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?

Qwen2-Math 72B:

 Reasoning: To find the time it takes to inflate the smaller beach ball, we need to divide the total volume of air needed by the rate at which the air is being filled.
Time = Total volume of air / Rate of filling
Time = 1310 cubic centimeters / 41 cubic centimeters per second
Time = 32 seconds
### Answer: 32

Expected answer: 1310/41

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the amount of juice in each container, we need to divide the total amount of juice by the number of containers.
2858 liters / 707 containers = <<2858/707=4>>4 liters per container.
### Answer: 4

Expected answer: 2858/707

Correct? No

Problem: If the pants factory had produced a total of 4003 pants instead of 87780, and still equally distributed them to the 110 wholesale clothing stores, how many pants would each store have received now?

Qwen2-Math 72B:

 Reasoning: Each store would have received 4003/110 = <<4003/110=36.39090909090909>>36 pants.
### Answer: 36

Expected answer: 4003/110

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of bundles, we divide the total number of carrots by the number of carrots in each bundle.
Number of bundles = 71820 / 2486 = <<71820/2486=29>>29
### Answer: 29

Expected answer: 35910/1243

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The slide has been used 9018/54 = <<9018/54=167>>167 times per day.
### Answer: 167

Expected answer: 167

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?

Qwen2-Math 72B:

 Reasoning: The ski resort receives 31950/1814 = <<31950/1814=17.61>>17.61 inches of snowfall each day.
### Answer: 17.61

Expected answer: 15975/907

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the weight of each ring, we need to divide the total weight of gold by the number of rings.
Total weight of gold = 5240 grams
Number of rings = 38
Weight of each ring = Total weight of gold / Number of rings
Weight of each ring = 5240 / 38 = <<5240/38=138>>138 grams
### Answer: 138

Expected answer: 2620/19

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The average number of animals in each cage is 10489/5130 = <<10489/5130=2>>2.
### Answer: 2

Expected answer: 10489/5130

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of grams of carrots in each bag, we need to divide the total number of grams of carrots by the number of bags.
5652 grams / 5413 bags = <<5652/5413=1>>1 gram per bag.
### Answer: 1

Expected answer: 5652/5413

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the distance traveled in each stage, we need to divide the total distance by the number of stages.
Total distance = 38745 miles
Number of stages = 3113
Distance per stage = Total distance / Number of stages
Distance per stage = 38745 miles / 3113
Distance per stage = <<38745/3113=12.445>>12.445 miles
### Answer: 12.445

Expected answer: 38745/3113

Correct? No

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?

Qwen2-Math 72B:

 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

Expected answer: 28188/593

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The fireplace would use 56888/3809 = <<56888/3809=14.93594697>>14.93594697 BTU of energy per hour.
### Answer: 14.93594697

Expected answer: 4376/293

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The town received 36900/7138 = <<36900/7138=5.16>>5.16 inches of snow each day during this period.
### Answer: 5.16

Expected answer: 18450/3569

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the area per giraffe, we divide the total area by the number of giraffes.
Area per giraffe = Total area / Number of giraffes
Area per giraffe = 71292 / 8787
Area per giraffe = <<71292/8787=8>>8 square kilometers
### Answer: 8 square kilometers

Expected answer: 23764/2929

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find out how many pearls each mermaid friend will receive, we need to divide the total number of pearls by the number of friends.
32812 ÷ 4198 = <<32812/4198=7.81>>7.81
### Answer: 7.81

Expected answer: 16406/2099

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The farm produces 36,784/152 = <<36784/152=242>>242 apples weekly.
### Answer: 242

Expected answer: 242

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?

Qwen2-Math 72B:

 Reasoning: To find the distance covered in a day, we need to divide the total distance by the number of days.
Distance covered in a day = Total distance / Number of days
Distance covered in a day = 6280 miles / 695 days
Distance covered in a day = <<6280/695=9.0390071942446>>9.039 miles
### Answer: 9.039 miles

Expected answer: 1256/139

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The factory would have produced 41772/4664 = <<41772/4664=9>>9 dolls in a day.
### Answer: 9

Expected answer: 10443/1166

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find out how many times the drummer needs to hit the drum each day, we need to divide the total number of hits by the number of days.
7454 / 7 = <<7454/7=1064.8571428571429>>1064.8571428571429
### Answer: 1064.8571428571429

Expected answer: 7454/7

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?

