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?

Llama 3 8B:

Reasoning: Let's say the number of castles being built is x. Since each castle requires 5 builders, the total number of builders required is 5x. We know that there are 15 builders in total, so we can set up the equation:

5x = 15

To solve for x, we can divide both sides by 5:

x = 15/5

x = 3

So, the king is building 3 castles.

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of usages, we need to divide the total amount of toothpaste (77 grams) by the amount used per usage (11 grams).

77 grams (total) ÷ 11 grams (per usage) = 7

So, we can get 7 usages from this tube of toothpaste.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the watch manufacturer worked for x hours. Since they can produce 8 watches every hour, the total number of watches they produced is 8x.
We know that the total number of watches they produced is 48, so we can set up the equation 8x = 48.
To solve for x, we can divide both sides of the equation by 8, which gives us x = 48/8.
x = 6, so the watch manufacturer worked for 6 hours.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since there are only 3 toy mice available, and there are 3 kittens, we can divide the total number of toy mice by the number of kittens to find out how many toy mice each kitten has.

3 toy mice ÷ 3 kittens = 1 toy mouse per kitten

### Answer: 1

Expected answer: 1

Correct? Yes

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?

Llama 3 8B:

Reasoning: The tiger has 12 fishes initially. It eats 2 fishes per hour. To find the number of hours it takes to finish all the fishes, we can divide the initial number of fishes by the number of fishes eaten per hour.

12 (initial fishes) ÷ 2 (fishes eaten per hour) = 6 hours

### Answer: 6 hours

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each design requires 8 shirts, the number of designs can be found by dividing the total number of shirts printed (56) by the number of shirts required per design (8).
56 ÷ 8 = 7
### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the rider rode the scooter for x hours. Since the shop charges 7 dollars per hour, the total cost would be 7x dollars. We know that the total cost is 35 dollars, so we can set up the equation 7x = 35.

To solve for x, we can divide both sides of the equation by 7, which gives us x = 35/7.

x = 5

So, the rider rode the scooter for 5 hours.

### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Reasoning: The distance traveled is 32 miles, and the time taken is 8 hours. To find the speed, we can use the formula: Speed = Distance / Time.
Speed = 32 miles / 8 hours = 4 miles per hour.
### Answer: 4 miles per hour.

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of bracelets in each multiple is x. Since each collection consists of identical bracelets in distinct multiples of 11, we can write the number of bracelets in each collection as 11x, 22x, 33x, ..., 77x.

We know that the total number of bracelets is 77, so we can set up the equation:

11x + 22x + 33x + ... + 77x = 77

Combine like terms:

x(11 + 22 + 33 + ... + 77) = 77

Factor the left-hand side:

x(11(1 + 2 + 3 + ... + 7)) = 77

Use the formula for the sum of an arithmetic series:

x(11(7)(8)/2) = 77

Simplify:

x(77) = 77

Divide both sides by 77:

x = 1

### Answer: 11

Expected answer: 7

Correct? No

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?

Llama 3 8B:

Let's break this problem down step by step!

Let the vertical height of the tent be h feet.

Since the diagonal length is 14 feet, we can use the Pythagorean theorem to relate the diagonal length to the vertical height:

√(h² + h²) = 14

Simplifying the equation, we get:

2h² = 14²

h² = 196/2

h² = 98

Taking the square root of both sides:

h = √98

h ≈ 9.85 feet

So, the vertical height of the tent is approximately 9.85 feet.

### Answer: 9.85 feet.

Expected answer: 7

Correct? No

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?

Llama 3 8B:

Reasoning: Let's say the customer purchased x cups of hot chocolate. Since each cup contains 11 marshmallows, the total number of marshmallows in x cups is 11x. We know that the customer found 22 marshmallows, so we can set up the equation:

11x = 22

To solve for x, we can divide both sides by 11:

x = 22/11

x = 2

So, the customer purchased 2 cups of hot chocolate.

