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Mixtral 8x7B on 5.NBT.B.6

Common Core Standard 5.NBT.B.6

This standard covers the following:

Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

๐Ÿ”— 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?

Mixtral 8x7B:

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

Expected answer: 48

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the average number of miles driven each week, we divide the total number of miles driven by the number of weeks.
The school bus would drive 6100/52 = <<6100/52=117.31>>117.31 miles on average each week.
### Answer: 117.31 
(Note: The answer is rounded to two decimal places.)

Expected answer: 1525/13

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The astronaut consumes the same amount of oxygen every day, so we can divide the total amount of oxygen consumed by the number of days in the mission to find the daily consumption.
Oxygen consumption per day = Total oxygen consumed / Number of days
= 3870 liters / 90 days
= <<3870/90=43>>43 liters
### Answer: 43 liters

Expected answer: 43

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the astronaut's mission got extended to 124 days instead of 90, and he still used a total of 3870 liters of oxygen, how much oxygen did he use daily?

Mixtral 8x7B:

 Reasoning: The astronaut consumes the same amount of oxygen every day, so we can divide the total amount of oxygen consumed by the new number of days in the mission to find the new daily consumption.
Oxygen consumption per day = Total oxygen consumed / Number of days
= 3870 liters / 124 days
= <<3870/124=31.210457516339865>>31.21 liters (rounded to two decimal places)
### Answer: 31.21 liters 
(Note: The answer is slightly different from the previous question because the number of days in the mission has changed.)

Expected answer: 1935/62

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: Natalia lays 50 eggs in 10 nests, so there are 50/10 = <<50/10=5>>5 eggs in each nest.
### Answer: 5 eggs

Expected answer: 5

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia lays 2603 eggs in 10 nests, so there are 2603/10 = <<2603/10=260.3>>260.3 eggs in each nest.
Since the number of eggs must be a whole number, this problem is not possible with the given information.
### Answer: Not possible with the given information.

Expected answer: 2603/10

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The family wants to donate the towels equally over 5 days. So, they will donate 455/5 = <<455/5=91>>91 towels each day.
### Answer: 91

Expected answer: 91

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Now, the family wants to donate the towels equally over 5 days. So, they will donate 4581/5 = <<4581/5=916.2>>916.2 towels each day.
Since they can't donate a fraction of a towel, they will round the number to the nearest whole number.
### Answer: 916 towels each day.

Expected answer: 4581/5

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

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

Expected answer: 99

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many buses the school needs, we need to divide the total number of students by the number of students each bus can carry.
4570 / 11 = <<4570/11=415.454545455>>415.45
Since a bus cannot carry a fraction of a student, the school will need to hire 416 buses for the next field trip.
### Answer: The school needs to hire 416 buses for the next field trip.

Expected answer: 4570/11

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The manufacturer produces 2520/28 = <<2520/28=90>>90 bed sheets each day.
### Answer: 90 

(Note: The answer is rounded to the nearest whole number, as it is not possible to produce a fraction of a bed sheet.)

Expected answer: 90

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The manufacturer produces 7208/28 = <<7208/28=257.43>>257.43 bed sheets each day.
However, as mentioned earlier, it is not possible to produce a fraction of a bed sheet. Therefore, we need to round the number to the nearest whole number.
Since 0.43 is closer to 0.5 than to 0, we will round up to 258 bed sheets.
### Answer: 258 

(Note: The answer is rounded up to the nearest whole number, as it is not possible to produce a fraction of a bed sheet.)

Expected answer: 1802/7

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many pounds of food are in each bag, we need to divide the total amount of dog food produced in a day by the number of bags it is distributed into.
So, 2900 pounds / 50 bags = <<2900/50=58>>58 pounds of food per bag.
### Answer: 58 pounds

Expected answer: 58

Correct? Yes

๐Ÿ”— Follow-up

Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?

Mixtral 8x7B:

 Reasoning: To find out how many pounds of food are in each bag now, we need to divide the new total amount of dog food produced in a day by the number of bags it is distributed into.
So, 2301 pounds / 50 bags = <<2301/50=46.02>>46.02 pounds of food per bag.
### Answer: 46.02 pounds (rounded to two decimal places)

Expected answer: 2301/50

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: The cat catches 2187/27 = <<2187/27=81>>81 mice each month.
### Answer: 81

Expected answer: 81

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The cat catches 2784/27 = <<2784/27=103.11111111111111>>103.11 mice each month. However, since the cat cannot catch a fraction of a mouse, we can say that the cat catches an average of 103 mice each month.
### Answer: 103

Expected answer: 928/9

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Grapes per box = 1426 grapes / 62 boxes = <<1426/62=23>>23 grapes per box.
### Answer: 23

Expected answer: 23

Correct? Yes

๐Ÿ”— Follow-up

Problem: If instead of 1426 grapes, the vineyard harvested 4830 grapes and still wanted to distribute them evenly among the 62 boxes, how many grapes would now be in each box?

Mixtral 8x7B:

 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.
Grapes per box = 4830 grapes / 62 boxes = <<4830/62=78>>78 grapes per box.
### Answer: 78

Expected answer: 2415/31

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of starfish per square foot, we divide the total number of starfish by the number of square feet.
Starfish per square foot = Total number of starfish / Number of square feet
= 1152 starfish / 72 square feet
= <<1152/72=16>>16 starfish per square foot.
### Answer: 16 starfish per square foot.

Expected answer: 16

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of starfish per square foot in this different area, we divide the total number of starfish by the number of square feet.
Starfish per square foot = Total number of starfish / Number of square feet
= 833 starfish / 72 square feet
= <<833/72=11.58333333333>>11.58 starfish per square foot (rounded to two decimal places).
### Answer: 11.58 starfish per square foot (rounded to two decimal places). 

Expected answer: 833/72

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia gives 36/18 = <<36/1

Expected answer: 2

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia gives 2925/18 = <<2925/18=162.5>>162.5 additional toy trucks to each stuffed animal.
Since it's not possible to give half a toy truck to each stuffed animal, we can assume that the child rounds up or down.
### Answer: Each stuffed animal gets either 162 or 163 additional toy trucks.

Expected answer: 325/2

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The city is divided among 30 officers, so each officer is responsible for 240/30 = <<240/30=8>>8 blocks.
### Answer: 8 

(Note: The answer is 8 blocks per officer.)

Expected answer: 8

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The city is divided among 30 officers, so each officer is responsible for 3698/30 = <<3698/30=123.26666666666667>>123.27 blocks (rounded to two decimal places).
### Answer: 123.27 (Note: This answer is rounded to two decimal places.)

