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?
DeepSeek 67B:
Reasoning: To find out how many seconds it will take to fully inflate the beach ball, we need to divide the total volume of air needed by the rate at which it is being filled. 73841 cubic centimeters / 41 cubic centimeters per second = 1801 seconds So, it will take 1801 seconds to fully inflate the beach ball. ### Answer: 1801
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?
DeepSeek 67B:
Reasoning: To find out how many seconds it will take to fully inflate the smaller beach ball, we need to divide the total volume of air needed by the rate at which it is being filled. 1310 cubic centimeters / 41 cubic centimeters per second = 32 seconds So, it will take 32 seconds to fully inflate the smaller beach ball. ### Answer: 32
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?
DeepSeek 67B:
Reasoning: To find out how many liters of juice are there in each container, we need to divide the total amount of juice produced by the number of containers. Solution: The total amount of juice produced is 73528 liters. The number of containers is 707. So, the amount of juice in each container is 73528/707 = <<73528/707=104>>104 liters. 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?
DeepSeek 67B:
Reasoning: To find out how many liters of juice are there in each container, we need to divide the total amount of juice produced by the number of containers. Solution: The total amount of juice produced is 2858 liters. The number of containers is 707. So, the amount of juice in each container is 2858/707 = <<2858/707=4>>4 liters. Answer: 4
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?
DeepSeek 67B:
Reasoning: To find out how many pants each store received, we need to divide the total number of pants by the number of stores. Solution: Each store received 87780/110 = <<87780/110=798>>798 pants. Answer: Each store received 798 pants.
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?
DeepSeek 67B:
Reasoning: To find out how many pants each store would have received if the factory had produced 4003 pants instead of 87780, we need to divide the new total number of pants by the number of stores. Solution: Each store would have received 4003/110 = <<4003/110=36.363636363636364>>36.363636363636364 pants. Answer: Each store would have received approximately 36.36 pants.
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?
DeepSeek 67B:
Reasoning: To find out how many bundles of carrots Farmer Bob will have, we need to divide the total number of carrots by the number of carrots in each bundle. Total number of carrots = 71820 Number of carrots in each bundle = 684 Number of bundles = Total number of carrots / Number of carrots in each bundle Number of bundles = 71820 / 684 Calculating the division: Number of bundles = 105 So, Farmer Bob will have 105 bundles of carrots. ### 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?
DeepSeek 67B:
Reasoning: To find out how many bundles of carrots Farmer Bob will have, we need to divide the total number of carrots by the number of carrots in each bundle. Total number of carrots = 71820 Number of carrots in each bundle = 2486 Number of bundles = Total number of carrots / Number of carrots in each bundle Number of bundles = 71820 / 2486 Calculating the division: Number of bundles = 28.92 Since Farmer Bob cannot have a fraction of a bundle, we need to round the result to the nearest whole number. Number of bundles = 29 So, Farmer Bob will have 29 bundles of carrots. ### 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?
DeepSeek 67B:
Reasoning: To find the usage rate per day, we need to divide the total usage by the number of days. Usage rate per day = Total usage / Number of days Usage rate per day = 85860 / 54 Usage rate per day = 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?
DeepSeek 67B:
Reasoning: To find the usage rate per day, we need to divide the total usage by the number of days. Usage rate per day = Total usage / Number of days Usage rate per day = 9018 / 54 Usage rate per day = 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?
DeepSeek 67B:
Reasoning: To find out how many inches of snow the ski resort receives each day, we need to divide the total inches of snowfall by the number of days in winter. So, 31950 inches of snowfall / 225 days = <<31950/225=142>>142 inches of snowfall per day. 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?
DeepSeek 67B:
Reasoning: To find out how many inches of snow the ski resort receives each day over a period of 1814 days, we need to divide the total inches of snowfall by the number of days. So, 31950 inches of snowfall / 1814 days = <<31950/1814=17.6>>17.6 inches of snowfall per day. 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?
DeepSeek 67B:
Reasoning: To find out how many grams of gold will be in each ring, we need to divide the total amount of gold by the number of rings. So, 63802 grams of gold / 38 rings = <<63802/38=1678.95>>1678.95 grams of gold per ring. Answer: 1678.95
Expected answer: 1679
Correct? No
Problem: A goldsmith has a total of 60544 milligrams of gold. If each ring the goldsmith makes requires exactly 5504 milligrams of gold, how many full rings can the goldsmith make?
DeepSeek 67B:
Reasoning: The goldsmith can make 60544/5504 = <<60544/5504=11>>11 full rings. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a zoo, there are 10489 animals, and they are evenly distributed in 617 cages. What is the average number of animals in each cage?
DeepSeek 67B:
Reasoning: To find the average number of animals in each cage, we need to divide the total number of animals by the total number of cages. The average number of animals in each cage is 10489/617 = <<10489/617=17>>17. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Now consider that instead of 617 cages, the 10,489 animals are evenly distributed in 5130 cages. How does the average number of animals per cage change now?
DeepSeek 67B:
Reasoning: To find the average number of animals in each cage, we need to divide the total number of animals by the total number of cages. The average number of animals in each cage is 10489/5130 = <<10489/5130=2.043>>2.043. ### Answer: 2.043
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?
DeepSeek 67B:
Reasoning: To find out how many grams of carrots will be in each bag, we need to divide the total amount of carrots by the number of bags. Solution: The number of grams of carrots in each bag will be 21652 / 5413 = <<21652/5413=4>>4 grams. 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?
DeepSeek 67B:
Reasoning: To find out how many grams of carrots will be in each bag, we need to divide the total amount of carrots by the number of bags. Solution: The number of grams of carrots in each bag will be 5652 / 5413 = <<5652/5413=1.043>>1.043 grams. Answer: 1.043
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?
DeepSeek 67B:
Reasoning: The total distance of the journey is 38745 miles, and it is divided into 5 equal stages. To find the distance traveled in each stage, we divide the total distance by the number of stages: 38745/5 = <<38745/5=7749>>7749 miles. ### Answer: 7749
Expected answer: 7749
Correct? Yes
Problem: In the previous space mission scenario, if instead, the spaceship had to divide its total travel distance of 38745 miles into 3113 equal stages, how many miles would it now have to travel in each stage?
DeepSeek 67B:
Reasoning: The total distance of the journey is 38745 miles, and it is divided into 3113 equal stages. To find the distance traveled in each stage, we divide the total distance by the number of stages: 38745/3113 = <<38745/3113=12.46>>12.46 miles. ### Answer: 12.46
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?
DeepSeek 67B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water by the number of bottles. Solution: Each bottle contains 84,564 / 261 = <<84564/261=324>>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?