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the total weight of the tomatoes is x kilograms. Since the weight is divided equally into 4 groups, each group will have x/4 kilograms. We know that each group has 11 kilograms, so we can set up the equation:

x/4 = 11

To solve for x, we can multiply both sides by 4:

x = 11 × 4

x = 44

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

### Answer: 44

Expected answer: 44

Correct? Yes

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?

Llama 3 8B:

Reasoning: Sarah has 45 pairs of laces, and each pair of laces is used for one pair of ice skates. So, the number of pairs of ice skates is equal to the number of pairs of laces, which is 45.
### Answer: 45

Expected answer: 9

Correct? No

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?

Llama 3 8B:

Reasoning: Let's say the wind turbine rotates at x revolutions per minute on a windy day. Since it rotates at half the speed on a breezeless day, it rotates at x/2 revolutions per minute on a breezeless day. We know that on a breezeless day, the wind turbine rotates at 3 revolutions per minute, so we can set up the equation:

x/2 = 3

To solve for x, we can multiply both sides by 2:

x = 3 × 2
x = 6

So, the wind turbine rotates at 6 revolutions per minute on a windy day.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the customer rented the roller skates for x hours. Since the charge is 5 dollars per hour, the total charge would be 5x dollars. We know the total charge was 15 dollars, so we can set up the equation 5x = 15.

To solve for x, we can divide both sides of the equation by 5, which gives us x = 15/5.

x = 3

So, the customer rented the roller skates for 3 hours.

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since Marie ended up with 12 boxes, and she packed the same number of tomatoes into each box, we can divide the total number of tomatoes (108) by the number of boxes (12) to find the number of tomatoes in each box.

108 ÷ 12 = 9

So, each box contained 9 tomatoes.

### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say there are x children. Each child throws the beach ball 7 times, so the total number of throws is x * 7. We know that the total number of throws is 21, so we can set up the equation x * 7 = 21. To solve for x, we can divide both sides by 7, which gives us x = 21/7. Simplifying the fraction, we get x = 3.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: The clam generates 4 pearls every day. Since the mermaid wants to know how many pearls she will get after 1 day, we can simply multiply the number of pearls generated per day by 1 day.

4 pearls/day × 1 day = 4 pearls

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of guests is x. Since each guest got 1 liter of juice and there are 4 liters in total, we can set up the equation:

x × 1 = 4

To solve for x, we can divide both sides by 1:

x = 4 ÷ 1
x = 4

So, there were 4 guests at the party.
### Answer: 4

Expected answer: 4

Correct? Yes

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

Llama 3 8B:

Reasoning: Let's divide the total number of oranges (40) by the number of oranges in each box (5).
40 ÷ 5 = 8
### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of children (77) by the number of children each section can hold (7). This will give us the number of sections.

77 ÷ 7 = 11

So, the jungle gym has 11 sections.

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each bear has 6 footprints, the total number of footprints (12) is equal to the number of bears multiplied by 6. We can set up an equation:

12 = x × 6

To solve for x, we can divide both sides by 6:

x = 12 ÷ 6
x = 2

So, there are 2 bears that passed through the park.
### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each pair contains 2 socks, and Lisa has 24 socks in total, we can divide 24 by 2 to find the number of pairs: 24/2 = 12.
Since all the socks are paired, this means Lisa has 12 pairs of socks.
### Answer: 12

Expected answer: 12

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of tubes of toothpaste (56) by the number of tubes of toothpaste for each flavor (7).

56 ÷ 7 = 8

This means that there are 8 different flavors of toothpaste.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: The photographer took 60 pictures, and each roll can hold up to 5 pictures. To find the number of rolls used, we can divide the total number of pictures by the number of pictures each roll can hold:

60 ÷ 5 = 12

So, the photographer used 12 photo rolls.

### Answer: 12

Expected answer: 12

Correct? Yes

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

Llama 3 8B:

Reasoning: Since each pod consists of 9 dolphins, we can divide the total number of dolphins (90) by the number of dolphins in each pod (9) to find the number of pods.

