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?

Mistral 7B:

 Reasoning: First, let's find the initial number of cucumbers per plant:
(22/3) * (22/19) = (464/57) = <<(464/57)=7.93 as a decimal, but since we're looking for whole cucumbers, we'll round up to 8 cucumbers per plant.>>8 cucumbers per plant.

Now, let's find the new number of cucumbers per plant after adjusting her production method:
8 * (23/17) = (168/17) = <<(168/17)=9.88 as a decimal, but since we're looking for whole cucumbers, we'll round up to 10 cucumbers per plant.>>10 cucumbers per plant.
### Answer: 10 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?

Mistral 7B:

 Reasoning: Pierre ate 7/25 of his grapes, so he has 19/4 - (7/25) * (19/4) = <<(19/4 - (7/25)*(19/4)=15.44>>15.44 kg of grapes left after eating.
Then, his mother gave him 30/9 kg more grapes, so he has 15.44 + 30/9 = <<15.44 + (30/9)=17.788888888888889>>17.79 kg of grapes now.
### Answer: 17.79 kilograms

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?

Mistral 7B:

  Reasoning: First, let's find the fraction of the budget spent on wall repairs: 26/22.
Next, let's find the fraction of the budget spent on moat renovations: 4/29.
Finally, let's find the fraction of the budget spent on defensive catapults: 11/3.
To find the total fraction of the budget spent on all projects, we add the fractions: (26/22) + (4/29) + (11/3).
To add the fractions, we need a common denominator. The least common multiple of 22, 29, and 3 is 861.
Now, we convert each fraction to have 861 as the denominator:
(26/22) * (861/861) = (2092/1844)
(4/29) * (861/861) = (344/1844)
(11/3) * (287/287) = (1121/861)
Now, we add the fractions: (2092/1844) + (344/1844) + (1121/861) = (4557/861)
### Answer: 4557/861 ............... (This fraction can be simplified to 23/43)

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.

Mistral 7B:

 Reasoning: First, we need to find the multiplier for the peculiar eating habit: (25/19) * (30/26) = (900/621).
Now, we need to find the square of this multiplier: (900/621)^2 = (900^2 / 621^2) = 810000 / 3846601.
Finally, we need to multiply this result with the regular daily intake (1): (810000 / 3846601) * 1 = 810000 / 3846601.
### Answer: 810000 / 3846601  pounds of acacia leaves should be prepared for the giraffe for a week.

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?

Mistral 7B:

 Reasoning: The necklace requires 11/3 feet of yarn, and the smaller beads will extend the length by 8/30 feet. To find the total length of the necklace with the beads, we add the lengths:
(11/3) + (8/30) = (11*1 + 8)/(3*10) = (11+8)/30 = 19/30 feet.
### Answer: 19/30 feet of materials will be needed to make the necklace.

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.

Mistral 7B:

 Reasoning: After one minute, Plane A travels 24/11 miles, and Plane B travels 26/27 miles. The difference in distance traveled is (24/11) - (26/27). To find a common denominator, we can multiply both the numerator and denominator of the second fraction by 3: (24/11) - (78/81). To subtract the fractions, we find a common multiple of 11 and 81 that is also a denominator for both fractions. The least common multiple of 11 and 81 is 441. Multiplying both fractions by 41 gives us (964/441) - (312/441). Subtracting the numerators and keeping the denominator gives us (964-312)/441 = <<(964-312)/441=652/441>>652/441.
### Answer: 652/441

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.

Mistral 7B:

  Reasoning: To find the combined amount that both bears eat per day, we multiply the amount each bear eats per day.
(14/7) * (25/13) = (14 * 25) / (7 * 13) = 350 / 91 ≈ 3.84 pounds of fish per day.
### Answer: 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.

Mistral 7B:

 Reasoning: To find the total time it takes Toby to play both songs, we add the time it takes to play each song.

Time for the first song = 12/8 hours
Time for the second song = 12/3 hours

Total time = (12/8) + (12/3)

To add fractions with different denominators, we find a common multiple of the denominators. The least common multiple (LCM) of 8 and 3 is 24. We can convert each fraction to have a denominator of 24 by multiplying the numerator and denominator of the first fraction by 3, and multiplying the numerator and denominator of the second fraction by 8.

Converted time for the first song = (12*3/8*3) + (12/3*8/8) = (36/24) + (96/24) = (36+96)/24 = 132/24
Converted time for the second song = (12*8/3*3) + (12/3*8/8) = (96/24) + (12/24) = 108/24

Total time = (132/24) + (108/24) = (132+108)/24 = 240/24

Simplifying the fraction, we get:

Total time = 240/24 = 12

### Answer: 12 (hours)

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?

Mistral 7B:

  Reasoning: First, let's find the fraction of the initial chocolate bars: 28/29.
Next, let's find the fraction of the additional chocolate bars: 8/22.
To find the total fraction of chocolate bars, we add the fractions: (28/29) + (8/22).
To add these fractions, we need a common denominator, which is 114 (the least common multiple of 29 and 22).
Now, we convert both fractions to have the common denominator:
(28/29)*(114/114) + (8/22)*(114/114) = (28*114)/(29*114) + (8*114)/(22*114) = (3136/3138) + (856/3138) = (3136+856)/3138 = 3992/3138.
### Answer: 3992/3138 utsch!

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?

Mistral 7B:

 Reasoning: To produce two needles, the maker needs 27/26 * 2 = <<27/26*2=54/13>>54/13 pounds of material.
After producing the two needles, the maker needs an additional piece that requires 27/6 pounds of material.
So, the total amount of material needed is 54/13 + 27/6 = <<(54/13+27/6)=(369/39+162/39)=531/39>>531/39 pounds.
### Answer: 531/39 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?

Mistral 7B:

 Reasoning: To find the total rate, we add the rates of the two candles.
The rate of the first candle is 6/4 inches per hour.
The rate of the second candle is 14/16 inches per hour.
The total rate is (6/4) + (14/16) = (6*8 + 14*4)/(4*16) = 48/16 + 56/16 = 104/16 = <<104/16=6.25>>6.25 inches per hour.
### Answer: 6.25 utschinen pro Stunde.

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?

Mistral 7B:

 Reasoning: First, let's find out how much Sophia has after her friend gives her 1/4 of a dollar.
Sophia has 17/20 + 1/4 = (17/20 + 5/20) = 22/20 = 11/10 dollars.
Then, her brother gives her 1 dollar.
Sophia has 11/10 + 1 = (11/10 + 10/10) = 21/10 dollars.
### Answer: 21/10  eller 2.1 dollars (when simplified)

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))?

Mistral 7B:

 Reasoning: First, we need to find the total time spent on composing and writing lyrics, which is 16/4 + 16/29 = <<16/4+16/29=104/29>>104/29 hours.

Then, we add the time spent on mixing and mastering, which is 28/13 + 104/29 = <<28/13+104/29=132/29>>132/29 hours.

Since the drummer finished his parts quickly, we subtract 18/4 from the total time, which gives us (132/29 - 18/4) = <<(132/29-18/4)=(132*7-18*7*29)/(29*4)>>(504 - 206)/116 hours.
### Answer: (504 - 206)/116 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?

Mistral 7B:

 Reasoning: First, let's find out how many dozens of cookies Monica has after baking additional 29/17 dozens:
(21/15 + 29/17) * (15/15) * (17/17) = (21 + 29) * (15/17) = 50 * (15/17) = 75/17 dozens.
Now, let's increase her total stock by a ratio of 7/5:
(75/17) * (7/5) = (375/109) dozens.
### Answer: 375/109 ÷ 17 = 22 2/17 dozens.

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?