DeepSeek 67B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water by the number of bottles. Solution: Each bottle contains 84,564 / 1,779 = <<84564/1779=47.5>>47.5 liters of water. ### Answer: 47.5
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?
DeepSeek 67B:
Reasoning: To find the number of pages in each volume, we need to divide the total number of pages by the number of volumes. Solution: The number of pages in each volume is 13467 / 201 = <<13467/201=67>>67 pages. 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?
DeepSeek 67B:
Reasoning: To find the energy used per hour, we need to divide the total energy used by the total hours. The total energy used is 56888 BTU and the total hours is 2188 hours. So, the energy used per hour is 56888/2188 = <<56888/2188=26>>26 BTU. ### 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?
DeepSeek 67B:
Reasoning: To find the energy used per hour, we need to divide the total energy used by the total hours. The total energy used is 56888 BTU and the total hours is 3809 hours. So, the energy used per hour is 56888/3809 = <<56888/3809=14.94>>14.94 BTU. ### Answer: 14.94
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?
DeepSeek 67B:
Reasoning: To find out how many inches of snow the town received each day, we need to divide the total snowfall by the number of days. Solution: The town received 36900 inches of snow in 82 days. So, the town received 36900/82 = <<36900/82=450>>450 inches of snow each day. Answer: 450
Expected answer: 450
Correct? Yes
Problem: In the same town, in another winter period, the total snowfall recorded was 36900 inches as well but this time across 7138 days. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day during this period?
DeepSeek 67B:
Reasoning: To find out how many inches of snow the town received each day, we need to divide the total snowfall by the number of days. Solution: The town received 36900 inches of snow in 7138 days. So, the town received 36900/7138 = <<36900/7138=5.16>>5.16 inches of snow each day. Answer: 5.16
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?
DeepSeek 67B:
Reasoning: To find out how many square kilometers each giraffe gets, we need to divide the total area of the wildlife reserve by the number of giraffes. So, 71292 square kilometers / 2742 giraffes = 26 square kilometers per giraffe. Therefore, 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?
DeepSeek 67B:
Reasoning: To find out how many square kilometers each giraffe gets, we need to divide the total area of the wildlife reserve by the number of giraffes. So, 71292 square kilometers / 8787 giraffes = 8 square kilometers per giraffe. Therefore, each giraffe would get 8 square kilometers of space. ### Answer: 8
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?
DeepSeek 67B:
Reasoning: To find the average number of lions saved per year, we need to divide the total number of lions saved by the number of years. Total number of lions saved = 96187 Number of years = 13 Average number of lions saved per year = Total number of lions saved / Number of years = 96187 / 13 = 7399 So, on average, 7399 lions were saved per year. ### Answer: 7399
Expected answer: 7399
Correct? Yes
Problem: The lion conservation project now realizes that they actually saved 96187 lions over a span of 6279 days, not 13 years. If they were still saving the same number of lions every day, how many lions were saved daily on average?
DeepSeek 67B:
Reasoning: To find the average number of lions saved per day, we need to divide the total number of lions saved by the number of days. Total number of lions saved = 96187 Number of days = 6279 Average number of lions saved per day = Total number of lions saved / Number of days = 96187 / 6279 = 15.27 (rounded to two decimal places) So, on average, 15.27 lions were saved per day. ### Answer: 15.27
Expected answer: 1057/69
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?
DeepSeek 67B:
Reasoning: To find out how many pearls each friend will receive, we need to divide the total number of pearls by the number of mermaid friends. 32812 pearls / 631 mermaid friends = 52 pearls Each friend will receive 52 pearls.
Expected answer: 52
Correct? Yes
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?
DeepSeek 67B:
Reasoning: To find out how many apples the farm produces weekly, we need to divide the total number of apples by the number of weeks in the growing season. Solution: The farm produces 36,784 apples / 19 weeks = <<36784/19=1936>>1936 apples weekly. Answer: 1936
Expected answer: 1936
Correct? Yes
Problem: Considering the previous situation, what if the farm actually produced the same number of apples over a much longer period of 152 weeks rather than 19 weeks? How many apples does the farm now produce weekly?
DeepSeek 67B:
Reasoning: To find out how many apples the farm produces weekly over a 152-week period, we need to divide the total number of apples by the number of weeks in the growing season. Solution: The farm produces 36,784 apples / 152 weeks = <<36784/152=242>>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?
DeepSeek 67B:
Reasoning: To find out how many miles the train covers in a day, we need to divide the total distance traveled by the number of days. Solution: The train travels 63245 miles / 695 days = <<63245/695=90.99>>90.99 miles in a day. Answer: 90.99
Expected answer: 91
Correct? No
Problem: A doll factory produced a total of 41772 dolls over a period of 708 days. If the factory kept up with the same daily production rate, how many dolls were being made in a day?
DeepSeek 67B:
Reasoning: To find out how many dolls were being made in a day, we need to divide the total number of dolls produced by the number of days. Solution: The factory produced 41772 dolls in 708 days. So, the number of dolls produced in a day is 41772/708 = <<41772/708=58.88888888888889>>58.88888888888889 dolls. Answer: 58.88888888888889
Expected answer: 59
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?
DeepSeek 67B:
Reasoning: The drummer needs to hit the drum 61019/7 = <<61019/7=8717>>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?
DeepSeek 67B:
Reasoning: The drummer needs to hit the drum 7454/7 = <<7454/7=1064.8571428571428>>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?
DeepSeek 67B:
Reasoning: To find out how many meters the dolphin can swim in an hour, we need to divide the total distance it can swim by the total time it takes. The dolphin can swim 98816 meters in 128 hours. So, the dolphin can swim 98816/128 = <<98816/128=770>>770 meters in an hour. ### Answer: 770
Expected answer: 772
Correct? No
Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?
DeepSeek 67B:
Reasoning: To find the average number of streams per day, we need to divide the total number of streams by the number of days. The song was streamed 71532 times in 1987 days. So, the average number of streams per day is 71532 / 1987 = <<71532/1987=35.9>>35.9. ### Answer: 35.9
Expected answer: 36
Correct? No
Problem: A compass salesman has 33046 compasses that he wants to distribute evenly among 1066 stores. How many compasses will each store receive if they are divided equally?
DeepSeek 67B:
Reasoning: To find out how many compasses each store will receive, we need to divide the total number of compasses by the number of stores. 33046 compasses / 1066 stores = 31 compasses per store Each store will receive 31 compasses.
Expected answer: 31
Correct? Yes
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?
DeepSeek 67B:
Reasoning: To find out how many carrots each plot yielded, we need to divide the total number of carrots by the number of plots. Solution: The total number of carrots is 49822 and the number of plots is 58. So, each plot yielded 49822/58 = <<49822/58=855.6236>>855.6236 carrots. Since we can't have a fraction of a carrot, we can round the answer to the nearest whole number. Answer: Each plot yielded approximately 856 carrots.
