🔗 Problem

Problem: A king has decided to build a number of castles in his kingdom. If each castle requires 5 builders and there are 15 builders in total, how many castles are being built?

GPT-4o:

    To determine how many castles are being built, we need to divide the total number of builders by the number of builders required for each castle.

    Given:
    - Each castle requires 5 builders.
    - There are 15 builders in total.

    We perform the division:
    \[ \text{Number of castles} = \frac{\text{Total number of builders}}{\text{Builders per castle}} = \frac{15}{5} = 3 \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a mega-sized tube of toothpaste, there are 77 grams of toothpaste. If each usage consumes 11 grams of toothpaste, how many usages can you get from this tube?

GPT-4o:

    To determine how many usages you can get from the tube of toothpaste, you need to divide the total amount of toothpaste by the amount used per usage.

    Given:
    - Total toothpaste: 77 grams
    - Toothpaste used per usage: 11 grams

    We perform the division:
    \[ \frac{77 \text{ grams}}{11 \text{ grams/usage}} = 7 \text{ usages} \]

    ### Answer: 7 usages

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A watch manufacturer can produce 8 watches every hour. After working for some hours, they have manufactured a total of 48 watches. How many hours did they work?

GPT-4o:

    To determine how many hours the watch manufacturer worked, we can use the formula:

    \[ \text{Total watches produced} = \text{Watches produced per hour} \times \text{Number of hours worked} \]

    Given:
    - Total watches produced = 48
    - Watches produced per hour = 8

    We need to find the number of hours worked. Let \( h \) represent the number of hours worked. The equation becomes:

    \[ 48 = 8 \times h \]

    To solve for \( h \), we divide both sides of the equation by 8:

    \[ h = \frac{48}{8} \]

    \[ h = 6 \]

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A cat mother had 3 kittens. If every kitten has the same number of toy mice, and there are only 3 toy mice available, how many toy mice does each kitten have?

GPT-4o:

    To determine how many toy mice each kitten has, we need to divide the total number of toy mice by the number of kittens.

    There are 3 toy mice and 3 kittens.

    \[
    \text{Number of toy mice per kitten} = \frac{\text{Total number of toy mice}}{\text{Number of kittens}} = \frac{3}{3} = 1
    \]

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A hungry tiger catches 12 fishes from a river during day time. However, it eats 2 fishes per hour. How many hours will it take for the tiger to finish all the fishes?

GPT-4o:

    To determine how many hours it will take for the tiger to finish all the fishes, we need to divide the total number of fishes by the number of fishes the tiger eats per hour.

    The tiger catches 12 fishes and eats 2 fishes per hour.

    We calculate the number of hours as follows:
    \[
    \text{Number of hours} = \frac{\text{Total number of fishes}}{\text{Number of fishes eaten per hour}} = \frac{12}{2} = 6
    \]

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A T-shirt company plans to print new shirts. Each design requires 8 shirts to print the first samples. The company just finished printing 56 shirts for this purpose. How many designs does the company plan to print?

GPT-4o:

    To determine how many designs the company plans to print, we need to divide the total number of shirts by the number of shirts required per design.

    Given:
    - Each design requires 8 shirts.
    - The company printed a total of 56 shirts.

    We perform the division:
    \[ \text{Number of designs} = \frac{\text{Total number of shirts}}{\text{Shirts per design}} = \frac{56}{8} \]

    Calculating the division:
    \[ \frac{56}{8} = 7 \]

    Therefore, the company plans to print 7 designs.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A scooter rental shop charges each rider 7 dollars per hour. If one rider spends 35 dollars, how many hours did they ride the scooter?

GPT-4o:

    To determine how many hours the rider spent on the scooter, we need to divide the total amount spent by the hourly rate.

    Given:
    - Total amount spent = $35
    - Hourly rate = $7 per hour

    We can set up the equation:
    \[ \text{Number of hours} = \frac{\text{Total amount spent}}{\text{Hourly rate}} \]

    Substituting the given values:
    \[ \text{Number of hours} = \frac{35}{7} \]

    Performing the division:
    \[ \text{Number of hours} = 5 \]

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A car travels at a consistent speed and takes 8 hours to complete the trip. If the total distance traveled was 32 miles, what was the speed of the car in miles per hour?

GPT-4o:

    To find the speed of the car, we use the formula for speed, which is:

    \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

    Given:
    - Distance = 32 miles
    - Time = 8 hours

    Substitute the given values into the formula:

    \[ \text{Speed} = \frac{32 \text{ miles}}{8 \text{ hours}} \]

    \[ \text{Speed} = 4 \text{ miles per hour} \]

    ### Answer: 4 miles per hour

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A jewelry store sells bracelets in collections. They have 77 bracelets in one collection, and each collection consists of identical bracelets in distinct multiples of 11. How many bracelets are in each multiple?

GPT-4o:

    To determine how many bracelets are in each multiple, we need to find the distinct multiples of 11 that sum up to 77.

    First, let's list the multiples of 11 up to 77:
    - 11
    - 22
    - 33
    - 44
    - 55
    - 66
    - 77

    Now, we need to find a combination of these multiples that add up to 77.

    One possible way to achieve this is to use the largest multiple first and then see if the remaining sum can be achieved with the smaller multiples.

    1. Start with 77 (which is already a multiple of 11):
       - 77 = 77

    Since 77 is itself a multiple of 11, we don't need to add any other multiples.

    ### Answer: 77

Expected answer: 7

Correct? No

🔗 Problem

Problem: In a camping trip, the vertical height of a tent is half of its diagonal length. If the diagonal length of the tent is 14 feet, what is the vertical height of the tent?

GPT-4o:

    To find the vertical height of the tent, we need to use the given information that the vertical height is half of the diagonal length.

    Given:
    - Diagonal length of the tent = 14 feet

    The vertical height is half of the diagonal length, so we calculate it as follows:
    \[ \text{Vertical height} = \frac{1}{2} \times \text{Diagonal length} \]
    \[ \text{Vertical height} = \frac{1}{2} \times 14 \]
    \[ \text{Vertical height} = 7 \text{ feet} \]

    ### Answer: 7 feet

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A café sells hot chocolate. Each cup of hot chocolate contains 11 marshmallows. If a customer finds 22 marshmallows in their hot chocolate, how many cups of hot chocolate did they purchase?

GPT-4o:

    To determine how many cups of hot chocolate the customer purchased, we need to divide the total number of marshmallows by the number of marshmallows per cup.

    Given:
    - Each cup of hot chocolate contains 11 marshmallows.
    - The customer found 22 marshmallows in their hot chocolate.

    We perform the division:
    \[ \frac{22 \text{ marshmallows}}{11 \text{ marshmallows per cup}} = 2 \text{ cups} \]

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A farmer has a unique breed of tomatoes. When he harvests them, he realizes that the total weight (in kilograms) of the tomatoes, divided equally into 4, gives 11 kilograms per group. How much is the total weight of the tomatoes?

GPT-4o:

    To find the total weight of the tomatoes, we need to determine the total weight that, when divided by 4, gives 11 kilograms per group.

    Let's denote the total weight of the tomatoes as \( W \).

