Problem: Carla has a garden and wants to calculate the amount of cucumbers she will be able to grow. She noticed that the number of cucumbers she could grow per plant was determined by multiplying 22/3 by 22/19. After a few months, she realized that she could grow her production by multiplying the initial amount by 23/17. How many cucumbers is she expecting to grow per plant after adjusting her production method?

CodeLlama 7B:

  Let's start by calculating the initial amount of cucumbers Carla could grow per plant:

22/3 x 22/19 = 11/3

This means that Carla could grow 11/3 cucumbers per plant.

After a few months, Carla realized that she could grow her production by multiplying the initial amount by 23/17. This means that she could grow:

11/3 x 23/17 = 15/3

cucumbers per plant.

Therefore, Carla is expecting to grow 15/3 cucumbers per plant after adjusting her production method.

Expected answer: 11132/969

Correct? No

Problem: Pierre has 19/4 kg of grapes. One afternoon, he ate 7/25 kg of them. In the evening, his mother gave him 30/9 kg more grapes. How many kilograms of grapes does Pierre have now?

CodeLlama 7B:

  First, let's convert the fractions to decimals:

19/4 kg = 19/4 = 4.75 kg
7/25 kg = 7/25 = 0.28 kg
30/9 kg = 30/9 = 3.33 kg

Now, let's add the amounts of grapes Pierre had before and after his mother gave him more grapes:

4.75 kg + 0.28 kg = 4.93 kg
4.93 kg + 3.33 kg = 8.26 kg

Therefore, Pierre has 8.26 kg of grapes now.

Expected answer: 2341/300

Correct? No

Problem: King Arthur is calculating the costs for restoring his castle. The wall repairs cost 26/22 of his castle's annual budget. Meanwhile, the moat renovations cost an additional 4/29 of the budget. Finally, installing new defensive catapults takes up an 11/3 portion of the budget. How much (expressed as a fraction of the castle's annual budget) has King Arthur spent on these projects in total?

CodeLlama 7B:

  To find the total amount spent on these projects, we need to add the fractions together:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Simplifying the fractions:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Combining like terms:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Simplifying the fractions:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Comparing the denominators:

22 = 29

Multiplying both sides by 29/22:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Simplifying the fractions:

26/22 + 4/29 + 11/3 = 26/22 + 4/29 + 11/3

Comparing the numerators:

26 + 4 + 11 = 41

So, the total amount spent on these projects is 41/22 of the castle's annual budget.

### Answer: 41/22

Expected answer: 4772/957

Correct? No

Problem: A giraffe at the local zoo has a peculiar eating habit. When it is fed 25/19 lbs of acacia leaves, it eats 30/26 times more than what it usually does in a day. If the zoo calculates the weekly feeding amount by multiplying the daily intake by itself (making the result "weekly feeding amount squared") and then multiplying that with the regular daily intake, how many pounds of acacia leaves should they prepare for the giraffe for a week? Calculate ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) and provide your answer.

CodeLlama 7B:

  To calculate the weekly feeding amount for the giraffe, we need to follow the instructions provided in the problem.

First, we need to calculate the daily intake of acacia leaves for the giraffe. We are given that the giraffe eats 30/26 times more than what it usually does in a day when it is fed 25/19 lbs of acacia leaves. So, the daily intake of acacia leaves for the giraffe is:

(30/26) \* (25/19) = 30/21

Now, we need to calculate the weekly feeding amount for the giraffe. The problem states that the zoo calculates the weekly feeding amount by multiplying the daily intake by itself (making the result "weekly feeding amount squared") and then multiplying that with the regular daily intake.

So, the weekly feeding amount for the giraffe can be calculated as:

((30/21)^2 \* (30/21)) \* (25/19) = 105/19^2 \* (25/19)

Simplifying the expression, we get:

105/19^2 \* (25/19) = 105/19^2 \* 25/19 = 2775/19^2

Therefore, the zoo should prepare 2775/19^2 = 2775/361 = 75.125 pounds of acacia leaves for the giraffe for a week.

### Answer: 75.125 pounds of acacia leaves.

Expected answer: 52734375/15069223

Correct? No

Problem: Lara wants to make a necklace. The necklace requires (11/3) feet of yarn. She also wants to add smaller beads which will extend the length of the necklace by (8/30) feet. How many feet of materials will Lara need to make the necklace?

CodeLlama 7B:

  Reasoning: Lara needs (11/3) + (8/30) = <<11/3+8/30=11/3+2=13/3>>13/3 feet of yarn to make the necklace.
### Answer: 13/3

Expected answer: 59/15

Correct? No

Problem: Two planes depart from an airport at the exact same time. Plane A is flying at a speed of 24/11 miles per minute and Plane B is flying at a speed of 26/27 miles per minute. How much farther (in miles) did Plane A travel than Plane B after exactly one minute, assuming they keep flying at a stable speed? Calculate the difference and write your answer as a simplified fraction.

CodeLlama 7B:

  To find the difference in distance traveled by Plane A and Plane B after one minute, we need to find the distance traveled by each plane in one minute.

Plane A travels at a speed of 24/11 miles per minute, so it travels 11 miles in one minute.
Plane B travels at a speed of 26/27 miles per minute, so it travels 27 miles in one minute.

Therefore, the difference in distance traveled by Plane A and Plane B after one minute is:

27 miles - 11 miles = 16 miles

16 miles is a simplified fraction, so the answer is:

### Answer: 16/1

Note: The answer is a simplified fraction because the numerator and denominator are relatively prime (i.e., they have no common factors).

Expected answer: 362/297

Correct? No

Problem: In the wild, an adult bear eats about 14/7 pounds of fish per day. A young bear eats about 25/13 pounds of fish per day. Calculate the combined amount that both bears eat per day by multiplying 14/7 by 25/13.

CodeLlama 7B:

  To calculate the combined amount that both bears eat per day, we need to multiply 14/7 by 25/13.

14/7 = 2
25/13 = 1.92

So, the combined amount that both bears eat per day is:

2 x 1.92 = 3.84 pounds of fish per day.

Expected answer: 50/13

Correct? No

Problem: Toby plays guitar. His first song takes 12/8 hours to play and his second song takes 12/3 hours to play. How long does it take Toby to play both of his songs? Write your answer as a simplified fraction.

CodeLlama 7B:

  Toby plays both songs in 12/8 + 12/3 = 12/11 hours.

### Answer: 12/11

Expected answer: 11/2

Correct? No

Problem: Suppose you have 28 out of 29 chocolate bars. Then, you found 8 out of 22 more chocolate bars. What fraction represents the total chocolate bars you have now?

CodeLlama 7B:

  To find the total number of chocolate bars you have now, you need to add the number of chocolate bars you already had (28) to the number of chocolate bars you found (8).

28 + 8 = 36

So, you now have a total of 36 chocolate bars.

To express this as a fraction, you can divide the total number of chocolate bars by the number of chocolate bars you had at first:

36 ÷ 29 = 1.21

So, the total number of chocolate bars you have now is 1.21, which is approximately 121/100 of the original number of chocolate bars.

Expected answer: 424/319

Correct? No

Problem: A compass maker is creating some specialty compasses. The compass needle is made from a special material. It takes 27/26 of a pound to create one needle. If the maker is trying to produce two identical needles, how much material will he require? After producing the two needles, the maker realizes he needs to produce an additional piece for the compass that requires 27/6 pounds of the material. How much total material will the compass maker need to produce the two needles and the additional piece?

CodeLlama 7B:

  To produce two identical needles, the compass maker will need to use 27/26 of a pound of material for each needle. Therefore, the total material required for the two needles will be 27/26 of a pound x 2 = 27/13 pounds.

After producing the two needles, the maker realizes he needs to produce an additional piece for the compass that requires 27/6 pounds of the material. Therefore, the total material required for the two needles and the additional piece will be 27/13 pounds + 27/6 pounds = 27/13 + 27/6 = 27/13 + 13/6 = 27/13 + 2 = 29/13 pounds.

Expected answer: 171/26

Correct? No

Problem: Liam bought a candle that burns at a rate of 6/4 inches per hour. After some time, he bought another candle that burns at a slower rate of 14/16 inches per hour. What is the total rate at which the two candles burn together?

CodeLlama 7B:

  The total rate at which the two candles burn together is the sum of their individual rates:

6/4 inches/hour + 14/16 inches/hour = 6/4 + 14/16 = 20/16 inches/hour

So, the two candles burn together at a rate of 20/16 inches per hour.

Expected answer: 19/8

Correct? No

Problem: Sophia has 17/20 of a dollar. Her friend gives her another 1/4 of a dollar. After some time, her brother gives her 1 dollar. How much money does Sophia have now in dollars?

CodeLlama 7B:

  Reasoning:

1. Sophia has 17/20 of a dollar, which is equal to 17/20 = 0.85 dollars.
2. Her friend gives her another 1/4 of a dollar, which is equal to 1/4 = 0.25 dollars.
3. After some time, her brother gives her 1 dollar.

Therefore, Sophia has a total of:

0.85 + 0.25 + 1 = 2.10 dollars.

### Answer: 2 dollars and 10 cents.

Expected answer: 21/10

Correct? Yes

Problem: Imagine you're a music producer who is working on a new song. Your resources are divided into different sections. - First, you dedicate 16/4 hours to composing the music and another 16/29 hours to writing the lyrics. This is your initial time investment for the song (let's call it p). - Then, you spend 28/13 hours for mixing and mastering the song in addition to the initial time investment (let's call this new total time b). - Suddenly, a drummer you hired for a session uses 18/4 hours less because he finished his parts quickly. What is the final time you spent on producing the song, if your total time is expressed as (b - (18 / 4))?

CodeLlama 7B:

  Let's first calculate the total time you spent on producing the song:

b = p + (16/4) + (16/29) + (28/13)
b = p + 4 + 4.5 + 13
b = p + 19

Now, let's subtract the time the drummer saved you:

b - (18/4) = p + 19 - (18/4)
b - (18/4) = p + 19 - 4.5
b - (18/4) = p + 14.5

So, the final time you spent on producing the song is p + 14.5 hours.

Expected answer: 1663/754

Correct? No

Problem: Monica has 21/15 dozens of cookies at her bakery shop. Later in the day, she bakes additional 29/17 dozens of cookies to add into her stock. At the end of the day, she decides to increase her total stock of cookies by a ratio of 7/5 for an upcoming cookie festival. How many dozens of cookies will Monica have for the cookie festival?

CodeLlama 7B:

  Reasoning:

1. Monica has 21/15 dozens of cookies at her bakery shop.
2. She bakes additional 29/17 dozens of cookies to add into her stock.
3. She decides to increase her total stock of cookies by a ratio of 7/5 for an upcoming cookie festival.

