🔗 Problem

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?

Gemma 2B:

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

    Number of seconds = 73841 cubic centimeters / 41 cubic centimeters per second = 1801 seconds.

    ### Answer: 1801 seconds.

Expected answer: 1801

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many liters of juice are in each container, we divide the total liters of juice produced by the number of containers: 73528/707 = <<73528/707=104>>104 liters of juice in each container.
    ### Answer: 104

Expected answer: 104

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each store received 87780/110 = <<87780/110=798>>798 pants.
    ### Answer: 798

Expected answer: 798

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

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

    Number of bundles = 71820 / 684 = 105.

    ### Answer: 105.

Expected answer: 105

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    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: 85860 / 54 = 1590 times per day.
    ### Answer: 1590.

Expected answer: 1590

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the amount of snowfall per day, we divide the total snowfall by the number of days in winter: 31950 inches / 225 days = 142 inches per day.
    ### Answer: 142 inches per day.

Expected answer: 142

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many grams of gold will be in each ring, we need to divide the total amount of gold by the number of rings.

    63802 grams of gold / 38 rings = <<63802/38=1681>>1681 grams of gold in each ring.

    ### Answer: 1681 grams.

Expected answer: 1679

Correct? No

🔗 Problem

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?

Gemma 2B:

    Reasoning: To find out how many full rings the goldsmith can make, we need to divide the total amount of gold by the amount of gold needed for each ring.

    60544 milligrams / 5504 milligrams = 11 full rings.

    ### Answer: 11.

Expected answer: 11

Correct? Yes

🔗 Problem

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?

Gemma 2B:

    Reasoning: The average number of animals in each cage is given by the total number of animals divided by the total number of cages: 10489 animals / 617 cages = 17 animals per cage.
    ### Answer: 17.

Expected answer: 17

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: 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.

    21652 grams / 5413 bags = 4 grams per bag.

    ### Answer: 4 grams.

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the distance traveled in each stage, we divide the total distance by the number of stages: 38745 miles / 5 stages = <<38745/5=7749>>7749 miles per stage.
    ### Answer: 7749 miles.

Expected answer: 7749

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many liters each bottle contains, we divide the total amount of water by the number of bottles: 84,564 / 261 = <<84564/261=324>>324 liters per bottle.
    ### Answer: 324

Expected answer: 324

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of pages in each volume, we divide the total number of pages by the number of volumes: 13467 pages / 201 volumes = <<13467/201=67>>67 pages per volume.
    ### Answer: 67 pages.

Expected answer: 67

Correct? Yes

🔗 Problem

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?

Gemma 2B:

    To find the BTU of energy used per hour, we divide the total BTU used by the total number of hours: 56888 BTU / 2188 hours = <<56888/2188=26>>26 BTU per hour.
    ### Answer: 26 BTU per hour.

Expected answer: 26

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the amount of snowfall per day, we divide the total snowfall by the number of days: 36900 inches / 82 days = 450 inches per day.
    ### Answer: 450 inches per day.

Expected answer: 450

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the area each giraffe gets, we divide the total area by the number of giraffes: 71292 / 2742 = <<71292/2742=26>>26 square kilometers per giraffe.
    ### Answer: 26 square kilometers.

Expected answer: 26

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find out how many lions were saved per year on average, we divide the total number of lions saved over 13 years by the number of years: 96187 lions / 13 years = 7407 lions per year on average.
    ### Answer: 7407 lions per year.

Expected answer: 7399

Correct? No

🔗 Problem

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?

Gemma 2B:

    Reasoning: To find out how many pearls each friend will receive, we need to divide the total number of pearls by the number of friends: 32812 / 631 = <<32812/631=52>>52 pearls per friend.
    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: If the farm produces a total of 36,784 apples during 19 weeks, then the farm produces 36,784/19 = <<36784/19=1936>>1936 apples weekly.
    ### Answer: 1936

Expected answer: 1936

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find the distance the train covers in a day, we divide the total distance traveled by the number of days: 63245 miles / 695 days = <<63245/695=91>>91 miles per day.
    ### Answer: 91 miles per day.

