Mixtral 8x22B on 6.NS.B.2
Common Core Standard 6.NS.B.2
This standard covers the following:
Fluently divide multi-digit numbers using the standard algorithm.
Problem: There are 73841 cubic centimeters of air needed to inflate a large beach ball. If we fill the ball up at a rate of 41 cubic centimeters per second, how many seconds will it take to fully inflate the beach ball?
Mixtral 8x22B:
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 we are filling the ball. 73841 cm³ / 41 cm³/s = <<73841/41=1800.9999999999998>>1801 seconds (rounded up to the nearest whole number) ### 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?
Mixtral 8x22B:
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 we are filling the ball. 1310 cm³ / 41 cm³/s = <<1310/41=31.95121951219512>>32 seconds (rounded up to the nearest whole number) ### 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?
Mixtral 8x22B:
Reasoning: The company filled 73528/707 = <<73528/707=104.00000000000001>>104 liters of juice into each container. ### Answer: 104 liters
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?
Mixtral 8x22B:
Reasoning: The company filled 2858/707 = <<2858/707=4.0400000000000005>>4.04 liters of juice into each container. ### Answer: 4.04 liters
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?
Mixtral 8x22B:
Reasoning: The pants factory distributed 87780/110 = <<87780/110=800>>800 pants to each store. ### Answer: 800
Expected answer: 798
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?
Mixtral 8x22B:
Reasoning: Farmer Bob will make 71820/684 = <<71820/684=105>>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?
Mixtral 8x22B:
Reasoning: Farmer Bob will make 71820/2486 = <<71820/2486=29>>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?
Mixtral 8x22B:
Reasoning: The slide has been used 85860/54 = <<85860/54=1590>>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?
Mixtral 8x22B:
Reasoning: The slide has been used 9018/54 = <<9018/54=167>>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?
Mixtral 8x22B:
Reasoning: The ski resort receives 31950/225 = <<31950/225=142>>142 inches of snow each 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?
Mixtral 8x22B:
Reasoning: The ski resort would receive 31950/1814 = <<31950/1814=17.61>>17.61 inches of snow each day. ### Answer: 17.61
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?
Mixtral 8x22B:
Reasoning: The total weight of gold is 63802 grams, and they want to make 38 rings. To find the weight of each ring, we divide the total weight of gold by the number of rings: 63802/38 = <<63802/38=1679>>1679 grams of gold per ring. ### Answer: 1679 grams <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The total weight of gold is now 5240 grams, and they still want to make 38 rings. To find the weight of each ring, we divide the total weight of gold by the number of rings: 5240/38 = <<5240/38=137.894736842105>>137.894736842105 grams of gold per ring. However, since the weight of each ring must be a whole number, we can round this number to the nearest whole number. In this case, we can round it to 138 grams per ring. ### Answer: 138 grams
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?
Mixtral 8x22B:
Reasoning: The goldsmith can make 60544/5504 = <<60544/5504=11.000000000000001>>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?
Mixtral 8x22B:
Reasoning: The average number of animals in each cage is 10489/617 = <<10489/617=17>>17 animals per cage. ### 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?
Mixtral 8x22B:
Reasoning: The average number of animals in each cage is now 10489/5130 = <<10489/5130=2.044639376>>2.044639376 animals per cage. ### Answer: 2.044639376
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?
Mixtral 8x22B:
Reasoning: The farmer has 21652/5413 = <<21652/5413=4>>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?
Mixtral 8x22B:
Reasoning: The farmer has 5652/5413 = <<5652/5413=1.0441>>1.0441 grams of carrots in each bag. ### Answer: 1.0441
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?
Mixtral 8x22B:
Reasoning: The total distance is divided into 5 equal stages, so the distance traveled in each stage is 38745/5 = <<38745/5=7749>>7749 miles. ### Answer: 7749 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The total distance is divided into 3113 equal stages, so the distance traveled in each stage is 38745/3113 = <<38745/3113=12.446>>12.446 miles (rounded to three decimal places). ### Answer: 12.446 miles <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <
Expected answer: 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?
Mixtral 8x22B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water by the number of bottles. 84,564 liters / 261 bottles = <<84564/261=324>>324 liters per bottle. ### Answer: 324 liters per bottle
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?
Mixtral 8x22B:
Reasoning: To find out how many liters each bottle contains, we need to divide the total amount of water by the number of bottles. 84,564 liters / 1,779 bottles = <<84564/1779=47.5>>47.5 liters per bottle. ### Answer: 47.5 liters per bottle
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?
Mixtral 8x22B:
Reasoning: The total number of pages is divided equally among the 201 volumes, so each volume contains 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?
Mixtral 8x22B:
Reasoning: The fireplace uses 56888/2188 = <<56888/2188=26.00>>26.00 BTU of energy per hour. ### Answer: 26.00
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?
Mixtral 8x22B:
Reasoning: The fireplace would use 56888/3809 = <<56888/3809=14.93>>14.93 BTU of energy per hour. ### Answer: 14.93
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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: The town received 36900/7138 = <<36900/7138=5.17>>5.17 inches of snow each day. ### Answer: 5.17
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?
Mixtral 8x22B:
Reasoning: Each giraffe gets 71292/2742 = <<71292/2742=26>>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?
Mixtral 8x22B:
Reasoning: Each giraffe would get 71292/8787 = <<71292/8787=8.11>>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?
