MathCAMPS

🔗 Problem

Problem: A school bus drives 2496 miles over 52 weeks taking students to various competitions. How many miles does the bus drive on average each week?

DeepSeek 67B:

Reasoning:
The bus drives 2496 miles over 52 weeks.
To find the average miles driven per week, we divide the total miles by the number of weeks.
So, the bus drives 2496/52 = <<2496/52=48>>48 miles on average each week.
### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Follow-up

Problem: If the school bus had instead driven 6100 miles over the same 52 weeks, how many miles would the bus have driven on average each week?

DeepSeek 67B:

Reasoning:
The bus drives 6100 miles over 52 weeks.
To find the average miles driven per week, we divide the total miles by the number of weeks.
So, the bus drives 6100/52 = <<6100/52=117.31>>117.31 miles on average each week.
### Answer: 117.31

Expected answer: 1525/13

Correct? No

🔗 Problem

Problem: An astronaut has a 90-day mission in space during which he consumes a total of 3870 liters of oxygen. If his oxygen consumption is the same every day, how much oxygen does he use daily?

DeepSeek 67B:

Reasoning:
The astronaut uses 3870 liters of oxygen in 90 days.
To find out how much oxygen he uses daily, we need to divide the total amount of oxygen by the number of days.
So, 3870 liters / 90 days = 43 liters per day.
The answer is: 43

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A dinosaur lays 50 eggs evenly in 10 nests. How many eggs are there in each nest?

DeepSeek 67B:

Reasoning:
If a dinosaur lays 50 eggs evenly in 10 nests, then the number of eggs in each nest is 50/10 = <<50/10=5>>5.
### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?

DeepSeek 67B:

Reasoning:
If a dinosaur lays 2603 eggs evenly in 10 nests, then the number of eggs in each nest is 2603/10 = <<2603/10=260.3>>260.3.
Since we cannot have a fraction of an egg, we round down to the nearest whole number.
### Answer: 260

Expected answer: 2603/10

Correct? No

🔗 Problem

Problem: A family decided to donate 455 towels to a local shelter. They plan to donate an equal amount of towels each day for 5 days. How many towels will they donate each day?

DeepSeek 67B:

Reasoning: The family plans to donate 455 towels in total over 5 days.
To find out how many towels they will donate each day, we divide the total number of towels by the number of days.
So, 455 towels / 5 days = <<455/5=91>>91 towels per day.
### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?

DeepSeek 67B:

Reasoning: The family now has 4581 towels to donate instead of 455.
They still plan to donate equal amounts for 5 days.
To find out how many towels they will donate each day, we divide the total number of towels by the number of days.
So, 4581 towels / 5 days = <<4581/5=916.2>>916.2 towels per day.
Since they cannot donate a fraction of a towel, they will donate 916 towels each day.
### Answer: 916

Expected answer: 4581/5

Correct? No

🔗 Problem

Problem: A school has 1089 students and plans to take them on a field trip using buses. If each bus can carry exactly 11 students, how many buses does the school need to hire for the field trip?

DeepSeek 67B:

Reasoning: The school needs to divide the total number of students by the number of students each bus can carry to find out how many buses are needed.
The school needs to hire 1089/11 = <<1089/11=99>>99 buses for the field trip.
### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: Following the field trip, the school finds out that they will now be taking 4570 students for the next excursion. If each bus can still only carry 11 students, how many buses will the school need to hire for this next field trip?

DeepSeek 67B:

Reasoning: The school needs to divide the total number of students by the number of students each bus can carry to find out how many buses are needed.
The school needs to hire 4570/11 = <<4570/11=415>>415 buses for the next field trip.
### Answer: 415

Expected answer: 4570/11

Correct? No

🔗 Problem

Problem: A bed sheet manufacturer produces 2520 bed sheets in 28 days. If they produce the same number of sheets every day, how many bed sheets are manufactured each day?

DeepSeek 67B:

Reasoning:
To find out how many bed sheets are manufactured each day, we need to divide the total number of bed sheets produced in 28 days by the number of days.

Solution:
The number of bed sheets manufactured each day is 2520 / 28 = <<2520/28=90>>90.

Answer: 90

Expected answer: 90

Correct? Yes

🔗 Follow-up

Problem: Let's now consider a different bed sheet manufacturer who manages to produce a total of 7208 bed sheets in the same 28-day period. If they also produced the same number of sheets every day, how many bed sheets are manufactured each day in this case?

DeepSeek 67B:

Reasoning:
To find out how many bed sheets are manufactured each day, we need to divide the total number of bed sheets produced in 28 days by the number of days.

Solution:
The number of bed sheets manufactured each day is 7208 / 28 = <<7208/28=257.36>>257.36.

Answer: 257.36

Expected answer: 1802/7

Correct? No

🔗 Problem

Problem: A dog food manufacturer produces 2900 pounds of dog food in a day. If this amount is evenly distributed into 50 bags, how many pounds of food does each bag contain?

DeepSeek 67B:

Reasoning:
To find out how many pounds of food each bag contains, we need to divide the total amount of dog food produced in a day (2900 pounds) by the number of bags (50).

2900 pounds / 50 bags = 58 pounds per bag

Each bag contains 58 pounds of dog food.

Expected answer: 58

Correct? Yes

🔗 Problem

Problem: A cat catches 2187 mice over a period of 27 months. How many mice does the cat catch each month?

DeepSeek 67B:

Reasoning:
To find out how many mice the cat catches each month, we need to divide the total number of mice caught by the number of months.

Solution:
The cat catches 2187 mice / 27 months = <<2187/27=81>>81 mice each month.

Answer: 81

Expected answer: 81

Correct? Yes

🔗 Follow-up

Problem: The cat's hunting skills have improved! Now this cat catches 2784 mice over the same period of 27 months. How many mice does the cat now catch each month?

DeepSeek 67B:

Reasoning:
To find out how many mice the cat catches each month, we need to divide the total number of mice caught by the number of months.

Solution:
The cat catches 2784 mice / 27 months = <<2784/27=103.11111111111111>>103 mice each month.

Answer: 103

Expected answer: 928/9

Correct? No

🔗 Problem

Problem: A vineyard has harvested 1426 grapes and wants to pack them evenly among 62 boxes. How many grapes will be in each box?

DeepSeek 67B:

Reasoning:
To find out how many grapes will be in each box, we need to divide the total number of grapes by the number of boxes.

1426 grapes / 62 boxes = 23 grapes per box

So, there will be 23 grapes in each box.

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A group of scientists studying marine life have found 1152 starfish distributed evenly over 72 square feet of seafloor. How many starfish are there in each square foot of seafloor?

DeepSeek 67B:

Reasoning:
To find out how many starfish are there in each square foot of seafloor, we need to divide the total number of starfish by the total area of seafloor.

So, 1152 starfish / 72 square feet = <<1152/72=16>>16 starfish in each square foot of seafloor.

Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?

DeepSeek 67B:

Reasoning:
To find out how many starfish are there in each square foot of this different seafloor area, we need to divide the total number of starfish by the total area of seafloor.

So, 833 starfish / 72 square feet = <<833/72=11.5>>11.5 starfish in each square foot of this different seafloor area.

Answer: 11.5

Expected answer: 833/72

Correct? No

🔗 Problem

Problem: In a sandbox, a child splits 36 toy trucks evenly between his 18 stuffed animals. How many toy trucks does each stuffed animal get?

DeepSeek 67B:

Reasoning:
The child splits 36 toy trucks evenly between his 18 stuffed animals.
To find out how many toy trucks each stuffed animal gets, we divide the total number of toy trucks by the number of stuffed animals.
So, each stuffed animal gets 36/18 = <<36/18=2>>2 toy trucks.
### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?

DeepSeek 67B:

Reasoning:
The child finds another huge stash of toy trucks totaling 2925.
He continues to distribute them evenly among his 18 stuffed animals.
To find out how many additional toy trucks each stuffed animal gets, we divide the total number of toy trucks by the number of stuffed animals.
So, each stuffed animal gets 2925/18 = <<2925/18=162.5>>162.5 additional toy trucks.
### Answer: 162.5

Expected answer: 325/2

Correct? Yes

🔗 Problem

Problem: A police officer patrols a city that has been divided into 240 blocks. The city is divided evenly among 30 officers. How many blocks is each officer responsible for?

DeepSeek 67B:

Reasoning:
There are 240 blocks in the city and 30 officers.
To find out how many blocks each officer is responsible for, we divide the total number of blocks by the number of officers.
So, 240 blocks / 30 officers = 8 blocks per officer.
Each officer is responsible for 8 blocks.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?

DeepSeek 67B:

Reasoning:
There are 3698 blocks in the city and 30 officers.
To find out how many blocks each officer is responsible for, we divide the total number of blocks by the number of officers.
So, 3698 blocks / 30 officers = 123.26666666666667 blocks per officer.
Since we can't have a fraction of a block, we round up to the nearest whole number.
Each officer is responsible for 124 blocks.
### Answer: 124

Expected answer: 1849/15

Correct? No

🔗 Problem

Problem: In an enchanted forest, there are 7917 unicorns spread evenly among 87 meadows. How many unicorns are there in each meadow?

DeepSeek 67B:

Reasoning:
To find out how many unicorns are in each meadow, we need to divide the total number of unicorns by the number of meadows.

Solution:
7917 unicorns / 87 meadows = 91 unicorns per meadow.

Answer: There are 91 unicorns in each meadow.

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: If the enchanted forest had originally contained 2842 unicorns evenly distributed among the 87 meadows instead of 7917, how many unicorns would there be in each meadow?

DeepSeek 67B:

Reasoning:
To find out how many unicorns are in each meadow, we need to divide the total number of unicorns by the number of meadows.

Solution:
2842 unicorns / 87 meadows = 32.6 unicorns per meadow.

Answer: There would be approximately 33 unicorns in each meadow.

Expected answer: 98/3

Correct? No

🔗 Problem

Problem: A river flows 902 kilometers through a country, passing through 82 cities along its course. If the river's length is evenly distributed among these cities, how many kilometers of the river's length are there within each city?

