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?

GPT-3.5 Turbo:

Reasoning: To find the number of seconds it will take to fully inflate the smaller beach ball, we divide the total volume of air needed by the rate at which we fill the ball.

Number of seconds = 1310 cubic centimeters / 41 cubic centimeters per second = 31.95 seconds.

Since we cannot have a fraction of a second in this context, we round up to the nearest whole number.

### Answer: 32 seconds.

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?

GPT-3.5 Turbo:

Reasoning: If the new batch of juice is 2858 liters and is filled into 707 containers, then there are 2858/707 = <<2858/707=4>>4 liters of juice in each 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?

GPT-3.5 Turbo:

Reasoning: Each store would have received 4003/110 = <<4003/110=36.39>>36.39 pants.
Since we cannot distribute a fraction of a pant, each store would receive 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?

GPT-3.5 Turbo:

Reasoning: To find the number of bundles Farmer Bob will have with the new bundle size, we need to divide the total number of carrots by the new number of carrots in each bundle.

Number of bundles = 71820 / 2486 ≈ 28.88.

Since Farmer Bob cannot have a fraction of a bundle, he will have to round down to the nearest whole number.

Number of bundles = 28.

### Answer: 28.

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?

GPT-3.5 Turbo:

Reasoning: To find the number of times the slide has been used per day, we divide the total number of uses by the number of days: 9018 / 54 = 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?

GPT-3.5 Turbo:

Reasoning: If the snowfall is spread out over 1814 days, we divide the total snowfall by the new number of days: 31950 inches / 1814 days ≈ 17.62 inches per day.
### Answer: Approximately 17.62 inches per day.

Expected answer: 15975/907

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?

GPT-3.5 Turbo:

Reasoning: With 10,489 animals distributed in 5130 cages, the average number of animals per cage is given by: 10,489 animals / 5130 cages ≈ 2.045 animals per cage.
### Answer: 2.045

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?

GPT-3.5 Turbo:

Reasoning: The farmer actually has 5652 grams of carrots. To find out how many grams of carrots will be in each bag, we need to divide the total grams of carrots by the number of bags.

5652 grams / 5413 bags ≈ 1.045 grams per bag.

### Answer: Approximately 1.045 grams.

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?

GPT-3.5 Turbo:

Reasoning: To find the distance traveled in each stage when divided into 3113 stages, we divide the total distance by the number of stages: 38745 miles / 3113 stages = <<38745/3113=12.45>>12.45 miles per stage.
### Answer: 12.45 miles.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many liters each bottle contains, we divide the total amount of water by the number of bottles: 84,564 / 1,779 = <<84564/1779=48>>48 liters per bottle.
### Answer: 48

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?

GPT-3.5 Turbo:

If the fireplace uses 56888 BTU of energy over 3809 hours, we divide the total BTU used by the total number of hours: 56888 BTU / 3809 hours = <<56888/3809=14.93>>14.93 BTU per hour.
### Answer: 14.93 BTU per hour.

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?

GPT-3.5 Turbo:

Reasoning: To find the amount of snowfall per day during this period, we divide the total snowfall by the number of days: 36900 inches / 7138 days ≈ 5.17 inches per day.
### Answer: Approximately 5.17 inches per day.

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?

GPT-3.5 Turbo:

Reasoning: If there are 8787 giraffes spread out evenly across 71292 square kilometers, each giraffe would get 71292 / 8787 = <<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?

GPT-3.5 Turbo:

Reasoning: To find out how many pearls each friend will receive now, we need to divide the total number of pearls by the number of friends: 32812 / 4198 = <<32812/4198=7.8>>7.8 pearls per friend. Since we cannot have a fraction of a pearl, each friend will receive 7 pearls.
### Answer: 7.

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?

GPT-3.5 Turbo:

Reasoning: If the farm produces the same number of apples over 152 weeks instead of 19 weeks, then 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?

GPT-3.5 Turbo:

To find the distance the train covers in a day with the new total distance of 6280 miles over 695 days, we divide the total distance by the number of days: 6280 miles / 695 days = <<6280/695=9>>9 miles per day.
### Answer: 9 miles per day.

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?