To find the total number of dozens of cookies Monica will have for the cookie festival, we need to calculate the total number of cookies she has after adding the additional 29/17 dozens of cookies.

Total number of cookies = 21/15 dozens + 29/17 dozens
Total number of cookies = 21/15 + 29/17
Total number of cookies = 40/15 + 29/17
Total number of cookies = 59/15
Total number of cookies = 43

Therefore, Monica will have 43 dozens of cookies for the cookie festival.

Expected answer: 1848/425

Correct? No

Problem: In a bakery, a certain cake recipe requires 26/24 kg of sugar per cake. If a chef starts with 28 kg of sugar, how many kilograms of sugar will they have left after making one cake and then adding 10/6 kg of sugar to their supply?

CodeLlama 7B:

  To find out how many kilograms of sugar the chef will have left after making one cake, we need to first calculate how much sugar is used in one cake.

We know that 26/24 kg of sugar is required per cake, so we can multiply this by the number of cakes being made:

26/24 kg/cake x 1 cake = 26/24 kg

Since the chef starts with 28 kg of sugar, they will have 28-26/24 = 2/24 kg of sugar left after making one cake.

To find out how much sugar the chef will have left after adding 10/6 kg of sugar to their supply, we can add the amount of sugar added to the amount of sugar left:

2/24 kg + 10/6 kg = 2/24 kg + 10/6 kg = 12/24 kg

Therefore, the chef will have 12/24 kg of sugar left after making one cake and then adding 10/6 kg of sugar to their supply.

Expected answer: 343/12

Correct? No

Problem: On a plane trip, Emily watched a total of 16 / 4 hours of movies. During this time, she spent 6 / 3 hours watching a comedy film. How many hours did she spend watching movies other than the comedy film?

CodeLlama 7B:

  Reasoning: Emily spent 6/3 = <<6/3=2>>2 hours watching a comedy film.
She spent 16/4 = <<16/4=4>>4 hours watching movies other than the comedy film.
### Answer: 4

Expected answer: 2

Correct? No

Problem: Princess Lily was dining at a finely set table and in front of her, two dishes were placed, one with slices of apple pie and the other with slices of blueberry pie. She can eat pie slices endlessly! She ate 10 out of the 12 slices of the apple pie and 10 out of the 29 slices of the blueberry pie. How much of the pies (combined) did she eat? Represent your answer as a fraction.

CodeLlama 7B:

  Let's first find the total number of slices of pie that Princess Lily ate:

10 + 10 = 20

Now, let's find the total number of slices of pie that were served:

12 + 29 = 41

Since Princess Lily ate 20 slices of pie out of the 41 slices that were served, we can represent her pie consumption as a fraction:

20/41

This fraction represents the proportion of the total number of slices of pie that Princess Lily ate.

Expected answer: 205/174

Correct? No

Problem: Marta has a box of colored pencils. She uses 20 of the colored pencils every 11 days on her art projects. However, she only uses about 23 out of every 26 colored pencils for shading techniques. How many colored pencils does Marta use for shading in her art projects over an 11-day period? Evaluate by performing the operation (20 / 11) * (23 / 26) and write your answer as a simplified fraction.

CodeLlama 7B:

  To find out how many colored pencils Marta uses for shading in her art projects over an 11-day period, we need to first find out how many colored pencils she uses in total over an 11-day period.

We know that Marta uses 20 colored pencils every 11 days on her art projects, so we can multiply the number of days by the number of colored pencils used per day to get the total number of colored pencils used:

20 colored pencils/11 days = 1.76 colored pencils/day

We can then multiply the number of days by the number of colored pencils used per day to get the total number of colored pencils used:

11 days \* 1.76 colored pencils/day = 11.94 colored pencils

Next, we need to find out how many colored pencils Marta uses for shading techniques. We know that she uses about 23 out of every 26 colored pencils for shading techniques, so we can multiply the number of colored pencils used for shading by the number of colored pencils used for shading to get the total number of colored pencils used for shading:

23/26 colored pencils for shading \* 23/26 colored pencils for shading = 5.55 colored pencils for shading

Finally, we can subtract the number of colored pencils used for shading from the total number of colored pencils used to find out how many colored pencils Marta uses for other art projects:

11.94 colored pencils - 5.55 colored pencils for shading = 6.39 colored pencils for other art projects

To simplify the fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and the denominator:

6.39 colored pencils for other art projects = 6.39/1 colored pencils for other art projects

Therefore, Marta uses 6.39/1 colored pencils for other art projects over an 11-day period.

Expected answer: 230/143

Correct? No

Problem: A police investigator is analyzing two evidence specimens. The first specimen has a unique property that decreases its value by 26 out of every 6 units. The second specimen decreases its value by 25 out of every 17 units. The investigator needs to find the ratio of these changes, referred to as indicator i. Additionally, he needs to figure out a set of changes in another pair of evidence specimens. The first one of this pair increases its value by 18 out of every 8 units and the second one increases its value by 17 out of every 23 units. The investigator has to find the difference between these two rates and refer to it as indicator h. He then combines these two indicators (h and i) by multiplying them to get a final evidence factor, referred to as indicator f. This will help determine the likelihood of a particular suspect’s involvement. Calculate the value of f.

CodeLlama 7B:

  To find the ratio of the changes in the first pair of evidence specimens, we need to find the common denominator of the two fractions. The first fraction is 26/6, and the second fraction is 25/17. To find the common denominator, we can add the numerators and denominators of the two fractions:

26 + 25 = 51
6 + 17 = 23

The common denominator is 51. To find the ratio of the changes, we can divide the first fraction by the second fraction:

26/6 / 25/17 = 26/25

The ratio of the changes is 26/25, or 1/1.

To find the difference between the two rates, we can subtract the second rate from the first rate:

18/8 - 17/23 = 18/8 - 17/23 = 1/23

The difference between the two rates is 1/23.

To find the final evidence factor, we need to multiply the ratio of the changes by the difference between the two rates:

(1/1) \* (1/23) = 1/23

The final evidence factor is 1/23.

Expected answer: 30719/6900

Correct? No

Problem: In a wildlife park, there are lions and giraffes. During one particular year, the gestation period of a lioness is represented as 20/22 of a year, while a giraffe's gestation period is 15 years. Find the total gestation period of both animals together. Later in the same year, a lioness is pregnant again but this time her gestation period reduces by 15/20 of a year compared to the earlier total gestation period of both animals. How long will it take for the lioness to give birth this second time?

CodeLlama 7B:

  The total gestation period of both animals together is 20/22 + 15 = 35 years.

The lioness will give birth to her second litter in 35 - 15/20 = 20 years.

Expected answer: 667/44

Correct? No

Problem: A rectangle's length is 30/7 meters and its width is 19/6 meters. The area of the rectangle is found by multiplying the length and the width. If a similar rectangle has an area which is 18/17 times bigger than the original rectangle, what is the area of the similar rectangle?

CodeLlama 7B:

  The area of the original rectangle is given by:

Area = length x width = (30/7) x (19/6) = 30 x 19 = 570 square meters

Since the similar rectangle has an area that is 18/17 times bigger than the original rectangle, we can write:

Area of similar rectangle = (18/17) x Area of original rectangle = (18/17) x 570 = 570 x 18/17 = 910 square meters

Therefore, the area of the similar rectangle is 910 square meters.

Expected answer: 1710/119

Correct? No

Problem: A soap factory produces 23/8 tonnes of soap each day. One day, they decided to increase production by an extra 4/20 of a tonne. However, later that same day, they reduce the production by 19/24 of a tonne due to a sudden power cut. How many tonnes of soap does the factory produce that day after these adjustments?

CodeLlama 7B:

  Reasoning:

1. The factory produces 23/8 tonnes of soap each day.
2. The factory increases production by an extra 4/20 of a tonne, so the new production is 23/8 + 4/20 = 23/8 + 4/20 = 23/8 + 2/5 = 27/8 tonnes.
3. The factory reduces production by 19/24 of a tonne due to a sudden power cut, so the new production is 27/8 - 19/24 = 27/8 - 7/8 = 20/8 tonnes.

Therefore, the factory produces 20/8 tonnes of soap that day after these adjustments.

Expected answer: 137/60

Correct? No

Problem: You have a paint mixing machine that creates specific shades of color. The machine starts by mixing 24/8 gallons of red paint. It then pours away 12/8 gallons of the mix. Let 'd' represent the amount of red paint left in the machine. Finally, the machine adds another 1/28 gallon of blue pigment to lighten the color, subtract that from 'd' to find 'x' in gallons, which is the total amount of paint. Find the value of 'x'.

CodeLlama 7B:

  Let's start by using the information given in the problem to set up an equation.

We know that the machine starts by mixing 24/8 gallons of red paint, so we can write:

d = 24/8

Next, we know that the machine pours away 12/8 gallons of the mix. We can subtract this amount from the amount of red paint left in the machine:

d - 12/8 = ?

Now, we are told that the machine adds another 1/28 gallon of blue pigment to lighten the color. We can add this amount to the amount of red paint left in the machine:

d + 1/28 = ?

Finally, we are asked to find the value of 'x', which is the total amount of paint. We can use the equation we set up earlier to find 'x':

x = d + 1/28

Now, we can substitute the values we have found for 'd' and 'x' in the equation:

x = (24/8) + 1/28

Simplifying the equation, we get:

x = 31/28

So, the total amount of paint is 31/28 gallons.

Expected answer: 41/28

Correct? No

Problem: A banana bread recipe requires you to multiply the fractions (27 / 14) and (17 / 13) together to determine how many ounces of mashed bananas you'll need. Compute the product of these fractions and write your answer as a simplified fraction to find out how many ounces are required.

CodeLlama 7B:

  To multiply the fractions (27/14) and (17/13), we need to follow the standard procedure for multiplying fractions.

First, we need to convert the fractions to decimals:

(27/14) = 27/14 = 1.88

(17/13) = 17/13 = 1.31

Now, we can multiply the decimals:

1.88 x 1.31 = 2.53

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3.

2.53 / 3 = 8.87

Therefore, the simplified fraction is 8 1/3.

So, the product of the fractions (27/14) and (17/13) is 8 1/3.

Expected answer: 459/182

Correct? No

Problem: Sonia uses 21/12 oz of toothpaste to brush her teeth every day. Her brother Anthony uses less toothpaste, just 6/27 oz daily. Add both quantities of toothpaste to get the total daily amount used by Sonia and Anthony. Now, suppose their mom includes an amount of toothpaste for herself to the total - she uses 3/18 oz of toothpaste daily. Add this amount to the total used by Sonia and Anthony to get the final total daily toothpaste usage for the whole family. Solve each fraction separately and give the answer as a simplified fraction.