Qwen2-Math 72B:

 Reasoning: To find out how many meters the dolphin can swim in an hour, we need to divide the total distance by the total time.
The dolphin can swim 6186/128 = <<6186/128=48.328125>>48.328125 meters in an hour.
### Answer: 48.328125

Expected answer: 3093/64

Correct? Yes

Problem: The same song was streamed 4862 times in the first 1987 days on a less popular platform. How many streams did it average per day on this platform?

Qwen2-Math 72B:

 Reasoning: The song was streamed 4862/1987 = <<4862/1987=2.446>>2.446 times per day on the less popular platform.
### Answer: 2.446

Expected answer: 4862/1987

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find out how many compasses each store will receive, we need to divide the total number of compasses by the number of stores.
33046 / 6456 = <<33046/6456=5.11>>5.11
### Answer: 5.11

Expected answer: 16523/3228

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of carrots each plot yielded, we need to divide the total number of carrots by the number of plots.
Number of carrots each plot yielded = 9653 / 58 = <<9653/58=166.43103448275862>>166.43103448275862
### Answer: 166.43103448275862

Expected answer: 9653/58

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?

Qwen2-Math 72B:

 Reasoning: The scooter travels 7727/18 = <<7727/18=429.2777777777778>>429.2777777777778 meters per hour.
### Answer: 429.2777777777778

Expected answer: 7727/18

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The star emits 94548/3349 = <<94548/3349=28.229999999999998>>28 units of light energy every hour.
### Answer: 28

Expected answer: 94548/3349

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 80752/1778 = <<80752/1778=45.45>>45.45 trees in each section.
### Answer: 45.45

Expected answer: 5768/127

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of cucumbers harvested each day, we need to divide the total number of cucumbers by the number of days.
4076 cucumbers / 216 days = <<4076/216=18.87>>18.87 cucumbers per day.
### Answer: 18.87

Expected answer: 1019/54

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 77545/1834 = <<77545/1834=42.27>>42.27 cookies in each package.
### Answer: 42.27

Expected answer: 77545/1834

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The star emits 51750/8670 = <<51750/8670=5.969>>5.969 units of light energy every second.
### Answer: 5.969

Expected answer: 1725/289

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The factory made 25144/4290 = <<25144/4290=5.861072261072261>>5.86 candies each day.
### Answer: 5.86

Expected answer: 12572/2145

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of loaves needed, we divide the total number of slices by the number of slices per loaf.
7638 slices / 10 slices per loaf = <<7638/10=763.8>>763.8 loaves of bread.
Since we cannot have a fraction of a loaf, we round up to the nearest whole number, which is 764 loaves of bread.
### Answer: 764

Expected answer: 3819/5

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of new trees sprouting each day, we need to divide the total number of trees sprouted by the number of days.
6216 trees / 119 days = <<6216/119=52>>52 trees per day.
### Answer: 52

Expected answer: 888/17

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The factory distributed 5,981/52 = <<5981/52=115>>115 cans of the different brand of dog food per week.
### Answer: 115

Expected answer: 5981/52

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the new average number of potatoes produced by each plant, we need to divide the new total number of potatoes harvested by the number of plants.
New average number of potatoes per plant = New total number of potatoes harvested / Number of plants
New average number of potatoes per plant = 7664 / 2692
New average number of potatoes per plant = <<7664/2692=2.85>>2.85
### Answer: 2.85

Expected answer: 1916/673

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of marshmallows made each hour, we need to divide the total number of marshmallows produced by the total number of hours.
85560 marshmallows / 7544 hours = <<85560/7544=11.34>>11.34 marshmallows per hour.
### Answer: 11.34

Expected answer: 465/41

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of plots, we divide the total area by the area of each plot.
Number of plots = Total area / Area of each plot
Number of plots = 49,928 / 23
Number of plots = <<49928/23=2171>>2171
### Answer: 2171

Expected answer: 49928/23

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The baker used 62118/2755 = <<62118/2755=22.5474>>22.5474 grams of flour each day.
### Answer: 22.5474

Expected answer: 2142/95

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each pair of shoes gets 91100/9498 = <<91100/9498=9.59>>9.59 centimeters of shoelace.
### Answer: 9.59

Expected answer: 45550/4749

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each bin contains 7798/5 = <<7798/5=1559.6>>1559.6 bushels of apples.
### Answer: 1559.6

Expected answer: 7798/5

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?

