the fireplace was working continuously for 3809 hours with the same total energy consumption of 56888 BTU, how many BTU of energy would the fireplace use per hour then?
Llama 3 70B:
Reasoning: To find the number of BTU of energy used per hour, we need to divide the total number of BTU used by the total number of hours the fireplace was working. Let's divide 56888 BTU by 3809 hours: 56888 รท 3809 = 15 So, the fireplace uses 15 BTU of energy per hour. ### Answer: 15
Expected answer: 4376/293
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 70B:
Reasoning: To find the daily snowfall, we need to divide the total snowfall (36900 inches) by the number of days (82). Daily snowfall = Total snowfall รท Number of days = 36900 รท 82 = 450 ### Answer: 450 inches.
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 70B:
Reasoning: To find the daily snowfall, we need to divide the total snowfall (36900 inches) by the number of days (7138). Daily snowfall = Total snowfall รท Number of days = 36900 รท 7138 = 5.17 (approximately) ### Answer: 5.17 inches.
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 70B:
Reasoning: To find the area each giraffe gets, we need to divide the total area of the wildlife reserve by the number of giraffes. Let's divide 71292 square kilometers by 2742 giraffes: 71292 รท 2742 = 26 So, each giraffe gets 26 square kilometers of space. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Suppose the wildlife reserve instead held 8787 giraffes that were spread out evenly across the 71292 square kilometers. In this case, how many square kilometers would each giraffe get?
Llama 3 70B:
Reasoning: To find the area each giraffe gets, we need to divide the total area of the wildlife reserve by the number of giraffes. Let's divide 71292 square kilometers by 8787 giraffes: 71292 รท 8787 = 8.11 So, each giraffe would get approximately 8.11 square kilometers of space. ### Answer: 8.11
Expected answer: 23764/2929
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 70B:
Reasoning: To find the average number of lions saved per year, we need to divide the total number of lions saved (96187) by the number of years (13). 96187 รท 13 = 7398.23 (approximately) Since we can't save a fraction of a lion, we can round down to the nearest whole number. ### Answer: 7398
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 70B:
Reasoning: To find out how many pearls each friend will receive, we need to divide the total number of pearls by the number of friends. 32812 รท 631 = ? To do this, we can perform the division: 32812 รท 631 = 52 So each mermaid friend will receive 52 pearls. ### 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 70B:
Reasoning: To find out how many pearls each friend will receive, we need to divide the total number of pearls by the correct number of friends. 32812 รท 4198 = ? To do this, we can perform the division: 32812 รท 4198 = 7.82 (approximately) Since we can't divide pearls into fractions, we can round down to the nearest whole number. Each mermaid friend will receive 7 pearls. ### 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 70B:
Reasoning: To find the number of apples produced weekly, we need to divide the total number of apples produced during the growing season by the number of weeks. Let's divide 36,784 apples by 19 weeks: 36,784 รท 19 = 1,936 So, the farm produces 1,936 apples weekly. ### Answer: 1,936
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 70B:
Reasoning: To find the number of apples produced weekly, we need to divide the total number of apples produced during the growing season by the new number of weeks. Let's divide 36,784 apples by 152 weeks: 36,784 รท 152 = 242 So, the farm produces 242 apples weekly. ### 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 70B:
Reasoning: To find the distance covered by the train in a day, we need to divide the total distance traveled by the number of days. Distance traveled = 63245 miles Number of days = 695 days Distance covered in a day = Total distance รท Number of days = 63245 รท 695 = 91 ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: Suppose the train now travels a total of 6280 miles over the same period of 695 days. If the train still travels the same distance each day, how many miles will it cover in a day now?
Llama 3 70B:
Reasoning: To find the distance covered by the train in a day, we need to divide the total distance traveled by the number of days. Distance traveled = 6280 miles Number of days = 695 days Distance covered in a day = Total distance รท Number of days = 6280 รท 695 = 9 ### Answer: 9
Expected answer: 1256/139
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 70B:
Reasoning: To find the daily production rate, we need to divide the total number of dolls produced by the number of days. Let's divide 41772 (total dolls) by 708 (number of days): 41772 รท 708 = 59 So, the factory produced 59 dolls per 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 70B:
Reasoning: To find the daily production rate, we need to divide the total number of dolls produced by the new number of days. Let's divide 41772 (total dolls) by 4664 (new number of days): 41772 รท 4664 = 9 So, if the factory produced the same total number of dolls over a longer period of 4664 days, they would have produced 9 dolls per day. ### 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 70B:
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 reach his goal (7). 61019 รท 7 = 8717 So, the drummer needs to hit the drum 8717 times each day to meet his goal. ### Answer: 8717
Expected answer: 8717
Correct? Yes
Problem: The drummer realized that his initial goal was too lofty, and decided to reduce his goal to hitting his drum 7454 times instead. If he still 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 new goal?
Llama 3 70B:
Reasoning: To find out how many times the drummer needs to hit the drum each day, we need to divide the new total number of times he wants to hit the drum (7454) by the number of days he has to reach his goal (7). 7454 รท 7 = 1065 So, the drummer needs to hit the drum 1065 times each day to meet his new goal. ### Answer: 1065
Expected answer: 7454/7
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 70B:
Reasoning: To find the average distance the dolphin can swim in an hour, we need to divide the total distance it can swim (98816 meters) by the total time it takes to swim that distance (128 hours). 98816 meters รท 128 hours = 772 meters per hour ### Answer: 772
Expected answer: 772
Correct? Yes
Problem: Following the change, suppose now that the dolphin swam a total of 6186 meters within the same 128 hours. How many meters is the dolphin now swimming in an hour?