Mistral 7B:

 Reasoning: The chef uses 26/24 kg of sugar for one cake.
The chef has 28 kg - (26/24) kg of sugar left after making one cake.
The chef adds 10/6 kg of sugar to their supply.
The chef now has (28 - (26/24)) + (10/6) kg of sugar.
To simplify the fraction, we can find a common denominator for 24 and 6, which is 24.
So, (28 - (26/24)) + (10/6) = (28 - 13/4) + (20/24) = (28*4 - 13) / 4 + (20/24) = (112 - 13) / 4 + (5/8) = 99/4 + 5/8.
To find the least common multiple of 4 and 8, we can list the multiples of 4 and 8 and find the smallest number that is a multiple of both:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 300, 304, 308, 312, 316, 320, 324, 328, 332, 336, 340, 344, 348, 352, 356, 360, 364, 368, 372, 376, 380, 384, 388, 392, 396, 400, 404, 408, 412, 416, 420, 424, 428, 432, 436, 440, 444, 448, 452, 456, 460, 464, 468, 472, 476, 480, 484, 488, 492, 496, 500, 504, 508, 512, 516, 520, 524, 528, 532, 536, 540, 544, 548, 552, 556, 560, 564, 568, 572, 576, 580, 584, 588, 592, 596, 600, 604, 608, 612, 616, 6

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?

Mistral 7B:

 Reasoning: Emily spent 16 - (6 / 3) hours watching movies other than the comedy film.
To convert the fraction to a decimal, we multiply the numerator by the reciprocal of the denominator: (6 / 3) * (3/3) = 6/9 = 0.67 hours.
So Emily spent 16 - 0.67 = <<16-0.67=15.33>>15.33 hours watching movies other than the comedy film.
### Answer: 15.33 hours

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.

Mistral 7B:

 Reasoning: The total number of slices of both pies is 12 (apple) + 29 (blueberry) = <<12+29=41>>41 slices.
The number of slices she ate is 10 (apple) + 10 (blueberry) = <<10+10=20>>20 slices.
The fraction of the pies she ate is 20/41.
### Answer: 20/41 utschke

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.

Mistral 7B:

 Reasoning: Marta uses 20 colored pencils every 11 days, so she uses 20/11 colored pencils per day.
Since she only uses 23 out of every 26 colored pencils for shading, the fraction of colored pencils used for shading is 23/26.
To find out how many colored pencils Marta uses for shading in an 11-day period, we multiply the number of colored pencils used per day by the fraction of colored pencils used for shading: (20/11) * (23/26).
To simplify the fraction, we find the common multiple of the denominators 11 and 26, which is 26. We then divide both the numerator and the denominator by their greatest common divisor, which is 11: (20/11) * (23/26) = (20*23)/(11*26) = (460/266).
### Answer: 460/266 (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.

Mistral 7B:

 Reasoning:
For the first pair of specimens, the ratio of changes (indicator i) is:
(26/6) / (25/17) = (26*17) / (6*25) = 17/6

For the second pair of specimens, the difference between the rates (indicator h) is:
(18/8) - (17/23) = (18*23 - 17*8) / (8*23) = 153/184

The final evidence factor (indicator f) is the product of indicators h and i:
f = h * i = (153/184) * (17/6) = 153/104
### Answer: The final evidence factor (indicator f) is 153/104.

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?

Mistral 7B:

 Reasoning:
1. The total gestation period of both animals together in the first pregnancy is the sum of the gestation periods of a lioness and a giraffe.
   Total gestation period = (20/22) + 15 = (20+220)/22 = <<(20+220)/22=110/11>>110/11 years.

2. The gestation period of the lioness in the second pregnancy is the total gestation period of both animals in the first pregnancy minus 15/20 of a year.
   Second gestation period = (110/11 - 15/20) years.
   To find the common denominator, we can multiply both the numerators and denominators by 2:
   Second gestation period = (220/22 - 30/20) years.
   To find the least common multiple of 22 and 20, we can list the multiples of 22 and 20 and find the smallest number that is a multiple of both:
   Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858, 880, 902, 924, 946, 968, 990, 1012, 1034, 1056, 1078, 1100, 1122, 1144, 1166, 1188, 1210, 1232, 1254, 1276, 1298, 1320, 1342, 1364, 1386, 1408, 1430, 1452, 1474, 1496, 1518, 1540, 1562, 1584, 1606, 1628, 1650, 1672, 1694, 1716, 1738, 1760, 1782, 1804, 1826, 1848, 1870, 1892, 1914, 1936, 1958, 1980, 2002, 2024, 2046, 2068, 2090, 2112, 2134, 2156, 2178, 2200, 2222, 2244, 2266, 2288, 2310, 2332, 2354, 2376, 2398, 2420, 2442, 2464, 2486, 2508, 2530, 2552, 2574, 2596, 2618, 2640, 2662, 2684, 2706, 2728, 2750, 2772, 2794, 2816, 2838, 2860, 2882, 290

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?

Mistral 7B:

 Reasoning: The area of the original rectangle is (30/7)*(19/6) = (30*19)/(7*6) = 195/42 square meters.
The area of the similar rectangle is 18/17 times bigger, so its area is (18/17)*(195/42) = 195*(18/17)/42 = 10 square meters.
### Answer: 10 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?

Mistral 7B:

 Reasoning: First, let's find out how much extra soap was produced:
Extra soap = 4/20 = 1/5 tonnes

Now, let's find out how much soap was reduced due to the power cut:
Reduced soap = 19/24

Since the factory produces 23/8 tonnes of soap each day, we can represent the initial production as:
Initial production = 23/8

Now, let's add the extra soap produced and subtract the soap reduced due to the power cut:
Adjusted production = Initial production + Extra soap - Reduced soap
Adjusted production = (23/8) + (1/5) - (19/24)

To simplify the fraction, we can find a common denominator for the fractions:
Common denominator = 8 * 5 * 24 = 240

Now, convert each fraction to have the common denominator:
Adjusted production = (23 * 24) / 80 + (24 * 1) / 240 + (-19 * 5) / 240
Adjusted production = (552 + 24 - 95) / 240
Adjusted production = 463 / 240

### Answer: 463/240 istrzostво 1.846 tonnes (rounded to two decimal places)

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'.

Mistral 7B:

 Reasoning: The machine starts with 24/8 gallons of red paint. After pouring away 12/8 gallons, the amount of red paint left is (24/8 - 12/8) = 12/8 gallons.

Then, 1/28 gallon of blue pigment is added, so the total amount of paint is x = (12/8) - (1/28).

To simplify the fraction, we can find a common denominator for 8 and 28, which is 56. So, the equivalent fractions are (12/8) = (12*7/56) and (1/28) = (1*2*2/56).

Now, we can subtract the blue pigment from the red paint:

x = (12*7/56) - (1*2*2/56)

Multiplying the numerators and denominators by appropriate factors to make the denominators the same:

x = (84 - 4)/56

Simplifying the numerator:

x = (80)/56

### Answer: x = 80/56.

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.

Mistral 7B:

 Reasoning: To multiply fractions, we multiply the numerators and denominators separately.
(27/14) * (17/13) = (27*17) / (14*13) = 459 / 182
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
The GCD of 459 and 182 is 63.
459 / 63 = 7 and 182 / 63 = 3
So, the simplified fraction is 7/3.
### Answer: 7/3 utsch!ans: 7/3

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.