Mixtral 8x22B:
Reasoning: The project saved 96187/13 = <<96187/13=7400>>7400 lions per year on average. ### Answer: 7400
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?
Mixtral 8x22B:
Reasoning: The mermaid will divide 32812/631 = <<32812/631=52>>52 pearls among her friends. ### 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?
Mixtral 8x22B:
Reasoning: The mermaid will divide 32812/4198 = <<32812/4198=7.814>>7.814 pearls among her friends. However, since she cannot divide the pearls into fractions, she will give 7 pearls to each friend and have 32812 - 4198\*7 = <<32812 - 4198\*7=112>>112 pearls left over. ### Answer: 7 pearls with 112 pearls left over
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?
Mixtral 8x22B:
Reasoning: The farm produces 36,784/19 = <<36,784/19=1,936>>1,936 apples each week. ### 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?
Mixtral 8x22B:
Reasoning: The farm would produce 36,784/152 = <<36,784/152=242>>242 apples each week. ### 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?
Mixtral 8x22B:
Reasoning: The train travels 63245/695 = <<63245/695=91.00>>91 miles each day. ### Answer: 91 miles
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?
Mixtral 8x22B:
Reasoning: The train now travels 6280/695 = <<6280/695=9.04>>9.04 miles each day. ### Answer: 9.04 miles
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?
Mixtral 8x22B:
Reasoning: The factory produced 41772/708 = <<41772/708=59>>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?
Mixtral 8x22B:
Reasoning: If the factory produced 41772 dolls over 4664 days, it would have produced 41772/4664 = <<41772/4664=8.96>>8.96 dolls per day. However, since it is not possible to produce a fraction of a doll, the factory 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?
Mixtral 8x22B:
Reasoning: The drummer needs to hit his drum 61019/7 = <<61019/7=8717>>8717 times each day to meet his goal. ### Answer: 8717 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The drummer needs to hit his drum 7454/7 = <<7454/7=1064.8571428571428>>1064.8571428571428 times each day to meet his new goal. Since he can't hit the drum a fraction of a time, he will need to round up to the nearest whole number. ### 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?
Mixtral 8x22B:
Reasoning: The dolphin can swim 98816/128 = <<98816/128=772>>772 meters in an 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?
Mixtral 8x22B:
Reasoning: The dolphin is now swimming 6186/128 = <<6186/128=48.328125>>48.328125 meters in an hour. ### Answer: 48.328125
Expected answer: 3093/64
Correct? Yes
Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?
Mixtral 8x22B:
Reasoning: The song was streamed 71532/1987 = <<71532/1987=35.999445945945945>>35.999445945945945 times per day on average. ### Answer: 35.999445945945945
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?
Mixtral 8x22B:
Reasoning: The salesman wants to divide 33046 compasses equally among 1066 stores. Each store will receive 33046/1066 = <<33046/1066=31>>31 compasses. ### Answer: 31 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The salesman wants to divide 33046 compasses equally among 6456 stores. Each store will receive 33046/6456 = <<33046/6456=5>>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?
Mixtral 8x22B:
Reasoning: To find out how many carrots each plot yielded, we need to divide the total number of carrots by the number of plots. 49822 carrots / 58 plots = <<49822/58=859>>859 carrots per plot. ### 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?
Mixtral 8x22B:
Reasoning: To find out how many carrots each plot yielded this time, we need to divide the total number of carrots by the number of plots. 9653 carrots / 58 plots = <<9653/58=166.4310344827586>>166.43 carrots per plot. However, since we cannot have a fraction of a carrot, we can round this number to the nearest whole number. ### 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?
Mixtral 8x22B:
Reasoning: The revealed area is equal to the original area, which is 8744 square meters. The ratio of the revealed area to the original area is 8744/8744 = <<8744/8744=1>>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?
Mixtral 8x22B:
Reasoning: The scooter travels 97506/18 = <<97506/18=5417>>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?
Mixtral 8x22B:
Reasoning: The scooter would travel 7727/18 = <<7727/18=429.2777777777778>>429.2777777777778 meters per hour. ### Answer: 429.2777777777778
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?
Mixtral 8x22B:
Reasoning: The star emits 94548/7879 = <<94548/7879=12>>12 units of light energy every hour. ### Answer: 12 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The star would emit 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?
Mixtral 8x22B:
Reasoning: The total number of trees is 80752 and the forest is split into 412 sections. To find the number of trees in each section, we divide the total number of trees by the number of sections: 80752/412 = <<80752/412=196>>196 trees per section. ### 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?
Mixtral 8x22B:
Reasoning: The total number of trees is still 80752, but now the forest is split into 1778 sections. To find the number of trees in each section, we divide the total number of trees by the new number of sections: 80752/1778 = <<80752/1778=45.416666666666664>>45.416666666666664 trees per section. Since we cannot have a fraction of a tree, we round 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?
Mixtral 8x22B:
Reasoning: The farm harvested 44280/216 = <<44280/216=205>>205 cucumbers each day. ### Answer: 205 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The farm harvested 4076/216 = <<4076/216=18.87>>18.87 cucumbers each day. However, since it is not possible to harvest a fraction of a cucumber, the farm would have harvested 19 cucumbers 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?
Mixtral 8x22B:
Reasoning: The total number of cookies is 77545 and they were divided into 1193 packages. To find out how many cookies are in each package, we need to divide the total number of cookies by the number of packages. 77545 / 1193 = <<77545/1193=65>>65 cookies per 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?
