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?

Mixtral 8x7B:

 Reasoning: First, we need to find the initial amount of cucumbers Carla can grow per plant:
Initial amount = (22/3) x (22/19) = <<(22/3)*(22/19)=8.210526315789474>>8.21 cucumbers per plant.
Then, we need to find the adjusted amount of cucumbers Carla can grow per plant:
Adjusted amount = Initial amount x (23/17) = 8.21 x (23/17) = <<8.21*(23/17)=11.017647058823529>>11.02 cucumbers per plant (rounded to two decimal places).
### Answer: 11.02 cucumbers per plant.

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?

Mixtral 8x7B:

 Reasoning: First, let's simplify 19/4 kg to 4 3/4 kg and 30/9 kg to 10/3 kg (which simplifies to 3 1/3 kg).
Pierre has 4 3/4 - 7/25 = <<4+3/4-7/25=16/25+3/4=49/50>>49/50 kg left after eating 7/25 kg of grapes.
Then, Pierre has 49/50 + 3 1/3 = <<49/50+10/3=147/150+50/150=197/150=1+47/150=1.3133333333333335>>1.31 kg of grapes after his mother gave him more grapes.
### Answer: 1.31 kg of grapes

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?

Mixtral 8x7B:

 Reasoning: First, we need to find a common denominator for the fractions 26/22, 4/29, and 11/3. The least common multiple of 22, 29, and 3 is 5922.

Now, convert each fraction to have this common denominator:

26/22 = 26 * 271 / 22 * 271 = 7046 / 5922

4/29 = 4 * 203 / 29 * 203 = 812 / 5922

11/3 = 11 * 1973 / 3 * 1973 = 21703 / 5922

Add the fractions: 7046 / 5922 + 812 / 5922 + 21703 / 5922 = 29561 / 5922

### Answer: The total cost of the projects is 29561/5922 of the castle's annual budget.

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.

Mixtral 8x7B:

 Reasoning: First, we need to find out how much more the giraffe eats when it is fed 25/19 lbs of acacia leaves:

(25 / 19) \* (30 / 26) = (25 \* 30) / (19 \* 26) = 750 / 514 ≈ 1.459

This means that the giraffe eats 1.459 times more than its usual daily intake.

Now, we need to calculate the weekly feeding amount:

((25 / 19) \* (30 / 26))^2 \* ((25 / 19) \* (30 / 26)) = (750 / 514)^3 ≈ 1.149^3 ≈ 1.419

Finally, we need to multiply this value with the giraffe's usual daily intake:

1.419 \* (25 / 19) ≈ 1.898 lbs

### Answer: 1.898 lbs

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?

Mixtral 8x7B:

 Reasoning: Lara needs (11/3)+(8/30) = (30+8)/30 + 11/30 = 38/30 + 11/30 = 49/30 = 1.63333333333 feet of materials.
### Answer: 1.63333333333 feet (rounded to 10 decimal places)

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.

Mixtral 8x7B:

 Reasoning: Plane A travels 24/11 miles in one minute.
Plane B travels 26/27 miles in one minute.
The difference in distance traveled is therefore 24/1

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.

Mixtral 8x7B:

 Reasoning: To multiply the fractions 14/7 and 25/13, we first multiply the numerators (14 and 25) to get 14*25 = 350. Then, we multiply the denominators (7 and 13) to get 7*13 = 91. So, 14/7 * 25/13 = 350/91.
### Answer: 350/91 pounds of fish per day

Expected answer: 50/13

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: The first song takes 12/8 = 1.5 hours to play. The second song takes 12/3 = 4 hours to play.
Toby takes 1.5 + 4 = 5.5 hours to play both songs.
The fraction 5.5 can be written as 11/2 hours.
### Answer: 11/2 hours

Expected answer: 11/2

Correct? Yes

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?

Mixtral 8x7B:

 Reasoning: First, find the total number of chocolate bars you found. 28 (from the first set) + 8 (from the second set) = 36 chocolate bars.
Next, find the total number of chocolate bars there were in the second set. 22 chocolate bars.
Then, add the total number of chocolate bars from both sets. 29 (from the first set) + 22 (from the second set) = 51 chocolate bars.
Finally, create a fraction with the total number of chocolate bars you found over the total number of chocolate bars there were in both sets. 36/51.
### Answer: 36/51

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?

Mixtral 8x7B:

 Reasoning: To create two compass needles, the maker needs 2 * (27/26) = <<2*(27/26)=3>>3 pounds of material.
To create the additional piece, the maker needs 27/6 = <<27/6=4.5>>4.5 pounds of material.
To create both the needles and the additional piece, the maker needs 3 + 4.5 = <<3+4.5=7.5>>7.5 pounds of material.
### Answer: 7.5 

(Note: The answer is in 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?

Mixtral 8x7B:

 Reasoning: To find the total rate at which the two candles burn together, we need to add their individual rates.
The first candle burns at a rate of 6/4 inches per hour, which simplifies to 3/2 inches per hour.
The second candle burns at a rate of 14/16 inches per hour, which simplifies to 7/8 inches per hour.
Therefore, the total rate at which the two candles burn together is 3/2 + 7/8 = 21/8 = <<21/8=2.625>>2.625 inches per hour.
### Answer: 2.625 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?

Mixtral 8x7B:

 Reasoning: Sophia has 17/20 + 1/4 = (4*17 + 5*1)/20 = 71/20 = <<(4*17 + 5*1)/20=71/20=3.55>>3.55 dollars after her friend's gift.
Sophia has 3.55 + 1 = <<3.55+1=4.55>>4.55 dollars after her brother's gift.
### Answer: 4.55 dollars

Expected answer: 21/10

Correct? No

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))?