GPT-3.5 Turbo:

Let \( x \) be the number of dolls made in a day.
We can set up a proportion to solve for \( x \):
\(\frac{41772}{4664} = \frac{x}{1}\)
\(x = \frac{41772}{4664} = 9\)
Therefore, the factory would have been making 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?

GPT-3.5 Turbo:

Reasoning: To find out how many times the drummer needs to hit the drum each day to meet his new goal, we divide the new total number of hits by the number of days: 7454 / 7 = 1064.
### Answer: 1064.

Expected answer: 7454/7

Correct? No

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?

GPT-3.5 Turbo:

To find out how many meters the dolphin is now swimming in an hour, we need to divide the new total distance by the total time: 6186 meters / 128 hours = <<6186/128=48.328125>>48.328125 meters per hour.
### Answer: 48.328125 meters per hour.

Expected answer: 3093/64

Correct? No

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?

GPT-3.5 Turbo:

To find the average number of streams per day on the less popular platform, we divide the total number of streams on this platform by the total number of days:

Average streams per day on the less popular platform = 4862 / 1987 ≈ 2 streams per day.

### Answer: 2 streams per day on the less popular platform.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many compasses each store will receive now, we need to divide the total number of compasses by the new number of stores: 33046 / 6456 = <<33046/6456=5>>5 compasses per store.
### Answer: 5 compasses.

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?

GPT-3.5 Turbo:

Reasoning: If each of the 58 plots yielded the same number of carrots, then each plot yielded 9653/58 = <<9653/58=166>>166 carrots.
### Answer: 166

Expected answer: 9653/58

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: With the new total distance of 7727 meters and the battery life of 18 hours, the scooter would travel 7727 meters / 18 hours = 429.277 meters per hour.

### Answer: 429.277 meters per hour.

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?

GPT-3.5 Turbo:

Let \( y \) be the amount of light energy the star emits every hour in the shorter period of 3349 hours. We can set up the equation:

\( 3349y = 94548 \)

Solving for \( y \):

\( y = \frac{94548}{3349} \approx 28.2 \)

Therefore, the star would emit approximately 28.2 units of light energy every hour in the shorter period of 3349 hours.
### Answer: 28.2.

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?

GPT-3.5 Turbo:

Reasoning: If the forest is divided into 1778 sections, we divide the total number of trees by the number of sections: 80752 trees / 1778 sections = 45 trees per section.
### Answer: 45 trees per section.

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?

GPT-3.5 Turbo:

Reasoning: To find the number of cucumbers harvested each day with the new quantity, we divide the total number of cucumbers harvested by the number of days: 4076 cucumbers / 216 days = 18.85 cucumbers per day. Since we cannot harvest a fraction of a cucumber, we round this to the nearest whole number, which is 19 cucumbers per day.
### Answer: 19 cucumbers per day.

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?

GPT-3.5 Turbo:

Reasoning: With 77545 cookies divided into 1834 packages, the number of cookies in each package is: 77545 cookies / 1834 packages = <<77545/1834=42>>42 cookies in each package.
### Answer: 42 cookies in each package.

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?

GPT-3.5 Turbo:

To find out how much light energy the star emits every second in this case, we need to divide the total light energy emitted by the star by the total number of seconds.

51750 units of light energy / 8670 seconds = 5.97 units of light energy per second.

### Answer: 5.97 units of light energy per second.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many candies the factory made each day in this scenario, we need to divide the total number of candies produced by the number of days: 25144 candies / 4290 days = 5.86 candies per day. Since we cannot produce a fraction of a candy, we would round this down to the nearest whole number, which is 5 candies per day.
### Answer: 5

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?

GPT-3.5 Turbo:

Reasoning: To find the number of loaves of bread needed, we divide the total number of slices needed by the number of slices in each loaf: 7638 slices / 10 slices per loaf = 763.8 loaves of bread. Since we cannot have a fraction of a loaf, we would need to round up to the nearest whole number. Therefore, 764 loaves of bread would be needed for the party.
### 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?