Qwen2-Math 72B:

 Reasoning: There would be 65325/9944 = <<65325/9944=6.57>>6.57 confetti pieces per square foot.
### Answer: 6.57

Expected answer: 65325/9944

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 4521 crayons in 123 boxes.
There are 4521/123 = <<4521/123=36.75>>36.75 crayons in each box.
### Answer: 36.75

Expected answer: 1507/41

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The number of fires extinguished per week is 45843/4913 = <<45843/4913=9.33>>9.33.
### Answer: 9.33

Expected answer: 45843/4913

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The area of each section is 57546/131 = <<57546/131=440>>440 square meters.
### Answer: 440

Expected answer: 57546/131

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: 9206/4938 = <<9206/4938=1.864>>1.864 toothpaste tubes are now generated from one box of raw materials.
### Answer: 1.864

Expected answer: 4603/2469

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of children using the Jungle gym each day, we need to divide the total number of children by the number of days.
Number of children using the Jungle gym each day = Total number of children / Number of days
Number of children using the Jungle gym each day = 8576 / 84
Number of children using the Jungle gym each day = <<8576/84=102>>102
### Answer: 102

Expected answer: 2144/21

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the amount of snow used for each snowman in this scenario, we need to divide the total amount of snow by the number of snowmen.
5895 cc / 38 snowmen = <<5895/38=155>>155 cc per snowman.
### Answer: 155

Expected answer: 5895/38

Correct? No

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?

Qwen2-Math 72B:

 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.
Area of each smaller square = Total area of the large window / Number of smaller squares
Area of each smaller square = 7562 / 1147
Area of each smaller square = 6.6
### Answer: 6.6

Expected answer: 7562/1147

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of oranges produced by each of the selected trees, we need to divide the total number of oranges by the number of selected trees.
49,920 oranges / 9,289 trees = <<49920/9289=5.37>>5.37 oranges per tree.
### Answer: 5.37

Expected answer: 49920/9289

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 34160 children in total, and there are 7823 schools. So, the number of children in each school is 34160/7823 = <<34160/7823=4>>4.
### Answer: 4

Expected answer: 34160/7823

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: You can brush your teeth 9060/306 = <<9060/306=30>>30 times with this tube of toothpaste.
### Answer: 30

Expected answer: 1510/51

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of towels in each box, we divide the total number of towels by the number of boxes.
8337 towels / 1309 boxes = <<8337/1309=6>>6 towels per box.
### Answer: 6

Expected answer: 1191/187

Correct? No

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"?

Qwen2-Math 72B:

 Reasoning: To find the number of messages sent per their "day", we need to divide the total number of messages by the number of their "days".
Total number of messages = 43134
Number of their "days" = 3318 / 8212
Messages per their "day" = Total number of messages / Number of their "days"
Messages per their "day" = 43134 / (3318 / 8212)
Messages per their "day" = 43134 / 0.4039
Messages per their "day" = <<43134/0.4039=106780.25>>106780.25
### Answer: 106780.25

Expected answer: 21567/4106

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 80,011/2069 = <<80011/2069=38.67>>38.67 students per bus.
### Answer: 38.67

Expected answer: 80011/2069

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the new number of cameras sold daily, we need to divide the total number of cameras sold by the new number of days.
54020 cameras / 5546 days = <<54020/5546=9.74>>9.74 cameras per day.
### Answer: 9.74

Expected answer: 27010/2773

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each container now accommodates 25774/418 = <<25774/418=61.66028708133971>>61.66028708133971 liters of ice cream.
### Answer: 61.66028708133971

Expected answer: 12887/209

Correct? Yes

Problem: With the same fleet of 3412 buses, the city's public transportation system only logs a total of 3940 miles driven next week. If each bus shared the work evenly again, how many miles did each bus drive in this week?