Expected answer: 91

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the number of dolls made in a day.
    We can set up a proportion to solve for \( x \):
    \(\frac{41772}{708} = \frac{x}{1}\)
    \(x = \frac{41772}{708} = 59\)
    Therefore, the factory was making 59 dolls in a day.
    ### Answer: 59

Expected answer: 59

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many times the drummer needs to hit the drum each day, we divide the total number of hits by the number of days: 61019 / 7 = 8717.
    ### Answer: 8717.

Expected answer: 8717

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find out how many meters the dolphin can swim in an hour, we need to divide the total distance by the total time: 98816 meters / 128 hours = <<98816/128=772>>772 meters per hour.
    ### Answer: 772 meters per hour.

Expected answer: 772

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?

Gemma 2B:

    To find the average number of streams per day, we divide the total number of streams by the total number of days:

    Average streams per day = 71532 / 1987 ≈ 36 streams per day.

    ### Answer: 36 streams per day.

Expected answer: 36

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    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 / 1066 = <<33046/1066=31>>31 compasses per store.
    ### Answer: 31 compasses.

Expected answer: 31

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: If each of the 58 plots yielded the same number of carrots, then each plot yielded 49822/58 = <<49822/58=859>>859 carrots.
    ### Answer: 859

Expected answer: 859

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let the original area be \( x \) square meters. When the cloud covers the sky, the area covered is \( x \) square meters. When the cloud dispels, the revealed area is also \( x \) square meters.

    Given that the revealed area is divided equally over the original area, we have:

    \[
    \frac{x}{2} = 8744
    \]

    Solving for \( x \):

    \[
    x = 2 \times 8744 = 17488
    \]

    The ratio of the revealed area to the original area is:

    \[
    \frac{8744}{17488} = \frac{1}{2}
    \]

    ### Answer: \( \frac{1}{2} \)

Expected answer: 1

Correct? Yes

🔗 Problem

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?

Gemma 2B:

    Reasoning: To find the distance the scooter travels per hour, we divide the total distance by the battery life in hours: 97506 meters / 18 hours = 5417 meters per hour.

    ### Answer: 5417 meters per hour.

Expected answer: 5417

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the amount of light energy the star emits every hour. We can set up the equation:

    \( 7879x = 94548 \)

    Solving for \( x \):

    \( x = \frac{94548}{7879} = 12 \)

    Therefore, the star emits 12 units of light energy every hour.
    ### Answer: 12.

Expected answer: 12

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many trees are in each section, we divide the total number of trees by the number of sections: 80752 trees / 412 sections = 196 trees per section.
    ### Answer: 196 trees per section.

Expected answer: 196

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of cucumbers harvested each day, we divide the total number of cucumbers harvested by the number of days: 44280 cucumbers / 216 days = 205 cucumbers per day.
    ### Answer: 205 cucumbers per day.

Expected answer: 205

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many cookies are in each package, we need to divide the total number of cookies by the number of packages: 77545 cookies / 1193 packages = <<77545/1193=65>>65 cookies in each package.
    ### Answer: 65 cookies in each package.

Expected answer: 65

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A star emits 51750 units of light energy every 125 seconds. How much light energy does the star emit every second?

Gemma 2B:

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

    51750 units of light energy / 125 seconds = 414 units of light energy per second.

    ### Answer: 414 units of light energy per second.

Expected answer: 414

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?

Gemma 2B:

    Reasoning: To find out how many candies the factory made each day, we need to divide the total number of candies produced by the number of days: 25144 candies / 56 days = <<25144/56=449>>449 candies per day.
    ### Answer: 449

Expected answer: 449

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    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: 34240 slices / 10 slices per loaf = 3424 loaves of bread.
    ### Answer: 3424.

Expected answer: 3424

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the number of new trees sprouting each day. We can set up the equation \( 119x = 20111 \) to represent the total number of trees sprouted over 119 days.
    Solving for \( x \):
    \[ 119x = 20111 \]
    \[ x = \frac{20111}{119} \]
    \[ x = 169 \]
    Therefore, 169 new trees sprout each day.
    ### Answer: 169

Expected answer: 169

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of cans of dog food distributed per week, we divide the total number of cans by the number of weeks: 91,104 / 52 = <<91104/52=1752>>1752 cans per week.
    ### Answer: 1752

Expected answer: 1752

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many yards of fabric are used for each blanket, we divide the total yards of fabric by the number of blankets produced: 19944 yards / 18 blankets = 1108 yards per blanket.