Expected answer: 859
Correct? No
Problem: There is a cloud which covers 8744 square meters of the sky and exactly the same area is revealed when the cloud dispels. If the revealed area is divided equally over the original area, what is the ratio of the revealed area to the original area?
DeepSeek 67B:
Reasoning: The revealed area is the same as the original area, which is 8744 square meters. The ratio of the revealed area to the original area is 1:1. ### Answer: 1:1
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?
DeepSeek 67B:
Reasoning: To find out how many meters the scooter travels per hour, we need to divide the total distance traveled by the battery life in hours. Solution: The scooter travels 97506 meters / 18 hours = <<97506/18=5416.944444444444>>5416.94 meters per hour. Answer: 5416.94
Expected answer: 5417
Correct? No
Problem: A star emits a total of 94548 units of light energy over a period of 7879 hours. If the star emits a constant amount of light energy every hour, how much light energy does it emit every hour?
DeepSeek 67B:
Reasoning: To find out how much light energy the star emits every hour, we need to divide the total amount of light energy by the total number of hours. Solution: The star emits 94548 units of light energy over 7879 hours. So, the star emits 94548/7879 = <<94548/7879=12>>12 units of light energy every hour. Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead, the star emitted a total of 94548 units of light energy over a shorter period of 3349 hours, still at a constant rate, how much light energy would it emit every hour now?
DeepSeek 67B:
Reasoning: To find out how much light energy the star emits every hour, we need to divide the total amount of light energy by the total number of hours. Solution: The star emits 94548 units of light energy over 3349 hours. So, the star emits 94548/3349 = <<94548/3349=28>>28 units of light energy every hour. Answer: 28
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?
DeepSeek 67B:
Reasoning: To find out how many trees are in each section, we need to divide the total number of trees by the number of sections. Solution: 80752 trees / 412 sections = 196 trees per section. Answer: There are 196 trees in each section.
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?
DeepSeek 67B:
Reasoning: To find out how many trees are in each section, we need to divide the total number of trees by the number of sections. Solution: 80752 trees / 1778 sections = 45 trees per section. Answer: There would be 45 trees in each section.
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?
DeepSeek 67B:
Reasoning: To find out how many cucumbers were harvested each day, we need to divide the total number of cucumbers by the number of days. Number of cucumbers harvested each day = Total number of cucumbers / Number of days Number of cucumbers harvested each day = 44280 / 216 Number of cucumbers harvested each day = 205 So, 205 cucumbers were harvested each day. ### 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?
DeepSeek 67B:
Reasoning: To find out how many cucumbers were harvested each day, we need to divide the total number of cucumbers by the number of days. Number of cucumbers harvested each day = Total number of cucumbers / Number of days Number of cucumbers harvested each day = 4076 / 216 Number of cucumbers harvested each day = 19 So, 19 cucumbers were harvested each day. ### Answer: 19
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?
DeepSeek 67B:
Reasoning: To find out how many cookies are in each package, we need to divide the total number of cookies by the number of packages. Solution: 77545 cookies / 1193 packages = 65 cookies per package Answer: There are 65 cookies in each package.
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?
DeepSeek 67B:
Reasoning: To find out how many cookies are in each package, we need to divide the total number of cookies by the number of packages. Solution: 77545 cookies / 1834 packages = 42 cookies per package Answer: There are 42 cookies in each package now.
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?
DeepSeek 67B:
Reasoning: The star emits 51750 units of light energy every 125 seconds. To find out how much light energy the star emits every second, we need to divide the total light energy by the number of seconds. Calculation: 51750 units / 125 seconds = 414 units/second The star emits 414 units of light energy every second.
Expected answer: 414
Correct? Yes
Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?
DeepSeek 67B:
Reasoning: To find out how many candies the factory made each day, we need to divide the total number of candies by the number of days. Solution: The factory made 25144/56 = <<25144/56=448>>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?
DeepSeek 67B:
Reasoning: To find out how many loaves of bread are needed for the party, we need to divide the total number of slices needed by the number of slices per loaf. 34240 slices / 10 slices per loaf = <<34240/10=3424>>3424 loaves of bread are needed for the party. ### 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?
DeepSeek 67B:
Reasoning: To find out how many loaves of bread are needed for the party, we need to divide the total number of slices needed by the number of slices per loaf. 7638 slices / 10 slices per loaf = <<7638/10=763.8>>763.8 loaves of bread are needed for the party. Since we can't have a fraction of a loaf, we need to round up to the nearest whole number. ### 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?
DeepSeek 67B:
Reasoning: To find out how many new trees sprout each day, we need to divide the total number of trees that sprouted over the 119 days by the number of days. Solution: The number of new trees sprouting each day is 20111 / 119 = <<20111/119=169.5>>169.5. Since we can't have a fraction of a tree, we can round the number to the nearest whole number. In this case, we round up to 170. Answer: 170
Expected answer: 169
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?
DeepSeek 67B:
Reasoning: To find out how many cans of dog food were distributed per week, we need to divide the total number of cans by the number of weeks. 91,104 cans / 52 weeks = 1,755.4814814814815 cans per week Since we can't have a fraction of a can, we need to round the result to the nearest whole number. 1,755.4814814814815 cans per week rounded to the nearest whole number is 1,755 cans per week. ### Answer: 1755
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?
DeepSeek 67B:
Reasoning: The company uses the same amount of fabric to produce each blanket, and from the total amount of fabric, they can make 18 blankets. To find out how many yards of fabric is used for each blanket, we need to divide the total amount of fabric by the number of blankets. Solution: The company uses 19944/18 = <<19944/18=1108>>1108 yards of fabric for 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?
DeepSeek 67B:
Reasoning: To find the average number of potatoes per plant, we need to divide the total number of potatoes by the total number of plants. Average potatoes per plant = Total potatoes / Total plants Average potatoes per plant = 45764 / 2692 Average potatoes per plant = 17 So, on average, each plant produces 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?
DeepSeek 67B:
Reasoning: To find the new average number of potatoes per plant, we need to divide the new total number of potatoes by the total number of plants. New average potatoes per plant = New total potatoes / Total plants New average potatoes per plant = 7664 / 2692 New average potatoes per plant = 2.84 (rounded to two decimal places) So, with the new total of potatoes, each plant produces an average of 2.84 potatoes. ### Answer: 2.84
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?
DeepSeek 67B:
Reasoning: To find out how many marshmallows are made each hour, we need to divide the total number of marshmallows produced by the total number of hours. So, 85560 marshmallows / 713 hours = 120 marshmallows per hour. Therefore, the factory produces 120 marshmallows each hour. ### 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?