90 ÷ 9 = 10

So, there are 10 pods of dolphins.

### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of mermaids in the group is x. Since each mermaid worked for 9 hours, the total number of hours worked by the group is 9x. We know that the total number of hours worked is equal to the time it takes to clean the coral garden, which is 18 hours. So, we can set up the equation:

9x = 18

To solve for x, we can divide both sides of the equation by 9:

x = 18/9

x = 2

So, there were 2 mermaids in the group.
### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: The father sets a limit of 3 hours per day, which means his son will be allowed to watch TV for exactly 3 hours in one day.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since one segment is equal to 12 feet, we can divide the total length of the slide (24 feet) by the length of one segment (12 feet) to find the number of segments.

24 feet (total length) ÷ 12 feet (length of one segment) = 2

So, there are 2 segments in total on the slide.

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Let's say the number of strawberries in one batch is x.

Since three batches contain a total of 6 strawberries, we can set up the equation:

3x = 6

To solve for x, we can divide both sides of the equation by 3:

x = 6 ÷ 3
x = 2

So, there are 2 strawberries in one batch.

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: The production rate constant is the number of cars produced in 1 hour. Since the factory produces 8 cars in one hour, the production rate constant is 8.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since the watches are divided equally into display cases, and each display case contains 10 watches, we can set up the equation:

Number of watches = Number of display cases × Number of watches per display case
50 = x × 10

To solve for x, we can divide both sides by 10:

x = 50 ÷ 10
x = 5

So, there are 5 display cases in the store.
### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Let's say Linda currently has x dolls of that specific model.

If she doubles the quantity, she would have 2 dolls, which means 2x = 2.

To find the value of x, we can divide both sides by 2:

x = 2/2
x = 1

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

### Answer: 1

Expected answer: 1

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the soldier worked for x hours. In that time, he secured 5x rooms.
We know that the soldier secured 30 rooms in total, so we can set up the equation 5x = 30.
To solve for x, we can divide both sides by 5, which gives us x = 30/5 = 6.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the total number of pieces is x. Since dividing x by 9 gives us 11, we can set up the equation:

x ÷ 9 = 11

To solve for x, we can multiply both sides of the equation by 9:

x = 11 × 9

x = 99

### Answer: 99

Expected answer: 99

Correct? Yes

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?

Llama 3 8B:

Reasoning: The company makes 35 blankets in a week, which is 7 days. To find out how many blankets they make in a day, we can divide the total number of blankets by the number of days: 35 ÷ 7 = 5.
### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each pack contains 3 pencils, and the student has 2 packs, we can multiply the number of packs by the number of pencils per pack to find the total number of pencils: 2 x 3 = 6.

The student has 6 pencils in total.

### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since the quantity of juice is 45 liters, and it yields 5 servings, we can divide the total quantity by the number of servings to find the quantity of each serving.

45 liters ÷ 5 servings = 9 liters

### Answer: 9 liters

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of pants the store owner has in stock (24) by the number of pants in each box (12). This will give us the number of boxes he ordered.

24 ÷ 12 = 2

So, the store owner ordered 2 boxes of pants.

### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say there are x bears. The total height of all bears standing together is 8 feet, which is equal to the height of each bear multiplied by the number of bears. So, we can set up the equation:

8 = 8x

To solve for x, we can divide both sides by 8:

x = 8/8

x = 1

So, there is only 1 bear.

### Answer: 1

Expected answer: 1

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's set up an equation based on the problem statement: i/11 = 6
To solve for i, we can multiply both sides by 11: i = 11 × 6
i = 66
### Answer: 66

Expected answer: 66

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since the crayons are distributed equally into multiple boxes, we can divide the total number of crayons (70) by the number of crayons in each box (10) to find the number of boxes.