DeepSeek 67B:

Reasoning:
The total length of the river is 902 kilometers, and it passes through 82 cities. To find the length of the river within each city, we need to divide the total length by the number of cities.

Solution:
The length of the river within each city is 902/82 = <<902/82=11>>11 kilometers.
### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Follow-up

Problem: Suppose instead, the river was longer and flowed 3767 kilometers through the same country, passing through the same 82 cities along its course. If the river's length is evenly distributed among these cities under this new scenario, how many kilometers of the river's length would there be within each city?

DeepSeek 67B:

Reasoning:
The total length of the river is now 3767 kilometers, and it still passes through 82 cities. To find the length of the river within each city, we need to divide the total length by the number of cities.

Solution:
The length of the river within each city is 3767/82 = <<3767/82=46>>46 kilometers.
### Answer: 46

Expected answer: 3767/82

Correct? No

🔗 Problem

Problem: A sunglasses manufacturer produces a total of 552 sunglasses across 69 different production runs. If every run produces an equal number of sunglasses, how many sunglasses are made in each run?

DeepSeek 67B:

Reasoning:
To find out how many sunglasses are made in each run, we need to divide the total number of sunglasses by the number of production runs.

So, 552 sunglasses / 69 production runs = <<552/69=8>>8 sunglasses per production run.

Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: The sunglasses manufacturer actually made a total of 7712 sunglasses across the same 69 production runs. If every run now produced an equal number of sunglasses, how many sunglasses would be made in each run?

DeepSeek 67B:

Reasoning:
To find out how many sunglasses are made in each run, we need to divide the total number of sunglasses by the number of production runs.

So, 7712 sunglasses / 69 production runs = <<7712/69=112>>112 sunglasses per production run.

Answer: 112

Expected answer: 7712/69

Correct? No

🔗 Problem

Problem: A baby grows at an average rate of 2125 grams in his first 25 days. What is the average daily weight gain of the baby?

DeepSeek 67B:

Reasoning:
The baby grows at an average rate of 2125 grams in his first 25 days.
To find the average daily weight gain, we need to divide the total weight gain by the number of days.
The total weight gain is 2125 grams and the number of days is 25.
So, the average daily weight gain is 2125/25 = 85 grams.
### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?

DeepSeek 67B:

Reasoning:
The baby grows at an average rate of 392 grams in his first 25 days.
To find the average daily weight gain, we need to divide the total weight gain by the number of days.
The total weight gain is 392 grams and the number of days is 25.
So, the average daily weight gain is 392/25 = 15.68 grams.
### Answer: 15.68

Expected answer: 392/25

Correct? Yes

🔗 Problem

Problem: A lamp factory has produced a total of 1073 lamps over 37 consecutive days. If the factory makes the same quantity each day, how many lamps does it manufacture daily?

DeepSeek 67B:

Reasoning:
To find out how many lamps the factory manufactures daily, we need to divide the total number of lamps produced by the number of days.

Solution:
The factory manufactures 1073/37 = <<1073/37=28.973>>28.973 lamps daily.

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

### Answer: 29

Expected answer: 29

Correct? Yes

🔗 Follow-up

Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?

DeepSeek 67B:

Reasoning:
To find out how many lamps the factory manufactures daily, we need to divide the total number of lamps produced by the number of days.

Solution:
The factory manufactures 7668/37 = <<7668/37=207.243>>207.243 lamps daily.

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

### Answer: 207

Expected answer: 7668/37

Correct? No

🔗 Problem

Problem: A tiger walked a total of 2556 meters in 36 minutes. How many meters did the tiger walk in one minute?

DeepSeek 67B:

Reasoning:
To find out how many meters the tiger walked in one minute, we need to divide the total distance walked by the total time taken.

The total distance walked by the tiger is 2556 meters and the total time taken is 36 minutes.

So, the tiger walked 2556/36 = <<2556/36=71>>71 meters in one minute.

### Answer: 71

Expected answer: 71

Correct? Yes

🔗 Follow-up

Problem: After some recalibration, it was discovered that the tiger actually walked a total of 2301 meters, and not 2556 meters, in 36 minutes. Given this new information, how many meters did the tiger walk in one minute?

DeepSeek 67B:

Reasoning:
To find out how many meters the tiger walked in one minute, we need to divide the total distance walked by the total time taken.

The total distance walked by the tiger is 2301 meters and the total time taken is 36 minutes.

So, the tiger walked 2301/36 = <<2301/36=64>>64 meters in one minute.

### Answer: 64

Expected answer: 767/12

Correct? No

🔗 Problem

Problem: There are 30 keys on a piano that you are considering to buy. If each key contributes equally to the total cost of the piano, and the piano costs 30 dollars, how much does each key cost?

DeepSeek 67B:

Reasoning: If there are 30 keys on the piano and the piano costs 30 dollars, then each key costs 30/30 = <<30/30=1>>1 dollar.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?

DeepSeek 67B:

Reasoning: If there are 30 keys on the piano and the piano costs 6906 dollars, then each key costs 6906/30 = <<6906/30=230.2>>230.2 dollars.
### Answer: 230.2

Expected answer: 1151/5

Correct? Yes

🔗 Problem

Problem: On the beach, there are 1804 seashells scattered across a 41-meter stretch of sand. If the seashells are distributed evenly across this stretch, how many seashells are there per meter?

DeepSeek 67B:

Reasoning:
To find out how many seashells are there per meter, we need to divide the total number of seashells by the total length of the stretch of sand.

So, 1804 seashells / 41 meters = 44 seashells per meter.

Therefore, there are 44 seashells per meter on the beach.
### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Follow-up

Problem: Now consider this: instead of 1804 seashells, there are 9083 seashells evenly scattered across the same 41-meter stretch of beach sand. How many seashells would there be per meter now?

DeepSeek 67B:

Reasoning:
To find out how many seashells are there per meter, we need to divide the total number of seashells by the total length of the stretch of sand.

So, 9083 seashells / 41 meters = 221.78 seashells per meter.

Therefore, there are approximately 222 seashells per meter on the beach.
### Answer: 222

Expected answer: 9083/41

Correct? No

🔗 Problem

Problem: A kite is flown for a total of 1311 minutes over the course of 23 days during the summer. If the kite is flown for the same amount of time each day, how many minutes is the kite in the air per day?

DeepSeek 67B:

Reasoning:
To find out how many minutes the kite is in the air per day, we need to divide the total minutes the kite was flown by the number of days.

Solution:
The kite is flown for 1311 minutes / 23 days = <<1311/23=57>>57 minutes per day.
### Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: Instead of 1311 minutes of total flight time, suppose the kite was flown for a total of 9051 minutes over the same duration of 23 days. How many minutes per day was the kite in the air now?

DeepSeek 67B:

Reasoning:
To find out how many minutes the kite is in the air per day, we need to divide the total minutes the kite was flown by the number of days.

Solution:
The kite is flown for 9051 minutes / 23 days = <<9051/23=393.52>>393.52 minutes per day.
### Answer: 393.52

Expected answer: 9051/23

Correct? No

🔗 Problem

Problem: A farmer harvested 2065 kilograms of tomatoes evenly from her 59 tomato plants. How many kilograms of tomatoes were produced by each plant on average?

DeepSeek 67B:

Reasoning:
The total weight of tomatoes harvested is 2065 kilograms.
The number of tomato plants is 59.
To find the average weight of tomatoes produced by each plant, we divide the total weight by the number of plants.
Average weight of tomatoes per plant = Total weight of tomatoes / Number of plants
Average weight of tomatoes per plant = 2065 / 59
Average weight of tomatoes per plant = 35 kilograms
Therefore, on average, each tomato plant produced 35 kilograms of tomatoes.
### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Follow-up

Problem: The farmer then realized she made a mistake in her count. She actually harvested 1021 kilograms of tomatoes from her 59 tomato plants instead of 2065 kilograms. Based on this new information, how many kilograms of tomatoes were produced by each plant on average now?

DeepSeek 67B:

Reasoning:
The total weight of tomatoes harvested is now 1021 kilograms.
The number of tomato plants is still 59.
To find the average weight of tomatoes produced by each plant, we divide the total weight by the number of plants.
Average weight of tomatoes per plant = Total weight of tomatoes / Number of plants
Average weight of tomatoes per plant = 1021 / 59
Average weight of tomatoes per plant = 17.39 kilograms
Therefore, on average, each tomato plant produced 17.39 kilograms of tomatoes.
### Answer: 17.39

Expected answer: 1021/59

Correct? No

🔗 Problem

Problem: A small indoor mouse can travel a total distance of 4928 meters by running all over the house in 77 hours. On average, how many meters does the mouse run in one hour?

DeepSeek 67B:

Reasoning:
To find the average distance the mouse runs in one hour, we need to divide the total distance by the total time.

The total distance the mouse runs is 4928 meters.
The total time the mouse runs is 77 hours.

So, the average distance the mouse runs in one hour is 4928/77 = <<4928/77=64>>64 meters.

### Answer: 64

Expected answer: 64

Correct? Yes

🔗 Follow-up

Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?

DeepSeek 67B:

Reasoning:
To find the average distance the mouse runs in one minute, we need to divide the total distance by the total time.

The total distance the mouse runs is 4928 meters.
The total time the mouse runs is 3690 minutes.

So, the average distance the mouse runs in one minute is 4928/3690 = <<4928/3690=1.334>>1.334 meters.

### Answer: 1.334

Expected answer: 2464/1845

Correct? No

🔗 Problem

Problem: A kite flies at a height of 1800 feet using a 50-foot string. How high is the kite flying per each foot of the used string?

DeepSeek 67B:

Reasoning:
The kite flies at a height of 1800 feet using a 50-foot string.
To find out how high the kite is flying per each foot of the used string, we need to divide the total height by the length of the string.
So, 1800 feet / 50 feet = 36 feet per foot of the used string.
### Answer: 36

Expected answer: 36

Correct? Yes

🔗 Follow-up

Problem: Suppose the kite now flies at a height of 5659 feet using the same 50-foot string. Now, how high is the kite flying per each foot of the used string?