Expected answer: 1849/15

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the number of unicorns in each meadow, we divide the total number of unicorns by the number of meadows.
Number of unicorns in each meadow = Total number of unicorns / Number of meadows
= 7917 unicorns / 87 meadows
= <<7917/87=91>>91 unicorns per meadow
### Answer: 91 unicorns

Expected answer: 91

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of unicorns in each meadow, we divide the total number of unicorns by the number of meadows.
Number of unicorns in each meadow = Total number of unicorns / Number of meadows
= 2842 unicorns / 87 meadows
= <<2842/87=32.747126436781608>>32.75 unicorns per meadow (rounded to the nearest hundredth)
### Answer: 32.75 unicorns 

(Note: It is not possible to have a fraction of a unicorn, so in practice, the number of unicorns would be rounded to the nearest whole number. However, the question did not specify to round the answer, so I provided the exact value.)

Expected answer: 98/3

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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 divide the total length by the number of cities.
902 kilometers รท 82 cities = <<902/82=11.000000000000001>>11 kilometers (approximately)
### Answer: 11 kilometers (approximately)

Expected answer: 11

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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 divide the total length by the number of cities.
3767 kilometers รท 82 cities = <<3767/82=45.833333333333336>>45.83 kilometers (approximately)
### Answer: 45.83 kilometers (approximately)

Expected answer: 3767/82

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of sunglasses produced in each run, we need to divide the total number of sunglasses produced by the number of production runs.
Number of sunglasses per run = Total number of sunglasses / Number of production runs
= 552 / 69
= 8
### Answer: 8 sunglasses are made in each run.

Expected answer: 8

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of sunglasses produced in each run, we need to divide the total number of sunglasses produced by the number of production runs.
Number of sunglasses per run = Total number of sunglasses / Number of production runs
= 7712 / 69
= 112
### Answer: 112 sunglasses would be made in each run.

Expected answer: 7712/69

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The baby gained 2125 grams in 25 days.
The average daily weight gain is 2125/25 = <<2125/25=85>>85 grams per day.
### Answer: 85 grams per day

Expected answer: 85

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The baby gained 392 grams in 25 days.
The average daily weight gain is 392/25 = <<392/25=15.68>>15.68 grams per day.
### Answer: 15.68 grams per day 

(Note: I've rounded the answer to two decimal places as it's a more common way to express small decimal numbers, but you can round it to a single decimal place if it's the requirement.)

Expected answer: 392/25

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the factory makes the same quantity of lamps each day, then the number of lamps produced each day is 1073/37 = <<1073/37=29>>29 lamps.
### Answer: 29 lamps

Expected answer: 29

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the factory makes the same quantity of lamps each day, then the number of lamps produced each day is 7668/37 = <<7668/37=207.24324324324325>>207.24 lamps. However, since the factory cannot produce a fraction of a lamp, we round this number to the nearest whole number.
### Answer: 207 lamps 

(Note: The factory would produce 207 lamps daily if it maintains the same rate of production.)

Expected answer: 7668/37

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the distance the tiger walked in one minute, we need to divide the total distance by the number of minutes.
The tiger walked 2556/36 = <<2556/3

Expected answer: 71

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Each key costs 30/30 = $1.
### Answer: $1 per key.

Expected answer: 1

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Each key costs 6906/30 = $<<6906/30=230.2>>230.2. However, since keys are typically sold in whole numbers, it is likely that the cost is rounded to the nearest whole number.
### Answer: Approximately $230 per key.

Expected answer: 1151/5

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the seashells are distributed evenly across the 41-meter stretch, then the number of seashells per meter is the total number of seashells divided by the length of the stretch.
Seashells per meter = 1804 seashells / 41 meters
### Answer: 44 seashells/meter

Expected answer: 44

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the number of seashells has changed to 9083 and the length of the stretch remains the same at 41 meters, then the number of seashells per meter can be found by dividing the new total number of seashells by the length of the stretch.
Seashells per meter = 9083 seashells / 41 meters
### Answer: 221.54 seashells/meter 

(Note: This answer is approximate, as the number of seashells is not evenly divisible by the length of the stretch.)

Expected answer: 9083/41

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The kite is flown for a total of 1311 minutes over 23 days. To find out how many minutes the kite is in the air per day, we divide the total minutes by the number of days.
1311/23 = <<1311/23=57>>57 minutes
### Answer: The kite is in the air for 57 minutes per day.

Expected answer: 57

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The kite is flown for a total of 9051 minutes over 23 days. To find out how many minutes the kite is in the air per day, we divide the total minutes by the number of days.
9051/23 = <<9051/23=393.5217391304348>>393.52 minutes
Since the kite can't be in the air for a fraction of a minute, we can round it to the nearest whole number.
### Answer: The kite is in the air for approximately 394 minutes per day.

Expected answer: 9051/23

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the average amount of tomatoes produced by each plant, we need to divide the total amount of tomatoes harvested by the number of plants.
The calculation is: 2065 kg / 59 plants = <<2065/59=35>>35 kg per plant.
### Answer: 35 kg of tomatoes were produced by each plant on average.

Expected answer: 35

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the new average amount of tomatoes produced by each plant, we need to divide the new total amount of tomatoes harvested by the number of plants.
The calculation is: 1021 kg / 59 plants = <<1021/59=17.305084745762715>>17.3 kg per plant (rounded to two decimal places).
### Answer: 17.3 kg of tomatoes were produced by each plant on average, based on the new information.

Expected answer: 1021/59

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The mouse runs a total of 4928 meters in 77 hours.
On average, the mouse runs 4928/77 = <<4928/77=64>>64 meters in one hour.
### Answer: 64 meters

Expected answer: 64

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The mouse runs a total of 4928 meters in 3690 minutes.
On average, the mouse runs 4928/3690 = <<4928/3690=1.336>>1.336 meters in one minute.
### Answer: 1.336 meters 
(Note: This answer is rounded to the nearest thousandth.)

Expected answer: 2464/1845

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The kite forms the shape of a right triangle with the ground and the string. We need to find the height of the kite for every 50 feet of the string, which is the hypotenuse of the triangle. We can use the ratio of the opposite side to the hypotenuse, which is the sine of the angle formed by the string and the ground. Since the length of the string is 50 feet, the sine of the angle is 1800/50 = 36.
### Answer: The kite is flying 36 feet high per each foot of the used string.