70 ÷ 10 = 7

So, there are 7 boxes in the warehouse.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: The entire song lasts for 90 seconds. Since there are 10 verses, we can divide the total time by the number of verses to find the time each verse takes.

90 seconds ÷ 10 verses = 9 seconds

### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of seed trays is x. Since each seed tray contains 8 saplings, the total number of saplings is 8x. We know that the total number of saplings is 16, so we can set up the equation 8x = 16. To solve for x, we can divide both sides by 8, which gives us x = 16/8. Simplifying the fraction, we get x = 2.
### Answer: 2

Expected answer: 2

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each craftsman made the same amount of bracelets, and there are 10 bracelets in total, each craftsman must have made 10/1 = 10 bracelets.
Since there is 1 bracelet per craftsman displayed in the showroom, there must be 10 craftsmen's work displayed in the showroom.
### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: The giraffe spent 2 hours eating leaves, and consumed 12 kilograms of leaves in that time. To find out how many kilograms the giraffe eats per hour, we can divide the total amount of leaves consumed (12 kg) by the time spent eating (2 hours).

12 kg ÷ 2 hours = 6 kg/hour

### Answer: 6 kg/hour

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: The jewelry maker has 36 beads and wants to create a bracelet with 9 beads each. To find out how many bracelets they can create, we need to divide the total number of beads (36) by the number of beads per bracelet (9).

36 ÷ 9 = 4

So, the jewelry maker can create 4 bracelets.

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of play sections is x. Since each play section has 7 monkeys, the total number of monkeys is 7x. We know that the total number of monkeys is 35, so we can set up the equation:

7x = 35

To solve for x, we can divide both sides by 7:

x = 35/7

x = 5

So, there are 5 play sections in the jungle gym.
### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Reasoning: The person watches the TV series for 7 days, and the total hours watched is 56. To find the number of hours watched per day, we can divide the total hours by the number of days:

56 hours ÷ 7 days = 8 hours

So, the person watches 8 hours of TV per day.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of door panels is x. Since each door panel weighs 5kg, the total weight of all door panels is 5x kg. We know that the total weight is 45kg, so we can set up the equation:

5x = 45

To solve for x, we can divide both sides by 5:

x = 45/5

x = 9

So, there are 9 door panels in the warehouse.

### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each cloud has the same weight, we can represent the weight of one cloud as w. The total weight of all 9 clouds is the sum of their individual weights, which is 9.

We can set up an equation: w + w + w + w + w + w + w + w + w = 9

Combine like terms: 9w = 9

Divide both sides by 9: w = 1

So, the weight of one cloud is 1.

### Answer: 1

Expected answer: 1

Correct? Yes

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?

Llama 3 8B:

Let's say the original speed of the train is x km/hr.

Since the speed is halved, the new speed is x/2 km/hr.

We know that the new speed is 3 km/hr, so we can set up the equation:

x/2 = 3

To solve for x, we can multiply both sides by 2:

x = 3 × 2

x = 6

So, the original speed of the train is 6 km/hr.

### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each type of car comes in pairs, the total number of cars is equal to twice the number of types of cars. Let's say James has x types of cars. Then, 2x = 12, so x = 12/2 = 6.
James has 6 types of toy cars.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the sailor owns x pairs of boats. Since each boat comes in pairs, the total number of boats is 2x.
We know that the total number of boats is 8, so we can set up the equation 2x = 8.
Solving for x, we get x = 4.
This means the sailor owns 4 pairs of boats.
### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: The farmer has 6 kilograms of tomatoes. Each basket can carry 2 kilograms. To find the number of baskets needed, we can divide the total weight of tomatoes by the weight each basket can carry: 6 ÷ 2 = 3.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: The problem states that every car parked in the no-parking zone receives a ticket, and there are 6 cars parked in the no-parking zone. Therefore, the officer distributes 6 tickets.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: The distance between the two points is 96 miles. Each sector covers 8 miles. To find the number of sectors, we can divide the total distance by the distance each sector covers:

96 miles ÷ 8 miles/sector = 12 sectors

### Answer: 12

Expected answer: 12

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of bunches of grapes picked from each plant is x. Since he picked 24 bunches from 4 plants, we can set up the equation:

4x = 24

To find the value of x, we can divide both sides of the equation by 4:

x = 24/4

x = 6

So, the vineyard worker picks 6 bunches of grapes from each plant.

### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total window space (120 square feet) by the space taken up by each window (10 square feet).

120 ÷ 10 = 12

So, there are 12 windows on the building.

### Answer: 12

Expected answer: 12

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each color of beach ball is present in groups of 5, we can divide the total number of beach balls (55) by 5 to find the number of groups:

55 ÷ 5 = 11

This means there are 11 groups of beach balls, each with a different color.

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of doubloons the pirate found is x. Since each doubloon weighs 9 grams, the total weight of all the doubloons is 9x grams. We know the total weight is 90 grams, so we can set up the equation:

9x = 90

To solve for x, we can divide both sides by 9:

x = 90 ÷ 9
x = 10

So, the pirate found 10 doubloons.
### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of erasers in each box, we can divide the total number of erasers (18) by the number of boxes (6).

18 ÷ 6 = 3

So, each box would contain 3 erasers.

### Answer: 3

Expected answer: 3

Correct? Yes

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

Llama 3 8B:

Reasoning: The beader has 36 beads and each bracelet uses 12 beads. To find out how many bracelets the beader can make, we can divide the total number of beads (36) by the number of beads used per bracelet (12).

36 ÷ 12 = 3

So, the beader can make 3 bracelets.

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of bicycles (63) by the number of bicycles each gear can sell (7). This will give us the number of gears.
63 ÷ 7 = 9
### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: The contractor has 80 windows to fit into houses. Each house requires 8 windows. To find the number of houses the contractor can outfit, we can divide the total number of windows (80) by the number of windows required per house (8).

80 ÷ 8 = 10

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

### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of days it took to sell 84 compasses is x.
The compass maker sells 12 compasses each day, so the total number of compasses sold is 12x.
We know that the total number of compasses sold is 84, so we can set up the equation 12x = 84.
To solve for x, we can divide both sides of the equation by 12, which gives us x = 84/12.
x = 7, so it took the compass maker 7 days to sell 84 compasses.
### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since there are 3 computers per row, and there are 7 rows, we can multiply the number of rows by the number of computers per row to find the total number of computers: 7 x 3 = <<7 x 3=21>>21.
### Answer: 21

Expected answer: 21

Correct? Yes

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?

Llama 3 8B:

Reasoning: The painter has 4 cups of yellow paint, and he uses 1 cup per large wall. To find out how many large walls he can paint, we can divide the total amount of paint (4 cups) by the amount used per wall (1 cup).

4 cups ÷ 1 cup/wall = 4 walls

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say each tree produces x lemons. Since there are 6 trees, the total number of lemons produced is 6x. We know that the total number of lemons produced is 60, so we can set up the equation:

6x = 60

To find the value of x, we can divide both sides of the equation by 6:

x = 60/6
x = 10

So, each tree produces 10 lemons on average.

### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each book corresponds to 1 complete story, the number of stories is equal to the number of books. In this case, there are 9 books, so there are also 9 stories in the series.
### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: The factory has 6 yards of fabric, and each shirt requires 3 yards of fabric. To find out how many shirts the factory can make, we can divide the total amount of fabric (6 yards) by the amount of fabric required per shirt (3 yards).

6 yards ÷ 3 yards/shirt = 2 shirts

### Answer: 2

Expected answer: 2

Correct? Yes

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

Llama 3 8B:

Reasoning: Since each train car consists of 8 compartments, the total number of compartments in the train is equal to the number of cars multiplied by 8. We know the total number of compartments is 24, so we can set up the equation:

8c = 24

where c is the number of cars. To solve for c, we can divide both sides of the equation by 8:

c = 24/8
c = 3

So, the train has 3 cars.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of racks being used, we need to divide the total number of pants (32) by the number of pants each rack can hold (8).