    ### Answer: 1108 yards per blanket.

Expected answer: 1108

Correct? Yes

🔗 Problem

Problem: A farmer has harvested a total of 45764 potatoes from his 2692 plants. On average, how many potatoes does each plant produce?

Gemma 2B:

    To find the average number of potatoes each plant produces, we divide the total number of potatoes by the number of plants: 45764 potatoes / 2692 plants = 17 potatoes per plant.

    ### Answer: 17 potatoes.

Expected answer: 17

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many marshmallows are made each hour, we divide the total number of marshmallows produced by the total number of hours: 85560 / 713 = <<85560/713=120>>120 marshmallows per hour.
    ### Answer: 120

Expected answer: 120

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of plots on the farm, we need to divide the total area of the farm by the area of each plot.

    Number of plots = Total area of the farm / Area of each plot
    Number of plots = 49,928 / 6,241
    Number of plots = 8

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the amount of flour used each day, we divide the total amount of flour used by the number of days: 62118 grams / 2142 days = 29 grams/day.

    ### Answer: 29 grams/day.

Expected answer: 29

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many centimeters of shoelace each pair gets, we divide the total number of centimeters by the total number of pairs of shoes: 91100 cm / 3644 pairs = 25 cm.
    ### Answer: Each pair gets 25 centimeters of shoelace.

Expected answer: 25

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A farmer harvests 505 bushels of apples and equally distributes them into 5 bins. How many bushels of apples does each bin contain?

Gemma 2B:

    Reasoning: To find out how many bushels of apples each bin contains, we divide the total number of bushels by the number of bins: 505 bushels / 5 bins = <<505/5=101>>101 bushels per bin.
    ### Answer: 101 bushels.

Expected answer: 101

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of confetti pieces per square foot, we divide the total number of confetti pieces by the total area in square feet: 65325 / 5025 = <<65325/5025=13>>13 confetti pieces per square foot.
    ### Answer: 13.

Expected answer: 13

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A crayon factory produced 26691 crayons which are evenly distributed into 123 boxes. How many crayons are there in each box?

Gemma 2B:

    Reasoning: To find out how many crayons are in each box, we need to divide the total number of crayons by the number of boxes: 26691 crayons ÷ 123 boxes = <<26691/123=217>>217 crayons in each box.
    ### Answer: 217

Expected answer: 217

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many fires the firefighter unit extinguished per week, we divide the total number of fires by the total number of weeks: 45843 fires / 413 weeks = <<45843/413=111>>111 fires per week.
    ### Answer: 111

Expected answer: 111

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the area of each section, we divide the total area of the park by the number of sections: 57546 square meters / 9591 sections = 6 square meters per section.
    ### Answer: 6 square meters.

Expected answer: 6

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find out how many toothpaste tubes are generated from one box of raw materials, we need to divide the total number of toothpaste tubes produced by the total number of boxes of raw materials used.

    93822 toothpaste tubes / 4938 boxes = 19 toothpaste tubes per box of raw materials.

    ### Answer: 19.

Expected answer: 19

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: If the Jungle gym is used by the same number of kids each day, then the total number of children divided by the number of days will give us the number of children who use the Jungle gym each day. So, 40740 children / 84 days = <<40740/84=485>>485 children use the Jungle gym each day.
    ### Answer: 485

Expected answer: 485

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the amount of snow used for each snowman, we divide the total amount of snow used by the number of snowmen: 39482 cc / 38 snowmen = <<39482/38=1039>>1039 cc per snowman.
    ### Answer: 1039 cc.

Expected answer: 1039

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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.

Gemma 2B:

    Reasoning: To find the area of each smaller square, we divide the total area of the large window by the number of smaller squares: 67673 square inches / 1147 = <<67673/1147=59>>59 square inches.
    ### Answer: 59 square inches.