Expected answer: 36

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: We can use the sine ratio again to find the height of the kite for every 50 feet of the string. The sine of the angle formed by the string and the ground is now 5659/50.
### Answer: The kite is flying approximately 113.18 feet high per each foot of the used string.

Expected answer: 5659/50

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Firewood per hour = 2208 ounces / 96 hours = <<2208/96=23>>23 ounces.
### Answer: 23 ounces

Expected answer: 23

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The princess is distributing the 600 gifts evenly among 50 friends. So, each friend will receive 600/50 = <<600/50=12>>12 gifts.
### Answer: 12 gifts

Expected answer: 12

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The princess is distributing the 4030 gifts evenly among 5

Expected answer: 403/5

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

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

Number of logs burned per week = Total logs burned / Number of weeks
= 4264 logs / 52 weeks
= 82 logs
### Answer: 82 logs

Expected answer: 82

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the average number of logs burned per hour, divide the total number of logs burned in a year by the number of hours in that period.

Number of logs burned per hour = Total logs burned / Number of hours
= 4264 logs / 3764 hours
= 1.13 logs
### Answer: 1.13 logs 
(Note: This answer is rounded to two decimal places.)

Expected answer: 1066/941

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the UFO's speed, we need to divide the total distance traveled by the time it took to travel that distance.
The UFO's speed was 1278/71 = <<1278/71=18>>18 miles per minute.
### Answer: 18 miles per minute

Expected answer: 18

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the UFO's speed, we need to divide the total distance traveled by the time it took to travel that distance.
The UFO's speed was 1278/218 = <<1278/218=5.854700854700855>>5.85 miles per minute (rounded to two decimal places).
### Answer: 5.85 miles per minute (rounded to two decimal places) 

(Note: The answer is rounded to two decimal places because the question does not specify the level of precision required.)

Expected answer: 639/109

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The snail travels the same distance each day. So, we divide the total distance by the number of days to find the distance the snail travels each day.
The snail travels 1610/35 = <<1610/35=46>>46 centimeters each day.
### Answer: 46 cm

Expected answer: 46

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The snail travels the same distance each day. So, we divide the total distance by the number of days to find the distance the snail travels each day.
The snail travels 9521/35 = <<9521/35=272.02857142857144>>272.03 centimeters each day.
(We can round this to 272 cm if we want a whole number.)
### Answer: 272 cm (or 272.03 cm if we want a decimal)

Expected answer: 9521/35

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The beach resort needs to divide 960 pounds of sand among 80 competitor stations. To find out how much sand there will be at each station, we need to divide the total amount of sand by the number of stations.
960 pounds divided by 80 stations = <<960/80=12>>12 pounds of sand per station.
### Answer: 12 pounds

Expected answer: 12

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The beach resort now has 1120 pounds of sand, which needs to be divided among 80 competitor stations. To find out how much sand there will be at each station, we need to divide the new total amount of sand by the number of stations.
1120 pounds divided by 80 stations = <<1120/80=14>>14 pounds of sand per station.
### Answer: 14 pounds

Expected answer: 14

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The jewellery store divided 2520 bracelets among 56 display cases.
To find out how many bracelets are in each display case, we need to divide the total number of bracelets by the number of display cases:
2520 / 56 = <<2520/56=45>>45
### Answer: 45 bracelets would be in each display case.

Expected answer: 45

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The jewellery store received 5311 new bracelets and distributed them equally among 56 display cases.
To find out how many bracelets are in each display case now, we need to divide the total number of new bracelets by the number of display cases:
5311 / 56 = <<5311/56=94.8362>>94.8362
Since we cannot have a fraction of a bracelet in a display case, we round the number to the nearest whole number.
### Answer: There would be 95 bracelets in each display case now.

Expected answer: 5311/56

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The tiger travels 4104/54 = <<4104/54=76>>76 miles per day.
### Answer: 76 

(Note: The answer is given as a whole number because the question asks for the number of miles the tiger travels in one day, and it is reasonable to assume that the tiger's daily travel distance is a whole number.)

Expected answer: 76

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The tiger travels 2498/54 = <<2498/54=46.25833333333>>46.26 miles per day (rounded to two decimal places).
### Answer: 46.26 

(Note: The answer is given as a decimal number because the tiger's daily travel distance is not a whole number in this scenario.)

Expected answer: 1249/27

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The number of cookies in each batch is the total number of cookies divided by the number of batches.
So, 2460 / 60 = <<2460/60=41>>41 cookies per batch.
### Answer: 41

Expected answer: 41

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The number of cookies in each batch is the total number of cookies divided by the number of batches.
So, 2460 / 554 = <<2460/554=4.445161290322581>>4.45 cookies per batch (rounded to two decimal places).
### Answer: 4.45 
(Note: It's unusual to have a fraction of a cookie, so the host may want to recheck their numbers.)

Expected answer: 1230/277

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 To find the number of items in each set when dividing 156 evenly into 6 sets, we can use the following formula:
Number of items in each set = Total number of items / Number of sets

Number of items in each set = 156 / 6 = <<156/6=26>>26

### Answer: There will be 26 numbers in each set.

Expected answer: 26

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 To find the number of items in each set when dividing 2347 evenly into 6 sets, we can use the same formula as before:
Number of items in each set = Total number of items / Number of sets

Number of items in each set = 2347 / 6 = <<2347/6=391.16666666666665>>391.

Expected answer: 2347/6

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia produced 888/24 = <<888/24=37>>37 bubbles per minute.
### Answer: 37

Expected answer: 37

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia now produces 6080/24 = <<6080/24=253.33333333333335>>253.33 bubbles per minute (rounded to two decimal places).
### Answer: 253.33

Expected answer: 760/3

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The rainbow cycles through its complete range of colors 8 times in 680 seconds.
So, the time spent on each cycle is 680/8 = <<680/8=85>>85 seconds.
### Answer: 85 seconds

Expected answer: 85

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The rainbow cycles through its complete range of colors 8 times in 8713 seconds.
So, the time spent on each cycle is 8713/8 = <<8713/8=1089.125>>1089.125 seconds.
However, a rainbow cycle must be a whole number of seconds. It seems there is an error in the question, as the time spent on each cycle cannot be a fraction of a second.
### Answer: The question contains an error, as the time spent on each cycle cannot be a fraction of a second.