Mixtral 8x7B:

 Reasoning: The initial time investment for the song (p) is 16/4 hours for composing and 16/29 hours for writing lyrics, so p = 16/4 + 16/29 = 112/29 hours.
Then, 28/1

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?

Mixtral 8x7B:

 Reasoning: First, let's find out how many dozens of cookies Monica has at the moment: 21/15 + 29/17 = (21*17 + 29*15)/(15*17) = 358/255.
Then, Monica increases her stock by a ratio of 7/5, so she gets: 358/255 * 7/5 = 2506/1275.
### Answer: Monica will have 2506/1275 dozens of cookies for the cookie festival. (To simplify the answer, it can be expressed as 2*7/5*23 dozens of cookies or 204 dozens of cookies.)

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?

Mixtral 8x7B:

 Reasoning: The chef uses 26/24 kg of sugar for one cake, which is equivalent to 1 kg of sugar (since 26/24 simplifies to 1, and 1*24/24 = 1).
After making one cake, the chef has 28 - 1 = <<28-1=27>>27 kg of sugar left.
Then, the chef adds 10/6 kg of sugar to their supply, which is equivalent to 1 + 10/6 = 16/6 = 8/3 kg (since 6*10/6 = 10, and 10 + 3 = 13, and 13/6 simplifies to 8/3).
So, the chef has 27 + 8/3 = <<27+8/3=31/3=10+1/3=10.333333333333334>>10.33 kg of sugar left (rounded to two decimal places).
### Answer: 10.33 kg of sugar

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?

Mixtral 8x7B:

 Reasoning: Emily spent 6/3 x 1 = <<6/3*1=2>>2 hours watching a comedy film.
Emily spent 16/4 - 2 = <<16/4-2=2>>2 hours watching movies other than the comedy film.
### Answer: 2

Expected answer: 2

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: Princess Lily ate 10/12 of the apple pie and 10/29 of the blueberry pie.
To find out how much of the pies (combined) she ate, we need to add these two fractions together.
The common denominator for these fractions is 12*29 = <<12*29=348>>348.
So, the fraction of the apple pie Princess Lily ate is (10/12)*(348/348) = 290/348 and the fraction of the blueberry pie she ate is (10/29)*(12/12) = 120/348.
Adding these two fractions together, we get 290/348 + 120/348 = 410/348.
### Answer: 410/348 (which simplifies to 205/174)

Expected answer: 205/174

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: First, we need to find out how many 11-day periods there are in the time frame given. Since the time frame is not specified, I will assume it is also 11 days.

Next, we need to find out how many colored pencils Marta uses for shading in 11 days. To do this, we multiply the number of colored pencils used every 11 days by the fraction of colored pencils used for shading.

(20 / 11) \* (23 / 26) = (20 \* 23) / (11 \* 26) = 460 / 286 = 10/6

### Answer: 10/6 or 5/3 as a simplified fraction.

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.

Mixtral 8x7B:

 First, we need to find the value of indicators i and h.

Indicator i: The first specimen decreases its value by 26 out of every 6 units. So, the ratio of the decrease is 26/6.

Indicator h: The first specimen of the second pair increases its value by 18 out of every 8 units, and the second specimen increases its value by 17 out of every 23 units. The difference between these two rates is (18/8) - (17/23) = (23*18 - 16*17) / (8*23) = 411/184.

Now, we need to find the value of indicator f, which is the product of indicators i and h.

Indicator f = i \* h = (26/6) \* (411/184) = 1199/1104.

### Answer: 1199/1104

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?

Mixtral 8x7B:

 Reasoning: The total gestation period of both animals is 20/22 \* 1 year (lioness) + 15 \* 1 years (giraffe) = (20/22 + 15) \* 1 years = (20+330)/22 \* 1 years = 350/22 ≈ 15.91 years.
The second gestation period of the lioness is 20/22 \* 1 years - 15/20 \* 1/12 years = (20/22 - 1/16) \* 1 years = (320-33)/352 \* 1 years ≈ 15.76 years.
### Answer: 15.91 years for both animals and approximately 15.76 years for the second lioness pregnancy.

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?

Mixtral 8x7B:

 Reasoning: The scaling factor is 18/17.
The area of the similar rectangle is (19/6 \* 30/7) \* 18/17 = 19 \* 30 \* 18 / (6 \* 7 \* 17) = <<(19*30*18)/(6*7*17)=54>>54 square meters.
### Answer: 54 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?

Mixtral 8x7B:

 Reasoning: The factory produces 23/8 + 4/20 = (23*5 + 1*2)/40 = 119/40 = <<119/40=2.975>>2.975 tonnes of soap before the power cut.
After the power cut, the factory produces 2.975 - 19/24 = (2.975*24 - 19)/24 = 70.4583333333 - 19/24 = 69.5583333333 - 0.0416666666667 = 69.5166666666 tonnes of soap.
### Answer: 69.52 tonnes of soap

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'.

Mixtral 8x7B:

 Reasoning: The machine starts with 24/8 = <<24/8=3>>3 gallons of red paint and then pours away 12/8 = <<12/8=1.5>>1.5 gallons of the mix. This means that there are 3 - 1.5 = <<3-1.5=1.5>>1.5 gallons of red paint left in the machine.
Then, the machine adds another 1/28 gallon of blue pigment to the mix, so there are 1.5 - 1/28 = <<1.5-1/28=1.4607142857142858>>1.4607 gallons of paint in the machine after adding the blue pigment.
### Answer: 1.4607

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.