    According to the problem, dividing the total weight \( W \) by 4 results in 11 kilograms per group:
    \[ \frac{W}{4} = 11 \]

    To find \( W \), we multiply both sides of the equation by 4:
    \[ W = 11 \times 4 \]
    \[ W = 44 \]

    Therefore, the total weight of the tomatoes is 44 kilograms.

    ### Answer: 44

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: Sarah has 45 pairs of laces for her ice skates. If she uses the same amount of laces for each pair of ice skates, and that amount is 5, how many pairs of ice skates does Sarah have?

GPT-4o:

    To determine how many pairs of ice skates Sarah has, we need to divide the total number of laces by the number of laces used per pair of ice skates.

    Given:
    - Total pairs of laces = 45
    - Laces used per pair of ice skates = 5

    We perform the division:
    \[ \text{Number of pairs of ice skates} = \frac{\text{Total pairs of laces}}{\text{Laces used per pair}} = \frac{45}{5} = 9 \]

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: On a breezeless day, a wind turbine rotates at half of its speed compared to a windy day. If the wind turbine rotates at 3 revolutions per minute on a breezeless day, how many revolutions per minute does it make on a windy day?

GPT-4o:

    To determine the number of revolutions per minute the wind turbine makes on a windy day, we start by noting that on a breezeless day, it rotates at half the speed compared to a windy day.

    Given:
    - Speed on a breezeless day = 3 revolutions per minute
    - Speed on a breezeless day = 1/2 * Speed on a windy day

    Let \( x \) be the speed on a windy day in revolutions per minute. According to the problem, we have:
    \[ \frac{1}{2}x = 3 \]

    To find \( x \), we solve the equation:
    \[ x = 3 \times 2 \]
    \[ x = 6 \]

    Therefore, the wind turbine rotates at 6 revolutions per minute on a windy day.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: In a roller skate shop, a customer can rent roller skates for a few hours. For each hour, the charge is 5 dollars. If the total charge was 15 dollars, for how many hours did the customer rent the roller skates?

GPT-4o:

    To determine the number of hours the customer rented the roller skates, we need to divide the total charge by the hourly rate.

    The total charge is $15, and the hourly rate is $5 per hour.

    We perform the division:
    \[ \frac{15 \text{ dollars}}{5 \text{ dollars per hour}} = 3 \text{ hours} \]

    ### Answer: 3 hours

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Marie grew a truly bountiful crop of tomatoes this year, yielding 108 tomatoes. If she managed to pack the same number of tomatoes into each box and ended up with 12 boxes, how many tomatoes did each box contain?

GPT-4o:

    To determine how many tomatoes each box contained, we need to divide the total number of tomatoes by the number of boxes.

    Given:
    - Total number of tomatoes = 108
    - Number of boxes = 12

    We perform the division:
    \[ \frac{108}{12} = 9 \]

    So, each box contained 9 tomatoes.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: On a sunny beach day, a group of children starts a fun game. Each child gets to throw a beach ball 7 times in a row. If there have been 21 beach ball throws in total, how many children are there?

GPT-4o:

    To determine the number of children, we need to divide the total number of beach ball throws by the number of throws each child gets.

    Given:
    - Each child throws the beach ball 7 times.
    - There have been 21 beach ball throws in total.

    We can set up the equation:
    \[ \text{Number of children} \times 7 = 21 \]

    Solving for the number of children:
    \[ \text{Number of children} = \frac{21}{7} \]
    \[ \text{Number of children} = 3 \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A mermaid finds a magical clam that generates pearls. The clam can generate 4 pearls every day. The mermaid wants to know how many pearls she will get after 1 day, how many pearls will she have?

GPT-4o:

    To determine how many pearls the mermaid will get after 1 day, we need to consider the rate at which the clam generates pearls.

    The clam generates 4 pearls every day.

    So, after 1 day, the number of pearls generated will be:
    \[ 4 \text{ pearls/day} \times 1 \text{ day} = 4 \text{ pearls} \]

    ### Answer: 4 pearls

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There are 4 liters of juice available at a party. Each guest at the party had an equal share of the juice and each got 1 litre. How many guests attended the party?

GPT-4o:

    To determine the number of guests at the party, we need to divide the total amount of juice by the amount each guest received.

    Given:
    - Total juice available = 4 liters
    - Juice per guest = 1 liter

    We calculate the number of guests by dividing the total juice by the juice per guest:
    \[ \text{Number of guests} = \frac{\text{Total juice}}{\text{Juice per guest}} = \frac{4 \text{ liters}}{1 \text{ liter/guest}} = 4 \]

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There are 40 oranges in several boxes. If each box contains 5 oranges, how many boxes are there?

GPT-4o:

    To determine the number of boxes, we need to divide the total number of oranges by the number of oranges per box.

    Given:
    - Total number of oranges = 40
    - Number of oranges per box = 5

    We perform the division:
    \[ \frac{40 \text{ oranges}}{5 \text{ oranges/box}} = 8 \text{ boxes} \]

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A jungle gym has different sections. A total of 77 children are able to play on the gym at one time due to safety restrictions. If each section allows for 7 children to play at once, how many sections does the jungle gym have?

GPT-4o:

    To determine the number of sections in the jungle gym, we need to divide the total number of children by the number of children each section can accommodate.

    Given:
    - Total number of children: 77
    - Number of children per section: 7

    We perform the division:
    \[ \frac{77}{7} = 11 \]

    Thus, the jungle gym has 11 sections.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: In a national park, rangers found that there are 12 bear footprints. If each bear has a total of 6 footprints, how many bears passed through the park?

GPT-4o:

    To determine how many bears passed through the park, we need to divide the total number of bear footprints by the number of footprints each bear leaves.

    Given:
    - Total number of bear footprints = 12
    - Number of footprints each bear leaves = 6

    We perform the division:
    \[ \text{Number of bears} = \frac{\text{Total number of bear footprints}}{\text{Number of footprints each bear leaves}} \]
    \[ \text{Number of bears} = \frac{12}{6} \]
    \[ \text{Number of bears} = 2 \]

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Lisa has a laundry basket full of socks. She has 24 socks in total, and all the socks are paired. If each pair contains 2 socks, how many pairs of socks does Lisa have?

GPT-4o:

    To determine the number of pairs of socks Lisa has, we need to divide the total number of socks by the number of socks in each pair.

    Given:
    - Total number of socks = 24
    - Each pair contains = 2 socks

    We perform the division:
    \[ \text{Number of pairs} = \frac{\text{Total number of socks}}{\text{Number of socks per pair}} = \frac{24}{2} = 12 \]

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a supermarket, there are 56 tubes of toothpaste on the shelf. If there are 7 tubes of toothpaste for each different flavor, how many different flavors are there?

GPT-4o:

    To determine the number of different flavors of toothpaste, we need to divide the total number of tubes by the number of tubes per flavor.

    Given:
    - Total number of tubes of toothpaste = 56
    - Number of tubes per flavor = 7

    We perform the division:
    \[ \text{Number of different flavors} = \frac{56}{7} \]

    Calculating the division:
    \[ \frac{56}{7} = 8 \]

    Therefore, there are 8 different flavors of toothpaste.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A photographer took 60 pictures using a newly designed camera. If each developed photo roll from the camera can hold up to 5 pictures, how many photo rolls did he use?

GPT-4o:

    To determine how many photo rolls the photographer used, we need to divide the total number of pictures by the number of pictures each roll can hold.