CodeLlama 7B:

  To find the total daily amount of toothpaste used by Sonia and Anthony, we need to add their individual usage:

Sonia: 21/12 oz + 6/27 oz = 27/12 oz = 3/4 oz
Anthony: 6/27 oz = 1/4 oz

So, the total daily amount of toothpaste used by Sonia and Anthony is:
3/4 oz + 1/4 oz = 4/4 oz = 1 oz

Now, let's find the total daily amount of toothpaste used by the whole family by adding the amount used by Sonia and Anthony and their mom:

Sonia and Anthony: 1 oz
Mom: 3/18 oz

So, the total daily amount of toothpaste used by the whole family is:
1 oz + 3/18 oz = 1 oz + 3/18 oz = 1 oz + 3/18 oz = 4/18 oz = 2/9 oz

Therefore, the simplified fraction for the total daily amount of toothpaste used by the whole family is:
2/9 oz

Expected answer: 77/36

Correct? No

Problem: Let's suppose for a special recipe sandwich, you need to divide a wheel of cheese into 14 equal parts and a pickle jar into 18 equal parts. To make one special sandwich, you need 21 parts of the wheel of cheese and 7 parts from the pickle jar. You've just made these sandwiches and you are down to ((7 / 18) + (21 / 14)) of your original ingredients. Later, you decided to make a simpler version of the sandwich which required half of the wheel of cheese and did not use any pickles. What fraction of the original ingredients do you have left after making the simpler sandwich? Calculate the answer by subtracting (2 / 4) from the fraction you had after making the first sandwich.

CodeLlama 7B:

  To make the simpler sandwich, you used half of the wheel of cheese, which is (14/2) = 7 parts.

After making the first sandwich, you had ((7 / 18) + (21 / 14)) = (7/18) + (21/14) = 0.41 + 0.85 = 0.86 of the original ingredients left.

Now, if you subtract (2 / 4) from 0.86, you get 0.86 - (2/4) = 0.86 - 0.5 = 0.36.

So, you have 0.36 of the original ingredients left after making the simpler sandwich.

Expected answer: 25/18

Correct? No

Problem: A window washer needs to clean two windows in a large building. The first window is 15/6 meters tall while the other one is 7/16 meters tall. How tall are the windows in total?

CodeLlama 7B:

  The total height of the two windows is:

15/6 + 7/16 = 15/6 + 7/16 = 22/16 = 1.33 meters

So the windows are 1.33 meters tall in total.

Expected answer: 47/16

Correct? No

Problem: Jan is mixing some fruit juices for a party. She mixes 16/6 liters of apple juice with 20/12 liters of orange juice. To add some tartness, she also adds 2/3 liters of cranberry juice. How many liters of juice does she have in total?

CodeLlama 7B:

  Let's start by adding the amount of apple juice and orange juice:

16/6 + 20/12 = 26/12

Now, let's add the amount of cranberry juice:

26/12 + 2/3 = 28/12

So, Jan has a total of 28/12 liters of juice.

Expected answer: 5

Correct? No

Problem: In a puzzle game, each level gives you 4/3 points. If you have played 13/10 of these levels, how many points have you earned? Standardize your response as a simplified fraction.

CodeLlama 7B:

  You have earned 13/10 of 4/3 points.
### Answer: 13/10 of 4/3 = 5/3.

Expected answer: 26/15

Correct? No

Problem: An astronaut on a mission has a routine where he spends 18/8 hours a day cycling on the spaceship's exercise bike and 26/2 hours a day conducting scientific experiments. The total amount of time spent on these activities in a day makes up what he calls his "work". One day he decides to add another activity to his routine around 30/8 hours of reviewing data from the mission so far. He adds this time to his previous "work" routine. How many hours does the astronaut spend on his whole daily routine now?

CodeLlama 7B:

  The astronaut spends 18/8 hours a day cycling and 26/2 hours a day conducting scientific experiments, which makes up his "work" routine. He adds 30/8 hours of reviewing data to his "work" routine, so his new daily routine is:

18/8 + 26/2 + 30/8 = 48/8

Therefore, the astronaut spends 48/8 hours on his daily routine.

Expected answer: 19

Correct? No

Problem: Jeremy went to a sandwich shop that slices cheese by weight measured in ounces. He ordered slices of cheese that weighed 30/9 ounces in total. However, upon weighing, he found that there was 17/22 ounces less cheese than he requested. Calculate how much cheese he actually received. Use the equation 'd = n - (17 / 22)' to find the answer.

CodeLlama 7B:

  Let's start by using the equation you provided:

d = n - (17 / 22)

where d is the amount of cheese Jeremy received, n is the amount of cheese he ordered, and 17/22 is the amount of cheese that was less than the amount he ordered.

We know that Jeremy ordered 30/9 ounces of cheese, so we can substitute this value into the equation:

d = 30/9 - (17 / 22)

Simplifying the equation, we get:

d = 30/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

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d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 13/9 - 17/22

d = 

Expected answer: 169/66

Correct? No

Problem: Sophia is a researcher who studies sunglasses. She was examining a batch of sunglasses and trying to calculate the average light blocking efficiency. In the first test, she found that 13 out of every 4 sunglasses blocked all UV rays completely, while in the second test, 20 out of every 18 sunglasses also blocked all UV rays. Sophia decided to add these numbers to her total. Next, she added the additional 21 out of 17 sunglasses from another batch that also blocked all UV rays. Later, she realized she made a mistake and needed to subtract the 16 out of 30 sunglasses that actually did not block all UV rays. What is the final corrected number of sunglasses that blocked all UV rays, according to Sophia's tests and calculations? Please give your answer as a simplified fraction.

CodeLlama 7B:

  To find the final corrected number of sunglasses that blocked all UV rays, we need to add the number of sunglasses that blocked all UV rays in each test and then subtract the number of sunglasses that did not block all UV rays.

In the first test, 13 out of every 4 sunglasses blocked all UV rays, so we can write this as 13/4 = 3.

In the second test, 20 out of every 18 sunglasses blocked all UV rays, so we can write this as 20/18 = 1.

We also know that 21 out of every 17 sunglasses blocked all UV rays, so we can write this as 21/17 = 1.

Finally, we need to subtract the number of sunglasses that did not block all UV rays. In the first test, 16 out of every 30 sunglasses did not block all UV rays, so we can write this as 16/30 = 1/2.

Therefore, the final corrected number of sunglasses that blocked all UV rays is:

3 + 1 + 1 - 1/2 = 5/2

Simplifying this fraction, we get:

5/2 = 2 1/2

So, the final corrected number of sunglasses that blocked all UV rays is 2 1/2.

Expected answer: 15493/3060

Correct? No

Problem: Shawn is making sandwiches for a picnic. The recipe for the sandwiches requires different amounts of mayonnaise and sandwich spread. To make a sandwich, Shawn uses 23/28 cups of mayonnaise and 6/9 cups of sandwich spread. How many cups of these two ingredients does Shawn use in total to make a sandwich? While preparing the sandwiches, Shawn realizes that he has to add 18/12 cups of cheese spread to his recipe. Calculate the total amount of ingredients Shawn now needs to make one sandwich which includes mayonnaise, sandwich spread, and cheese spread. Finally, if Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, how many cups of ingredients will he use in total to make those sandwiches?

CodeLlama 7B:

  To make one sandwich, Shawn needs to use 23/28 cups of mayonnaise and 6/9 cups of sandwich spread, which is a total of 23/28 + 6/9 = 39/28 cups of ingredients.

If Shawn adds 18/12 cups of cheese spread to his recipe, he will need to use 39/28 + 18/12 = 57/28 cups of ingredients to make one sandwich.

If Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, he will need to use 57/28 x 4/4 = 217/28 cups of ingredients.

Expected answer: 251/84

Correct? No

Problem: Cassandra collected keys for a hobby. At first she had a collection equivalent to 7/6 of a key set. After she lost 1/21 of a key set, how many key sets does she have now?

CodeLlama 7B:

  Reasoning:

1. Cassandra had a collection equivalent to 7/6 of a key set.
2. She lost 1/21 of a key set.
3. Therefore, she now has a collection equivalent to 7/6 - 1/21 = 5/12 of a key set.

Answer: 5/12 of a key set.

Expected answer: 47/42

Correct? No

Problem: A songwriter is composing a new piece. In the first section, he uses a ratio of 29 notes every 23 measures. In the second section, he uses a ratio of 19 notes every 17 measures. Calculate the difference between the sum of the ratios of the two sections ((29 / 23) + (19 / 17)) and the ratio of a rest, which is equivalent to one whole measure (26/26), used in the third section of his composition.

CodeLlama 7B:

  The ratio of the first section is 29 notes every 23 measures, which is equivalent to a ratio of 29/23.
The ratio of the second section is 19 notes every 17 measures, which is equivalent to a ratio of 19/17.
The ratio of a rest, which is equivalent to one whole measure (26/26), used in the third section of the composition is 26/26.

The sum of the ratios of the two sections is (29/23) + (19/17) = 29/23 + 19/17 = 48/23.

The difference between the sum of the ratios of the two sections and the ratio of a rest is:
(48/23) - (26/26) = 22/23.

Expected answer: 539/391

Correct? No

Problem: You're trying to solve a puzzle that requires you to multiply two fractions together. The fractions are 22/25 and 22/8. Calculate the product to get the answer you need to advance in the puzzle.

CodeLlama 7B:

  To multiply the fractions 22/25 and 22/8, we need to follow the correct order of operations.

1. Multiply the numerators: 22 × 22 = 484
2. Multiply the denominators: 25 × 8 = 176
3. Divide the product of the numerators by the product of the denominators: 484 ÷ 176 = 2.62

Therefore, the product of the fractions 22/25 and 22/8 is 2.62.

Expected answer: 121/50

Correct? No

Problem: James is making a decorative pillow and would like to add a matching border. He needs to calculate the length of border material he will need. The pillow is 23/9 feet long. He had an additional 22/25 feet of length due to the fluffing of the pillow. The total length is then multiplied by 16/13 to account for overlap and corners. Calculate the length of border material James will need for his pillow.

CodeLlama 7B:

  To calculate the length of border material James will need, we need to follow these steps:

1. Calculate the total length of the pillow: 23/9 feet + 22/25 feet = 23/9 feet + 22/25 feet = 45/25 feet = 1.75 feet
2. Multiply the total length by 16/13 to account for overlap and corners: 1.75 feet x 16/13 = 2.56 feet

Therefore, James will need 2.56 feet of border material for his decorative pillow.

Expected answer: 12368/2925

Correct? No

Problem: A car travels 21/4 miles every hour. One day, the car was needed to travel an extra 16/13 miles, but due to a detour, it only traveled an additional 1/21 miles. How many more miles was the car supposed to travel in total that day, given that it ran continuously at the same speed? Calculate by multiplying the additional distance needed by the average miles the car travels in an hour.

