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?

Claude-3 Sonnet:

To solve this problem, we need to find the time it takes to fill the beach ball with the given volume and rate.

Given information:
- The volume of air needed to inflate the beach ball is 73841 cubic centimeters.
- The rate of filling the beach ball is 41 cubic centimeters per second.

To find the time, we need to divide the total volume by the rate.

Time = Total volume / Rate
Time = 73841 cubic centimeters / 41 cubic centimeters per second
Time = 1801 seconds

Therefore, it will take 1801 seconds to fully inflate the beach ball.

### Answer: 1801

Expected answer: 1801

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total amount of juice produced by the number of containers.

Given information:
- The juice company produced 73528 liters of juice.
- The juice was filled into 707 containers.

Step 1: Divide the total amount of juice by the number of containers.
Amount of juice in each container = Total amount of juice / Number of containers
Amount of juice in each container = 73528 liters / 707 containers

Step 2: Calculate the amount of juice in each container.
Amount of juice in each container = 73528 liters / 707 containers
Amount of juice in each container = 104 liters

Therefore, there are 104 liters of juice in each container.

### Answer: 104

Expected answer: 104

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pants each store received by dividing the total number of pants produced by the number of stores.

Given information:
- The pants factory produced a total of 87,780 pants.
- The pants were equally distributed to 110 wholesale clothing stores.

Step 1: Divide the total number of pants by the number of stores.
Number of pants per store = Total number of pants / Number of stores
Number of pants per store = 87,780 / 110
Number of pants per store = 798

Therefore, each store received 798 pants.

### Answer: 798

Expected answer: 798

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of carrots by the number of carrots in each bundle.

Given information:
- Farmer Bob has grown 71820 carrots.
- Each bundle will consist of 684 carrots.

Step 1: Divide the total number of carrots by the number of carrots in each bundle.
Number of bundles = Total number of carrots / Number of carrots in each bundle
Number of bundles = 71820 / 684

Step 2: Calculate the result.
Number of bundles = 71820 / 684
Number of bundles = 105

Therefore, Farmer Bob will have 105 bundles of carrots.

### Answer: 105

Expected answer: 105

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the constant usage rate of the slide per day.

Given information:
- The slide has been used 85860 times over 54 consecutive days.
- The usage rate is constant.

To find the usage rate per day, we need to divide the total number of times the slide has been used by the number of days.

Usage rate per day = Total number of times the slide has been used / Number of days
Usage rate per day = 85860 / 54
Usage rate per day = 1590

Therefore, the slide has been used 1590 times per day.

### Answer: 1590

Expected answer: 1590

Correct? Yes

Problem: A ski resort receives a total of 31950 inches of snowfall evenly spread throughout 225 days of winter. How many inches of snow does the ski resort receive each day?

Claude-3 Sonnet:

To solve this problem, we need to find the average amount of snowfall per day by dividing the total snowfall by the number of days.

Given information:
- Total snowfall during the winter season = 31950 inches
- Number of days in the winter season = 225 days

Step 1: Divide the total snowfall by the number of days.
Average snowfall per day = Total snowfall / Number of days
Average snowfall per day = 31950 inches / 225 days
Average snowfall per day = 142 inches

Therefore, the ski resort receives an average of 142 inches of snow each day during the winter season.

### Answer: 142

Expected answer: 142

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of gold that will be used for making the 38 rings, and then divide it by the number of rings to find the weight of each ring.

Given information:
- The jewelry manufacturer has 63802 grams of gold.
- They plan to make 38 rings.
- Each ring will weigh the same amount.

Step 1: Assume that all the gold will be used to make the 38 rings.
Total weight of gold = 63802 grams

Step 2: Find the weight of each ring by dividing the total weight of gold by the number of rings.
Weight of each ring = Total weight of gold / Number of rings
Weight of each ring = 63802 grams / 38 rings
Weight of each ring = 1678.47 grams

Therefore, each ring will weigh approximately 1678.47 grams.

### Answer: 1678.47

Expected answer: 1679

Correct? No

Problem: A goldsmith has a total of 60544 milligrams of gold. If each ring the goldsmith makes requires exactly 5504 milligrams of gold, how many full rings can the goldsmith make?

Claude-3 Sonnet:

To solve this problem, we need to find how many times 5504 milligrams of gold can be taken from the total amount of 60544 milligrams of gold.

Given information:
- The goldsmith has a total of 60544 milligrams of gold.
- Each ring requires 5504 milligrams of gold.

Step 1: Divide the total amount of gold by the amount of gold required for one ring.
Number of full rings = Total amount of gold / Amount of gold required for one ring
Number of full rings = 60544 milligrams / 5504 milligrams
Number of full rings = 11

Therefore, the goldsmith can make 11 full rings with the available amount of gold.

### Answer: 11

Expected answer: 11

Correct? Yes

Problem: In a zoo, there are 10489 animals, and they are evenly distributed in 617 cages. What is the average number of animals in each cage?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of animals by the number of cages.

Given information:
- There are 10489 animals in the zoo.
- The animals are evenly distributed in 617 cages.

Step 1: Divide the total number of animals by the number of cages.
Average number of animals per cage = Total number of animals / Number of cages
Average number of animals per cage = 10489 / 617
Average number of animals per cage = 17

Therefore, the average number of animals in each cage is 17.

### Answer: 17

Expected answer: 17

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of grams of carrots by the number of bags.

Given information:
- The farmer has 21652 grams of carrots.
- The farmer wants to distribute the carrots evenly into 5413 bags.

Step 1: Divide the total number of grams of carrots by the number of bags.
Number of grams of carrots in each bag = Total number of grams of carrots / Number of bags
Number of grams of carrots in each bag = 21652 grams / 5413 bags
Number of grams of carrots in each bag = 4 grams

Therefore, each bag will contain 4 grams of carrots.

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled in each stage by dividing the total distance by the number of stages.

Given information:
- The total distance traveled by the spaceship is 38745 miles.
- The journey is divided into 5 equal stages.

Step 1: Divide the total distance by the number of stages.
Distance traveled in each stage = Total distance / Number of stages
Distance traveled in each stage = 38745 miles / 5 stages
Distance traveled in each stage = 7749 miles

Therefore, the spaceship travels 7749 miles in each stage of the space mission.

### Answer: 7749

Expected answer: 7749

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total amount of water by the number of bottles to find the amount of water in each bottle.

Given information:
- The factory needs to distribute 84,564 liters of water.
- The water needs to be distributed evenly into 261 bottles.

Step 1: Divide the total amount of water by the number of bottles.
Amount of water in each bottle = Total amount of water / Number of bottles
Amount of water in each bottle = 84,564 liters / 261 bottles
Amount of water in each bottle = 324 liters

Therefore, each bottle will contain 324 liters of water.

### Answer: 324

Expected answer: 324

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of pages in each volume by dividing the total number of pages by the number of volumes.

Given information:
- The book series contains a total of 13467 pages.
- The book series is divided equally among 201 volumes.