Mixtral 8x22B:
Reasoning: The total number of cookies is still 77545, but now they are divided into 1834 packages. To find out how many cookies are in each package, we need to divide the total number of cookies by the new number of packages. 77545 / 1834 = <<77545/1834=42>>42 cookies per package. ### 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?
Mixtral 8x22B:
Reasoning: The star emits 51750/125 = <<51750/125=414>>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?
Mixtral 8x22B:
Reasoning: The star emits 51750/8670 = <<51750/8670=5.97>>5.97 units of light energy every second. ### Answer: 5.97
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?
Mixtral 8x22B:
Reasoning: The factory produced 25144/56 = <<25144/56=449>>449 candies each day. ### Answer: 449
Expected answer: 449
Correct? Yes
Problem: In the previous scenario, suppose that the candy factory had instead produced 25144 candies evenly over 4290 days. How many candies would they have made each day in this case?
Mixtral 8x22B:
Reasoning: The factory would have produced 25144/4290 = <<25144/4290=5.861072261072261>>5.86 candies each day. ### Answer: 5.86 (rounded to two decimal places)
Expected answer: 12572/2145
Correct? No
Problem: A party needs 34240 slices of bread for sandwiches. If each loaf of bread contains 10 slices, how many loaves of bread are needed for the party?
Mixtral 8x22B:
Reasoning: The party needs 34240/10 = <<34240/10=3424>>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?
Mixtral 8x22B:
Reasoning: The party would need 7638/10 = <<7638/10=763.8>>763.8 loaves of bread. Since you can't have a fraction of a loaf, the party would need 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?
Mixtral 8x22B:
Reasoning: To find out how many new trees sprout each day, we need to divide the total number of trees that have sprouted by the number of days. 20111 trees / 119 days = <<20111/119=168.99159663857417>>168.99159663857417 trees per day. Since we cannot have a fraction of a tree, we round this number to the nearest whole number. ### Answer: 169 trees per day
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?
Mixtral 8x22B:
Reasoning: To find out how many new trees sprout each day in this different area of the forest, we need to divide the total number of trees that have sprouted by the number of days. 6216 trees / 119 days = <<6216/119=52.23537815126046>>52.23537815126046 trees per day. Since we cannot have a fraction of a tree, we round this number to the nearest whole number. ### Answer: 52 trees per day
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?
Mixtral 8x22B:
Reasoning: The factory distributed 91,104/52 = <<91,104/52=1,752>>1,752 cans of dog food per week. ### Answer: 1,752
Expected answer: 1752
Correct? Yes
Problem: Following the previous question, now consider that the same dog food factory distributed a different brand of dog food, this time totaling 5,981 cans, uniformly over the same 52 weeks. How many cans of this different brand of dog food did they distribute per week?
Mixtral 8x22B:
Reasoning: The factory distributed 5,981/52 = <<5,981/52=115>>115 cans of the different brand of dog food per week. ### Answer: 115
Expected answer: 5981/52
Correct? No
Problem: A blanket manufacturing company has 19944 yards of fabric. They use the same amount of fabric to produce each blanket, and from this total amount of fabric, they can make 18 blankets. How many yards of fabric is used for each blanket?
Mixtral 8x22B:
Reasoning: The company can make 18 blankets from 19944 yards of fabric. To find out how many yards of fabric is used for each blanket, we divide the total amount of fabric by the number of blankets. 19944 yards / 18 blankets = <<19944/18=1108>>1108 yards per blanket. ### Answer: 1108 yards
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?
Mixtral 8x22B:
Reasoning: To find the average number of potatoes produced by each plant, we need to divide the total number of potatoes by the total number of plants. 45764 potatoes / 2692 plants = <<45764/2692=17>>17 potatoes per plant (rounded to the nearest whole number) ### Answer: 17 potatoes per plant
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?
Mixtral 8x22B:
Reasoning: With the new total number of potatoes harvested, we can find the new average by dividing the new total number of potatoes by the total number of plants. 7664 potatoes / 2692 plants = <<7664/2692=2.85>>2.85 potatoes per plant (rounded to two decimal places) ### Answer: 2.85 potatoes per plant
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?
Mixtral 8x22B:
Reasoning: The factory produces 85560/713 = <<85560/713=120>>120 marshmallows every hour. ### Answer: 120 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The factory produces 85560/7544 = <<85560/7544=11.34>>11.34 marshmallows every hour. However, since the factory cannot produce a fraction of a marshmallow, we can round this number to the nearest whole number. In this case, the factory produces approximately 11 marshmallows every hour. ### Answer: 11 (approximately)
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?
Mixtral 8x22B:
Reasoning: The total area of the farm is 49,928 square meters, and each plot is 6,241 square meters. To find the number of plots, we divide the total area by the area of one plot: 49,928 / 6,241 = <<49,928/6,241=8>>8 plots. ### 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?
Mixtral 8x22B:
Reasoning: The total area of the farm is 49,928 square meters, and each plot is now 23 square meters. To find the number of plots, we divide the total area by the area of one plot: 49,928 / 23 = <<49,928/23=2170.8>>2,170.8 plots. Since the number of plots must be a whole number, we round down to the nearest whole number, which is 2,170 plots. ### 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?
Mixtral 8x22B:
Reasoning: The baker used 62118/2142 = <<62118/2142=29>>29 grams of flour to make cookies each day. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: The baker realized that he actually used a total of 62118 grams of flour over the course of 2755 days, not 2142 days as previously thought. How does the daily use of flour for cookies change with this correction?
