🔗 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:

    Okay, let's break this down step-by-step:
    1) We know that the beach ball needs 73841 cubic centimeters of air to be fully inflated.
    2) The ball is being filled at a rate of 41 cubic centimeters per second.
    3) To find the time it will take to fully inflate the ball, we need to divide the total volume needed (73841 cubic cm) by the rate of inflation (41 cubic cm/second).
    4) 73841 cubic cm / 41 cubic cm/second = 1800 seconds.

    ### Answer: 1800 seconds

Expected answer: 1801

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:

    Okay, let's break this down step-by-step:
    * The juice company produced 73528 liters of juice
    * They filled the same amount of juice into 707 containers
    * To find the amount of juice in each container, we need to divide the total amount of juice by the number of containers

    Calculation:
    * Total juice produced: 73528 liters
    * Number of containers: 707
    * Juice per container = 73528 liters / 707 containers = <<73528 / 707 = 104>> 104 liters per container

    ### Answer: 104 liters

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:

    Okay, let's break this down step-by-step:
    * In the previous problem, the juice company produced 73528 liters of juice and filled it into 707 containers
    * Now, the company produced a new batch of 2858 liters of fresh juice
    * This new batch was also filled into 707 containers

    To find the amount of juice in each container now, we need to add the total juice from both batches and divide by the number of containers.

    Calculation:
    * Total juice from both batches: 73528 liters + 2858 liters = 76386 liters
    * Number of containers: 707
    * Juice per container = 76386 liters / 707 containers = <<76386 / 707 = 108>> 108 liters per container

    ### Answer: 108 liters

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:

    Okay, let's solve this step-by-step:
    1) The pants factory produced a total of 87780 pants.
    2) The pants were equally distributed to 110 wholesale clothing stores.
    3) To find how many pants each store received, we need to divide the total number of pants by the number of stores.
    4) 87780 pants / 110 stores = 798 pants per store.

    ### 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:

    Okay, let's solve this step-by-step:
    1) The pants factory produced a total of 4003 pants.
    2) The pants were equally distributed to 110 wholesale clothing stores.
    3) To find how many pants each store received, we need to divide the total number of pants by the number of stores.
    4) 4003 pants / 110 stores = 36.39 pants per store.

    Since we can't have a fractional number of pants, we need to round down to the nearest whole number.

    ### 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:

    Okay, let's break this down step-by-step:
    * Farmer Bob has grown 71820 carrots this season
    * He wants to sell them in bundles
    * Each bundle will consist of 684 carrots

    To find the number of bundles, we need to divide the total number of carrots by the number of carrots in each bundle.

    71820 carrots / 684 carrots per bundle = 105 bundles

    ### 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:

    Okay, let's solve this step-by-step:
    * Farmer Bob has 71820 carrots
    * He wants to distribute them into bundles of 2486 carrots each

    To find the number of bundles, we need to divide the total number of carrots by the number of carrots in each bundle.

    71820 carrots / 2486 carrots per bundle = 28.88 bundles

    Since we can't have a fractional number of bundles, we need to round up to the nearest whole number.

    ### Answer: 29

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:
    * The slide has been used 85860 times over 54 consecutive days.
    * The usage rate is constant, meaning the slide is used the same number of times each day.
    * To find the number of times per day the slide has been used, we need to divide the total number of times used by the number of days.
    * 85860 times used / 54 days = <<85860/54=1590>>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:
    * The slide has been used 9018 times over 54 consecutive days.
    * The usage rate is constant, meaning the slide is used the same number of times each day.
    * To find the number of times per day the slide has been used, we need to divide the total number of times used by the number of days.
    * 9018 times used / 54 days = <<9018/54=167>>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:

    Okay, let's break this down step-by-step:
    * The ski resort receives a total of 31950 inches of snowfall
    * This snowfall is evenly spread throughout 225 days of winter
    * To find the number of inches of snow the resort receives each day, we need to divide the total snowfall by the number of days

    Calculation:
    * Total snowfall: 31950 inches
    * Number of days: 225 days
    * Inches of snow per day = 31950 inches / 225 days = <<31950/225=142>>142 inches per day

    ### Answer: 142 inches

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:

    Okay, let's solve this step-by-step:
    * The ski resort receives a total of 31950 inches of snowfall
    * This snowfall is now spread out over 1814 days
    * To find the number of inches of snow the resort receives each day, we need to divide the total snowfall by the number of days

    Calculation:
    * Total snowfall: 31950 inches
    * Number of days: 1814 days
    * Inches of snow per day = 31950 inches / 1814 days = <<31950/1814=17.6>>17.6 inches per day

    ### Answer: 17.6 inches

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:

    Okay, let's break this down step-by-step:
    1) The jewelry manufacturer has 63802 grams of gold.
    2) They want to make 38 rings, and each ring will weigh exactly the same.
    3) To find the weight of each ring, we need to divide the total amount of gold by the number of rings.
    4) 63802 grams of gold / 38 rings = 1679.5263157894737 grams per ring.

    ### Answer: 1679.53 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:

    Okay, let's break this down step-by-step:
    * The goldsmith has a total of 60544 milligrams of gold
    * Each ring requires 5504 milligrams of gold
    * To find the number of full rings the goldsmith can make, we need to divide the total amount of gold by the amount of gold required per ring

    First, let's divide the total amount of gold by the amount of gold required per ring:
    * 60544 milligrams / 5504 milligrams per ring = 11 rings

    Therefore, the goldsmith can make 11 full rings with the 60544 milligrams of gold.

    ### 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:

    Okay, let's solve this step-by-step:
    1) We know that there are 10489 animals in the zoo.
    2) The animals are evenly distributed in 617 cages.
    3) To find the average number of animals in each cage, we need to divide the total number of animals by the number of cages.
    4) 10489 animals / 617 cages = <<10489/617=17>>17 animals per cage on average.

    ### 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:

    Okay, let's solve this step-by-step:
    1) We know that there are 10489 animals in the zoo.
    2) The animals are now evenly distributed in 5130 cages.
    3) To find the average number of animals in each cage, we need to divide the total number of animals by the number of cages.
    4) 10489 animals / 5130 cages = <<10489/5130=2.05>>2.05 animals per cage on average.

    ### Answer: 2.05

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:

    Okay, let's solve this step-by-step:
    1) The farmer has 21652 grams of carrots.
    2) He wants to distribute them evenly into 5413 bags.
    3) To find the amount of carrots in each bag, we divide the total amount of carrots by the number of bags:
    21652 grams / 5413 bags = <<21652 / 5413 = 4 grams>>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:

    Okay, let's solve this step-by-step:
    1) The farmer initially thought he had 21652 grams of carrots, but upon recounting, he actually has 5652 grams of carrots.
    2) He still wants to distribute the 5652 grams of carrots evenly into 5413 bags.
    3) To find the amount of carrots in each bag, we divide the total amount of carrots by the number of bags:
    5652 grams / 5413 bags = <<5652 / 5413 = 1.04 grams>>1.04 grams per bag.

    ### Answer: 1.04 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:

    Okay, let's break this down step-by-step:
    * The total distance traveled by the astronaut's spaceship is 38745 miles.
    * The journey is divided into 5 equal stages.
    * To find the distance traveled in each stage, we need to divide the total distance by the number of stages.
    * 38745 miles / 5 stages = 7749 miles per stage.

    ### Answer: 7749

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:

    Okay, let's work this out:
    * The total distance traveled by the spaceship is 38745 miles.
    * The journey is now divided into 3113 equal stages.
    * To find the distance traveled in each stage, we need to divide the total distance by the number of stages.
    * 38745 miles / 3113 stages = 12.45 miles per stage.

    ### Answer: 12.45

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:

    Okay, let's solve this step-by-step:
    1) The factory needs to distribute 84,564 liters of water.
    2) The water needs to be distributed evenly into 261 bottles.
    3) To find the amount of water in each bottle, we divide the total amount of water by the number of bottles:
    84,564 liters / 261 bottles = <<84,564 / 261 = 324.0>>324.0 liters per bottle.

    ### Answer: 324.0 liters

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:

    Okay, let's solve this step-by-step:
    1) The factory needs to distribute 84,564 liters of water.
    2) The water needs to be distributed evenly into 1,779 bottles.
    3) To find the amount of water in each bottle, we divide the total amount of water by the number of bottles:
    84,564 liters / 1,779 bottles = <<84,564 / 1,779 = 47.5>>47.5 liters per bottle.

    ### Answer: 47.5 liters

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:

    Okay, let's break this down step-by-step:
    * The book series contains a total of 13467 pages
    * The pages are divided equally among 201 volumes
    * To find the number of pages in each volume, we need to divide the total number of pages by the number of volumes

    Calculation:
    * Total pages: 13467
    * Number of volumes: 201
    * Pages per volume = 13467 / 201 = <<13467/201=67>>67 pages

    ### Answer: 67

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:

    Okay, let's break this down step-by-step:
    * The fireplace uses 56888 BTU of energy in 2188 hours
    * To find the BTU of energy used per hour, we need to divide the total BTU by the total hours
    * 56888 BTU / 2188 hours = <<56888 / 2188 = 26 BTU/hour>>26 BTU per hour

    ### Answer: 26 BTU/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:

    Okay, let's solve this step-by-step:
    * The fireplace uses 56888 BTU of energy in 3809 hours
    * To find the BTU of energy used per hour, we need to divide the total BTU by the total hours
    * 56888 BTU / 3809 hours = <<56888 / 3809 = 15 BTU/hour>>15 BTU per hour

    ### Answer: 15 BTU/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:

    Okay, let's break this down step-by-step:
    * The town recorded a total snowfall of 36900 inches across 82 days in winter.
    * The snow fell at a constant rate every day.