Llama 3 70B:
Reasoning: To find the average distance the dolphin can swim in an hour, we need to divide the total distance it can swim (6186 meters) by the total time it takes to swim that distance (128 hours). 6186 meters รท 128 hours = 48.375 meters per hour ### Answer: 48.375
Expected answer: 3093/64
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 70B:
Reasoning: To find the average number of streams per day, we need to divide the total number of streams by the number of days. Average streams per day = Total streams รท Number of days = 71532 รท 1987 = 36 ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: The same song was streamed 4862 times in the first 1987 days on a less popular platform. How many streams did it average per day on this platform?
Llama 3 70B:
Reasoning: To find the average number of streams per day, we need to divide the total number of streams by the number of days. Average streams per day = Total streams รท Number of days = 4862 รท 1987 = 2.45 (approximately) ### Answer: 2.45
Expected answer: 4862/1987
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 70B:
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). We can do this by performing the division: 33046 รท 1066 = 31 So, each store will receive 31 compasses. ### 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 70B:
Reasoning: To find out how many compasses each store will receive, we need to divide the total number of compasses (33046) by the corrected number of stores (6456). We can do this by performing the division: 33046 รท 6456 = 5.12 (approximately) Since we can't divide compasses into fractions, we'll round down to the nearest whole number. Each store will receive 5 compasses. ### 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 70B:
Reasoning: Since there are 58 similar plots, we can divide the total number of carrots (49822) by the number of plots (58) to find the number of carrots each plot yielded. 49822 รท 58 = 859 ### Answer: 859
Expected answer: 859
Correct? Yes
Problem: Suppose in the same large farm, they only managed to produce a total of 9653 carrots from the same 58 plots the next year. If these plots yielded the same number of carrots, how many carrots did each plot yield this time?
Llama 3 70B:
Reasoning: Since there are 58 similar plots, we can divide the total number of carrots (9653) by the number of plots (58) to find the number of carrots each plot yielded. 9653 รท 58 = 166.5 Since we can't have a fraction of a carrot, we can round down to the nearest whole number, as it's not possible to produce a fraction of a carrot. 166.5 โ 166 ### Answer: 166
Expected answer: 9653/58
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 70B:
Reasoning: The revealed area is equal to the original area, which is 8744 square meters. To find the ratio of the revealed area to the original area, we can divide the revealed area by the original area. Ratio = Revealed Area / Original Area = 8744 / 8744 = 1 So, the ratio of the revealed area to the original area is 1:1 or 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 70B:
Reasoning: To find the distance traveled per hour, we need to divide the total distance traveled by the total time taken. Distance traveled = 97506 meters Time taken = 18 hours Distance per hour = Total distance รท Total time = 97506 meters รท 18 hours = 5417 meters per hour ### Answer: 5417
Expected answer: 5417
Correct? Yes
Problem: If the scooter's total distance on a full charge was instead 7727 meters, keeping the battery life at 18 hours, how many meters would the scooter travel per hour now?
Llama 3 70B:
Reasoning: To find the distance traveled per hour, we need to divide the total distance traveled by the total time taken. Distance traveled = 7727 meters Time taken = 18 hours Distance per hour = Total distance รท Total time = 7727 meters รท 18 hours = 429 meters per hour ### Answer: 429
Expected answer: 7727/18
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 70B:
Reasoning: To find the amount of light energy emitted per hour, we need to divide the total amount of light energy emitted (94548 units) by the total number of hours (7879 hours). 94548 units รท 7879 hours = 94548 รท 7879 = 12 units/hour ### Answer: 12 units/hour
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 70B:
Reasoning: To find the amount of light energy emitted per hour, we need to divide the total amount of light energy emitted (94548 units) by the new total number of hours (3349 hours). 94548 units รท 3349 hours = 94548 รท 3349 = 28.2 units/hour ### Answer: 28.2 units/hour
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 70B:
Reasoning: To find the number of trees in each section, we need to divide the total number of trees (80752) by the number of sections (412). 80752 รท 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 70B:
Reasoning: To find the number of trees in each section, we need to divide the total number of trees (80752) by the new number of sections (1778). 80752 รท 1778 = 45.4 Since we can't have a fraction of a tree, we can round down to the nearest whole number. ### 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 70B:
Reasoning: To find the number of cucumbers harvested each day, we need to divide the total number of cucumbers harvested (44280) by the number of days (216). 44280 รท 216 = 205 ### Answer: 205
Expected answer: 205
Correct? Yes
Problem: If instead of 44280 cucumbers, the farm only harvested 4076 cucumbers over the same 216 days, how many cucumbers were harvested each day given this new quantity?
Llama 3 70B:
Reasoning: To find the number of cucumbers harvested each day, we need to divide the total number of cucumbers harvested (4076) by the number of days (216). 4076 รท 216 = 18.83 (approximately) Since we can't harvest a fraction of a cucumber, we can round down to the nearest whole number. ### Answer: 18
Expected answer: 1019/54
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 70B:
Reasoning: To find the number of cookies in each package, we need to divide the total number of cookies by the number of packages. Let's divide 77545 cookies by 1193 packages: 77545 รท 1193 = 65 So, there are 65 cookies in each package. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Considering the same scenario where the cookie factory is producing cookies, imagine now they increased their packaging capabilities and packaged the same 77545 cookies into 1834 packages instead of 1193. How many cookies are there in each package now?