Mixtral 8x22B:
Reasoning: The baker used 62118/2755 = <<62118/2755=22.54>>22.54 grams of flour to make cookies each day. ### Answer: 22.54
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?
Mixtral 8x22B:
Reasoning: The shoemaker has 91100/3644 = <<91100/3644=25>>25 centimeters of shoelace for each pair of shoes. ### 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?
Mixtral 8x22B:
Reasoning: The shoemaker has 91100/9498 = <<91100/9498=9.59>>9.59 centimeters of shoelace for each pair of shoes. ### Answer: 9.59
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?
Mixtral 8x22B:
Reasoning: The farmer distributes 505/5 = <<505/5=101>>101 bushels of apples into each bin. ### 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?
Mixtral 8x22B:
Reasoning: The farmer distributes 7798/5 = <<7798/5=1559.6>>1559.6 bushels of apples into each bin. However, since the farmer cannot distribute a fraction of a bushel, each bin will contain 1559 bushels, and there will be a remainder of 7798 - 5*1559 = <<7798-5*1559=19>>19 bushels that cannot be distributed evenly. ### Answer: 1559 (with a remainder of 19 bushels)
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?
Mixtral 8x22B:
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. 65325 confetti pieces / 5025 square feet = <<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?
Mixtral 8x22B:
Reasoning: To find out how many confetti pieces would be there per square foot in this case, we need to divide the total number of confetti pieces by the new total area. 65325 confetti pieces / 9944 square feet = <<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?
Mixtral 8x22B:
Reasoning: The crayons are evenly distributed into 123 boxes, so we can find the number of crayons in each box by dividing the total number of crayons by the number of boxes. 26691/123 = <<26691/123=217>>217 crayons in each box. ### 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?
Mixtral 8x22B:
Reasoning: The crayons are still evenly distributed into 123 boxes, so we can find the number of crayons in each box by dividing the new total number of crayons by the number of boxes. 4521/123 = <<4521/123=36.75>>36.75 crayons in each box. However, since we cannot 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?
Mixtral 8x22B:
Reasoning: The firefighter unit extinguished 45843/413 = <<45843/413=111>>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?
Mixtral 8x22B:
Reasoning: The firefighter unit extinguished 45843/4913 = <<45843/4913=9.33>>9.33 fires per week. However, since the number of fires extinguished per week must be a whole number, it is not possible for the firefighter unit to have extinguished 9.33 fires per week. Therefore, the scenario as described is not possible. ### Answer: The scenario as described is not possible.
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?
Mixtral 8x22B:
Reasoning: The area of each section is 57546/9591 = <<57546/9591=6>>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?
Mixtral 8x22B:
Reasoning: The area of each section is 57546/131 = <<57546/131=439.3587786259542>>439.3587786259542 square meters. ### Answer: 439.3587786259542
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?
Mixtral 8x22B:
Reasoning: The number of toothpaste tubes generated from one box of raw materials is 93822/4938 = <<93822/4938=19>>19. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Suppose the toothpaste company changes its manufacturing process and is now able to produce only 9206 tubes of toothpaste with the same 4938 boxes of raw materials. If each box of raw materials still produces the same number of toothpaste tubes, how many toothpaste tubes are now generated from one box of raw materials?
Mixtral 8x22B:
Reasoning: The number of toothpaste tubes generated from one box of raw materials is 9206/4938 = <<9206/4938=1.86>>1.86. ### Answer: 1.86
Expected answer: 4603/2469
Correct? No
Problem: A park's Jungle gym is used by a total of 40740 children over the span of 84 days. If the Jungle gym is used by the same number of kids each day, how many children use the Jungle gym each day?
Mixtral 8x22B:
Reasoning: The Jungle gym is used by 40740/84 = <<40740/84=485>>485 children each day. ### Answer: 485 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: If 8576 children use the Jungle gym over 84 days, then the Jungle gym is used by 8576/84 = <<8576/84=102>>102 children 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?
Mixtral 8x22B:
Reasoning: To find out how many cubic centimeters of snow are used for each snowman, we need to divide the total amount of snow by the number of snowmen. 39482 cc / 38 = <<39482/38=1039>>1039 cc per snowman. ### Answer: 1039 cc per snowman
Expected answer: 1039
Correct? Yes
Problem: In the previous snowman competition, suppose that the organizers used only 5895 cc (cubic centimeters) of snow to make the same 38 identical snowmen. How many cubic centimeters of snow would be used for each snowman in this scenario?
Mixtral 8x22B:
Reasoning: To find out how many cubic centimeters of snow are used for each snowman in this scenario, we need to divide the total amount of snow by the number of snowmen. 5895 cc / 38 = <<5895/38=155.1315789473684>>155.1315789473684 cc per snowman. However, since we cannot have a fraction of a cubic centimeter of snow, we need to round this number to the nearest whole number. ### Answer: 155 cc per snowman
Expected answer: 5895/38
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.
Mixtral 8x22B:
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. 67673 square inches / 1147 = <<67673/1147=59>>59 square inches per smaller square. ### Answer: 59 square inches
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?
Mixtral 8x22B:
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. 7562 square inches / 1147 = <<7562/1147=6.59>>6.59 square inches per smaller square. ### Answer: 6.59 square inches
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?