Expected answer: 8713/8

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many balls there will be in each bin, we need to divide the total number of balls by the number of bins.
Balls per bin = Total number of balls / Number of bins
= 3864 balls / 42 bins
= 92 balls
### Answer: 92

Expected answer: 92

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many balls there will be in each bin, we need to divide the total number of balls by the number of bins.
Balls per bin = Total number of balls / Number of bins
= 4934 balls / 42 bins
= 117.47 balls
Since we can't have a fraction of a ball, we'll need to round up or down.
### Answer: 117 or 118 balls (depending on whether we round up or down)

Expected answer: 2467/21

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The metalsmith can create 1610/70 = <<1610/70=23>>23 rings with the silver he has.
### Answer: 23 

(Note: The answer is 23 because the remainder of 1610/70 is 10, which is less than 70, so no more rings can be made.)

Expected answer: 23

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The metalsmith can create 5312/70 = <<5312/70=75.89>>75.89 rings with the silver he now has.
Since the metalsmith cannot make a fraction of a ring, he can only make 75 rings with the 5310 grams of silver.
### Answer: 75 

(Note: The answer is 75 because the remainder of 5310/70 is 12, which is less than 70, so no more rings can be made.)

Expected answer: 2656/35

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find out how many apples each bag contains, we need to divide the total number of apples by the number of bags.
Each bag contains 88/44 = <<88/44=2>>2 apples.
### Answer: 2 apples

Expected answer: 2

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many apples each bag contains, we need to divide the total number of apples by the number of bags.
Each bag contains 8840/44 = <<8840/44=201>>201 apples.
### Answer: 201 apples 

(Note: The number of apples each bag contains is a whole number because 8840 is a multiple of 44.)

Expected answer: 2210/11

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many stones are in each part of the bracelet, we need to divide the total number of stones by the number of parts.
So, 87 stones รท 29 parts = <<87/29=3>>3 stones per part.
### Answer: 3 stones

Expected answer: 3

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many stones are in each part of the new bracelet, we need to divide the total number of stones by the number of parts.
So, 8017 stones รท 29 parts = <<8017/29=276.45>>276.45 stones per part.
However, since the number of stones must be a whole number, the jewelry maker needs to adjust the design of the bracelet.

Expected answer: 8017/29

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many bottles are filled per hour, we need to divide the total number of bottles filled by the total number of hours.
Bottles per hour = Total bottles / Total hours
= 1320 / 88
= 15
### Answer: 15 bottles are filled per hour.

Expected answer: 15

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many bottles are filled per hour under the new target, we need to divide the new total number of bottles filled by the total number of hours.
Bottles per hour = New total bottles / Total hours
= 8607 / 88
= 98
### Answer: 98 bottles are filled per hour under the new target.

Expected answer: 8607/88

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many tulips Annapurna will plant in each row, we need to divide the total number of tulips by the number of rows.
Annapurna will plant 3520/40 = <<3520/40=88>>88 tulips in each row.
### Answer: 88

Expected answer: 88

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many tulips Annapurna will plant in each space, we need to divide the total number of tulips by the number of spaces.
Annapurna will plant 3520/3052 = <<3520/3052=1.1538461538461538>>1.15 tulips in each space.
However, it is not possible to plant a fraction of a tulip. Annapurna will need to adjust the number of tulips she plants or the number of spaces she uses.
### Answer: It is not possible to plant 3520 tulips evenly in 3052 spaces.

Expected answer: 880/763

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Each doll got 3306/58 = <<3306/58=57>>57 pieces of clothing.
### Answer: 57

Expected answer: 57

Correct? Yes

๐Ÿ”— Follow-up

Problem: After another production run, the toy shop produced an additional 9115 doll clothes and distributed them evenly among the same 58 dolls. How many pieces of clothing did each doll get this time?

Mixtral 8x7B:

 Reasoning: To find out how many pieces of clothing each doll got this time, we need to divide the new total number of doll clothes by the number of dolls.
Each doll got 9115/58 = <<9115/58=157>>157 pieces of clothing this time.
### Answer: 157

Expected answer: 9115/58

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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 in the hibernation period.
The bear consumes 1881/19 = <<1881/19=100.053>>100.053 pounds of food per day during this period.
### Answer: 100.053 pounds of food per day

Expected answer: 99

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the speed of the plane, we need to divide the total distance by the total time.
The plane flew 1720/86 = <<1720/86=20>>20 miles per hour.
### Answer: 20 miles per hour

Expected answer: 20

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the new speed of the plane, we need to divide the new total distance by the total time.
The plane flew 1990/86 = <<1990/86=23.14>>23.14 miles per hour.
### Answer: 23.14 miles per hour 

(Note: The answer is an approximation, as the result of the division is a repeating decimal.)

Expected answer: 995/43

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The factory produced 4950/90 = <<4950/90=55>>55 pencils each hour.
### Answer: 55

Expected answer: 55

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The factory produced 3487/90 = <<3487/90=38.74444444444444>>38.74 pencils each hour (rounded to two decimal places).
### Answer: 38.74

Expected answer: 3487/90

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of tomatoes produced each week, we need to divide the total number of tomatoes produced during the season by the number of weeks in the season.
### Answer: 780/52=15 tomatoes per week.

Expected answer: 15

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of tomatoes produced each week now, we need to divide the new total number of tomatoes produced during the season by the number of weeks in the season.
### Answer: 2502/52=48.1154 tomatoes per week. Since we can't have a fraction of a tomato, we can say that the garden produces approximately 48 tomatoes per week.

Expected answer: 1251/26

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the distance the tiger covers each day, we divide the total distance by the number of days.
The tiger covers 1679 km / 73 days = <<1679/73=23>>23 km each day.
### Answer: 23 km.

Expected answer: 23

Correct? Yes

๐Ÿ”— Follow-up

Problem: If the same tiger were to travel a total distance of 7008 km, instead of 1679 km, evenly over the SAME period of 73 days, how many kilometers would the tiger cover each day now?

Mixtral 8x7B:

 Reasoning: To find the distance the tiger covers each day for the new total distance, we divide the new total distance by the number of days.
The tiger covers 7008 km / 73 days = <<7008/73=96.3013698630137>>96.3 km each day.
### Answer: 96.3 km. 

(Note: I've kept the answer to two decimal places for practical purposes, but the actual answer is an infinite repeating decimal.)

Expected answer: 96

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The sporting goods store will distribute the 2280 ice skates equally among their 38 stores. To find out how many ice skates each store will receive, we can divide the total number of ice skates by the number of stores:
2280 / 38 = <<2280/38=60>>60
### Answer: 60 ice skates will be distributed to each store.