CodeLlama 7B:

  Let's first calculate the total distance the car traveled in one hour:

21/4 miles/hour = 5 miles/hour

So, the car traveled 5 miles in one hour.

Now, let's calculate the total distance the car traveled in a day:

5 miles/hour x 24 hours = 120 miles

The car traveled 120 miles in a day.

Now, let's calculate the additional distance the car needed to travel:

16/13 miles = 1.25 miles

So, the car needed to travel an additional 1.25 miles.

The car only traveled an additional 1/21 miles due to the detour, so we need to subtract that from the total additional distance:

1.25 miles - 1/21 miles = 1.25 - 0.047 = 1.21 miles

Therefore, the car was supposed to travel an additional 1.21 miles in total that day, given that it ran continuously at the same speed.

To calculate the total distance the car traveled in total, we need to add the distance it traveled in a day to the additional distance it needed to travel:

120 miles + 1.21 miles = 120 + 1.21 = 121.21 miles

Therefore, the car was supposed to travel a total of 121.21 miles that day, given that it ran continuously at the same speed.

Expected answer: 323/52

Correct? No

Problem: In a book publishing company, the manager has to look after various departments. The editing team takes 20/5 hours to edit a manuscript of a book, while the typesetting team needs 18/17 hours to adjust the layout of a page. Some break delay happens that results in a collective loss of 6/15 hours. After these delays and losses, the manager, to compensate, extended the working hours by the same amount of time as the initial time span of the process. On a particular day, they continue to work. What's the total extended time in hours, if you multiply the time required for the entire process and the extended time after the reduction of the lost hours with the initial total time required?

CodeLlama 7B:

  The total extended time in hours is:

(20/5 + 18/17) x (15/6) = (3.2 + 2.67) x (6/15) = 3.2 x 6/15 + 2.67 x 6/15 = 19.2 hours

Therefore, the total extended time in hours is 19.2 hours.

Expected answer: 34056/1445

Correct? No

Problem: Jenny plants 13/11 rows of potatoes in her garden. Each row yields approximately 21/3 bushels. If Jenny sells her yield at the farmer's market where each bushel earns her 21/15 dollars, how many dollars will she make in total by selling all her potatoes?

CodeLlama 7B:

  Reasoning:

1. Each row yields approximately 21/3 bushels.
2. Jenny sells her yield at the farmer's market where each bushel earns her 21/15 dollars.

To find the total number of dollars Jenny will make, we need to calculate the total number of bushels she sells.

Total number of bushels = Number of rows x Yield per row
Total number of bushels = 13/11 rows x 21/3 bushels/row
Total number of bushels = 13/11 x 21/3 = 21/11 bushels

Now, we can calculate the total number of dollars Jenny will make by multiplying the total number of bushels by the price she earns per bushel.

Total number of dollars = Total number of bushels x Price per bushel
Total number of dollars = 21/11 bushels x 21/15 dollars/bushel
Total number of dollars = 21/11 x 21/15 = 21/15 dollars

Therefore, Jenny will make 21/15 dollars in total by selling all her potatoes.

Expected answer: 637/55

Correct? No

Problem: A jeweler uses 14/28 of a kilogram of gold to craft a certain type of rings. Additionally, he uses 13/26 of a kilogram of silver to design another type of rings. What is the sum of the amount of gold and silver used by the jeweler in kilograms?

CodeLlama 7B:

  The jeweler uses 14/28 of a kilogram of gold to craft the first type of rings, which is equal to 14/28 of a kilogram.
The jeweler uses 13/26 of a kilogram of silver to design the second type of rings, which is equal to 13/26 of a kilogram.

The sum of the amount of gold and silver used by the jeweler in kilograms is:

14/28 + 13/26 = 14/28 + 13/26 = 27/28 kilograms.

Therefore, the sum of the amount of gold and silver used by the jeweler in kilograms is 27/28 kilograms.

Expected answer: 1

Correct? No

Problem: In a beehive, there are sections for honey storage and bee rearing. Each section is classified into many sub-sections. One day, the beekeeper discovered that each honey storage sub-section had (25 / 9) gallons of honey. He also found the same amount of honey in each bee rearing sub-section. If he combined the honey from both a honey storage sub-section and a bee rearing sub-section, the beekeeper would have a total quantity represented by 'p'. However, one honey storage sub-section had an additional (2 / 26) gallons of honey. So, if the beekeeper was calculating the total amount from this sub-section plus a bee rearing sub-section, the total amount of honey would be defined as 's'. What quantity of honey ('s') would the beekeeper have in total from this scenario?

CodeLlama 7B:

  Let's denote the total amount of honey in the honey storage sub-section with an additional (2/26) gallons as 's'.

From the problem statement, we know that the total amount of honey in the honey storage sub-section without the additional (2/26) gallons is (25/9) gallons.

So, the total amount of honey in the honey storage sub-section with the additional (2/26) gallons is (25/9) + (2/26) = (25 + 2)/9 = 27/9 gallons.

Now, let's calculate the total amount of honey in the bee rearing sub-section:

The total amount of honey in the bee rearing sub-section is (25/9) gallons, as stated in the problem statement.

So, the total amount of honey in both the honey storage sub-section and the bee rearing sub-section is (25/9) + (27/9) = 25 + 27 = 52/9 gallons.

Now, let's calculate the total amount of honey the beekeeper would have in total:

The total amount of honey the beekeeper would have in total is the sum of the honey in the honey storage sub-section with the additional (2/26) gallons and the honey in the bee rearing sub-section:

s + p = (27/9) + (52/9) = 27 + 52 = 79/9 gallons

Therefore, the total amount of honey the beekeeper would have in total is 79/9 gallons.

Expected answer: 659/117

Correct? No

Problem: In prehistoric times, a herbivorous dinosaur eats 16/8 bunches of leaves per hour during the day. But at night, it only eats 6/17 bunches of leaves every hour because of reduced visibility. Calculate the total bunches of leaves the dinosaur eats in an hour if it is eating day and night.

CodeLlama 7B:

  To calculate the total bunches of leaves the dinosaur eats in an hour, we need to find the average number of bunches of leaves eaten per hour during both day and night.

During the day, the dinosaur eats 16/8 bunches of leaves per hour, so the average number of bunches eaten per hour is 16/8 = 2 bunches per hour.

During the night, the dinosaur eats 6/17 bunches of leaves per hour, so the average number of bunches eaten per hour is 6/17 = 0.35 bunches per hour.

To find the total number of bunches of leaves eaten in an hour, we need to add the average number of bunches eaten per hour during both day and night:

2 bunches/hour + 0.35 bunches/hour = 2.35 bunches/hour

Therefore, the total number of bunches of leaves the dinosaur eats in an hour is 2.35 bunches.

Expected answer: 40/17

Correct? No

Problem: A bear ate 28/6 pounds of fish one day and 21/18 pounds the next day. On the third day, the bear ate 24/22 pounds of fish. How many total pounds of fish did the bear eat in these three days, written as a fraction?

CodeLlama 7B:

  To find the total number of pounds of fish the bear ate, we need to add the number of pounds eaten on each day:

28/6 + 21/18 + 24/22 = 28/6 + 21/18 + 24/22 = 28/6 + 21/18 + 12/11 = 49/6 + 21/18 = 69/6 = 13/2

So, the bear ate 13/2 pounds of fish in total.

Expected answer: 457/66

Correct? No

Problem: Heather was preparing a special three-course dinner for her family. For the first course, she had a bread recipe that required 11/17 of a cup of sugar. In addition, she baked a custard for dessert that required another 6/2 cups of sugar. As her family loves sweet dishes, she decided to increase the total quantity of sugar by a factor of 29/21. How many cups of sugar did Heather use in total?

CodeLlama 7B:

  Reasoning: Heather used 11/17 of a cup of sugar for the first course, which is equal to 11/17 of 1 cup = 11/17 cups.
She used 6/2 cups of sugar for the custard, which is equal to 6/2 cups.
Heather increased the total quantity of sugar by a factor of 29/21, so she used 29/21 times the amount of sugar needed for the first course, which is equal to 29/21 times 11/17 = 303/21 cups of sugar.
She used 303/21 cups of sugar in total.
### Answer: 303/21 cups of sugar.

Expected answer: 1798/357

Correct? No

Problem: Ms. Parker, a math teacher, was grading papers and noticed that a student did the calculation ((7 / 8) + (21 / 18)), but she didn't write down the final answer. What is the result of this calculation as a simplified fraction?

CodeLlama 7B:

  The calculation is ((7 / 8) + (21 / 18)), which can be simplified as follows:

((7 / 8) + (21 / 18)) = (7 + 21) / (8 + 18)
= 28 / 36
= 1 / 2

Therefore, the final answer is 1/2.

Expected answer: 49/24

Correct? No

Problem: King Arthur is planning a grand feast at his castle. He estimates that each guest will consume 15/7 gallons of water and 15/24 gallons of wine. On the other hand, the royal baker needs 26/20 gallons of milk for each of the cakes he's baking. Calculate the total amount of liquid (v) that will be consumed if the baker's requirement is multiplied by the guests' consumption (i), and then add this to the guests' consumption (v) to find the total amount of liquid (x) needed for the feast.

CodeLlama 7B:

  Let's start by calculating the total amount of liquid (v) that will be consumed by the guests:

v = (15/7) \* 48 + (15/24) \* 48 = 15 \* 48 + 15 \* 48 = 672 + 384 = 1056 gallons

Now, let's calculate the total amount of liquid (v) that will be consumed by the baker:

v = (26/20) \* 20 = 130 gallons

Now, let's add the total amount of liquid (v) that will be consumed by the baker to the total amount of liquid (v) that will be consumed by the guests:

x = v + v = 1056 + 130 = 1186 gallons

Therefore, the total amount of liquid (x) needed for the feast is 1186 gallons.

Expected answer: 713/112

Correct? No

Problem: Teddy is a bear who loves to play with numbers. One day, Teddy was playing with his favorite number, which just so happened to be 30/17. While playing, he saw another number, 18/15, and decided to add it to his favorite number. With this new number in mind, he then saw another, 24/13, and decided to multiply it by his new number. What is Teddy's final number?

CodeLlama 7B:

  Teddy's final number is:

(30/17) + (18/15) = 30/17 + 18/15 = 48/21

(48/21) x (24/13) = 48/21 x 24/13 = 1296/279

Teddy's final number is 1296/279.