GPT-3.5 Turbo:

Let \( y \) be the number of new trees sprouting each day in the different area of the forest. We can set up the equation \( 119y = 6216 \) to represent the total number of trees sprouted over 119 days in this different area.
Solving for \( y \):
\[ 119y = 6216 \]
\[ y = \frac{6216}{119} \]
\[ y = 52 \]
Therefore, 52 new trees sprout each day in this different area of the forest.
### 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?

GPT-3.5 Turbo:

Reasoning: To find the number of cans of the different brand of dog food distributed per week, we divide the total number of cans by the number of weeks: 5,981 / 52 = <<5981/52=115>>115 cans 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?

GPT-3.5 Turbo:

If the farmer actually harvested 7664 potatoes from 2692 plants, we can find the new average by dividing the total number of potatoes by the number of plants: 7664 potatoes / 2692 plants = 2.84 potatoes per plant.

### Answer: 2.84 potatoes.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many marshmallows are made each hour during this longer production period, we divide the total number of marshmallows produced by the total number of hours: 85560 / 7544 = 11.34. Since we cannot produce a fraction of a marshmallow, we round down to the nearest whole number. Therefore, 11 marshmallows were made each hour during this period.
### Answer: 11

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?

GPT-3.5 Turbo:

Reasoning: To find the number of plots on the farm when each plot measures 23 square meters, we need to divide the total area of the farm by the area of each smaller plot.

Number of plots = Total area of the farm / Area of each smaller plot
Number of plots = 49,928 / 23
Number of plots = 2,172

### Answer: 2,172

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?

GPT-3.5 Turbo:

Reasoning: With the corrected number of days, the new daily use of flour for cookies is 62118 grams / 2755 days = 22.55 grams/day.

### Answer: 22.55 grams/day.

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?

GPT-3.5 Turbo:

Reasoning: If the shoemaker has 9498 pairs of shoes, we divide the total number of centimeters by the total number of pairs of shoes: 91100 cm / 9498 pairs ≈ 9.58 cm.
### Answer: Each pair would get approximately 9.58 centimeters of shoelace.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many bushels of apples each bin contains with the new total of 7798 bushels, we divide the total number of bushels by the number of bins: 7798 bushels / 5 bins = <<7798/5=1559.6>>1559.6 bushels per bin. Since we cannot have a fraction of a bushel, each bin will contain 1559 bushels of apples.
### Answer: 1559 bushels.

Expected answer: 7798/5

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: To find the number of confetti pieces per square foot when spread across 9944 square feet, we divide the total number of confetti pieces by the total area in square feet: 65325 / 9944 = <<65325/9944=6.56>>6.56 confetti pieces per square foot.
### Answer: 6.56.

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?

GPT-3.5 Turbo:

Reasoning: If the crayon factory produced 4521 crayons and they were evenly distributed into 123 boxes, then there would be 4521 crayons ÷ 123 boxes = <<4521/123=37>>37 crayons in each box.
### Answer: 37

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?

GPT-3.5 Turbo:

Reasoning: If the firefighter unit extinguished 45843 fires over 4913 weeks, we divide the total number of fires by the total number of weeks: 45843 fires / 4913 weeks = <<45843/4913=9>>9 fires per week.
### Answer: 9

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?

GPT-3.5 Turbo:

Reasoning: To find the new area of each section, we divide the total area of the park by the new number of sections: 57546 square meters / 131 sections = 439 square meters per section.
### Answer: 439 square meters.

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?

GPT-3.5 Turbo:

If the toothpaste company is now able to produce 9206 tubes of toothpaste with the same 4938 boxes of raw materials, we can find out how many toothpaste tubes are now generated from one box of raw materials by dividing the total number of toothpaste tubes produced by the total number of boxes of raw materials used.

9206 toothpaste tubes / 4938 boxes = 1.86 toothpaste tubes per box of raw materials.

### Answer: 1.86.

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?

GPT-3.5 Turbo:

Reasoning: If 8576 children use the Jungle gym over 84 days, then the number of children using the Jungle gym each day is given by 8576 children / 84 days = <<8576/84=102>>102 children per day.
### 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?

GPT-3.5 Turbo:

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

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?