Mistral 7B:

 Reasoning:
Sonia uses 21/12 oz of toothpaste daily.
Anthony uses 6/27 oz of toothpaste daily.
Their total daily toothpaste usage is (21/12 + 6/27) oz.
To simplify the fraction, we find the least common multiple (LCM) of the denominators 12 and 27, which is 54. Then, we convert both fractions to have the same denominator:
Sonia's fraction becomes (21*3/54 + 6/27) oz.
Anthony's fraction remains 6/27 oz.
Now, we add the fractions: (21*3/54 + 6/27) + 6/27 = (63/54 + 6/27) oz.
To simplify the fraction, we find the least common multiple (LCM) of the new denominators 54 and 27, which is 81. Then, we convert both fractions to have the same denominator:
(63/54) * (81/81) + (6/27) * (27/27) = (63*81/4320 + 6*27/729) oz.
Now, we simplify the fractions:
63*81/4320 = 5043/4320
6*27/729 = 108/729
Now, we add the simplified fractions:
(5043/4320 + 108/729) oz.
To simplify the fraction, we find the least common multiple (LCM) of the denominators 4320 and 729, which is 25920. Then, we convert both fractions to have the same denominator:
(5043/4320) * (25920/25920) + (108/729) * (25920/25920) = (5043*25920/107584000 + 108*25920/107584000) oz.
Now, we simplify the fractions:
5043*25920/107584000 = 1286401/107584000
108*25920/107584000 = 277728/107584000
Now, we add the simplified fractions:
(1286401/107584000 + 277728/107584000) oz.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerators 1286401 and 277728, which is 1. Then, we divide both numerators by their GCD:
(1286401/1 + 277728/1) / (107584000/1) oz.
Now, we simplify the fraction:
(1286401 + 277728) / 107584000 oz.
Now, we add the numerators:
1286401 + 277728 = 1564129 oz.
### Answer: 1564129/107584000 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.

Mistral 7B:

 Reasoning: After making the first sandwich, you had ((7/18) + (21/14)) of the original ingredients left.

After making the simpler sandwich, you used 2/4 of the remaining cheese, which leaves you with (2/4) * ((7/18) + (21/14)) of the original ingredients.

To find the fraction of the original ingredients left after making the simpler sandwich, subtract (2/4) from the fraction you had after making the first sandwich:

((7/18) + (21/14)) - (2/4) = (7*4 + 21*3 - 2*3) / (18*4*4) = 28/96
### Answer: 28/96

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?

Mistral 7B:

  Reasoning: To find the total height of the windows, we add the heights of the two windows.
The total height of the windows is 15/6 + 7/16 = (15*8 + 7*16)/(6*16) = 120/96 + 112/96 = 232/96 = 2.4375 meters.
### Answer: 2.4375 meters (rounded to four decimal places)

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?

Mistral 7B:

 Reasoning: First, we need to find the common denominator for the fractions of apple juice and orange juice. The least common multiple of 6 and 12 is 12. So, we can rewrite the fractions as:

Apple juice: (16/6) * (2/2) = 32/12 liters
Orange juice: (20/12) * (1/1) = 20/12 liters

Now, we can add the amounts of apple juice, orange juice, and cranberry juice:

Total juice = Apple juice + Orange juice + Cranberry juice
Total juice = (32/12 + 20/12 + 2/3) liters

To add the fractions, we need a common denominator, which is 12. So, we can rewrite the cranberry juice fraction as:

Cranberry juice = (2/3) * (4/4) = 8/12

Now, we can add the fractions:

Total juice = (32/12 + 20/12 + 8/12) liters
Total juice = (60/12) liters

Simplifying the fraction:

Total juice = 5 liters
### Answer: 5 liters

Expected answer: 5

Correct? Yes

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.

Mistral 7B:

  Reasoning: For each level, you earn 4/3 points.
If you have played 13/10 of these levels, then you have earned (13/10)*(4/3) points.
Simplifying the fraction, we get (13/10)*(4/3) = (13*4)/(10*3) = (52)/30.
### Answer: 52/30 (simplified fraction)

Expected answer: 26/15

Correct? Yes

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?

Mistral 7B:

 Reasoning: The astronaut spends 18/8 + 26/2 + 30/8 = <<(18/8)+(26/2)+(30/8)=15+13+5=33>>33 hours on his whole daily routine now.
### Answer: 33 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.

Mistral 7B:

 Reasoning: The total weight of cheese requested by Jeremy was 30/9 ounces. The difference between the requested weight and the actual weight received is 17/22 ounces.
To find the actual weight of cheese received, we can use the equation 'd = n - (17 / 22)', where 'd' is the difference, 'n' is the total weight of cheese requested.
Substituting the given values, we get:
d = (30/9) - (17/22)

To solve this equation, we first find a common denominator for the fractions, which is 18.
Multiplying both fractions by appropriate factors to get the common denominator:
(30/9) * (2/2) = (60/18)
(17/22) * (9/9) = (153/18)

Now, we can subtract the two fractions:
d = (60/18) - (153/18)
d = (60 - 153) / 18
d = -93 / 18

To find the actual weight of cheese received, we subtract the difference from the total weight requested:
Actual weight = Total weight requested - Difference
Actual weight = (30/9) - (-93/18)
Actual weight = (30/9) + (93/18)
Actual weight = (270 + 93) / 18
Actual weight = 363 / 18

To convert the fraction to a decimal, we divide the numerator by the denominator:
Actual weight = 363 / 18 = 20.166666666666668

### Answer: 20.17 ounces (rounded to two decimal places)

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.

Mistral 7B:

  Reasoning:
1. In the first test, 13 out of 4 sunglasses blocked all UV rays, so the fraction is 13/4.
2. In the second test, 20 out of 18 sunglasses blocked all UV rays, so the fraction is 20/18.
3. Adding the numbers from the first and second tests, we get (13/4) + (20/18). To add these fractions, we need a common denominator, which is 36. So, the equivalent fractions are (9/36) and (10/36). Adding these fractions, we get (9+10)/36 = 19/36.
4. Next, Sophia added the additional 21 out of 17 sunglasses from another batch that also blocked all UV rays. The fraction is 21/17.
5. To add this fraction to the previous result, we need a common denominator, which is 513 (LCM of 36 and 17). The equivalent fraction for 19/36 is (19*17)/513 = 323/513, and the equivalent fraction for 21/17 is (21*31)/513 = 651/513. Adding these fractions, we get (323+651)/513 = 974/513.
6. Later, Sophia realized she made a mistake and needed to subtract the 16 out of 30 sunglasses that did not block all UV rays. The fraction is 16/30.
7. To subtract this fraction from the previous result, we need a common denominator, which is 1530 (LCM of 513 and 30). The equivalent fraction for 974/513 is (974*30)/1530 = 2922/1530, and the equivalent fraction for 16/30 is (16*513)/1530 = 818/1530. Subtracting these fractions, we get (2922-818)/1530 = 2104/1530.

### Answer: 2104/1530

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?

Mistral 7B:

 Reasoning:
1. To make one sandwich, Shawn uses 23/28 + 6/9 + 18/12 = (23*9 + 6*12 + 18*28)/(28*9) = (207 + 72 + 504)/2240 = 801/2240 = 801/801 * 1/4 = 1/4 cup of mayonnaise, 6/9 * 4/4 = 8/9 * 4/4 = 8/9 cups of sandwich spread, and 18/12 * 4/4 = 72/12 * 4/4 = 288/12 = 24 cups of cheese spread.
2. To make one sandwich, Shawn now needs 1/4 + 8/9 + 24 = 1 + 8/9 + 24 = 25 3/9 cups of ingredients.
3. To make 4 sandwiches, Shawn needs 4 * (1/4 + 8/9 + 24) = 4 * 25 3/9 = 100 12/9 cups of ingredients.
### Answer:
1. To make one sandwich, Shawn needs 1/4 cup of mayonnaise, 8/9 cups of sandwich spread, and 24 cups of cheese spread.
2. To make one sandwich, Shawn now needs 25 3/9 cups of ingredients.
3. To make 4 sandwiches, Shawn needs 100 12/9 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?

Mistral 7B:

 Reasoning: Initially, Cassandra had 7/6 of a key set, which is equivalent to (7/6)*6 = <<(7/6)*6=7>>7 key sets.
After losing 1/21 of a key set, she lost 7/21 of a key set. So, she now has 7 - (7/21) = <<7-(7/21)=6.952381>>6.952381 key sets.
Since we cannot have a fraction of a key set, we round down to the nearest whole number.
### Answer: 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.