Expected answer: 60

Correct? Yes

๐Ÿ”— Follow-up

Problem: The sporting goods store unexpectedly received an additional shipment, bringing the total number of new ice skates to 3887. If they still plan on distributing them equally among their 38 store locations, how many ice skates will each store receive now?

Mixtral 8x7B:

 Reasoning: The sporting goods store will now distribute the 3887 ice skates equally among their 3

Expected answer: 3887/38

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many pages you need to read each day, divide the total number of pages by the number of days.
Pages per day = Total pages / Number of days
Pages per day = 4606 / 47
### Answer: 98 pages per day.

Expected answer: 98

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many pages you need to read each day, divide the total number of pages by the number of days.
Pages per day = Total pages / Number of days
Pages per day = 5982 / 47
### Answer: 127 pages per day.

Expected answer: 5982/47

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The dressmaking company can make 3234/33 = <<3234/33=98>>98 skirts in total with the fabric they have.
### Answer: 98 

(Note: The remainder is very small, so it can be ignored in this context.)

Expected answer: 98

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The dressmaking company can make 3234/158 = <<3234/158=20.495575221238938>>20 skirts with the new design. However, since they can't make a fraction of a skirt, they can only make 20 skirts with the 3234 centimeters of fabric they have.
### Answer: 20 

(Note: The remainder is too large to ignore in this context, so they can't make more than 20 skirts with the new design.)

Expected answer: 1617/79

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The doctor talks to patients for 4424/56 = <<4424/56=79>>79 minutes each day.
### Answer: 79 

(Note: I'm assuming that the doctor talks to patients for a whole number of minutes each day. If not, the answer would be 79.32 minutes, which is not possible since the doctor can't talk for a fraction of a minute.)

Expected answer: 79

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The doctor talks to patients for 1047/56 = <<1047/56=18.660714285714286>>18.66 minutes each day.
Since the doctor can't talk for a fraction of a minute, we can assume that he talks for 19 minutes each day.
### Answer: 19

Expected answer: 1047/56

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia can package 3025/55 = <<3025/55=55>>55 marshmallows in each bag.
### Answer: 55

Expected answer: 55

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia can package 3025/2011 = <<3025/2011=1.5>>1.5 marshmallows in each bag. But since it's impossible to have half a marshmallow, Sam cannot divide his marshmallows evenly into 2011 bags.
### Answer: It's impossible to divide 3025 marshmallows evenly into 2011 bags.

Expected answer: 3025/2011

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The jeweler made 1944/72 = <<1944/72=27>>27 beads per bracelet.
### Answer: 27 beads per bracelet.

Expected answer: 27

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The jeweler would have 1944/495 = <<1944/495=3.93...>>3.93... beads per bracelet. However, since the number of beads must be a whole number, the jeweler cannot make 495 bracelets with 1944 beads.

Expected answer: 216/55

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The farmer wants to divide 272 carrots into 17 bunches. 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.
Carrots per bunch = Total carrots / Number of bunches
= 272 / 17
= 16
### Answer: 16 carrots will be in each bunch.

Expected answer: 16

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The farmer wants to divide 3176 carrots into 17 bunches. 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.
Carrots per bunch = Total carrots / Number of bunches
= 3176 / 17
= 187
### Answer: 187 carrots would be in each bunch.

Expected answer: 3176/17

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the average amount of snowfall per day, we can divide the total snowfall by the number of days.
The calculation is as follows: 1740/87 = <<1740/87=20>>20 inches of snow fell on average each day during the winter season.
### Answer: 20 inches

Expected answer: 20

Correct? Yes

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: The carpenter has 80 inches of wood, and he needs 80 inches to make one door.
Therefore, the carpenter can make 80/80 = <<80/80=1>>1 door with the 80 inches of wood.
### Answer: 1 door

Expected answer: 1

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The carpenter now has 4322 inches of wood, and each door requires 80 inches of wood.
Therefore, the carpenter can make 4322/80 = <<4322/80=54.025>>54.025 doors with the 4322 inches of wood.
However, the carpenter cannot make a fraction of a door, so he can make 54 doors with the 4322 inches of wood.
### Answer: 54 doors 

(Note: The carpenter cannot make 0.025 of a door, so the number of doors is rounded down to the nearest whole number.)

Expected answer: 2161/40

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The doctor treated 2691 patients in 39 years.
So, she treated 2691 / 39 = <<2691/39=69>>69 patients on average per year.
### Answer: 69 patients per year

Expected answer: 69

Correct? Yes

๐Ÿ”— Follow-up

Problem: Continuing from the previous problem, considering that over her career, the doctor treated a total of 9447 patients, rather than 2691, how many patients did she attend to in each year on average now?

Mixtral 8x7B:

 Reasoning: The doctor treated 9447 patients in 39 years.
So, she treated 9447 / 3

Expected answer: 3149/13

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

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

Expected answer: 18

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The farmer got 8539/52 = <<8539/52=164.21>>164.21 cucumbers from each plant this time around. However, since it's not possible to get a fraction of a cucumber, this means that the number of cucumbers per plant must be a whole number. This is not possible with the given numbers.
### Answer: It is not possible for the farmer to have harvested the same number of cucumbers from each plant as in the previous season.

Expected answer: 8539/52

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find out how many balloons each party gets, we need to divide the total number of balloons by the number of parties.
Balloons per party = Total balloons / Number of parties
= 2470 / 26
= 95
### Answer: 95 balloons per party.

Expected answer: 95

Correct? Yes

๐Ÿ”— Follow-up

Problem: The party organizer recently received another batch of balloons, increasing the total quantity to 8421. If these are to be equally distributed over the same 26 parties, how many balloons does each party now get?

Mixtral 8x7B:

 Reasoning: To find out how many balloons each party gets after the new batch, we need to divide the new total number of balloons by the number of parties.
Balloons per party = New total balloons / Number of parties
= 8421 / 26
= 324
### Answer: 324 balloons per party.

Expected answer: 8421/26

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Each bottle will contain 858/13 = <<858/13=66>>66 milliliters of juice.
### Answer: 66 milliliters

Expected answer: 66

Correct? Yes

๐Ÿ”— Follow-up

Problem: Given the same situation as before, what if the manufacturer makes a larger batch of 1192 milliliters of juice instead, and still plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain now?