    Given:
    - Total pictures taken: 60
    - Pictures per roll: 5

    We perform the division:
    \[ \frac{60}{5} = 12 \]

    So, the photographer used 12 photo rolls.

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a particular area of the ocean, there are 90 dolphins. If each pod consists of 9 dolphins, how many pods are there?

GPT-4o:

    To determine the number of pods, we need to divide the total number of dolphins by the number of dolphins per pod.

    Given:
    - Total number of dolphins = 90
    - Number of dolphins per pod = 9

    We perform the division:
    \[ \frac{90}{9} = 10 \]

    So, there are 10 pods of dolphins.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: In a community of mermaids, the coral gardens need care and maintenance. It takes 18 hours for a group of mermaids to clean the coral garden. If each mermaid worked for 9 hours, how many mermaids were in the group?

GPT-4o:

    To determine the number of mermaids in the group, we can use the formula for work, which is:

    \[ \text{Total Work} = \text{Number of Workers} \times \text{Time Worked per Worker} \]

    Given:
    - Total work required to clean the coral garden = 18 hours (for the entire group)
    - Each mermaid works for 9 hours

    Let \( n \) be the number of mermaids in the group. The total work done by the group can also be expressed as:

    \[ 18 \text{ hours} = n \times 9 \text{ hours} \]

    To find \( n \), we solve the equation:

    \[ n \times 9 = 18 \]

    Divide both sides by 9:

    \[ n = \frac{18}{9} \]

    \[ n = 2 \]

    So, there were 2 mermaids in the group.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A father wants to set a limit on his son's screen time. He measures the daily television (TV) viewing time in hours. If he sets a limit of 3 hours per day, then how many hours will his son get to watch TV in one day?

GPT-4o:

    The father sets a limit of 3 hours per day for his son's TV viewing time. Therefore, the son will get to watch TV for 3 hours in one day.

    ### Answer: 3 hours

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: At the children's park, there is a long slide which is 24 feet in length. If one segment of the slide is equal to 12 feet, how many segments are there in total on the slide?

GPT-4o:

    To determine the number of segments on the slide, we need to divide the total length of the slide by the length of one segment.

    Given:
    - Total length of the slide = 24 feet
    - Length of one segment = 12 feet

    We perform the division:
    \[ \text{Number of segments} = \frac{\text{Total length of the slide}}{\text{Length of one segment}} = \frac{24 \text{ feet}}{12 \text{ feet}} = 2 \]

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a grocery store, every batch of strawberries has the same number of strawberries. If three batches contain a total of 6 strawberries, how many strawberries are there in one batch?

GPT-4o:

    To determine the number of strawberries in one batch, we start by noting that three batches contain a total of 6 strawberries.

    We can set up the equation:
    \[ 3 \times \text{number of strawberries per batch} = 6 \]

    Let \( x \) represent the number of strawberries in one batch. Then the equation becomes:
    \[ 3x = 6 \]

    To solve for \( x \), we divide both sides of the equation by 3:
    \[ x = \frac{6}{3} \]
    \[ x = 2 \]

    Thus, there are 2 strawberries in one batch.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A toy car factory produces a certain constant number of cars in 1 hour. If the factory produces 8 cars in one hour, what is this production rate constant?

GPT-4o:

    To determine the production rate constant, we need to identify the number of cars produced per hour. According to the problem, the factory produces 8 cars in one hour.

    Thus, the production rate constant is 8 cars per hour.

    ### Answer: 8 cars per hour.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A watch store has 50 watches in stock, and they are divided equally into some display cases. If each display case contains 10 watches, how many display cases are there in the store?

GPT-4o:

    To determine the number of display cases, we need to divide the total number of watches by the number of watches per display case.

    Given:
    - Total number of watches = 50
    - Number of watches per display case = 10

    We perform the division:
    \[ \frac{50 \text{ watches}}{10 \text{ watches per display case}} = 5 \text{ display cases} \]

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Linda has a collection of dolls. She noticed that if she doubles the quantity of one specific model, she would have 2 dolls of that model. How many dolls of that model does she currently have?

GPT-4o:

    Let's denote the number of dolls of that specific model that Linda currently has as \( x \).

    According to the problem, if she doubles the quantity of that model, she would have 2 dolls. This can be written as:
    \[ 2x = 2 \]

    To find \( x \), we solve the equation:
    \[ x = \frac{2}{2} \]
    \[ x = 1 \]

    So, Linda currently has 1 doll of that specific model.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a medieval castle, a soldier can secure 5 rooms every hour. He has secured 30 rooms in total. How many hours did the soldier work to secure all these rooms?

GPT-4o:

    To determine how many hours the soldier worked to secure all 30 rooms, we need to divide the total number of rooms by the number of rooms he can secure per hour.

    Given:
    - The soldier can secure 5 rooms every hour.
    - The total number of rooms secured is 30.

    We use the formula:
    \[ \text{Number of hours} = \frac{\text{Total number of rooms}}{\text{Rooms secured per hour}} \]

    Substituting the given values:
    \[ \text{Number of hours} = \frac{30}{5} \]

    Performing the division:
    \[ \text{Number of hours} = 6 \]

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A puzzle consists of several pieces. If you divide the total number of pieces by 9, it gives you 11. How many pieces are there in the puzzle?

GPT-4o:

    To find the total number of pieces in the puzzle, we need to solve the equation where the total number of pieces divided by 9 equals 11.

    Let's denote the total number of pieces by \( x \).

    According to the problem:
    \[ \frac{x}{9} = 11 \]

    To find \( x \), we multiply both sides of the equation by 9:
    \[ x = 11 \times 9 \]
    \[ x = 99 \]

    So, the total number of pieces in the puzzle is 99.

    ### Answer: 99

Expected answer: 99

Correct? Yes

🔗 Problem

Problem: A blanket making company can make 35 blankets in a week. If they make the same number of blankets every day, how many blankets do they make in a day?

GPT-4o:

    To determine how many blankets the company makes in a day, we need to divide the total number of blankets made in a week by the number of days in a week.

    The company makes 35 blankets in a week, and there are 7 days in a week.

    So, we calculate:
    \[ \frac{35 \text{ blankets}}{7 \text{ days}} = 5 \text{ blankets per day} \]

    ### Answer: 5 blankets per day.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A student has a total of 2 packs of pencils. Each pack contains 3 pencils. How many pencils does the student have in total?

GPT-4o:

    To determine the total number of pencils the student has, we need to multiply the number of packs by the number of pencils in each pack.

    Given:
    - Number of packs = 2
    - Number of pencils per pack = 3

    We calculate the total number of pencils as follows:
    \[ \text{Total pencils} = \text{Number of packs} \times \text{Number of pencils per pack} \]
    \[ \text{Total pencils} = 2 \times 3 \]
    \[ \text{Total pencils} = 6 \]

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: In a juice bar, a fruit section has 45 liters of freshly squeezed orange juice. If each serving of juice requires the same amount in liters, and the quantity is such that it yields 5 servings, what is the quantity in liters of each serving?

GPT-4o:

    To determine the quantity in liters of each serving, we need to divide the total amount of orange juice by the number of servings.