Expected answer: 59

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many oranges each tree produces, we divide the total number of oranges by the number of trees: 49,920 / 195 = <<49920/195=256>>256 oranges per tree.
    ### Answer: 256

Expected answer: 256

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many children in each school had a sandwich for lunch, we divide the total number of children who had a sandwich by the total number of schools: 34160 children / 4270 schools = <<34160/4270=8>>8 children in each school had a sandwich for lunch.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many times you can brush your teeth with the toothpaste tube, you need to divide the total amount of paste by the amount used per brushing.

    3366 grams / 306 grams = 11 brushings

    ### Answer: 11 brushings.

Expected answer: 11

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A textile factory produces 49742 towels, evenly distributed among 1309 boxes. How many towels are in each box?

Gemma 2B:

    Reasoning: To find out how many towels are in each box, we need to divide the total number of towels by the number of boxes: 49742 towels / 1309 boxes = 38 towels per box.
    ### Answer: 38 towels.

Expected answer: 38

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the number of messages the alien civilization sends per day. We can set up the equation \( x \times 3318 = 43134 \) to represent the total number of messages sent over 3318 days.

    Solving for \( x \):
    \[ x \times 3318 = 43134 \]
    \[ x = \frac{43134}{3318} \]
    \[ x = 13 \]

    Therefore, the alien civilization sends 13 messages per day.
    ### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

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"?

Gemma 2B:

    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

Problem: A school district has 80,011 students who are equally distributed across 31 school buses. How many students are there per bus?

Gemma 2B:

    Reasoning: To find the number of students per bus, we divide the total number of students by the number of buses: 80,011 / 31 = <<80011/31=2581>>2581 students per bus.
    ### Answer: 2581 students per bus.

Expected answer: 2581

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of cameras sold daily, we divide the total number of cameras sold by the number of days: 54020 cameras / 730 days = <<54020/730=74>>74 cameras sold daily.
    ### Answer: 74 cameras.

Expected answer: 74

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each container accommodates 25774/526 = <<25774/526=49>>49 liters of ice cream.
    ### Answer: 49

Expected answer: 49

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each bus drives a total of 85300/3412 = <<85300/3412=25>>25 miles in a week.
    ### Answer: 25 miles.

Expected answer: 25

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A wind turbine generates a total of 92250 kilowatts of energy over 75 hours. How much energy does it produce per hour?

Gemma 2B:

    To find the energy produced per hour, we divide the total energy generated by the number of hours: 92250 kW / 75 hours = 1230 kW per hour.

    ### Answer: 1230 kW per hour.

Expected answer: 1230

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find the average daily weight gain, we divide the total weight gain by the number of days: 3734 grams / 1867 days = 2 grams per day on average.

    ### Answer: 2 grams per day.

Expected answer: 2

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the amount of water released per minute, we divide the total amount of water released by the total number of minutes: 33,532 liters / 8,383 minutes = 4 liters per minute.
    ### Answer: 4 liters per minute.

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many eggs each chicken contributes, we divide the total number of eggs collected by the number of chickens: 96,120 / 20 = <<96120/20=4806>>4806 eggs per chicken.
    ### Answer: 4806

Expected answer: 4806

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    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 / 17 = <<11458/17=674>>674 millimeters of rain per day.
    ### Answer: 674.

Expected answer: 674

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find out how many pens were produced every hour, we need to divide the total number of pens produced by the total number of hours worked.

    2526 pens / 842 hours = 3 pens per hour.

    ### Answer: 3 pens per hour.

Expected answer: 3

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A school decided to equally distribute 285 erasers among 19 classrooms. How many erasers does each classroom get?

Gemma 2B:

    Reasoning: To find out how many erasers each classroom gets, we divide the total number of erasers by the number of classrooms: 285 erasers / 19 classrooms = <<285/19=15>>15 erasers per classroom.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Speed is calculated by dividing the distance traveled by the time taken. In this case, the penguin's speed is 41020 feet / 5 hours = <<41020/5=8204>>8204 feet per hour.
    ### Answer: 8204 feet per hour.