    To find the number of inches of snow the town received each day, we need to divide the total snowfall by the number of days.

    Total snowfall: 36900 inches
    Number of days: 82 days

    Inches of snow per day = Total snowfall / Number of days
    Inches of snow per day = 36900 inches / 82 days
    Inches of snow per day = <<36900 / 82 = 450>> 450 inches

    ### Answer: 450 inches

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:

    Okay, let's break this down step-by-step:
    * The town recorded a total snowfall of 36900 inches across 7138 days in another winter period.
    * The snow fell at a constant rate every day.

    To find the number of inches of snow the town received each day, we need to divide the total snowfall by the number of days.

    Total snowfall: 36900 inches
    Number of days: 7138 days

    Inches of snow per day = Total snowfall / Number of days
    Inches of snow per day = 36900 inches / 7138 days
    Inches of snow per day = <<36900 / 7138 = 5.17>> 5.17 inches

    ### Answer: 5.17 inches

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:

    Okay, let's break this down step-by-step:
    1) The wildlife reserve spans an area of 71292 square kilometers.
    2) The reserve is home to 2742 giraffes.
    3) To find how many square kilometers each giraffe gets, we need to divide the total area by the number of giraffes.
    4) 71292 square kilometers / 2742 giraffes = <<71292 / 2742 = 26>> 26 square kilometers per giraffe.

    ### Answer: 26

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:

    Okay, let's solve this step-by-step:
    1) The wildlife reserve spans an area of 71292 square kilometers.
    2) The reserve is home to 8787 giraffes.
    3) To find how many square kilometers each giraffe gets, we need to divide the total area by the number of giraffes.
    4) 71292 square kilometers / 8787 giraffes = <<71292 / 8787 = 8.11>> 8.11 square kilometers per giraffe.

    ### Answer: 8.11

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:

    Reasoning:
    * The lion conservation project successfully protected 96187 lions over a span of 13 years.
    * To find the average number of lions saved per year, we need to divide the total number of lions saved by the number of years.
    * 96187 lions / 13 years = <<96187 / 13 = 7399.77>>7399.77 lions per year on average.

    ### Answer: 7399.77

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:

    Okay, let's solve this step-by-step:
    1) Natalia has a total of 32812 pearls.
    2) She wants to divide them evenly among her 631 mermaid friends.
    3) To find the number of pearls each friend will receive, we need to divide the total number of pearls by the number of friends.
    4) 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:

    Okay, let's solve this step-by-step:
    1) The mermaid has a total of 32812 pearls.
    2) She wants to divide them evenly among her 4198 mermaid friends.
    3) To find the number of pearls each friend will receive, we need to divide the total number of pearls by the number of friends.
    4) 32812 ÷ 4198 = <<32812/4198=7.81>>7.81 pearls per friend.

    Since we can't have a fraction of a pearl, we need to round down to the nearest whole number.

    ### Answer: 7 pearls per friend.

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:

    Okay, let's break this down step-by-step:
    * The farm produces a total of 36,784 apples during the 19 weeks of its growing season.
    * The amount of harvested apples is the same each week.

    To find the number of apples produced weekly, we need to divide the total number of apples by the number of weeks.

    Total apples: 36,784
    Number of weeks: 19

    Weekly apples = Total apples / Number of weeks
    Weekly apples = 36,784 / 19
    Weekly apples = 1,936

    ### Answer: 1,936

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:

    Okay, let's work this out step-by-step:
    * The farm produces a total of 36,784 apples over 152 weeks
    * The amount of harvested apples is the same each week

    To find the number of apples produced weekly, we need to divide the total number of apples by the number of weeks.

    Total apples: 36,784
    Number of weeks: 152

    Weekly apples = Total apples / Number of weeks
    Weekly apples = 36,784 / 152
    Weekly apples = 242

    ### 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:

    Okay, let's break this down step-by-step:
    * The train travels 63245 miles over a period of 695 days
    * We need to find how many miles the train covers in a day

    To calculate the miles per day, we divide the total miles by the number of days:
    * 63245 miles / 695 days = 91 miles per day

    ### Answer: 91

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:

    Okay, let's solve this step-by-step:
    * The train now travels a total of 6280 miles over 695 days
    * We need to find how many miles the train covers in a day

    To calculate the miles per day, we divide the total miles by the number of days:
    * 6280 miles / 695 days = 9 miles per day

    ### Answer: 9

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:

    Okay, let's break this down step-by-step:
    * The doll factory produced a total of 41772 dolls over a period of 708 days.
    * To find the daily production rate, we need to divide the total number of dolls by the number of days.
    * 41772 dolls / 708 days = <<41772 / 708 = 59>> 59 dolls per 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:

    Okay, let's work this out:
    * The doll factory initially planned to produce 41772 dolls over 4664 days.
    * To find the daily production rate, we need to divide the total number of dolls by the number of days.
    * 41772 dolls / 4664 days = <<41772 / 4664 = 9>> 9 dolls per 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:

    Okay, let's break this down step-by-step:
    * The drummer has a goal to hit the drum 61019 times
    * He plans to do this over the course of 7 days
    * To find how many times he needs to hit the drum each day, we divide the total number of hits by the number of days

    Calculation:
    * Total number of hits: 61019
    * Number of days: 7
    * Number of hits per day = 61019 / 7 = <<61019/7=8717>>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:

    Okay, let's solve this step-by-step:
    * The drummer's new goal is to hit the drum 7454 times
    * He still plans to do this over the course of 7 days
    * To find how many times he needs to hit the drum each day, we divide the total number of hits by the number of days

    Calculation:
    * Total number of hits: 7454
    * Number of days: 7
    * Number of hits per day = 7454 / 7 = <<7454/7=1065>>1065

    ### Answer: 1065

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:

    Okay, let's break this down step-by-step:
    * The dolphin can swim an average of 98816 meters in 128 hours
    * To find the number of meters the dolphin can swim in an hour, we need to divide the total meters by the total hours
    * 98816 meters / 128 hours = <<98816 / 128 = 772>> 772 meters per hour

    ### Answer: 772

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:

    Okay, let's solve this step-by-step:
    * The dolphin swam a total of 6186 meters within 128 hours
    * To find the number of meters the dolphin is swimming per hour, we divide the total meters by the total hours
    * 6186 meters / 128 hours = <<6186 / 128 = 48.3125>> 48.3125 meters per hour

    ### Answer: 48.3125

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:

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

    Total number of streams: 71532
    Number of days: 1987

    Average streams per day = Total streams / Number of days
    Average streams per day = 71532 / 1987
    Average streams per day = <<71532 / 1987 = 36.0>>36.0

    ### Answer: 36.0

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:

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

    Total number of streams: 4862
    Number of days: 1987

    Average streams per day = Total streams / Number of days
    Average streams per day = 4862 / 1987
    Average streams per day = <<4862 / 1987 = 2.45>>2.45

    ### Answer: 2.45

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:

    Okay, let's break this down step-by-step:
    * The salesman has 33046 compasses
    * He wants to distribute them evenly among 1066 stores
    * To find how many compasses each store will receive, we need to divide the total number of compasses by the number of stores

    Calculation:
    * 33046 compasses / 1066 stores = 31 compasses per store

    ### Answer: 31

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:

    Okay, let's solve this step-by-step:
    * The salesman has 33046 compasses
    * He needs to distribute them equally among 6456 stores
    * To find how many compasses each store will receive, we need to divide the total number of compasses by the number of stores

    Calculation:
    * 33046 compasses / 6456 stores = 5.12 compasses per store

    Since we can't have a fractional number of compasses per store, we need to round down to the nearest whole number.

    ### Answer: 5

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:

    Okay, let's break this down step-by-step:
    * Total number of carrots harvested: 49822
    * Number of similar plots: 58
    * Each plot yielded the same number of carrots

    To find the number of carrots each plot yielded, we need to divide the total number of carrots by the number of plots:
    * 49822 carrots / 58 plots = <<49822/58=859>>859 carrots per plot

    ### Answer: 859

Expected answer: 859

Correct? Yes

🔗 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:

    Okay, let's break this down step-by-step:
    * Total number of carrots harvested: 9653
    * Number of similar plots: 58
    * Each plot yielded the same number of carrots

    To find the number of carrots each plot yielded, we need to divide the total number of carrots by the number of plots:
    * 9653 carrots / 58 plots = <<9653/58=166>>166 carrots per plot

    ### 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:

    Okay, let's break this down step-by-step:
    1) The cloud covers 8744 square meters of the sky.
    2) When the cloud dispels, the same area is revealed.
    3) The revealed area is divided equally over the original area.
    4) To find the ratio of the revealed area to the original area, we need to divide the revealed area by the original area.
    5) The revealed area is 8744 square meters.
    6) The original area is also 8744 square meters.
    7) The ratio of the revealed area to the original area is 8744/8744 = 1.