    Given:
    - Total amount of orange juice = 45 liters
    - Number of servings = 5

    We use the formula:
    \[ \text{Quantity per serving} = \frac{\text{Total amount of juice}}{\text{Number of servings}} \]

    Substituting the given values:
    \[ \text{Quantity per serving} = \frac{45 \text{ liters}}{5} \]

    Performing the division:
    \[ \text{Quantity per serving} = 9 \text{ liters} \]

    ### Answer: 9 liters

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A clothing store owner has 24 pants in stock. If each box of pants he ordered contains 12 pants, how many boxes did he order?

GPT-4o:

    To determine how many boxes of pants the clothing store owner ordered, we need to divide the total number of pants by the number of pants in each box.

    Given:
    - Total number of pants = 24
    - Number of pants per box = 12

    We perform the division:
    \[ \frac{24}{12} = 2 \]

    So, the clothing store owner ordered 2 boxes of pants.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a forest, there are bears that stand 8 feet tall each. If the total height of all bears standing together is 8 feet, how many bears are there?

GPT-4o:

    To determine the number of bears, we need to divide the total height of all the bears by the height of one bear.

    Given:
    - Each bear stands 8 feet tall.
    - The total height of all bears standing together is 8 feet.

    We can set up the equation:
    \[
    \text{Number of bears} = \frac{\text{Total height of all bears}}{\text{Height of one bear}}
    \]

    Substituting the given values:
    \[
    \text{Number of bears} = \frac{8 \text{ feet}}{8 \text{ feet/bear}} = 1 \text{ bear}
    \]

    ### Answer: 1 bear

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A pillow manufacturer produces i pillows each day. If this number is divided by 11, the result is 6 pillows. What is the total number of pillows the manufacturer produces each day?

GPT-4o:

    To find the total number of pillows the manufacturer produces each day, we need to solve the equation given by the problem. The problem states that when the number of pillows \( i \) is divided by 11, the result is 6. This can be written as:

    \[ \frac{i}{11} = 6 \]

    To find \( i \), we multiply both sides of the equation by 11:

    \[ i = 6 \times 11 \]

    \[ i = 66 \]

    So, the manufacturer produces 66 pillows each day.

    ### Answer: 66

Expected answer: 66

Correct? Yes

🔗 Problem

Problem: A warehouse stores 70 crayons and they are distributed equally into multiple boxes. If each box contains 10 crayons, how many boxes are there in the warehouse?

GPT-4o:

    To determine the number of boxes in the warehouse, we need to divide the total number of crayons by the number of crayons per box.

    Given:
    - Total number of crayons = 70
    - Number of crayons per box = 10

    We perform the division:
    \[ \frac{70 \text{ crayons}}{10 \text{ crayons/box}} = 7 \text{ boxes} \]

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A song lasts for 90 seconds. If every verse takes exactly the same amount of time and the entire song contains 10 verses, how long does each verse last?

GPT-4o:

    To determine how long each verse lasts, we need to divide the total duration of the song by the number of verses.

    The total duration of the song is 90 seconds, and there are 10 verses.

    We perform the division:
    \[ \frac{90 \text{ seconds}}{10 \text{ verses}} = 9 \text{ seconds per verse} \]

    ### Answer: 9 seconds per verse.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: In a forest nursery, each of the seed trays contains 8 tree saplings. If the total number of saplings is 16, how many seed trays are there?

GPT-4o:

    To determine the number of seed trays, we need to divide the total number of saplings by the number of saplings per tray.

    Given:
    - Total number of saplings = 16
    - Number of saplings per tray = 8

    We perform the division:
    \[ \text{Number of seed trays} = \frac{\text{Total number of saplings}}{\text{Number of saplings per tray}} = \frac{16}{8} = 2 \]

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a jewelry store, there are 10 bracelets made by one craftsman. If each craftsman made exactly the same amount of bracelets, and there is 1 bracelet per craftsman displayed in the showroom, how many craftsmen's work is displayed in the showroom?

GPT-4o:

    To determine how many craftsmen's work is displayed in the showroom, we need to understand the relationship between the total number of bracelets and the number of craftsmen.

    Given:
    - There are 10 bracelets made by one craftsman.
    - There is 1 bracelet per craftsman displayed in the showroom.

    Since each craftsman made 10 bracelets and only 1 bracelet per craftsman is displayed, the number of craftsmen whose work is displayed in the showroom is equal to the number of bracelets displayed.

    Therefore, if there is 1 bracelet per craftsman displayed, the number of craftsmen's work displayed in the showroom is simply the number of bracelets displayed.

    ### Answer: 1

Expected answer: 10

Correct? No

🔗 Problem

Problem: A giraffe spent 2 hours eating leaves. If the giraffe consumes 12 kilograms of leaves in this period, how many kilograms of leaves does the giraffe eat per hour?

GPT-4o:

    To determine how many kilograms of leaves the giraffe eats per hour, we need to divide the total amount of leaves consumed by the total time spent eating.

    The giraffe consumes 12 kilograms of leaves in 2 hours. Therefore, we calculate the rate of consumption per hour as follows:

    \[
    \text{Kilograms per hour} = \frac{\text{Total kilograms}}{\text{Total hours}} = \frac{12 \text{ kg}}{2 \text{ hours}} = 6 \text{ kg/hour}
    \]

    ### Answer: 6 kg/hour

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A jewelry maker has a total of 36 beads. They want to create a bracelet which involves 9 beads each. How many bracelets can the jewelry maker create?

GPT-4o:

    To determine how many bracelets the jewelry maker can create, we need to divide the total number of beads by the number of beads required for each bracelet.

    Given:
    - Total number of beads = 36
    - Number of beads per bracelet = 9

    We perform the division:
    \[ \frac{36}{9} = 4 \]

    So, the jewelry maker can create 4 bracelets.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a jungle gym, there are a certain amount of play sections. Each play section has 7 monkeys playing on it. If there are 35 monkeys in total, how many play sections are there in the jungle gym?

GPT-4o:

    To determine the number of play sections in the jungle gym, we need to divide the total number of monkeys by the number of monkeys per play section.

    Given:
    - Total number of monkeys = 35
    - Monkeys per play section = 7

    We perform the division:
    \[ \text{Number of play sections} = \frac{\text{Total number of monkeys}}{\text{Monkeys per play section}} \]
    \[ \text{Number of play sections} = \frac{35}{7} \]
    \[ \text{Number of play sections} = 5 \]

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A person watches a 56-hour long TV series. If they watch the same amount of hours each day and they finish watching in 7 days, how many hours do they watch per day?

GPT-4o:

    To determine how many hours the person watches per day, we need to divide the total number of hours by the number of days.

    The total number of hours is 56, and the number of days is 7.

    We perform the division:
    \[ \frac{56 \text{ hours}}{7 \text{ days}} = 8 \text{ hours/day} \]

    ### Answer: 8 hours/day

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a furniture warehouse, each door panel weighs 5kg. If the total weight of all door panels is 45kg, how many door panels are there in the warehouse?

GPT-4o:

    To determine the number of door panels in the warehouse, we need to divide the total weight of all door panels by the weight of each individual door panel.