GPT-3.5 Turbo:

Reasoning: If the total area of the large window is 7562 square inches and it is divided into 1147 equally sized smaller squares, then the area of each smaller square would be 7562 square inches / 1147 = <<7562/1147=6.6>>6.6 square inches.
### Answer: 6.6 square inches.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many oranges each selected tree produces, we divide the total number of oranges by the number of selected trees: 49,920 / 9,289 ≈ <<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?

GPT-3.5 Turbo:

Reasoning: With the revised information, we divide the total number of children who had a sandwich by the total number of schools: 34160 children / 7823 schools = 4.36. Since we cannot have a fraction of a child, we round down to the nearest whole number. Therefore, 4 children in each school had a sandwich for lunch.
### 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?

GPT-3.5 Turbo:

Reasoning: With 9060 grams of paste in the tube and using 306 grams per brushing, we can calculate the number of brushings by dividing the total amount of paste by the amount used per brushing.

9060 grams / 306 grams = 30 brushings

### Answer: 30 brushings.

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?

GPT-3.5 Turbo:

Reasoning: If the factory produced 8337 towels and distributed them evenly among 1309 boxes, we need to divide the total number of towels by the number of boxes: 8337 towels / 1309 boxes = 6 towels per box.
### Answer: 6 towels.

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"?

GPT-3.5 Turbo:

In the alien civilization's time measurement, 1 of their "day" is equivalent to 8212 Earth days. 

To find out how many messages they send per their "day", we need to divide the total number of messages by the number of their "days":
\[ \frac{43134}{\frac{3318}{8212}} = \frac{43134}{27307316} = \frac{1}{633} \]

Therefore, the alien civilization sends 1 message per their "day".
### Answer: 1

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?

GPT-3.5 Turbo:

Reasoning: To find the number of students per bus with the new number of buses, we divide the total number of students by the number of buses: 80,011 / 2069 = <<80011/2069=38>>38 students per bus now.
### Answer: 38 students per bus now.

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?

GPT-3.5 Turbo:

Reasoning: To find the number of cameras sold daily after the marketing campaign, we divide the total number of cameras sold by the number of days: 54020 cameras / 5546 days = <<54020/5546=9.73>>9.73 cameras sold daily.
Since we cannot sell a fraction of a camera, we round down to the nearest whole number. Therefore, the camera store now sells 9 cameras daily.
### Answer: 9 cameras.

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?

GPT-3.5 Turbo:

Reasoning: If the factory uses 418 containers, each container will now accommodate 25774/418 = <<25774/418=61.7>>61.7 liters of ice cream. Since we cannot have a fraction of a liter, we can round down to the nearest whole number.
### Answer: 61 liters.

Expected answer: 12887/209

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: Each bus drives a total of 3940/3412 = <<3940/3412=1.155>>1.155 miles in the next week.
### Answer: 1.155 miles.

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?

GPT-3.5 Turbo:

To find the energy produced per hour in this case, we divide the total energy generated by the number of hours: 5837 kW / 75 hours = 77.83 kW per hour.

### Answer: 77.83 kW per hour.

Expected answer: 5837/75

Correct? No

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?

GPT-3.5 Turbo:

If the total weight gain is still 3734 grams over 1651 days, the average daily weight gain would be 3734 grams / 1651 days = 2.26 grams per day on average.

### Answer: 2.26 grams per day.

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?

GPT-3.5 Turbo:

Reasoning: To find the amount of water released per minute with the second hose, we divide the total amount of water released by the total number of minutes: 33,532 liters / 7,845 minutes = 4.27 liters per minute.
### Answer: 4.27 liters per minute.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many eggs each chicken actually contributed, we divide the total number of eggs collected by the number of chickens: 96,120 / 9,046 = <<96120/9046=10.63>>10.63 eggs per chicken.
Since we cannot have a fraction of an egg, we can round this number to the nearest whole number. Each chicken actually contributed 11 eggs.
### Answer: 11

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?

GPT-3.5 Turbo:

Reasoning: To find out how much rain the town receives each day, we divide the total amount of rain by the number of days: 11458 / 8513 ≈ 1.346 millimeters of rain per day.
### Answer: 1.346.

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?

GPT-3.5 Turbo:

To find out how many pens would have been produced each hour if the factory had produced 2526 pens in 547 hours, we divide the total number of pens produced by the total number of hours worked.