DeepSeek 67B:
Reasoning: To find out how many marshmallows are made each hour, we need to divide the total number of marshmallows produced by the total number of hours. So, 85560 marshmallows / 7544 hours = 11.33 marshmallows per hour. Therefore, the factory produces 11.33 marshmallows each hour during this period. ### 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?
DeepSeek 67B:
Reasoning: To find the number of plots on the farm, we need to divide the total area by the area of each plot. Total area = 49,928 square meters Area of each plot = 6,241 square meters Number of plots = Total area / Area of each plot Number of plots = 49,928 / 6,241 Calculating the division: Number of plots = 8 There are 8 plots on the farm.
Expected answer: 8
Correct? Yes
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?
DeepSeek 67B:
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 by the number of days. Solution: The total amount of flour used is 62118 grams. The number of days is 2142. So, the amount of flour used each day is 62118 / 2142 = 29 grams. 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?
DeepSeek 67B:
Reasoning: To find out how many grams of flour were used to make cookies each day with the corrected number of days, we need to divide the total amount of flour used by the new number of days. Solution: The total amount of flour used is still 62118 grams. The new number of days is 2755. So, the amount of flour used each day with the corrected number of days is 62118 / 2755 = 22.6 grams. Answer: 22.6
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?
DeepSeek 67B:
Reasoning: The shoemaker has 91100 centimeters of shoelaces and he distributes them equally in 3644 pairs of shoes. To find out how many centimeters of shoelace each pair gets, we need to divide the total length of shoelaces by the number of pairs of shoes. So, 91100 centimeters / 3644 pairs = 25 centimeters per pair. ### 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?
DeepSeek 67B:
Reasoning: The shoemaker has 91100 centimeters of shoelaces and he distributes them equally in 9498 pairs of shoes. To find out how many centimeters of shoelace each pair gets, we need to divide the total length of shoelaces by the number of pairs of shoes. So, 91100 centimeters / 9498 pairs = 9.6 centimeters per pair. ### Answer: 9.6
Expected answer: 45550/4749
Correct? No
Problem: A farmer harvests 505 bushels of apples and equally distributes them into 5 bins. How many bushels of apples does each bin contain?
DeepSeek 67B:
Reasoning: The farmer equally distributes 505 bushels of apples into 5 bins, so each bin contains 505/5 = <<505/5=101>>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?
DeepSeek 67B:
Reasoning: The farmer equally distributes 7798 bushels of apples into 5 bins, so each bin contains 7798/5 = <<7798/5=1559.6>>1559.6 bushels of apples. ### Answer: 1559.6
Expected answer: 7798/5
Correct? Yes
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?
DeepSeek 67B:
Reasoning: To find out how many confetti pieces were there per square foot, we need to divide the total number of confetti pieces by the total area. Solution: The number of confetti pieces per square foot is 65325 / 5025 = <<65325/5025=13>>13 confetti pieces per square foot. ### 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?
DeepSeek 67B:
Reasoning: To find out how many confetti pieces were there per square foot, we need to divide the total number of confetti pieces by the total area. Solution: The number of confetti pieces per square foot is 65325 / 9944 = <<65325/9944=6.57>>6.57 confetti pieces per square foot. ### 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?
DeepSeek 67B:
Reasoning: To find out how many crayons are in each box, we need to divide the total number of crayons by the number of boxes. Solution: 26691 crayons / 123 boxes = 216 crayons per box Answer: There are 216 crayons in each box.
Expected answer: 217
Correct? No
Problem: A firefighter unit extinguished a total of 45843 fires over the course of 413 weeks. If the firefighter unit extinguished the same number of fires each week, how many fires did they extinguish per week?
DeepSeek 67B:
Reasoning: To find out how many fires the firefighter unit extinguished per week, we need to divide the total number of fires by the number of weeks. Total number of fires = 45843 Number of weeks = 413 Number of fires per week = Total number of fires / Number of weeks Number of fires per week = 45843 / 413 Calculating the division: Number of fires per week = 111 The firefighter unit extinguished 111 fires per week. ### 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?
DeepSeek 67B:
Reasoning: To find out how many fires the firefighter unit extinguished per week, we need to divide the total number of fires by the number of weeks. Total number of fires = 45843 Number of weeks = 4913 Number of fires per week = Total number of fires / Number of weeks Number of fires per week = 45843 / 4913 Calculating the division: Number of fires per week = 9 The firefighter unit extinguished 9 fires per week. ### Answer: 9
Expected answer: 45843/4913
Correct? No
Problem: A park is 57546 square meters large and is divided into 9591 identical sections. What is the area of each section in square meters?
DeepSeek 67B:
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 / Number of sections Area of each section = 57546 / 9591 Area of each section = 6 The area of each section is 6 square meters. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After re-evaluating the park layout, the park authority has decided to divide the 57546 square meter park into 131 identical sections instead of 9591. What is the area of each section in square meters now?
DeepSeek 67B:
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 / Number of sections Area of each section = 57546 / 131 Area of each section = 439 The area of each section is 439 square meters. ### 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?
DeepSeek 67B:
Reasoning: To find out how many toothpaste tubes are generated from one box of raw materials, we need to divide the total number of toothpaste tubes produced by the number of boxes of raw materials used. Let's calculate: Number of toothpaste tubes generated from one box of raw materials = Total number of toothpaste tubes produced / Number of boxes of raw materials used Number of toothpaste tubes generated from one box of raw materials = 93822 / 4938 Calculating the division: Number of toothpaste tubes generated from one box of raw materials = 19 So, 19 toothpaste tubes are generated from one box of raw materials. ### 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?
DeepSeek 67B:
Reasoning: To find out how many toothpaste tubes are now generated from one box of raw materials, we need to divide the new total number of toothpaste tubes produced by the number of boxes of raw materials used. Let's calculate: Number of toothpaste tubes generated from one box of raw materials = New total number of toothpaste tubes produced / Number of boxes of raw materials used Number of toothpaste tubes generated from one box of raw materials = 9206 / 4938 Calculating the division: Number of toothpaste tubes generated from one box of raw materials = 1.86 (rounded to two decimal places) So, 1.86 toothpaste tubes are now generated from one box of raw materials. ### Answer: 1.86
Expected answer: 4603/2469
Correct? No
Problem: A park's Jungle gym is used by a total of 40740 children over the span of 84 days. If the Jungle gym is used by the same number of kids each day, how many children use the Jungle gym each day?
DeepSeek 67B:
Reasoning: To find out how many children use the Jungle gym each day, we need to divide the total number of children by the number of days. Total number of children = 40740 Number of days = 84 Number of children using the Jungle gym each day = Total number of children / Number of days = 40740 / 84 = 485 So, 485 children use the Jungle gym each day. ### Answer: 485
Expected answer: 485
Correct? Yes
Problem: Imagine now that over a period of 84 days, 8576 children use the park's Jungle gym instead of 40740 children. If the Jungle gym is used equally by kids each day, how many children are now using the Jungle gym per day?