Mixtral 8x22B:
Reasoning: The total number of oranges is 49,920 and the number of trees is 195. To find out how many oranges each tree produces, we need to divide the total number of oranges by the number of trees. 49,920 / 195 = <<49,920/195=256>>256 oranges per tree. ### Answer: 256 oranges per tree
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?
Mixtral 8x22B:
Reasoning: The total number of oranges is still 49,920, but now the number of trees is 9,289. To find out how many oranges each tree produces, we need to divide the total number of oranges by the number of trees. 49,920 / 9,289 = <<49,920/9,289=5.375>>5.375 oranges per tree. However, since a tree cannot produce a fraction of an orange, we can round this number to the nearest whole number. In this case, each tree would produce 5 oranges. ### Answer: 5 oranges per tree
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?
Mixtral 8x22B:
Reasoning: To find the number of children in each school, we divide the total number of children by the total number of schools. 34160 children / 4270 schools = <<34160/4270=8>>8 children per 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?
Mixtral 8x22B:
Reasoning: With the revised information, we now divide the total number of children who had a sandwich for lunch by the total number of schools. 34160 children / 7823 schools = <<34160/7823=4.368>>4.368 children per school had a sandwich for lunch. Since we cannot have a fraction of a child, we can round this number to the nearest whole number. However, it is important to note that this is an approximation and the actual number of children per school may vary. ### Answer: Approximately 4 children per school had a sandwich for lunch.
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?
Mixtral 8x22B:
Reasoning: To find out how many times you can brush your teeth with this tube of toothpaste, you need to divide the total amount of paste by the amount used per brushing. 3366 grams / 306 grams per brushing = <<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?
Mixtral 8x22B:
Reasoning: To find out how many times you can brush your teeth with this new tube of toothpaste, you need to divide the total amount of paste by the amount used per brushing. 9060 grams / 306 grams per brushing = <<9060/306=29.6078431372549>>29.6078431372549 times. Since you can't brush your teeth a fraction of a time, you can only brush your teeth 29 times with this tube of toothpaste. ### 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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: The number of towels in each box is 8337/1309 = <<8337/1309=6.37>>6.37 towels. However, since the towels are evenly distributed, we cannot have a fraction of a towel in a box. Therefore, the number of towels in each box must be a whole number. Since 8337 is not a multiple of 1309, it is not possible to evenly distribute 8337 towels among 1309 boxes. ### Answer: It is not possible to evenly distribute 8337 towels among 1309 boxes.
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?
Mixtral 8x22B:
Reasoning: The number of messages sent per day is 43134/3318 = <<43134/3318=13>>13 messages per day. ### Answer: 13 <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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"?
Mixtral 8x22B:
Reasoning: The number of Earth days in one of the alien civilization's "days" is 8212. The number of messages sent per alien "day" is 43134/8212 = <<43134/8212=5>>5 messages per alien "day". ### Answer: 5
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?
Mixtral 8x22B:
Reasoning: The number of students per bus is 80,011/31 = <<80,011/31=2580.9967741935484>>2581 (rounded to the nearest whole number). ### Answer: 2581
Expected answer: 2581
Correct? Yes
Problem: The initial bus route was adjusted and the same 80,011 students are now equally distributed across 2069 buses due to a new policy. How many students are there per bus now?
Mixtral 8x22B:
Reasoning: The number of students per bus is 80,011/2069 = <<80,011/2069=38.666666666666664>>39 (rounded to the nearest whole number). ### Answer: 39
Expected answer: 80011/2069
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?
Mixtral 8x22B:
Reasoning: The store sold 54020/730 = <<54020/730=74>>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?
Mixtral 8x22B:
Reasoning: The store sold 54020/5546 = <<54020/5546=9.74>>9.74 cameras daily. However, since they can't sell a fraction of a camera, we'll round this number to the nearest whole number. ### Answer: 10
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?
Mixtral 8x22B:
Reasoning: The ice cream factory packed 25774/526 = <<25774/526=49>>49 liters of ice cream into each container. ### 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?
Mixtral 8x22B:
Reasoning: The ice cream factory packed 25774/418 = <<25774/418=61.66>>61.66 liters of ice cream into each container. However, since the ice cream cannot be divided into fractions, the factory would need to round up to the nearest whole number, which is 62 liters per container. ### Answer: 62
Expected answer: 12887/209
Correct? No
Problem: A city's public transportation system logs a total of 85300 miles driven among its fleet of 3412 buses in a week. Assuming each bus travels the same distance, how many miles does each bus drive in a week?
Mixtral 8x22B:
Reasoning: Each bus travels 85300/3412 = <<85300/3412=25.00029308850527>>25.00029308850527 miles in a week. ### Answer: 25.00029308850527 miles Note: The answer is rounded to 10 decimal places. In reality, the distance each bus travels would be a whole number, but the given numbers do not allow for an exact whole number answer.
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?
Mixtral 8x22B:
Reasoning: The wind turbine generates 92250/75 = <<92250/75=1230>>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?
Mixtral 8x22B:
Reasoning: The wind turbine generates 5837/75 = <<5837/75=77.82666666666667>>77.82666666666667 kilowatts of energy per hour. ### Answer: 77.82666666666667
Expected answer: 5837/75
Correct? Yes
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?
Mixtral 8x22B:
Reasoning: The baby gained 3734 grams over 1867 days. The average daily gain is 3734/1867 = <<3734/1867=2.0005357142857143>>2.0005357142857143 grams per day. ### Answer: 2.0005357142857143 grams per day
Expected answer: 2
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?