Mixtral 8x7B:

 Reasoning: To multiply the fractions (27 / 14) and (17 / 13), we multiply the numerators and multiply the denominators:
(27 * 17) / (14 * 13) = 459 / 182

To simplify the fraction 459 / 182, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:
459 / 182 = (459 / 3) / (182 / 3) = 153 / 61

### Answer: 153 / 61 ounces of mashed bananas are required.

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.

Mixtral 8x7B:

 Reasoning: Sonia uses 21/12 oz and Anthony uses 6/27 oz of toothpaste daily. The simplified fraction for the amount used by Sonia and Anthony is:
(21/12 + 6/27) = (63/36 + 8/36) = 71/36 oz
Now, mom uses 3/18 oz of toothpaste daily. The simplified fraction for the final total daily toothpaste usage for the whole family is:
(71/36 + 3/18) = (71/36 + 6/36) = 77/36 oz
### Answer: 77/36 oz (or 2.14 oz)

Expected answer: 77/36

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: First, we need to calculate the fraction of the original ingredients left after making the first sandwich:
(7 / 18) + (21 / 14) = (7\*7 + 21\*14) / (18\*14) = 329 / 252
For the simpler sandwich, you used half of the wheel of cheese, which is 1/2 \* 14/14 = 14/14 = 1.
So, you have 329/252 - 1 = 77/252
### Answer: 77/252

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?

Mixtral 8x7B:

 Reasoning: To find the total height of the two windows, we need to add their heights:
15/6 + 7/1

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?

Mixtral 8x7B:

 Reasoning: First, we need to simplify the fractions of apple and orange juice:
16/6 = 8/3 and 20/12 = 5/6
Then, we add the fractions of apple juice, orange juice, and cranberry juice:
8/3 + 5/6 + 2/3 = (8+5+4)/6 = 17/6
### Answer: 17/6 liters or approximately 2.83 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.

Mixtral 8x7B:

 Reasoning: If you have played 13/10 of these levels, then you have earned 13/10 \* 4/3 = (13 \* 4) / (10 \* 3) = 52/30 = 13/7.5 points.
### Answer: 13/7.5 or 1 2/7 (simplified fraction)

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?

Mixtral 8x7B:

 Reasoning: The astronaut spends 18/8 + 26/2 = (18+2*26)/8 = (18+52)/8 = 70/8 = <<(18+52)/8=70/8=8.75>>8.75 hours on his previous routine.
He adds 30/8 hours of reviewing data, so his new total is 8.75 + 30/8 = 8.75 + 3.75 = <<8.75+3.75=12.5>>12.5 hours.
### Answer: 12.5 hours

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.

Mixtral 8x7B:

 Reasoning: To find the amount of cheese Jeremy actually received, we can use the equation d = n - (17 / 22), where n is the amount of cheese he requested, which is 30/9 ounces.
Substituting n with 30/9, we get d = 30/9 - 17/22.
To solve for d, we need to find a common denominator for 9 and 22, which is 198.
Multiplying both the numerator and denominator of 30/9 by 22, we get 660/198.
Multiplying both the numerator and denominator of 17/22 by 9, we get 153/198.
Subtracting 153/198 from 660/198, we get 507/198 ounces.
### Answer: Jeremy actually received 507/198 ounces of cheese.

Expected answer: 169/66

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning:
First test: 13/4
Second test: 20/18 = 10/9
Third test: 21/17

Adding the first, second, and third tests: (13/4) + (10/9) + (21/17) = (156 + 130 + 231) / (68) = 517 / 68 = 1721 / 228 = 57/8 (simplified fraction)

Subtracting the fourth test: (57/8) - (16/30) = (1710 - 224) / 240 = 1486 / 240 = 743 / 120 = 247 / 40 = 61/10 (simplified fraction)
### Answer: 61/10

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?

Mixtral 8x7B:

 Reasoning:
First, let's find out how many cups of mayonnaise and sandwich spread Shawn uses in a sandwich:
23/28 + 6/9 = (69+56)/128 = 125/128 cups

Next, let's add the cheese spread to the recipe:
125/128 + 18/12 = (125+108)/128 = 233/128 cups

Finally, let's find out how many cups of ingredients Shawn needs to make an equal number of sandwiches using 4/4 cups of all the ingredients combined:
233/128 \* 4/4 = 233/128 cups

### Answer: Shawn needs 233/128 cups of ingredients to make an equal number of sandwiches using 4/4 cups of all the ingredients combined.

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?

Mixtral 8x7B:

 Reasoning: Cassandra lost 7/6 - (7/6 - 1/21) = 7/6 - 13/42 = 14/42 - 13/42 = 1/42 key sets.
Since 1/42 is a very small fraction, we can say that Cassandra still has 7/6 key sets after losing 1/21 of a key set.
### Answer: 7/6 key sets

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.

Mixtral 8x7B:

 Reasoning: First, calculate the sum of the ratios of the two sections:
(29 / 23) + (19 / 17) = 662 + 495 / (23)(17) = 1157 / 391

Now, calculate the difference between the sum of the ratios and the ratio of the rest:
(1157 / 391) - (26 / 26) = (1157 - 26(14)) / 391 = 1131 / 391
### Answer: 1131 / 391

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.