DeepSeek 67B:

Reasoning:
The kite flies at a height of 5659 feet using a 50-foot string.
To find out how high the kite is flying per each foot of the used string, we need to divide the total height by the length of the string.
So, 5659 feet / 50 feet = 113.18 feet per foot of the used string.
### Answer: 113.18

Expected answer: 5659/50

Correct? Yes

🔗 Problem

Problem: During a camping trip, you gather 2208 ounces of firewood, which needs to be evenly divided over 96 hours of maintaining the campfire. How many ounces of firewood are used per hour?

DeepSeek 67B:

Reasoning:
To find out how many ounces of firewood are used per hour, we need to divide the total amount of firewood by the number of hours.

2208 ounces / 96 hours = 23 ounces

So, 23 ounces of firewood are used per hour.
### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A princess has received 600 gifts for her birthday. She decides to evenly distribute these gifts among 50 of her closest friends. How many gifts does each friend receive?

DeepSeek 67B:

Reasoning: The princess has 600/50 = <<600/50=12>>12 gifts for each friend.
### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?

DeepSeek 67B:

Reasoning: The princess has 4030/50 = <<4030/50=80.6>>80.6 gifts for each friend.
### Answer: 80.6

Expected answer: 403/5

Correct? Yes

🔗 Problem

Problem: Over the course of a 52-week year, you burned a total of 4264 logs in your fireplace. How many logs did you burn on average each week?

DeepSeek 67B:

Reasoning:
To find the average number of logs burned per week, we need to divide the total number of logs burned by the number of weeks in a year.

Total number of logs burned = 4264
Number of weeks in a year = 52

Average number of logs burned per week = Total number of logs burned / Number of weeks in a year
= 4264 / 52
= 82

So, on average, you burned 82 logs each week.
### Answer: 82

Expected answer: 82

Correct? Yes

🔗 Follow-up

Problem: Now, consider that throughout this year, you actually burned a total of 4264 logs, but over a shorter period of 3764 hours. How many logs did you burn on average each hour?

DeepSeek 67B:

Reasoning:
To find the average number of logs burned per hour, we need to divide the total number of logs burned by the total number of hours.

Total number of logs burned = 4264
Total number of hours = 3764

Average number of logs burned per hour = Total number of logs burned / Total number of hours
= 4264 / 3764
= 1.13

So, on average, you burned 1.13 logs each hour.
### Answer: 1.13

Expected answer: 1066/941

Correct? No

🔗 Problem

Problem: An unidentified flying object (UFO) traveled a distance of 1278 miles in 71 minutes. Assuming the UFO traveled at a constant speed, what was the UFO's speed in miles per minute?

DeepSeek 67B:

Reasoning:
To find the UFO's speed in miles per minute, we need to divide the total distance traveled by the total time taken.

Speed = Distance / Time

The distance traveled by the UFO is 1278 miles, and the time taken is 71 minutes.

Speed = 1278 miles / 71 minutes

Speed = 18 miles per minute

### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: If instead, the UFO traveled the same distance of 1278 miles, but this time over a longer period of 218 minutes, what then would be the UFO's speed in miles per minute?

DeepSeek 67B:

Reasoning:
To find the UFO's speed in miles per minute, we need to divide the total distance traveled by the total time taken.

Speed = Distance / Time

The distance traveled by the UFO is 1278 miles, and the time taken is 218 minutes.

Speed = 1278 miles / 218 minutes

Speed = 6 miles per minute

### Answer: 6

Expected answer: 639/109

Correct? No

🔗 Problem

Problem: A snail travels a total distance of 1610 cm in 35 days. If the snail travels the same distance each day, how many centimeters does the snail travel daily?

DeepSeek 67B:

Reasoning:
To find out how many centimeters the snail travels daily, we need to divide the total distance traveled by the number of days.

Solution:
The snail travels 1610 cm / 35 days = <<1610/35=46>>46 cm daily.

Answer: 46

Expected answer: 46

Correct? Yes

🔗 Follow-up

Problem: If instead, the snail traveled a total distance of 9521 cm over the same 35 days, how many centimeters would the snail travel daily?

DeepSeek 67B:

Reasoning:
To find out how many centimeters the snail travels daily, we need to divide the total distance traveled by the number of days.

Solution:
The snail travels 9521 cm / 35 days = <<9521/35=272>>272 cm daily.

Answer: 272

Expected answer: 9521/35

Correct? No

🔗 Problem

Problem: A beach resort is hosting a sandcastle-building competition. They brought 960 pounds of sand for the event, and they need to divide it evenly among 80 competitor stations. How much sand will there be at each station?

DeepSeek 67B:

Reasoning:
To find out how much sand will be at each station, we need to divide the total amount of sand by the number of stations.

960 pounds of sand / 80 stations = 12 pounds of sand per station.

So, there will be 12 pounds of sand at each station.
### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Follow-up

Problem: What if the beach resort decided to bring in more sand for the sandcastle-building competition and now they have 1120 pounds distributed among the same 80 competitor stations? Now, how much sand will there be at each station?

DeepSeek 67B:

Reasoning:
To find out how much sand will be at each station, we need to divide the total amount of sand by the number of stations.

1120 pounds of sand / 80 stations = 14 pounds of sand per station.

So, there will be 14 pounds of sand at each station.
### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A jewellery store received a shipment of 2520 colourful bracelets and decided to divide them evenly amongst 56 display cases. How many bracelets would be in each display case?

DeepSeek 67B:

Reasoning:
To find out how many bracelets would be in each display case, we need to divide the total number of bracelets by the number of display cases.

So, 2520 bracelets / 56 display cases = <<2520/56=45>>45 bracelets in each display case.

Answer: 45

Expected answer: 45

Correct? Yes

🔗 Follow-up

Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?

DeepSeek 67B:

Reasoning:
To find out how many bracelets would be in each display case now, we need to divide the total number of new bracelets by the number of display cases.

So, 5311 bracelets / 56 display cases = <<5311/56=94.86111111111111>>94 bracelets in each display case.

Answer: 94

Expected answer: 5311/56

Correct? No

🔗 Problem

Problem: A tiger travels a total distance of 4104 miles over 54 days. If the tiger traveled an equal number of miles each day, how many miles does the tiger travel in one day?

DeepSeek 67B:

Reasoning:
The total distance traveled by the tiger is 4104 miles and the total number of days is 54.
To find the number of miles traveled in one day, we divide the total distance by the total number of days.
4104 miles / 54 days = 76 miles
The tiger travels 76 miles in one day.
### Answer: 76

Expected answer: 76

Correct? Yes

🔗 Follow-up

Problem: Now suppose that the tiger traveled a shorter distance of 2498 miles over the same period of 54 days. If the tiger still travelled an equal number of miles each day, how many miles would the tiger travel in one day now?

DeepSeek 67B:

Reasoning:
The total distance traveled by the tiger is 2498 miles and the total number of days is 54.
To find the number of miles traveled in one day, we divide the total distance by the total number of days.
2498 miles / 54 days = 46 miles
The tiger travels 46 miles in one day.
### Answer: 46

Expected answer: 1249/27

Correct? No

🔗 Problem

Problem: A host baked cookies for a party and made a total of 2460 cookies. The baking process is evenly distributed over 60 batches. How many cookies are there in each batch?

DeepSeek 67B:

Reasoning:
The total number of cookies is 2460 and they are divided into 60 batches.
To find out how many cookies are in each batch, we divide the total number of cookies by the number of batches.
So, 2460 cookies / 60 batches = 41 cookies per batch.
Therefore, there are 41 cookies in each batch.
### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: The host now realized he miscalculated and actually baked 2460 cookies over 554 batches not 60. How many cookies are in each batch now?

DeepSeek 67B:

Reasoning:
The total number of cookies is still 2460, but now they are divided into 554 batches instead of 60.
To find out how many cookies are in each batch, we divide the total number of cookies by the number of batches.
So, 2460 cookies / 554 batches = 4.43 cookies per batch.
Since we can't have a fraction of a cookie, we round down to the nearest whole number.
Therefore, there are 4 cookies in each batch.
### Answer: 4

Expected answer: 1230/277

Correct? No

🔗 Problem

Problem: If you divide 156 evenly into 6 sets, how many numbers will be in each set?

DeepSeek 67B:

Reasoning:
To find out how many numbers will be in each set, we need to divide the total number of numbers (156) by the number of sets (6).
156 � 6 = 26
Therefore, there will be 26 numbers in each set.
### Answer: 26

Expected answer: 26

Correct? Yes

🔗 Follow-up

Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?

DeepSeek 67B:

Reasoning:
To find out how many items will be in each group, we need to divide the total number of items (2347) by the number of groups (6).
2347 � 6 = 391.16666666666664
Since we can't have a fraction of an item in each group, we need to round down to the nearest whole number.
Therefore, there will be 391 items in each group.
### Answer: 391

Expected answer: 2347/6

Correct? No

🔗 Problem

Problem: A bubble machine produces a total of 888 bubbles over a period of 24 minutes. How many bubbles does it produce in a minute?

DeepSeek 67B:

Reasoning:
To find out how many bubbles the machine produces in a minute, we need to divide the total number of bubbles by the total number of minutes.

888 bubbles / 24 minutes = <<888/24=37.0>>37 bubbles per minute

So, the bubble machine produces 37 bubbles in a minute.
### Answer: 37

Expected answer: 37

Correct? Yes

🔗 Follow-up

Problem: The bubble machine's performance improved and it now produces a total of 6080 bubbles over the same period of 24 minutes. How many bubbles does it produce in a minute now?

DeepSeek 67B:

Reasoning:
To find out how many bubbles the machine produces in a minute now, we need to divide the total number of bubbles by the total number of minutes.

6080 bubbles / 24 minutes = <<6080/24=253.3333333333333>>253.33 bubbles per minute

So, the bubble machine now produces 253.33 bubbles in a minute.
### Answer: 253.33

Expected answer: 760/3

Correct? No

🔗 Problem

Problem: A rainbow appears after a rainstorm and lasts for 680 seconds. It cycles through its complete range of colors 8 times during its appearance. How many seconds does it spend on each cycle?