    ### Answer: 1

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:

    Okay, let's break this down step-by-step:
    * The scooter travels a total distance of 97506 meters on a full charge
    * The battery life of the scooter is 18 hours on a full charge

    To find the meters traveled per hour, we need to divide the total distance by the battery life:
    * 97506 meters / 18 hours = <<97506/18=5417>>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:

    Okay, let's solve this step-by-step:
    * The scooter's total distance on a full charge is 7727 meters
    * The battery life of the scooter is 18 hours

    To find the meters traveled per hour, we need to divide the total distance by the battery life:
    * 7727 meters / 18 hours = <<7727/18=429>>429 meters per hour

    ### Answer: 429 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:

    Okay, let's break this down step-by-step:
    * The star emits a total of 94548 units of light energy over a period of 7879 hours.
    * The star emits a constant amount of light energy every hour.

    To find the amount of light energy emitted every hour, we need to divide the total light energy by the number of hours:
    * Total light energy: 94548 units
    * Total hours: 7879 hours
    * Light energy emitted per hour = 94548 units / 7879 hours = <<94548 / 7879 = 12 units per hour>>12 units per hour

    ### Answer: 12 units per hour

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:

    Okay, let's solve this step-by-step:
    * The star emits a total of 94548 units of light energy over a period of 3349 hours.
    * The star emits a constant amount of light energy every hour.

    To find the amount of light energy emitted every hour, we need to divide the total light energy by the number of hours:
    * Total light energy: 94548 units
    * Total hours: 3349 hours
    * Light energy emitted per hour = 94548 units / 3349 hours = <<94548 / 3349 = 28.2 units per hour>>28.2 units per hour

    ### Answer: 28.2 units per hour

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:

    Okay, let's break this down step-by-step:
    * The forest contains a total of 80,752 trees
    * The forest is split evenly into 412 sections

    To find the number of trees in each section, we need to divide the total number of trees by the number of sections:
    * 80,752 trees / 412 sections = <<80,752 / 412 = 196>> 196 trees per section

    ### Answer: 196

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:

    Okay, let's solve this step-by-step:
    * The forest contains a total of 80,752 trees
    * The forest is now split evenly into 1,778 sections

    To find the number of trees in each section, we need to divide the total number of trees by the number of sections:
    * 80,752 trees / 1,778 sections = <<80,752 / 1,778 = 45.4>> 45.4 trees per section

    ### Answer: 45.4

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:

    Okay, let's break this down step-by-step:
    * The farm harvested 44280 cucumbers over 216 days
    * They harvested an equal amount of cucumbers each day

    To find the number of cucumbers harvested each day, we need to divide the total number of cucumbers by the number of days:

    * 44280 cucumbers / 216 days = <<44280 / 216 = 205>> 205 cucumbers per day

    ### Answer: 205

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:

    Okay, let's solve this step-by-step:
    * The farm harvested 4076 cucumbers over 216 days
    * They harvested an equal amount of cucumbers each day

    To find the number of cucumbers harvested each day, we need to divide the total number of cucumbers by the number of days:

    * 4076 cucumbers / 216 days = <<4076 / 216 = 18.87>> 18.87 cucumbers per day

    ### Answer: 18.87

Expected answer: 1019/54

Correct? No

🔗 Problem

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:

    Okay, let's break this down step-by-step:
    * The cookie factory produced a total of 77545 cookies
    * These cookies were evenly divided into 1193 packages
    * To find the number of cookies in each package, we need to divide the total number of cookies by the number of packages

    Calculation:
    * Total cookies: 77545
    * Number of packages: 1193
    * Cookies per package = 77545 / 1193 = <<77545 / 1193 = 65>>65

    ### Answer: 65

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:

    Okay, let's solve this step-by-step:
    * The cookie factory produced a total of 77545 cookies
    * These cookies were evenly divided into 1834 packages (instead of 1193 packages)
    * To find the number of cookies in each package, we need to divide the total number of cookies by the new number of packages

    Calculation:
    * Total cookies: 77545
    * Number of packages: 1834
    * Cookies per package = 77545 / 1834 = <<77545 / 1834 = 42>>42

    ### Answer: 42

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:

    Reasoning:
    * The star emits 51750 units of light energy every 125 seconds.
    * To find the amount of light energy emitted per second, we need to divide the total light energy emitted by the time in seconds.
    * 51750 units of light energy / 125 seconds = 414 units of light energy per second.

    ### Answer: 414

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:

    Okay, let's solve this step-by-step:
    * The star emits 51750 units of light energy every 8670 seconds.
    * To find the amount of light energy emitted per second, we need to divide the total light energy emitted by the time in seconds.
    * 51750 units of light energy / 8670 seconds = 5.97 units of light energy per second.

    ### Answer: 5.97

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:
    The candy factory produced 25144 candies evenly over 56 days.
    To find the number of candies produced each day, we need to divide the total number of candies by the number of days.
    25144 candies / 56 days = <<25144/56=448.57>>448.57 candies per day.
    Since we cannot have a fractional number of candies, we need to round down to the nearest whole number.
    ### Answer: 448 candies per day.

Expected answer: 449

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:
    * The party needs 34240 slices of bread for sandwiches.
    * Each loaf of bread contains 10 slices.
    * To find the number of loaves of bread needed, we need to divide the total number of slices needed by the number of slices per 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:
    * The party needs 7638 slices of bread for sandwiches.
    * Each loaf of bread contains 10 slices.
    * To find the number of loaves of bread needed, we need to divide the total number of slices needed by the number of slices per loaf.
    * 7638 slices / 10 slices per loaf = 763.8 loaves of bread.
    * Since we can't have a fractional number of loaves, we need to round up to the nearest whole number.
    * 763.8 rounded up to the nearest whole number is 764.

    ### 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:

    Okay, let's break this down step-by-step:
    * The forest ranger has noticed that over 119 days, 20111 trees have sprouted
    * This means that the total number of new trees sprouted is 20111
    * The number of days is 119
    * To find the number of new trees sprouting each day, we need to divide the total number of new trees by the number of days
    * 20111 trees / 119 days = <<20111/119=169>>169 new trees per 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:

    Okay, let's solve this step-by-step:
    * The forest ranger noticed that over 119 days, 6216 new trees had sprouted in a different area of the forest
    * This means the total number of new trees sprouted is 6216
    * The number of days is 119
    * To find the number of new trees sprouting each day, we need to divide the total number of new trees by the number of days
    * 6216 trees / 119 days = <<6216/119=52.32>>52.32 new trees per day

    ### Answer: 52.32

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:

    Okay, let's break this down step-by-step:
    * The dog food factory distributed 91,104 cans of dog food
    * They distributed the cans uniformly over 52 weeks
    * To find the number of cans distributed per week, we divide the total number of cans by the number of weeks:
    * 91,104 cans / 52 weeks = <<91,104 / 52 = 1,752>> 1,752 cans per week

    ### Answer: 1,752

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:

    Okay, let's solve this step-by-step:
    * The dog food factory distributed 5,981 cans of a different brand of dog food
    * They distributed the cans uniformly over 52 weeks
    * To find the number of cans distributed per week, we divide the total number of cans by the number of weeks:
    * 5,981 cans / 52 weeks = <<5,981 / 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:

    Okay, let's break this down step-by-step:
    * The company has 19944 yards of fabric
    * They can make 18 blankets from this total amount of fabric
    * The same amount of fabric is used to produce each blanket

    To find the amount of fabric used for each blanket, we need to divide the total amount of fabric by the number of blankets:
    * Total fabric: 19944 yards
    * Number of blankets: 18
    * Fabric used per blanket = 19944 / 18 = <<19944 / 18 = 1108>> 1108 yards

    ### Answer: 1108 yards

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:

    Okay, let's solve this step-by-step:
    1) The farmer has harvested a total of 45764 potatoes.
    2) The farmer has 2692 plants.
    3) To find the average number of potatoes per plant, we divide the total number of potatoes by the number of plants:
    45764 potatoes / 2692 plants = <<45764/2692=17>> 17 potatoes per plant.

    ### Answer: 17

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:

    Okay, let's solve this step-by-step:
    1) The farmer has harvested a total of 7664 potatoes, not 45764 as previously stated.
    2) The farmer has 2692 plants.
    3) To find the new average number of potatoes per plant, we divide the total number of potatoes by the number of plants:
    7664 potatoes / 2692 plants = <<7664/2692=2.85>> 2.85 potatoes per plant.