Expected answer: 6048/1105

Correct? No

Problem: Johnny is building a scooter from scratch. He needs to drill holes into the scooter deck to attach the wheels. The size of each hole should be approximately (20/6) cm in diameter. Unfortunately, his drill bit only has a diameter of (11/21) cm. If he uses his current drill bit, he needs to drill a hole, move it over and drill again to achieve the diameter he needs. If he drills each hole exactly once with his drill bit, calculate what fraction of the desired diameter would each hole have? Don't simplify the fraction, keep as (20/6) * (11 / 21).

CodeLlama 7B:

  To calculate the fraction of the desired diameter that each hole would have, we need to divide the diameter of the drill bit by the diameter of the hole.

First, let's calculate the diameter of the hole:

(20/6) cm = 3.33 cm

Now, let's divide the diameter of the drill bit by the diameter of the hole:

(11/21) cm / 3.33 cm = 0.52

So, each hole would have a fraction of 0.52 of the desired diameter.

Expected answer: 110/63

Correct? No

Problem: Aaron has a small model car collection. His favorite car model takes exactly 17/10 hours to assemble. He started assembling a new car model and realized that it was simpler, taking only 12/23 hours to complete. How much less time, in hours, will the second model take than the first one? Write your answer as a simplified fraction or decimal.

CodeLlama 7B:

  To find the difference in time, we need to subtract the time it takes to assemble the second model from the time it takes to assemble the first model.

Time to assemble first model = 17/10 hours = 1.7 hours
Time to assemble second model = 12/23 hours = 0.52 hours

Subtracting the times gives us:
0.52 hours - 1.7 hours = -1.2 hours

Therefore, the second model will take 1.2 hours less than the first model to assemble.

Answer: 1.2 hours

Expected answer: 271/230

Correct? No

Problem: Carlos is very handy, and he decided to start a business making and selling chairs. He usually makes each chair using 20/15 units of wood. For a special order, he decided to design a larger, sturdier chair that uses (24/5) times (7/6) units more wood than usual. In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

CodeLlama 7B:

  To find the number of units of wood needed to make one of these special chairs, we need to first find the number of units of wood used by Carlos to make a regular chair.

Carlos uses 20/15 units of wood to make each regular chair.

So, the number of units of wood used by Carlos to make one regular chair is 20/15 = 1.33 units.

Now, for the special order, Carlos needs to use (24/5) times (7/6) units more wood than usual.

(24/5) = 4.8 times
(7/6) = 1.1 times

So, Carlos needs to use 4.8 x 1.1 = 5.28 units of wood to make one special chair.

Since we need to find the number of units of wood needed to make one special chair, we can simplify the answer by dividing the number of units of wood needed by the number of units of wood used by Carlos to make one regular chair.

5.28 / 1.33 = 3.85

Therefore, Carlos needs to use 3.85 units of wood to make one special chair.

Expected answer: 104/15

Correct? No

Problem: Officer Davis was monitoring traffic for speeders. He was measuring the speed of cars passing by him using a radar gun. The gun showed one car was going 13/4 miles per minute. Suddenly, the car slows down and reduces his speed by 14/15 miles per minute. Officer Davis noted down the new speed of the car. Suddenly, the car increased its speed again by 30/15 miles per minute. What was the final speed of the car according to Officer Davis's radar gun?

CodeLlama 7B:

  Let's start by using the information that the car was going 13/4 miles per minute when Officer Davis first measured its speed. This means that the car was going 13/4 = 3.25 miles per minute.

Next, we know that the car slowed down by 14/15 miles per minute, which means that its speed decreased by 14/15 = 0.96 miles per minute. So, the car's speed after the slowdown was 3.25 - 0.96 = 2.29 miles per minute.

Finally, we know that the car increased its speed again by 30/15 miles per minute, which means that its speed increased by 30/15 = 2 miles per minute. So, the car's speed after the second speed increase was 2.29 + 2 = 4.29 miles per minute.

Therefore, the final speed of the car according to Officer Davis's radar gun was 4.29 miles per minute.

Expected answer: 259/60

Correct? No

Problem: Jake is trying to figure out how many grapes he can get from a certain vineyard. - The vineyard can usually produce 19/2 baskets of grapes every season. However, due to weather conditions, only 19/29 of the usual amount were produced this season. How many baskets of grapes were produced this season? - But Jake isn't the only one interested in these grapes. He has to share the grapes with others. He gets to keep only 7/11 of the total amount of grapes. How many baskets of grapes does he get? - Out of the grapes that he got, Jake wants to make some grape juice. But he only uses 9/10 of his grapes to make the juice. How many baskets of grapes does he use for the juice?

CodeLlama 7B:

  ### Answer:

1. This season, the vineyard produced 19/29 of the usual amount of grapes, so the total number of baskets of grapes produced this season is 19/29 x 2 = 19.
2. Jake gets to keep 7/11 of the total amount of grapes, so the number of baskets of grapes he gets is 7/11 x 19 = 13.5. Since Jake can't have a fraction of a basket, he gets 13 whole baskets of grapes.
3. Jake uses 9/10 of his grapes to make grape juice, so the number of baskets of grapes he uses for the juice is 9/10 x 13 = 10.5. Since Jake can't have a fraction of a basket, he uses 11 whole baskets of grapes for the juice.

Expected answer: 22743/6380

Correct? No

Problem: Joel has a grape farm. One day, he picked 9/2 bushels of red grapes and 10/22 bushels of green grapes from his farm. Calculate the total number of bushels of grapes Joel picked that day.

CodeLlama 7B:

  To calculate the total number of bushels of grapes Joel picked that day, we need to add the number of red grapes and green grapes he picked.

Joel picked 9/2 bushels of red grapes, which is equal to 9/2 = 4.5 bushels.
Joel picked 10/22 bushels of green grapes, which is equal to 10/22 = 0.45 bushels.

Therefore, the total number of bushels of grapes Joel picked that day is 4.5 + 0.45 = 4.95 bushels.

Expected answer: 109/22

Correct? No

Problem: A snowman is constructed by stacking two different sized snowballs on top of each other. The larger snowball at the bottom has a diameter of 17/8 feet, and the smaller snowball on top has a diameter of 1/20 feet. What is the total height of the snowman in feet when these two snowballs are stacked on top of each other?

CodeLlama 7B:

  The total height of the snowman can be found by adding the heights of the two snowballs.

The height of the larger snowball is 17/8 feet = 2.125 feet.
The height of the smaller snowball is 1/20 feet = 0.05 feet.

The total height of the snowman is 2.125 feet + 0.05 feet = 2.175 feet.

Therefore, the total height of the snowman in feet when the two snowballs are stacked on top of each other is 2.175 feet.

Expected answer: 87/40

Correct? Yes

Problem: In a sandbox, a child splits up 24/7 parts of the sand in a fair way. Later on, another child takes away 2/16 part of the sand. Calculate the remaining part of sand in the sandbox.

CodeLlama 7B:

  Let's first calculate the total amount of sand in the sandbox:

24/7 = 3

So, there are 3 parts of sand in the sandbox.

Now, let's calculate the amount of sand that the second child took away:

2/16 = 1/8

So, the second child took away 1/8 of the sand.

Now, let's calculate the remaining amount of sand in the sandbox:

3 - 1/8 = 23/8

So, there are 23/8 parts of sand remaining in the sandbox.

To convert this fraction to a decimal, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD is 8, so we can divide both the numerator and the denominator by 8:

23/8 = 3

So, there are 3 parts of sand remaining in the sandbox.

Expected answer: 185/56

Correct? No

Problem: In the jungle, a lion ate 28/26 of a zebra in one day and 23/9 of a wildebeest the next day. How much less of the zebra did the lion eat compared with the wildebeest? Calculate your answer as a simplified fraction.

CodeLlama 7B:

  To find the difference in the amount of zebra eaten by the lion compared to the wildebeest, we need to find the ratio of the amount of zebra eaten by the lion to the amount of zebra eaten by the wildebeest.

The lion ate 28/26 of a zebra in one day, which means it ate 28/26 of the total amount of zebra.

The lion ate 23/9 of a wildebeest in the next day, which means it ate 23/9 of the total amount of wildebeest.

To find the ratio of the amount of zebra eaten by the lion to the amount of zebra eaten by the wildebeest, we can divide the amount of zebra eaten by the lion by the amount of zebra eaten by the wildebeest:

(28/26)/(23/9) = 11/10

This means that the lion ate 11/10 of the amount of zebra eaten by the wildebeest.

Therefore, the lion ate 11/10 less of the zebra compared to the wildebeest.

To simplify the fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and the denominator, which is 10 in this case.

(11)/(10) = 1/1 = 1

So, the lion ate 1 less of the zebra compared to the wildebeest.

Expected answer: 173/117

Correct? No

Problem: A chocolate factory makes a batch of chocolate by combining 14/4 kilograms of cocoa and 21/11 liters of milk for every kilogram. How many kilograms of chocolate will the factory produce by combining these ingredients? Calculate your answer to the following expression, ((14 / 4) * (21 / 11)).

CodeLlama 7B:

  To find the number of kilograms of chocolate produced, we need to multiply the number of kilograms of cocoa and milk.

Let's start with the number of kilograms of cocoa:

14/4 = 3.5 kilograms

Now, let's calculate the number of kilograms of milk:

21/11 = 1.9 kilograms

Now, we can multiply the number of kilograms of cocoa and milk to find the total number of kilograms of chocolate produced:

3.5 x 1.9 = 6.35 kilograms

Therefore, the chocolate factory will produce 6.35 kilograms of chocolate by combining these ingredients.

Expected answer: 147/22

Correct? No

Problem: In the tropical rainforest, there are two different species of banana trees. One species produces 12 bananas every 29 days, while another species produces 30 bananas every 10 days. If a day is chosen at random, what is the expected number of bananas that the two species together will have produced on that day? Use the formula ((12 / 29) + (30 / 10)) to calculate the answer.

CodeLlama 7B:

  The formula ((12 / 29) + (30 / 10)) can be used to calculate the expected number of bananas produced by both species on a given day.

To calculate the expected number of bananas produced by the first species, we need to find the probability that the first species produces 12 bananas in 29 days. This can be done by dividing the number of days that the first species produces 12 bananas by the total number of days in the year:

(12 / 29) = 0.42

Similarly, we can calculate the probability that the second species produces 30 bananas in 10 days:

(30 / 10) = 3

Now, we can add the probabilities to get the expected number of bananas produced by both species on a given day:

((0.42) + (3)) = 3.42

Therefore, the expected number of bananas produced by both species on a given day is 3.42.

Expected answer: 99/29

Correct? No

Problem: A giraffe needs to eat a total of 11/11 ton of acacia leaves plus 26/14 ton of grasses a day. Calculate the total ton of food the giraffe needs to eat in a day.

CodeLlama 7B:

  To calculate the total ton of food the giraffe needs to eat in a day, we need to add the amount of acacia leaves and grasses the giraffe needs to eat.