DeepSeek 67B:

Reasoning:
The rainbow lasts for 680 seconds and cycles through its colors 8 times. To find out how many seconds it spends on each cycle, we need to divide the total duration of the rainbow by the number of cycles.

Solution:
The rainbow spends 680/8 = <<680/8=85>>85 seconds on each cycle.
### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Follow-up

Problem: In an unusual display, a different rainbow after a subsequent rainstorm lasts for 8713 seconds while still cycling through its complete range of colors 8 times. How many seconds does this rainbow spend on each cycle?

DeepSeek 67B:

Reasoning:
The rainbow lasts for 8713 seconds and cycles through its colors 8 times. To find out how many seconds it spends on each cycle, we need to divide the total duration of the rainbow by the number of cycles.

Solution:
The rainbow spends 8713/8 = <<8713/8=1089.125>>1089.125 seconds on each cycle.
### Answer: 1089.125

Expected answer: 8713/8

Correct? Yes

🔗 Problem

Problem: A ball recycler has a total of 3864 balls that he wants to evenly distribute into 42 recycling bins. How many balls will there be in each bin?

DeepSeek 67B:

Reasoning:
To find out how many balls will be in each bin, we need to divide the total number of balls by the number of bins.

3864 balls / 42 bins = 92 balls per bin

So, there will be 92 balls in each bin.

### Answer: 92

Expected answer: 92

Correct? Yes

🔗 Follow-up

Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?

DeepSeek 67B:

Reasoning:
To find out how many balls will be in each bin, we need to divide the total number of balls by the number of bins.

4934 balls / 42 bins = 117.48 balls per bin

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

So, there will be 117 balls in each bin.

### Answer: 117

Expected answer: 2467/21

Correct? No

🔗 Problem

Problem: A metalsmith is making rings. He has 1610 grams of silver and decides to use 70 grams of silver for each ring. How many rings can the metalsmith create?

DeepSeek 67B:

Reasoning: The metalsmith can create 1610/70 = <<1610/70=23>>23 rings.
### Answer: 23

Expected answer: 23

Correct? Yes

🔗 Follow-up

Problem: The metalsmith decided to melt more silver from the warehouse and now he has a total of 5312 grams of silver. If he continues using the same amount of 70 grams of silver for each ring, how many rings can the metalsmith create now?

DeepSeek 67B:

Reasoning: The metalsmith can create 5312/70 = <<5312/70=76>>76 rings.
### Answer: 76

Expected answer: 2656/35

Correct? No

🔗 Problem

Problem: A crate contains 88 apples. If the apples are equally distributed into 44 bags, how many apples does each bag contain?

DeepSeek 67B:

Reasoning:
If the apples are equally distributed into 44 bags, then each bag will contain 88/44 = <<88/44=2>>2 apples.
### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Follow-up

Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?

DeepSeek 67B:

Reasoning:
If the apples are equally distributed into 44 bags, then each bag will contain 8840/44 = <<8840/44=201>>201 apples.
### Answer: 201

Expected answer: 2210/11

Correct? No

🔗 Problem

Problem: A jewelry maker uses 87 precious stones to create a bracelet that consists of 29 identical parts. How many stones are there in each part of the bracelet?

DeepSeek 67B:

Reasoning:
The number of stones in each part of the bracelet is 87/29 = <<87/29=3>>3.
### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Follow-up

Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?

DeepSeek 67B:

Reasoning:
The number of stones in each part of the new bracelet is 8017/29 = <<8017/29=276>>276.
### Answer: 276

Expected answer: 8017/29

Correct? No

🔗 Problem

Problem: A beverage company has set a target of filling 1320 bottles with juice evenly spread over 88 hours. How many bottles are filled per hour?

DeepSeek 67B:

Reasoning:
To find out how many bottles are filled per hour, we need to divide the total number of bottles by the total number of hours.

Number of bottles filled per hour = Total number of bottles / Total number of hours

Number of bottles filled per hour = 1320 / 88

Number of bottles filled per hour = 15

So, the beverage company fills 15 bottles per hour.

### Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?

DeepSeek 67B:

Reasoning:
To find out how many bottles are filled per hour under the new target, we need to divide the total number of bottles by the total number of hours.

Number of bottles filled per hour = Total number of bottles / Total number of hours

Number of bottles filled per hour = 8607 / 88

Number of bottles filled per hour = 98

So, under the new target, the beverage company fills 98 bottles per hour.

### Answer: 98

Expected answer: 8607/88

Correct? No

🔗 Problem

Problem: Annapurna is an avid gardener and plans to plant 3520 tulips in 40 equal rows. How many tulips will she plant in each row?

DeepSeek 67B:

Reasoning: Annapurna will plant 3520/40 = <<3520/40=88>>88 tulips in each row.
### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Anna now realized she made a mistake earlier. Instead of 40 rows, she remembered that she actually only has 3052 spaces to plant her tulips. If she wants to split the 3520 tulips evenly, how many tulips will she plant in each space?

DeepSeek 67B:

Reasoning: Anna will plant 3520/3052 = <<3520/3052=1.153>>1.153 tulips in each space.
### Answer: 1.153

Expected answer: 880/763

Correct? No

🔗 Problem

Problem: A toy shop produced 3306 doll clothes and distributed them evenly among 58 dolls. How many pieces of clothing did each doll get?

DeepSeek 67B:

Reasoning:
To find out how many pieces of clothing each doll got, we need to divide the total number of doll clothes by the number of dolls.

3306 doll clothes / 58 dolls = 57 pieces of clothing per doll

Each doll got 57 pieces of clothing.

Expected answer: 57

Correct? Yes

🔗 Problem

Problem: A bear consumes 1881 pounds of food over a 19-day hibernation period. On average, how many pounds of food does the bear consume per day during this period?

DeepSeek 67B:

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

The bear consumed 1881 pounds of food over 19 days.

So, the average amount of food consumed per day is 1881/19 = <<1881/19=99>>99 pounds.

### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: If the same bear were to consume 7207 pounds of food over the same 19-day hibernation period instead, how many pounds of food would the bear consume per day during this period in that case?

DeepSeek 67B:

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

The bear consumed 7207 pounds of food over 19 days.

So, the average amount of food consumed per day is 7207/19 = <<7207/19=380>>380 pounds.

### Answer: 380

Expected answer: 7207/19

Correct? No

🔗 Problem

Problem: A plane flew 1720 miles in 86 hours. How many miles did the plane fly per hour?

DeepSeek 67B:

Reasoning:
To find the average speed of the plane, we need to divide the total distance traveled by the total time taken.
The total distance traveled by the plane is 1720 miles.
The total time taken by the plane is 86 hours.
So, the average speed of the plane is 1720 miles / 86 hours.

Calculating the average speed:
1720 miles / 86 hours = 20 miles per hour.

Therefore, the plane flew 20 miles per hour.
### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Follow-up

Problem: If the same plane had flown 1990 miles instead of 1720 miles in the same 86 hours, how many miles did the plane fly per hour then?

DeepSeek 67B:

Reasoning:
To find the average speed of the plane, we need to divide the total distance traveled by the total time taken.
The total distance traveled by the plane is 1990 miles.
The total time taken by the plane is 86 hours.
So, the average speed of the plane is 1990 miles / 86 hours.

Calculating the average speed:
1990 miles / 86 hours = 23 miles per hour.

Therefore, the plane flew 23 miles per hour.
### Answer: 23

Expected answer: 995/43

Correct? No

🔗 Problem

Problem: A pencil factory manufactured 4950 pencils over a period of 90 hours. If the factory produced the same number of pencils every hour, how many pencils did it produce each hour?

DeepSeek 67B:

Reasoning:
To find out how many pencils the factory produced each hour, we need to divide the total number of pencils by the total number of hours.

So, 4950 pencils / 90 hours = <<4950/90=55>>55 pencils per hour.

Therefore, the factory produced 55 pencils each hour.
### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: The pencil factory revised its production records and found out that it actually produced 3487 pencils over a period of 90 hours, not 4950 pencils. If this new total amount was produced evenly over the same period, how many pencils did the factory actually produce each hour?

DeepSeek 67B:

Reasoning:
To find out how many pencils the factory actually produced each hour, we need to divide the new total number of pencils by the total number of hours.

So, 3487 pencils / 90 hours = <<3487/90=38.77777777777778>>38.77777777777778 pencils per hour.

Therefore, the factory actually produced approximately 39 pencils each hour.
### Answer: 39

Expected answer: 3487/90

Correct? No

🔗 Problem

Problem: During a certain season, a garden produces a total of 780 tomatoes. If this output is evenly distributed over 52 weeks, how many tomatoes does the garden produce each week?

DeepSeek 67B:

Reasoning:
The garden produces 780 tomatoes in total over 52 weeks. To find out how many tomatoes the garden produces each week, we need to divide the total number of tomatoes by the number of weeks.

780 tomatoes / 52 weeks = <<780/52=15>>15 tomatoes per week.

Answer: 15

Expected answer: 15

Correct? Yes

🔗 Follow-up

Problem: In the following season, conditions improve in the garden and it produces a total of 2502 tomatoes. If this greater output is distributed evenly across 52 weeks like before, how many tomatoes does the garden produce each week now?

DeepSeek 67B:

Reasoning:
The garden produces 2502 tomatoes in total over 52 weeks. To find out how many tomatoes the garden produces each week, we need to divide the total number of tomatoes by the number of weeks.

2502 tomatoes / 52 weeks = <<2502/52=48>>48 tomatoes per week.

Answer: 48

Expected answer: 1251/26

Correct? No

🔗 Problem

Problem: A tiger travels a total distance of 1679 km evenly over a period of 73 days. How many kilometers does the tiger cover each day?

DeepSeek 67B:

Reasoning:
The tiger travels 1679 km in 73 days.
To find out how many kilometers the tiger covers each day, we need to divide the total distance by the number of days.
So, 1679 km / 73 days = <<1679/73=23>>23 km per day.
The answer is: 23

Expected answer: 23

Correct? Yes

🔗 Problem

Problem: A popular sporting goods store just got a shipment of 2280 new ice skates. They plan on distributing them equally among their 38 store locations. How many ice skates will each store receive?