32 ÷ 8 = 4

So, 4 racks are being used to hold all the pants.

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each square pane has 9 square inches of glass, the total number of square panes can be found by dividing the total square inches of glass used (36) by the square inches of glass per pane (9).

36 ÷ 9 = 4

So, there are 4 square panes in the window.

### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: Granny has 72 balls of yarn and uses 12 balls for each blanket.
To find the number of blankets she can knit, we can divide the total number of balls of yarn by the number of balls used per blanket:
72 ÷ 12 = 6
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Let's work backwards to find the number of milk packets produced on the second day.

On the third day, the farm produced 33 milk packets.

On the second day, the farm produced 1/3 of the amount it produced on the third day, since it produces 3 times the amount on the previous day.

So, the number of milk packets produced on the second day is 33/3 = 11.

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the helicopter has been used x times. Since each use requires 10 hours of maintenance, the total maintenance hours would be 10x. We know that the total maintenance hours are 70, so we can set up the equation:

10x = 70

To solve for x, we can divide both sides by 10:

x = 70/10

x = 7

So, the helicopter has been used 7 times.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each habitat has 2 elephants, we can divide the total number of elephants (6) by 2 to find the number of habitats.

6 ÷ 2 = 3

So, there are 3 habitats in the zoo.

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: The dolphin jumps 5 times in a single minute, so it jumps 5p times in p minutes.
We know that the dolphin jumps 60 times in p minutes, so we can set up the equation 5p = 60.
To solve for p, we can divide both sides by 5, which gives us p = 60/5.
p = 12.
### Answer: 12

Expected answer: 12

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of trees (63) by the number of trees in each group (7). This will give us the number of groups.

63 ÷ 7 = 9

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

### Answer: 9

Expected answer: 9

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each style has exactly 12 hats, we can divide the total number of hats (96) by 12 to find the number of styles.

96 ÷ 12 = 8

So, the hat shop has 8 styles of hats.

### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since it rained every couple of days, that means it rained every 2 days. To find the number of periods of rain, we can divide the total number of days it rained (24) by the number of days it rained in each period (2).

24 ÷ 2 = 12

However, this is not the correct answer because each period of rain lasted for 8 days, not 2 days. So, we need to divide the total number of days it rained (24) by the number of days it rained in each period (8).

24 ÷ 8 = 3

### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's divide the total number of bottles manufactured (48) by the number of bottles manufactured in a single cycle (6).
48 ÷ 6 = 8
### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of verses in each song, we need to divide the total number of verses (110) by the number of songs (10).

110 ÷ 10 = 11

So, there will be 11 verses in each song.

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of photographers is x. Since each photographer gets 2 cameras, the total number of cameras used by the photographers is 2x. Since there are 16 cameras in total, we can set up the equation:

2x = 16

To solve for x, we can divide both sides by 2:

x = 16/2
x = 8

So, there are 8 photographers in the studio.
### Answer: 8

Expected answer: 8

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of areas needed, we need to divide the total number of penguins (99) by the number of penguins each area can hold (9).

99 ÷ 9 = 11

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

### Answer: 11

Expected answer: 11

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each piece takes 3 hours to practice thoroughly, the student can practice 9/3 = 3 pieces thoroughly.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Llama 3 8B:

Let's say the amount of fabric used is x.

Since 3 pillows can be stitched from this fabric, the amount of fabric used is equal to 3 times the number of pillows.