Mistral 7B:

 Reasoning: To find the sum of the ratios of the two sections, we add the two ratios: (29/23) + (19/17). To find the common denominator, we find the least common multiple (LCM) of 23 and 17, which is 138. So, the sum of the ratios becomes: (29*7/138) + (19*8/138).

Now, we find the ratio of a rest, which is equivalent to one whole measure (26/26).

To find the difference between the sum of the ratios and the ratio of a rest, we subtract the ratio of a rest from the sum of the ratios: (29*7/138) + (19*8/138) - (26/26).

Simplifying the fractions:
(203/138) - (26/26) = (203 - 26*138)/138 = (177/138)

### Answer: The difference is (177/138).

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.

Mistral 7B:

  Reasoning: To multiply two fractions, we multiply the numerators and denominators separately.
(22/25) * (22/8) = (22*22) / (25*8) = 484 / 200
### Answer: 484/200

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.

Mistral 7B:

 Reasoning: First, we need to find the total length of the pillow after fluffing and accounting for overlap and corners.

Total length = (23/9 + 22/25) * (16/13) = (116/45 + 88/105) * (16/13)

To simplify the fraction, we can find a common denominator for the numerators, which is 990.

(116/45 * 22/22) + (88/105 * 18/18) = (244/45 + 1632/1050) * (16/13)

Now, we can simplify the fractions:

(244/45 * 22/22) + (1632/1050 * 16/16) = (244/45 + 1632/1050) * (16/13) * (22/22)

(244/45 + 1632/1050) * (16/13) * (22/22) = (244/45 + 1632/1050) * (352/130)

Now, we can add the fractions:

(244/45 + 1632/1050) * (352/130) = (244*352 + 1632*352) / (45*130)

(244*352 + 1632*352) / (45*130) = 85888/5700

Since the border material is measured in feet, we need to convert the total length to feet.

Total length = 85888/5700 feet

To find the length of border material needed, we can multiply the total length by the width of the border. Let's assume the border width is 1 foot.

Border material needed = Total length * Border width = 85888/5700 * 1 feet = 15177/114 feet

Since we want the answer in feet, we can convert the mixed fraction to an improper fraction:

15177/114 = 133 1/114

### Answer: James will need 133 1/114 feet of border material for his 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.

Mistral 7B:

 Reasoning: The car was supposed to travel an additional 16/13 - 1/21 = <<(16/13 - 1/21) = (8/26)>>8/26 miles.
Since the car travels 21/4 miles every hour, it would take the car (8/26) * (21/4) = <<(8/26)*(21/4)=(84/52)>>(84/52) hours to travel the additional distance.
### Answer: The car was supposed to travel an additional (84/52) hours.

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?

Mistral 7B:

 Reasoning: First, let's find the total time required for the editing and typesetting processes without any delays.

Editing time: 20/5 hours = <<20/5=4>>4 hours
Typesetting time: 18/17 hours = <<18/17=1.059>>1.059 hours

Total time required without delays: 4 + 1.059 = <<4+1.059=5.059>>5.059 hours

Now, let's find the total time lost due to the break delay: 6/15 hours = <<6/15=0.4>>0.4 hours

The manager extended the working hours by the same amount of time as the initial time span of the process, which is 5.059 hours. However, since there was a loss of 0.4 hours, the actual extended time is:

Extended time = 5.059 + 0.4 - 0.4 = <<5.059+0.4-0.4=5.059>>5.059 hours
### Answer: 5.059

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?

Mistral 7B:

 Reasoning: Jenny plants 13/11 rows of potatoes, and each row yields approximately 21/3 bushels. So, the total number of bushels she gets is (13/11)*(21/3) = <<(13/11)*(21/3)=(243/33)>>243/33 bushels.
At the farmer's market, each bushel earns her 21/15 dollars. So, the total amount of money she makes is (243/33)*(21/15) = <<(243/33)*(21/15)=(429/55)>>429/55 dollars.
### Answer: 429/55 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?

Mistral 7B:

 Reasoning: First, we find the amount of gold used by the jeweler:
14/28 of a kilogram = (14/28) * 1 = (7/14) kilograms

Next, we find the amount of silver used by the jeweler:
13/26 of a kilogram = (13/26) * 1 = (13/26) kilograms

Now, we add the amount of gold and silver used by the jeweler:
(7/14) + (13/26) = (7*26 + 13*14)/(14*26) = (182 + 182)/364 = 364/364 = 1 kilogram
### Answer: 1 kilogram

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?

Mistral 7B:

 Reasoning:
1. First, let's find the amount of honey in a single sub-section (either honey storage or bee rearing). We know that each sub-section has (25/9) gallons of honey.
2. Since the beekeeper combined honey from one honey storage sub-section and one bee rearing sub-section, the total amount of honey in a combined sub-section is (25/9) + (25/9) = <<(25/9)+(25/9)=(50/9)>>(50/9) gallons.
3. Now, let's find the amount of honey in the honey storage sub-section with an additional (2/26) gallons. This sub-section has (25/9 + 2/26) gallons of honey.
4. To find the total amount of honey ('s') from this sub-section plus a bee rearing sub-section, we add the amount of honey from both sub-sections: (25/9 + 2/26) + (50/9) = (137/54) + (50/9) = (137+50*9)/(54*9) = (187/4) gallons.
### Answer: 187/4  или 46.75 gallons (rounded to two decimal places)

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.

Mistral 7B:

 Reasoning: The dinosaur eats 16/8 + 6/17 = <<(16/8+6/17)=(8+3/17)>>8 + 3/17 = <<8+(3/17)=(8*17+3)=295/17>>295/17 bunches of leaves per hour during the day and night.
### Answer: 295/17 utscher/hour

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?

Mistral 7B:

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

First, we need to find a common denominator for the fractions: 6, 18, and 22. The least common multiple of 6, 18, and 22 is 138.

Now, we convert each fraction to have the common denominator 138:

28/6 * (138/138) + 21/18 * (76/76) + 24/22 * (63/63)

This simplifies to:

28*23 + 21*7 + 24*3

Now, we can add the numerators:

28*23 + 21*7 + 24*3 = 644/1

Since the denominator is 1, we can drop it.

### Answer: 644

However, since we want the answer as a fraction, we can write it as:

### Answer: 644/1 (as a fraction, the denominator is usually written as 1)

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?

Mistral 7B:

 Reasoning: First, let's find the total amount of sugar needed without the increase:
11/17 + 6/2 = (11*2 + 6*7)/(17*2) = 22/34 + 42/34 = 64/34 cups.

Now, let's find the increased amount of sugar:
(64/34)*(29/21) = (64*29)/(34*21) = 176/68 cups.

Finally, let's add the original amount and the increased amount:
64/34 + 176/68 = (64*68 + 176*34)/(34*68) = 4320/2468 cups.

To simplify the fraction, we can find the greatest common divisor of 4320 and 2468, which is 1224.

So, the total amount of sugar used by Heather is 4320/1224 = <<4320/1224=3.5625>>3.5625 cups.
### Answer: 3.5625 cups

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?

Mistral 7B:

  Reasoning: First, we need to find a common denominator for the fractions 7/8 and 21/18. The least common multiple of 8 and 18 is 72. So, we can rewrite the fractions as (9/72) and (105/72), respectively.
Next, we add the fractions: (9/72) + (105/72) = (114/72).
Now, we simplify the fraction by finding the greatest common divisor of the numerator and the denominator: The greatest common divisor of 114 and 72 is 28.
So, the simplified fraction is (114/72) / (28/28) = (114/72) * (28/28) = (114 * 28) / (72 * 28) = 3132/1944.
### Answer: 3132/1944

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.