    Given:
    - Total weight of all door panels = 45 kg
    - Weight of each door panel = 5 kg

    We can set up the equation:
    \[ \text{Number of door panels} = \frac{\text{Total weight}}{\text{Weight of each door panel}} \]

    Substituting the given values:
    \[ \text{Number of door panels} = \frac{45 \, \text{kg}}{5 \, \text{kg/panel}} \]

    Performing the division:
    \[ \text{Number of door panels} = 9 \]

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: There are 9 clouds in the sky. Each cloud has the exact same weight (w). What is the weight of one cloud if the total weight of all the 9 clouds is 9?

GPT-4o:

    To find the weight of one cloud, we need to divide the total weight of all the clouds by the number of clouds.

    Given:
    - Total weight of all 9 clouds = 9
    - Number of clouds = 9

    We can set up the equation:
    \[ 9 \times w = 9 \]

    To solve for \( w \), we divide both sides of the equation by 9:
    \[ w = \frac{9}{9} \]
    \[ w = 1 \]

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A train travels at a certain speed. If that speed is halved, it goes at 3 km/hr. What is the original speed of the train in km/hr?

GPT-4o:

    Let's denote the original speed of the train as \( S \) km/hr.

    According to the problem, if the speed is halved, the train travels at 3 km/hr. Therefore, we can write the equation:
    \[
    \frac{S}{2} = 3
    \]

    To find the original speed \( S \), we need to solve for \( S \). We do this by multiplying both sides of the equation by 2:
    \[
    S = 3 \times 2
    \]
    \[
    S = 6
    \]

    ### Answer: 6 km/hr

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: James has a toy car collection. He noticed that when he counts his collection, he gets a total of 12 cars. If each type of car he has comes in pairs, how many types of toy cars does James have?

GPT-4o:

    To determine the number of types of toy cars James has, we need to recognize that each type of car comes in pairs. This means that for each type, there are 2 cars.

    Given that James has a total of 12 cars, we can set up the following equation to find the number of types of cars:

    \[ \text{Number of types} \times 2 = 12 \]

    Let \( x \) represent the number of types of toy cars. Then we have:

    \[ x \times 2 = 12 \]

    To solve for \( x \), we divide both sides of the equation by 2:

    \[ x = \frac{12}{2} \]

    \[ x = 6 \]

    Therefore, James has 6 types of toy cars.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A sailor has several identical boats. If all of his boats are out in the water, there are 8 boats sailing in total. If each boat comes in pairs, how many pairs of boats does the sailor own?

GPT-4o:

    To determine the number of pairs of boats the sailor owns, we need to divide the total number of boats by the number of boats in each pair.

    Given:
    - Total number of boats = 8
    - Each pair consists of 2 boats

    We calculate the number of pairs by dividing the total number of boats by 2:

    \[
    \text{Number of pairs} = \frac{\text{Total number of boats}}{\text{Number of boats per pair}} = \frac{8}{2} = 4
    \]

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A farmer harvested 6 kilograms of tomatoes from his farm. If every basket he uses can carry 2 kilograms of tomatoes, how many baskets does he need to pack all his tomatoes?

GPT-4o:

    To determine how many baskets the farmer needs, we need to divide the total weight of the tomatoes by the capacity of each basket.

    The total weight of the tomatoes is 6 kilograms, and each basket can carry 2 kilograms.

    We perform the division:
    \[ \frac{6 \text{ kilograms}}{2 \text{ kilograms per basket}} = 3 \text{ baskets} \]

    Thus, the farmer needs 3 baskets to pack all his tomatoes.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A police officer notices that every car parked in the no-parking zone receives a ticket. If there are 6 cars parked in the no-parking zone and each is given one ticket, how many tickets does the officer distribute?

GPT-4o:

    To determine the number of tickets distributed, we need to consider the number of cars parked in the no-parking zone and the fact that each car receives one ticket.

    Given:
    - Number of cars parked in the no-parking zone = 6
    - Each car receives 1 ticket

    Calculation:
    Number of tickets distributed = Number of cars × Tickets per car
    Number of tickets distributed = 6 cars × 1 ticket per car = 6 tickets

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: The distance between two points on the moon is 96 miles. If each small sector of the moon covers 8 miles, then how many sectors are there between these two points?

GPT-4o:

    To determine how many sectors there are between the two points, we need to divide the total distance by the distance each sector covers.

    Given:
    - Total distance between the two points: 96 miles
    - Distance each sector covers: 8 miles

    We perform the division:
    \[ \frac{96 \text{ miles}}{8 \text{ miles/sector}} = 12 \text{ sectors} \]

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A vineyard worker has been assigned to pick grapes from a certain number of plants. He picks 24 bunches of grapes after picking from 4 plants. How many bunches of grapes does he pick from each plant?

GPT-4o:

    To determine how many bunches of grapes the vineyard worker picks from each plant, we need to divide the total number of bunches by the number of plants.

    The worker picks 24 bunches of grapes from 4 plants. Therefore, we calculate:

    \[
    \frac{24 \text{ bunches}}{4 \text{ plants}} = 6 \text{ bunches per plant}
    \]

    ### Answer: 6 bunches per plant.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A building has 120 square feet of window space. If each window takes up 10 square feet, how many windows are on the building?

GPT-4o:

    To determine how many windows are on the building, we need to divide the total window space by the area each window occupies.

    Given:
    - Total window space = 120 square feet
    - Area of each window = 10 square feet

    We perform the division:
    \[ \frac{120 \text{ square feet}}{10 \text{ square feet per window}} = 12 \text{ windows} \]

    ### Answer: 12

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: At a beach party, there are 55 beach balls available for guests to play with. If each color of beach ball is present in groups of 5, how many different colors of beach balls are there?

GPT-4o:

    To determine the number of different colors of beach balls, we need to divide the total number of beach balls by the number of beach balls per color.

    Given:
    - Total number of beach balls = 55
    - Number of beach balls per color = 5

    We perform the division:
    \[ \frac{55}{5} = 11 \]

    So, there are 11 different colors of beach balls.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A pirate finds a chest full of gold doubloons. If each doubloon weighs 9 grams and the total weight of all his doubloons is 90 grams, how many doubloons has the pirate found?

GPT-4o:

    To determine the number of doubloons the pirate has found, we need to divide the total weight of the doubloons by the weight of each individual doubloon.

    Given:
    - Each doubloon weighs 9 grams.
    - The total weight of all doubloons is 90 grams.

    We can set up the following equation to find the number of doubloons:
    \[ \text{Number of doubloons} = \frac{\text{Total weight}}{\text{Weight of each doubloon}} \]

    Substituting the given values:
    \[ \text{Number of doubloons} = \frac{90 \text{ grams}}{9 \text{ grams/doubloon}} \]

    Performing the division:
    \[ \text{Number of doubloons} = 10 \]

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A student has a total of 18 erasers. If he puts them into 6 equally-sized boxes, how many erasers would each box contain?

GPT-4o:

    To determine how many erasers each box would contain, we need to divide the total number of erasers by the number of boxes.

    The total number of erasers is 18, and the number of boxes is 6. We perform the division:

    \[ \frac{18}{6} = 3 \]

    So, each box would contain 3 erasers.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A beader has 36 beads for making bracelets. If each bracelet uses 12 beads, how many bracelets can the beader make?

GPT-4o:

    To determine how many bracelets the beader can make, we need to divide the total number of beads by the number of beads required for each bracelet.