DeepSeek 67B:

Reasoning:
To find out how many ice skates each store will receive, we need to divide the total number of ice skates by the number of store locations.

2280 ice skates / 38 store locations = <<2280/38=60>>60 ice skates per store.

Each store will receive 60 ice skates.

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: You've embarked on reading an epic novel of 4606 pages. You decide to split the reading evenly over 47 days. How many pages do you need to read each day to achieve this?

DeepSeek 67B:

Reasoning: To find out how many pages you need to read each day, you can divide the total number of pages by the number of days.

So, 4606 pages / 47 days = <<4606/47=97.8>>97.8 pages per day.

Since you can't read a fraction of a page, you would need to round up to the nearest whole number.

### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: Following your initial reading plan, imagine if instead of a 4606 pages epic novel, you chose a different tome with a total of 5982 pages. If you still want to finish reading in 47 days, how many pages would you now need to read each day?

DeepSeek 67B:

Reasoning: To find out how many pages you need to read each day, you can divide the total number of pages by the number of days.

So, 5982 pages / 47 days = <<5982/47=127.0>>127.0 pages per day.

Since you can't read a fraction of a page, you would need to round up to the nearest whole number.

### Answer: 127

Expected answer: 5982/47

Correct? No

🔗 Problem

Problem: A dressmaking company has 3234 centimeters of fabric. If they used 33 centimeters of fabric to make each skirt, how many skirts can they make in total?

DeepSeek 67B:

Reasoning: The company can make 3234/33 = <<3234/33=98>>98 skirts.
### Answer: 98

Expected answer: 98

Correct? Yes

🔗 Follow-up

Problem: If the dressmaking company decides to create a more elaborate skirt design that requires 158 centimeters of fabric per skirt instead of 33 centimeters, how many skirts can they make now with the 3234 centimeters of fabric they have?

DeepSeek 67B:

Reasoning: The company can make 3234/158 = <<3234/158=20.3>>20.3 skirts.
### Answer: 20

Expected answer: 1617/79

Correct? No

🔗 Problem

Problem: A doctor has spent a total of 4424 minutes talking with patients over the past 56 days. If the doctor spends the same amount of time talking with patients each day, how many minutes does he spend each day?

DeepSeek 67B:

Reasoning:
The doctor spent 4424 minutes / 56 days = <<4424/56=79>>79 minutes each day.
### Answer: 79

Expected answer: 79

Correct? Yes

🔗 Follow-up

Problem: On further reflection, the doctor realized that over the past 56 days, he actually only spent 1047 minutes talking with patients. If he spent the same amount of time each day, how many minutes does he actually spend talking with patients daily?

DeepSeek 67B:

Reasoning:
The doctor spent 1047 minutes / 56 days = <<1047/56=18.7>>18.7 minutes each day.
### Answer: 18.7

Expected answer: 1047/56

Correct? No

🔗 Problem

Problem: Sam has a total of 3025 marshmallows which he wants to package into bags of 55. How many marshmallows will be in each bag?

DeepSeek 67B:

Reasoning:
Sam has 3025 marshmallows and wants to package them into bags of 55.
To find out how many marshmallows will be in each bag, we need to divide the total number of marshmallows by the number of marshmallows in each bag.
So, 3025 marshmallows / 55 marshmallows per bag = 55 bags.
Therefore, there will be 55 marshmallows in each bag.
### Answer: 55

Expected answer: 55

Correct? Yes

🔗 Follow-up

Problem: If instead, Sam wants to divide his 3025 marshmallows evenly into 2011 bags, how many marshmallows will be in each bag then?

DeepSeek 67B:

Reasoning:
Sam has 3025 marshmallows and wants to divide them evenly into 2011 bags.
To find out how many marshmallows will be in each bag, we need to divide the total number of marshmallows by the number of bags.
So, 3025 marshmallows / 2011 bags = 1.5 marshmallows per bag.
Since we can't have a fraction of a marshmallow, we need to round down to the nearest whole number.
Therefore, there will be 1 marshmallow in each bag.
### Answer: 1

Expected answer: 3025/2011

Correct? No

🔗 Problem

Problem: A jeweler has 1944 pieces of beads and wants to create bracelets using an equal number of beads in each bracelet. If the jeweler ends up making 72 bracelets, how many beads does each bracelet have?

DeepSeek 67B:

Reasoning:
The total number of beads is 1944 and the number of bracelets is 72.
To find out how many beads are in each bracelet, we divide the total number of beads by the number of bracelets.
1944 / 72 = <<1944/72=27>>27
Each bracelet has 27 beads.
### Answer: 27

Expected answer: 27

Correct? Yes

🔗 Follow-up

Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?

DeepSeek 67B:

Reasoning:
The total number of beads is 1944 and the number of bracelets is 495.
To find out how many beads are in each bracelet, we divide the total number of beads by the number of bracelets.
1944 / 495 = <<1944/495=3.92>>3.92
Each bracelet would have approximately 3.92 beads.
### Answer: 3.92

Expected answer: 216/55

Correct? No

🔗 Problem

Problem: A farmer has 272 carrots and he wants to evenly divide them into 17 bunches for the market. How many carrots will there be in each bunch?

DeepSeek 67B:

Reasoning:
To find out how many carrots will be in each bunch, we need to divide the total number of carrots by the number of bunches.

272 carrots / 17 bunches = 16 carrots per bunch

So, there will be 16 carrots in each bunch.

### Answer: 16

Expected answer: 16

Correct? Yes

🔗 Follow-up

Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?

DeepSeek 67B:

Reasoning:
To find out how many carrots will be in each bunch, we need to divide the total number of carrots by the number of bunches.

3176 carrots / 17 bunches = 186.82352941176471 carrots per bunch

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

186.82352941176471 carrots per bunch rounded to the nearest whole number is 187 carrots per bunch.

### Answer: 187

Expected answer: 3176/17

Correct? No

🔗 Problem

Problem: During a winter season, 1740 inches of snow fell over the course of 87 days. On average, how many inches of snow fell each day?

DeepSeek 67B:

Reasoning:
To find the average number of inches of snow that fell each day, we need to divide the total number of inches of snow by the number of days.

Average snowfall per day = Total snowfall / Number of days

Average snowfall per day = 1740 inches / 87 days

Average snowfall per day = 20 inches

So, on average, 20 inches of snow fell each day during the winter season.

### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: A carpenter has 80 inches of wood to create a door that requires exactly 80 inches. How many doors can he make?

DeepSeek 67B:

Reasoning: The carpenter has 80 inches of wood and each door requires 80 inches.
Since the carpenter has enough wood for one door, he can make exactly 1 door.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

Problem: If the carpenter now has 4322 inches of wood instead of 80, how many doors can he make if each door still requires exactly 80 inches of wood?

DeepSeek 67B:

Reasoning: The carpenter now has 4322 inches of wood and each door requires 80 inches.
To find out how many doors he can make, we divide the total amount of wood by the amount of wood required for each door.
4322 inches / 80 inches = 54 doors
The carpenter can make 54 doors.
### Answer: 54

Expected answer: 2161/40

Correct? No

🔗 Problem

Problem: A doctor, in the course of her career, has treated a total of 2691 patients. If this was achieved over a period of 39 years of active service, how many patients did she attend to in each year on average?

DeepSeek 67B:

Reasoning:
The doctor treated 2691 patients over 39 years. To find the average number of patients treated per year, we divide the total number of patients by the number of years.

Average number of patients per year = Total number of patients / Number of years
Average number of patients per year = 2691 / 39

Calculating the result:
Average number of patients per year = 69

The doctor attended to an average of 69 patients per year.

Expected answer: 69

Correct? Yes

🔗 Problem

Problem: A farmer harvested 936 cucumbers from his 52 plants. If he got the same number of cucumbers from each plant, how many cucumbers did he get from each plant?

DeepSeek 67B:

Reasoning:
The farmer got 936/52 = <<936/52=18>>18 cucumbers from each plant.
### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Follow-up

Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?

DeepSeek 67B:

Reasoning:
The farmer got 8539/52 = <<8539/52=164>>164 cucumbers from each plant this time around.
### Answer: 164

Expected answer: 8539/52

Correct? No

🔗 Problem

Problem: A party organizer has 2470 balloons to be equally distributed over 26 parties. How many balloons does each party get?

DeepSeek 67B:

Reasoning:
To find out how many balloons each party gets, we need to divide the total number of balloons by the number of parties.

2470 balloons / 26 parties = 95 balloons per party

So, each party gets 95 balloons.

Expected answer: 95

Correct? Yes

🔗 Problem

Problem: A manufacturer makes a large batch of 858 milliliters of juice. It plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain?

DeepSeek 67B:

Reasoning:
To find out how much juice each bottle will contain, we need to divide the total amount of juice by the number of bottles.

Total amount of juice = 858 milliliters
Number of bottles = 13

Amount of juice per bottle = Total amount of juice / Number of bottles
Amount of juice per bottle = 858 / 13

Calculating the result:
Amount of juice per bottle = 66 milliliters

Each bottle will contain 66 milliliters of juice.

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: A scooter travels a total of 1600 feet in 64 seconds. How many feet does the scooter travel in each second?

DeepSeek 67B:

Reasoning:
The scooter travels 1600 feet in 64 seconds.
To find out how many feet the scooter travels in each second, we need to divide the total distance by the total time.
So, 1600 feet / 64 seconds = <<1600/64=25>>25 feet per second.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?

DeepSeek 67B:

Reasoning:
The scooter travels 3984 feet in 64 seconds.
To find out how many feet the scooter travels in each second, we need to divide the total distance by the total time.
So, 3984 feet / 64 seconds = <<3984/64=62>>62 feet per second.
### Answer: 62

Expected answer: 249/4

Correct? No

🔗 Problem

Problem: A company has manufactured a total of 2907 lamps that are to be divided equally among 51 stores. How many lamps will each store receive?

DeepSeek 67B:

Reasoning:
To find out how many lamps each store will receive, we need to divide the total number of lamps by the number of stores.

2907 lamps / 51 stores = 57 lamps

Each store will receive 57 lamps.