Mixtral 8x7B:

 Reasoning: To multiply two fractions, you multiply the numerators together and the denominators together.
The product of 22/25 and 22/8 is (22*22)/(25*8) = 484/200 = 242/100 = 2.42.
### Answer: 2.42 

Note: The answer is displayed as a decimal because the question asks for the "product" and not the simplified fraction form.

Expected answer: 121/50

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: The total length of the pillow is 23/9 + 22/25 = (23*25 + 22*9)/(9*25) = 649/225 feet.
The length of border material James will need is 649/225 * 16/13 = (649*16)/(225*13) = 10384/2925 feet.
### Answer: 10384/2925 feet or approximately 3.545 feet.

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.

Mixtral 8x7B:

 Reasoning: The car was supposed to travel an additional 16/13 - 1/21 = (16*21 - 1*13)/(13*21) = <<(16*21 - 1*13)/(1

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?

Mixtral 8x7B:

 Reasoning: The editing team takes 20/5 = <<20/5=4>>4 hours to edit a manuscript and the typesetting team needs 18/1

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?

Mixtral 8x7B:

 Reasoning: Jenny sells 13/11 * 21/3 = <<13/11*21/3=91/3>>91/3 rows of potatoes.
Each row yields 21/15 bushels, so Jenny sells 91/3 * 21/15 = <<91/3*21/15=1302/45>>1302/45 bushels.
At the farmer's market, Jenny earns 21/15 dollars per bushel, so she makes 1302/45 * 21/15 = <<1302/45*21/15=3252/25=130.08>>130.08 dollars in total.
### Answer: 130.08 dollars

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?

Mixtral 8x7B:

 Reasoning: 14/28 of a kilogram of gold is equal to 1/2 kilogram of gold.
13/26 of a kilogram of silver is equal to 1/2 kilogram of silver.
The sum of the amount of gold and silver used by the jeweler is 1/2 kg + 1/2 kg = 1 kg.
### Answer: 1 kg

Expected answer: 1

Correct? Yes

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?

Mixtral 8x7B:

 Reasoning: The beekeeper would have (25/9 + 2/26) gallons of honey from one honey storage sub-section and one bee rearing sub-section.
Converting both fractions to have a common denominator of 234 (the least common multiple of 9 and 26):
(25/9 + 2/26) = (50 + 3)/234 = 53/234
So, s = 53/234 gallons of honey.
### Answer: s = 53/234 gallons of honey.

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.

Mixtral 8x7B:

 Reasoning: During the day, the dinosaur eats 16/8 = <<16/8=2>>2 bunches of leaves per hour.
During the night, the dinosaur eats 6/17 = <<6/17=0.3529411764705882>>0.35 bunches of leaves per hour (rounded to two decimal places).
In an hour, the dinosaur eats 2 (day) + 0.35 (night) = <<2+0.35=2.35>>2.35 bunches of leaves.
### Answer: 2.35 bunches of leaves

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?

Mixtral 8x7B:

 Reasoning: First, we need to find a common denominator for all the fractions. In this case, the least common multiple of 6, 18, and 22 is 396.

The bear ate 28 * (396/6) = <<28*(396/6)=1428>>1428/396 pounds of fish on the first day.
The bear ate 21 * (396/18) = <<21*(396/18)=462>>462/396 pounds of fish on the second day.
The bear ate 24 * (396/22) = <<24*(396/22)=414>>414/396 pounds of fish on the third day.

Adding these together, the bear ate 1428/396 + 462/396 + 414/396 = (1428 + 462 + 414) / 396 = 2304 / 396 pounds of fish in these three days.

Simplifying the fraction, 2304 / 396 = 8 * 288 / 132 * 3 = 64 / 3.
### Answer: 64/3 pounds of fish.

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?

Mixtral 8x7B:

 Reasoning: Heather used 11/17 + 6/2 = (11*2 + 6*17)/(17*2) = 39/34 cups of sugar for the original recipe.
Heather increased the sugar by a factor of 29/21, so she used 39/34 \* 29/21 = 1043/718 cups of sugar in total.
### Answer: 1043/718 (rounded to two decimal places, this is approximately 1.45 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?

Mixtral 8x7B:

 Reasoning: First, we need to convert the mixed numbers to improper fractions:
(7/8 + 21/18) = (21/24 + 42/36)

Next, find a common denominator for the fractions, which in this case is 72:
(21/24 + 42/36) = (147/72 + 84/72)

Now, add the fractions:
147/72 + 84/72 = 231/72

Finally, simplify the fraction: 231/72 = 77/24
### Answer: 77/24

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.

Mixtral 8x7B:

 Reasoning: First, we need to calculate the amount of liquid (v) consumed by the guests and the baker separately.

Guests' consumption (v) = Water (15/7 gallons) + Wine (15/24 gallons)
= (15/7 + 15/24) gallons
= (120 + 35)/168 gallons
= 155/168 gallons

Baker's requirement (v) = Milk (26/20 gallons)
= (26/20) gallons

Now, we need to multiply the baker's requirement by the guests' consumption to get the total amount of liquid (v).

v = (155/168) * (26/20) gallons
= (155 * 26) / (168 * 20) gallons
= 4030 / 3360 gallons

Finally, we need to add the guests' consumption (v) to the total amount of liquid (v) to get the total amount of liquid (x) needed for the feast.

x = v + v
= (4030 / 3360) + (155 / 168) gallons
= (4030 + 155 * 20) / 3360 gallons
= 5130 / 3360 gallons

### Answer: The total amount of liquid (x) needed for the feast is 5130/3360 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?

Mixtral 8x7B:

 Reasoning: First, let's find Teddy's new number by adding 30/17 and 18/1

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).