2526 pens / 547 hours = 4.62 pens per hour.

Since we cannot produce a fraction of a pen, we would round down to the nearest whole number.

### Answer: 4 pens per hour.

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?

GPT-3.5 Turbo:

Reasoning: The total number of erasers increased from 285 to 4681, which is an increase of 4681 - 285 = 4396 erasers.
Each classroom will now receive 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?

GPT-3.5 Turbo:

In this new scenario, the penguin's speed would be calculated by dividing the distance traveled (4325 feet) by the time taken (5 hours). Therefore, the penguin's speed in this new scenario would be 4325 feet / 5 hours = <<4325/5=865>>865 feet per hour.
### Answer: 865 feet per hour.

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?

GPT-3.5 Turbo:

Reasoning: Each section holds 63360/9999 = <<63360/9999=6.336>>6.336 gallons of water.
### 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?

GPT-3.5 Turbo:

Reasoning: To find the new average number of minutes of advertisements shown each day, we divide the new total number of minutes by the number of days: 5352 minutes / 59 days = 90.71 minutes per day.
### Answer: 90.71 minutes per day.

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?

GPT-3.5 Turbo:

Reasoning: If the teacher marked 7117 marks over 1149 exam papers, we divide the total number of marks by the number of exam papers: 7117 / 1149 = <<7117/1149=6>>6 marks in each exam paper.
### Answer: 6

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?

GPT-3.5 Turbo:

Reasoning: With 6614 houses to supply, each house can receive 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?

GPT-3.5 Turbo:

Reasoning: If the butterfly spread 9710 eggs across 359 flowers, then each flower would receive 9710/359 = <<9710/359=27>>27 eggs.
### 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?

GPT-3.5 Turbo:

Reasoning: If the camera has 2122 pixels and divides them evenly into 61 rows, we need to divide the total number of pixels by the number of rows. So, 2122 pixels divided by 61 rows is 2122/61 = <<2122/61>>34 pixels in each row.
### Answer: 34 pixels.

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?

GPT-3.5 Turbo:

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

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?

GPT-3.5 Turbo:

Reasoning: To find out how much energy this fireplace burns in one hour, we need to divide the total energy burned in 4 hours by 4.

8712 kilojoules / 4 hours = 2178 kilojoules per hour.

### Answer: 2178 kilojoules per hour.

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?

GPT-3.5 Turbo:

Reasoning: With 6407 kilograms of snow available for 9 teams, each team would get 6407/9 = <<6407/9=712.8888888888889>>712.89 kilograms of snow.
### Answer: 712.89.

Expected answer: 6407/9

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: If the orchard harvested the same number of apples every day over 3028 days to yield a total of 56250 apples, then the number of apples harvested each day is 56250 / 3028 = <<56250/3028=18.6>>18.6 apples. Since we cannot harvest a fraction of an apple, we must round down to the nearest whole number. Therefore, the workers actually harvested 18 apples each day.
### Answer: 18

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?

GPT-3.5 Turbo:

Reasoning: We can find the number of days by dividing the total seconds by the number of seconds in a day: 8741 seconds / 1729 seconds/day = 5 days.
### Answer: 5 days.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many beads will be used for each section when distributed over 3206 sections, we need to divide the total number of beads by the number of sections: 33536 beads / 3206 sections = <<33536/3206=10.46>>10.46 beads per section.
Since we cannot have a fraction of a bead, we will round down to the nearest whole number. Therefore, there will be 10 beads in each section.
### Answer: 10 beads per section.

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?

GPT-3.5 Turbo:

The firefighter sprays 8749 gallons of water over 299 minutes. Let \( y \) be the number of gallons the firefighter sprays each minute now. We can set up the equation \( 299y = 8749 \) to represent the total amount of water sprayed in 299 minutes. Solving for \( y \):

\[ y = \frac{8749}{299} \approx 29.23 \text{ gallons per minute.} \]

### Answer: Approximately 29.23 gallons per minute.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many square inches of glass are required for each of the new model windows, we divide the total square inches of glass material by the number of windows: 6354 / 6122 = <<6354/6122=1.04>>1.04 square inches of glass are required for each of the new model windows.
### Answer: 1.04 square inches.