Step 1: Divide the total number of pages by the number of volumes.
Number of pages in each volume = Total number of pages / Number of volumes
Number of pages in each volume = 13467 / 201
Number of pages in each volume = 67

Therefore, each volume of the book series would contain 67 pages.

### Answer: 67

Expected answer: 67

Correct? Yes

Problem: A fireplace uses 56888 BTU (British Thermal Units) of energy in 2188 hours when it is working continuously. How many BTU of energy does the fireplace use per hour?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the fireplace uses energy, which is the amount of energy used per hour.

Given information:
- The fireplace uses 56888 BTU of energy in 2188 hours when working continuously.

Step 1: Divide the total energy used by the total number of hours to find the energy used per hour.
Energy used per hour = Total energy used / Total number of hours
Energy used per hour = 56888 BTU / 2188 hours
Energy used per hour = 26 BTU/hour

Therefore, the fireplace uses 26 BTU of energy per hour.

### Answer: 26

Expected answer: 26

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate of snowfall per day by dividing the total snowfall by the number of days.

Given information:
- The total snowfall recorded in 82 days was 36900 inches.

Step 1: Find the rate of snowfall per day.
Rate of snowfall per day = Total snowfall / Number of days
Rate of snowfall per day = 36900 inches / 82 days
Rate of snowfall per day = 450 inches per day

Therefore, if the snow fell at a constant rate every day, the town received 450 inches of snow each day.

### Answer: 450

Expected answer: 450

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total area of the wildlife reserve by the number of giraffes to find the area per giraffe.

Given information:
- The wildlife reserve spans an area of 71292 square kilometers.
- There are 2742 giraffes in the reserve.

Step 1: Divide the total area of the reserve by the number of giraffes.
Area per giraffe = Total area of the reserve / Number of giraffes
Area per giraffe = 71292 square kilometers / 2742 giraffes
Area per giraffe = 26 square kilometers per giraffe

Therefore, if each giraffe has an equal amount of space, each giraffe gets 26 square kilometers.

### Answer: 26

Expected answer: 26

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the average number of lions saved per year by dividing the total number of lions saved by the number of years.

Given information:
- The lion conservation project has successfully protected 96187 lions.
- The project has been running for 13 years.

Step 1: Divide the total number of lions saved by the number of years.
Average number of lions saved per year = Total number of lions saved / Number of years
Average number of lions saved per year = 96187 / 13

Step 2: Calculate the result.
Average number of lions saved per year = 96187 / 13
Average number of lions saved per year = 7399.76923...

Since we cannot have a fractional number of lions, we need to round down to the nearest whole number.

Average number of lions saved per year = 7399

### Answer: 7399

Expected answer: 7399

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of pearls by the number of mermaid friends.

Given information:
- The mermaid has found a total of 32,812 pearls.
- The mermaid wants to divide the pearls evenly among her 631 mermaid friends.

Step 1: Divide the total number of pearls by the number of mermaid friends.
Number of pearls each friend will receive = Total number of pearls / Number of mermaid friends
Number of pearls each friend will receive = 32,812 / 631
Number of pearls each friend will receive = 52

Therefore, each mermaid friend will receive 52 pearls.

### Answer: 52

Expected answer: 52

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of apples produced per week by dividing the total number of apples produced during the growing season by the number of weeks in the growing season.

Given information:
- The farm produces a total of 36,784 apples during the growing season.
- The growing season lasts for 19 weeks.

Step 1: Divide the total number of apples produced by the number of weeks in the growing season.
Number of apples produced per week = Total number of apples produced / Number of weeks in the growing season
Number of apples produced per week = 36,784 / 19

Step 2: Calculate the result.
Number of apples produced per week = 36,784 / 19
Number of apples produced per week = 1,936

Therefore, the farm produces 1,936 apples per week during the growing season.

### Answer: 1936

Expected answer: 1936

Correct? Yes

Problem: A train travels 63245 miles over a period of 695 days. If the train travels the same distance each day, how many miles does it cover in a day?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the train travels in a day by dividing the total distance traveled by the number of days.

Given information:
- The train travels 63245 miles over a period of 695 days.

Step 1: Divide the total distance traveled by the number of days.
Distance traveled per day = Total distance traveled / Number of days
Distance traveled per day = 63245 miles / 695 days
Distance traveled per day = 91 miles

Therefore, the train covers 91 miles in a day.

### Answer: 91

Expected answer: 91

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the daily production rate of dolls by dividing the total number of dolls produced by the number of days.

Given information:
- The doll factory produced a total of 41,772 dolls.
- The production period was 708 days.

Step 1: Divide the total number of dolls produced by the number of days.
Daily production rate = Total number of dolls produced / Number of days
Daily production rate = 41,772 dolls / 708 days
Daily production rate = 59 dolls per day

Therefore, if the factory kept up with the same daily production rate, they were making 59 dolls in a day.

### Answer: 59

Expected answer: 59

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of times the drummer needs to hit the drum each day to reach his goal of 61019 hits in 7 days.

Given information:
- The drummer's goal is to hit the drum 61019 times.
- The drummer plans to achieve this goal over the course of 7 days.

Step 1: Find the total number of hits the drummer needs to make each day.
Total number of hits / Number of days = Number of hits per day
61019 hits / 7 days = Number of hits per day

Step 2: Calculate the number of hits per day.
61019 hits / 7 days = 8717 hits per day

Therefore, the drummer needs to hit the drum 8717 times each day to meet his goal of 61019 hits in 7 days.

### Answer: 8717

Expected answer: 8717

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the dolphin swims, which is the distance covered per unit of time.

Given information:
- The dolphin can swim an average of 98816 meters in 128 hours.

Step 1: Find the rate at which the dolphin swims in meters per hour.
Rate = Distance / Time
Rate = 98816 meters / 128 hours
Rate = 772 meters per hour

Therefore, the dolphin can swim 772 meters in an hour.

### Answer: 772

Expected answer: 772

Correct? Yes

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

Claude-3 Sonnet:

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

Given information:
- The song was streamed 71532 times.
- The time period is 1987 days.

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

To calculate 71532 / 1987:
1987 = 1900 + 87
71532 = (71532 / 1900) × 1900 + (71532 % 1900)
71532 = 37.65 × 1900 + 732
71532 = 71535 - 3
71532 = (37 × 1900) + (65 × 1900) + 732
71532 = 70300 + 1235

Therefore, 71532 / 1987 = (70300 + 1235) / 1987
                        = 70300 / 1987 + 1235 / 1987
                        = 35.4 + 0.62
                        = 36.02

### Answer: 36.02

Expected answer: 36

Correct? No

Problem: A compass salesman has 33046 compasses that he wants to distribute evenly among 1066 stores. How many compasses will each store receive if they are divided equally?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of compasses by the number of stores.

Given information:
- The salesman has 33046 compasses.
- The salesman wants to distribute the compasses evenly among 1066 stores.