Llama 3 70B:
Reasoning: To find the number of cookies in each package, we need to divide the total number of cookies by the new number of packages. Let's divide 77545 cookies by 1834 packages: 77545 รท 1834 = 42 So, there are 42 cookies in each package now. ### Answer: 42
Expected answer: 77545/1834
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 70B:
Reasoning: To find the amount of light energy emitted per second, we need to divide the total light energy emitted (51750 units) by the time it takes to emit that amount of energy (125 seconds). Let's divide 51750 by 125: 51750 รท 125 = 414 So, the star emits 414 units of light energy every second. ### Answer: 414
Expected answer: 414
Correct? Yes
Problem: If instead, over a different period, the star emitted 51750 units of light energy every 8670 seconds, how much light energy would it be emitting per second?
Llama 3 70B:
Reasoning: To find the amount of light energy emitted per second, we need to divide the total light energy emitted (51750 units) by the time it takes to emit that amount of energy (8670 seconds). Let's divide 51750 by 8670: 51750 รท 8670 = 6 So, the star emits 6 units of light energy every second. ### Answer: 6
Expected answer: 1725/289
Correct? No
Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?
Llama 3 70B:
Reasoning: To find out how many candies the factory made each day, we need to divide the total number of candies produced (25144) by the number of days (56). 25144 รท 56 = 448 So, the factory made 448 candies each day. ### Answer: 448
Expected answer: 449
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 70B:
Reasoning: To find the number of loaves needed, we need to divide the total number of slices required by the number of slices per loaf. Let's divide 34240 slices by 10 slices per loaf: 34240 รท 10 = 3424 So, the party needs 3424 loaves of bread. ### 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 70B:
Reasoning: To find the number of loaves needed, we need to divide the total number of slices required by the number of slices per loaf. Let's divide 7638 slices by 10 slices per loaf: 7638 รท 10 = 763.8 Since we can't have a fraction of a loaf, we round up to the nearest whole number to ensure we have enough bread. 763.8 โ 764 So, the party needs 764 loaves of bread. ### 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 70B:
Reasoning: To find the number of new trees sprouting each day, we need to divide the total number of trees (20111) by the number of days (119). 20111 รท 119 = 169 So, 169 new trees sprout each day. ### 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 70B:
Reasoning: To find the number of new trees sprouting each day, we need to divide the total number of trees (6216) by the number of days (119). 6216 รท 119 = 52 So, 52 new trees sprout each day in this different area of the forest. ### 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 70B:
Reasoning: To find out how many cans of dog food the factory distributed per week, we need to divide the total number of cans (91,104) by the number of weeks (52). 91,104 รท 52 = 1,750 So, the factory distributed 1,750 cans of dog food per week. ### Answer: 1,750
Expected answer: 1752
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 70B:
Reasoning: Let's say x yards of fabric are used to produce each blanket. Since the company can make 18 blankets from 19944 yards of fabric, we can set up the equation: 18x = 19944 To find the value of x, we can divide both sides of the equation by 18: x = 19944 รท 18 x = 1108 So, 1108 yards of fabric are used to produce each blanket. ### Answer: 1108
Expected answer: 1108
Correct? Yes
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 70B:
Reasoning: To find the average number of potatoes produced by each plant, we need to divide the total number of potatoes harvested by the number of plants. Let's divide 45764 (total potatoes) by 2692 (number of plants): 45764 รท 2692 = 16.97 (approximately) So, on average, each plant produces approximately 17 potatoes. ### 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 70B:
Reasoning: To find the new average number of potatoes produced by each plant, we need to divide the corrected total number of potatoes harvested by the same number of plants. Let's divide 7664 (corrected total potatoes) by 2692 (number of plants): 7664 รท 2692 = 2.84 (approximately) So, on average, each plant produces approximately 3 potatoes. ### Answer: 3
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 70B:
Reasoning: To find out how many marshmallows are made each hour, we need to divide the total number of marshmallows produced (85560) by the number of hours the factory operated (713). 85560 รท 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 70B:
Reasoning: To find out how many marshmallows are made each hour, we need to divide the total number of marshmallows produced (85560) by the number of hours the factory operated (7544). 85560 รท 7544 = 11.33 (approximately) ### Answer: 11.33
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 70B:
Reasoning: To find the number of plots, we need to divide the total area by the area of each plot. Let's divide 49,928 square meters (total area) by 6,241 square meters (area of each plot): 49,928 รท 6,241 = 8 So, there are 8 plots on the farm. ### 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 70B:
Reasoning: To find the number of plots, we need to divide the total area by the area of each plot. Let's divide 49,928 square meters (total area) by 23 square meters (area of each plot): 49,928 รท 23 = 2,170 So, there are 2,170 plots on the farm now. ### Answer: 2,170
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 70B:
Reasoning: To find out how many grams of flour were used to make cookies each day, we need to divide the total amount of flour used (62118 grams) by the number of days (2142 days). 62118 รท 2142 = 29 ### 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 70B:
Reasoning: To find out how many grams of flour were used to make cookies each day, we need to divide the total amount of flour used (62118 grams) by the corrected number of days (2755 days). 62118 รท 2755 = 22.5 ### 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 70B:
Reasoning: To find out how many centimeters of shoelace each pair gets, we need to divide the total number of centimeters of shoelaces by the number of pairs of shoes. Let's divide 91100 centimeters by 3644 pairs: 91100 รท 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 70B:
Reasoning: To find out how many centimeters of shoelace each pair gets, we need to divide the total number of centimeters of shoelaces by the number of pairs of shoes. Let's divide 91100 centimeters by 9498 pairs: 91100 รท 9498 = 9.58 (approximately) So, each pair of shoes would get approximately 9.58 centimeters of shoelace. ### Answer: 9.58
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 70B:
Reasoning: To find the number of bushels of apples in each bin, we need to divide the total number of bushels (505) by the number of bins (5). 505 รท 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 70B:
Reasoning: To find the number of bushels of apples in each bin, we need to divide the total number of bushels (7798) by the number of bins (5). 7798 รท 5 = 1559.6 Since we can't have a fraction of a bushel, we'll round down to the nearest whole number. 1559.6 โ 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 70B:
Reasoning: To find the number of confetti pieces per square foot, we need to divide the total number of confetti pieces by the total area. Let's divide 65325 (total confetti pieces) by 5025 (total area in square feet): 65325 รท 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 70B:
Reasoning: To find the number of confetti pieces per square foot, we need to divide the total number of confetti pieces by the total area. Let's divide 65325 (total confetti pieces) by 9944 (total area in square feet): 65325 รท 9944 = 6.57 (approximately) ### 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 70B:
Reasoning: To find the number of crayons in each box, we need to divide the total number of crayons (26691) by the number of boxes (123). 26691 รท 123 = 217 ### Answer: 217
Expected answer: 217
Correct? Yes
Problem: Suppose the crayon factory now produced 4521 crayons instead of 26691, and these were still evenly distributed into 123 boxes. How many crayons would there be in each box under this new scenario?
Llama 3 70B:
Reasoning: To find the number of crayons in each box, we need to divide the total number of crayons (4521) by the number of boxes (123). 4521 รท 123 = 36.76 (but since we can't have a fraction of a crayon, we round down to the nearest whole number) ### Answer: 36
Expected answer: 1507/41
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 70B:
Reasoning: To find the number of fires extinguished per week, we need to divide the total number of fires (45843) by the number of weeks (413). 45843 รท 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 70B:
Reasoning: To find the number of fires extinguished per week, we need to divide the total number of fires (45843) by the number of weeks (4913). 45843 รท 4913 = 9.33 (approximately) ### Answer: 9.33
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 70B:
Reasoning: To find the area of each section, we need to divide the total area of the park by the number of sections. Area of each section = Total area of the park รท Number of sections = 57546 รท 9591 = 6 ### 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 70B:
Reasoning: To find the area of each section, we need to divide the total area of the park by the new number of sections. Area of each section = Total area of the park รท Number of sections = 57546 รท 131 = 439 ### Answer: 439
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 70B:
Reasoning: Let's divide the total number of toothpaste tubes produced (93822) by the number of boxes of raw materials used (4938) to find out how many tubes each box can produce. 93822 รท 4938 = 19 So, one box of raw materials can produce 19 toothpaste tubes. ### 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 70B:
Reasoning: Let's divide the total number of toothpaste tubes produced (9206) by the number of boxes of raw materials used (4938) to find out how many tubes each box can produce. 9206 รท 4938 = 1.863 (approximately) So, one box of raw materials can now produce approximately 1.863 toothpaste tubes. ### Answer: 1.863
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 70B:
Reasoning: To find the number of children who use the Jungle gym each day, we need to divide the total number of children (40740) by the number of days (84). 40740 รท 84 = 484 ### Answer: 484
Expected answer: 485
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 70B:
Reasoning: To find out how many cubic centimeters of snow are used for each snowman, we need to divide the total amount of snow (39482 cc) by the number of snowmen (38). 39482 รท 38 = 1039.53 (approximately) Since we can't have a fraction of a cubic centimeter, we can round the answer to the nearest whole number. ### Answer: 1040
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 70B:
Reasoning: To find the area of each smaller square, we need to divide the total area of the large window (67673 square inches) by the number of smaller squares (1147). Area of each smaller square = Total area of large window รท Number of smaller squares = 67673 รท 1147 = 59 ### 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 70B:
Reasoning: To find the area of each smaller square, we need to divide the total area of the large window (7562 square inches) by the number of smaller squares (1147). Area of each smaller square = Total area of large window รท Number of smaller squares = 7562 รท 1147 = 6.6 ### 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 70B:
Reasoning: To find out how many oranges each tree produces, we need to divide the total number of oranges (49,920) by the number of trees (195). 49,920 รท 195 = 256 So, each tree produces 256 oranges. ### 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 70B:
Reasoning: To find out how many 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 รท 9,289 = 5.37 (approximately) So, each of the selected trees produces approximately 5.37 oranges. ### Answer: 5.37
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 70B:
Reasoning: To find the number of children in each school who had a sandwich for lunch, we need to divide the total number of children who had a sandwich (34160) by the total number of schools (4270). Let's do the division: 34160 รท 4270 = 8 So, 8 children in each school had a sandwich for lunch. ### 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 70B:
Reasoning: To find the number of children in each school who had a sandwich for lunch, we need to divide the total number of children who had a sandwich (34160) by the total number of schools (7823). Let's do the division: 34160 รท 7823 = 4.37 (approximately) So, approximately 4 children in each school had a sandwich for lunch. ### Answer: 4
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 70B:
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 รท 306 = 11 So, you can brush your teeth 11 times with this tube of toothpaste. ### 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 70B:
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 รท 306 = 29.58 (approximately) Since you can't brush your teeth a fraction of a time, we'll 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 70B:
Reasoning: To find the number of towels in each box, we need to divide the total number of towels by the number of boxes. Let's divide 49742 towels by 1309 boxes: 49742 รท 1309 = 38 So, there are 38 towels in each box. ### 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 70B:
Reasoning: To find the number of towels in each box, we need to divide the total number of towels by the number of boxes. Let's divide 8337 towels by 1309 boxes: 8337 รท 1309 = 6 So, there are 6 towels in each box. ### 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 70B:
Reasoning: To find the number of messages sent per day, we need to divide the total number of messages by the number of days. Let's divide 43134 (total messages) by 3318 (number of days): 43134 รท 3318 = 13 So, the alien civilization sends 13 messages per day. ### 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 70B:
Reasoning: First, we need to convert the total number of Earth days to the alien civilization's "days". Since each of their "days" represents 8212 Earth days, we can divide the total number of Earth days by 8212: 3318 Earth days รท 8212 = 0.404 (approximately) So, the period of time is equivalent to approximately 0.404 of their "days". Now, we can divide the total number of messages by the number of their "days" to find the number of messages sent per their "day": 43134 messages รท 0.404 = 106750 (approximately) ### Answer: 106750
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 70B:
Reasoning: To find the number of students per bus, we need to divide the total number of students by the number of buses. Let's divide 80,011 students by 31 buses: 80,011 รท 31 = 2,580 So, there are 2,580 students per bus. ### Answer: 2,580
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 70B:
Reasoning: To find the number of cameras sold daily, we need to divide the total number of cameras sold (54020) by the number of days (730). 54020 รท 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 70B:
Reasoning: To find the number of cameras sold daily, we need to divide the total number of cameras sold (54020) by the new number of days (5546). 54020 รท 5546 = 9.74 (approximately) Since we can't sell a fraction of a camera, we can round down to the nearest whole number. ### Answer: 9
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 70B:
Reasoning: To find out how many liters of ice cream each container accommodates, we need to divide the total number of liters of ice cream by the number of containers. Let's divide 25774 liters by 526 containers: 25774 รท 526 = 49 So, each container accommodates 49 liters of ice cream. ### 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 70B:
Reasoning: To find out how many liters of ice cream each container accommodates, we need to divide the total number of liters of ice cream by the new number of containers. Let's divide 25774 liters by 418 containers: 25774 รท 418 = 61.5 So, each container now accommodates 61.5 liters of ice cream. ### Answer: 61.5
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 70B:
Reasoning: To find the distance each bus travels, we need to divide the total distance driven by the number of buses. Let's divide the total distance (85300 miles) by the number of buses (3412): 85300 รท 3412 = 25 So, each bus drives 25 miles in a week. ### 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 70B:
Reasoning: To find the distance each bus travels, we need to divide the total distance driven by the number of buses. Let's divide the total distance (3940 miles) by the number of buses (3412): 3940 รท 3412 = 1.15 So, each bus drives 1.15 miles in this week. ### 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 70B:
Reasoning: To find the energy produced per hour, we need to divide the total energy generated (92250 kilowatts) by the number of hours (75). Energy per hour = Total energy รท Number of hours = 92250 รท 75 = 1230 ### Answer: 1230 kilowatts per hour.
Expected answer: 1230
Correct? Yes
Problem: If the same wind turbine instead generates a total of 5837 kilowatts of energy over the same 75 hours, how much energy does it now produce per hour?
Llama 3 70B:
Reasoning: To find the energy produced per hour, we need to divide the total energy generated (5837 kilowatts) by the number of hours (75). Energy per hour = Total energy รท Number of hours = 5837 รท 75 = 77.83 (approximately) ### Answer: 77.83 kilowatts per hour.