    ### Answer: 2.85

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:

    Okay, let's break this down step-by-step:
    * The factory produced 85,560 marshmallows in 713 hours
    * We need to find how many marshmallows are made each hour

    To find the number of marshmallows made per hour, we need to divide the total number of marshmallows by the total number of hours:
    * 85,560 marshmallows / 713 hours = 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:

    Okay, let's solve this step-by-step:
    * The factory produced 85,560 marshmallows in 7,544 hours
    * We need to find how many marshmallows are made each hour

    To find the number of marshmallows made per hour, we need to divide the total number of marshmallows by the total number of hours:
    * 85,560 marshmallows / 7,544 hours = 11.33 marshmallows per hour

    ### Answer: 11.33

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:

    Okay, let's break this down step-by-step:
    1) The total area of the farm is 49,928 square meters.
    2) Each plot is 6,241 square meters.
    3) To find the number of plots, we need to divide the total area by the area of each plot.
    4) 49,928 square meters / 6,241 square meters per plot = <<49,928 / 6,241 = 8>> 8 plots.

    ### 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:

    Okay, let's solve this step-by-step:
    1) The total area of the farm is 49,928 square meters.
    2) Each plot is now 23 square meters.
    3) To find the number of plots, we need to divide the total area by the area of each plot.
    4) 49,928 square meters / 23 square meters per plot = <<49,928 / 23 = 2,171.65>> 2,171.65 plots.
    5) Since we can't have a fractional number of plots, we need to round down to the nearest whole number.
    6) Therefore, the number of plots on the farm is <<2,171>> 2,171.

    ### Answer: 2,171

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:

    Okay, let's break this down step-by-step:
    * The baker used 62118 grams of flour in total
    * This was over the course of 2142 days
    * To find the amount of flour used per day, we divide the total flour used by the number of days:
    * 62118 grams of flour / 2142 days = <<62118 / 2142 = 29 grams>> 29 grams of flour per day

    ### Answer: 29 grams

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:

    Okay, let's recalculate the daily use of flour with the corrected information:

    * The baker used 62118 grams of flour in total
    * This was over the course of 2755 days
    * To find the amount of flour used per day, we divide the total flour used by the number of days:
    * 62118 grams of flour / 2755 days = <<62118 / 2755 = 22.6 grams>> 22.6 grams of flour per day

    So with the corrected information of 2755 days, the daily use of flour for cookies changes from 29 grams per day to 22.6 grams per day.

    ### Answer: 22.6 grams

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:

    Okay, let's break this down step-by-step:
    * The shoemaker has 91100 centimeters of shoelaces
    * He distributes them equally in 3644 pairs of shoes
    * To find how many centimeters of shoelace each pair gets, we need to divide the total centimeters by the number of pairs

    Calculation:
    * Total centimeters of shoelaces: 91100
    * Number of pairs of shoes: 3644
    * Centimeters of shoelace per pair = 91100 / 3644 = <<91100 / 3644 = 25>>25 centimeters

    ### Answer: 25

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:

    Okay, let's solve this step-by-step:
    * The shoemaker has 91100 centimeters of shoelaces
    * He distributes them equally in 9498 pairs of shoes
    * To find how many centimeters of shoelace each pair gets, we need to divide the total centimeters by the number of pairs

    Calculation:
    * Total centimeters of shoelaces: 91100
    * Number of pairs of shoes: 9498
    * Centimeters of shoelace per pair = 91100 / 9498 = <<91100 / 9498 = 9.6>>9.6 centimeters

    ### Answer: 9.6

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:
    The farmer harvested 505 bushels of apples.
    The farmer distributed the apples equally into 5 bins.
    To find the number of bushels in each bin, 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

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:
    The farmer has harvested 7798 bushels of apples.
    The farmer is distributing the apples equally into 5 bins.
    To find the number of bushels in each bin, 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.

    ### Answer: 1559.6

Expected answer: 7798/5

Correct? Yes

🔗 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:

    Okay, let's break this down step-by-step:
    * There were a total of 65325 confetti pieces
    * The confetti pieces were equally spread across 5025 square feet of area
    * To find the number of confetti pieces per square foot, we need to divide the total number of confetti pieces by the total area in square feet

    Calculation:
    * Total confetti pieces: 65325
    * Total area in square feet: 5025
    * Confetti pieces per square foot = 65325 / 5025 = <<65325 / 5025 = 13>>13

    ### 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:

    Okay, let's solve this step-by-step:
    * The total number of confetti pieces is 65325
    * The total area the confetti pieces were spread across is 9944 square feet
    * To find the number of confetti pieces per square foot, we divide the total confetti pieces by the total area in square feet

    Calculation:
    * Total confetti pieces: 65325
    * Total area in square feet: 9944
    * Confetti pieces per square foot = 65325 / 9944 = <<65325 / 9944 = 6.57>>6.57

    ### Answer: 6.57

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:

    Okay, let's solve this step-by-step:
    1) The factory produced 26691 crayons.
    2) The crayons are evenly distributed into 123 boxes.
    3) To find the number of crayons in each box, we need to divide the total number of crayons by the number of boxes.
    4) 26691 ÷ 123 = 217.
    ### 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:

    Okay, let's solve this step-by-step:
    1) The factory produced 4521 crayons.
    2) The crayons are evenly distributed into 123 boxes.
    3) To find the number of crayons in each box, we need to divide the total number of crayons by the number of boxes.
    4) 4521 ÷ 123 = 36.8
    5) Since we can't have a fractional number of crayons in each box, we need to round down to the nearest whole number.
    ### Answer: 36

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:

    Okay, let's break this down step-by-step:
    * The firefighter unit extinguished a total of 45843 fires over 413 weeks.
    * We need to find the number of fires extinguished per week.
    * To do this, we divide the total number of fires (45843) by the number of weeks (413).

    Calculation:
    45843 fires / 413 weeks = 111.0 fires per week

    ### Answer: 111.0

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:

    Okay, let's break this down step-by-step:
    * The firefighter unit extinguished a total of 45843 fires over 4913 weeks.
    * We need to find the number of fires extinguished per week.
    * To do this, we divide the total number of fires (45843) by the number of weeks (4913).

    Calculation:
    45843 fires / 4913 weeks = 9.33 fires per week

    ### Answer: 9.33

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:

    Okay, let's break this down step-by-step:
    * The park is 57546 square meters large
    * The park is divided into 9591 identical sections
    * We need to find the area of each section in square meters

    To find the area of each section, we need to divide the total area of the park by the number of sections:
    * Total area of the park: 57546 square meters
    * Number of sections: 9591
    * Area of each section = 57546 / 9591 = <<57546 / 9591 = 6>> 6 square meters

    ### 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:

    Okay, let's solve this step-by-step:
    * The park is 57546 square meters large
    * The park is now divided into 131 identical sections
    * We need to find the area of each section in square meters

    To find the area of each section, we need to divide the total area of the park by the number of sections:
    * Total area of the park: 57546 square meters
    * Number of sections: 131
    * Area of each section = 57546 / 131 = <<57546 / 131 = 440>> 440 square meters

    ### Answer: 440 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:

    Okay, let's break this down step-by-step:
    * The toothpaste company produced 93822 tubes of toothpaste
    * They used 4938 boxes of raw materials to produce this amount
    * We need to find how many toothpaste tubes are generated from one box of raw materials

    To do this, we can divide the total number of toothpaste tubes by the total number of boxes of raw materials:
    * 93822 tubes / 4938 boxes = <<93822 / 4938 = 19>> 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:

    Okay, let's break this down step-by-step:
    * The toothpaste company is now able to produce 9206 tubes of toothpaste
    * They are still using 4938 boxes of raw materials
    * We need to find how many toothpaste tubes are generated from one box of raw materials with the new manufacturing process

    To do this, we can divide the total number of toothpaste tubes by the total number of boxes of raw materials:
    * 9206 tubes / 4938 boxes = <<9206 / 4938 = 1.86>> 1.86 toothpaste tubes per box of raw materials

    Since we can't have a fractional number of toothpaste tubes, we need to round down to the nearest whole number:
    * 1.86 rounded down to the nearest whole number is 1

    ### Answer: 1

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:

    Okay, let's break this down step-by-step:
    * The Jungle gym is used by a total of 40,740 children over 84 days
    * The Jungle gym is used by the same number of kids each day

    To find the number of children using the Jungle gym each day, we need to divide the total number of children by the number of days:

    * Total children: 40,740
    * Number of days: 84
    * Number of children per day = 40,740 / 84 = <<40,740 / 84 = 485>>485

    ### 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:

    Okay, let's solve this step-by-step:
    * Over 84 days, 8,576 children used the Jungle gym
    * The Jungle gym is used equally by kids each day

    To find the number of children using the Jungle gym per day, we need to divide the total number of children by the number of days:

    * Total children: 8,576
    * Number of days: 84
    * Number of children per day = 8,576 / 84 = <<8,576 / 84 = 102>>102

    ### 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:

    Okay, let's solve this step-by-step:
    * The competition uses 39482 cc of snow to make 38 identical snowmen
    * To find the amount of snow used for each snowman, we need to divide the total amount of snow by the number of snowmen
    * 39482 cc / 38 snowmen = <<39482 / 38 = 1039.53 cc>> 1039.53 cc per snowman

    ### Answer: 1039.53 cc

Expected answer: 1039

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:

    Okay, let's break this down step-by-step:
    1) We have a large window that spans 67673 square inches.
    2) This large window is being divided into 1147 equally sized smaller squares.
    3) To find the area of each smaller square, we need to divide the total area of the large window by the number of smaller squares.
    4) 67673 square inches / 1147 smaller squares = <<67673/1147=59>> 59 square inches per smaller square.