Mixtral 8x7B:

 The diameter of each hole drilled with Johnny's current drill bit is (11/21) cm.
The diameter of the desired hole is (20/6) cm.
The fraction of the desired diameter that each hole would have is:
(11/21) / (20/6) = (11/21) \* (6/20) = (11 \* 6) / (21 \* 20) = <<(11*6)/(21*20)=(11/20)*1=(11/20)>> (11/20)
### Answer: (11/20)

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.

Mixtral 8x7B:

 Reasoning: The first model takes 17/10 hours and the second model takes 12/23 hours.
The difference in time is therefore 17/10 - 12/23 = (23*17 - 10*12)/(10*23) = 391/230.
### Answer: 391/230 or 1.7 hours (when converted to decimal)

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.

Mixtral 8x7B:

 Reasoning: Carlos uses (24/5)*(7/6) = <<(24/5)*(7/6)=32/5=6.4>>6.4 more units of wood than usual.
Carlos uses 20+6.4 = <<20+6.4=26.4>>26.4 units of wood for one special chair.
### Answer: 26.4 
(Simplified, 26.4 is the simplest form as it cannot be reduced further.)

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?

Mixtral 8x7B:

 Reasoning: The car first slows down by 14/15 miles per minute, so its new speed is 13/4 - 14/15 = (45-14)/60 = 31/60 miles per minute.
Then, the car increases its speed again by 30/15 = 2 miles per minute, so its final speed is 31/60 + 2 = (31+120)/60 = 151/60 miles per minute.
### Answer: 151/60 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?

Mixtral 8x7B:

 Reasoning for part 1: The vineyard usually produces 19/2 baskets of grapes every season. This season, only 19/2 * (19/29) = <<19/2*19/29=19^2/2*29=361/58=6+1/58=6.01724137931>>6.02 baskets of grapes were produced.

Reasoning for part 2: Jake gets to keep 7/11 of the total amount of grapes. So, he gets 6.02 * (7/11) = <<6.02*7/11=42.14/11=3.83090909091>>3.83 baskets of grapes.

Reasoning for part 3: Jake uses 9/10 of his grapes to make the juice. So, he uses 3.83 * (9/10) = <<3.83*9/10=34.47/10=3.447>>3.45 baskets of grapes for the juice.

### Answer for part 1: 6.02 baskets
### Answer for part 2: 3.83 baskets
### Answer for part 3: 3.45 baskets

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.

Mixtral 8x7B:

 Reasoning: Joel picked 9/2 + 10/22 = (9*22 + 10*2)/(2*22) = 198/44 = <<(198/44)=4.5>>4.5 bushels of grapes.
### Answer: 4.5 bushels of grapes

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?

Mixtral 8x7B:

 Reasoning: The radius of the larger snowball is 17/16 feet (half of its diameter), and the radius of the smaller snowball is 1/40 feet (half of its diameter).
The height of the larger snowball is its diameter times its radius, which is 17/8 feet times 17/16 feet = 289/128 feet.
The height of the smaller snowball is its diameter times its radius, which is 1/20 feet times 1/40 feet = 1/8000 feet.
The total height of the snowman is the sum of the heights of the two snowballs, which is 289/128 feet + 1/8000 feet = 224227/1000000 feet.
### Answer: The total height of the snowman is approximately 0.2242 feet or 224227/1000000 feet.

Expected answer: 87/40

Correct? No

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.

Mixtral 8x7B:

 Reasoning: The first child splits up 24/7 ≈ <<24/7=3.42857142857>>3.43 parts of the sand. Since this is a fair split, each part is equal to 24/7 / 3.43 ≈ 0.7014925373134328 parts.
The second child takes away 2/1

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.

Mixtral 8x7B:

 Reasoning: The lion ate 28/26 of a zebra in one day, which simplifies to 14/13.
The lion ate 23/9 of a wildebeest the next day.
To find the difference, subtract the fractions: 14/13 - 23/9.
To do this, find a common denominator, which is 117.
Then, subtract the numerators: 14 - 69 = -55.
Since the difference is negative, the lion ate 55/117 more of the wildebeest than the zebra.
### Answer: 55/117

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)).

Mixtral 8x7B:

 Reasoning: First, we simplify the fractions: 14/4 simplifies to 7/2 and 21/11 stays the same.
Then, we multiply the simplified fractions: (7/2) * (21/1

Expected answer: 147/22

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: To find the expected number of bananas produced by the two species together on a random day, we need to calculate the probability of each species producing bananas on that day and then add those probabilities together.

The probability of the first species producing bananas on a random day is 12/29 because there are 12 bananas produced in 29 days.

The probability of the second species producing bananas on a random day is 30/10 = 3 because there are 30 bananas produced in 10 days.

Using the formula ((12 / 29) + (30 / 10)), we get:

(12/29) + 3 = (12/29) + (3 * 29/10) = (12/29) + (87/10) = (12 + 261)/29 = 273/29

So, the expected number of bananas produced by the two species together on a random day is 273/29.

### Answer: 273/29

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.

Mixtral 8x7B:

 Reasoning: To find the total amount of food the giraffe needs to eat in a day, we need to add the amount of acacia leaves and grasses.
First, we need to convert 11/1

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.

Mixtral 8x7B:

 (18 / 24) \* (27 / 13) = (3 / 4) \* (9 / 13) = 27 / 52 = 0.5192307692307692
### Answer: 0.52 (rounded to two decimal places)

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.