Mixtral 8x7B:

 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.
Each bottle will contain 1192/13 = <<1192/13=92>>92 milliliters of juice.
### Answer: 92 milliliters

Expected answer: 1192/13

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

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

Expected answer: 25

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the distance the scooter travels in each second under this new scenario, we need to divide the new total distance by the total time.
The scooter travels 3984/64 = <<3984/64=62>>62 feet in each second.
### Answer: 62 feet

Expected answer: 249/4

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Each store will receive 2907/51 = <<2907/51=57>>57 lamps.
### Answer: 57

Expected answer: 57

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?

Mixtral 8x7B:

 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.
Each store will receive 4753/51 = <<4753/51=93>>93 lamps.
### Answer: 93

Expected answer: 4753/51

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: The clock ticks 756/18 = <<756/18=42>>42 times in one minute.
### Answer: 42

Expected answer: 42

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The clock ticks 3788/18 = <<3788/18=210.44444444444443>>210.44 times in 18 minutes.
Since a clock cannot tick a fraction of a time, we will round the number of ticks to the nearest whole number.
### Answer: 210 ticks in one minute.

Expected answer: 1894/9

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Natalia put 930/15 = <<930/15=62>>62 feathers in each pillow.
### Answer: 62 

(Note: The number of feathers in each pillow is a whole number because 930 is a multiple of 15.)

Expected answer: 62

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The second factory puts 5881/15 = <<5881/1

Expected answer: 5881/15

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the amount each person has to contribute, we divide the total cost by the number of people in the group.
$702 / 54 = $13.00/person
### Answer: $13.00 per person

Expected answer: 13

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the amount each person has to pay now, we divide the new total cost by the number of people in the group.
$446 / 54 = $8.26/person
### Answer: $8.26 per person 

(Note: The actual cost per person will depend on whether the initial cost was refunded in full or in part.)

Expected answer: 223/27

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
Each piece is 510 / 30 = <<510/30=17>>17 cm long.
### Answer: 17 cm

Expected answer: 17

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
Each piece is 9650 / 30 = <<9650/30=321.66666666666665>>321.67 cm long. (Rounded to the nearest hundredth.)
### Answer: 321.67 cm

Expected answer: 965/3

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Coins per chest = Total coins / Number of chests
= 6097 / 91
= 67
### Answer: 67 gold coins

Expected answer: 67

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Coins per chest = Total coins / Number of chests
= 6097 / 2910
= 2.097
But since it's impossible to have a fraction of a coin, this means that the number of coins given in the problem is not evenly divisible by the number of chests.
### Answer: It is not possible to evenly distribute the 6097 gold coins among 2910 chests.

Expected answer: 6097/2910

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many coins each pirate receives, we need to divide the total number of coins by the number of pirates.
Each pirate receives 2425/97 = <<2425/97=25>>25 coins.
### Answer: 25 

(Note: This answer has been rounded to the nearest whole number, as it is not possible to divide 2425 coins evenly among 97 pirates and have a fraction of a coin for each pirate.)

Expected answer: 25

Correct? Yes

๐Ÿ”— Follow-up

Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?

Mixtral 8x7B:

 Reasoning: To find out how many coins each pirate receives, we need to divide the total number of coins by the number of pirates.
Each pirate receives 5005/97 = <<5005/97=51.57>>51.57 coins.

However, it is not possible to divide 5005 coins evenly among 97 pirates and have a fraction of a coin for each pirate. In this case, the extra coins would need to be distributed among the pirates in some other way, such as giving each pirate an extra coin and having one leftover coin.

### Answer: It is not possible to divide the 5005 coins evenly among the 97 pirates, so the number of coins each pirate receives would depend on how the extra coins are distributed.

Expected answer: 5005/97

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the amount of fuel consumed in one hour, we need to divide the total amount of fuel consumed by the number of hours.
Fuel per hour = Total fuel consumed / Number of hours
= 204 liters / 51 hours
= <<204/51=4>>4 liters
### Answer: 4 liters

Expected answer: 4

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the amount of fuel consumed in one hour, we need to divide the total amount of fuel available by the number of hours.
Fuel per hour = Total fuel available / Number of hours
= 100 liters / 51 hours
= <<100/51=1.96078431372549>>1.96 liters (rounded to two decimal places)
### Answer: 1.96 liters (rounded to two decimal places) 

(Note: The actual answer is 1.96078431372549 liters, but I rounded it to two decimal places as it is more practical for real-world applications.)

Expected answer: 100/51

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The scale of the map is such that 8448 kilometers is represented as 96 centimeters. This means that 1 centimeter on the map represents 8448 kilometers / 96 centimeters = <<8448/96=88>>88 kilometers.
### Answer: 88 kilometers per centimeter

Expected answer: 88

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: In this scenario, 8448 kilometers is represented as 4759 centimeters. This means that 1 centimeter on the map represents 8448 kilometers / 4759 centimeters = <<8448/4759=1.778>>1.778 kilometers.
### Answer: 1.778 kilometers per centimeter (rounded to four decimal places)

Expected answer: 8448/4759

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: The train travels 584/73 = <<584/73~8>>8 kms each hour.
### Answer: 8

Expected answer: 8

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The train travels 584/71 = <<584/71~8.23>>8.23 kms each hour.
### Answer: 8.23 

(Note: The answer is an approximation, as the number of kms traveled each hour is not a whole number.)

Expected answer: 584/71

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The teacher assigns 3612/86 = <<3612/86=42>>42 pages for every day.
### Answer: 42

Expected answer: 42

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The teacher now assigns 3612/328 = <<3612/328=11>>11 pages for every day.
### Answer: 11 

(Note: I made a mistake in my previous response. The correct answer is 11 pages per day, not 3612 pages per day.)

Expected answer: 903/82

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The hat maker makes 1083/57 = <<1083/57=19>>19 hats per week.
### Answer: 19 hats

Expected answer: 19

Correct? Yes

๐Ÿ”— Follow-up

Problem: In the following year, the hat maker manages to produce a total of 7678 hats over 57 weeks. Maintaining the same pace of production every week as the previous year, how many hats does the hat maker now produce weekly?

Mixtral 8x7B:

 Reasoning: The hat maker makes 7678/57 = <<7678/57=135>>135 hats per week.
### Answer: 135 hats 

(Note: This answer is different from the previous answer because the hat maker's weekly production rate has changed from the previous year.)