    Given:
    - Total number of beads = 36
    - Number of beads per bracelet = 12

    We perform the division:
    \[ \frac{36}{12} = 3 \]

    So, the beader can make 3 bracelets.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Mountain Peak, the famous company for manufacturing bicycles, produces a new model of bicycles every year. Currently, they have 63 bicycles ready for sale. If each gear of the new model can sell exactly 7 bicycles, how many gears are there in the new model of the bicycle?

GPT-4o:

    To determine the number of gears in the new model of the bicycle, we need to divide the total number of bicycles by the number of bicycles each gear can sell.

    Given:
    - Total number of bicycles = 63
    - Each gear can sell = 7 bicycles

    We perform the division:
    \[ \text{Number of gears} = \frac{63}{7} \]

    Calculating the division:
    \[ \frac{63}{7} = 9 \]

    Therefore, there are 9 gears in the new model of the bicycle.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A contractor has 80 windows to fit into houses. If each house requires 8 windows, how many houses can the contractor completely outfit with window fittings?

GPT-4o:

    To determine how many houses the contractor can completely outfit with window fittings, we need to divide the total number of windows by the number of windows required per house.

    Given:
    - Total number of windows = 80
    - Number of windows required per house = 8

    We perform the division:
    \[ \frac{80}{8} = 10 \]

    So, the contractor can completely outfit 10 houses with window fittings.

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A compass maker sells 12 compasses each day for a certain number of days. After a while, he has sold a total of 84 compasses. How many days did it take to sell this many compasses?

GPT-4o:

    To determine the number of days it took for the compass maker to sell 84 compasses, we can set up the following equation:

    \[ \text{Number of compasses sold per day} \times \text{Number of days} = \text{Total number of compasses sold} \]

    Given:
    - Number of compasses sold per day = 12
    - Total number of compasses sold = 84

    Let \( d \) represent the number of days. The equation becomes:

    \[ 12d = 84 \]

    To find \( d \), we divide both sides of the equation by 12:

    \[ d = \frac{84}{12} \]

    \[ d = 7 \]

    So, it took 7 days to sell 84 compasses.

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A new computer lab at a school has 3 computers per row. If there are 7 rows in total, how many computers are there in the computer lab?

GPT-4o:

    To find the total number of computers in the computer lab, we need to multiply the number of computers per row by the number of rows.

    Given:
    - Number of computers per row = 3
    - Number of rows = 7

    We calculate:
    \[ \text{Total number of computers} = \text{Number of computers per row} \times \text{Number of rows} \]
    \[ \text{Total number of computers} = 3 \times 7 \]
    \[ \text{Total number of computers} = 21 \]

    ### Answer: 21

Expected answer: 21

Correct? Yes

🔗 Problem

Problem: A painter has 4 cups of yellow paint. If he uses those 4 cups to paint at a rate of 1 cup per large wall, how many large walls can he paint?

GPT-4o:

    To determine how many large walls the painter can paint, we need to divide the total amount of yellow paint by the amount of paint used per wall.

    The painter has 4 cups of yellow paint and uses 1 cup per large wall. Therefore, the number of large walls he can paint is:

    \[
    \frac{4 \text{ cups}}{1 \text{ cup per wall}} = 4 \text{ walls}
    \]

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a lemon farm, each tree produces lemons in a consistent way. If 6 trees can produce 60 lemons in total, how many lemons does each tree, on average, produce?

GPT-4o:

    To determine the average number of lemons produced by each tree, we need to divide the total number of lemons by the number of trees.

    Given:
    - Total number of lemons = 60
    - Number of trees = 6

    We calculate the average number of lemons per tree as follows:
    \[
    \text{Average number of lemons per tree} = \frac{\text{Total number of lemons}}{\text{Number of trees}} = \frac{60}{6} = 10
    \]

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: In a library, there are 9 books that form a complete series. If each book in the series corresponds to 1 complete story, how many stories are in the series?

GPT-4o:

    Since each book in the series corresponds to 1 complete story and there are 9 books in the series, the total number of stories in the series is simply the number of books.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A clothing factory has 6 yards of fabric to make shirts. Each shirt requires 3 yards of fabric. How many shirts can the factory make?

GPT-4o:

    To determine how many shirts the factory can make, we need to divide the total amount of fabric by the amount of fabric required for each shirt.

    Given:
    - Total fabric = 6 yards
    - Fabric required per shirt = 3 yards

    We perform the division:
    \[ \text{Number of shirts} = \frac{\text{Total fabric}}{\text{Fabric required per shirt}} = \frac{6 \text{ yards}}{3 \text{ yards/shirt}} = 2 \text{ shirts} \]

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: There are 24 train compartments in a train. Each train car consists of 8 compartments. How many cars does the train have?

GPT-4o:

    To determine the number of train cars, we need to divide the total number of compartments by the number of compartments per car.

    Given:
    - Total number of compartments = 24
    - Number of compartments per car = 8

    We perform the division:
    \[ \frac{24 \text{ compartments}}{8 \text{ compartments per car}} = 3 \text{ cars} \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A clothing factory produces pants and is currently working on 32 pairs. Each rack in the factory can hold 8 pairs of pants. How many racks are being used to hold all the pants?

GPT-4o:

    To determine how many racks are being used to hold all the pants, we need to divide the total number of pairs of pants by the number of pairs each rack can hold.

    Given:
    - Total pairs of pants = 32
    - Pairs of pants per rack = 8

    We perform the division:
    \[ \frac{32}{8} = 4 \]

    So, the factory is using 4 racks to hold all the pants.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A contractor is designing a large window for a client. The window is to be separated into smaller square panes. If each square pane has 9 square inches of glass and total square inches of glass used for the large window is 36, what is the number of square panes in the window?

GPT-4o:

    To determine the number of square panes in the window, we need to divide the total area of the large window by the area of each square pane.

    1. The area of each square pane is given as 9 square inches.
    2. The total area of the large window is given as 36 square inches.

    We can find the number of square panes by dividing the total area by the area of each pane:

    \[
    \text{Number of square panes} = \frac{\text{Total area of the large window}}{\text{Area of each square pane}} = \frac{36 \text{ square inches}}{9 \text{ square inches per pane}}
    \]

    \[
    \text{Number of square panes} = \frac{36}{9} = 4
    \]

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Granny loves to knit blankets for her grandchildren. She uses 12 balls of yarn for each blanket. If Granny has 72 balls of yarn, how many blankets can she knit?

GPT-4o:

    To determine how many blankets Granny can knit, we need to divide the total number of balls of yarn by the number of balls required for each blanket.

    Granny has 72 balls of yarn and uses 12 balls of yarn per blanket. We perform the division:

    \[ \frac{72 \text{ balls}}{12 \text{ balls/blanket}} = 6 \text{ blankets} \]

    So, Granny can knit 6 blankets with 72 balls of yarn.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A dairy farm produces milk packets. Each day, it produces 3 times the amount of milk packets it produced on the previous day. If on the third day, it produced 33 milk packets, how many milk packets did it produce on the second day?

GPT-4o:

    To determine the number of milk packets produced on the second day, we need to work backwards from the third day.

    Given that the dairy farm produces 3 times the amount of milk packets each day compared to the previous day, we can set up the following relationship:

    Let \( P_2 \) be the number of milk packets produced on the second day. According to the problem, the number of milk packets produced on the third day (\( P_3 \)) is 33, and this is 3 times the number of milk packets produced on the second day.