Mistral 7B:

 Reasoning:
1. The total amount of water consumed by the guests is 15/7 * number of guests (i).
2. The total amount of wine consumed by the guests is 15/24 * number of guests (i).
3. The total amount of milk needed for the cakes is 26/20 * number of cakes (b).
4. Since each guest will eat one cake, the number of cakes is equal to the number of guests (b = i).
5. The total amount of liquid consumed by the guests is v = 15/7i + 15/24i.
6. The total amount of liquid needed for the cakes is v' = 26/20i.
7. The total amount of liquid needed for the feast is x = v + v' = (15/7i + 15/24i) + (26/20i).
### Answer: x = (15/7 + 15/24 + 26/20)i.

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?

Mistral 7B:

 Reasoning: First, we add 18/15 to 30/17:
(30/17 + 18/15) = (450/270 + 120/270) = (570/270)

Next, we multiply the result by 24/13:
(570/270) * (24/13) = (570*24)/(270*13) = (13600)/3240 = 4.1875

Teddy's final number is 4.1875.
### Answer: 4.1875

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).

Mistral 7B:

 Reasoning: To find the fraction of the desired diameter that each hole has, we can multiply the diameters of the drill bit and the desired hole: (20/6) * (11/21).
### Answer: (20/6) * (11 / 21) = <<(20/6)*(11/21)>>(220/126)

Expected answer: 110/63

Correct? Yes

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.

Mistral 7B:

 Reasoning: The difference in time taken to assemble the two models is (17/10 - 12/23). To find a common denominator, we can multiply the denominators together: 10*23 = 230.

Now, we can rewrite the fractions with the common denominator:
(17*23/230) - (12*10/230) = (371/230) - (120/230)

To subtract the fractions, we subtract the numerators and keep the denominator the same:
(371 - 120)/230 = 251/230

Since the difference is a proper fraction, it cannot be simplified further.
### Answer: The second model will take 251/230 less time than the first one.

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.

Mistral 7B:

 Reasoning: The amount of wood used in a regular chair is 20 units.
The special chair uses (24/5) * (7/6) more wood than a regular chair.
To find the additional amount of wood, we can multiply the difference in the numerators by the difference in the denominators: (24-20) * (5-6) = -4 * -1 = 4 units.
Since the special chair uses 20 units of wood plus the additional 4 units, the total amount of wood needed for one special chair is 20 + 4 = <<20+4=24>>24 units.
### Answer: 24

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?

Mistral 7B:

 Reasoning: The car initially was going at 13/4 miles per minute.
When the car slowed down, it reduced its speed by 14/15 miles per minute, so the new speed was 13/4 - (14/15) = (13*15 - 14*4)/60 = 67/30 miles per minute.
When the car increased its speed again, it increased by 30/15 miles per minute, so the final speed was 67/30 + 30/15 = (67+30)*5/30 = 97/3 miles per minute.
### Answer: 97/3 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?

Mistral 7B:

  Reasoning:
1. The vineyard usually produces 19/2 baskets of grapes every season. This season, only 19/29 of the usual amount were produced, so the number of baskets produced this season is (19/2)*(19/29) = <<(19/2)*(19/29)=13.621212121212122>>13.62 baskets (rounded to two decimal places).
2. Jake gets to keep only 7/11 of the total amount of grapes. So, the number of baskets of grapes he gets is 13.62*7/11 = <<13.62*7/11=6.363636363636364>>6.36 baskets (rounded to six decimal places).
3. Out of the grapes that he got, Jake wants to make some grape juice. He only uses 9/10 of his grapes to make the juice. So, the number of baskets of grapes he uses for the juice is 6.36*9/10 = <<6.36*9/10=5.727272727272727>>5.73 baskets (rounded to six decimal places).
### Answer:
1. 13.62 baskets
2. 6.36 baskets
3. 5.73 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.

Mistral 7B:

 Reasoning: Convert the fractions to decimals: 9/2 = 4.5 and 10/22 = 0.4545 (rounded to four decimal places).
To find the total number of bushels of grapes Joel picked, add the number of bushels of red grapes and the number of bushels of green grapes: 4.5 + 0.4545 = <<4.5+0.4545=4.9545>>4.9545 bushels.
### Answer: 4.9545 (rounded to four decimal places)

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?

Mistral 7B:

 Reasoning: The radius of the larger snowball is 8.5 feet (diameter/2), and the radius of the smaller snowball is 1/40 feet (diameter/2).
The volume of the larger snowball is (4/3)πr³ = (4/3)π(8.5)³, and the volume of the smaller snowball is (4/3)π(1/40)³.
The total volume of the snowman is the sum of the volumes of the two snowballs.
The total height of the snowman is the total volume divided by the volume of a unit cube (1 cubic foot).
### Answer: 11.5 feet (rounded to the nearest tenth)

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.

Mistral 7B:

 Reasoning: First, let's find out how many parts of the sand the second child took away: 2/16 = 1/8.
Since the first child divided the sand into 24/7 parts, the total number of parts is 24/7 * 7 = 24.
The second child took away 1/8 of the sand, so the remaining parts are 24 - (1/8) * 24 = 24 - 3 = <<24-3=21>>21 parts.
### Answer: 21

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.

Mistral 7B:

 Reasoning: The lion ate 28/26 of a zebra, which is the same as 14/13 of a whole zebra.
The lion ate 23/9 of a wildebeest, which is the same as 23/9 * (1/10) of a whole wildebeest, since 1 wildebeest is 10 parts.
So, the lion ate 14/13 - (23/9 * 1/10) of a whole zebra compared with the wildebeest.
Simplifying the fraction: 14/13 - (23/9 * 1/10) = (14 * 9 - 23 * 1) / (13 * 10) = 126/130.
### Answer: 126/130 (simplified fraction)

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)).

Mistral 7B:

  Reasoning: To find the amount of chocolate produced, we need to multiply the amount of cocoa and milk per kilogram of chocolate.

((14 / 4) * (21 / 11)) = (7 / 2) * (21 / 11) = (7 * 21) / (2 * 11) = 147 / 22 = <<147/22=6.681818181818182>>6.681818181818182 (approximately)

Since the question asks for the amount in kilograms, we can convert the decimal value to a fraction by multiplying it by 1000.

6.681818181818182 * 1000 = 6681.818181818182 (approximately)

However, since the question asks for the whole number of kilograms, we can round the answer to the nearest whole number.

### Answer: 6682 (approximately)

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.

Mistral 7B:

  Reasoning: To find the expected number of bananas produced by both species on a single day, we need to find the average number of bananas produced by each species per day.

For the first species, the average number of bananas produced per day is 12/29.
For the second species, the average number of bananas produced per day is 30/10 = 3.

The expected number of bananas produced by both species together on a single day is the sum of the average number of bananas produced by each species per day:

(12/29) + (30/10) = (12/29) + 3 = (12+290)/29 = 312/29

### Answer: 312/29 ≈ 10.76 (rounded to two decimal places)

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.

Mistral 7B:

  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, let's convert the fractions to have a common denominator (14).
Acacia leaves: (11/11)*(14/14) = 14/11
Grasses: (26/14)*(14/7) = 26/7

Now, add the amounts: 14/11 + 26/7
To add the fractions, we need a common denominator. Let's use 77 as the least common multiple of 11 and 7.

Multiply the acacia leaves by 7/7 and the grasses by 11/11:
(14/11)*(7/7) + (26/7)*(11/11) = 98/77 + 266/77

Now, add the numerators: 98 + 266 = 364

Finally, add the denominators: 77 + 77 = 154

So, the total amount of food the giraffe needs to eat in a day is 364/154 ≈ 2.37 tons.
### Answer: 2.37 tons (approximately)

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.

Mistral 7B:

 Reasoning: The bear spends 18/24th of each day asleep, and for 27 days, the bear spends 18/24 * 27 = <<18/24*27=9>>9 hours sleeping.
Since there are 24 hours in a day, the fraction of time the bear has spent sleeping over the 27 days is 9/24 = <<9/24=0.375>>0.375.
### Answer: 0.375

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.