Step 1: Divide the total number of compasses by the number of stores.
Number of compasses per store = Total number of compasses / Number of stores
Number of compasses per store = 33046 / 1066
Number of compasses per store = 31

Therefore, if the compasses are divided equally, each store will receive 31 compasses.

### Answer: 31

Expected answer: 31

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of carrots yielded by each plot.

Given information:
- A total of 49822 carrots were harvested from 58 similar plots.
- Each plot yielded the same number of carrots.

Step 1: Find the number of carrots yielded by each plot.
Total number of carrots harvested / Number of plots = Number of carrots yielded by each plot
49822 carrots / 58 plots = 858.83 carrots per plot

Since we cannot have a fractional number of carrots, we need to round down to the nearest whole number.

Step 2: Round down the number of carrots yielded by each plot to the nearest whole number.
858.83 carrots per plot ≈ 858 carrots per plot

Therefore, each plot yielded 858 carrots.

### Answer: 858

Expected answer: 859

Correct? No

Problem: There is a cloud which covers 8744 square meters of the sky and exactly the same area is revealed when the cloud dispels. If the revealed area is divided equally over the original area, what is the ratio of the revealed area to the original area?

Claude-3 Sonnet:

To solve this problem, we need to find the ratio of the revealed area to the original area.

Given information:
- The cloud covers an area of 8744 square meters.
- When the cloud dispels, the same area of 8744 square meters is revealed.

Since the revealed area is equal to the original area, the ratio of the revealed area to the original area is 1:1 or 1.

Therefore, the ratio of the revealed area to the original area is 1.

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: A scooter travels a total distance of 97506 meters on a full charge. If the battery life of the scooter is 18 hours on a full charge, how many meters does the scooter travel per hour?

Claude-3 Sonnet:

To solve this problem, we need to divide the total distance traveled by the scooter on a full charge by the battery life in hours.

Given information:
- 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.

Step 1: Divide the total distance traveled by the battery life in hours.
Distance traveled per hour = Total distance traveled / Battery life in hours
Distance traveled per hour = 97506 meters / 18 hours
Distance traveled per hour = 5417 meters per hour

Therefore, the scooter travels 5417 meters per hour.

### Answer: 5417

Expected answer: 5417

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the star emits light energy per hour.

Given information:
- The star emits a total of 94548 units of light energy.
- The period over which the star emits this energy is 7879 hours.

We can set up the following equation:
Total light energy emitted = Rate of light energy emission per hour × Total number of hours

94548 units = Rate of light energy emission per hour × 7879 hours

Dividing both sides by 7879, we get:
Rate of light energy emission per hour = 94548 units / 7879 hours
Rate of light energy emission per hour = 12 units per hour

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

### Answer: 12

Expected answer: 12

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of trees in each section by dividing the total number of trees by the number of sections.

Given information:
- The forest contains a total of 80752 trees.
- The forest is split evenly into 412 sections.

Step 1: Divide the total number of trees by the number of sections.
Number of trees in each section = Total number of trees / Number of sections
Number of trees in each section = 80752 / 412
Number of trees in each section = 196

Therefore, each section of the forest contains 196 trees.

### Answer: 196

Expected answer: 196

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cucumbers harvested per day by dividing the total number of cucumbers harvested by the number of days.

Given information:
- The farm harvested 44280 cucumbers in total.
- The harvesting period was 216 days.

Step 1: Divide the total number of cucumbers by the number of days.
Number of cucumbers harvested per day = Total number of cucumbers / Number of days
Number of cucumbers harvested per day = 44280 / 216
Number of cucumbers harvested per day = 205

Therefore, if the farm harvested an equal amount of cucumbers each day, they harvested 205 cucumbers per day.

### Answer: 205

Expected answer: 205

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cookies in each package by dividing the total number of cookies by the number of packages.

Given information:
- The cookie factory produced a total of 77,545 cookies.
- The cookies were evenly divided into 1,193 packages.

Step 1: Divide the total number of cookies by the number of packages.
Number of cookies in each package = Total number of cookies / Number of packages
Number of cookies in each package = 77,545 / 1,193

Step 2: Calculate the result.
Number of cookies in each package = 77,545 / 1,193
Number of cookies in each package = 65

Therefore, there are 65 cookies in each package.

### Answer: 65

Expected answer: 65

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the star emits light energy per second.

Given information:
- The star emits 51750 units of light energy every 125 seconds.

Step 1: Find the rate of light energy emission per second.
Rate of light energy emission per second = Total light energy emitted / Time taken
Rate of light energy emission per second = 51750 units / 125 seconds
Rate of light energy emission per second = 414 units/second

Therefore, the star emits 414 units of light energy every second.

### Answer: 414

Expected answer: 414

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of candies produced per day by dividing the total number of candies by the number of days.

Given information:
- The candy factory produced 25144 candies in total.
- The candies were produced evenly over 56 days.

Step 1: Divide the total number of candies by the number of days.
Number of candies produced per day = Total number of candies / Number of days
Number of candies produced per day = 25144 / 56
Number of candies produced per day = 449

Therefore, the candy factory made 449 candies each day.

### Answer: 449

Expected answer: 449

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find out how many slices of bread are needed in total and then divide it by the number of slices in each loaf of bread.

Given information:
- The party needs 34240 slices of bread for sandwiches.
- Each loaf of bread contains 10 slices.

Step 1: Find the total number of slices of bread needed.
Total slices of bread needed = 34240 slices

Step 2: Find the number of loaves of bread needed by dividing the total slices by the number of slices in each loaf.
Number of loaves of bread needed = Total slices of bread needed / Number of slices in each loaf
Number of loaves of bread needed = 34240 slices / 10 slices per loaf
Number of loaves of bread needed = 3424 loaves

Therefore, 3424 loaves of bread are needed for the party.

### Answer: 3424

Expected answer: 3424

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of new trees sprouting each day, given the total number of trees sprouted over a certain number of days.

Given information:
- Over 119 days, 20111 trees have sprouted throughout the forest.
- Each day has the same number of new trees sprouting.

To find the number of new trees sprouting each day, we need to divide the total number of trees sprouted by the number of days.

Total number of trees sprouted = 20111
Number of days = 119

Number of new trees sprouting each day = Total number of trees sprouted / Number of days
Number of new trees sprouting each day = 20111 / 119
Number of new trees sprouting each day = 169

Therefore, 169 new trees sprout each day in the forest.

### Answer: 169

Expected answer: 169

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of cans by the number of weeks.

Given information:
- The dog food factory distributed 91,104 cans of dog food.
- The distribution was uniform over 52 weeks.

Step 1: Divide the total number of cans by the number of weeks.
Number of cans distributed per week = Total number of cans / Number of weeks
Number of cans distributed per week = 91,104 / 52
Number of cans distributed per week = 1,752

Therefore, the dog food factory distributed 1,752 cans of dog food per week.

### Answer: 1,752

Expected answer: 1752

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of fabric used for each blanket.