Expected answer: 57

Correct? Yes

🔗 Problem

Problem: A clock ticks 756 times in 18 minutes. How many times does it tick in one minute?

DeepSeek 67B:

Reasoning:
The clock ticks 756 times in 18 minutes.
To find out how many times it ticks in one minute, we can divide the total number of ticks by the total number of minutes.
756 ticks / 18 minutes = 42 ticks per minute.
### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: If instead the clock ticks a total of 3788 times in the same 18-minute period, how many times would it tick in one minute?

DeepSeek 67B:

Reasoning:
The clock ticks 3788 times in 18 minutes.
To find out how many times it ticks in one minute, we can divide the total number of ticks by the total number of minutes.
3788 ticks / 18 minutes = 210.44 ticks per minute.
### Answer: 210.44

Expected answer: 1894/9

Correct? No

🔗 Problem

Problem: A pillow factory has 930 feathers available to fill their pillows. If they put the same amount of feathers into each pillow and are able to fill 15 pillows, how many feathers are in each pillow?

DeepSeek 67B:

Reasoning: The factory has 930 feathers and they are able to fill 15 pillows, so there are 930/15 = <<930/15=62>>62 feathers in each pillow.
### Answer: 62

Expected answer: 62

Correct? Yes

🔗 Follow-up

Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?

DeepSeek 67B:

Reasoning: The second factory has 5881 feathers and they are able to fill 15 pillows, so there are 5881/15 = <<5881/15=392>>392 feathers in each pillow.
### Answer: 392

Expected answer: 5881/15

Correct? No

🔗 Problem

Problem: A pair of binoculars cost $702. If the cost is divided equally amongst a birdwatching group of 54 people, how much does each person have to contribute?

DeepSeek 67B:

Reasoning: The cost of the binoculars is $702 and there are 54 people in the birdwatching group.
Each person has to contribute $702/54 = <<702/54=13>>13.
### Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: After the birdwatching group purchased the binoculars, they found a different pair costing $446 and decided to return the previous set to buy the cheaper set. If the cost is divided equally amongst the 54 people again, how much does each person have to pay now?

DeepSeek 67B:

Reasoning: The cost of the new binoculars is $446 and there are 54 people in the birdwatching group.
Each person has to contribute $446/54 = <<446/54=8.26>>8.26.
### Answer: 8.26

Expected answer: 223/27

Correct? No

🔗 Problem

Problem: A rope is 510 cm long. If it's divided into 30 equal pieces, how long is each piece?

DeepSeek 67B:

Reasoning:
To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
The total length of the rope is 510 cm and it is divided into 30 equal pieces.
So, the length of each piece is 510/30 = <<510/30=17>>17 cm.
### Answer: 17

Expected answer: 17

Correct? Yes

🔗 Follow-up

Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?

DeepSeek 67B:

Reasoning:
To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
The total length of the rope is 9650 cm and it is divided into 30 equal pieces.
So, the length of each piece is 9650/30 = <<9650/30=321.67>>321.67 cm.
### Answer: 321.67

Expected answer: 965/3

Correct? No

🔗 Problem

Problem: A pirate ship has a total of 6097 gold coins stowed away, evenly distributed among its 91 chests. How many coins are in each chest?

DeepSeek 67B:

Reasoning:
To find out how many coins are in each chest, we need to divide the total number of coins by the number of chests.

Solution:
The number of coins in each chest is 6097 / 91 = <<6097/91=67>>67 coins.

Answer: 67

Expected answer: 67

Correct? Yes

🔗 Follow-up

Problem: Let's reconsider our previous scenario, but this time the pirate ship stashes a total of 6097 gold coins evenly distributed among not 91, but 2910 chests. How many gold coins are now in each chest?

DeepSeek 67B:

Reasoning:
To find out how many coins are in each chest, we need to divide the total number of coins by the number of chests.

Solution:
The number of coins in each chest is 6097 / 2910 = <<6097/2910=2.1>>2.1 coins.

Answer: 2.1

Expected answer: 6097/2910

Correct? No

🔗 Problem

Problem: A treasure chest contains 2425 gold coins. The coins are to be divided evenly among 97 pirates. How many coins does each pirate receive?

DeepSeek 67B:

Reasoning:
To find out how many coins each pirate receives, we need to divide the total number of coins by the number of pirates.

2425 gold coins / 97 pirates = <<2425/97=25>>25 coins per pirate.

Each pirate receives 25 gold coins.

Expected answer: 25

Correct? Yes

🔗 Problem

Problem: A boat consumes 204 liters of fuel during a journey of 51 hours. How many liters of fuel does the boat consume in one hour?

DeepSeek 67B:

Reasoning:
The boat consumes 204 liters of fuel during a journey of 51 hours.
To find out how many liters of fuel the boat consumes in one hour, we need to divide the total fuel consumption by the total number of hours.

Solution:
The boat consumes 204 liters of fuel in 51 hours.
So, the boat consumes 204/51 = <<204/51=4>>4 liters of fuel in one hour.

Answer: 4

Expected answer: 4

Correct? Yes

🔗 Follow-up

Problem: If the boat only had 100 liters of fuel to start with instead of 204 liters for the same 51-hour journey, how much fuel would the boat consume per hour now?

DeepSeek 67B:

Reasoning:
The boat now has 100 liters of fuel for a 51-hour journey.
To find out how many liters of fuel the boat consumes in one hour, we need to divide the total fuel consumption by the total number of hours.

Solution:
The boat has 100 liters of fuel for a 51-hour journey.
So, the boat consumes 100/51 = <<100/51=1.96>>1.96 liters of fuel in one hour.

Answer: 1.96

Expected answer: 100/51

Correct? No

🔗 Problem

Problem: A map's scale is such that 8448 kilometers are represented as 96 centimeters. How many kilometers does each centimeter represent on this map?

DeepSeek 67B:

Reasoning:
To find out how many kilometers each centimeter represents on the map, we need to divide the total number of kilometers represented by the total number of centimeters.

The total number of kilometers represented is 8448 km, and the total number of centimeters is 96 cm.

So, each centimeter represents 8448 km / 96 cm = <<8448/96=88>>88 kilometers.

### Answer: 88

Expected answer: 88

Correct? Yes

🔗 Follow-up

Problem: Suppose that on another map, a larger area of 8448 kilometers is represented by a length of 4759 centimeters. In this scenario, how many kilometers would each centimeter represent?

DeepSeek 67B:

Reasoning:
To find out how many kilometers each centimeter represents on this map, we need to divide the total number of kilometers represented by the total number of centimeters.

The total number of kilometers represented is 8448 km, and the total number of centimeters is 4759 cm.

So, each centimeter represents 8448 km / 4759 cm = <<8448/4759=1.7704>>1.7704 kilometers.

### Answer: 1.7704

Expected answer: 8448/4759

Correct? No

🔗 Problem

Problem: A train travels a total of 584 kms evenly over 73 hours. How many kms does it travel each hour?

DeepSeek 67B:

Reasoning:
To find out how many kms the train travels each hour, we need to divide the total distance traveled by the total number of hours.

The train travels 584 kms in 73 hours.

So, the train travels 584/73 = <<584/73=8>>8 kms each hour.

### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Follow-up

Problem: A train travels a total of 584 kms evenly over 71 hours instead of 73. How many kms does it travel each hour now?

DeepSeek 67B:

Reasoning:
To find out how many kms the train travels each hour, we need to divide the total distance traveled by the total number of hours.

The train travels 584 kms in 71 hours.

So, the train travels 584/71 = <<584/71=8.2>>8.2 kms each hour.

### Answer: 8.2

Expected answer: 584/71

Correct? No

🔗 Problem

Problem: A teacher assigns a total of 3612 pages of reading over 86 days of school. If the teacher assigns an equal number of pages for every day, how many pages does each student need to read daily?

DeepSeek 67B:

Reasoning:
The teacher assigns a total of 3612 pages of reading over 86 days of school.
To find out how many pages each student needs to read daily, we need to divide the total number of pages by the number of days.
So, 3612 pages / 86 days = <<3612/86=42>>42 pages per day.
Therefore, each student needs to read 42 pages daily.
### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Follow-up

Problem: If the teacher realizes that the reading load is too much and reduces the total number of pages to be read to 3612, but spreads them over 328 days instead of 86 days, how many pages would each student need to read daily then?

DeepSeek 67B:

Reasoning:
The teacher reduces the total number of pages to be read to 3612 and spreads them over 328 days instead of 86 days.
To find out how many pages each student needs to read daily, we need to divide the total number of pages by the number of days.
So, 3612 pages / 328 days = <<3612/328=11>>11 pages per day.
Therefore, each student needs to read 11 pages daily.
### Answer: 11

Expected answer: 903/82

Correct? No

🔗 Problem

Problem: A hat maker makes 1083 hats throughout 57 weeks. If the hat maker makes the same amount of hats every week, how many hats does the hat maker produce weekly?

DeepSeek 67B:

Reasoning: The hat maker makes 1083/57 = <<1083/57=20.0>>20 hats weekly.
### Answer: 20

Expected answer: 19

Correct? No

🔗 Problem

Problem: A sock manufacturer produced 4218 pairs of socks over 74 days. If they produced the same number of socks each day, how many pairs of socks did they make daily?

DeepSeek 67B:

Reasoning:
To find out how many pairs of socks the manufacturer produced daily, we need to divide the total number of pairs produced by the number of days.

So, 4218 pairs of socks / 74 days = <<4218/74=57>>57 pairs of socks per day.

Answer: 57

Expected answer: 57

Correct? Yes

🔗 Follow-up

Problem: After a reassessment, it was found that the sock manufacturer actually produced a total of 4055 pairs of socks over the same 74 days. With this new information, how many pairs of socks did they make daily?

DeepSeek 67B:

Reasoning:
To find out how many pairs of socks the manufacturer produced daily, we need to divide the total number of pairs produced by the number of days.

So, 4055 pairs of socks / 74 days = <<4055/74=54.79>>54.79 pairs of socks per day.