Mistral 7B:

  Reasoning: First, we need to find the common denominator for the fractions (14 and 2). The least common multiple of 14 and 2 is 14. So, we convert the fraction (19/2) to (19*7)/14.
Now, we add the fractions: (9/14) + (19*7)/14 = (9+133)/14.
### Answer: 142/14 ≈ 10.143 (rounded to three decimal places)

Expected answer: 71/7

Correct? Yes

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.

Mistral 7B:

 Reasoning: First, we need to find the initial energy level of the Zogorian.

(14 / 2) / (23 / 17) = (14 * 17) / (2 * 23) = 119 / 46 = <<119/46=2.5870370370370373>>2.5870370370370373 zogs

After harnessing energy from their primary star, his energy level increases by (16 / 24) zogs.

2.5870370370370373 + (16 / 24) = 2.5870370370370373 + 0.6666666666666667 = <<2.5870370370370373+0.6666666666666667=3.2536666666666665>>3.2536666666666665 zogs
### Answer: 3.2536666666666665

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?

Mistral 7B:

  Reasoning: The difference between the number of friends Teddy hides in the forest and at the beach is 'f' = (18/11) - (8/21) = (18*21 - 8*11) / (11*21) = 162/231.
Squaring 'f' gives us 'n' = (162/231)^2 = 27772/53281.
### Answer: 27772/53281 holds the total number of hiding spots Teddy needs.

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.

Mistral 7B:

 Reasoning: The robot starts with 25/10 units of energy. After completing the complex computations, it uses 27/23 units of energy, leaving it with 25/10 - 27/23 = <<(25/10 - 27/23)*(2*3*5*7)=10/10=1>>1 unit of energy.
### Answer: 1

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.

Mistral 7B:

 Reasoning: The first snail covers 17/21 of a meter in an hour, and the second snail covers 20/24 of a meter in the same time. So, their combined distance in an hour is:

(17/21 + 20/24) = (402/444 + 300/444) = (702/444) meters

The third snail covers 18/17 of a meter per hour, so in an hour, it covers 18/17 * 1 = 18/17 meters.

The total distance covered by all three snails in an hour is the sum of their individual distances:

(702/444 + 18/17) meters

To simplify the fraction, we can find the least common multiple of the denominators 444 and 17, which is 741. Then, we can convert both fractions to have the same denominator:

(702/444) * (741/741) + (18/17) * (444/444) = (53642/33992) + (3064/33992)

Now, we can add the fractions:

(53642 + 3064)/33992 = 56706/33992 meters

To simplify the fraction, we can find the greatest common divisor of the numerator and denominator, which is 2. Then, we can divide both by 2:

(56706/33992) / 2 = 28353/16996 meters

### Answer: 28353/16996 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?

Mistral 7B:

 Reasoning: First, let's find the amount of fabric Johnny used in the first fabric type:
Original fabric = 24/14 yards
Remaining fabric = 9/29 of a yard
Difference in fabric = (24/14 - 9/29) yards

Now, let's find the amount of new fabric Johnny used:
New fabric used = 15/2 * (Difference in fabric)

New fabric used = (15/2) * ((24/14 - 9/29))

To simplify the expression, we can first find a common denominator for the fractions:
LCD = 14 * 29 = 406

Now, convert the fractions to have the same denominator:
(24 * 29 / 14 * 29) - (9 * 14 / 29 * 14) = 708/406 - 126/406

Subtract the fractions:
(708 - 126) / 406 = 582 / 406

Now, multiply by 15/2:
(15/2) * (582 / 406) = (15 * 582) / (2 * 406) = 8730 / 812

### Answer: 8730/812 yards of the new fabric were used by Johnny.

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.

Mistral 7B:

  Reasoning: To find the common denominator, we can use the least common multiple (LCM) of 10 and 4, which is 40.

Now, let's convert both fractions to have the same denominator:

2/10 becomes (2*4)/(10*4) = 8/40
21/4 becomes (21*10)/(4*10) = 105/40

Now, add the fractions:

(8/40) + (105/40) = (8+105)/40 = 113/40

Since the question asks for the total number of kids, we need to find the equivalent mixed number. To do this, we divide the numerator by the denominator and find the quotient and remainder:

113 ÷ 40 = 2 quotient, with a remainder of 13

So, the total number of kids waiting for the swing is 2 whole numbers and 13 parts.

To convert the parts to whole numbers, we divide the remainder by the number of parts in one whole number (40):

13 ÷ 40 = 0 remainder, with a quotient of 0

Since there is no quotient, we add another whole number to the total:

Total kids = 2 + 0 = 2

Now, we multiply the whole number by the number of parts in one whole number (40) to find the number of parts:

2 * 40 = 80

Finally, we add the number of whole numbers (2) to the number of parts (80) to get the total number of kids:

Total kids = 2 + 80 = 82

### Answer: 82 kids are waiting for the swing.

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.

Mistral 7B:

  Reasoning: The fraction (18/30) represents the proportion of filled fuel tanks, and the fraction (22/6) represents the hours of power provided by one filled fuel tank. To find out the total hours of power, we multiply these two fractions.
(18/30) * (22/6) = (18*22)/(30*6) = (396)/(180) = 2.14 hours.
### Answer: 2.14 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?

Mistral 7B:

 Reasoning: In the morning, the cat eats 16/12 of a can, which is equivalent to 4/3 of a can (since 12/12 + 16/12 = 3/1 + 4/3 = 7/3 = 4/3).
In the evening, the cat eats 6/10 of a can, which is equivalent to 3/5 of a can (since 10/10 + 6/10 = 1 + 3/5 = 5/5 + 3/5 = 8/5 = 3/5).
The total amount of cat food the cat eats in one day is 4/3 + 3/5 = <<(4/3+3/5)=(16/15+9/15)=25/15=1.67>>1.67 cans.
### Answer: 1.67 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?

Mistral 7B:

 Reasoning: The total number of eggs laid in the first group of nests is 12*3 = <<12*3=36>>36, and the total number of eggs laid in the second group of nests is 11*4 = <<11*4=44>>44.
The total number of nests is 3+4 = <<3+4=7>>7.
The average number of eggs per nest for the first group is 36/3 = <<36/3=12>>12, and for the second group is 44/4 = <<44/4=11>>11.
The difference between the average number of eggs per nest for the two groups is |12-11| = <<|12-11|=1>>1.
### Answer: 1

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?

Mistral 7B:

 Reasoning: First, let's find out how much of the pile the monkey ate: (22/7) * (10/25) = (220/35) = 6 2/7.
Then, let's find out how much the monkey gave to his friend: (3/28) of the pile = (3/28) * (6 2/7) = (18/147) * (6 2/7) = (108/969) + (12/969) = 110/969.
Now, let's find out how much of the pile the monkey has left: (6 2/7) - (110/969) = (454/969) - (110/969) = (344/969).
### Answer: The monkey has 344/969 of the pile 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?

Mistral 7B:

 Reasoning: First, we need to find the total time the mouse runs in seconds.
(23/2) \* 2 = 23 seconds

Now, we can find the distance the mouse runs by multiplying its speed by the time it runs:
(24/20) \* 23 = (4/5) \* 23 = <<(4/5)*23=15.2>>15.2 feet
### Answer: 15.2 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?

Mistral 7B:

  Reasoning: First, let's find out how many glasses were consumed: 26/25 * 29/9 = <<(26/25)*(29/9)=14/3>>14/3 glasses were consumed.
Since each glass contains 29/9 ounces, the total amount of beverage consumed is 14/3 * 29/9 = <<(14/3)*(29/9)=14>>14 ounces.
Now, an additional 2/19 ounces were consumed, so the total amount of beverage consumed at the party is 14 + 2/19 = <<14+(2/19)=14.105263157894736>>14.11 ounces.
### Answer: 14.11 ounces (total consumption)

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?

Mistral 7B:

 Reasoning: First, let's find out how many sets of toothbrushes you have after adding the initial 7/15 of a set and your friend's 9 sets.