    ### 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:

    Okay, let's work this out step-by-step:
    1) The large window now spans 7562 square inches.
    2) It is still being divided into 1147 equally sized smaller squares.
    3) To find the area of each smaller square, we need to divide the total area of the large window by the number of smaller squares.
    4) 7562 square inches / 1147 smaller squares = <<7562/1147=6.6>> 6.6 square inches per smaller square.

    ### 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:

    Okay, let's break this down step-by-step:
    * The farmer has a large field with 195 orange trees
    * The trees produce a total of 49,920 oranges
    * We need to find how many oranges each tree produces

    To find the number of oranges each tree produces, we need to divide the total number of oranges by the number of trees:
    * 49,920 oranges / 195 trees = <<49,920 / 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:

    Okay, let's solve this step-by-step:
    * The farmer has 9,289 best-performing trees
    * The total number of oranges produced is 49,920
    * We need to find how many oranges each of the 9,289 selected trees produces

    To find the number of oranges each selected tree produces, we need to divide the total number of oranges by the number of selected trees:
    * 49,920 oranges / 9,289 trees = <<49,920 / 9,289 = 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:

    Okay, let's break this down step-by-step:
    * There are 4270 schools in the country
    * 34160 children had a sandwich for lunch
    * Every school has an equal number of children

    To find the number of children in each school that had a sandwich for lunch, we need to divide the total number of children who had a sandwich by the total number of schools.

    34160 children had a sandwich / 4270 schools = <<34160/4270=8>> 8 children per 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:

    Okay, let's solve this with the revised information:
    * There are 7823 schools in the country
    * 34160 children had a sandwich for lunch

    To find the number of children in each school that had a sandwich for lunch, we need to divide the total number of children who had a sandwich by the total number of schools.

    34160 children had a sandwich / 7823 schools = <<34160/7823=4.37>> 4.37 children per school had a sandwich for lunch.

    Since we can't have a fractional number of children, we need to round down to the nearest whole number.

    ### Answer: 4 children per school had a sandwich for lunch.

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:

    Okay, let's break this down step-by-step:
    * The toothpaste tube contains 3366 grams of paste
    * Each brushing uses an average of 306 grams

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

    * 3366 grams / 306 grams per brushing = <<3366/306=11>>11 brushings

    Therefore, you can brush your teeth 11 times with this tube of toothpaste.

    ### Answer: 11

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:

    Okay, let's solve this step-by-step:
    * The toothpaste tube contains 9060 grams of paste
    * Each brushing uses an average of 306 grams

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

    * 9060 grams / 306 grams per brushing = <<9060/306=29.6666...>>29.6666... brushings

    Since we can't have a fractional number of brushings, we need to round down to the nearest whole number:

    * 29 brushings

    Therefore, you can brush your teeth 29 times with this tube of toothpaste.

    ### Answer: 29

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:

    Okay, let's solve this step-by-step:
    1) The factory produces 49742 towels.
    2) The towels are evenly distributed among 1309 boxes.
    3) To find the number of towels in each box, we need to divide the total number of towels by the number of boxes.
    4) 49742 towels / 1309 boxes = <<49742/1309=38>>38 towels per box.

    ### Answer: 38

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:

    Okay, let's solve this step-by-step:
    1) The factory produces 8337 towels.
    2) The towels are evenly distributed among 1309 boxes.
    3) To find the number of towels in each box, we need to divide the total number of towels by the number of boxes.
    4) 8337 towels / 1309 boxes = <<8337/1309=6.37>>6.37 towels per box.

    Since we can't have a fractional number of towels per box, we need to round down to the nearest whole number.

    ### Answer: 6

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:

    Okay, let's break this down step-by-step:
    * The alien civilization sends 43134 messages over a period of 3318 Earth days.
    * We need to find how many messages they send per day.
    * To do this, we divide the total number of messages by the number of days:
    * 43134 messages / 3318 days = <<43134 / 3318 = 13>> 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:

    Okay, let's work this out step-by-step:
    * The alien civilization uses a different form of time measurement, where each of their "days" represents 8212 of our Earth days.
    * They sent 43134 messages over this period.
    * To find how many messages they send per their "day", we need to first find how many of their "days" are in the total period.
    * 3318 Earth days / 8212 Earth days per alien "day" = <<3318 / 8212 = 0.4>> 0.4 alien "days"
    * Since they send the same number of messages each day, we can divide the total messages by the number of their "days" to get the messages per "day":
    * 43134 messages / 0.4 alien "days" = <<43134 / 0.4 = 107835>> 107,835 messages per alien "day".

    ### Answer: 107,835

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:

    Okay, let's break this down step-by-step:
    * The school district has 80,011 students
    * The students are equally distributed across 31 school buses
    * To find the number of students per bus, we need to divide the total number of students by the number of buses

    Calculation:
    * Total students: 80,011
    * Number of buses: 31
    * Students per bus = 80,011 / 31
    * Students per bus = 2,581

    ### Answer: 2,581

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:

    Okay, let's solve this step-by-step:
    * The school district has 80,011 students
    * The students are now equally distributed across 2069 buses
    * To find the number of students per bus, we need to divide the total number of students by the number of buses

    Calculation:
    * Total students: 80,011
    * Number of buses: 2069
    * Students per bus = 80,011 / 2069
    * Students per bus = 38.7

    Since we can't have a fractional number of students per bus, we need to round down to the nearest whole number.

    ### Answer: 38

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:

    Okay, let's break this down step-by-step:
    * The camera store sold 54020 cameras over a period of 730 days
    * We need to find the number of cameras sold daily
    * To do this, 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

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:

    Okay, let's solve this step-by-step:
    * The camera store sold 54020 cameras in 5546 days
    * We need to find the number of cameras sold daily
    * To do this, we divide the total number of cameras sold by the number of days
    * 54020 cameras / 5546 days = <<54020 / 5546 = 9.75>> 9.75 cameras sold daily

    ### Answer: 9.75

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:

    Okay, let's break this down step-by-step:
    * The ice cream factory made 25774 liters of ice cream
    * The ice cream was packed into 526 containers evenly

    To find how many liters of ice cream each container accommodates, we need to divide the total liters of ice cream by the number of containers.

    25774 liters of ice cream / 526 containers = <<25774/526=49>>49 liters of ice cream per container

    ### 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:

    Okay, let's solve this step-by-step:
    * The ice cream factory made 25774 liters of ice cream
    * Originally, they packed the ice cream into 526 containers evenly
    * Now, they want to use only 418 containers

    To find how many liters of ice cream each container will accommodate with the new 418 containers, we need to divide the total liters of ice cream by the new number of containers.

    25774 liters of ice cream / 418 containers = <<25774/418=61.7>>61.7 liters of ice cream per container

    ### Answer: 61.7

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:

    Okay, let's break this down step-by-step:
    * The city's public transportation system logs a total of 85300 miles driven among its fleet of 3412 buses in a week.
    * We need to find how many miles each bus drives in a week.
    * To do this, we need to divide the total miles driven (85300) by the number of buses (3412).

    Calculation:
    * Total miles driven / Number of buses = Miles driven per bus
    * 85300 / 3412 = <<85300 / 3412 = 25>>25 miles per bus

    ### Answer: 25

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:

    Okay, let's break this down step-by-step:
    * The city's public transportation system logs a total of 3940 miles driven among its fleet of 3412 buses in the next week.
    * We need to find how many miles each bus drives in this week.
    * To do this, we need to divide the total miles driven (3940) by the number of buses (3412).

    Calculation:
    * Total miles driven / Number of buses = Miles driven per bus
    * 3940 / 3412 = <<3940 / 3412 = 1.15>>1.15 miles per bus

    ### Answer: 1.15

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:

    Reasoning:
    * The wind turbine generates a total of 92250 kilowatts of energy over 75 hours.
    * To find the energy produced per hour, we need to divide the total energy by the number of hours.
    * 92250 kilowatts / 75 hours = 1230 kilowatts per hour.

    ### Answer: 1230 kilowatts 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:

    Reasoning:
    * The wind turbine generates a total of 5837 kilowatts of energy over 75 hours.
    * To find the energy produced per hour, we need to divide the total energy by the number of hours.
    * 5837 kilowatts / 75 hours = 77.8 kilowatts per hour.

    ### Answer: 77.8 kilowatts 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:

    Reasoning:
    * The baby gained a total of 3734 grams over 1867 days.
    * To find the average grams gained per day, we divide the total grams gained by the number of days:
    * 3734 grams / 1867 days = <<3734 / 1867 = 2>> 2 grams per day on average.

    ### Answer: 2 grams

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:

    Okay, let's solve this step-by-step:
    * The baby gained a total of 3734 grams over 1651 days.
    * To find the average grams gained per day, we divide the total grams gained by the number of days:
    * 3734 grams / 1651 days = <<3734 / 1651 = 2.26>> 2.26 grams per day on average.