11/11 ton of acacia leaves = 11 tons
26/14 ton of grasses = 17.5 tons

Total ton of food needed = 11 tons + 17.5 tons = 38.5 tons

Therefore, the giraffe needs to eat 38.5 tons of food in a day.

Expected answer: 20/7

Correct? No

Problem: A bear spends 18 hours of the day sleeping. Given that each day has 24 hours, this bear spends 18/24th of each day asleep. For 27 days of the month, the bear's activity is tracked. Assume that the bear has a regular sleeping pattern. Calculate the fraction of time the bear has spent sleeping over the 27 days assuming each month has 13 weeks. Your answer should be the result of (18 / 24) * (27 / 13). Write your answer as a decimal.

CodeLlama 7B:

  The bear spends 18/24th of each day asleep, which is equivalent to 0.75.

To calculate the fraction of time the bear has spent sleeping over the 27 days, we can multiply the fraction of time the bear spends sleeping by the number of days:

(18/24) * (27/13) = 0.75 * 2.0 = 1.50

Therefore, the bear has spent 1.50 days sleeping over the 27 days.

Expected answer: 81/52

Correct? No

Problem: In a beautiful forest, the park rangers recorded that 9 out of every 14 trees were pine trees. They also noticed an exceptional occurrence where 19 out of every 2 trees were birches. If you count all the pine trees and birch trees together, what fraction of the trees in the forest are either pine or birch? Use the formula f = ((9 / 14) + (19 / 2)) to solve this.

CodeLlama 7B:

  To find the fraction of trees in the forest that are either pine or birch, we need to add the fractions of pine trees and birch trees.

The fraction of pine trees is 9/14, and the fraction of birch trees is 19/2.

To add these fractions, we can use the formula f = ((9 / 14) + (19 / 2)).

Solving for f, we get:

f = (9/14) + (19/2)
f = 3/7

So, the fraction of trees in the forest that are either pine or birch is 3/7.

Expected answer: 71/7

Correct? No

Problem: On planet Zog, aliens use an interesting system to track their energy levels. At the beginning of the day, Zogorian calculates his energy level to be (14 / 2) / (23 / 17) zogs. Later in the day, after harnessing energy from their primary star, his energy level increases by (16 / 24) zogs. Calculate the Zogorian's energy level after the increase.

CodeLlama 7B:

  To calculate the Zogorian's energy level after the increase, we need to first calculate the increase in energy.

The increase in energy is given as (16 / 24) zogs.

To calculate the Zogorian's energy level after the increase, we need to add the increase in energy to the initial energy level.

The initial energy level is calculated as (14 / 2) / (23 / 17) zogs.

Therefore, the Zogorian's energy level after the increase is:

(14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 / 2) / (23 / 17) zogs + (16 / 24) zogs = (14 /

Expected answer: 403/69

Correct? No

Problem: Teddy, the bear, loves to play hide and seek with his friends. One day, he decided to play a game where he hides some number of his stuffed animal friends. Teddy hides 18/11 of his friends in the forest and 8/21 of his friends at the beach. First calculate how many more friends Teddy hides in the forest than at the beach. Let's call this number 'f'. Then square 'f' to find 'n', the total number of hiding spots Teddy needs. How many hiding spots does Teddy need?

CodeLlama 7B:

  Let's start by finding the difference in the number of friends Teddy hides in the forest and at the beach.

Teddy hides 18/11 of his friends in the forest, so he hides 18/11 = 1.62 friends in the forest.

Teddy hides 8/21 of his friends at the beach, so he hides 8/21 = 0.38 friends at the beach.

The difference in the number of friends Teddy hides in the forest and at the beach is 1.62 - 0.38 = 1.24.

Now, let's square the difference to find 'n', the total number of hiding spots Teddy needs.

n = (1.24)^2 = 1.536

So, Teddy needs 1.536 hiding spots in total.

Expected answer: 84100/53361

Correct? No

Problem: A robot is performing a maintenance task. It starts with 25/10 units of energy. However, it quickly uses 27/23 units of energy to complete a series of complex computations. Calculate how much energy it has left.

CodeLlama 7B:

  The robot used 27/23 units of energy to complete the computations, so it has used 27/23 - 25/10 = <<27/23-25/10=2/10>>2/10 units of energy.

Therefore, the robot has 25/10 - 2/10 = <<25/10-2/10=23/10>>23/10 units of energy left.

Expected answer: 61/46

Correct? No

Problem: During rainy weather, a small snail moves at a snail-pace covering 17/21 of a meter in an hour. Another slightly faster snail covers 20/24 of a meter in the same time during such weather. One rainy day, the first snail started an hour earlier than the second. At the time when the second snail began, a third snail that covers 18/17 of a meter per hour also started moving. What is their total distance in meters 1 hour after all three have started moving? Compute the result using the operation ((17 / 21) + (20 / 24)) for the first two snails' distance, and multiply this result by (18 / 17) for the total distance , including the third snail.

CodeLlama 7B:

  Let's first calculate the distance covered by the first two snails in one hour:

1. The first snail covers 17/21 of a meter in an hour, so it covers 17/21 \* 60 minutes = 10.5 meters in one hour.
2. The second snail covers 20/24 of a meter in an hour, so it covers 20/24 \* 60 minutes = 12 meters in one hour.

The total distance covered by the first two snails in one hour is 10.5 + 12 = 22.5 meters.

Now, let's calculate the distance covered by the third snail in one hour:

18/17 of a meter per hour is equivalent to 1 meter per 17 minutes, so the third snail covers 1 meter in 17 minutes.

Therefore, the third snail covers 17 minutes \* 1 meter = 17 meters in one hour.

The total distance covered by all three snails in one hour is the sum of the distances covered by the first two snails and the third snail:

22.5 meters (first two snails) + 17 meters (third snail) = 39.5 meters

Therefore, the total distance in meters is 39.5 meters.

Expected answer: 207/119

Correct? No

Problem: Johnny had 24/14 of a yard of fabric that he used to make stuffed animals. After creating a few, he found he only had 9/29 of a yard left. He then got a new type of fabric and used 15/2 times the difference of the original and remaining fabric to make more stuffed animals. How many yards of the new fabric did Johnny use?

CodeLlama 7B:

  Reasoning:

1. Johnny had 24/14 of a yard of fabric to make stuffed animals.
2. He used 15/2 times the difference of the original and remaining fabric to make more stuffed animals.
3. The difference of the original and remaining fabric is 9/29 of a yard.
4. Therefore, the new fabric used is 15/2 times 9/29 of a yard, which is 15/2 times 9/29 = 15/2 times 29/29 = 15/2 times 1 = 7.5 yards.

### Answer: 7.5 yards

Expected answer: 4275/406

Correct? No

Problem: In a park, there are some kids lining up for the swings. Part of the waiting line consists of 2/10 of the total number of kids in the park, while another part is made up of 21/4 kids. What is the total number of kids waiting for the swing? Add together 2/10 and 21/4 to find your answer.

CodeLlama 7B:

  Let's denote the total number of kids in the park as x.

We know that 2/10 of the total number of kids in the park are waiting for the swings. So, we can write:

2/10x = 21/4

Simplifying the left-hand side, we get:

x = 21/4

Now, we can substitute this value of x into the first equation:

2/10x = 21/4

Simplifying the left-hand side, we get:

2/10 = 21/4

Now, we can divide both sides by 2/10 to solve for x:

1 = 21/4

Now, we can divide both sides by 21 to solve for x:

1 = 4/21

Now, we can multiply both sides by 21 to solve for x:

21 = 4

Now, we can divide both sides by 4 to solve for x:

21/4 = 5

So, the total number of kids waiting for the swings is 5.

Expected answer: 109/20

Correct? No

Problem: An alien spacecraft has 18 fuel tanks out of a total of 30 fuel tanks filled. Each fuel tank can power the spacecraft for 22/6 hours. How many hours of power does the spacecraft currently have? Calculate (18 / 30) * (22 / 6) to find out.

CodeLlama 7B:

  The spacecraft currently has 18/30 = <<18/30=0.6333333333333334>>0.6333333333333334 hours of power.

To calculate the number of hours of power, we can multiply the number of fuel tanks filled by the number of hours each tank can power the spacecraft for:

(18 / 30) * (22 / 6) = 0.6333333333333334 * 3.5 = 23.85

Therefore, the spacecraft currently has 23.85 hours of power.

Expected answer: 11/5

Correct? No

Problem: A cat is fed twice a day. In the morning, it eats 16/12 of a can of cat food. in the evening, it eats 6/10 of a can. How much of a can in total does the cat eat in one day?

CodeLlama 7B:

  In the morning, the cat eats 16/12 of a can, so it eats 16/12 of the total amount of food in the can.

In the evening, the cat eats 6/10 of the remaining food in the can, so it eats 6/10 of the total amount of food in the can.

Therefore, the total amount of food the cat eats in one day is 16/12 + 6/10 = 22/12 of the total amount of food in the can.

Since there are 12 units in a can, the cat eats 22/12 of a can in one day.

Therefore, the cat eats 22/12 of a can in one day.

Expected answer: 29/15

Correct? No

Problem: A starfish laid 12 eggs in 3 nests and 11 eggs in 4 other nests. How much is the difference between the average number of eggs per nest for these two groups of nests?

CodeLlama 7B:

  To find the difference between the average number of eggs per nest for these two groups of nests, we need to first find the average number of eggs per nest for each group.

For the first group of nests, the average number of eggs per nest is:

(12 + 11) / 2 = 11.5

For the second group of nests, the average number of eggs per nest is:

(3 + 4) / 2 = 3.5

The difference between the average number of eggs per nest for these two groups of nests is:

11.5 - 3.5 = 8

So, the difference between the average number of eggs per nest for these two groups of nests is 8.

Expected answer: 5/4

Correct? No

Problem: A monkey finds a pile of bananas and ends up eating (22 / 7) times (10 / 25) of the pile. Later, he gives (3 / 28) of the pile to his friend. How much of the pile does the monkey have left?

CodeLlama 7B:

  Let's start by using the information that the monkey ate (22/7) times (10/25) of the pile.

First, we can simplify the fraction (22/7) by multiplying both the numerator and denominator by the greatest common divisor (GCD) of 22 and 7, which is 1.

So, (22/7) = (22/7) \* (1/GCD(22,7)) = (22/7) \* (1/1) = 3.

Now, we can multiply the fraction (3/1) by (10/25) to get the total number of bananas the monkey ate:

(3/1) \* (10/25) = 30/25 = 1.2

Now, we can round up to the nearest whole number to get the total number of bananas the monkey ate:

1.2 = 2

So, the monkey ate 2 bananas.