Mixtral 8x22B:
Reasoning: The hose releases 33,532/8,383 = <<33,532/8,383=4>>4 liters of water 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?
Mixtral 8x22B:
Reasoning: The hose releases 33,532/7,845 = <<33,532/7,845=4.28>>4.28 liters of water per minute. ### 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?
Mixtral 8x22B:
Reasoning: The farmer collects 96,120/20 = <<96120/20=4806>>4,806 eggs from each 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?
Mixtral 8x22B:
Reasoning: The farmer collects 96,120/9,046 = <<96120/9046=10.625>>10.625 eggs from each chicken. ### Answer: 10.625
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?
Mixtral 8x22B:
Reasoning: The town receives 11458/17 = <<11458/17=673.9411764705882>>673.94 millimeters of rain each day. ### Answer: 673.94 millimeters <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>> <</SYS>>
Expected answer: 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?
Mixtral 8x22B:
Reasoning: The factory produced 2526/842 = <<2526/842=3>>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?
Mixtral 8x22B:
Reasoning: The factory would have produced 2526/547 = <<2526/547=4.617915904936014>>4.617915904936014 pens every hour. ### Answer: 4.617915904936014
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?
Mixtral 8x22B:
Reasoning: 285 erasers divided by 19 classrooms equals <<285/19=15>>15 erasers per classroom. ### 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?
Mixtral 8x22B:
Reasoning: 4681 erasers divided by 19 classrooms equals <<4681/19=246.36842105263157>>246.36842105263157 erasers per classroom. Since erasers cannot be divided, each classroom will get 246 erasers and there will be a remainder of 19 erasers. ### Answer: 246 erasers per classroom with a remainder of 19 erasers.
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?
Mixtral 8x22B:
Reasoning: The penguin's speed is the distance covered divided by the time taken. Speed = 41020 feet / 5 hours = <<41020/5=8204>>8204 feet per hour. ### Answer: 8204 feet per hour
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?
Mixtral 8x22B:
Reasoning: The penguin's speed is the distance covered divided by the time taken. Speed = 4325 feet / 5 hours = <<4325/5=865>>865 feet per hour. ### Answer: 865 feet per hour
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?
Mixtral 8x22B:
Reasoning: The reservoir holds 63360/576 = <<63360/576=110>>110 gallons of water per section. ### 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?
Mixtral 8x22B:
Reasoning: The reservoir holds 63360/9999 = <<63360/9999=6.336063360633606>>6.336063360633606 gallons of water per section. ### Answer: 6.336063360633606
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?
Mixtral 8x22B:
Reasoning: The total number of skirts is 21868 and there are 77 stores. Each store got 21868/77 = <<21868/77=284>>284 skirts. ### Answer: 284
Expected answer: 284
Correct? Yes
Problem: A TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period. On average, how many minutes of advertisements are shown each day?
Mixtral 8x22B:
Reasoning: To find the average number of minutes of advertisements shown each day, we need to divide the total number of minutes by the number of days. 56109 minutes / 59 days = <<56109/59=951>>951 minutes per day ### Answer: 951 minutes per day
Expected answer: 951
Correct? Yes
Problem: Suppose the TV channel decided to reduce the total minutes of advertisements. Now, over a 59-day period, they only broadcast a total of 5352 minutes of advertisements. What is the new average of advertisement minutes shown each day?
Mixtral 8x22B:
Reasoning: To find the new average number of minutes of advertisements shown each day, we need to divide the new total number of minutes by the number of days. 5352 minutes / 59 days = <<5352/59=90.71186440677966>>90.71 minutes per day ### Answer: 90.71 minutes per day
Expected answer: 5352/59
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?
Mixtral 8x22B:
Reasoning: The total number of marks is divided by the number of exam papers to find the number of marks per paper. 59748/1149 = <<59748/1149=52>>52 marks per 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?
Mixtral 8x22B:
Reasoning: The total number of marks is divided by the number of exam papers to find the number of marks per paper. 7117/1149 = <<7117/1149=6.19>>6.19 marks per exam paper. However, since marks are typically whole numbers, the teacher would have to round to the nearest whole number. ### Answer: 6 marks per exam paper (rounded to the nearest whole number)
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?
Mixtral 8x22B:
Reasoning: The total amount of water is 44840 liters, and it is to be distributed equally across 76 houses. Each house will get 44840/76 = <<44840/76=590>>590 liters of water. ### 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?
Mixtral 8x22B:
Reasoning: The total amount of water is still 44840 liters, but now it is to be distributed across 6614 houses. Each house will get 44840/6614 = <<44840/6614=6.78>>6.78 liters of water. ### Answer: 6.78
Expected answer: 22420/3307
Correct? No
Problem: A butterfly during its lifetime lay 5385 eggs, and she spread these eggs evenly across 359 flowers. How many eggs did she lay on each flower?
Mixtral 8x22B:
Reasoning: The butterfly spread 5385/359 = <<5385/359=15>>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?
Mixtral 8x22B:
Reasoning: The butterfly spread 9710/359 = <<9710/359=27>>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?
Mixtral 8x22B:
Reasoning: To find the number of pixels in each row, we need to divide the total number of pixels by the number of rows. 95038 pixels / 61 rows = <<95038/61=1558>>1558 pixels per row. ### Answer: 1558
Expected answer: 1558
Correct? Yes
Problem: Suppose instead of 95038 pixels, the camera has only 2122 pixels and still divides them evenly into 61 rows. How many pixels would there be in each row now?