    ### Answer: 2.26 grams

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:

    Okay, let's break this down step-by-step:
    * The firefighter uses a hose that releases 33,532 liters of water in total.
    * The hose releases the same amount of water each minute for 8,383 minutes.
    * To find the amount of water released per minute, we need to divide the total amount of water (33,532 liters) by the number of minutes (8,383 minutes).

    Calculation:
    * Total water released: 33,532 liters
    * Number of minutes: 8,383 minutes
    * Water released per minute = 33,532 liters / 8,383 minutes = <<33,532 / 8,383 = 4 liters per minute>>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:

    Okay, let's solve this step-by-step:
    * The firefighter uses a different hose that releases the same total amount of water, 33,532 liters
    * This time, the hose releases the water over 7,845 minutes
    * To find the amount of water released per minute, we need to divide the total amount of water (33,532 liters) by the number of minutes (7,845 minutes)

    Calculation:
    * Total water released: 33,532 liters
    * Number of minutes: 7,845 minutes
    * Water released per minute = 33,532 liters / 7,845 minutes = <<33,532 / 7,845 = 4.27 liters per minute>>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:

    Okay, let's break this down step-by-step:
    * The farmer collects a total of 96,120 eggs
    * The eggs are collected evenly from 20 chickens
    * To find how many eggs each chicken contributes, we need to divide the total number of eggs by the number of chickens

    Calculation:
    * Total eggs collected: 96,120
    * Number of chickens: 20
    * Eggs per chicken = 96,120 / 20 = 4,806

    ### Answer: 4,806

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:

    Okay, let's solve this step-by-step:
    * The farmer collected a total of 96,120 eggs
    * The eggs were collected from 9,046 chickens
    * To find how many eggs each chicken contributed, we need to divide the total number of eggs by the number of chickens

    Calculation:
    * Total eggs collected: 96,120
    * Number of chickens: 9,046
    * Eggs per chicken = 96,120 / 9,046 = 10.6

    ### Answer: 10.6

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:

    Okay, let's break this down step-by-step:
    * The town receives 11458 millimeters of rain over 17 days
    * We need to find how much rain the town receives each day if it rains the same amount every day

    To calculate the amount of rain per day, we divide the total amount of rain by the number of days:
    * 11458 millimeters / 17 days = <<11458/17=674>>674 millimeters per day

    ### Answer: 674 millimeters

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:

    Okay, let's break this down step-by-step:
    * The town receives 11458 millimeters of rain over 8513 days
    * We need to find how much rain the town receives each day if it rains the same amount every day

    To calculate the amount of rain per day, we divide the total amount of rain by the number of days:
    * 11458 millimeters / 8513 days = <<11458/8513=1.346>>1.346 millimeters per day

    ### Answer: 1.346 millimeters

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:

    Okay, let's break this down step-by-step:
    * The pen factory produced 2526 pens in 842 hours
    * We need to find how many pens were produced every hour
    * To do this, we need to divide the total number of pens produced by the total number of hours
    * 2526 pens / 842 hours = <<2526/842=3>> 3 pens per hour

    ### Answer: 3

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:

    Okay, let's solve this step-by-step:
    * The pen factory produced 2526 pens in 547 hours
    * We need to find how many pens were produced every hour
    * To do this, we need to divide the total number of pens produced by the total number of hours
    * 2526 pens / 547 hours = <<2526/547=4.62>> 4.62 pens per hour

    ### Answer: 4.62

Expected answer: 2526/547

Correct? No

🔗 Problem

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

Gemma 2B:

    Okay, let's solve this step-by-step:
    1) We have 285 erasers to be distributed among 19 classrooms.
    2) To find how many erasers each classroom gets, we need to divide the total number of erasers by the number of classrooms.
    3) 285 ÷ 19 = 15
    Therefore, each classroom gets 15 erasers.

    ### 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:

    Okay, let's solve this step-by-step:
    1) Initially, the school had 285 erasers to be distributed among 19 classrooms.
       - Each classroom got 285 ÷ 19 = 15 erasers.
    2) The school then received a donation, and the total number of erasers increased to 4681.
    3) To find how many erasers each classroom gets now, we need to divide the new total number of erasers (4681) by the number of classrooms (19).
    4) 4681 ÷ 19 = 246.37
    Since we can't have a fractional number of erasers, we need to round down to the nearest whole number.
    5) Therefore, each classroom now gets 246 erasers.

    ### 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:

    Okay, let's solve this step-by-step:
    * The penguin slides down a glacier at a constant speed
    * The distance covered is 41020 feet
    * The time taken is 5 hours

    To find the speed, we need to divide the distance by the time:
    * Speed = Distance / Time
    * Speed = 41020 feet / 5 hours
    * Speed = 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:

    Okay, let's solve this step-by-step:
    * The penguin slides down a glacier at a constant speed
    * The distance covered is 4325 feet
    * The time taken is 5 hours

    To find the speed, we need to divide the distance by the time:
    * Speed = Distance / Time
    * Speed = 4325 feet / 5 hours
    * Speed = 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:

    Okay, let's break this down step-by-step:
    1) The reservoir can hold 63360 gallons of water.
    2) The reservoir is divided into 576 equal sections.
    3) To find how many gallons of water each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (576).
    4) 63360 gallons / 576 sections = <<63360/576=110>>110 gallons per section.

    ### 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:

    Okay, let's solve this step-by-step:
    1) The reservoir can hold 63360 gallons of water.
    2) The reservoir is now divided into 9999 equal sections.
    3) To find how many gallons of water each section holds, we need to divide the total capacity of the reservoir (63360 gallons) by the number of sections (9999).
    4) 63360 gallons / 9999 sections = <<63360/9999=6.3360063360063>>6.3360063360063 gallons per section.

    ### Answer: 6.3360063360063

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:

    Okay, let's break this down step-by-step:
    * The fashion company made a total of 21868 skirts
    * These skirts were distributed equally among 77 stores

    To find 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=284.1>>284.1 skirts per store

    Since we can't have a fractional number of skirts, we need to round down to the nearest whole number:
    * 284.1 skirts per store rounds down to <<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:

    Okay, let's break this down step-by-step:
    * The TV channel broadcasts a total of 56109 minutes of advertisements
    * This is over a 59-day period
    * To find the average minutes of advertisements shown each day, we need to divide the total minutes by the number of days

    Calculation:
    * Total minutes of advertisements: 56109
    * Number of days: 59
    * Average minutes per day = 56109 / 59 = <<56109/59=951>>951 minutes

    ### Answer: 951

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:

    Okay, let's solve this step-by-step:
    * The TV channel now broadcasts a total of 5352 minutes of advertisements
    * This is still over a 59-day period
    * To find the new average minutes of advertisements shown each day, we need to divide the new total minutes by the number of days

    Calculation:
    * New total minutes of advertisements: 5352
    * Number of days: 59
    * New average minutes per day = 5352 / 59 = <<5352/59=90.7>>90.7 minutes

    ### Answer: 90.7

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:

    Okay, let's break this down step-by-step:
    * The teacher marked a total of 59748 marks
    * These marks were distributed evenly over 1149 exam papers
    * To find the number of marks in each exam paper, we need to divide the total marks by the number of exam papers

    Calculation:
    * Total marks: 59748
    * Number of exam papers: 1149
    * Marks per exam paper = 59748 / 1149 = <<59748/1149=52>>52

    ### 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:

    Okay, let's solve this step-by-step:
    * The teacher marked a total of 7117 marks
    * These marks were distributed evenly over 1149 exam papers
    * To find the number of marks in each exam paper, we need to divide the total marks by the number of exam papers

    Calculation:
    * Total marks: 7117
    * Number of exam papers: 1149
    * Marks per exam paper = 7117 / 1149 = <<7117/1149=6.2>>6.2

    ### Answer: 6.2

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:

    Okay, let's break this down step-by-step:
    * The reservoir holds 44840 liters of water
    * The water is equally distributed across 76 houses in the village
    * To find how many liters of water each house will get, we need to divide the total amount of water by the number of houses

    Calculation:
    * Total water in the reservoir: 44840 liters
    * Number of houses: 76
    * Liters of water per house = 44840 / 76 = <<44840 / 76 = 590>>590 liters

    ### Answer: 590 liters

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:

    Okay, let's solve this step-by-step:
    * The reservoir holds 44840 liters of water
    * The water needs to be distributed across 6614 houses
    * To find the amount of water per house, we divide the total water by the number of houses

    Calculation:
    * Total water in the reservoir: 44840 liters
    * Number of houses: 6614
    * Liters of water per house = 44840 / 6614 = <<44840 / 6614 = 6.78>>6.78 liters

    ### Answer: 6.78 liters

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:

    Okay, let's break this down step-by-step:
    * The butterfly laid 5385 eggs in total
    * The eggs were spread evenly across 359 flowers
    * To find the number of eggs on each flower, we need to divide the total number of eggs by the number of flowers

    Calculation:
    * Total eggs: 5385
    * Number of flowers: 359
    * Eggs per flower = 5385 / 359 = <<5385/359=15>>15

    ### 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:

    Okay, let's solve this step-by-step:
    * The butterfly laid 9710 eggs in total
    * The eggs were spread evenly across 359 flowers
    * To find the number of eggs on each flower, we need to divide the total number of eggs by the number of flowers

    Calculation:
    * Total eggs: 9710
    * Number of flowers: 359
    * Eggs per flower = 9710 / 359 = <<9710/359=27>>27

    ### 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:

    Okay, let's break this down step-by-step:
    * The camera has a total of 95038 pixels
    * The pixels are divided evenly into 61 rows

    To find the number of pixels in each row, we need to divide the total number of pixels by the number of rows:
    * 95038 pixels / 61 rows = 1557.33 pixels per row

    Since the question states the pixels are divided evenly, we need to round this down to the nearest whole number:
    * 1557 pixels per row

    ### Answer: 1557

Expected answer: 1558

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:

    Okay, let's break this down step-by-step:
    * The ice cream factory produces a total of 45,580 cones of ice cream over a period of 53 days.
    * The ice cream cones are produced uniformly across these days.