Next, we need to find out how much of the pile the monkey has left. We know that the monkey gave (3/28) of the pile to his friend, so we can find the total number of bananas the monkey has left by subtracting the number of bananas he gave to his friend from the total number of bananas he ate:

2 - (3/28) = 2 - (3/28) \* 28 = 2 - 8 = -6

So, the monkey has -6 bananas left.

Expected answer: 23/20

Correct? No

Problem: A mouse runs at a speed of 24/20 feet per second. If the mouse runs for 23/2 seconds, how many feet does the mouse run?

CodeLlama 7B:

  To find the distance the mouse runs, we need to multiply the speed by the time.

Speed = Distance / Time

In this case, the mouse runs at a speed of 24/20 feet per second, and it runs for 23/2 seconds.

Distance = Speed x Time
= (24/20) x (23/2)
= 12 x 11.5
= 143/2

Therefore, the mouse runs 143/2 feet.

Expected answer: 69/5

Correct? No

Problem: At a party, the drinks are served in glasses that contain 29/9 ounces of beverage each. If 26/25 of them were consumed, how many ounces of beverage were consumed? Now imagine that the party goers then drink an additional 2/19 ounces of beverages. How many total ounces of beverages were consumed at the party in total?

CodeLlama 7B:

  To find out how many ounces of beverage were consumed, we need to first find the number of glasses that were consumed. We can do this by multiplying the number of glasses consumed by the number of ounces in each glass.

26/25 of the glasses were consumed, so we can multiply 26 by 25 to find the total number of glasses consumed:

26 \* 25 = 675

Now, we can multiply the number of glasses consumed by the number of ounces in each glass to find the total number of ounces consumed:

675 \* 29/9 = 106.25

So, 106.25 ounces of beverage were consumed.

Now, let's find out how many total ounces of beverages were consumed at the party. We can do this by adding the number of ounces consumed to the number of ounces that were consumed in the additional 2/19 ounces of beverages:

106.25 + 2/19 = 106.25 + 0.105 = 106.35

So, 106.35 ounces of beverages were consumed at the party.

Expected answer: 14776/4275

Correct? No

Problem: You decide to start a toothbrush collection and you add 7/15 of a new set of toothbrushes to your current collection. Suddenly, a friend gifts you 9 more sets. After grouping everything, you realized you can only fit 26/27 of them in your display case. How many sets of toothbrushes can you fit in your display case?

CodeLlama 7B:

  Reasoning:

1. You start with 7/15 of a new set of toothbrushes, which is 7/15 = <<7/15=0.48>>0.48 sets.
2. You receive 9 more sets, which is 9 = <<9=9>>9 sets.
3. You can only fit 26/27 of the sets in your display case, which is 26/27 = <<26/27=0.96>>0.96 sets.

Therefore, you can fit 0.48 + 0.96 = <<0.48+0.96=1.44>>1.44 sets of toothbrushes in your display case.

Expected answer: 3692/405

Correct? No

Problem: Joan has a backpack which weighs 27/20 kilograms when it's empty. She adds a book which weighs 1/6 kilograms. Calculate the total weight of the backpack in kilograms now. Please write the answer as a simplified fraction.

CodeLlama 7B:

  The total weight of the backpack in kilograms now is:

27/20 + 1/6 = 31/12

Simplifying the fraction:

31/12 = 2 3/4

Therefore, the total weight of the backpack in kilograms now is 2 3/4 kilograms.

Expected answer: 91/60

Correct? No

Problem: A soda company is changing its bottle design. The new design will change the volume of the bottles so that they become (7 / 7) * (25 / 22) times larger. What will be the multiplier of the new bottle compared to the old one?

CodeLlama 7B:

  The new bottle will be (7 / 7) * (25 / 22) = 1.12 times larger than the old bottle.

Expected answer: 25/22

Correct? No

Problem: Turtle Tilly is collecting food for the winter. She has gathered 25/9 kg of sea plants, and she then finds 8/13 kg more. In a close-by rock, she spots another food stash weighing 24/27 kg. After gobbling up these finds, Tilly stumbles upon yet another food source weighing 21/26 kg. If Tilly combines all her found food, how many kilograms does she now have in total? Answer as a simplified fraction.

CodeLlama 7B:

  Tilly has gathered a total of:

25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg = 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

= 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg

=

Expected answer: 397/78

Correct? No

Problem: Captain Alf undertakes multi-step calculations to ensure the safe navigation of his boat. First, he calculates the difference in his current location and the distance of a nearby island. The distance to the island is 17/2 nautical miles, and his boat is currently 4/2 nautical miles away from the island. Next, Captain Alf adjusts for the tide, which he has estimated to push his boat off course by 14/9 nautical miles. He adds this to his previous calculations. Finally, when considering his fuel efficiency rated at 22/15 nautical miles per gallon, Captain Alf multiplies his adjusted distance by this rate to figure out his fuel requirements. What does Captain Alf’s final calculation come to? Use these steps and corresponding fractions to find your answer.

CodeLlama 7B:

  To find Captain Alf's final calculation, we need to follow the steps he outlined:

1. Calculate the difference in his current location and the distance of a nearby island:

17/2 nautical miles - 4/2 nautical miles = 13/2 nautical miles

2. Adjust for the tide, which he has estimated to push his boat off course by 14/9 nautical miles:

13/2 nautical miles + 14/9 nautical miles = 27/2 nautical miles

3. Multiply his adjusted distance by his fuel efficiency rate of 22/15 nautical miles per gallon:

27/2 nautical miles x 22/15 nautical miles per gallon = 584/15 nautical miles per gallon

Therefore, Captain Alf's final calculation comes to 584/15 nautical miles per gallon.

Expected answer: 319/27

Correct? No

Problem: A forest ranger patrolled 14/3 miles of trails in the morning. In the afternoon, he patrolled 2/18 mile less than what he walked in the morning. How many miles did the forest ranger patrol in the afternoon?

CodeLlama 7B:

  In the morning, the forest ranger patrolled 14/3 miles, which is equal to 14/3 \* 3 = 42 miles.

In the afternoon, he patrolled 2/18 miles less than what he walked in the morning, which is equal to 2/18 \* 18 = 3 miles.

Therefore, the forest ranger patrolled a total of 42 - 3 = 39 miles in the afternoon.

Expected answer: 41/9

Correct? No

Problem: Arthur practices piano for 20/21 of an hour every day. On weekends, he practices an additional 11/29 of an hour per day. How many hours in total does Arthur spend practicing the piano each day on the weekend?

CodeLlama 7B:

  To find the total number of hours that Arthur spends practicing the piano each day on the weekend, we need to add the number of hours he practices on weekends to the number of hours he practices on weekdays.

Arthur practices piano for 20/21 of an hour every day, which is 20/21 hours per day.
On weekends, he practices an additional 11/29 of an hour per day, which is 11/29 hours per day.

Therefore, the total number of hours that Arthur spends practicing the piano each day on the weekend is:

20/21 hours per day (weekdays) + 11/29 hours per day (weekends) = 20/21 + 11/29 = 31/21 hours per day

So, Arthur spends 31/21 hours per day practicing the piano on the weekends.

Expected answer: 811/609

Correct? No

Problem: Lucas has a shirt store. Initially, he had 18 shirts which he divided equally among his 3 siblings. Later, he bought 27 more shirts but wanted to sell them at a higher price, so he decided to keep only 1/19 of those shirts for each sibling. How many more or fewer shirts does each sibling now have as compared to before? Calculate the difference using the expression ((18 / 3) - (27 / 19)) and find out the result.

CodeLlama 7B:

  Before, each sibling had 18/3 = 6 shirts.
After, each sibling will have 27/19 = 14 shirts.

The difference between the number of shirts each sibling had before and after is:

((18/3) - (27/19)) = (6 - 14) = -8

Therefore, each sibling now has 8 fewer shirts.

Expected answer: 87/19

Correct? No

Problem: A painter mixed 7 gallons of white paint with 2/5 gallon of blue paint to make a light blue paint. After using 18/4 gallons of the light blue paint for a project, how many gallons does the painter have left?

CodeLlama 7B:

  Reasoning:

The painter mixed 7 gallons of white paint with 2/5 gallon of blue paint to make a light blue paint. This means that the total amount of paint the painter has is 7 + (2/5) = 7 + 0.4 = 7.4 gallons.

After using 18/4 gallons of the light blue paint for a project, the painter has 7.4 - 18/4 = 7.4 - 0.45 = 6.95 gallons of paint left.

### Answer: 6.95 gallons

Expected answer: 29/10

Correct? No

Problem: Jayson went to the roller rink and spent 24/7 hours skating on the first day. On the second day, he decided to skate for an additional 30/20 hours. How many hours in total did Jayson spend skate skating over the two days?

CodeLlama 7B:

  Jayson spent a total of 24 hours on the first day and an additional 30 hours on the second day, for a total of 24 + 30 = 54 hours.

### Answer: 54 hours

Expected answer: 69/14

Correct? No

Problem: Dolphins can leap approximately 18/3 feet out of the water. If a dolphin only manages to jump 3/4 of his usual height one day, how high did the dolphin jump?

CodeLlama 7B:

  To find the height that the dolphin jumped, we need to multiply the fraction by the original height.

18/3 feet = 6 feet

3/4 of 6 feet = 4.5 feet

So, the dolphin jumped 4.5 feet.

Expected answer: 9/2

Correct? Yes

Problem: Callie owns a pen business. Last month, she sold 20 pens for every 15 she produced. At the same time, she sold an additional 16 pens for every 22 she put out for sale. Meanwhile, she found that for every 22 pens she advertised, 27 were interested customers. For each 23 pens she produced this week, she was able to sell 8. What is the result when she multiplies the ratio of last month's sales to production (20/15 + 16/22) and this week's figure for the ratio of interested customers to production (22/27 * 23/8)? Leave your answer as an unsimplified fraction.

CodeLlama 7B:

  The ratio of last month's sales to production is 20/15 + 16/22 = 38/33.
The ratio of interested customers to production this week is 22/27 * 23/8 = 22/27 * 3/4 = 11/14.

When you multiply the ratio of last month's sales to production by the ratio of interested customers to production this week, you get:

38/33 * 11/14 = 453/421

So the result is 453/421.

Expected answer: 391/81

Correct? No

Problem: Consider a band practice session in which a musician played a song for exactly 30 minutes. After dividing this time equally between 15 songs, how much time did they spend on each song? From this average time per song, the band reduced the time spent on a particular song by 1/17 of an hour. Can you calculate the final duration of that song?

CodeLlama 7B:

  Let's first calculate the average time spent on each song:

30 minutes / 15 songs = 2 minutes per song

Now, let's reduce the time spent on a particular song by 1/17 of an hour:

2 minutes per song - 1/17 of an hour = 1 minute and 42 seconds per song

Therefore, the final duration of the song is 1 minute and 42 seconds.