Given information:
- The company has 19944 yards of fabric.
- They can make 18 blankets from the total amount of fabric.

Step 1: Find the total amount of fabric used for all 18 blankets.
Total fabric used for 18 blankets = 19944 yards

Step 2: Find the amount of fabric used for each blanket.
Amount of fabric used for each blanket = Total fabric used for 18 blankets / Number of blankets
Amount of fabric used for each blanket = 19944 yards / 18 blankets
Amount of fabric used for each blanket = 1108 yards

Therefore, the company uses 1108 yards of fabric to produce each blanket.

### Answer: 1108

Expected answer: 1108

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the average number of potatoes produced per plant by dividing the total number of potatoes harvested by the total number of plants.

Given information:
- The farmer harvested a total of 45764 potatoes.
- The farmer has 2692 plants.

Step 1: Divide the total number of potatoes harvested by the total number of plants.
Average number of potatoes per plant = Total number of potatoes harvested / Total number of plants
Average number of potatoes per plant = 45764 / 2692
Average number of potatoes per plant = 17

Therefore, on average, each plant produces 17 potatoes.

### Answer: 17

Expected answer: 17

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the marshmallows are produced per hour.

Given information:
- The factory produced 85560 marshmallows in 713 hours.

Step 1: Find the rate of production per hour.
Rate of production per hour = Total marshmallows produced / Total hours
Rate of production per hour = 85560 marshmallows / 713 hours
Rate of production per hour = 120 marshmallows per hour

Therefore, the factory produces 120 marshmallows every hour.

### Answer: 120

Expected answer: 120

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find how many times the area of one plot can fit into the total area of the farm.

Given information:
- Total area of the farm = 49,928 square meters
- Area of each plot = 6,241 square meters

Step 1: Divide the total area of the farm by the area of one plot.
Number of plots = Total area of the farm / Area of one plot
Number of plots = 49,928 square meters / 6,241 square meters
Number of plots = 8

Therefore, there are 8 plots on the farm.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total amount of flour used by the number of days.

Given information:
- The baker used 62118 grams of flour to make cookies.
- The flour was used over the course of 2142 days.

Step 1: Divide the total amount of flour by the number of days.
Amount of flour used per day = Total amount of flour / Number of days
Amount of flour used per day = 62118 grams / 2142 days
Amount of flour used per day = 29 grams

Therefore, the baker used 29 grams of flour to make cookies each day.

### Answer: 29

Expected answer: 29

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pairs of shoes and then divide the total length of shoelaces by the number of pairs.

Given information:
- The shoemaker has 91100 centimeters of shoelaces.
- The shoelaces are distributed equally among 3644 pairs of shoes.

Step 1: Find the total number of pairs of shoes.
Total number of pairs of shoes = 3644 pairs

Step 2: Divide the total length of shoelaces by the number of pairs to find the length of shoelace for each pair.
Length of shoelace for each pair = Total length of shoelaces / Total number of pairs
Length of shoelace for each pair = 91100 cm / 3644 pairs
Length of shoelace for each pair = 25 cm

Therefore, each pair of shoes gets 25 centimeters of shoelace.

### Answer: 25

Expected answer: 25

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find out how many bushels of apples each bin will contain when the total number of bushels is equally distributed among the 5 bins.

Given information:
- The farmer harvests 505 bushels of apples.
- The apples are to be equally distributed into 5 bins.

Step 1: Divide the total number of bushels by the number of bins.
Number of bushels per bin = Total number of bushels / Number of bins
Number of bushels per bin = 505 bushels / 5 bins
Number of bushels per bin = 101 bushels

Therefore, each bin will contain 101 bushels of apples.

### Answer: 101

Expected answer: 101

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of confetti pieces by the total area in square feet.

Given information:
- Total number of confetti pieces = 65325
- Total area = 5025 square feet

Step 1: Divide the total number of confetti pieces by the total area.
Number of confetti pieces per square foot = Total number of confetti pieces / Total area
Number of confetti pieces per square foot = 65325 / 5025
Number of confetti pieces per square foot = 13

Therefore, there were 13 confetti pieces per square foot at the party.

### Answer: 13

Expected answer: 13

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of crayons by the number of boxes to find the number of crayons in each box.

Given information:
- The crayon factory produced 26691 crayons.
- The crayons are evenly distributed into 123 boxes.

Step 1: Divide the total number of crayons by the number of boxes.
Number of crayons in each box = Total number of crayons / Number of boxes
Number of crayons in each box = 26691 / 123
Number of crayons in each box = 217

Therefore, there are 217 crayons in each box.

### Answer: 217

Expected answer: 217

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of fires extinguished per week by dividing the total number of fires by the number of weeks.

Given information:
- The firefighter unit extinguished a total of 45843 fires.
- The fires were extinguished over the course of 413 weeks.

Step 1: Divide the total number of fires by the number of weeks.
Number of fires extinguished per week = Total number of fires / Number of weeks
Number of fires extinguished per week = 45843 / 413

Step 2: Calculate the result.
Number of fires extinguished per week = 45843 / 413
Number of fires extinguished per week = 111

Therefore, the firefighter unit extinguished 111 fires per week.

### Answer: 111

Expected answer: 111

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the area of each section by dividing the total area of the park by the number of sections.

Given information:
- The park is 57546 square meters large.
- The park is divided into 9591 identical sections.

Step 1: Divide the total area of the park by the number of sections.
Area of each section = Total area of the park / Number of sections
Area of each section = 57546 square meters / 9591 sections

Step 2: Calculate the area of each section.
Area of each section = 57546 square meters / 9591 sections
Area of each section = 6 square meters

Therefore, the area of each section in the park is 6 square meters.

### Answer: 6

Expected answer: 6

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the relationship between the number of boxes of raw materials and the number of toothpaste tubes produced.

Given information:
- The company produced 93822 tubes of toothpaste.
- The company used 4938 boxes of raw materials.

We can assume that the number of toothpaste tubes produced is directly proportional to the number of boxes of raw materials used.

Step 1: Set up the proportion.
Number of toothpaste tubes / Number of boxes of raw materials = Constant

93822 / 4938 = Constant

Step 2: Find the value of the constant.
Constant = 93822 / 4938
Constant = 19

Step 3: Interpret the constant.
The constant value of 19 represents the number of toothpaste tubes generated from one box of raw materials.

Therefore, one box of raw materials can produce 19 toothpaste tubes.

### Answer: 19

Expected answer: 19

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of children using the Jungle gym each day, given the total number of children over the span of 84 days.

Given information:
- The total number of children using the Jungle gym over 84 days is 40740.
- The Jungle gym is used by the same number of children each day.

Step 1: Find the number of children using the Jungle gym each day.
Total number of children over 84 days / Number of days = Number of children per day
40740 / 84 = 485

Therefore, 485 children use the Jungle gym each day.

### Answer: 485

Expected answer: 485

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of snow used for each snowman by dividing the total amount of snow by the number of snowmen.