Expected answer: 7678/57

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the manufacturer produced the same number of socks daily, then we can find the number of socks produced per day by dividing the total number of socks produced by the number of days.
Number of socks produced per day = Total number of socks / Number of days
= 4218 pairs / 74 days
= 57 pairs
### Answer: 57 pairs

Expected answer: 57

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: If the manufacturer produced 4055 pairs of socks in 74 days, then we can find the number of socks produced per day by dividing the total number of socks produced by the number of days.
Number of socks produced per day = Total number of socks / Number of days
= 4055 pairs / 74 days
= 54.73 pairs
Since the manufacturer produces whole pairs of socks, we can round up or down to the nearest whole number. In this case, the manufacturer produced 54 pairs of socks daily.
### Answer: 54 pairs

Expected answer: 4055/74

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find out how many full bracelets can be made from 3657 pearls, we need to divide the total number of pearls by the number of pearls used in each bracelet.
Number of full bracelets = Total pearls / Pearls per bracelet
= 3657 / 69
= 53
### Answer: 53 full bracelets can be made.

Expected answer: 53

Correct? Yes

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the distance the scooter traveled per minute, we divide the total distance by the time taken.
4000 meters รท 80 minutes = <<4000/80=50>>50 meters per minute.
### Answer: 50 meters per minute.

Expected answer: 50

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the distance the scooter traveled per minute now, we divide the new total distance by the time taken.
5391 meters รท 80 minutes = <<5391/80=67.3875>>67.39 meters per minute (rounded to two decimal places).
### Answer: 67.39 meters per minute.

Expected answer: 5391/80

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The factory makes 364/4 = <<364/4=91>>91 toys in 4 days.
So, the factory makes 91/4 = <<91/4=22.75>>22.75 toys per day.
However, since the factory cannot make a fraction of a toy, we can say that it makes 23 toys per day (with a remainder of 0.75 toys, which is less than 1 toy).
### Answer: 23 toys per day

Expected answer: 91

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

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

Expected answer: 75

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the length of each section, we need to divide the total length of the slide by the number of sections.
Each section is 9823 / 66 = <<9823/66=148.83333333333334>>148.83 millimeters long.
### Answer: 148.83 millimeters

Expected answer: 893/6

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Number of gold coins per chest = Total number of gold coins / Number of chests
= 726 / 66
= 11
### Answer: 11 gold coins

Expected answer: 11

Correct? Yes

๐Ÿ”— Follow-up

Problem: Considering the same dragon's hoard from the previous problem, suppose that the dragon actually had 3453 gold coins instead of 726. If the dragon still spread the gold evenly among the 66 chests, how many gold coins would be in each chest now?

Mixtral 8x7B:

 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.
Number of gold coins per chest = Total number of gold coins / Number of chests
= 3453 / 66
= 52
### Answer: 52 gold coins 

(Note: The number of gold coins per chest is dependent on the total number of gold coins and the number of chests, so the answer will change if the total number of gold coins changes.)

Expected answer: 1151/22

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of starfish, we need to divide the total number of limbs by the number of limbs per starfish:
Number of starfish = Total limbs / Limbs per starfish
= 702 / 9
= 78
### Answer: 78 starfish

Expected answer: 78

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of starfish, we need to divide the total number of limbs by the number of limbs per starfish:
Number of starfish = Total limbs / Limbs per starfish
= 278 / 9
Since 278 is not a multiple of 9, the number of starfish will not be a whole number.
### Answer: Approximately 30.89 starfish, which is not possible as the number of starfish must be a whole number. This indicates that there is an error in the data provided.

Expected answer: 278/9

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The area of each section is the total area divided by the number of sections.
Each section is 1927/47 = <<1927/47=41.00>>41.00 acres.
### Answer: 41.00 acres

Expected answer: 41

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The area of each section is the total area divided by the number of sections.
Each section is 1927/411 = <<1927/411=4.69>>4.69 acres.
### Answer: 4.69 acres 

(Note: This is an approximation. The actual value is 4.690000046900001, but it is more common to report the value as 4.69.)

Expected answer: 1927/411

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the number of trucks each branch has, we divide the total number of trucks by the number of branches.

Number of trucks per branch = Total number of trucks / Number of branches
= 744 trucks / 24 branches
= <<744/24=31>>31 trucks

### Answer: Each branch has 31 trucks.

Expected answer: 31

Correct? Yes

๐Ÿ”— Follow-up

Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?

Mixtral 8x7B:

 Reasoning: To find the new number of trucks each branch has, we divide the new total number of trucks by the number of branches.

Number of trucks per branch = New total number of trucks / Number of branches
= 6028 trucks / 24 branches
= <<6028/24=251.16666666666666>>251.17 trucks (rounded to two decimal places)

### Answer: Each branch now has approximately 251.17 trucks. (Note: It is not possible for a truck rental company to have a fraction of a truck, so the actual distribution may vary slightly.)

Expected answer: 1507/6

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find out how many oranges will be in each box, we need to divide the total number of oranges by the number of boxes.
Number of oranges per box = Total oranges / Number of boxes
= 2820 oranges / 60 boxes
= 47 oranges
### Answer: 47 oranges

Expected answer: 47

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Number of gold coins per bag = Total number of gold coins / Number of bags
= 7280 / 91
= 80
### Answer: 80 gold coins

Expected answer: 80

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Number of gold coins per bag = Total number of gold coins / Number of bags
= 5857 / 91
= 64

### Answer: 64 gold coins 

Note: The number of gold coins in each bag will vary depending on the total number of gold coins in the chest, but the number of bags remains the same.

Expected answer: 5857/91

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The number of soap bars produced by each mold is 1980/20 = <<1980/20=99>>99 soap bars.
### Answer: 99

Expected answer: 99

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The number of soap bars produced by each mold is 9741/20 = <<9741/20=487.05>>487.05 soap bars.
Since it is not possible to produce a fraction of a soap bar, the soap factory must adjust the number of molds or the number of soap bars produced.
### Answer: It is not possible to determine the exact number of soap bars produced by each mold with the given information.

Expected answer: 9741/20

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 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 height of each layer is 1457 meters / 47 layers = <<1457/47=31.00>>31.

Expected answer: 31

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 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 height of each layer is 8729 meters / 47 layers = <<8729/47=185.72>>185.72 meters.
### Answer: Each layer would be 185.72 meters tall.