    To find the number of ice cream cones made each day, we need to divide the total number of cones by the number of days:
    * 45,580 cones / 53 days = 860 cones per day

    ### Answer: 860

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:

    Okay, let's solve this step-by-step:
    * The ice cream factory now produces a total of 4,660 cones of ice cream over a period of 53 days.
    * The ice cream cones are still produced uniformly across these days.

    To find the number of ice cream cones made each day, we need to divide the total number of cones by the number of days:
    * 4,660 cones / 53 days = 88 cones per day

    ### Answer: 88

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:

    Okay, let's break this down step-by-step:
    * The textile factory produces 36135 square inches of towel fabric
    * This fabric is divided evenly among 219 towels

    To find the amount of fabric per towel, we need to divide the total fabric by the number of towels:
    * 36135 square inches of fabric / 219 towels = <<36135/219=165>>165 square inches of fabric 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:
    * The fireplace burns 36300 kilojoules of energy in 4 hours.
    * To find the energy burned in one hour, we need to divide the total energy by the number of hours.
    * 36300 kilojoules / 4 hours = 9075 kilojoules per hour.

    ### Answer: 9075 kilojoules

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:

    Okay, let's solve this step-by-step:
    * The fireplace burns 8712 kilojoules of energy in 4 hours.
    * We need to find the energy burned in one hour.
    * To do this, we divide the total energy by the number of hours:
    * 8712 kilojoules / 4 hours = 2178 kilojoules per hour.

    ### Answer: 2178 kilojoules

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:

    Okay, let's break this down step-by-step:
    * There are 9 teams in the snowman-making competition
    * The total amount of snow provided is 51156 kilograms
    * We need to find how much snow each team got to make their snowman

    To calculate the amount of snow each team got, we need to divide the total amount of snow by the number of teams:
    * 51156 kilograms / 9 teams = 5684 kilograms per team

    Therefore, each team got 5684 kilograms of snow to make their snowman.

    ### Answer: 5684 kilograms

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:

    Okay, let's solve this step-by-step:
    * There are 9 teams in the snowman-making competition
    * The total amount of snow provided is 6407 kilograms
    * We need to find how much snow each team got to make their snowman

    To calculate the amount of snow each team got, we need to divide the total amount of snow by the number of teams:
    * 6407 kilograms / 9 teams = 712 kilograms per team

    Therefore, each team would get 712 kilograms of snow to make their snowman.

    ### Answer: 712 kilograms

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:
    * The apple orchard yielded a total of 56250 apples.
    * The apples were harvested over the course of 30 days.
    * The same number of apples were harvested each day.

    To find the number of apples harvested each day, we need to divide the total number of apples by the number of days.

    Number of apples harvested each day = Total number of apples / Number of days
    Number of apples harvested each day = 56250 / 30
    Number of apples harvested each day = 1875

    ### 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:

    Okay, let's solve this problem with the new information.

    Reasoning:
    * The apple orchard yielded a total of 56250 apples.
    * The apples were harvested over the course of 3028 days.
    * The same number of apples were harvested each day.

    To find the number of apples harvested each day, we need to divide the total number of apples by the number of days.

    Number of apples harvested each day = Total number of apples / Number of days
    Number of apples harvested each day = 56250 / 3028
    Number of apples harvested each day = 18.58

    Since we can't have a fractional number of apples harvested each day, we need to round down to the nearest whole number.

    ### 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:

    Okay, let's break this down step-by-step:
    * The baby spoke her first word after 82992 seconds of being awake in her life.
    * One day is considered 1729 seconds.

    To find out how many days it took for the baby to speak her first word, we need to divide the total seconds by the number of seconds in a day.

    * 82992 seconds / 1729 seconds per day = 48 days

    Therefore, the baby spoke her first word after 48 days.

    ### Answer: 48

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:

    Okay, let's solve this step-by-step:
    * The baby spoke her first word after 8741 seconds of being awake.
    * One day is considered 1729 seconds.

    To find out how many days it took for the baby to speak her first word, we need to divide the total seconds by the number of seconds in a day.

    * 8741 seconds / 1729 seconds per day = 5.05 days

    Since we can't have a fractional number of days, we need to round up to the nearest whole number.

    * 5.05 days rounds up to 6 days

    Therefore, the baby spoke her first word after 6 days.

    ### Answer: 6

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:

    Okay, let's solve this step-by-step:
    * The map scale is 91368 centimeters representing 216 kilometers
    * We want to find how many centimeters on the map represent 1 kilometer in real life
    * To do this, we can set up a proportion:
    * 91368 cm / 216 km = x cm / 1 km
    * Cross-multiplying, we get:
    * 91368 = 216x
    * Solving for x, we get:
    * x = 91368 / 216
    * x = 422.5 cm/km

    ### Answer: 422.5 cm

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:

    Okay, let's break this down step-by-step:
    * The fashion designer has 33536 beads to use
    * The beads will be used to embellish a dress across 131 different sections
    * We need to find how many beads will be used for each section

    To calculate the number of beads per 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

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:

    Okay, let's solve this step-by-step:
    * The fashion designer has 33536 beads to use
    * The beads will now be distributed over 3206 different sections on the dress
    * We need to find how many beads will be in each section

    To calculate the number of beads per section, we need to divide the total number of beads by the number of sections:
    * 33536 beads / 3206 sections = <<33536/3206=10.45>>10.45 beads per section

    Since we can't have a fractional number of beads per section, we need to round down to the nearest whole number:
    * 10.45 beads per section rounds down to <<10>> beads per section

    ### Answer: 10

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:

    Okay, let's break this down step-by-step:
    * The firefighter sprayed 69966 gallons of water in 299 minutes
    * We need to find how many gallons the firefighter sprayed each minute

    To do this, we need to divide the total gallons of water by the total minutes:
    * 69966 gallons / 299 minutes = 234 gallons per minute

    ### Answer: 234 gallons

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:

    Okay, let's break this down step-by-step:
    * The firefighter sprayed 69966 gallons of water in 299 minutes initially
    * This means the firefighter sprayed 234 gallons per minute (69966 gallons / 299 minutes)
    * After the fire was controlled, the firefighter sprayed 8749 gallons of water over the next 299 minutes
    * To find how many gallons the firefighter sprayed each minute during the cooling down period, we divide the total gallons by the total minutes:
    * 8749 gallons / 299 minutes = 29.25 gallons per minute

    ### Answer: 29.25 gallons

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:

    Okay, let's break this down step-by-step:
    * The latest model of window requires 6354 square inches of glass material
    * The manufacturer's current stock can cover 2118 same-sized windows

    To find the amount of glass required for a single window, we need to divide the total glass required by the number of windows that can be covered.

    Total glass required: 6354 square inches
    Number of windows that can be covered: 2118

    Glass required per window = 6354 square inches / 2118 windows
    = 3 square inches per 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:

    Okay, let's break this down step-by-step:
    * The company needs 6354 square inches of glass material to produce 6122 of the new model of windows

    To find the amount of glass required for each new model window, we need to divide the total glass required by the number of windows.

    Total glass required: 6354 square inches
    Number of windows: 6122

    Glass required per window = 6354 square inches / 6122 windows
    = 1.04 square inches per window

    ### 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:

    Okay, let's break this down step-by-step:
    * The frog jumps a total of 12288 centimeters in 512 jumps.
    * The frog jumps the same distance each time.

    To find the distance the frog jumps per jump, we need to divide the total distance by the number of jumps.

    Total distance = 12288 centimeters
    Number of jumps = 512

    Distance per jump = Total distance / Number of jumps
    Distance per jump = 12288 cm / 512 jumps
    Distance per jump = <<12288 / 512 = 24>> 24 centimeters

    ### Answer: 24 centimeters

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:

    Okay, let's break this down step-by-step:
    * The frog now jumps a total of 9064 centimeters in 512 jumps.
    * The frog jumps the same distance each time.

    To find the distance the frog jumps per jump, we need to divide the total distance by the number of jumps.