Mixtral 8x7B:

 Reasoning: The formula given is incorrect for this problem. The correct formula should be: f = (9/14 + 19/2) * (2/21), where 2/21 is the least common denominator of 9/14 and 19/2.
Calculating the formula:
(9/14 + 19/2) \* (2/21) = (9*2 + 19*14) / (14*21) = 297 / 294 = 1.0137931...
Since a fraction must be in the form of a/b, we can simplify the answer to 101/100.
### Answer: 101/100

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.

Mixtral 8x7B:

 Reasoning: First, we simplify the fraction (14 / 2) / (23 / 17) to get 7 / (23 / 17) = 7 * (17 / 23) = 51 / 23 = 2 zogs (rounded to the nearest whole number).
Then, we add the increase of (16 / 24) zogs, which simplifies to (2 / 3) zogs.
So, the Zogorian's energy level after the increase is 2 zogs + (2 / 3) zogs = (6 / 3) zogs + (2 / 3) zogs = 8 / 3 zogs = 2.67 zogs (rounded to two decimal places).
### Answer: 2.67 zogs

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?

Mixtral 8x7B:

 Reasoning: First, we need to find out how many more friends Teddy hides in the forest than at the beach:
18/11 - 8/21 = (18*21 - 8*11)/(11*21) = 378/231 = 18/11
So, Teddy hides the same number of friends in the forest and at the beach. Therefore, 'f' is 0, and 'n', the total number of hiding spots Teddy needs, is f^2 = 0^2 = 0.
### Answer: 0

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.

Mixtral 8x7B:

 Reasoning: The robot used 27/23 units of energy, so it has 25/10 - 27/23 = (25*23 - 27*10)/(10*23) = 575 - 270 / 230 = 305 / 230 = 13/9 ≈ 1.44 units of energy left.
### Answer: The robot has approximately 1.44 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.

Mixtral 8x7B:

 Reasoning: The combined distance covered by the first two snails in one hour is (17/21 + 20/24) = (17*24 + 20*21)/(21*24) = 537/504 meters.
The third snail covers 18/17 meters in one hour.
Their total distance in meters 1 hour after all three have started moving is 537/504 * 18/17 = 378/235 meters.
### Answer: 378/235 

(Note: The answer is expressed as a fraction, not a decimal number.)

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?

Mixtral 8x7B:

 Reasoning: The difference between the original and remaining fabric is (24/14 - 9/29) yards.
The difference simplifies to (162 - 45)/14 = 117/14 yards.
Johnny used 15/2 \* (117/14) yards of the new fabric.
Johnny used 15/2 \* (117/14) \* (2/15) = 117/14 \* (1/1) = 117/14 yards of the new fabric.
### Answer: 117/14 yards or approximately 8.36 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.

Mixtral 8x7B:

 Reasoning: To add the fractions 2/10 and 21/4, we need to get them to have the same denominator. The least common denominator of 10 and 4 is 20.
So, 2/1

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.

Mixtral 8x7B:

 Reasoning: (18/30) * (22/6) = (3/5) * (11/3) = 33/15 = <<33/15=2.2>>2.2 hours.
### Answer: 2.2 hours.

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?

Mixtral 8x7B:

 Reasoning: The cat eats 16/12 + 6/10 = (10+9)/30 + 18/30 = 19/30 + 18/30 = 37/30 = 1 + 7/30 = 1 + 0.23333333333333335 = 1.2333333333333333 cans in one day.
### Answer: 1.2333333333333333 cans

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?

Mixtral 8x7B:

 Reasoning: The first group of nests has 3 nests with 12 eggs in total, so the average number of eggs per nest is 12/3 = <<12/3=4>>4 eggs.
The second group of nests has 4 nests with 11 eggs in total, so the average number of eggs per nest is 11/4 = <<11/4=2.75>>2.75 eggs.
The difference between the average number of eggs per nest for these two groups of nests is 4 - 2.75 = <<4-2.75=1.25>>1.25 eggs.
### Answer: 1.25

Expected answer: 5/4

Correct? Yes

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?

Mixtral 8x7B:

 Reasoning: The monkey ate (22/7) * (10/25) = (22*10)/(7*25) = (2*10)/(1*5) = 20/5 = <<(22/7)*(10/25)=(2*10)/(1*5)=20/5=4>>4 bananas.
The monkey gave (3/28) of the pile to his friend, which is 3/28 \* x, where x is the whole pile.
Since the monkey had 4 bananas left, we can write the equation: x - 3/28 \* x = 4.
Solving for x, we get x = 4 / (1 - 3/28) = 4 / (25/28) = 4 \* (28/25) = 4 \* 1.12 = <<4*(28/25)=4*1.12=4.48>>4.48 bananas.
### Answer: The monkey has 4.48 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?

Mixtral 8x7B:

 Reasoning: The mouse runs at a speed of 24/20 * 1 = <<24/20=1.2>>1.2 feet per second.
The mouse runs 1.2 \* 23/2 = <<1.2\*23/2=13.8>>13.8 feet in 23/2 seconds.
### Answer: 13.8 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?

Mixtral 8x7B:

 Reasoning: First, we need to find out how many ounces of beverage were in the consumed glasses. 26/25 of the glasses contain 29/9 ounces each, so 26/25 \* 29/9 ounces were consumed. This simplifies to 182/45 ounces.
Then, 2/19 ounces were consumed in addition to that.
So, the total ounces consumed are 182/45 + 2/19 = (182 \* 19 + 2 \* 45) / (45 \* 19) = 3517/855 ounces.
### Answer: 3517/855 ounces

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?