Expected answer: 5837/75
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 70B:
Reasoning: To find the average daily gain, we need to divide the total gain (3734 grams) by the number of days (1867). Average daily gain = Total gain รท Number of days = 3734 grams รท 1867 days = 2 grams/day (approximately) ### Answer: 2
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 70B:
Reasoning: To find the new average daily gain, we need to divide the total gain (3734 grams) by the new number of days (1651). Average daily gain = Total gain รท Number of days = 3734 grams รท 1651 days = 2.26 grams/day (approximately) ### Answer: 2.26
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 70B:
Reasoning: To find the amount of water released per minute, we need to divide the total amount of water released (33,532 liters) by the number of minutes the hose was used (8,383 minutes). 33,532 liters รท 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 70B:
Reasoning: To find the amount of water released per minute, we need to divide the total amount of water released (33,532 liters) by the number of minutes the hose was used (7,845 minutes). 33,532 liters รท 7,845 minutes = 4.28 liters per minute (approximately) ### Answer: 4.28
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 70B:
Reasoning: To find out how many eggs each chicken contributes, we need to divide the total number of eggs by the number of chickens. Let's divide 96,120 eggs by 20 chickens: 96,120 รท 20 = 4,806 So, each chicken contributes 4,806 eggs. ### 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 70B:
Reasoning: To find out how many eggs each chicken contributes, we need to divide the total number of eggs by the correct number of chickens. Let's divide 96,120 eggs by 9,046 chickens: 96,120 รท 9,046 = 10.62 (approximately) So, each chicken actually contributed approximately 10.62 eggs. ### Answer: 10.62
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 70B:
Reasoning: To find the amount of rain the town receives each day, we need to divide the total amount of rain (11458 mm) by the number of days (17). 11458 mm รท 17 = 673 mm So, the town receives 673 mm of rain each day. ### Answer: 673 mm
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 70B:
Reasoning: To find the number of pens produced every hour, we need to divide the total number of pens produced (2526) by the total number of hours (842). 2526 รท 842 = 3 So, the 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 70B:
Reasoning: To find the number of pens produced every hour, we need to divide the total number of pens produced (2526) by the total number of hours (547). 2526 รท 547 = 4.61 (approximately) So, the factory would have produced approximately 4.61 pens every hour. ### Answer: 4.61
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 70B:
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 รท 19 = 15 So, each classroom gets 15 erasers. ### 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 70B:
Reasoning: 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 รท 19 = 246.37 (but we can't divide erasers, so we'll round down to the nearest whole number) So, each classroom gets 246 erasers. ### 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 70B:
Reasoning: To find the penguin's speed, we need to divide the distance traveled by the time taken. Speed = Distance รท Time = 41020 feet รท 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 70B:
Reasoning: To find the penguin's speed, we need to divide the distance traveled by the time taken. Speed = Distance รท Time = 4325 feet รท 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 70B:
Reasoning: To find the number of gallons of water each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (576). Let's do the division: 63360 รท 576 = 110 So, each section of the reservoir holds 110 gallons of water. ### 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 70B:
Reasoning: To find the number of gallons of water each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (9999). Let's do the division: 63360 รท 9999 = 6.336 Since we can't have a fraction of a gallon, we can round down to 6 gallons per section, as we can't have a fraction of a gallon. ### Answer: 6
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 70B:
Reasoning: To find out how many skirts each store got, we need to divide the total number of skirts by the number of stores. 21868 รท 77 = 283 ### Answer: 283
Expected answer: 284
Correct? No
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 70B:
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 รท 59 = 949.98 (approximately) Since we can't show a fraction of a minute of advertisement, we can round this number to the nearest whole number. ### Answer: 950
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 70B:
Reasoning: To find the number of marks in each exam paper, we need to divide the total number of marks by the number of exam papers. Let's divide 59748 by 1149: 59748 รท 1149 = 52 So, there are 52 marks in each exam paper. ### 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 70B:
Reasoning: To find the number of marks in each exam paper, we need to divide the total number of marks by the number of exam papers. Let's divide 7117 by 1149: 7117 รท 1149 = 6.2 So, there would be 6.2 marks in each exam paper now. ### Answer: 6.2
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 70B:
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 รท 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 70B:
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 (6614). 44840 รท 6614 = 6.78 (approximately) ### Answer: 7 (approximately)
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 70B:
Reasoning: To find out how many eggs the butterfly laid on each flower, we need to divide the total number of eggs by the number of flowers. Let's divide 5385 eggs by 359 flowers: 5385 รท 359 = 15 So, the butterfly laid 15 eggs on each flower. ### 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 70B:
Reasoning: To find out how many eggs the butterfly laid on each flower, we need to divide the total number of eggs by the number of flowers. Let's divide 9710 eggs by 359 flowers: 9710 รท 359 = 27 So, the butterfly laid 27 eggs on each flower. ### 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 70B:
Reasoning: To find the number of pixels in each row, we need to divide the total number of pixels (95038) by the number of rows (61). 95038 รท 61 = 1559 ### Answer: 1559
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 70B:
Reasoning: To find the number of ice cream cones made each day, we need to divide the total number of cones produced (45580) by the number of days (53). Let's do the division: 45580 รท 53 = 859 ### Answer: 859
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 70B:
Reasoning: To find the number of square inches of fabric each towel gets, we need to divide the total number of square inches of fabric (36135) by the number of towels (219). 36135 รท 219 = 165 ### Answer: 165
Expected answer: 165
Correct? Yes
Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?
Llama 3 70B:
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). 36300 kilojoules รท 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 70B:
Reasoning: To find the energy burned in one hour, we need to divide the total energy burned (8712 kilojoules) by the number of hours (4). 8712 kilojoules รท 4 hours = 2178 kilojoules per hour ### Answer: 2178
Expected answer: 2178
Correct? Yes
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 70B:
Reasoning: To find out how much snow each team got, we need to divide the total amount of snow (51156 kg) by the number of teams (9). 51156 kg รท 9 = 5684 kg ### 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 70B:
Reasoning: To find out how much snow each team gets, we need to divide the total amount of snow (6407 kg) by the number of teams (9). 6407 kg รท 9 = 712 kg ### 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 70B:
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 รท 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 70B:
Reasoning: To find the number of apples harvested each day, we need to divide the total number of apples (56250) by the actual number of days (3028). 56250 รท 3028 = 18.58 (approximately) Since we can't harvest a fraction of an apple, we can round down to the nearest whole number. ### 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 70B:
Reasoning: To find the number of days, we need to divide the total number of seconds by the number of seconds in a day. 82992 seconds รท 1729 seconds/day = 48 days ### 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 70B:
Reasoning: To find the number of days, we need to divide the total number of seconds by the number of seconds in a day. 8741 seconds รท 1729 seconds/day = 5.06 days (approximately) Since we can't have a fraction of a day, we can round down to the nearest whole number, as the baby can't speak her first word in a fraction of a day. ### 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 70B:
Reasoning: Let's set up a proportion to relate the map distance to the real-life distance. We know that 91,368 centimeters on the map represents 216 kilometers in real life. We can set up the proportion as follows: 91,368 cm / 216 km = x cm / 1 km To solve for x, we can cross-multiply: 91,368 = 216x Now, divide both sides by 216: x = 91,368 รท 216 x = 423 So, 423 centimeters on the map represent 1 kilometer in real life. ### Answer: 423
Expected answer: 423
Correct? Yes
Problem: Following the previous scenario, the map maker decides to make a new map where 6884 centimeters represent the same 216 kilometers. Now, how many centimeters on this new map would represent 1 kilometer in real life?