Given information:
- The total amount of snow used is 39482 cubic centimeters (cc).
- The number of identical snowmen made is 38.

Step 1: Divide the total amount of snow by the number of snowmen.
Amount of snow per snowman = Total amount of snow / Number of snowmen
Amount of snow per snowman = 39482 cc / 38 snowmen

Step 2: Calculate the amount of snow per snowman.
Amount of snow per snowman = 39482 cc / 38 snowmen
Amount of snow per snowman = 1039 cc

Therefore, each snowman in the competition is made using 1039 cubic centimeters of snow.

### Answer: 1039

Expected answer: 1039

Correct? Yes

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.

Claude-3 Sonnet:

To solve this problem, we need to find the area of each smaller square by dividing the total area of the large window by the number of smaller squares.

Given information:
- The large window has an area of 67673 square inches.
- The large window is being divided into 1147 equally sized smaller squares.

Step 1: Divide the total area of the large window by the number of smaller squares.
Area of each smaller square = Total area of the large window / Number of smaller squares
Area of each smaller square = 67673 square inches / 1147 smaller squares
Area of each smaller square = 59 square inches

Therefore, the area of each smaller square is 59 square inches.

### Answer: 59

Expected answer: 59

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of oranges by the number of trees to find the number of oranges produced by each tree.

Given information:
- The total number of oranges produced is 49,920.
- The number of trees in the field is 195.

Step 1: Divide the total number of oranges by the number of trees.
Number of oranges per tree = Total number of oranges / Number of trees
Number of oranges per tree = 49,920 / 195
Number of oranges per tree = 256

Therefore, each tree produces 256 oranges.

### Answer: 256

Expected answer: 256

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of children in each school and then use that information to determine how many children in each school had a sandwich for lunch.

Given information:
- 34160 children had a sandwich for lunch.
- There are 4270 schools in the country.
- Every school has an equal number of children.

Step 1: Find the total number of children in the country.
Let x be the number of children in each school.
Total number of children = Number of schools × Number of children in each school
Total number of children = 4270 × x

Step 2: Find the number of children in each school.
We know that 34160 children had a sandwich for lunch.
34160 = Total number of children who had a sandwich for lunch
34160 = 4270 × x
x = 34160 / 4270
x = 8

Therefore, each school has 8 children.

Step 3: Find the number of children in each school who had a sandwich for lunch.
Since every school has an equal number of children, and 34160 children had a sandwich for lunch, each school must have had 8 children who had a sandwich for lunch.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find how many times the amount of toothpaste in the tube can be divided by the average amount used per brushing.

Given information:
- The toothpaste tube contains 3366 grams of paste.
- Each brushing uses an average of 306 grams of toothpaste.

Step 1: Divide the total amount of toothpaste in the tube by the average amount used per brushing.
Number of times you can brush your teeth = Total amount of toothpaste in the tube / Average amount used per brushing
Number of times you can brush your teeth = 3366 grams / 306 grams
Number of times you can brush your teeth = 11

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

### Answer: 11

Expected answer: 11

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of towels by the number of boxes.

Given information:
- The textile factory produces 49742 towels.
- The towels are evenly distributed among 1309 boxes.

Step 1: Divide the total number of towels by the number of boxes.
Number of towels in each box = Total number of towels / Number of boxes
Number of towels in each box = 49742 / 1309
Number of towels in each box = 38

Therefore, each box contains 38 towels.

### Answer: 38

Expected answer: 38

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of messages sent per day by dividing the total number of messages by the number of days.

Given information:
- The alien civilization sends 43134 messages over a period of 3318 Earth days.
- They send exactly the same number of messages each day.

Step 1: Divide the total number of messages by the number of days.
Number of messages per day = Total number of messages / Number of days
Number of messages per day = 43134 / 3318

Step 2: Calculate the result.
Number of messages per day = 43134 / 3318
Number of messages per day = 13

Therefore, the alien civilization sends 13 messages per day.

### Answer: 13

Expected answer: 13

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of students by the number of school buses.

Given information:
- The school district has 80,011 students.
- There are 31 school buses.

Step 1: Divide the total number of students by the number of school buses.
Number of students per bus = Total number of students / Number of school buses
Number of students per bus = 80,011 / 31
Number of students per bus = 2,580.97 (rounded to two decimal places)

Since we cannot have a fractional number of students, we need to round down to the nearest whole number.

Therefore, the number of students per bus is 2,580.

### Answer: 2,580

Expected answer: 2581

Correct? No

Problem: A camera store sold 54020 cameras over a period of 730 days. If they sell the same number of cameras each day, how many cameras are sold daily?

Claude-3 Sonnet:

To solve this problem, we need to find the number of cameras sold per day.

Given information:
- The camera store sold 54020 cameras over a period of 730 days.
- The store sells the same number of cameras each day.

Step 1: Find the number of cameras sold per day.
Number of cameras sold per day = Total number of cameras sold / Total number of days
Number of cameras sold per day = 54020 / 730

Step 2: Calculate the number of cameras sold per day.
Number of cameras sold per day = 54020 / 730
Number of cameras sold per day = 74

Therefore, the camera store sells 74 cameras daily.

### Answer: 74

Expected answer: 74

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of liters of ice cream in each container.

Given information:
- The ice cream factory made 25774 liters of ice cream.
- The ice cream was packed into 526 containers evenly.

Step 1: Find the total number of liters of ice cream in all containers.
Total liters of ice cream = 25774 liters

Step 2: Find the number of liters of ice cream in each container.
Number of liters of ice cream in each container = Total liters of ice cream / Number of containers
Number of liters of ice cream in each container = 25774 liters / 526 containers
Number of liters of ice cream in each container = 49 liters

Therefore, each container accommodates 49 liters of ice cream.

### Answer: 49

Expected answer: 49

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the average distance traveled by each bus in a week.

Given information:
- The total distance driven by all buses in a week is 85,300 miles.
- The total number of buses in the fleet is 3,412.

Step 1: Find the average distance traveled by each bus.
Average distance traveled by each bus = Total distance driven by all buses / Total number of buses
Average distance traveled by each bus = 85,300 miles / 3,412 buses
Average distance traveled by each bus = 25 miles

Therefore, assuming each bus travels the same distance, each bus drives 25 miles in a week.

### Answer: 25

Expected answer: 25

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total energy generated by the number of hours.

Given information:
- The wind turbine generates a total of 92250 kilowatts of energy.
- The energy was generated over a period of 75 hours.

Total energy generated = 92250 kilowatts
Time period = 75 hours

Energy generated per hour = Total energy generated / Time period
Energy generated per hour = 92250 kilowatts / 75 hours
Energy generated per hour = 1230 kilowatts per hour

### Answer: 1230

Expected answer: 1230

Correct? Yes

Problem: A baby gained a total of 3734 grams over a span of 1867 days. How many grams did the baby gain daily on average?

Claude-3 Sonnet:

To solve this problem, we need to find the average daily weight gain of the baby by dividing the total weight gain by the number of days.