Expected answer: 33/17

Correct? No

Problem: Josh rented a scooter for a day. He rode the scooter for a total of 18 hours during the first day. The next day, he rode the scooter for an additional 1/12 of an hour. Later that afternoon, his friend Jack also rented a scooter and rode it for 7/17 of an hour. How many hours did they both ride scooters in total (expressed as a fraction)? Combine the hours they both rode and simplify the fraction to get the answer.

CodeLlama 7B:

  To find the total number of hours they rode scooters, we need to add the number of hours Josh rode and the number of hours Jack rode.

Josh rode the scooter for 18 hours in the first day and 1/12 of an hour in the second day, which is equal to 18 + 1/12 = 18.5 hours.

Jack rode the scooter for 7/17 of an hour, which is equal to 7/17 hours.

Therefore, the total number of hours they both rode scooters is 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5 + 7/17 = 18.5

Expected answer: 3773/204

Correct? No

Problem: A lamp store owner is doing inventory of all the lamps in his store. He found that he has 4/26 of lamps that are floor lamps, 15/11 that are desk lamps, he also discovered he has 23/28 of table lamps and finally 8/19 of lamps that are decorative. What fraction of his total inventory do these lamps constitute?

CodeLlama 7B:

  Let's start by adding up the fractions:

4/26 + 15/11 + 23/28 + 8/19 = 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15/11 + 23/28 + 8/19

= 4/26 + 15

Expected answer: 209967/76076

Correct? No

Problem: Oliver has a kite string that is 26/19 meters long and another kite string that is 7/11 meters long. He decides to add these two strings to create an even longer kite string. Later on, he decides to use only 5/8 of this combined string. How long is the kite string that he is using now? Do not simplify your fractions within your calculation.

CodeLlama 7B:

  To find the length of the kite string that Oliver is using now, we need to add the lengths of the two original strings and then multiply by 5/8.

First, let's add the lengths of the two original strings:

26/19 + 7/11 = 33/19

Now, let's multiply by 5/8:

33/19 x 5/8 = 177/144

So, the length of the kite string that Oliver is using now is 177/144 meters.

Expected answer: 2095/1672

Correct? No

Problem: In a snow fight, Mike threw 9/19 of his snowballs and his friend, John threw 6/8 of his snowballs. After a while, Mike found 4 more snowballs to throw. The question is, if 'u' represents the number of snowballs thrown by both Mike and John and 'j' is the total number of snowballs Mike had after finding more, how many snowballs did Mike have in total? Solve the following equations to find the variable 'j': u = 9/19 + 6/8 j = u + 4/1

CodeLlama 7B:

  To solve this problem, we need to find the value of 'u' and 'j'.

First, we can simplify the equation by multiplying both sides by 19 and 8, respectively:

u \* 19 = (9/19) \* 19 + (6/8) \* 8

u \* 19 = 16 + 48

u \* 19 = 64

Now, we can solve for 'u':

u = 64/19

u = 3

Now, we can find 'j' by adding 4 to 'u':

j = u + 4/1

j = 3 + 4

j = 7

Therefore, Mike had 7 snowballs in total.

Expected answer: 397/76

Correct? No

Problem: In a chocolate factory, one worker packages 26 pieces of chocolate in 18 minutes, while another worker can package 15 pieces of chocolate every 15 minutes. Find out the total amount of chocolate they can package in one minute.

CodeLlama 7B:

  Let's first find out how many pieces of chocolate the first worker can package in one minute.

The first worker packages 26 pieces of chocolate in 18 minutes, so they can package:

26 pieces / 18 minutes = 1.44 pieces per minute

Now, let's find out how many pieces of chocolate the second worker can package in one minute.

The second worker can package 15 pieces of chocolate every 15 minutes, so they can package:

15 pieces / 15 minutes = 1 piece per minute

Now, let's find out the total amount of chocolate they can package in one minute.

1.44 pieces per minute + 1 piece per minute = 2.44 pieces per minute

Therefore, the total amount of chocolate they can package in one minute is 2.44 pieces.

Expected answer: 22/9

Correct? No

Problem: Yesterday, Joanna washed 24/20 batches of small towels and 25/15 batches of large towels. Find the total number of batches of towels she washed.

CodeLlama 7B:

  Reasoning:

Joanna washed 24/20 batches of small towels, which is equal to 24/20 = <<24/20=1.2>>1.2 batches of small towels.
Joanna washed 25/15 batches of large towels, which is equal to 25/15 = <<25/15=1.66>>1.66 batches of large towels.
In total, Joanna washed 1.2 + 1.66 = <<1.2+1.66=2.86>>2.86 batches of towels.

### Answer: 2.86

Expected answer: 43/15

Correct? No

Problem: Debra is baking cookies and she realizes she has two different recipes for the same type of cookie. She's wondering if she combines the ingredients from both, if she will end up with even more cookies or not. The first recipe requires (27 / 3) cups flour and (11 / 7) cups sugar. She determines the ratio of flour to sugar by dividing the amount of flour by the amount of sugar. She then subtracts (21 / 26) from this ratio because that's how many cups of sugar her friend says makes the cookies too sweet. After that, she adds (22 / 9) cups of flour from the second recipe to the new ratio to see how many total cups of flour she will need. How many cups of flour will she have in the end?

CodeLlama 7B:

  First, let's calculate the ratio of flour to sugar for the first recipe:

(27 / 3) cups flour / (11 / 7) cups sugar = 9/10

Now, let's subtract the ratio of flour to sugar for the second recipe:

9/10 - (21 / 26) = 9/10 - 0.77 = 0.23

Now, let's add the ratio of flour to sugar for the second recipe:

0.23 + (22 / 9) = 0.23 + 2.44 = 2.67

Therefore, Debra will have a total of 2.67 cups of flour.

Expected answer: 18955/2574

Correct? No

Problem: There are 26/13 chickens in one farm and 9/16 chickens in another farm. Farmer John calculated the difference between the number of chickens in the two farms. After a week, the number of chickens multiplied by 19/21 due to new chickens born. How many chickens are there now in Farmer John's farm?

CodeLlama 7B:

  Let's start by using the information we have:

1. There are 26/13 chickens in the first farm.
2. There are 9/16 chickens in the second farm.
3. After a week, the number of chickens multiplied by 19/21 due to new chickens born.

We can start by adding the number of chickens in the two farms:

26/13 + 9/16 = 26/13 + 9/16 = 35/13

So, there are 35/13 chickens in total.

Now, let's consider the multiplication by 19/21:

35/13 x 19/21 = 625/21

So, there are 625/21 chickens in Farmer John's farm after a week.

To simplify the fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 13 in this case.

625/21 = 28/3

So, there are 28/3 chickens in Farmer John's farm after a week.

### Answer: 28/3

Expected answer: 437/336

Correct? No

Problem: A helicopter traveled a distance of 24/14 miles for a training exercise. During a second exercise, the helicopter flew the same distance. If we let 'w' be the distance flown for each exercise and 't' be the total distance flown for both exercises represented as the product of 'w' times 'w', what is the value of 't'?

CodeLlama 7B:

  Let 'w' be the distance flown for each exercise and 't' be the total distance flown for both exercises represented as the product of 'w' times 'w'.

From the problem statement, we know that the helicopter flew a distance of 24/14 miles for the first exercise and the same distance for the second exercise.

So, the total distance flown for both exercises can be represented as:

t = w x w

We are given that 'w' is the distance flown for each exercise, so we can write:

t = w x w
= (24/14) x (24/14)
= 24 x 24
= 576

Therefore, the value of 't' is 576.

Expected answer: 144/49

Correct? No

Problem: A UFO has made two fuel stops. During the first refuel, the UFO was able to fill 20/16 of its fuel tank. At the second fuel stop, the UFO filled another 24/25 of its tank. Calculate the total fraction of the tank that the UFO was able to refill during these two stops.

CodeLlama 7B:

  To calculate the total fraction of the tank that the UFO was able to refill during these two stops, we need to add the fractions that the UFO was able to refill during each stop.

The UFO was able to fill 20/16 of its fuel tank during the first refuel, so it was able to refill 20/16 of the tank.

The UFO was able to fill another 24/25 of its tank during the second refuel, so it was able to refill 24/25 of the tank.

To add these fractions, we need to find the least common multiple (LCM) of 16 and 25, which is 60. We can then convert the fractions to decimals by multiplying by the LCM.

20/16 = 1.25 (decimal)
24/25 = 0.96 (decimal)

We can then add the decimals to get the total fraction of the tank that the UFO was able to refill during these two stops:

1.25 + 0.96 = 2.21

Therefore, the total fraction of the tank that the UFO was able to refill during these two stops is 2.21.

Expected answer: 221/100

Correct? Yes

Problem: Professor Astro is working on his telescope. He believes the power of his telescope is directly proportional to the sum of two fractions. The first fraction is the light gathering power of the lens, which is 24 out of 27. The second fraction is the zooming potential, which is 30 out of 26. So, Professor Astro calculates the sum of these two fractions ((24 / 27) + (30 / 26)). What does he find?

CodeLlama 7B:

  The sum of the two fractions is:

(24 / 27) + (30 / 26) = (24 / 27) + (30 / 26)

= (24 x 26) / (27 x 26)

= 24 x 26 / 27 x 26

= 24 / 27

So, the power of Professor Astro's telescope is directly proportional to the light gathering power of the lens, which is 24 out of 27.

Expected answer: 239/117

Correct? No

Problem: Kiki is a lively little monkey. She loves eating bananas. She ate 11/6 bananas in the morning and the same amount in the afternoon. How many bananas did she eat in total? Express your answer as an improper fraction.

CodeLlama 7B:

  Kiki ate 11/6 bananas in the morning and the same amount in the afternoon, so she ate a total of 11/6 + 11/6 = 22/6 bananas.

Therefore, Kiki ate 22/6 bananas in total.

Expected answer: 11/3

Correct? Yes

Problem: Jaden is a dairy farmer who milks his cows twice a day. In the morning, his cows give him 26/14 gallons of milk per cow, and in the evening, they give 28/20 gallons of milk per cow. If he multiplies these two fractions together, how much milk is he getting from one cow in one day?

CodeLlama 7B:

  To find the amount of milk Jaden gets from one cow in one day, we need to multiply the two fractions together.

First, we need to simplify the fractions:

26/14 = 26/14 × 20/20 = 26/14 × 1 = 26
28/20 = 28/20 × 1 = 28

Now we can multiply the two fractions together:

26 × 28 = 704

So Jaden gets 704 gallons of milk from one cow in one day.

Expected answer: 13/5

Correct? No