DeepSeek 67B:
Reasoning: To find out how many children use the Jungle gym each day, we need to divide the total number of children by the number of days. Total number of children = 8576 Number of days = 84 Number of children using the Jungle gym each day = Total number of children / Number of days = 8576 / 84 = 102 So, 102 children use the Jungle gym each day. ### Answer: 102
Expected answer: 2144/21
Correct? No
Problem: A snowman competition uses 39482 cc (cubic centimeters) of snow to make 38 identical snowmen. How many cubic centimeters of snow are used for each snowman?
DeepSeek 67B:
Reasoning: To find out how many cubic centimeters of snow are used for each snowman, we need to divide the total amount of snow used by the number of snowmen. 39482 cc / 38 snowmen = 1040 cc So, each snowman uses 1040 cubic centimeters of snow. ### 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.
DeepSeek 67B:
Reasoning: To find the area of each smaller square, we need to divide the total area of the large window by the number of smaller squares. Solution: The total area of the large window is 67673 square inches. The number of smaller squares is 1147. So, the area of each smaller square is 67673 / 1147 = 58.9 square inches. Answer: Each smaller square has an area of 58.9 square inches.
Expected answer: 59
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?
DeepSeek 67B:
Reasoning: To find out how many oranges each tree produces, we need to divide the total number of oranges by the number of trees. So, 49,920 oranges / 195 trees = <<49920/195=256>>256 oranges per tree. Therefore, 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?
DeepSeek 67B:
Reasoning: To find out how many oranges each of the selected trees produces, we need to divide the total number of oranges by the number of selected trees. So, 49,920 oranges / 9,289 trees = <<49920/9289=5.36>>5.36 oranges per tree. Therefore, each of the selected trees produces approximately 5.36 oranges. ### Answer: 5.36
Expected answer: 49920/9289
Correct? No
Problem: A consumption study found that 34160 children had a sandwich for lunch out of the total 4270 schools in the country. If every school has an equal number of children, how many children in each school had a sandwich for lunch?
DeepSeek 67B:
Reasoning: To find out how many children in each school had a sandwich for lunch, we need to divide the total number of children who had a sandwich by the total number of schools. Number of children who had a sandwich = 34160 Number of schools = 4270 Number of children in each school who had a sandwich = 34160 / 4270 Calculating the result: Number of children in each school who had a sandwich = 34160 / 4270 = 8 Therefore, 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?
DeepSeek 67B:
Reasoning: To find out how many children in each school had a sandwich for lunch, we need to divide the total number of children who had a sandwich by the total number of schools. Number of children who had a sandwich = 34160 Number of schools = 7823 Number of children in each school who had a sandwich = 34160 / 7823 Calculating the result: Number of children in each school who had a sandwich = 34160 / 7823 = 4.35 (rounded to two decimal places) Therefore, 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?
DeepSeek 67B:
Reasoning: The number of times you can brush your teeth with the toothpaste tube is equal to the total amount of toothpaste in the tube divided by the amount of toothpaste used per brushing. So, the number of times you can brush your teeth is 3366/306 = <<3366/306=11>>11 times. ### 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?
DeepSeek 67B:
Reasoning: The number of times you can brush your teeth with the toothpaste tube is equal to the total amount of toothpaste in the tube divided by the amount of toothpaste used per brushing. So, the number of times you can brush your teeth is 9060/306 = <<9060/306=29.6>>29.6 times. ### Answer: 29.6
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?
DeepSeek 67B:
Reasoning: To find out how many towels are in each box, we need to divide the total number of towels by the number of boxes. Solution: The number of towels in each box is 49742 / 1309 = <<49742/1309=38>>38 towels. 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?
DeepSeek 67B:
Reasoning: To find out how many towels are in each box, we need to divide the total number of towels by the number of boxes. Solution: The number of towels in each box is 8337 / 1309 = <<8337/1309=6.4>>6.4 towels. Answer: 6.4
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?
DeepSeek 67B:
Reasoning: To find out how many messages the alien civilization sends per day, we need to divide the total number of messages by the total number of days. Total number of messages = 43134 Total number of days = 3318 Number of messages per day = Total number of messages / Total number of days Number of messages per day = 43134 / 3318 Calculating the division: Number of messages per day = 13 The alien civilization sends 13 messages per day.
Expected answer: 13
Correct? Yes
Problem: A school district has 80,011 students who are equally distributed across 31 school buses. How many students are there per bus?
DeepSeek 67B:
Reasoning: To find out how many students are there per bus, we need to divide the total number of students by the number of school buses. Total number of students = 80,011 Number of school buses = 31 Number of students per bus = Total number of students / Number of school buses Number of students per bus = 80,011 / 31 Calculating the result: Number of students per bus = 2,548.74193548387 Since we cannot have a fraction of a student, we need to round the result to the nearest whole number. Number of students per bus = 2,549 Answer: 2,549
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?
DeepSeek 67B:
Reasoning: To find out how many cameras are sold daily, we need to divide the total number of cameras sold by the number of days. Number of cameras sold daily = Total number of cameras sold / Number of days Number of cameras sold daily = 54020 / 730 Number of cameras sold daily = 74 So, the camera store sells 74 cameras daily. ### 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?
DeepSeek 67B:
Reasoning: To find out how many cameras are now sold daily, we need to divide the total number of cameras sold by the number of days. Number of cameras sold daily = Total number of cameras sold / Number of days Number of cameras sold daily = 54020 / 5546 Number of cameras sold daily = 9.74 So, the camera store now sells approximately 9.74 cameras daily. ### Answer: 9.74
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?
DeepSeek 67B:
Reasoning: To find out how many liters of ice cream each container can accommodate, we need to divide the total amount of ice cream by the number of containers. So, 25774 liters of ice cream / 526 containers = 49 liters of ice cream per container. Therefore, each container can accommodate 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?
DeepSeek 67B:
Reasoning: To find out how many liters of ice cream each container can accommodate, we need to divide the total amount of ice cream by the number of containers. So, 25774 liters of ice cream / 418 containers = 61.5 liters of ice cream per container. Therefore, each container can accommodate 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?
DeepSeek 67B:
Reasoning: To find the number of miles each bus drives in a week, we need to divide the total miles driven by the number of buses. Number of miles driven by each bus = Total miles driven / Number of buses Number of miles driven by each bus = 85300 / 3412 Number of miles driven by each bus = 24.99 (rounded to two decimal places) Therefore, each bus drives approximately 24.99 miles in a week. ### Answer: 24.99
Expected answer: 25
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?