Given information:
- Total weight gain of the baby = 3734 grams
- Number of days = 1867 days

Average daily weight gain = Total weight gain / Number of days
Average daily weight gain = 3734 grams / 1867 days
Average daily weight gain = 2 grams per day

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the hose releases water per minute.

Given information:
- The hose releases a total of 33,532 liters of water.
- The hose releases the same amount of water each minute for 8,383 minutes.

We can set up the following equation:
Total water released = Rate of water release per minute × Total minutes

33,532 liters = Rate of water release per minute × 8,383 minutes

Rearranging the equation to find the rate of water release per minute:
Rate of water release per minute = Total water released / Total minutes
Rate of water release per minute = 33,532 liters / 8,383 minutes
Rate of water release per minute = 4 liters/minute

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of eggs contributed by each chicken.

Given information:
- The farmer collects a total of 96,120 eggs.
- The eggs are collected evenly from 20 chickens.

Step 1: Find the number of eggs contributed by each chicken.
Total number of eggs / Number of chickens = Number of eggs per chicken
96,120 eggs / 20 chickens = 4,806 eggs per chicken

Therefore, each chicken contributes 4,806 eggs.

### Answer: 4,806

Expected answer: 4806

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the average amount of rain per day by dividing the total amount of rain by the number of days.

Given information:
- The town receives 11458 millimeters of rain.
- The rain falls over 17 days.

Step 1: Divide the total amount of rain by the number of days.
Average amount of rain per day = Total amount of rain / Number of days
Average amount of rain per day = 11458 millimeters / 17 days
Average amount of rain per day = 674 millimeters

Therefore, if the town receives the same amount of rain every day, it receives 674 millimeters of rain each day.

### Answer: 674

Expected answer: 674

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate of pen production per hour.

Given information:
- The pen factory produced 2526 pens in 842 hours.
- The production rate was constant (equal pace all the time).

To find the rate of pen production per hour, we need to divide the total number of pens produced by the total number of hours.

Rate of pen production per hour = Total number of pens produced / Total number of hours
Rate of pen production per hour = 2526 pens / 842 hours
Rate of pen production per hour = 3 pens per hour

Therefore, the pen factory produced 3 pens every hour.

### Answer: 3

Expected answer: 3

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of erasers by the number of classrooms.

Given information:
- Total number of erasers = 285
- Number of classrooms = 19

Step 1: Divide the total number of erasers by the number of classrooms.
Number of erasers per classroom = Total number of erasers / Number of classrooms
Number of erasers per classroom = 285 / 19
Number of erasers per classroom = 15

Therefore, each classroom will get 15 erasers.

### Answer: 15

Expected answer: 15

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the penguin's speed in feet per hour, given the distance covered and the time taken.

Given information:
- The penguin covers a distance of 41020 feet.
- The penguin takes 5 hours to cover this distance.

To find the speed, we need to divide the distance by the time taken.

Speed = Distance / Time
Speed = 41020 feet / 5 hours
Speed = 8204 feet per hour

Therefore, the penguin's speed is 8204 feet per hour.

### Answer: 8204

Expected answer: 8204

Correct? Yes

Problem: A water company has a reservoir that can hold 63360 gallons of water. If the reservoir is divided into 576 equal sections, how many gallons of water does each section hold?

Claude-3 Sonnet:

To solve this problem, we need to find the capacity of each section by dividing the total capacity of the reservoir by the number of sections.

Given information:
- The reservoir can hold 63360 gallons of water.
- The reservoir is divided into 576 equal sections.

Step 1: Divide the total capacity of the reservoir by the number of sections.
Capacity of each section = Total capacity of the reservoir / Number of sections
Capacity of each section = 63360 gallons / 576 sections
Capacity of each section = 110 gallons

Therefore, each section of the reservoir holds 110 gallons of water.

### Answer: 110

Expected answer: 110

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of skirts each store received.

Given information:
- The fashion company made a total of 21868 skirts.
- The skirts were distributed equally among 77 stores.

Step 1: Find the number of skirts each store received.
Total number of skirts / Number of stores = Number of skirts per store
21868 skirts / 77 stores = 284 skirts per store

Therefore, each store received 284 skirts.

### Answer: 284

Expected answer: 284

Correct? Yes

Problem: A TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period. On average, how many minutes of advertisements are shown each day?

Claude-3 Sonnet:

To solve this problem, we need to find the average number of minutes of advertisements shown per day.

Given information:
- The TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period.

Step 1: Find the total number of minutes in 59 days.
Number of minutes in a day = 24 hours × 60 minutes/hour = 1440 minutes
Number of minutes in 59 days = 59 × 1440 minutes = 84960 minutes

Step 2: Find the average number of minutes of advertisements shown per day.
Average number of minutes of advertisements per day = Total minutes of advertisements / Total number of days
Average number of minutes of advertisements per day = 56109 minutes / 59 days
Average number of minutes of advertisements per day = 951 minutes

Therefore, on average, the TV channel shows 951 minutes (approximately 15 hours and 51 minutes) of advertisements each day.

### Answer: 951

Expected answer: 951

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of marks in each exam paper by dividing the total number of marks by the number of exam papers.

Given information:
- The total number of marks is 59748.
- The number of exam papers is 1149.

Step 1: Divide the total number of marks by the number of exam papers.
Number of marks per exam paper = Total number of marks / Number of exam papers
Number of marks per exam paper = 59748 / 1149
Number of marks per exam paper = 52

Therefore, each exam paper has 52 marks.

### Answer: 52

Expected answer: 52

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total amount of water in the reservoir by the number of houses in the village.

Given information:
- The reservoir holds 44840 liters of water.
- There are 76 houses in the village.

Step 1: Divide the total amount of water by the number of houses.
Amount of water per house = Total amount of water / Number of houses
Amount of water per house = 44840 liters / 76 houses
Amount of water per house = 590 liters

Therefore, if the water in the reservoir is equally distributed across 76 houses in the village, each house will get 590 liters of water.

### Answer: 590 liters

Expected answer: 590

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of eggs by the number of flowers to find the number of eggs laid on each flower.

Given information:
- The butterfly laid 5385 eggs in total.
- The eggs were spread evenly across 359 flowers.

Step 1: Divide the total number of eggs by the number of flowers.
Number of eggs per flower = Total number of eggs / Number of flowers
Number of eggs per flower = 5385 / 359

Step 2: Calculate the result.
Number of eggs per flower = 5385 / 359
Number of eggs per flower = 15

Therefore, the butterfly laid 15 eggs on each flower.

### Answer: 15

Expected answer: 15

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of pixels in each row by dividing the total number of pixels by the number of rows.

Given information:
- The camera has a total of 95038 pixels.
- The pixels are divided evenly into 61 rows.

Step 1: Divide the total number of pixels by the number of rows.
Number of pixels in each row = Total number of pixels / Number of rows
Number of pixels in each row = 95038 / 61
Number of pixels in each row = 1558

Therefore, there are 1558 pixels in each row.