We know that dividing the fabric by 6 gives us the number of pillows, so we can set up the equation:

x/6 = 3

To solve for x, we can multiply both sides by 6:

x = 3 × 6

x = 18

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

### Answer: 18

Expected answer: 18

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each pack contains 9 pens, and there are 9 packs, we can multiply the number of packs by the number of pens in each pack to find the total number of pens.
9 packs x 9 pens/pack = 9 x 9 = 81 pens
### Answer: 81

Expected answer: 81

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of servings, we need to divide the total amount of meat (4 pounds) by the serving size (1/8 pound).
4 pounds = 4 x 16 ounces (since 1 pound = 16 ounces) = 64 ounces
1/8 pound = 1/8 x 16 ounces = 2 ounces
Now, divide the total ounces by the serving size:
64 ounces ÷ 2 ounces = 32 servings
### Answer: 32

Expected answer: 32

Correct? Yes

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?

Llama 3 8B:

Reasoning: Since each balloon requires 1 meter of string, we can divide the total length of the string (5 meters) by the length required for each balloon (1 meter) to find the number of balloons that can be tied.

5 meters (total string) ÷ 1 meter (per balloon) = 5

So, 5 balloons can be tied with this string.

### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the plane originally had x sections. After the crash, each section accounts for 8 parts, so the total number of parts is 8x. We know that the total number of parts is 48, so we can set up the equation 8x = 48. To solve for x, we can divide both sides by 8, which gives us x = 48/8. Simplifying, we get x = 6.
### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: The farmer has 40 strawberries and divides them equally among his friends. If each friend is given 4 strawberries, we can set up the equation:

40 = 4x

Where x is the number of friends. To solve for x, we can divide both sides by 4:

x = 40/4

x = 10

So, the farmer has 10 friends.
### Answer: 10

Expected answer: 10

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the number of cups of hot chocolate sold is x. Since each cup costs 10 dollars, the total amount of money earned is 10x. We know that the total amount of money earned is 70 dollars, so we can set up the equation 10x = 70.
To solve for x, we can divide both sides of the equation by 10, which gives us x = 70/10.
x = 7
### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the cost of each ring is x. Since the jeweler sold 5 rings for a total of 35 dollars, we can set up the equation:

5x = 35

To find the cost of each ring, we can divide both sides of the equation by 5:

x = 35 ÷ 5
x = 7

So, each ring costs 7 dollars.

### Answer: 7

Expected answer: 7

Correct? Yes

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?

Llama 3 8B:

Reasoning: To find the number of regions, we need to divide the total number of lions (60) by the number of lions each region will have (10).

60 ÷ 10 = 6

So, there would be 6 regions.

### Answer: 6

Expected answer: 6

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say the original price of the jacket was "d" dollars. After the discount, the price of the jacket is 1/5th of its original price, which is d/5 dollars. We know that the discounted price is 6 dollars, so we can set up the equation:

d/5 = 6

To solve for d, we can multiply both sides of the equation by 5:

d = 6 × 5
d = 30

So, the original price of the jacket was 30 dollars.

### Answer: 30

Expected answer: 30

Correct? Yes

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?

Llama 3 8B:

Reasoning: Let's say there are x giraffes in the zoo. Each giraffe eats 7 pounds of food, so the total amount of food consumed is 7x pounds. We know that the total amount of food consumed is 28 pounds, so we can set up the equation:

7x = 28

To solve for x, we can divide both sides by 7:

x = 28/7

x = 4

So, there are 4 giraffes in the zoo.
### Answer: 4

Expected answer: 4

Correct? Yes

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?

Llama 3 8B:

Reasoning: If each zone contains 6 starfish, and there are 30 starfish in total, we can divide 30 by 6 to find the number of zones:

30 ÷ 6 = 5

So, there are 5 zones in total.

### Answer: 5

Expected answer: 5

Correct? Yes

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?

Llama 3 8B:

Reasoning: The astronaut has 88 hours of oxygen in his tank. He can use this tank for 8 days. To find out how many hours of oxygen the tank provides each day, we need to divide the total hours of oxygen by the number of days.

88 hours ÷ 8 days = 11 hours

### Answer: 11

Expected answer: 11

Correct? Yes