DeepSeek 67B:
Reasoning: To find out how much energy the wind turbine produces per hour, we need to divide the total energy generated by the number of hours. Total energy generated = 92250 kilowatts Number of hours = 75 Energy produced per hour = Total energy generated / Number of hours Energy produced per hour = 92250 / 75 Calculating the result, Energy produced per hour = 1230 kilowatts Therefore, the wind turbine produces 1230 kilowatts of energy per hour. ### Answer: 1230
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?
DeepSeek 67B:
Reasoning: To find out how much energy the wind turbine produces per hour, we need to divide the total energy generated by the number of hours. Total energy generated = 5837 kilowatts Number of hours = 75 Energy produced per hour = Total energy generated / Number of hours Energy produced per hour = 5837 / 75 Calculating the result, Energy produced per hour = 77.82666666666667 kilowatts Therefore, the wind turbine now produces approximately 77.83 kilowatts of energy per hour. ### Answer: 77.83
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?
DeepSeek 67B:
Reasoning: To find the average grams gained per day, we need to divide the total grams gained by the number of days. Average grams gained per day = Total grams gained / Number of days Average grams gained per day = 3734 grams / 1867 days Average grams gained per day = 2 grams The baby gained an average of 2 grams per day. ### 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?
DeepSeek 67B:
Reasoning: To find the average grams gained per day, we need to divide the total grams gained by the number of days. Average grams gained per day = Total grams gained / Number of days Average grams gained per day = 3734 grams / 1651 days Average grams gained per day = 2.26 grams The baby gained an average of 2.26 grams per day. ### 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?
DeepSeek 67B:
Reasoning: To find out how many liters of water are released per minute, we need to divide the total amount of water released by the number of minutes. So, 33,532 liters / 8,383 minutes = 4 liters per minute. Therefore, 4 liters of water are released 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?
DeepSeek 67B:
Reasoning: To find out how many liters of water are released per minute with this hose, we need to divide the total amount of water released by the number of minutes. So, 33,532 liters / 7,845 minutes = 4.27 liters per minute. Therefore, 4.27 liters of water are released per minute with this hose. ### Answer: 4.27
Expected answer: 33532/7845
Correct? No
Problem: A farmer collects eggs from her chickens. She collects a total of 96,120 eggs evenly from 20 chickens. How many eggs does each chicken contribute?
DeepSeek 67B:
Reasoning: The total number of eggs collected is 96,120. The number of chickens is 20. To find out how many eggs each chicken contributes, we need to divide the total number of eggs by the number of chickens. So, 96,120 / 20 = 4,806 eggs per chicken. ### 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?
DeepSeek 67B:
Reasoning: The total number of eggs collected is 96,120. The number of chickens is 9,046. To find out how many eggs each chicken contributed, we need to divide the total number of eggs by the number of chickens. So, 96,120 / 9,046 = 10.62 eggs per chicken. ### 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?
DeepSeek 67B:
Reasoning: The town receives 11458 millimeters of rain over 17 days. To find out how much rain the town receives each day, we need to divide the total amount of rain by the number of days. So, 11458 millimeters / 17 days = <<11458/17=674>>674 millimeters of rain each day. ### Answer: 674
Expected answer: 674
Correct? Yes
Problem: Instead of 11458 millimeters of rain falling over 17 days, suppose now that 11458 millimeters of rain fell over 8513 days. How much rain does the town now receive each day if it rains the same amount every day?
DeepSeek 67B:
Reasoning: The town receives 11458 millimeters of rain over 8513 days. To find out how much rain the town receives each day, we need to divide the total amount of rain by the number of days. So, 11458 millimeters / 8513 days = <<11458/8513=1.35>>1.35 millimeters of rain each day. ### Answer: 1.35
Expected answer: 11458/8513
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?
DeepSeek 67B:
Reasoning: To find out how many pens were produced every hour, we need to divide the total number of pens produced by the total number of hours. Number of pens produced every hour = Total number of pens produced / Total number of hours Number of pens produced every hour = 2526 / 842 Number of pens produced every hour = 3 So, 3 pens were produced 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?
DeepSeek 67B:
Reasoning: To find out how many pens were produced every hour, we need to divide the total number of pens produced by the total number of hours. Number of pens produced every hour = Total number of pens produced / Total number of hours Number of pens produced every hour = 2526 / 547 Number of pens produced every hour = 4.6 So, 4.6 pens would have been produced every hour. ### Answer: 4.6
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?
DeepSeek 67B:
Reasoning: To find out how many erasers each classroom gets, we need to divide the total number of erasers by the number of classrooms. 285 erasers / 19 classrooms = 15 erasers Each classroom gets 15 erasers.
Expected answer: 15
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The penguin's speed is the distance it covers divided by the time it takes. The distance the penguin covers is 41020 feet and the time it takes is 5 hours. So, the penguin's speed is 41020/5 = <<41020/5=8204>>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?
DeepSeek 67B:
Reasoning: The penguin's speed is the distance it covers divided by the time it takes. The distance the penguin covers is 4325 feet and the time it takes is 5 hours. So, the penguin's speed is 4325/5 = <<4325/5=865>>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?
DeepSeek 67B:
Reasoning: To find out how many gallons of water each section holds, we need to divide the total capacity of the reservoir by the number of sections. The total capacity of the reservoir is 63360 gallons and it is divided into 576 equal sections. So, each section holds 63360/576 = <<63360/576=110>>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?
DeepSeek 67B:
Reasoning: To find out how many gallons of water each section holds, we need to divide the total capacity of the reservoir by the number of sections. The total capacity of the reservoir is 63360 gallons and it is divided into 9999 equal sections. So, each section holds 63360/9999 = <<63360/9999=6.34>>6.34 gallons of water. ### Answer: 6.34
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?
DeepSeek 67B:
Reasoning: To find out how many skirts each store got, we need to divide the total number of skirts by the number of stores. Solution: 21868 skirts / 77 stores = 283 skirts per store. Each store got 283 skirts.
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?
DeepSeek 67B:
Reasoning: To find the average number of minutes of advertisements shown each day, we need to divide the total number of minutes of advertisements by the number of days. So, the average number of minutes of advertisements shown each day is 56109 / 59 = <<56109/59=950>>950 minutes. ### 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?
DeepSeek 67B:
Reasoning: To find the number of marks in each exam paper, we need to divide the total number of marks by the total number of exam papers. Solution: The number of marks in each exam paper is 59748 / 1149 = <<59748/1149=52>>52. Answer: 52
Expected answer: 52
Correct? Yes
Problem: If the teacher, instead of marking 59748 marks, marked a total of 7117 marks distributed evenly over the same 1149 exam papers, how many marks would be in each exam paper now?