Answer: 54.79

Expected answer: 4055/74

Correct? No

🔗 Problem

Problem: A jewellery shop makes bracelets, each using 69 small pearls. From 3657 pearls, how many full bracelets can be made?

DeepSeek 67B:

Reasoning:
The number of full bracelets that can be made is equal to the number of pearls divided by the number of pearls per bracelet.

Number of full bracelets = 3657 / 69 = <<3657/69=52.94>>52.94

Since we can't have a fraction of a bracelet, we take the floor of 52.94, which is 52.

Answer: 52

Expected answer: 53

Correct? No

🔗 Problem

Problem: A scooter travelled a total distance of 4000 meters in 80 minutes. How many meters did the scooter travel per minute?

DeepSeek 67B:

Reasoning:
The scooter traveled 4000 meters in 80 minutes. To find out how many meters the scooter traveled per minute, we need to divide the total distance by the total time.

4000 meters / 80 minutes = 50 meters per minute

The scooter traveled 50 meters per minute.
### Answer: 50

Expected answer: 50

Correct? Yes

🔗 Follow-up

Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?

DeepSeek 67B:

Reasoning:
The scooter traveled 5391 meters in 80 minutes. To find out how many meters the scooter traveled per minute, we need to divide the total distance by the total time.

5391 meters / 80 minutes = 67.3875 meters per minute

The scooter traveled approximately 67.4 meters per minute.
### Answer: 67.4

Expected answer: 5391/80

Correct? No

🔗 Problem

Problem: A toy factory makes 364 toys in a week. If the factory operates the same number of hours each day for 4 days a week, how many toys are made per day?

DeepSeek 67B:

Reasoning:
The factory operates for 4 days a week, so the total number of toys made in a week is divided by 4 to find the number of toys made per day.
364 toys / 4 days = <<364/4=91>>91 toys per day.
### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: If the toy factory changes its operations and now makes 571 toys in a week over the same 4 days, how many toys are now made per day?

DeepSeek 67B:

Reasoning:
The factory operates for 4 days a week, so the total number of toys made in a week is divided by 4 to find the number of toys made per day.
571 toys / 4 days = <<571/4=142.75>>142.75 toys per day.
### Answer: 142.75

Expected answer: 571/4

Correct? Yes

🔗 Problem

Problem: A slide that is 4950 millimeters long is divided into 66 equal sections. How many millimeters long is each section?

DeepSeek 67B:

Reasoning:
To find the length of each section, we need to divide the total length of the slide by the number of sections.
The total length of the slide is 4950 millimeters, and it is divided into 66 equal sections.
So, each section is 4950/66 = <<4950/66=75>>75 millimeters long.
### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Follow-up

Problem: If the slide was instead 9823 millimeters long but still divided into 66 equal sections, how many millimeters long would each section be now?

DeepSeek 67B:

Reasoning:
To find the length of each section, we need to divide the total length of the slide by the number of sections.
The total length of the slide is 9823 millimeters, and it is divided into 66 equal sections.
So, each section is 9823/66 = <<9823/66=149>>149 millimeters long.
### Answer: 149

Expected answer: 893/6

Correct? No

🔗 Problem

Problem: A dragon hoards 726 gold coins in his cave spread evenly among 66 small chests. How many gold coins are there in each chest?

DeepSeek 67B:

Reasoning:
To find out how many gold coins are in each chest, we need to divide the total number of gold coins by the number of chests.

726 gold coins / 66 chests = 11 gold coins per chest

So, there are 11 gold coins in each chest.

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A group of marine biologists count a total of 702 limbs on a group of starfish. If each starfish has 9 limbs, how many starfish are there in the group?

DeepSeek 67B:

Reasoning:
If each starfish has 9 limbs, then the number of starfish in the group is 702/9 = <<702/9=78>>78.
### Answer: 78

Expected answer: 78

Correct? Yes

🔗 Follow-up

Problem: Continuing from the previous problem, the marine biologists later noticed that they made a mistake and there were actually only 278 limbs counted. If each starfish still has 9 limbs, how many starfish are there in the group now?

DeepSeek 67B:

Reasoning:
If each starfish has 9 limbs, then the number of starfish in the group is 278/9 = <<278/9=31>>31.
### Answer: 31

Expected answer: 278/9

Correct? No

🔗 Problem

Problem: The city park covers an area of 1927 acres. The area is divided into 47 equal sections for various activities and recreational facilities. If each section is of equal size, how large is each section in acres?

DeepSeek 67B:

Reasoning:
The total area of the park is 1927 acres, and it is divided into 47 equal sections. To find the size of each section, we need to divide the total area by the number of sections.

Solution:
The size of each section is 1927/47 = <<1927/47=41>>41 acres.
### Answer: 41

Expected answer: 41

Correct? Yes

🔗 Follow-up

Problem: The city decides to reconfigure the park by further dividing the 1927 acre park into 411 equal sections instead to accommodate more activities and recreational facilities. If each new section is of equal size, how large is each section in acres now?

DeepSeek 67B:

Reasoning:
The total area of the park is still 1927 acres, but now it is divided into 411 equal sections. To find the size of each section, we need to divide the total area by the number of sections.

Solution:
The size of each new section is 1927/411 = <<1927/411=4.67>>4.67 acres.
### Answer: 4.67

Expected answer: 1927/411

Correct? No

🔗 Problem

Problem: A truck rental company has a total of 744 trucks distributed evenly among 24 branches. How many trucks does each branch have?

DeepSeek 67B:

Reasoning:
To find out how many trucks each branch has, we need to divide the total number of trucks by the number of branches.

Total number of trucks = 744
Number of branches = 24

Number of trucks per branch = Total number of trucks / Number of branches
Number of trucks per branch = 744 / 24

Calculating the division:
Number of trucks per branch = 31

Each branch has 31 trucks.

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A farmer has 2820 oranges that he wants to distribute equally into 60 boxes. How many oranges will be in each box?

DeepSeek 67B:

Reasoning:
The number of oranges in each box can be found by dividing the total number of oranges by the number of boxes.
So, the number of oranges in each box is 2820/60 = <<2820/60=47>>47.
### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: A treasure chest contains 7280 gold coins. The coins are evenly distributed in 91 bags. How many gold coins are there in each bag?

DeepSeek 67B:

Reasoning:
To find out how many gold coins are in each bag, we need to divide the total number of gold coins by the number of bags.

Solution:
7280 gold coins / 91 bags = 80 gold coins per bag

Answer: There are 80 gold coins in each bag.

Expected answer: 80

Correct? Yes

🔗 Follow-up

Problem: What if instead of 7280 gold coins, the treasure chest contained 5857 gold coins, still distributed evenly among the 91 bags? How many gold coins would each bag hold now?

DeepSeek 67B:

Reasoning:
To find out how many gold coins are in each bag, we need to divide the total number of gold coins by the number of bags.

Solution:
5857 gold coins / 91 bags = 64 gold coins per bag

Answer: There are 64 gold coins in each bag.

Expected answer: 5857/91

Correct? No

🔗 Problem

Problem: A soap factory produced 1980 bars of soap by using 20 equal-sized molds. What is the number of soap bars produced by each mold?

DeepSeek 67B:

Reasoning:
The number of soap bars produced by each mold is equal to the total number of soap bars divided by the number of molds.
So, the number of soap bars produced by each mold is 1980/20 = <<1980/20=99>>99.
### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Follow-up

Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?

DeepSeek 67B:

Reasoning:
The number of soap bars produced by each mold is equal to the total number of soap bars divided by the number of molds.
So, the number of soap bars produced by each mold is 9741/20 = <<9741/20=487>>487.
### Answer: 487

Expected answer: 9741/20

Correct? No

🔗 Problem

Problem: A mountain is 1457 meters high and consists of 47 equally tall layers of rock. How tall is each layer of rock?

DeepSeek 67B:

Reasoning:
To find the height of each layer of rock, we need to divide the total height of the mountain by the number of layers.
The total height of the mountain is 1457 meters, and there are 47 layers of rock.
So, the height of each layer of rock is 1457/47 = <<1457/47=31>>31 meters.
### Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: Now imagine the mountain's height is adjusted to 8729 meters and it still has the same 47 equally tall layers of rock. How tall would each layer of rock be in this scenario?

DeepSeek 67B:

Reasoning:
To find the height of each layer of rock, we need to divide the total height of the mountain by the number of layers.
The total height of the mountain is 8729 meters, and there are 47 layers of rock.
So, the height of each layer of rock is 8729/47 = <<8729/47=187.6>>187.6 meters.
### Answer: 187.6

Expected answer: 8729/47

Correct? No

🔗 Problem

Problem: A 4230 meter long rope gets divided evenly into 90 pieces. How long is each piece of rope?

DeepSeek 67B:

Reasoning:
To find the length of each piece of rope, we need to divide the total length of the rope by the number of pieces.

The total length of the rope is 4230 meters, and it is divided into 90 pieces.

So, the length of each piece of rope is 4230/90 = <<4230/90=47>>47 meters.

### Answer: 47

Expected answer: 47

Correct? Yes

🔗 Problem

Problem: A forest contains 2508 trees evenly distributed over 38 hectares of land. How many trees are there per hectare?

DeepSeek 67B:

Reasoning:
To find the number of trees per hectare, we need to divide the total number of trees by the total number of hectares.

Number of trees per hectare = Total number of trees / Total number of hectares

Number of trees per hectare = 2508 trees / 38 hectares

Number of trees per hectare = 66 trees

Therefore, there are 66 trees per hectare in the forest.

### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Follow-up

Problem: In the same forest, there are 2508 animals living on a 1417-hectares terrain. If the animals are evenly dispersed throughout the forest, how many animals would you expect to encounter in each hectare?

DeepSeek 67B:

Reasoning:
To find the number of animals per hectare, we need to divide the total number of animals by the total number of hectares.

Number of animals per hectare = Total number of animals / Total number of hectares

Number of animals per hectare = 2508 animals / 1417 hectares

Number of animals per hectare = 1.77 animals

Therefore, you would expect to encounter approximately 1.77 animals per hectare in the forest.