Expected answer: 8204

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each section holds 63360/576 = <<63360/576=110>>110 gallons of water.
    ### Answer: 110

Expected answer: 110

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A fashion company made a total of 21868 skirts distributed equally among 77 stores. How many skirts did each store get?

Gemma 2B:

    Reasoning: To find out how many skirts each store got, we need to divide the total number of skirts by the number of stores: 21868 skirts / 77 stores = <<21868/77=284>>284 skirts per store.
    ### Answer: 284

Expected answer: 284

Correct? Yes

🔗 Problem

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?

Gemma 2B:

    Reasoning: To find the average number of minutes of advertisements shown each day, we divide the total number of minutes by the number of days: 56109 minutes / 59 days = 951 minutes per day.
    ### Answer: 951 minutes per day.

Expected answer: 951

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A teacher marks a total of 59748 marks distributed evenly over 1149 exam papers. How many marks are in each exam paper?

Gemma 2B:

    Reasoning: To find the number of marks in each exam paper, we divide the total number of marks by the number of exam papers: 59748 / 1149 = <<59748/1149=52>>52 marks in each exam paper.
    ### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each house will receive 44840/76 = <<44840/76=590>>590 liters of water.
    ### Answer: 590

Expected answer: 590

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: The butterfly laid 5385 eggs in total and spread them evenly across 359 flowers, so each flower received 5385/359 = <<5385/359=15>>15 eggs.
    ### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A camera has a total of 95038 pixels divided evenly into 61 rows. How many pixels are there in each row?

Gemma 2B:

    Reasoning: To find out how many pixels are in each row, we need to divide the total number of pixels by the number of rows. So, 95038 pixels divided by 61 rows is 95038/61 = <<95038/61>>1558 pixels in each row.
    ### Answer: 1558 pixels.

Expected answer: 1558

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of ice cream cones made each day, we divide the total number of ice cream cones produced by the number of days: 45580 cones / 53 days = 860 cones per day.
    ### Answer: 860 cones per day.

Expected answer: 860

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of square inches of fabric each towel receives, we divide the total square inches of fabric by the number of towels: 36135 / 219 = <<36135/219=165>>165 square inches per towel.

    ### Answer: 165 square inches.

Expected answer: 165

Correct? Yes

🔗 Problem

Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?

Gemma 2B:

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

    36300 kilojoules / 4 hours = 9075 kilojoules per hour.

    ### Answer: 9075 kilojoules per hour.

Expected answer: 9075

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Each team was provided with a total of 51156/9 = <<51156/9=5684>>5684 kilograms of snow.
    ### Answer: 5684.

Expected answer: 5684

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: If the orchard harvested the same number of apples every day over 30 days, then the number of apples harvested each day is 56250 / 30 = <<56250/30=1875>>1875 apples.
    ### Answer: 1875

Expected answer: 1875

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: We can find the number of days by dividing the total seconds by the number of seconds in a day: 82992 seconds / 1729 seconds/day = 48 days.
    ### Answer: 48 days.

Expected answer: 48

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A map has a scale of 91368 centimeters representing 216 kilometers. How many centimeters on the map represent 1 kilometer in real life?

Gemma 2B:

    To find out how many centimeters on the map represent 1 kilometer in real life, we need to divide the number of centimeters on the map by the number of kilometers it represents.

    91368 centimeters represent 216 kilometers, so to find out how many centimeters represent 1 kilometer, we divide 91368 by 216:

    91368 / 216 = 424

    Therefore, 424 centimeters on the map represent 1 kilometer in real life.
    ### Answer: 424.

Expected answer: 423

Correct? No

🔗 Problem

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?

Gemma 2B:

    Reasoning: To find out how many beads will be used for each section, we need to divide the total number of beads by the number of sections: 33536 beads / 131 sections = <<33536/131=256>>256 beads per section.
    ### Answer: 256 beads per section.

Expected answer: 256

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the number of gallons the firefighter sprays each minute. We can set up the equation \( 299x = 69966 \) to represent the total amount of water sprayed in 299 minutes. Solving for \( x \):

    \[ x = \frac{69966}{299} = 234 \text{ gallons per minute.} \]

    ### Answer: 234 gallons per minute.

Expected answer: 234

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many square inches of glass are required for a single window, we divide the total square inches of glass material by the number of windows the current stock can cover: 6354 / 2118 = <<6354/2118=3>>3 square inches of glass are required for a single window.
    ### Answer: 3 square inches.