Mixtral 8x22B:
Reasoning: To find the number of pixels in each row, we need to divide the total number of pixels by the number of rows. 2122 pixels / 61 rows = <<2122/61=34.78688524590164>>34.78688524590164 pixels per row. However, since the number of pixels must be a whole number, we can round this to the nearest whole number. ### Answer: 35 pixels per row (rounded to the nearest whole number)
Expected answer: 2122/61
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?
Mixtral 8x22B:
Reasoning: The ice cream factory produces 45580/53 = <<45580/53=859.9811320754717>>859.9811320754717 ice cream cones per day. Since the number of ice cream cones produced per day must be a whole number, we can round this number to the nearest whole number, which is 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?
Mixtral 8x22B:
Reasoning: The ice cream factory now produces 4660/53 = <<4660/53=87.92452830188679>>87.92452830188679 ice cream cones per day. Since the number of ice cream cones produced per day must be a whole number, we can round this number to the nearest whole number, which is 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?
Mixtral 8x22B:
Reasoning: The total square inches of fabric is divided evenly among 219 towels, so each towel gets 36135/219 = <<36135/219=165>>165 square inches of fabric. ### 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?
Mixtral 8x22B:
Reasoning: The fireplace burns 36300/4 = <<36300/4=9075>>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?
Mixtral 8x22B:
Reasoning: The fireplace burns 8712/4 = <<8712/4=2178>>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?
Mixtral 8x22B:
Reasoning: Each team was provided with an equal amount of snow, so we divide the total amount of snow by the number of teams. 51156 kg / 9 teams = <<51156/9=5684>>5684 kg per team. ### Answer: 5684 kg
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?
Mixtral 8x22B:
Reasoning: Each team would still be provided with an equal amount of snow, so we divide the new total amount of snow by the number of teams. 6407 kg / 9 teams = <<6407/9=711.8888888888889>>711.8888888888889 kg per team. Since we cannot have a fraction of a kilogram of snow, we can round this number to the nearest whole number. ### Answer: 712 kg (rounded to the nearest whole number)
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?
Mixtral 8x22B:
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. 56250 apples / 30 days = <<56250/30=1875>>1875 apples per day. ### Answer: 1875 apples per day
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?
Mixtral 8x22B:
Reasoning: To find out how many apples were harvested each day, we need to divide the total number of apples by the new number of days. 56250 apples / 3028 days = <<56250/3028=18.57>>18.57 apples per day. However, since it is not possible to harvest a fraction of an apple, we can round this number to the nearest whole number. ### Answer: 19 apples per day (rounded to the nearest whole number)
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?
Mixtral 8x22B:
Reasoning: To find out how many days it took for the baby to speak her first word, we need to divide the total number of seconds she was awake by the number of seconds in a day. 82992 seconds / 1729 seconds/day = <<82992/1729=48>>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?
Mixtral 8x22B:
Reasoning: To find out how many days it took for the baby to speak her first word in this scenario, we need to divide the new total number of seconds she was awake by the number of seconds in a day. 8741 seconds / 1729 seconds/day = <<8741/1729=5>>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?
Mixtral 8x22B:
Reasoning: To find out how many centimeters on the map represent 1 kilometer in real life, we can set up a proportion: 91368 centimeters / 216 kilometers = x centimeters / 1 kilometer Solving for x, we get: x = (91368 centimeters \* 1 kilometer) / 216 kilometers x = 91368 / 216 x = <<91368/216=423.00>>423 centimeters ### Answer: 423 centimeters
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?
Mixtral 8x22B:
Reasoning: To find out how many centimeters on the new map represent 1 kilometer in real life, we can set up a proportion: 6884 centimeters / 216 kilometers = x centimeters / 1 kilometer Solving for x, we get: x = (6884 centimeters \* 1 kilometer) / 216 kilometers x = 6884 / 216 x = <<6884/216=31.87>>31.87 centimeters ### Answer: 31.87 centimeters
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?
Mixtral 8x22B:
Reasoning: The fashion designer will use 33536/131 = <<33536/131=256>>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?
Mixtral 8x22B:
Reasoning: The fashion designer will use 33536/3206 = <<33536/3206=10.46>>10.46 beads for each section. However, since the designer cannot use a fraction of a bead, they will have to round this number to the nearest whole number. The designer will use 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?
Mixtral 8x22B:
Reasoning: The firefighter sprays 69966/299 = <<69966/299=234>>234 gallons of water every 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?
Mixtral 8x22B:
Reasoning: The firefighter sprays 8749/299 = <<8749/299=29.26>>29.26 gallons of water every minute. ### Answer: 29.26
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?
Mixtral 8x22B:
Reasoning: The manufacturer's current stock can cover 2118 windows, and the total amount of glass material required for all these windows is 6354 square inches. Therefore, the amount of glass material required for a single window is 6354/2118 = <<6354/2118=3>>3 square inches. ### 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?
Mixtral 8x22B:
Reasoning: The company now needs 6354 square inches of glass material to produce 6122 windows. Therefore, the amount of glass material required for each of the new model windows is 6354/6122 = <<6354/6122=1.0379>>1.0379 square inches (rounded to four decimal places). ### Answer: 1.0379
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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: The gardener planted 1392/116 = <<1392/116=12>>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?