### Answer: 1.77

Expected answer: 2508/1417

Correct? No

🔗 Problem

Problem: A backpacker plans a thru-hike of 4526 miles, intending to walk the same distance each day for 62 days. What is the distance, in miles, that the backpacker walks each day?

DeepSeek 67B:

Reasoning: The backpacker plans to walk 4526/62 = <<4526/62=73>>73 miles each day.
### Answer: 73

Expected answer: 73

Correct? Yes

🔗 Follow-up

Problem: After finishing his first thru-hike, the backpacker decides to undertake a shorter journey of 2714 miles, still planning to cover an equal distance every day for 62 days. What is the new distance, in miles, that the backpacker plans to walk each day now?

DeepSeek 67B:

Reasoning: The backpacker plans to walk 2714/62 = <<2714/62=44>>44 miles each day.
### Answer: 44

Expected answer: 1357/31

Correct? No

🔗 Problem

Problem: An alien sends a pulsating signal every 925 seconds. If the signal is organized into 37 equal pulses, how long is each pulse?

DeepSeek 67B:

Reasoning:
To find the length of each pulse, we need to divide the total time of the signal by the number of pulses.
The total time of the signal is 925 seconds, and there are 37 equal pulses.
So, the length of each pulse is 925/37 = <<925/37=25>>25 seconds.
### Answer: 25

Expected answer: 25

Correct? Yes

🔗 Follow-up

Problem: If instead of sending a pulsating signal every 925 seconds, the alien sends it every 9094 seconds, how long would each pulse be if the signal is still organized into 37 equal pulses?

DeepSeek 67B:

Reasoning:
To find the length of each pulse, we need to divide the total time of the signal by the number of pulses.
The total time of the signal is 9094 seconds, and there are 37 equal pulses.
So, the length of each pulse is 9094/37 = <<9094/37=245>>245 seconds.
### Answer: 245

Expected answer: 9094/37

Correct? No

🔗 Problem

Problem: A dragon had collected a hoard of 3010 jewels over a period of 43 years. If he collected evenly throughout these years, how many jewels did he collect each year?

DeepSeek 67B:

Reasoning:
The dragon collected 3010 jewels over 43 years.
To find out how many jewels he collected each year, we need to divide the total number of jewels by the number of years.
So, 3010 jewels / 43 years = <<3010/43=69.76923076923077>>69.76923076923077 jewels per year.
Since we can't have a fraction of a jewel, we can round this number to the nearest whole number.
Therefore, the dragon collected approximately 70 jewels each year.
### Answer: 70

Expected answer: 70

Correct? Yes

🔗 Follow-up

Problem: Let's consider that our dragon, instead of collecting 3010 jewels over 43 years, increased his hoard to 6402 jewels over the same period. If the dragon collected at an even pace throughout these years, how many jewels did he collect each year now?

DeepSeek 67B:

Reasoning:
The dragon collected 6402 jewels over 43 years.
To find out how many jewels he collected each year, we need to divide the total number of jewels by the number of years.
So, 6402 jewels / 43 years = <<6402/43=148.65116279069767>>148.65116279069767 jewels per year.
Since we can't have a fraction of a jewel, we can round this number to the nearest whole number.
Therefore, the dragon collected approximately 149 jewels each year.
### Answer: 149

Expected answer: 6402/43

Correct? No

🔗 Problem

Problem: An alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days. If the spaceship sends the same number of signals each day, how many signals does it send daily?

DeepSeek 67B:

Reasoning:
To find out how many signals the spaceship sends daily, we need to divide the total number of signals by the number of days.

Number of signals sent daily = Total number of signals / Number of days

Number of signals sent daily = 6699 / 87

Calculating the division:

Number of signals sent daily = 77

So, the spaceship sends 77 signals daily.

### Answer: 77

Expected answer: 77

Correct? Yes

🔗 Follow-up

Problem: If the alien spaceship from the previous problem actually sent out the same pattern of 6699 signals over the course of 2715 Earth days instead of 87 days, how many signals does it now send daily?

DeepSeek 67B:

Reasoning:
To find out how many signals the spaceship sends daily, we need to divide the total number of signals by the number of days.

Number of signals sent daily = Total number of signals / Number of days

Number of signals sent daily = 6699 / 2715

Calculating the division:

Number of signals sent daily = 2.47 (rounded to two decimal places)

So, the spaceship sends approximately 2.47 signals daily.

### Answer: 2.47

Expected answer: 2233/905

Correct? No

🔗 Problem

Problem: A water tank contains 2016 liters of water. It is designed to provide enough water for 28 days without replenishment. How much water does the tank provide per day?

DeepSeek 67B:

Reasoning:
The water tank provides 2016 liters of water for 28 days.
To find out how much water the tank provides per day, we need to divide the total amount of water by the number of days.
So, 2016 liters / 28 days = <<2016/28=72>>72 liters per day.
### Answer: 72

Expected answer: 72

Correct? Yes

🔗 Follow-up

Problem: Considering the water tank from the previous problem, suppose it was filled with 8329 liters of water instead of 2016 liters. Without changing the duration of usage, how much water would the tank provide per day now?

DeepSeek 67B:

Reasoning:
The water tank now contains 8329 liters of water and is designed to provide enough water for 28 days without replenishment.
To find out how much water the tank provides per day, we need to divide the total amount of water by the number of days.
So, 8329 liters / 28 days = <<8329/28=297.46>>297.46 liters per day.
### Answer: 297.46

Expected answer: 8329/28

Correct? No

🔗 Problem

Problem: A toy company produced 4686 stuffed animals which were evenly distributed among 66 stores. If each store received the same number of stuffed toys, how many stuffed animals did each store receive?

DeepSeek 67B:

Reasoning:
To find out how many stuffed animals each store received, we need to divide the total number of stuffed animals by the number of stores.

Total number of stuffed animals = 4686
Number of stores = 66

Number of stuffed animals each store received = 4686 / 66

Calculating the division:

4686 � 66 = 71

Each store received 71 stuffed animals.

Expected answer: 71

Correct? Yes

🔗 Problem

Problem: A toy car company has 910 toy cars ready for selling and they want to pack them in boxes of 10. How many boxes will they need to pack all the toy cars?

DeepSeek 67B:

Reasoning: The number of boxes needed is the total number of toy cars divided by the number of toy cars per box.
The number of boxes needed is 910/10 = <<910/10=91>>91 boxes.
### Answer: 91

Expected answer: 91

Correct? Yes

🔗 Follow-up

Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?

DeepSeek 67B:

Reasoning: The number of boxes needed is the total number of toy cars divided by the number of toy cars per box.
The number of boxes needed is 910/538 = <<910/538=1.69>>1.69 boxes.
Since we can't have a fraction of a box, we need to round up to the nearest whole number.
### Answer: 2

Expected answer: 455/269

Correct? No

🔗 Problem

Problem: A juice factory produces 1333 bottles of juice and packs them evenly into 43 boxes. How many bottles of juice are there in each box?

DeepSeek 67B:

Reasoning:
To find out how many bottles of juice are in each box, we need to divide the total number of bottles by the number of boxes.

So, 1333 bottles / 43 boxes = <<1333/43=31>>31 bottles of juice in each box.

Answer: 31

Expected answer: 31

Correct? Yes

🔗 Follow-up

Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?

DeepSeek 67B:

Reasoning:
To find out how many bottles of juice are in each box, we need to divide the total number of bottles by the number of boxes.

So, 423 bottles / 43 boxes = <<423/43=9.815>>9.815 bottles of juice in each box.

Answer: 9.815

Expected answer: 423/43

Correct? No

🔗 Problem

Problem: A generous benefactor donated 741 gifts to a local charity. These gifts were evenly divided between 13 shelters. How many gifts did each shelter receive?

DeepSeek 67B:

Reasoning:
To find out how many gifts each shelter received, we need to divide the total number of gifts by the number of shelters.

Total number of gifts = 741
Number of shelters = 13

Number of gifts per shelter = Total number of gifts / Number of shelters
Number of gifts per shelter = 741 / 13

Calculating the result:
Number of gifts per shelter = 57

Each shelter received 57 gifts.

Expected answer: 57

Correct? Yes

🔗 Problem

Problem: A child makes a giant snowball with a volume of 528 cubic feet. The child uses the same amount of snow to make each of 16 smaller snowballs. What is the volume of each smaller snowball in cubic feet?

DeepSeek 67B:

Reasoning:
The child used the same amount of snow to make each of the 16 smaller snowballs.
So, the volume of each smaller snowball is 528/16 = <<528/16=33>>33 cubic feet.
### Answer: 33

Expected answer: 33

Correct? Yes

🔗 Follow-up

Problem: If the child decided to make a different giant snowball, this time using a total of 3327 cubic feet of snow, and again divides it to make 16 smaller snowballs, what would be the volume of each smaller snowball in cubic feet?

DeepSeek 67B:

Reasoning:
The child used the same amount of snow to make each of the 16 smaller snowballs.
So, the volume of each smaller snowball is 3327/16 = <<3327/16=207.3125>>207.3125 cubic feet.
### Answer: 207.3125

Expected answer: 3327/16

Correct? No

🔗 Problem

Problem: A slide is 728 inches long and has evenly spaced waves every 56 inches. How many waves are there on the slide?

DeepSeek 67B:

Reasoning:
To find the number of waves on the slide, we need to divide the total length of the slide by the distance between each wave.

The total length of the slide is 728 inches and the distance between each wave is 56 inches.

So, the number of waves on the slide is 728/56 = <<728/56=13>>13.

Answer: 13

Expected answer: 13

Correct? Yes

🔗 Follow-up

Problem: The slide in the amusement park is being redesigned, and its new length is 3769 inches. The waves are still placed every 56 inches. How many waves will the redesigned slide have now?

DeepSeek 67B:

Reasoning:
To find the number of waves on the redesigned slide, we need to divide the total length of the slide by the distance between each wave.

The total length of the redesigned slide is 3769 inches and the distance between each wave is 56 inches.

So, the number of waves on the redesigned slide is 3769/56 = <<3769/56=67.59>>67.59.

Since we cannot have a fraction of a wave, we round down to the nearest whole number.

Answer: 67

Expected answer: 3769/56

Correct? No