Qwen2-Math 72B:

 Reasoning: To find the distance each bus drives in a week, we need to divide the total distance by the number of buses.
Total distance = 3940 miles
Number of buses = 3412
Distance per bus = Total distance / Number of buses
Distance per bus = 3940 / 3412
Distance per bus = <<3940/3412=1.154754455516472>>1.154754455516472 miles
### Answer: 1.154754455516472

Expected answer: 985/853

Correct? No

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?

Qwen2-Math 72B:

 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: Suppose the baby's weight gain was recalculated over a span of 1651 days. If the total weight gain was still 3734 grams, what would be the average daily weight gain now?

Qwen2-Math 72B:

 Reasoning: To find the new average daily gain, we divide the total gain by the new number of days.
3734 grams / 1651 days = <<3734/1651=2.26>>2.26 grams/day
### Answer: 2.26

Expected answer: 3734/1651

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The firefighter releases 33,532 liters of water in 7,845 minutes.
To find the amount of water released per minute, we divide the total amount of water by the number of minutes: 33,532 liters / 7,845 minutes = <<33532/7845=4.275>>4.275 liters per minute.
### Answer: 4.275

Expected answer: 33532/7845

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each chicken actually contributes 96,120/9,046 = <<96120/9046=10.625>>10.625 eggs.
### Answer: 10.625

Expected answer: 48060/4523

Correct? No

Problem: Instead of 11458 millimeters of rain falling over 17 days, suppose now that 11458 millimeters of rain fell over 8513 days. How much rain does the town now receive each day if it rains the same amount every day?

Qwen2-Math 72B:

 Reasoning: The town receives 11458/8513 = <<11458/8513=1.3458>>1.3458 millimeters of rain each day.
### Answer: 1.3458

Expected answer: 11458/8513

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of pens produced every hour, we need to divide the total number of pens produced by the total number of hours.
2526 pens / 547 hours = <<2526/547=4.62>>4.62 pens per hour.
### Answer: 4.62

Expected answer: 2526/547

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find out how many erasers each classroom gets now, we need to divide the new total number of erasers by the number of classrooms.
4681 erasers ÷ 19 classrooms = <<4681/19=246>>246 erasers per classroom.
### Answer: 246

Expected answer: 4681/19

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The penguin's speed is the distance it covers divided by the time it takes.
Speed = Distance / Time
Speed = 4325 feet / 5 hours
Speed = <<4325/5=865>>865 feet per hour
### Answer: 865

Expected answer: 865

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?

Qwen2-Math 72B:

 Reasoning: To find out how many gallons of water each section holds, we need to divide the total capacity of the reservoir by the number of sections.
Total capacity of the reservoir = 63360 gallons
Number of sections = 9999
Gallons of water per section = Total capacity of the reservoir / Number of sections
Gallons of water per section = 63360 / 9999
Gallons of water per section = 6.336
### Answer: 6.336

Expected answer: 640/101

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The new average of advertisement minutes shown each day is 5352/59 = <<5352/59=90.7119>>90.7119 minutes.
### Answer: 90.7119

Expected answer: 5352/59

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 7117/1149 = <<7117/1149=6.2>>6.2 marks in each exam paper.
### Answer: 6.2

Expected answer: 7117/1149

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each house will get 44840/6614 = <<44840/6614=6.77>>6.77 liters of water.
### Answer: 6.77

Expected answer: 22420/3307

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The butterfly laid 9710/359 = <<9710/359=27>>27 eggs on each flower.
### Answer: 27

Expected answer: 9710/359

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There would be 2122/61 = <<2122/61=34>>34 pixels in each row.
### Answer: 34

Expected answer: 2122/61

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the new number of ice cream cones made each day, we need to divide the new total number of cones by the number of days.
4660 cones / 53 days = <<4660/53=88>>88 cones per day.
### Answer: 88

Expected answer: 4660/53

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The second fireplace burns 8712/4 = <<8712/4=2178>>2178 kilojoules of energy in one hour.
### Answer: 2178

Expected answer: 2178

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?