    So, we have:
    \[ P_3 = 3 \times P_2 \]

    Substituting the given value for \( P_3 \):
    \[ 33 = 3 \times P_2 \]

    To find \( P_2 \), we divide both sides of the equation by 3:
    \[ P_2 = \frac{33}{3} \]
    \[ P_2 = 11 \]

    Therefore, the number of milk packets produced on the second day is 11.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A helicopter company has a policy of ensuring that each of their helicopters gets 10 hours of maintenance for every time it's used. If a particular helicopter has had 70 hours of maintenance, how many times has it been used?

GPT-4o:

    To determine how many times the helicopter has been used, we need to divide the total hours of maintenance by the number of hours of maintenance required per use.

    Given:
    - Total hours of maintenance = 70 hours
    - Maintenance required per use = 10 hours

    We perform the division:
    \[ \text{Number of times used} = \frac{\text{Total hours of maintenance}}{\text{Maintenance required per use}} = \frac{70}{10} = 7 \]

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: There are 6 elephants in the zoo and they are divided into different habitats. If each habitat has 2 elephants, how many habitats are there in the zoo?

GPT-4o:

    To determine the number of habitats in the zoo, we need to divide the total number of elephants by the number of elephants per habitat.

    Given:
    - Total number of elephants = 6
    - Number of elephants per habitat = 2

    We perform the division:
    \[ \text{Number of habitats} = \frac{\text{Total number of elephants}}{\text{Number of elephants per habitat}} = \frac{6}{2} = 3 \]

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A dolphin can jump 5 times in a single minute. If a dolphin continuously jumps for 'p' minutes, it can jump 60 times. How many minutes did the dolphin jump for?

GPT-4o:

    To determine how many minutes the dolphin jumped for, we start by using the given information that the dolphin can jump 5 times in a single minute.

    We are also given that the dolphin made a total of 60 jumps.

    We can set up the equation based on the rate of jumps per minute:
    \[ 5 \text{ jumps/minute} \times p \text{ minutes} = 60 \text{ jumps} \]

    To find \( p \), we solve for \( p \) by dividing both sides of the equation by 5:
    \[ p = \frac{60 \text{ jumps}}{5 \text{ jumps/minute}} \]
    \[ p = 12 \text{ minutes} \]

    ### Answer: 12 minutes

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: In a large forest, there are groups of trees. Each group has 7 trees. If there are 63 trees in total, how many groups of trees are there in the forest?

GPT-4o:

    To determine the number of groups of trees in the forest, we need to divide the total number of trees by the number of trees in each group.

    Given:
    - Total number of trees = 63
    - Number of trees in each group = 7

    We perform the division:
    \[ \frac{63}{7} = 9 \]

    So, there are 9 groups of trees in the forest.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A hat shop has created 96 new hats to sell. If each style has exactly 12 of the same hat, how many styles does the hat shop have?

GPT-4o:

    To determine how many styles the hat shop has, we need to divide the total number of hats by the number of hats per style.

    Given:
    - Total number of hats = 96
    - Number of hats per style = 12

    We perform the division:
    \[ \frac{96}{12} = 8 \]

    So, the hat shop has 8 different styles.

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a certain month, it rained consistently every couple of days. If it rained 24 days in total and each period of continuous rain lasted for 8 days, how many periods of rain were there in that month?

GPT-4o:

    To determine the number of periods of rain, we need to divide the total number of rainy days by the length of each period of continuous rain.

    Given:
    - Total number of rainy days = 24
    - Length of each period of continuous rain = 8 days

    We perform the division:
    \[ \frac{24 \text{ days}}{8 \text{ days/period}} = 3 \text{ periods} \]

    Thus, there were 3 periods of rain in that month.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a factory, 6 bottles are manufactured in a single cycle. If the factory has manufactured 48 bottles today, how many cycles of production have been performed?

GPT-4o:

    To determine the number of production cycles performed, we need to divide the total number of bottles manufactured by the number of bottles produced per cycle.

    Given:
    - Total bottles manufactured = 48
    - Bottles produced per cycle = 6

    We perform the division:
    \[ \text{Number of cycles} = \frac{\text{Total bottles}}{\text{Bottles per cycle}} = \frac{48}{6} \]

    Calculating the division:
    \[ \frac{48}{6} = 8 \]

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: At a live concert, a singer wants to sing 110 verses to entertain his fans. He decides to divide the verses evenly among 10 songs. How many verses will there be in each song?

GPT-4o:

    To determine how many verses will be in each song, we need to divide the total number of verses by the number of songs.

    Given:
    - Total number of verses = 110
    - Number of songs = 10

    We perform the division:
    \[ \frac{110 \text{ verses}}{10 \text{ songs}} = 11 \text{ verses per song} \]

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: In a photography studio, there are 16 cameras that are shared by photographers. If each photographer gets 2 cameras, how many photographers are there in the studio?

GPT-4o:

    To determine the number of photographers in the studio, we need to divide the total number of cameras by the number of cameras each photographer gets.

    Given:
    - Total number of cameras = 16
    - Each photographer gets = 2 cameras

    We perform the division:
    \[ \text{Number of photographers} = \frac{\text{Total number of cameras}}{\text{Cameras per photographer}} \]
    \[ \text{Number of photographers} = \frac{16}{2} \]
    \[ \text{Number of photographers} = 8 \]

    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: At a zoo, a group of 99 penguins need to be separated into different areas so each one has 9 penguins. How many areas are needed to separate all the penguins evenly?

GPT-4o:

    To determine how many areas are needed to separate 99 penguins so that each area has 9 penguins, we need to divide the total number of penguins by the number of penguins per area.

    Let's perform the division:

    \[ \frac{99}{9} = 11 \]

    So, 11 areas are needed to separate all the penguins evenly.

    ### Answer: 11

Expected answer: 11

Correct? Yes

🔗 Problem

Problem: A Piano teacher sets a task to practice specific pieces of music. Each piece takes 3 hours to practice thoroughly. If her student has 9 hours for practice, how many pieces can the student practice thoroughly?

GPT-4o:

    To determine how many pieces the student can practice thoroughly, we need to divide the total available practice time by the time required to practice each piece.

    The student has 9 hours available for practice, and each piece takes 3 hours to practice thoroughly.

    We perform the division:
    \[ \frac{9 \text{ hours}}{3 \text{ hours per piece}} = 3 \text{ pieces} \]

    Thus, the student can practice 3 pieces thoroughly.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: In a pillow factory, 3 pillows can be stitched from a certain amount of fabric. If the fabric used is divided by 6, that results in the number of pillows that can be made from it. How much fabric is used to make these 3 pillows?

GPT-4o:

    Let's denote the amount of fabric used to make 3 pillows as \( F \).

    According to the problem, if the fabric used is divided by 6, it results in the number of pillows that can be made from it. This means:
    \[ \frac{F}{6} = \text{number of pillows} \]

    We know that 3 pillows can be made from \( F \) amount of fabric. Therefore:
    \[ \frac{F}{6} = 3 \]

    To find \( F \), we solve the equation:
    \[ F = 3 \times 6 \]
    \[ F = 18 \]

    So, the amount of fabric used to make these 3 pillows is 18 units.

    ### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A stationery store sells pens in packs. If each pack contains 9 pens, and there are exactly 9 packs, how many pens are in the store?

GPT-4o:

    To determine the total number of pens in the store, we need to multiply the number of packs by the number of pens in each pack.

    Given:
    - Each pack contains 9 pens.
    - There are 9 packs.

    Calculation:
    \[ 9 \text{ packs} \times 9 \text{ pens per pack} = 81 \text{ pens} \]

    ### Answer: 81

Expected answer: 81

Correct? Yes

🔗 Problem

Problem: A tiger has 4 pounds of meat for his meal today. If one serving size is an eighth of a pound, then how many servings are in the tiger's meal?

GPT-4o:

    To determine how many servings are in the tiger's meal, we need to divide the total amount of meat by the size of one serving.

    The total amount of meat is 4 pounds, and one serving size is \(\frac{1}{8}\) of a pound.

    We can set up the division as follows:
    \[
    \text{Number of servings} = \frac{\text{Total amount of meat}}{\text{Serving size}} = \frac{4 \text{ pounds}}{\frac{1}{8} \text{ pound per serving}}
    \]

    To divide by a fraction, we multiply by its reciprocal:
    \[
    \frac{4}{\frac{1}{8}} = 4 \times 8 = 32
    \]

    So, there are 32 servings in the tiger's meal.

    ### Answer: 32

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: At a birthday party, there is a long string of 5 meters that is used for tying the balloons. If each balloon requires 1 meter of string to be tied, how many balloons can be tied with this string?

GPT-4o:

    To determine how many balloons can be tied with the 5-meter string, we need to divide the total length of the string by the length required for each balloon.

    Given:
    - Total length of the string = 5 meters
    - Length of string required per balloon = 1 meter

    We perform the division:
    \[ \text{Number of balloons} = \frac{\text{Total length of the string}}{\text{Length required per balloon}} = \frac{5 \text{ meters}}{1 \text{ meter/balloon}} = 5 \]

    Thus, 5 balloons can be tied with the 5-meter string.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A plane crashed into a deserted island and split into multiple parts. After an investigation, it was found that there were 48 parts in total. If each plane section accounts for 8 parts, how many sections did the plane originally have before the crash?

GPT-4o:

    To determine how many sections the plane originally had before the crash, we need to divide the total number of parts by the number of parts per section.

    Given:
    - Total parts = 48
    - Parts per section = 8

    We perform the division:
    \[ \frac{48}{8} = 6 \]

    So, the plane originally had 6 sections before the crash.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: A farmer has a field full of strawberry plants. He collects 40 strawberries and divides them equally among his friends. If each friend is given 4 strawberries, how many friends does the farmer have?

GPT-4o:

    To determine how many friends the farmer has, we need to divide the total number of strawberries by the number of strawberries each friend receives.

    The total number of strawberries is 40, and each friend receives 4 strawberries. We can set up the division as follows:

    \[ \text{Number of friends} = \frac{\text{Total strawberries}}{\text{Strawberries per friend}} \]

    Substituting the given values:

    \[ \text{Number of friends} = \frac{40}{4} \]

    Performing the division:

    \[ \text{Number of friends} = 10 \]

    ### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: On a fun fair, a hot chocolate booth sells their beverage for 10 dollars per cup. One day, they manage to earn a total of 70 dollars. How many cups of hot chocolate did they sell?

GPT-4o:

    To determine how many cups of hot chocolate were sold, we need to divide the total earnings by the price per cup.

    Given:
    - Total earnings = $70
    - Price per cup = $10

    We perform the division:
    \[
    \text{Number of cups} = \frac{\text{Total earnings}}{\text{Price per cup}} = \frac{70}{10} = 7
    \]

    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A jeweler has a certain amount of precious rings. If he sold 5 rings for a total of 35 dollars, how much does each ring cost?

GPT-4o:

    To determine the cost of each ring, we need to divide the total amount of money by the number of rings sold.

    The jeweler sold 5 rings for a total of 35 dollars. Therefore, the cost per ring is calculated as follows:

    \[
    \text{Cost per ring} = \frac{\text{Total amount}}{\text{Number of rings}} = \frac{35 \text{ dollars}}{5 \text{ rings}}
    \]

    \[
    \text{Cost per ring} = 7 \text{ dollars}
    \]

    ### Answer: 7 dollars

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: There are 60 lions in a national park. If the park authority decides to evenly distribute these lions into different regions such that each region has exactly 10 lions, how many regions would there be?

GPT-4o:

    To determine how many regions there would be, we need to divide the total number of lions by the number of lions per region.

    Given:
    - Total number of lions = 60
    - Number of lions per region = 10

    We perform the division:
    \[ \frac{60}{10} = 6 \]

    So, there would be 6 regions.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: For an upcoming clothing sale, a store decides to discount their jackets. After the discount, each jacket costs 6 dollars. If the original price was "d" dollars and it's now 1/5th of its original price, what was the original price of the jacket?

GPT-4o:

    To find the original price of the jacket, we need to set up an equation based on the information given. We know that the discounted price is 1/5th of the original price.

    Let the original price be \( d \) dollars.

    According to the problem, the discounted price is 1/5th of the original price:
    \[ \frac{d}{5} = 6 \]

    To find \( d \), we multiply both sides of the equation by 5:
    \[ d = 6 \times 5 \]
    \[ d = 30 \]

    ### Answer: 30 dollars

Expected answer: 30

Correct? Yes

🔗 Problem

Problem: In a zoo, each giraffe eats 7 pounds of food each day. If the total amount of food consumed by the giraffes is 28 pounds today, how many giraffes are there in the zoo?

GPT-4o:

    To determine the number of giraffes in the zoo, we need to divide the total amount of food consumed by the amount of food each giraffe eats per day.

    Given:
    - Each giraffe eats 7 pounds of food each day.
    - The total amount of food consumed by the giraffes is 28 pounds today.

    We can set up the equation:
    \[ \text{Number of giraffes} \times 7 \text{ pounds/giraffe} = 28 \text{ pounds} \]

    Let \( x \) be the number of giraffes. Then:
    \[ 7x = 28 \]

    To find \( x \), we divide both sides of the equation by 7:
    \[ x = \frac{28}{7} \]
    \[ x = 4 \]

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a shallow pool, a group of 30 starfish decided to divide themselves equally to live in different zones of the pool. If each zone contains 6 starfish, how many zones are there in total?

GPT-4o:

    To determine the number of zones, we need to divide the total number of starfish by the number of starfish per zone.

    Given:
    - Total number of starfish = 30
    - Number of starfish per zone = 6

    We perform the division:
    \[ \frac{30}{6} = 5 \]

    So, there are 5 zones in total.

    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: An astronaut has 88 hours of oxygen in his tank. If he can use this tank for 8 days, how many hours of oxygen does the tank provide each day?

GPT-4o:

    To determine how many hours of oxygen the tank provides each day, we need to divide the total number of hours of oxygen by the number of days.

    Given:
    - Total hours of oxygen = 88 hours
    - Number of days = 8 days

    We perform the division:
    \[ \frac{88 \text{ hours}}{8 \text{ days}} = 11 \text{ hours/day} \]

    ### Answer: 11 hours/day

Expected answer: 11

Correct? Yes