### Answer: 1558

Expected answer: 1558

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of ice cream cones produced per day by dividing the total number of cones by the number of days.

Given information:
- The ice cream factory produces a total of 45,580 cones of ice cream.
- The production period is 53 days.

Step 1: Divide the total number of cones by the number of days.
Number of cones produced per day = Total number of cones / Number of days
Number of cones produced per day = 45,580 / 53

Step 2: Calculate the result.
Number of cones produced per day = 45,580 / 53
Number of cones produced per day = 860

Therefore, if the ice cream cones are produced uniformly across 53 days, the ice cream factory makes 860 ice cream cones each day.

### Answer: 860

Expected answer: 860

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total area of the fabric and divide it by the number of towels.

Given information:
- The factory produces 36135 square inches of towel fabric.
- The fabric is divided evenly among 219 towels.

Step 1: Find the total area of the fabric.
Total area of the fabric = 36135 square inches

Step 2: Find the area of fabric for each towel.
Area of fabric for each towel = Total area of the fabric / Number of towels
Area of fabric for each towel = 36135 square inches / 219 towels
Area of fabric for each towel = 165 square inches

Therefore, each towel has an area of 165 square inches of fabric.

### Answer: 165

Expected answer: 165

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the fireplace burns energy per hour.

Given information:
- The fireplace burns 36300 kilojoules of energy in 4 hours.

Step 1: Find the rate of energy burn per hour.
Rate of energy burn per hour = Total energy burn / Total time
Rate of energy burn per hour = 36300 kilojoules / 4 hours
Rate of energy burn per hour = 9075 kilojoules per hour

Therefore, the fireplace burns 9075 kilojoules of energy in one hour.

### Answer: 9075 kilojoules

Expected answer: 9075

Correct? Yes

Problem: A snowman-making competition has 9 teams, each of them was provided an equal amount of snow weighing up to 51156 kilograms in total. How much snow, in kilograms, did each team get to make their snowman?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of snow each team received.

Given information:
- There are 9 teams in the competition.
- The total amount of snow provided is 51,156 kilograms.
- Each team received an equal amount of snow.

Step 1: Find the amount of snow each team received.
Total amount of snow / Number of teams = Amount of snow per team
51,156 kilograms / 9 teams = 5,684 kilograms per team

Therefore, each team received 5,684 kilograms of snow to make their snowman.

### Answer: 5684

Expected answer: 5684

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of apples harvested each day by dividing the total number of apples by the number of days.

Given information:
- The total number of apples yielded from the orchard is 56250.
- The apples were harvested over the course of 30 days.
- The same number of apples were harvested each day.

Step 1: 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

Therefore, 1875 apples were harvested each day from the apple orchard.

### Answer: 1875

Expected answer: 1875

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to convert the given number of seconds into days.

Given information:
- The baby spoke her first word after 82992 seconds of being awake in her life.
- One day is considered 1729 seconds.

Step 1: Convert the number of seconds into days.
Number of days = Number of seconds / Number of seconds in a day
Number of days = 82992 seconds / 1729 seconds per day
Number of days = 48 days

Therefore, the baby spoke her first word after 48 days of being awake in her life.

### Answer: 48

Expected answer: 48

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the ratio of centimeters to kilometers on the map, and then use it to find how many centimeters represent 1 kilometer in real life.

Given information:
- The map scale is 91368 centimeters representing 216 kilometers.

Step 1: Find the ratio of centimeters to kilometers on the map.
Ratio of centimeters to kilometers = 91368 centimeters / 216 kilometers
Ratio of centimeters to kilometers = 423 centimeters / 1 kilometer

Step 2: Use the ratio to find how many centimeters represent 1 kilometer in real life.
Number of centimeters representing 1 kilometer = 1 × 423 centimeters / 1 kilometer
Number of centimeters representing 1 kilometer = 423 centimeters

Therefore, 423 centimeters on the map represent 1 kilometer in real life.

### Answer: 423

Expected answer: 423

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of beads that will be used for each section of the dress.

Given information:
- The fashion designer plans to use 33536 beads in total.
- The beads will be distributed uniformly across 131 different sections.

To find the number of beads for each section, we need to divide the total number of beads by the number of sections.

Step 1: Divide the total number of beads by the number of sections.
Number of beads per section = Total number of beads / Number of sections
Number of beads per section = 33536 / 131
Number of beads per section = 256

Therefore, each section of the dress will have 256 beads.

### Answer: 256

Expected answer: 256

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the firefighter sprays water per minute.

Given information:
- The firefighter sprays a total of 69,966 gallons of water.
- The firefighter sprays water for 299 minutes.

Step 1: Find the rate of water sprayed per minute.
Rate of water sprayed per minute = Total water sprayed / Total time
Rate of water sprayed per minute = 69,966 gallons / 299 minutes
Rate of water sprayed per minute = 234 gallons per minute

Therefore, the firefighter sprays 234 gallons of water each minute.

### Answer: 234

Expected answer: 234

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of glass material required for 2118 windows and then divide it by the number of windows to find the amount required for a single window.

Given information:
- The latest model of window requires 6354 square inches of glass material.
- The manufacturer's current stock can cover 2118 same-sized windows.

Step 1: Find the total amount of glass material required for 2118 windows.
Total glass material required for 2118 windows = 6354 square inches × 2118 windows
Total glass material required for 2118 windows = 13,458,012 square inches

Step 2: Find the amount of glass material required for a single window.
Amount of glass material required for a single window = Total glass material required for 2118 windows / 2118 windows
Amount of glass material required for a single window = 13,458,012 square inches / 2118 windows
Amount of glass material required for a single window = 6354 square inches

Therefore, the amount of glass material required for a single window is 6354 square inches.

### Answer: 6354

Expected answer: 3

Correct? No

Problem: A frog jumps a total of 12288 centimeters in 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog jump per jump?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the frog jumps in each jump.

Given information:
- The frog jumps a total of 12288 centimeters.
- The frog takes 512 jumps.
- The frog jumps the same distance each time.

We can set up an equation to find the distance per jump:
Total distance = Distance per jump × Number of jumps
12288 = Distance per jump × 512

Dividing both sides by 512, we get:
Distance per jump = 12288 / 512
Distance per jump = 24 centimeters

Therefore, the frog jumps 24 centimeters per jump.

### Answer: 24

Expected answer: 24

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of flowers in each pot by dividing the total number of flowers by the number of pots.

Given information:
- The gardener planted a total of 1392 flowers.
- The flowers were planted evenly into 116 pots.

Step 1: Divide the total number of flowers by the number of pots.
Number of flowers in each pot = Total number of flowers / Number of pots
Number of flowers in each pot = 1392 / 116
Number of flowers in each pot = 12

Therefore, there are 12 flowers in each pot.

### Answer: 12

Expected answer: 12

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the average number of scoops sold per week.