Qwen2-Math 72B:

 Reasoning: There are 9 teams, and the total amount of snow is 6407 kilograms.
Each team gets 6407/9 = <<6407/9=711.8888888888889>>711.8888888888889 kilograms of snow.
### Answer: 711.8888888888889

Expected answer: 6407/9

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?

Qwen2-Math 72B:

 Reasoning: To find the number of apples harvested each day, we need to divide the total number of apples by the number of days.
56250 apples / 3028 days = <<56250/3028=18.57>>18.57 apples per day.
### Answer: 18.57

Expected answer: 28125/1514

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: 8741/1729 = <<8741/1729=5>>5 days
### Answer: 5

Expected answer: 8741/1729

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the number of beads per section, divide the total number of beads by the number of sections: 33536 / 3206 = <<33536/3206=10.46>>10.46 beads per section.
### Answer: 10.46

Expected answer: 16768/1603

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The firefighter sprays 8749/299 = <<8749/299=29.26>>29.26 gallons of water each minute.
### Answer: 29.26

Expected answer: 673/23

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The company now needs 6354 square inches of glass material to produce 6122 windows. To find the amount of glass required for each window, we divide the total amount of glass by the number of windows: 6354 square inches / 6122 windows = <<6354/6122=1.0379>>1.0379 square inches per window.
### Answer: 1.0379

Expected answer: 3177/3061

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The frog now jumps 9064/512 = <<9064/512=17.703125>>17.703125 centimeters per jump.
### Answer: 17.703125

Expected answer: 1133/64

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?

Qwen2-Math 72B:

 Reasoning: To find the number of flowers in each pot, we need to divide the total number of flowers by the number of pots.
7275 flowers ÷ 116 pots = <<7275/116=62.71551724137931>>62.71551724137931 flowers per pot.
### Answer: 63

Expected answer: 7275/116

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The ice cream shop sold 31,176/4035 = <<31176/4035=7.726>>7.726 scoops of ice cream each day.
### Answer: 7.726

Expected answer: 10392/1345

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each monkey would get 9,073/406 = <<9073/406=22.34729064039409>>22.34729064039409 bananas.
### Answer: 22

Expected answer: 9073/406

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: The hotel owner is actually ordering 3774/2 = <<3774/2=1887>>1887 tables.
### Answer: 1887

Expected answer: 1887

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?

Qwen2-Math 72B:

 Reasoning: To find out how many hats can be made with 1416 feathers, we need to divide the total number of feathers by the number of feathers per hat.
1416 feathers / 890 feathers per hat = <<1416/890=1.6>>1.6 hats.
Since we cannot make a fraction of a hat, the hat maker can only make 1 hat.
### Answer: 1

Expected answer: 708/445

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each player would have 17394/7489 = <<17394/7489=2.322>>2.322 points.
### Answer: 2.322

Expected answer: 17394/7489

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: Each section would have 139/126 = <<139/126=1.1031746031746032>>1.1031746031746032 acres.
### Answer: 1.1031746031746032

Expected answer: 139/126

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?

Qwen2-Math 72B:

 Reasoning: To find out how many yards of fabric are needed for each pair of pants, we need to divide the total amount of fabric by the number of pairs.
Total fabric = 4769 yards
Number of pairs = 11
Fabric per pair = Total fabric / Number of pairs
Fabric per pair = 4769 / 11
Fabric per pair = <<4769/11=433.54545454545456>>433.54545454545456
### Answer: 433.54545454545456

Expected answer: 4769/11

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?

Qwen2-Math 72B:

 Reasoning: The minute hand rotates 49716/9706 = <<49716/9706=5.12>>5.12 degrees each hour.
### Answer: 5.12

Expected answer: 24858/4853

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: There are 2542 stuffed animals spread over 373 different designs.
If each design has the same number of stuffed animals, then there are 2542/373 = <<2542/373=7>>7 stuffed animals for each design.
### Answer: 7

Expected answer: 2542/373

Correct? No

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?

Qwen2-Math 72B:

 Reasoning: To find the distance traveled each day, we need to divide the total distance by the number of days.
Distance traveled each day = Total distance / Number of days
Distance traveled each day = 31470 feet / 1406 days
Distance traveled each day = <<31470/1406=22.38>>22.38 feet
### Answer: 22.38

Expected answer: 15735/703

Correct? No