Llama 3 70B:
Reasoning: We can set up a proportion again, similar to the previous scenario: 6884 cm / 216 km = x cm / 1 km To solve for x, we can cross-multiply: 6884 = 216x Now, divide both sides by 216: x = 6884 รท 216 x = 32 So, 32 centimeters on this new map would represent 1 kilometer in real life. ### Answer: 32
Expected answer: 1721/54
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 70B:
Reasoning: To find out how many beads will be used for each section, we need to divide the total number of beads (33536) by the number of sections (131). 33536 รท 131 = 256 So, the fashion designer will use 256 beads for each section. ### 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 70B:
Reasoning: To find out how many beads will be used for each section, we need to divide the total number of beads (33536) by the new number of sections (3206). 33536 รท 3206 = 10.47 (approximately) So, the fashion designer will use approximately 10 beads for each section. ### Answer: 10
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 70B:
Reasoning: To find out how many gallons the firefighter sprays each minute, we need to divide the total amount of water sprayed (69966 gallons) by the number of minutes (299 minutes). 69966 รท 299 = 234 So, the firefighter sprays 234 gallons of water each minute. ### Answer: 234
Expected answer: 234
Correct? Yes
Problem: After the fire is controlled, a firefighter continues to spray 8749 gallons of water to cool down the area over the next 299 minutes. If the firefighter sprays the same amount of water every minute as before, how many gallons does he spray each minute now?
Llama 3 70B:
Reasoning: We already know that the firefighter sprays the same amount of water every minute as before, which is 234 gallons per minute. To find out how many gallons the firefighter sprays each minute now, we can simply use the same value: 234 gallons per minute. ### Answer: 234
Expected answer: 673/23
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 70B:
Reasoning: Let's say the number of square inches of glass required for a single window is x. Since the manufacturer's current stock can cover 2118 same-sized windows, the total square inches of glass in the stock is 2118x. We know that this stock can cover 6354 square inches of glass material, so we can set up the equation: 2118x = 6354 To find x, we can divide both sides of the equation by 2118: x = 6354 รท 2118 x = 3 So, a single window requires 3 square inches of glass material. ### 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 70B:
Reasoning: Let's say the number of square inches of glass required for each of the new model windows is x. We know that 6354 square inches of glass material can produce 6122 windows, so we can set up the equation: 6122x = 6354 To find x, we can divide both sides of the equation by 6122: x = 6354 รท 6122 x = 1.04 So, each of the new model windows now requires approximately 1.04 square inches of glass material. ### 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 70B:
Reasoning: To find the distance the frog jumps per jump, we need to divide the total distance jumped by the number of jumps. Let's divide 12288 centimeters by 512 jumps: 12288 รท 512 = 24 So, the frog jumps 24 centimeters per jump. ### 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 70B:
Reasoning: To find the distance the frog jumps per jump, we need to divide the total distance jumped by the number of jumps. Let's divide 9064 centimeters by 512 jumps: 9064 รท 512 = 17.69 (approximately) So, the frog now jumps approximately 17.69 centimeters per jump. ### Answer: 17.69
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 70B:
Reasoning: To find the number of flowers in each pot, we need to divide the total number of flowers (1392) by the number of pots (116). 1392 รท 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 70B:
Reasoning: To find the number of flowers in each pot, we need to divide the total number of flowers (7275) by the number of pots (116). 7275 รท 116 = 62.5 Since we can't have a fraction of a flower, we can round down to the nearest whole number, as it's not possible to have a part of a flower in a pot. 62.5 โ 62 So, there would be 62 flowers in each pot now. ### Answer: 62
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 70B:
Reasoning: To find the number of scoops sold each week, we need to divide the total number of scoops sold (31,176) by the number of weeks (9). 31,176 รท 9 = 3,464 ### Answer: 3,464
Expected answer: 3464
Correct? Yes
Problem: Suppose instead of 9 weeks, it took the ice cream shop 4035 days to sell a total of 31,176 scoops of ice cream. How many scoops of ice cream did they sell each day?