Expected answer: 8729/47

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 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.
Each piece of rope is 4230/90 = <<4230/90=47>>47 meters long.
### Answer: 47 meters

Expected answer: 47

Correct? Yes

๐Ÿ”— Problem

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

Mixtral 8x7B:

 Reasoning: To find the number of trees per hectare, we need to divide the total number of trees by the total number of hectares.
Trees per hectare = Total number of trees / Total number of hectares
= 2508 trees / 38 hectares
= <<2508/38=66.0>>66.0 trees/hectare
Since we can't have a fraction of a tree, we can say that there are approximately 66 trees per hectare.
### Answer: 66 trees/hectare (approximately)

Expected answer: 66

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of animals per hectare, we need to divide the total number of animals by the total number of hectares.
Animals per hectare = Total number of animals / Total number of hectares
= 2508 animals / 1417 hectares
= <<2508/1417=1.77>>1.77 animals/hectare
Since we can't have a fraction of an animal, we can say that we would expect to encounter approximately 2 animals per 10 hectares.
### Answer: 2 animals/10 hectares (approximately)

Expected answer: 2508/1417

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

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

Expected answer: 73

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

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

[Note: I noticed that the previous answer was not formatted as requested, so I am correcting the formatting here.]

Expected answer: 1357/31

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: Each pulse is 925/37 = <<925/3

Expected answer: 25

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many jewels the dragon collected each year, we need to divide the total number of jewels by the number of years.
The dragon collected 3010/43 = <<3010/43=70>>70 jewels each year.
### Answer: 70

Expected answer: 70

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many jewels the dragon collected each year with the new total, we need to divide the new total number of jewels by the number of years.
The dragon collected 6402/43 = <<6402/43=149.12, which is not an integer value, so the dragon did not collect jewels evenly throughout the years.>>
### Answer: The dragon did not collect jewels evenly throughout the years.

Expected answer: 6402/43

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The spaceship sends out 6699 signals over the course of 87 days. This means that the number of signals sent per day is 6699/87 = <<6699/87=77>>77 signals.
### Answer: 77 signals

Expected answer: 77

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The spaceship sends out 6699 signals over the course of 2715 days. This means that the number of signals sent per day is 6699/2715 = <<6699/2715=2.47>>2.47 signals.

However, the problem states that the spaceship sends out the same number of signals each day, which is not possible if the number of signals is not a whole number. Therefore, the information provided in the problem is inconsistent and does not have a valid solution.

### Answer: The information provided in the problem is inconsistent and does not have a valid solution.

Expected answer: 2233/905

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The water tank is designed to provide enough water for 28 days, and it contains 2016 liters of water. Therefore, the amount of water provided per day is 2016/28 = <<2016/28=72>>72 liters per day.
### Answer: 72 liters

Expected answer: 72

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The water tank is designed to provide enough water for 28 days, and it contains 8329 liters of water. Therefore, the amount of water provided per day is 8329/28 = <<8329/28=297.4642857142857>>297.46 liters per day (rounded to two decimal places).
### Answer: 297.46 liters 

(Note: I am a machine, and I always round my final answer to the nearest whole number unless specified otherwise. However, I will always show the full precision of my calculation.)

Expected answer: 8329/28

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of stuffed animals each store received, we divide the total number of stuffed animals by the number of stores.
Each store received 4686/66 = <<4686/66=71>>71 stuffed animals.
### Answer: 71

Expected answer: 71

Correct? Yes

๐Ÿ”— Follow-up

Problem: Now, imagine if the toy company had to distribute the same 4686 stuffed animals among 1023 stores instead of 66. If they still had to distribute them evenly, how many stuffed animals would each store receive now?

Mixtral 8x7B:

 Reasoning: To find the number of stuffed animals each store would receive, we divide the total number of stuffed animals by the number of stores.
Each store would receive 4686/1023 = <<4686/1023=4.58>>4.58 (rounded to two decimal places).
However, since it is not possible to distribute a fraction of a stuffed animal, the company would need to adjust the distribution to ensure that each store receives a whole number of stuffed animals.
### Answer: It is not possible to distribute the stuffed animals evenly among 1023 stores with the current number of stuffed animals.

Expected answer: 142/31

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many boxes are needed, we need to divide the total number of toy cars by the number of toy cars in each box.
910 / 10 = <<910/10=91>>91 boxes
### Answer: 91

Expected answer: 91

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many boxes are needed, we need to divide the total number of toy cars by the number of toy cars in each large box.
910 / 538 = <<910/538=1.693303388230814>>1.6933 boxes
Since it's not possible to have a fraction of a box, the company will need to use 2 large boxes to pack all the toy cars.
### Answer: 2

Expected answer: 455/269

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 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.
Number of bottles in each box = Total number of bottles / Number of boxes
= 1333 / 43
= 31
### Answer: 31 bottles of juice are there in each box.

Expected answer: 31

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many bottles of juice are in each box, we need to divide the new total number of bottles by the number of boxes.
Number of bottles in each box = New total number of bottles / Number of boxes
= 423 / 43
= 9 remainder 30
Since the number of bottles cannot be in decimals, we can say that there are 9 full bottles in each box and 30 bottles left over.
### Answer: 9 bottles of juice are in each box with 30 bottles left over.

Expected answer: 423/43

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find out how many gifts each shelter received, we need to divide the total number of gifts by the number of shelters.
Each shelter received 741/13 = <<741/1

Expected answer: 57

Correct? No

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The child makes 16 snowballs with the same amount of snow used for the giant snowball. So, the total volume of the 16 smaller snowballs should be equal to the volume of the giant snowball.
The volume of each smaller snowball = Volume of the giant snowball / Number of smaller snowballs
= 528 cubic feet / 16
= <<528/16=33>>33 cubic feet
### Answer: 33 cubic feet.

Expected answer: 33

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: The child makes 16 snowballs with the same amount of snow used for the new giant snowball. So, the total volume of the 16 smaller snowballs should be equal to the volume of the new giant snowball.
The volume of each smaller snowball = Volume of the new giant snowball / Number of smaller snowballs
= 3327 cubic feet / 16
= <<3327/16=207.9375>>207.9375 cubic feet
Since the volume of a snowball must be a whole number, we can assume that the child used only a part of the last smaller snowball to reach the total volume of 3327 cubic feet.
### Answer: The volume of each smaller snowball is approximately 207.94 cubic feet.

Expected answer: 3327/16

Correct? No

๐Ÿ”— Problem

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

Mixtral 8x7B:

 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 number of waves is therefore 728/56 = <<728/56=13>>13.
### Answer: 13 waves

Expected answer: 13

Correct? Yes

๐Ÿ”— 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?

Mixtral 8x7B:

 Reasoning: To find the number of waves on the redesigned slide, we need to divide the new total length of the slide by the distance between each wave.
The number of waves is therefore 3769/56 = <<3769/56=67>>67.
### Answer: 67 waves 

(Note: The number of waves is determined by the length of the slide, not the number of waves on the previous design.)

Expected answer: 3769/56

Correct? No