To find the number of sets from the initial addition, multiply 7/15 by the total number of sets in a set: (7/15) * (1 set) = 7/15 sets.

Now, add the sets from your friend: 9 sets + (7/15 sets) = (9 + 7/15) sets.

Next, we need to find out how many sets can fit in your display case. Since you can only fit 26/27 of them, multiply the total number of sets by 27/26: (26/27) * (9 + 7/15) sets = (26/27) * (9 + 7/15) * (27/26) sets.

Simplify the expression: (26/27) * (9 + 7/15) * (27/26) = (26/27) * (9*26/26 + 7/15*27/26) sets = (26/27) * (9 + 7/15) sets = (26/27) * (9 + 7/15) * (27/27) sets = (26/27) * (9 + 7/15) sets = (26/27) * (16/15) sets = 16 sets.

### Answer: 16 sets can fit 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.

Mistral 7B:

 The total weight of the backpack with the book added is (27/20 + 1/6) kilograms. To simplify this fraction, we can find a common denominator for the two fractions, which is 60.

So, (27/20 * (60/60)) + (1/6 * (60/6)) = (162/60) + (60/60) = (162+60)/60 = <<(162+60)/60=222/60>>222/60 kilograms.
### Answer: 222/60

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?

Mistral 7B:

 The multiplier of the new bottle compared to the old one is (7/7)*(25/22) = <<(7/7)*(25/22)=(25/22)>>25/22.
### Answer: 25/22

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.

Mistral 7B:

 Reasoning: First, let's find the total amount of food Tilly gathered from the sea plants and the first find in the rock:
(25/9 + 8/13 + 24/27) kg
To simplify the fraction, we find the least common multiple (LCM) of the denominators 9, 13, and 27. The LCM of 9, 13, and 27 is 54.
Now, we convert each fraction to have the same denominator:
(25*6/9*6 + 8*4/13*4 + 24*2/27*2) kg
(150/54 + 32/54 + 48/54) kg
Now, we add the fractions:
(150+32+48)/54 = 220/54
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator:
GCD(220, 54) = 6
Now, we divide both the numerator and denominator by the GCD:
(220/6)/(54/6) = 36 2/9
### Answer: 36 2/9

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.

Mistral 7B:

 Reasoning:
1. First, Captain Alf calculates the distance between his boat and the island: 17/2 - 4/2 = (17-4) / 2 = 13 / 2 nautical miles.
2. Next, he adjusts for the tide: 13/2 + 14/9 = (13*9 + 14*2) / (2*9) = 117/18 nautical miles.
3. Finally, he calculates his fuel requirements: 117/18 * 22/15 = (117*22) / (18*15) = 2334/270 nautical miles.
### Answer: 2334/270 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?

Mistral 7B:

 Reasoning: Let's first find out how many miles the forest ranger patrolled in the morning: 14/3 miles.
Since he patrolled 2/18 mile less in the afternoon, we can write the equation:
14/3 - 2/18 = x (where x is the number of miles he patrolled in the afternoon).
To solve for x, we first need to find a common denominator for the fractions:
14 * 2 = 28 and 3 * 6 = 18
So, the equation becomes:
(28/18) - (2/18) = x
Simplifying the equation:
26/18 = x
To find x, we can convert the fraction to a decimal:
26/18 = 1.4444444444444446 (rounded to 10 decimal places)
However, since we are looking for the number of miles, we can round this decimal to the nearest whole number:
x = 1 (rounded down)
### Answer: 1 mile.

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?

Mistral 7B:

 Reasoning: On weekdays, Arthur practices for 20/21 of an hour, which is equivalent to 20/21 \* 60 minutes = <<20/21*60=54.71428571428571>>54.71 minutes.
On weekends, Arthur practices an additional 11/29 of an hour per day, which is equivalent to 11/29 \* 60 minutes = <<11/29*60=20.69 minutes>>20.69 minutes.
### Answer: 20.69 minutes

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.

Mistral 7B:

  Reasoning: Initially, each sibling had 18/3 = <<18/3=6>>6 shirts.
After buying more shirts, Lucas kept 27 * (1/19) = <<27*(1/19)=1.4210526315789473>>1.42 shirts for each sibling.
So, each sibling now has (6 - 1.42) = <<6-1.42=4.58>>4.58 shirts.
The difference in the number of shirts is (6 - 4.58) = <<6-4.58=1.42>>1.42 shirts more for each sibling.
### Answer: Each sibling has 1.42 more 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?

Mistral 7B:

 Reasoning: First, let's find out how many gallons of light blue paint the painter made.
7 gallons of white paint + (2/5) gallons of blue paint = (7 + (2/5)) gallons of light blue paint.

To find the amount of light blue paint used for the project, we multiply the amount of light blue paint by the amount used:
(18/4) gallons of light blue paint used = (18/4) * (7 + (2/5)) gallons of light blue paint.

Now, we subtract the amount of light blue paint used from the total amount of light blue paint to find the amount left:
(7 + (2/5)) gallons of light blue paint - (18/4) * (7 + (2/5)) gallons of light blue paint used.

Let's calculate the values:
(7 + (2/5)) = (35/5) gallons of light blue paint
(18/4) * (7 + (2/5)) = (9/2) * (35/5) = (315/10) gallons of light blue paint used
(35/5) - (315/10) = (350 - 315) / 10 = 35/10 gallons of light blue paint left.

### Answer: 35/10 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?

Mistral 7B:

 Reasoning: On the first day, Jayson spent 24/7 = <<24/7=3.4285714285714285>>3.43 hours skating.
On the second day, Jayson spent 30/20 = <<30/20=1.5>>1.5 hours skating.
In total, 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?

Mistral 7B:

 Reasoning: The dolphin jumped 18/3 * 3/4 = <<18/3*3/4=6>>6 feet out of the water.
### Answer: 6

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.

Mistral 7B:

 Reasoning: First, we find the ratio of last month's sales to production: (20/15 + 16/22) = (40 + 13)/30 = 53/30.

Next, we find the ratio of interested customers to production this week: (22/27 * 23/8) = (22*23)/(27*8) = 486/216.

Finally, we multiply the two ratios: (53/30) * (486/216) = 2419/1224.
### Answer: 2419/1224

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?

Mistral 7B:

 Reasoning: The musician spent 30 minutes on 15 songs, so they spent 30/15 = <<30/15=2>>2 minutes on each song initially.
After reducing the time spent on a particular song by 1/17 of an hour, the new duration of that song is 2 - (1/17) * 2 = 2 - (2/17) = (15/17) minutes.
### Answer: (15/17) minutes.

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.

Mistral 7B:

 Reasoning: Josh rode the scooter for 18 hours on the first day and an additional 1/12 hour on the second day, which is 18 + (1/12) = <<18+(1/12)=(144+1)/12=145/12>>145/12 hours in total.

Jack rode the scooter for 7/17 of an hour.

Together, they rode the scooters for 145/12 + 7/17 hours. To combine the fractions, we need a common denominator, which is 12*17 = 204.

So, the equivalent fractions are (145*17/204) + (12*7/204).

Multiplying the numerators and denominators by the appropriate factors to make them equal:

(145*17)/204 + (12*7)/204 = (2535 + 84)/204 = 2619/204

Simplifying the fraction: 2619/204 = 13 + 1/16.

### Answer: 13 1/16 hours.

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?

Mistral 7B:

 Reasoning: First, we need to find the common denominator for all the fractions. The least common multiple of 26, 11, 28, and 19 is 594.

Now, convert each fraction to have this common denominator:

Floor lamps: (4/26)*(594/594) = (1976/594)
Desk lamps: (15/11)*(54/54) = (810/594)
Table lamps: (23/28)*(210/210) = (4680/594)
Decorative lamps: (8/19)*(306/306) = (2452/594)

Now, add all the fractions together:

Total fraction = (1976+810+4680+2452)/594 = 9128/594

Since the total fraction is greater than 1, it means that the store owner has more lamps than just these four types. To find the fraction of the total inventory these lamps constitute, we need to divide the total fraction by the sum of the parts of the whole (the total number of lamps in the store).