    Total distance = 9064 centimeters
    Number of jumps = 512

    Distance per jump = Total distance / Number of jumps
    Distance per jump = 9064 cm / 512 jumps
    Distance per jump = <<9064 / 512 = 17.75>> 17.75 centimeters

    ### Answer: 17.75 centimeters

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:

    Okay, let's solve this step-by-step:
    * The gardener planted a total of 1392 flowers
    * The flowers were planted evenly into 116 pots
    * To find the number of flowers in each pot, we need to divide the total number of flowers by the number of pots

    Calculation:
    * 1392 flowers / 116 pots = <<1392/116=12>>12 flowers per 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:

    Okay, let's solve this step-by-step:
    * The gardener planted a total of 7275 flowers
    * The flowers were planted evenly into 116 pots
    * To find the number of flowers in each pot, we need to divide the total number of flowers by the number of pots

    Calculation:
    * 7275 flowers / 116 pots = <<7275/116=62.71>>62.71 flowers per pot

    Since we can't have a fractional number of flowers in each pot, we need to round down to the nearest whole number.

    ### 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:

    Okay, let's break this down step-by-step:
    * The ice cream shop sold a total of 31,176 scoops of ice cream over 9 weeks.
    * To find the number of scoops sold each week, we need to divide the total number of scoops by the number of weeks.
    * 31,176 scoops / 9 weeks = <<31,176 / 9 = 3,464>> 3,464 scoops per week.

    ### 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:

    Okay, let's solve this step-by-step:
    * The ice cream shop sold a total of 31,176 scoops of ice cream over 4,035 days.
    * To find the number of scoops sold each day, we need to divide the total number of scoops by the number of days.
    * 31,176 scoops / 4,035 days = <<31,176 / 4,035 = 7.72>> 7.72 scoops per day.

    ### Answer: 7.72

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:

    Okay, let's solve this step-by-step:
    * The mouse runs 14824 meters in 4 hours
    * To find the rate (meters per hour), we need to divide the total distance by the total time
    * 14824 meters / 4 hours = <<14824 / 4 = 3706>> 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:

    Okay, let's solve this step-by-step:
    1) We have 88,508 bananas to be split evenly among 406 monkeys.
    2) To find how many bananas each monkey would get, we need to divide the total number of bananas by the number of monkeys.
    3) 88,508 ÷ 406 = <<88,508 ÷ 406 = 218>>218 bananas per monkey.

    ### Answer: 218

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:

    Okay, let's solve this step-by-step:
    1) We have 9,073 bananas to be split evenly among 406 monkeys.
    2) To find how many bananas each monkey would get, we need to divide the total number of bananas by the number of monkeys.
    3) 9,073 ÷ 406 = <<9,073 ÷ 406 = 22.36>> 22.36 bananas per monkey.

    Since we can't have a fraction of a banana, we need to round down to the nearest whole number.

    ### Answer: 22 bananas per monkey.

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:
    * The furniture maker has an order for 15110 table legs
    * The assumption is that each table will have 2 legs
    * To find the number of tables, we need to divide the total number of table legs by the number of legs per table

    Number of tables = Total number of table legs / Number of legs per table
    Number of tables = 15110 / 2
    Number of tables = 7555

    ### Answer: 7555

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:

    Okay, let's solve this step-by-step:

    Reasoning:
    * The initial order was for 15110 table legs, with each table having 2 legs
    * This would have meant the initial order was for 15110 / 2 = 7555 tables
    * However, the hotel owner actually only wanted 3774 table legs, with each table having 2 legs
    * To find the number of tables in the corrected order, we divide the total number of table legs by the number of legs per table:
    * Number of tables = 3774 / 2 = 1887 tables

    ### Answer: 1887

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:

    Okay, let's solve this step-by-step:
    1) The hat maker has 3560 feathers.
    2) Each hat will have 890 feathers.
    3) To find the number of hats that can be made, we need to divide the total number of feathers by the number of feathers per hat.
    4) 3560 feathers / 890 feathers per hat = <<3560/890=4>>4 hats.

    ### Answer: 4

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:

    Okay, let's solve this step-by-step:
    1) The hat maker has 1416 feathers.
    2) Each hat will have 890 feathers.
    3) To find the number of hats that can be made, we need to divide the total number of feathers by the number of feathers per hat.
    4) 1416 feathers / 890 feathers per hat = <<1416/890=1.59>>1.59 hats.
    5) Since we can't make a fraction of a hat, we need to round down to the nearest whole number.
    6) Therefore, the hat maker can produce <<1>> hat.

    ### Answer: 1

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:

    Okay, let's break this down step-by-step:
    * The total number of points distributed in the card game is 17394
    * The points are distributed equally over 3 players

    To find the number of points each player has, we need to divide the total points by the number of players.

    17394 total points / 3 players = <<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:

    Okay, let's solve this step-by-step:
    * The total number of points distributed in the card game is 17394
    * The points are distributed evenly among 7489 players

    To find the number of points each player has, we need to divide the total points by the number of players.

    17394 total points / 7489 players = <<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:

    Okay, let's break this down step-by-step:
    * The central park covers a total land area of 3276 acres
    * This land area is divided into 126 identical sections
    * We need to find the number of acres in each section

    To calculate the number of acres in each section, we need to divide the total land area by the number of sections:
    * Total land area: 3276 acres
    * Number of sections: 126
    * Acres per section = 3276 acres / 126 sections = <<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:

    Okay, let's work this out step-by-step:
    * The original park covered 3276 acres and was divided into 126 identical sections
    * So each section originally covered 3276 acres / 126 sections = 26 acres per section
    * Now, the park is smaller, covering only 139 acres, but the number of sections remains the same (126)
    * To find the new acreage per section, we divide the total park area (139 acres) by the number of sections (126)
    * 139 acres / 126 sections = <<139 / 126 = 1.1>> 1.1 acres per section

    ### 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:

    Okay, let's break this down step-by-step:
    1) The manufacturer has 54736 yards of fabric.
    2) They plan to make 11 pairs of pants.
    3) Each pair of pants will use the same amount of fabric.
    4) To find the amount of fabric needed for each pair, we need to divide the total fabric by the number of pairs.
    5) 54736 yards of fabric / 11 pairs = 4976 yards of fabric per pair.

    ### Answer: 4976

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:

    Okay, let's work this out step-by-step:
    1) The manufacturer now has 4769 yards of fabric left.
    2) They still plan to make 11 pairs of pants.
    3) Each pair will still consume an equal portion of the total fabric.
    4) To find the amount of fabric needed for each pair, we need to divide the total fabric by the number of pairs.
    5) 4769 yards of fabric / 11 pairs = 433.55 yards of fabric per pair.

    ### Answer: 433.55

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:

    Okay, let's break this down step-by-step:
    * The minute hand of the clock rotates 49716 degrees throughout 18 hours.
    * The rotation is uniform, which means the minute hand rotates the same number of degrees each hour.
    * To find the number of degrees the minute hand rotates each hour, we need to divide the total degrees rotated (49716) by the number of hours (18).

    Calculation:
    * 49716 degrees / 18 hours = 2762 degrees per hour

    ### Answer: 2762 degrees

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:

    Okay, let's recalculate this with the correct information:
    * The minute hand of the clock rotates 49716 degrees throughout 9706 hours.
    * To find the number of degrees the minute hand rotates each hour, we need to divide the total degrees rotated (49716) by the number of hours (9706).

    Calculation:
    * 49716 degrees / 9706 hours = 5.12 degrees per hour

    ### Answer: 5.12 degrees

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:

    Okay, let's break this down step-by-step:
    * The toy company has made 1865 stuffed animals
    * These 1865 stuffed animals are spread over 373 different designs
    * Each design has the same number of stuffed animals

    To find the number of stuffed animals for each design, we need to divide the total number of stuffed animals by the number of designs.

    1865 stuffed animals / 373 designs = <<1865/373=5>>5 stuffed animals per 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:

    Okay, let's work through this step-by-step:
    * The toy company made 2542 stuffed animals
    * These 2542 stuffed animals are spread over 373 different designs
    * Each design has the same number of stuffed animals

    To find the number of stuffed animals for each design, we need to divide the total number of stuffed animals by the number of designs.

    2542 stuffed animals / 373 designs = <<2542/373=6.82>>6.82 stuffed animals per design

    Since we can't have a fractional number of stuffed animals per design, we need to round down to the nearest whole number.

    ### 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:

    Okay, let's break this down step-by-step:
    * The bear travels a total of 31470 feet in 30 days
    * We need to find how many feet the bear travels each day
    * To do this, we divide the total distance by the number of days
    * 31470 feet / 30 days = 1049 feet per day

    ### Answer: 1049

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:

    Okay, let's work this out:
    * The bear travels a total of 31470 feet
    * This time it is over 1406 days
    * We need to find how many feet the bear travels each day
    * To do this, we divide the total distance by the number of days
    * 31470 feet / 1406 days = 22.4 feet per day

    ### Answer: 22.4

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:

    Okay, let's solve this step-by-step:
    1) The pen manufacturer produced 9636 pen units.
    2) The pen units were distributed equally among 44 retailers.
    3) To find the number of pen units each retailer received, we need to divide the total number of pen units by the number of retailers.
    4) 9636 pen units / 44 retailers = <<9636/44=219>>219 pen units per retailer.

    ### Answer: 219

Expected answer: 219

Correct? Yes