Llama 3 70B:
Reasoning: To find the number of scoops sold each day, we need to divide the total number of scoops sold (31,176) by the number of days (4035). 31,176 รท 4035 = 7.73 (approximately) ### Answer: 7.73 (approximately)
Expected answer: 10392/1345
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 70B:
Reasoning: To find the rate at which the mouse runs, we need to divide the total distance traveled (14824 meters) by the time it took to travel that distance (4 hours). Rate = Total Distance รท Time = 14824 meters รท 4 hours = 3706 meters per hour ### Answer: 3706
Expected answer: 3706
Correct? Yes
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 70B:
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). We can do this by performing the division: 88,508 รท 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 70B:
Reasoning: To find out how many bananas each monkey will get, we need to divide the total number of bananas (9,073) by the number of monkeys (406). We can do this by performing the division: 9,073 รท 406 = 22.35 Since we can't divide bananas into fractions, we'll round down to the nearest whole number. Each monkey will 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 70B:
Reasoning: Since each table has 4 legs, the total number of tables can be found by dividing the total number of legs by 4. Let's divide the total number of legs by 4: 15110 รท 4 = 3775 ### Answer: 3775
Expected answer: 7555
Correct? No
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 70B:
Reasoning: To find the number of hats that can be made, we need to divide the total number of feathers by the number of feathers per hat. Let's divide 3560 by 890: 3560 รท 890 = 4 So, the hat maker can make 4 hats with the available feathers. ### 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 70B:
Reasoning: To find the number of hats that can be made, we need to divide the total number of feathers by the number of feathers per hat. Let's divide 1416 by 890: 1416 รท 890 = 1 with a remainder of 526 Since we can't make a fraction of a hat, the hat maker can only make 1 hat with the available feathers. ### 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 70B:
Reasoning: To find the number of points each player has, we need to divide the total number of points (17394) by the number of players (3). 17394 รท 3 = 5798 ### Answer: 5798
Expected answer: 5798
Correct? Yes
Problem: Now, consider a similar game where the total of 17394 points is now distributed evenly among 7489 players instead. In this case, how many points would each player have?
Llama 3 70B:
Reasoning: To find the number of points each player has, we need to divide the total number of points (17394) by the number of players (7489). 17394 รท 7489 = 2.32 (approximately) ### Answer: 2.32
Expected answer: 17394/7489
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 70B:
Reasoning: To find the number of acres in each section, we need to divide the total number of acres (3276) by the number of sections (126). Let's do the division: 3276 รท 126 = 26 So, each section of the central park covers 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 70B:
Reasoning: Since the number of sections remains the same (126), we can divide the new total area (139 acres) by the number of sections to find the area of each section. Let's do the division: 139 รท 126 = 1.1 So, each section of the smaller park would cover 1.1 acres. ### Answer: 1.1
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 70B:
Reasoning: To find out how many yards of fabric are needed for each pair, we need to divide the total amount of fabric by the number of pairs. Total fabric = 54736 yards Number of pairs = 11 Fabric needed per pair = Total fabric รท Number of pairs = 54736 รท 11 = 4976 ### Answer: 4976
Expected answer: 4976
Correct? Yes
Problem: The pants manufacturer now only has 4769 yards of fabric left. If they still plan on making 11 pairs of pants with this fabric, and each pair will still consume an equal portion of the total fabric, how many yards of fabric are needed for each pair now?
Llama 3 70B:
Reasoning: To find out how many yards of fabric are needed for each pair, we need to divide the remaining amount of fabric by the number of pairs. Remaining fabric = 4769 yards Number of pairs = 11 Fabric needed per pair = Remaining fabric รท Number of pairs = 4769 รท 11 = 433.55 (approximately) Since we can't have a fraction of a yard, we can round down to the nearest whole number to ensure we have enough fabric for each pair. ### Answer: 433
Expected answer: 4769/11
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 70B:
Reasoning: To find the number of degrees the minute hand rotates each hour, we need to divide the total number of degrees it rotates (49716) by the number of hours (18). 49716 รท 18 = 2762 So, the minute hand rotates 2762 degrees each hour. ### Answer: 2762
Expected answer: 2762
Correct? Yes
Problem: Considering that the minute hand of the clock actually rotates 49716 degrees throughout 9706 hours instead of 18, how many degrees does it rotate each hour?
Llama 3 70B:
Reasoning: To find the number of degrees the minute hand rotates each hour, we need to divide the total number of degrees it rotates (49716) by the number of hours (9706). 49716 รท 9706 = 5.13 (approximately) So, the minute hand rotates approximately 5.13 degrees each hour. ### Answer: 5.13
Expected answer: 24858/4853
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 70B:
Reasoning: To find the number of stuffed animals for each design, we need to divide the total number of stuffed animals (1865) by the number of different designs (373). 1865 รท 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 70B:
Reasoning: To find the number of stuffed animals for each design, we need to divide the total number of stuffed animals (2542) by the number of different designs (373). 2542 รท 373 = 6.8 Since we can't have a fraction of a stuffed animal, we can round up to the nearest whole number. However, in this case, it's more likely that the company would produce a whole number of stuffed animals for each design. So, we can assume that the result is 6.8, which means there are 6 stuffed animals for each design, and 373 - 6 = 367 designs have an extra stuffed animal. ### Answer: 6 (or 7 for 367 designs)
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 70B:
Reasoning: To find the distance traveled each day, we need to divide the total distance traveled (31470 feet) by the number of days (30). 31470 รท 30 = 1049 So, the bear travels 1049 feet each day. ### 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 70B:
Reasoning: To find the distance traveled each day, we need to divide the total distance traveled (31470 feet) by the new number of days (1406). 31470 รท 1406 = 22.37 (approximately) So, the bear travels approximately 22.37 feet each day. ### Answer: 22.37
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 70B:
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 รท 44 = 219 ### Answer: 219
Expected answer: 219
Correct? Yes