Mixtral 8x7B:

 Reasoning: You added 7/1

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.

Mixtral 8x7B:

 Reasoning: The book's weight (1/6 kg) is added to the backpack's weight (27/20 kg).
The total weight is (27/20 + 1/6) = (27/20 + 10/60) = (63/60 + 10/60) = 73/60 kg.
### Answer: 73/60 (or 1.2167 when expressed as a decimal)

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?

Mixtral 8x7B:

 Reasoning: The multiplier of the new bottle compared to the old one is given by (7/7)*(25/22) = 1*(25/22) = <<(7/7)*(25/22)=1*(25/22)=(25/22)>>25/22.
### Answer: 25/22 or approximately 1.136  (rounded to four decimal places)

Expected answer: 25/22

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: Tilly has 25/9 + 8/13 + 24/27 + 21/26 = (13*25 + 9*8 + 12*24 + 13*21)/104 = 325 + 72 + 288 + 273)/104 = 958/104 = 23/26 kg of food in total.
### Answer: 23/26

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.

Mixtral 8x7B:

 Reasoning:
1. Calculate the difference between the distance of the island and the current location of the boat: 17/2 - 4/2 = <<17/2-4/2=13/2=6.5>>6.5 nautical miles.
2. Adjust for the tide by adding the estimated push: 6.5 + 14/9 = <<65/9+14/9=79/9>>8.78 nautical miles (rounded to two decimal places).
3. Multiply the adjusted distance by the fuel efficiency: 8.78 \* 22/15 = <<8.78*22/15=12.688>>12.69 nautical miles (rounded to three decimal places).
### Answer: 12.69 nautical miles.

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?

Mixtral 8x7B:

 Reasoning: The forest ranger patrolled 2/18 = <<2/18=0.1111111111111111>>0.11 miles less in the afternoon than in the morning.
In the morning, the forest ranger patrolled 14/3 = <<14/3=4.666666666666667>>4.67 miles.
So, in the afternoon, the forest ranger patrolled 4.67 - 0.11 = <<4.67-0.11=4.56>>4.56 miles.
### Answer: 4.56 miles

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?

Mixtral 8x7B:

 Reasoning: Arthur practices 11/29 hours more on the weekend.
### Answer: 11/29 hours 
(Note: I assumed you wanted to know how much more time Arthur practices on the weekend, since he already practices 20/21 hours every day.)

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.

Mixtral 8x7B:

 Reasoning: First, we need to find out how many shirts each sibling got initially. 18 shirts divided equally among 3 siblings is (18 / 3) = 6 shirts per sibling.
Then, we need to find out how many shirts each sibling would get from the 27 new shirts. That would be (27 / 19) = 1.42 shirts per sibling.
Since Lucas decided to keep only 1 shirt for each sibling from the 27 new shirts, each sibling now has (6 - 1) = 5 shirts.
The difference in the number of shirts each sibling has now compared to before is ((18 / 3) - (27 / 19)) = (6 - 1.42) = 4.58 shirts.
### Answer: 4.58 

(Note: The answer is an approximation since the number of shirts each sibling gets from the 27 new shirts is a fraction.)

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?

Mixtral 8x7B:

 Reasoning: The painter mixed 7+2/5 = <<7+2/5=7.4>>7.4 gallons of paint in total.
The painter used 18/4 = <<18/4=4.5>>4.5 gallons of the light blue paint.
The painter has 7.4-4.5 = <<7.4-4.5=2.9>>2.9 gallons of the light blue paint left.
### Answer: 2.9 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?

Mixtral 8x7B:

 Reasoning: Jayson spent 24/7 = <<24/7=3.4285714285714284>>3.43 hours on the first day (rounded to the nearest hundredth).
Jayson spent 30/20 = <<30/20=1.5>>1.5 hours on the second day.
Jayson spent 3.43+1.5 = <<3.43+1.5=4.93>>4.93 hours skating over the two days.
### Answer: 4.93 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?

Mixtral 8x7B:

 Reasoning: If a dolphin jumps 3/4 of its usual height, it jumps (18/3)*(3/4) = <<(18/3)*(3/4)=18/4=4.5>>4.5 feet out of the water.
### Answer: 4.5 feet

Expected answer: 9/2

Correct? No

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.

Mixtral 8x7B:

 Reasoning: The ratio of last month's sales to production is (20/15 + 16/22) = (4/3 + 8/11) = (44 + 40)/33 = 84/33.
The ratio of interested customers to production this week is (22/27 * 23/8) = (11/13.5 * 23/8) = 253/112.
The result of the multiplication is (84/33) * (253/112) = (84*253)/(33*112).
### Answer: (84*253)/(33*112)

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?

Mixtral 8x7B:

 Reasoning: The musician spent 30/15 = <<30/15=2>>2 minutes on each song.
The musician then spent 2 - 2/17 = (34/17) <<(2-2/17)*17/17=34/17=2-0.11764705882352941176470588235294>> minutes on a particular song.
### Answer: 2 - 0.11764705882352941176470588235294 minutes or approximately 1 minute and 48 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.

Mixtral 8x7B:

 Reasoning: Josh rode the scooter for 18 hours on the first day and 1/12 hour on the second day, for a total of 18 + 1/1

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?

Mixtral 8x7B:

 To find the total fraction of lamps that constitute the inventory, we need to add the fractions of floor lamps, desk lamps, table lamps, and decorative lamps.

First, we need to get a common denominator for all the fractions. The least common multiple of 26, 11, 28, and 19 is 1288.