Expected answer: 3

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: The frog jumps a total of 12288 centimeters in 512 jumps. To find the distance the frog jumps per jump, we divide the total distance by the number of jumps: 12288 cm / 512 jumps = <<12288/512=24>>24 cm per jump.
    ### Answer: 24 cm.

Expected answer: 24

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A gardener planted a total of 1392 flowers evenly into 116 pots. How many flowers are there in each pot?

Gemma 2B:

    Reasoning: To find out how many flowers are in each pot, we need to divide the total number of flowers by the number of pots.
    So, 1392 flowers / 116 pots = <<1392/116=12>>12 flowers in each pot.
    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many scoops of ice cream the shop sold each week, we divide the total number of scoops sold by the number of weeks: 31,176 / 9 = 3,464.
    ### Answer: 3,464

Expected answer: 3464

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    To find the mouse's speed in meters per hour, we divide the total distance he ran by the total time he took: 14824 meters / 4 hours = 3706 meters per hour.

    ### Answer: 3706 meters per hour.

Expected answer: 3706

Correct? Yes

🔗 Problem

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?

Gemma 2B:

    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 / 406 = <<88508/406=218>>218 bananas per monkey.
    ### Answer: 218 bananas.

Expected answer: 218

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: Since each table has 2 legs, the number of tables is given by 15110/2 = <<15110/2=7555>>7555 tables.
    ### Answer: 7555 tables.

Expected answer: 7555

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find the number of hats that can be made, we need to divide the total number of feathers by the number of feathers used per hat.

    Number of hats = 3560 feathers / 890 feathers per hat = 4 hats.

    ### Answer: 4 hats.

Expected answer: 4

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?

Gemma 2B:

    Reasoning: To find out how many points each player has, we need to divide the total points by the number of players. So, 17394 points divided by 3 players is 17394/3 = <<17394/3=5798>>5798 points per player.
    ### Answer: 5798

Expected answer: 5798

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

Problem: The central park covers a big land area of 3276 acres divided into 126 identical sections. How many acres does each section have?

Gemma 2B:

    Reasoning: To find out how many acres each section has, we need to divide the total land area by the number of sections. So, 3276 acres divided by 126 sections gives us 3276/126 = <<3276/126=26>>26 acres per section.
    ### Answer: 26 acres.

Expected answer: 26

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many yards of fabric are needed for each pair of pants, we divide the total yards of fabric by the number of pairs of pants.
    Each pair of pants will need 54736 yards / 11 pairs = <<54736/11=4976>>4976 yards of fabric.
    ### Answer: 4976 yards.

Expected answer: 4976

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

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

    49716 degrees / 18 hours = 2762 degrees per hour.

    ### Answer: 2762 degrees per hour.

Expected answer: 2762

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Let \( x \) be the number of stuffed animals for each design. Since each design has the same number of stuffed animals, we can set up the equation \( 373x = 1865 \) to represent the total number of stuffed animals spread over 373 different designs.

    Solving for \( x \):
    \[ 373x = 1865 \]
    \[ x = \frac{1865}{373} \]
    \[ x = 5 \]

    Therefore, there are 5 stuffed animals for each design.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

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?

Gemma 2B:

    Reasoning: To find out how many feet the bear travels each day, we divide the total distance traveled by the number of days: 31470 feet / 30 days = <<31470/30=1049>>1049 feet per day.
    ### Answer: 1049 feet per day.

Expected answer: 1049

Correct? Yes

🔗 Follow-up

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?

Gemma 2B:

    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

🔗 Problem

Problem: A pen manufacturer produced 9636 pen units and distributed them equally among its 44 retailers. How many pen units did each retailer receive?

Gemma 2B:

    Reasoning: To find out how many pen units each retailer received, we divide the total number of pen units produced by the number of retailers: 9636 / 44 = <<9636/44=219>>219 pen units.
    ### Answer: 219

Expected answer: 219

Correct? Yes