Mixtral 8x22B:
Reasoning: The gardener planted 7275/116 = <<7275/116=62.71639344262295>>62.71639344262295 flowers in each pot. However, since the number of flowers must be a whole number, the gardener would have to plant 63 flowers in each of 115 pots and 62 flowers in the remaining pot. ### Answer: 63 (in 115 pots) and 62 (in 1 pot)
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?
Mixtral 8x22B:
Reasoning: The ice cream shop sold 31,176/9 = <<31176/9=3464>>3,464 scoops of ice cream each week. ### 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?
Mixtral 8x22B:
Reasoning: The ice cream shop sold 31,176/4,035 = <<31176/4035=7.725>>7.725 scoops of ice cream each day. ### Answer: 7.725
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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: To find out how many bananas each monkey will get, we need to divide the total number of bananas by the number of monkeys. 88,508 bananas ÷ 406 monkeys = <<88508/406=218>>218 bananas per monkey. ### 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?
Mixtral 8x22B:
Reasoning: If the sanctuary had only 9,073 bananas, we would still divide the total number of bananas by the number of monkeys to find out how many bananas each monkey would get. 9,073 bananas ÷ 406 monkeys = <<9073/406=22.35>>22.35 bananas per monkey. However, since we can't give a fraction of a banana to a monkey, we would have to round down to the nearest whole number. ### 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?
Mixtral 8x22B:
Reasoning: If each table has 2 legs, then the number of tables ordered is 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?
Mixtral 8x22B:
Reasoning: If each table has 2 legs, then the number of tables ordered is 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?
Mixtral 8x22B:
Reasoning: The hat maker can make 3560/890 = <<3560/890=4>>4 hats. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous scenario, suppose the hat maker did not have 3560 feathers, but only had 1416 feathers instead. If each hat will still have 890 feathers, how many hats can be produced now?
Mixtral 8x22B:
Reasoning: The hat maker can now make 1416/890 = <<1416/890=1.5966386554621848>>1.5966386554621848 hats. Since the hat maker cannot make a fraction of a hat, the hat maker can only make 1 hat. ### Answer: 1
Expected answer: 708/445
Correct? No
Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?
Mixtral 8x22B:
Reasoning: The total number of points is 17394, and there are 3 players. 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?
Mixtral 8x22B:
Reasoning: The total number of points is 17394, and there are 7489 players. Each player has 17394/7489 = <<17394/7489=2.322222222222222>>2.322222222222222 points. ### Answer: 2.322222222222222
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?
Mixtral 8x22B:
Reasoning: To find the area of each section, we need to divide the total area of the park by the number of sections. 3276 acres / 126 sections = <<3276/126=26>>26 acres per section. ### Answer: 26 acres
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?
Mixtral 8x22B:
Reasoning: If the park was smaller, covering only 139 acres, but the sections remained the same, we would still divide the total area of the park by the number of sections to find the area of each section. 139 acres / 126 sections = <<139/126=1.1031746031746032>>1.1031746031746032 acres per section. ### Answer: 1.1031746031746032 acres
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?
Mixtral 8x22B:
Reasoning: The pants 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 divide the total yards of fabric by the number of pairs. 54736 yards / 11 pairs = <<54736/11=4976>>4976 yards per pair. ### Answer: 4976 yards per pair
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?
Mixtral 8x22B:
Reasoning: The pants manufacturer now has 4769 yards of fabric and still wants to make 11 pairs of pants. To find out how many yards of fabric are needed for each pair, we divide the total yards of fabric by the number of pairs. 4769 yards / 11 pairs = <<4769/11=433.5454545454545>>433.5454545454545 yards per pair. Since we can't have a fraction of a yard, we'll round up to the nearest whole number. ### Answer: 434 yards per pair
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?
Mixtral 8x22B:
Reasoning: The minute hand rotates 49716 degrees in 18 hours. To find out how many degrees it rotates each hour, we divide 49716 by 18. 49716/18 = <<49716/18=2762>>2762 degrees per hour. ### Answer: 2762 degrees per hour
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?
Mixtral 8x22B:
Reasoning: The minute hand rotates 49716 degrees in 9706 hours. To find out how many degrees it rotates each hour, we divide 49716 by 9706. 49716/9706 = <<49716/9706=5.12>>5.12 degrees per hour. ### Answer: 5.12 degrees per hour
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?
Mixtral 8x22B:
Reasoning: The total number of stuffed animals is 1865, and there are 373 different designs. To find out how many stuffed animals there are for each design, we divide the total number of stuffed animals by the number of designs. 1865 / 373 = <<1865/373=5>>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?
Mixtral 8x22B:
Reasoning: In this alternate scenario, the total number of stuffed animals is 2542, and there are still 373 different designs. To find out how many stuffed animals there are for each design in this scenario, we divide the total number of stuffed animals by the number of designs. 2542 / 373 = <<2542/373=6.815>>6.815 stuffed animals for each design. However, since it is not possible to have a fraction of a stuffed animal, we can round this number to the nearest whole number. In this case, we would round down to 6 stuffed animals for each design. ### Answer: 6
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?
Mixtral 8x22B:
Reasoning: 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?
Mixtral 8x22B:
Reasoning: The bear travels 31470/1406 = <<31470/1406=22.38>>22.38 feet each day. ### Answer: 22.38
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?
Mixtral 8x22B:
Reasoning: The manufacturer distributed 9636/44 = <<9636/44=219>>219 pen units to each retailer. ### Answer: 219
Expected answer: 219
Correct? Yes