So, we convert each fraction to have a denominator of 1288:

Floor lamps: 4/26 = (4 \* 49) / (26 \* 49) = 196 / 1274
Desk lamps: 15/11 = (15 \* 116) / (11 \* 116) = 1740 / 1274
Table lamps: 23/28 = (23 \* 46) / (28 \* 46) = 1058 / 1274
Decorative lamps: 8/19 = (8 \* 68) / (19 \* 68) = 544 / 1274

Now, we add the fractions:

Total = 196/1274 + 1740/1274 + 1058/1274 + 544/1274 = 4538/1274

So, the total fraction of the inventory is 4538/1274 or 2.07 (rounded to two decimal places).

However, this fraction is greater than 1, which means that the fractions are overlapping and represent more than 100% of the inventory. This is not possible, as the fractions should add up to 100%. It seems that there is an error in the given data, as the fractions cannot be added directly to find the total fraction of the inventory.

### Answer: The given data is inconsistent and cannot be used to determine the total fraction of the inventory.

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.

Mixtral 8x7B:

 Reasoning: First, add the lengths of the two strings: 26/19 + 7/11 = (26*11 + 7*19) / (19*11) = 361/209
Then, multiply the length of the combined string by 5/8: (361/209) \* (5/8) = 1805/1672
### Answer: 1805/1672 

(Note: The fraction 1805/1672 cannot be simplified further.)

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

Mixtral 8x7B:

 Reasoning: First, we need to find the value of 'u'. To do this, we need to find a common denominator for 9/1

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.

Mixtral 8x7B:

 Reasoning: The first worker packages 26/18 = <<26/18=1.388888888888889>>1.3889 pieces of chocolate per minute.
The second worker packages 15/15 = <<15/15=1>>1 piece of chocolate per minute.
Together, they package 1.3889 + 1 = <<1.3889+1=2.3889>>2.3889 pieces of chocolate per minute.
### Answer: 2.3889 (rounded to 2.39 for practical purposes) 

(Note: The answer is not a whole number because the rate at which the first worker packages chocolate is a fraction of a piece per minute.)

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.

Mixtral 8x7B:

 Reasoning: To find the total number of batches of towels Joanna washed, we need to calculate the number of batches she washed for each size of towel separately, then add those numbers together.

First, let's find the number of batches of small towels Joanna washed: 24/20 = 1.2 batches per cycle, but Joanna can only wash whole batches, so she washed 1 batch of small towels.

Next, let's find the number of batches of large towels Joanna washed: 25/15 = 1.67 batches per cycle, but Joanna can only wash whole batches, so she washed 2 batches of large towels.

Now, let's add the number of batches of small towels and large towels Joanna washed: 1 + 2 = <<1+2=3>>3 batches.
### Answer: 3 batches

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?

Mixtral 8x7B:

 Reasoning: First, let's find the new ratio of flour to sugar after subtracting (21/26) from the first recipe's ratio:

The first recipe's ratio is (27/3) / (11/7) = 63/11

Subtracting (21/26) from this ratio gives us: (63/11) - (21/26) = (126-21)/22 = 105/22

Now, add (22/9) cups of flour from the second recipe to the new ratio:

(105/22) + (22/9) = (105*9 + 22*48) / 198 = 1407/198

So, Debra will have (1407/198) cups of flour in the end.

### Answer: Debra will have (1407/198) cups of flour in the end.

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?

Mixtral 8x7B:

 Reasoning: First, we need to find the difference between the number of chickens in the two farms: 26/13 - 9/1

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'?

Mixtral 8x7B:

 Reasoning: The distance flown for each exercise is 'w' = 24/14 miles.
The total distance flown for both exercises is 't' = w * w = (24/14) * (24/14) = 576/196.
### Answer: t = 576/196

Expected answer: 144/49

Correct? Yes

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.

Mixtral 8x7B:

 Reasoning: First, we need to convert the given fractions to have the same denominator.
20/16 = (20*25)/(16*25) = 500/400
24/25 = (24*16)/(25*16) = 384/400
Now, we can add the two fractions:
500/400 + 384/400 = 884/400
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 4:
884/400 = 221/100
### Answer: The UFO was able to refill 221/100 of its tank during these two stops.

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?

Mixtral 8x7B:

 First, we need to convert the fractions to a common denominator, which is 27 * 26 = 702.

The first fraction becomes: 24 / 27 = 24 * (26 / 27) = 24 * 26 / 27 = 624 / 27.

The second fraction becomes: 30 / 26 = 30 * (27 / 26) = 30 * 27 / 26 = 810 / 26.

Now, we can add the two fractions: (624 / 27) + (810 / 26) = 624 * 26 / (27 * 26) + 810 * 27 / (26 * 27) = 16224 / 702 + 21870 / 702.

The sum of these fractions is: 16224 / 702 + 21870 / 702 = (16224 + 21870) / 702 = 38094 / 702.

### Answer: Professor Astro finds that the sum of the two fractions is 38094 / 702.

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.

Mixtral 8x7B:

 Reasoning: Kiki ate 11/6 bananas in the afternoon.
Kiki ate 11/6 + 11/6 = (11+11)/6 = 22/6 bananas in total.
### Answer: 22/6

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?

Mixtral 8x7B:

 Reasoning: To find the total amount of milk one cow gives in one day, we need to multiply the morning and evening amounts.
(26/14) \* (28/20) = (26 \* 28) / (14 \* 20) = 728 / 280 = 26/10
### Answer: 26/10 gallons of milk per cow in one day.

Expected answer: 13/5

Correct? Yes