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?

GPT-3.5 Turbo:

Reasoning: The frog now jumps a total of 9064 centimeters in 512 jumps. To find the distance the frog now jumps per jump, we divide the new total distance by the number of jumps: 9064 cm / 512 jumps = <<9064/512=17.75>>17.75 cm per jump.
### Answer: 17.75 cm.

Expected answer: 1133/64

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: To find out how many flowers are in each pot when 7275 flowers are planted, we need to divide the total number of flowers by the number of pots. 
So, 7275 flowers / 116 pots = <<7275/116=62.75>>62.75 flowers in each pot.
Since we cannot have a fraction of a flower, we need to round down to the nearest whole number. Therefore, there would be 62 flowers in each pot.
### Answer: 62

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?

GPT-3.5 Turbo:

Reasoning: To find out how many scoops of ice cream the shop sold each day, we divide the total number of scoops sold by the number of days: 31,176 / 4035 ≈ 7.73.
### Answer: 7.73

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?

GPT-3.5 Turbo:

Reasoning: If there are 9,073 bananas to be split among 406 monkeys, each monkey would receive 9,073 / 406 = <<9073/406=22.36>>22.36 bananas. Since we cannot give a fraction of a banana to each monkey, we would round down to the nearest whole number. Therefore, each monkey would receive 22 bananas.
### Answer: 22 bananas.

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?

GPT-3.5 Turbo:

Reasoning: Since each table has 2 legs, the number of tables is given by 3774/2 = <<3774/2=1887>>1887 tables.
### Answer: 1887 tables.

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?

GPT-3.5 Turbo:

Reasoning: With only 1416 feathers available, we can find the number of hats that can be made by dividing the total number of feathers by the number of feathers used per hat.

Number of hats = 1416 feathers / 890 feathers per hat = 1 hat (rounded down since we cannot make a fraction of a hat).

### Answer: 1 hat.

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?

GPT-3.5 Turbo:

Reasoning: To find out how many points each player has when the total points are distributed among 7489 players, we need to divide the total points by the number of players. So, 17394 points divided by 7489 players is 17394/7489 = <<17394/7489=2.32>>2.32 points per player.
### Answer: 2.32

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?

GPT-3.5 Turbo:

Reasoning: If the park covers 139 acres and is divided into 126 identical sections, each section would cover 139/126 = <<139/126=1.1>>1.1 acres.
### Answer: 1.1 acres.

Expected answer: 139/126

Correct? No

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?

GPT-3.5 Turbo:

Reasoning: With only 4769 yards of fabric left, we can find out how many yards of fabric are needed for each pair of pants by dividing the total yards of fabric by the number of pairs of pants.
Each pair of pants will need 4769 yards / 11 pairs = <<4769/11=433>>433 yards of fabric.
### Answer: 433 yards.

Expected answer: 4769/11

Correct? No

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?

GPT-3.5 Turbo:

To find out how many degrees the minute hand rotates each hour in this new scenario, we divide the total rotation by the total time:

49716 degrees / 9706 hours = 5.12 degrees per hour.

### Answer: 5.12 degrees per hour.

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?

GPT-3.5 Turbo:

Let \( x \) be the number of stuffed animals for each design in this alternate scenario. We can set up the equation \( 373x = 2542 \) to represent the total number of stuffed animals spread over 373 different designs.

Solving for \( x \):
\[ 373x = 2542 \]
\[ x = \frac{2542}{373} \]
\[ x \approx 6.81 \]

Therefore, there would be approximately 6.81 stuffed animals for each design in this alternate scenario. Since we cannot have a fraction of a stuffed animal, we would round down to the nearest whole number.

Rounding down, there would be 6 stuffed animals for each design in this alternate scenario.
### Answer: 6

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?

GPT-3.5 Turbo:

Reasoning: If the bear travels a total of 31470 feet over 1406 days and travels the same distance each day, we divide the total distance by the number of days: 31470 feet / 1406 days = <<31470/1406=22.38>>22.38 feet per day.
### Answer: 22.38 feet per day.

Expected answer: 15735/703

Correct? No