Given information:
- The ice cream shop sold a total of 31,176 scoops of ice cream.
- The sales period was 9 weeks.

Step 1: Find the average number of scoops sold per week.
Total scoops sold / Number of weeks = Average scoops sold per week
31,176 scoops / 9 weeks = 3,464 scoops per week

Therefore, the ice cream shop sold an average of 3,464 scoops of ice cream each week.

### Answer: 3,464

Expected answer: 3464

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which the mouse runs in meters per hour.

Given information:
- The mouse runs 14824 meters in 4 hours.
- The mouse runs at a constant rate.

Step 1: Find the rate of running in meters per hour.
Rate of running (meters per hour) = Total distance run (meters) / Total time (hours)
Rate of running (meters per hour) = 14824 meters / 4 hours
Rate of running (meters per hour) = 3706 meters per hour

Therefore, the mouse runs at a constant rate of 3706 meters per hour.

### Answer: 3706

Expected answer: 3706

Correct? Yes

Problem: In a large monkey sanctuary, there are 88,508 bananas to be split evenly among 406 monkeys. If every monkey will receive an equal number of bananas, how many bananas would each monkey get?

Claude-3 Sonnet:

To solve this problem, we need to divide the total number of bananas by the number of monkeys.

Given information:
- There are 88,508 bananas in the sanctuary.
- There are 406 monkeys in the sanctuary.

Step 1: Divide the total number of bananas by the number of monkeys.
Number of bananas per monkey = Total number of bananas / Number of monkeys
Number of bananas per monkey = 88,508 / 406
Number of bananas per monkey = 218

Therefore, if the bananas are split evenly among the 406 monkeys, each monkey will receive 218 bananas.

### Answer: 218

Expected answer: 218

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of tables based on the total number of table legs ordered and the number of legs per table.

Given information:
- The hotel owner ordered 15110 table legs.
- Each table has 2 legs.

Step 1: Find the number of tables by dividing 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

Therefore, the hotel owner is ordering 7555 tables.

### Answer: 7555

Expected answer: 7555

Correct? Yes

Problem: A hat maker has 3560 feathers which will be used to decorate hats. If each hat will have 890 feathers, how many hats can be made?

Claude-3 Sonnet:

To solve this problem, we need to find how many times 890 feathers can go into 3560 feathers.

Given information:
- The hat maker has 3560 feathers.
- Each hat requires 890 feathers.

Step 1: Divide the total number of feathers by the number of feathers required for each hat.
Number of hats that can be made = Total number of feathers / Number of feathers per hat
Number of hats that can be made = 3560 / 890

Step 2: Perform the division.
3560 / 890 = 4

Therefore, the hat maker can make 4 hats with the available 3560 feathers.

### Answer: 4

Expected answer: 4

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of points each player has when the total points are distributed equally among the three players.

Given information:
- The total number of points is 17394.
- The points are distributed equally among 3 players.

Step 1: Find the number of points each player has.
Total points / Number of players = Points per player
17394 / 3 = 5798

Therefore, each player has 5798 points.

### Answer: 5798

Expected answer: 5798

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the area of each section by dividing the total area of Central Park by the number of sections.

Given information:
- The total area of Central Park is 3276 acres.
- The park is divided into 126 identical sections.

Step 1: Divide the total area by the number of sections.
Area of each section = Total area / Number of sections
Area of each section = 3276 acres / 126 sections

Step 2: Calculate the area of each section.
Area of each section = 3276 acres / 126 sections
Area of each section = 26 acres

Therefore, each section of Central Park has an area of 26 acres.

### Answer: 26

Expected answer: 26

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of fabric required for each pair of pants.

Given information:
- The pants manufacturer has 54736 yards of fabric.
- They plan to make 11 pairs of pants.
- Each pair of pants will consume an equal portion of the total fabric.

Step 1: Find the total amount of fabric required for 11 pairs of pants.
Total fabric required = Total fabric available
Total fabric required = 54736 yards

Step 2: Find the amount of fabric required for each pair of pants.
Amount of fabric required for each pair = Total fabric required / Number of pairs
Amount of fabric required for each pair = 54736 yards / 11 pairs
Amount of fabric required for each pair = 4976 yards

Therefore, if the pants manufacturer intends to produce 11 pairs of pants, each pair will require 4976 yards of fabric.

### Answer: 4976

Expected answer: 4976

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the relationship between the rotation of the minute hand and the number of hours.

Given information:
- The minute hand rotates 49716 degrees in 18 hours.
- The rotation is uniform.

Step 1: Find the rotation of the minute hand in one hour.
Rotation of the minute hand in 18 hours = 49716 degrees
Rotation of the minute hand in 1 hour = 49716 degrees / 18 hours
Rotation of the minute hand in 1 hour = 2762 degrees

Step 2: Convert the rotation in degrees to the standard unit of angle measurement (360 degrees).
Rotation of the minute hand in 1 hour = 2762 degrees
Number of complete rotations in 1 hour = 2762 degrees / 360 degrees
Number of complete rotations in 1 hour = 7 rotations (with a remainder of 182 degrees)

Therefore, the minute hand rotates 7 complete rotations (360 degrees × 7 = 2520 degrees) plus an additional 182 degrees in one hour.

### Answer: 2702 degrees

Expected answer: 2762

Correct? No

Problem: A toy company has made 1865 stuffed animals spread over 373 different designs. If each design has the same number of stuffed animals, how many stuffed animals are there for each design?

Claude-3 Sonnet:

To solve this problem, we need to find the number of stuffed animals per design by dividing the total number of stuffed animals by the number of different designs.

Given information:
- The toy company has made 1865 stuffed animals.
- There are 373 different designs.
- Each design has the same number of stuffed animals.

Step 1: Divide the total number of stuffed animals by the number of different designs.
Number of stuffed animals per design = Total number of stuffed animals / Number of different designs
Number of stuffed animals per design = 1865 / 373

Step 2: Calculate the result.
Number of stuffed animals per design = 1865 / 373
Number of stuffed animals per design = 5

Therefore, there are 5 stuffed animals for each design.

### Answer: 5

Expected answer: 5

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the bear travels each day by dividing the total distance traveled by the number of days.

Given information:
- The bear travels a total of 31,470 feet in 30 days.
- The bear travels the same distance each day.

Step 1: Divide the total distance traveled by the number of days.
Distance traveled per day = Total distance traveled / Number of days
Distance traveled per day = 31,470 feet / 30 days
Distance traveled per day = 1,049 feet

Therefore, the bear travels 1,049 feet each day.

### Answer: 1049

Expected answer: 1049

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of pen units each retailer received.

Given information:
- The pen manufacturer produced 9636 pen units.
- The pen units were distributed equally among 44 retailers.

Step 1: Find the total number of pen units each retailer received.
Total number of pen units / Number of retailers = Number of pen units per retailer
9636 pen units / 44 retailers = 219 pen units per retailer

Therefore, each retailer received 219 pen units.

### Answer: 219

Expected answer: 219

Correct? Yes