Let x be the total number of lamps in the store. Then,

9128/594 = (9128/594)/x

Cross-multiply to solve for x:

9128x = 594 * total number of lamps

x = 9128 * (594/594) / total number of lamps

x = total number of lamps

Now, we can find the fraction of the total inventory these lamps constitute:

Fraction of total inventory = (9128/594) / x

Since we don't know the total number of lamps in the store, we cannot find the exact fraction. However, we can express the fraction as a ratio:

Fraction of total inventory = 9128/594 : x

### Answer: The fraction of the total inventory these lamps constitute cannot be determined without knowing the total number of lamps in the store. However, the ratio is 9128/594 : x.

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.

Mistral 7B:

 Reasoning: First, we add the lengths of the two kite strings: (26/19 + 7/11) meters. To find a common denominator for the two fractions, we can use the least common multiple (LCM) of 19 and 11, which is 190. Multiplying the numerator and denominator of each fraction by the appropriate factor to get the same denominator:

(26/19 * (190/190) + 7/11 * (190/11)) meters = (26*190/190 + 7*190/11) meters = (5040/190 + 1540/11) meters

Now, we can add the two fractions: (5040/190 + 1540/11) = (5040+1540*190/190) / 190 = (5040+283600/190) / 190 = (288640/190) / 190 = 1481.68 meters (rounded to two decimal places)

Oliver decided to use only 5/8 of this combined string, so the length of the kite string he is using now is (1481.68 * 5/8) meters = (1481.68 * 62.5) / 100 = 9251.25/100 = 92.5125 meters (rounded to four decimal places)
### Answer: 92.5125 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

Mistral 7B:

 Reasoning: First, we need to find the common denominator for the fractions in the equation for 'u'. The least common multiple of 19 and 8 is 156. So, we can rewrite the equation as:

u = (135*9/156) + (72*6/156)

Now, we can simplify the equation:

u = (135 + 432)/156

u = 567/156

Now, we can find the value of 'j':

j = (567/156) + 4/1

j = 567/156 + 4

To find the least common multiple of 156 and 1, we can use the least common multiple of their prime factors:

Prime factors of 156: 2^3 * 3 * 7
Prime factors of 1: 1

The least common multiple is 2^3 * 3 * 7 = 336

So, we can multiply both sides of the equation by 336 to eliminate the fraction:

336 * j = 336 * (567/156) + 336 * 4

336 * j = 2169 + 1344

336 * j = 3513

Now, we can solve for 'j':

j = 3513 / 336

j = 10.4375

Since we cannot have a fraction of a snowball, we can round up to the nearest whole number:

j = 11

Now, we can find the total number of snowballs Mike had:

j = 11

### Answer: Mike had 11 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.

Mistral 7B:

 Reasoning: The first worker packages 26/18 = <<26/18=1.4444444444444443>>1.4444444444444443 pieces of chocolate per minute.
The second worker packages 15/15 = <<15/15=1>>1 piece of chocolate per minute.
Together, they package (1.4444444444444443 + 1) = <<1.4444444444444443+1=2.4444444444444443>>2.4444444444444443 pieces of chocolate per minute.
### Answer: 2.4444444444444443 ..............

The answer is not a whole number, but it can be rounded to 2 pieces of chocolate per minute if you want a whole number answer.
### Answer (rounded): 2

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.

Mistral 7B:

 Reasoning: Joanna washed 24/20 * 20 = <<24/20*20=24>>24 batches of small towels.
Joanna washed 25/15 * 15 = <<25/15*15=16.666666666666668>>16 batches of large towels (rounded to the nearest whole number).
Joanna washed a total of 24 + 16 = <<24+16=40>>40 batches of towels.
### Answer: 40

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?

Mistral 7B:

 Reasoning: First, we find the ratio of flour to sugar in the first recipe: (27/3) / (11/7) = (27*7) / (3*11) = 27/3 * 7/11 = 27/11.
Next, we subtract (21/26) from this ratio to account for the amount of sugar that makes the cookies too sweet: 27/11 - 21/26 = (27*26 - 21*11) / (11*26) = 672/297.
Finally, we add (22/9) cups of flour from the second recipe to the new ratio: 672/297 + 22/9 = (672*9 + 22*297) / (297*9) = 6482/2673.
Since we are only interested in the amount of flour, we can ignore the sugar part of the ratio.
### Answer: 6482/2673 cups of flour will be used 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?

Mistral 7B:

  Reasoning: First, we find the difference in the number of chickens between the two farms: 26/13 - 9/16 = (26*16 - 9*13)/(13*16) = 104/104 = 1 chicken more in the first farm.
After a week, the number of chickens in the first farm increased by 19/21: 26 + (19/21) * 1 = 26 + 9/11 = 35/11.
### Answer: 35/11  eller 355/111 (when simplified)

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'?

Mistral 7B:

 Reasoning: The helicopter flew the same distance for each exercise, so the total distance flown is twice the distance flown for one exercise. Let 'w' be the distance flown for each exercise. Then, the total distance flown is 2w. Since the helicopter traveled a distance of 24/14 miles for each exercise, we can set up the equation:

2w = 24/14

To solve for 'w', we can cross-multiply:

2 * 14w = 24 * 2

14w = 48

Now, we can solve for 'w':

w = 48 / 14

w = 3.428571429 (rounded to 7 decimal places)

Now, we can find the total distance flown:

t = w * w = 3.428571429 * 3.428571429 = 11.66666667 (rounded to 7 decimal places)

### Answer: 11.66666667 (rounded to 7 decimal places)

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.

Mistral 7B:

 Reasoning: The fraction of the tank filled during the first refuel is 20/16.
The fraction of the tank filled during the second refuel is 24/25.
To find the total fraction of the tank filled during both refuels, we add the fractions:
(20/16 + 24/25) = (5*20/40 + 24/25) = (100/40 + 24/25) = (100+96)/100 = 196/100.
Since the fraction of the tank filled must be less than or equal to 1, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
196/100 = (196/4) / (100/4) = 49/25.
### Answer: 49/25

Expected answer: 221/100

Correct? No

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?

Mistral 7B:

  Reasoning: To find the sum of the fractions, we need to find a common denominator for both fractions. The least common multiple of 27 and 26 is 138. So, we can rewrite the fractions as follows:
(24/27) * (26/26) + (30/26) * (27/27) = (624/678) + (810/678)
Now, we can add the numerators and keep the denominator the same:
1434/678
### Answer: The sum of the fractions is 1434/678.

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.

Mistral 7B:

 Reasoning: Kiki ate 11/6 bananas in the morning and the same amount in the afternoon, so she ate a total of 2*(11/6) = <<2*(11/6)=(22/6)>>(22/6) bananas.
### Answer: (22/6) bananas.

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?

Mistral 7B:

  Reasoning: To find the total amount of milk Jaden gets from one cow in one day, we multiply the morning milk yield by the evening milk yield.

Morning milk yield = 26/14 gallons
Evening milk yield = 28/20 gallons

Total daily milk yield = (26/14) * (28/20)

To find the least common multiple of the denominators (14 and 20), we find the product of the two numbers and then find the smallest number that is divisible by both:

LCM(14, 20) = 14 * 20 = 280

Now, we convert the fractions to have the same denominator:

Morning milk yield = (26 * 20)/280
Evening milk yield = (28 * 14)/280

Total daily milk yield = (26 * 20 * 28)/280^2

Simplify the fraction:

Total daily milk yield = (26 * 28)/280

Total daily milk yield = 714/280

### Answer: 714/280 utschke/tag von einem Kuhstall von Jaden.

Expected answer: 13/5

Correct? No