DeepSeek 67B:
Reasoning: To find the number of marks in each exam paper, we need to divide the total number of marks by the total number of exam papers. Solution: The number of marks in each exam paper is 7117 / 1149 = <<7117/1149=6.166666666666667>>6.166666666666667. Answer: 6.166666666666667
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?
DeepSeek 67B:
Reasoning: To find out how many liters of water each house will get, we need to divide the total amount of water in the reservoir by the number of houses. Calculation: 44840 liters / 76 houses = 588 liters Each house will get 588 liters of water.
Expected answer: 590
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?
DeepSeek 67B:
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. Calculation: 5385 eggs / 359 flowers = 15 eggs per flower Answer: The butterfly laid 15 eggs on each flower.
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?
DeepSeek 67B:
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. Calculation: 9710 eggs / 359 flowers = 27 eggs per flower Answer: The butterfly laid 27 eggs on each flower in this case.
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?
DeepSeek 67B:
Reasoning: To find the number of pixels in each row, we need to divide the total number of pixels by the number of rows. Solution: 95038 pixels / 61 rows = 1557 pixels per row Answer: There are 1557 pixels in each row.
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?
DeepSeek 67B:
Reasoning: To find out how many ice cream cones are made each day, we need to divide the total number of cones produced by the number of days. Solution: The number of ice cream cones made each day is 45580/53 = <<45580/53=860>>860. Answer: 860
Expected answer: 860
Correct? Yes
Problem: The same ice cream factory has adjusted their volume and now makes a total of 4660 cones over the same 53 day period. If production is still uniform, how many ice cream cones are they making each day now?
DeepSeek 67B:
Reasoning: To find out how many ice cream cones are made each day, we need to divide the total number of cones produced by the number of days. Solution: The number of ice cream cones made each day is 4660/53 = <<4660/53=88>>88. Answer: 88
Expected answer: 4660/53
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?
DeepSeek 67B:
Reasoning: To find out how many square inches of fabric each towel gets, we need to divide the total amount of fabric by the number of towels. Solution: The total amount of fabric is 36135 square inches and there are 219 towels. So, each towel gets 36135/219 = <<36135/219=165>>165 square inches of fabric. Answer: Each towel gets 165 square inches of fabric.
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?
DeepSeek 67B:
Reasoning: To find out how much energy the fireplace burns in one hour, we need to divide the total energy burned by the total number of hours. 36300 kJ / 4 hours = 9075 kJ/hour So, the fireplace burns 9075 kilojoules of energy in one 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?
DeepSeek 67B:
Reasoning: To find out how much energy the fireplace burns in one hour, we need to divide the total energy burned by the total number of hours. 8712 kJ / 4 hours = 2178 kJ/hour So, this fireplace burns 2178 kilojoules of energy in one 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?
DeepSeek 67B:
Reasoning: The total amount of snow provided to all the teams is 51156 kilograms. Since there are 9 teams, we need to divide the total amount of snow by the number of teams to find out how much snow each team got. So, each team got 51156/9 = <<51156/9=5684>>5684 kilograms of snow. ### 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?
DeepSeek 67B:
Reasoning: The total amount of snow available for the teams is now 6407 kilograms. Since there are still 9 teams, we need to divide the total amount of snow by the number of teams to find out how much snow each team got. So, each team would get 6407/9 = <<6407/9=711.89>>711.89 kilograms of snow. ### Answer: 711.89
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?
DeepSeek 67B:
Reasoning: To find out how many apples were harvested each day, we need to divide the total number of apples by the number of days. So, 56250 apples / 30 days = <<56250/30=1875>>1875 apples per day. 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?
DeepSeek 67B:
Reasoning: To find out how many apples were harvested each day, we need to divide the total number of apples by the number of days. So, 56250 apples / 3028 days = <<56250/3028=18.58>>18.58 apples per day. Answer: 18.58
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?
DeepSeek 67B:
Reasoning: The baby spoke her first word after 82992 seconds. If one day is considered 1729 seconds, then the number of days the baby was awake before speaking her first word is 82992/1729. Calculating the result: 82992/1729 = 48 The baby spoke her first word after 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?
DeepSeek 67B:
Reasoning: The baby spoke her first word after 8741 seconds. If one day is considered 1729 seconds, then the number of days the baby was awake before speaking her first word is 8741/1729. Calculating the result: 8741/1729 = 5 The baby spoke her first word after 5 days. ### 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?
DeepSeek 67B:
Reasoning: We can set up a proportion to solve this problem. Let x be the number of centimeters on the map that represent 1 kilometer in real life. We can set up the proportion: 91368 centimeters / 216 kilometers = x centimeters / 1 kilometer Cross-multiplying, we get: 91368 centimeters * 1 kilometer = 216 kilometers * x centimeters Simplifying, we get: 91368 = 216x Dividing both sides by 216, we get: x = 91368 / 216 Calculating, we get: x = 423.52381 Therefore, 424 centimeters on the map represent 1 kilometer in real life. ### Answer: 424
Expected answer: 423
Correct? No
Problem: A fashion designer plans to use 33536 beads to embellish a dress uniformly across 131 different sections. How many beads will be used for each section?
DeepSeek 67B:
Reasoning: To find out how many beads will be used for each section, we need to divide the total number of beads by the number of sections. Calculation: 33536 beads / 131 sections = 256 beads per section Answer: Each section will have 256 beads.
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?
DeepSeek 67B:
Reasoning: To find out how many beads will be used for each section, we need to divide the total number of beads by the number of sections. Calculation: 33536 beads / 3206 sections = 10.45 beads per section Answer: Each section will have approximately 10.45 beads.
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?
DeepSeek 67B:
Reasoning: To find out how many gallons the firefighter sprays each minute, we need to divide the total gallons sprayed by the total minutes. Solution: The firefighter sprays 69966/299 = <<69966/299=233>>233 gallons each minute. ### Answer: 233
Expected answer: 234
Correct? No
Problem: The latest model of window that a company has designed will require 6354 square inches of glass material. The manufacturer's current stock can cover 2118 same-sized windows. How many square inches of glass are required for a single window?
DeepSeek 67B:
Reasoning: The total amount of glass material required for 2118 windows is 6354 square inches. To find out how many square inches of glass are required for a single window, we need to divide the total amount of glass material by the number of windows. So, 6354 square inches / 2118 windows = 3 square inches. Therefore, 3 square inches of glass are required for a single window. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: After revising their design slightly, the company now finds that they will only need 6354 square inches of glass material to produce 6122 of the new model of windows. How many square inches of glass are now required for each of the new model windows?
DeepSeek 67B:
Reasoning: The total amount of glass material required for 6122 windows is 6354 square inches. To find out how many square inches of glass are required for a single window, we need to divide the total amount of glass material by the number of windows. So, 6354 square inches / 6122 windows = 1.035 square inches. Therefore, 1.035 square inches of glass are now required for each of the new model windows. ### Answer: 1.035
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?
DeepSeek 67B:
Reasoning: To find out how many centimeters the frog jumps per jump, we need to divide the total distance jumped by the number of jumps. The total distance jumped is 12288 centimeters and the number of jumps is 512. So, the frog jumps 12288/512 = <<12288/512=24>>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?
DeepSeek 67B:
Reasoning: To find out how many centimeters the frog now jumps per jump, we need to divide the total distance jumped by the number of jumps. The total distance jumped is 9064 centimeters and the number of jumps is 512. So, the frog now jumps 9064/512 = <<9064/512=17.7>>17.7 centimeters per jump. ### Answer: 17.7
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?
DeepSeek 67B:
Reasoning: To find out how many flowers are in each pot, we need to divide the total number of flowers by the number of pots. Solution: 1392 flowers / 116 pots = 12 flowers per pot So, there are 12 flowers in each pot.
Expected answer: 12
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The ice cream shop sold 31,176/9 = <<31176/9=3464>>3464 scoops of ice cream each week. ### Answer: 3464
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?
DeepSeek 67B:
Reasoning: The ice cream shop sold 31,176/4035 = <<31176/4035=7.716>>7.716 scoops of ice cream each day. ### Answer: 7.716
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?
DeepSeek 67B:
Reasoning: The mouse runs 14824 meters in 4 hours. To find the rate per hour, we divide the total distance by the total time. So, the mouse runs 14824/4 = <<14824/4=3706>>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?
DeepSeek 67B:
Reasoning: To find out how many bananas each monkey would get, we need to divide the total number of bananas by the number of monkeys. 88,508 bananas / 406 monkeys = 218 bananas Each monkey would get 218 bananas.
Expected answer: 218
Correct? Yes
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?
DeepSeek 67B:
Reasoning: If each table has 2 legs, then the total number of tables can be found by dividing the total number of legs by 2. So, the hotel owner is ordering 15110/2 = <<15110/2=7555>>7555 tables. Answer: 7555
Expected answer: 7555
Correct? Yes
Problem: The furniture maker later realizes that there was a mistake in the initial order, and the hotel owner actually only wanted 3774 table legs, with each table having 2 legs. With this corrected order, how many tables is the hotel owner actually ordering?
DeepSeek 67B:
Reasoning: If each table has 2 legs, then the total number of tables can be found by dividing the total number of legs by 2. So, the hotel owner is actually ordering 3774/2 = <<3774/2=1887>>1887 tables. Answer: 1887
Expected answer: 1887
Correct? Yes
Problem: A hat maker has 3560 feathers which will be used to decorate hats. If each hat will have 890 feathers, how many hats can be made?
DeepSeek 67B:
Reasoning: The number of hats that can be made is equal to the total number of feathers divided by the number of feathers per hat. So, the number of hats that can be made is 3560/890 = <<3560/890=4>>4. ### 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?
DeepSeek 67B:
Reasoning: The number of hats that can be made is equal to the total number of feathers divided by the number of feathers per hat. So, the number of hats that can be made is 1416/890 = <<1416/890=1.59>>1.59. Since the number of hats must be a whole number, the hat maker can produce 1 hat. ### Answer: 1
Expected answer: 708/445
Correct? No
Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?
DeepSeek 67B:
Reasoning: To find out how many points each player has, we need to divide the total number of points by the number of players. Solution: Each player has 17394/3 = <<17394/3=5798>>5798 points. ### 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?
DeepSeek 67B:
Reasoning: To find out how many points each player has, we need to divide the total number of points by the number of players. Solution: Each player has 17394/7489 = <<17394/7489=2.3176>>2.3176 points. ### Answer: 2.3176
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?
DeepSeek 67B:
Reasoning: The total number of acres in the park is 3276. The number of sections is 126. To find the number of acres in each section, we divide the total number of acres by the number of sections. 3276 acres / 126 sections = 26 acres per section. The answer is: 26
Expected answer: 26
Correct? Yes
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?
DeepSeek 67B:
Reasoning: The manufacturer has 54736 yards of fabric and wants to make 11 pairs of pants. To find out how many yards of fabric are needed for each pair, we need to divide the total fabric by the number of pairs. So, 54736 yards / 11 pairs = 4976 yards per pair. ### 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?
DeepSeek 67B:
Reasoning: The manufacturer now has 4769 yards of fabric and wants to make 11 pairs of pants. To find out how many yards of fabric are needed for each pair, we need to divide the total fabric by the number of pairs. So, 4769 yards / 11 pairs = 433.5454545454545 yards per pair. ### Answer: 433.5454545454545
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?
DeepSeek 67B:
Reasoning: The minute hand of a clock rotates 360 degrees in one hour. To find out how many degrees it rotates in 18 hours, we can divide the total rotation by the number of hours. 49716 degrees / 18 hours = 2762 degrees per 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?
DeepSeek 67B:
Reasoning: The minute hand of a clock rotates 360 degrees in one hour. To find out how many degrees it rotates in 9706 hours, we can divide the total rotation by the number of hours. 49716 degrees / 9706 hours = 5.12 degrees per hour. ### Answer: 5.12
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?
DeepSeek 67B:
Reasoning: To find out how many stuffed animals are there for each design, we need to divide the total number of stuffed animals by the number of designs. So, 1865 stuffed animals / 373 designs = 5 stuffed animals per 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?
DeepSeek 67B:
Reasoning: To find out how many stuffed animals are there for each design, we need to divide the total number of stuffed animals by the number of designs. So, 2542 stuffed animals / 373 designs = 6.8 stuffed animals per design. ### Answer: 6.8
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?
DeepSeek 67B:
Reasoning: To find out how many feet the bear travels each day, we need to divide the total distance traveled by the number of days. The total distance traveled by the bear is 31470 feet, and it traveled for 30 days. So, the bear travels 31470/30 = <<31470/30=1049>>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?
DeepSeek 67B:
Reasoning: To find out how many feet the bear travels each day, we need to divide the total distance traveled by the number of days. The total distance traveled by the bear is 31470 feet, and it traveled for 1406 days. So, the bear travels 31470/1406 = <<31470/1406=22.4>>22.4 feet each day. ### Answer: 22.4
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?
DeepSeek 67B:
Reasoning: To find out how many pen units each retailer received, we need to divide the total number of pen units produced by the number of retailers. Solution: Each retailer received 9636 / 44 = <<9636/44=218.54545454545455>>218.54545454545455 pen units. Since we can't have a fraction of a pen, we need to round the result to the nearest whole number. Each retailer received 219 pen units. ### Answer: 219
Expected answer: 219
Correct? Yes