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?

Qwen2-Math 7B:

 Reasoning: Carla's initial production was 22/3 * 22/19 = <<22/3*22/19=484/57>>484/57 cucumbers per plant.
After adjusting her production method, she can grow 484/57 * 23/17 = <<484/57*23/17=11212/969>>11212/969 cucumbers per plant.
### Answer: 11212/969

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?

Qwen2-Math 7B:

 Reasoning: Pierre has 19/4 - 7/25 = <<19/4-7/25=445/100>>445/100 kg of grapes left after eating some.
After his mother gave him more grapes, Pierre has 445/100 + 30/9 = <<445/100+30/9=1015/100>>1015/100 kg of grapes.
### Answer: 1015/100

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?

Qwen2-Math 7B:

 Reasoning: The total cost is the sum of the fractions representing the wall repairs, moat renovations, and the new defensive catapults.
Total cost = <<26/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=101/22+4/29+11/3=

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.

Qwen2-Math 7B:

 Reasoning: ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) = <<(25 / 19) * (30 / 26)^2 * (25 / 19) * (30 / 26)=10.21>>10.21 lbs.
### Answer: 10.21

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?

Qwen2-Math 7B:

 Reasoning: Lara needs (11/3) + (8/30) = <<(11/3)+(8/30)=110/30+8/30=118/30=39/10>>39/10 feet of materials to make the necklace.
### Answer: 39/10

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.

Qwen2-Math 7B:

 Reasoning: Plane A traveled 24/11 miles in one minute, and Plane B traveled 26/27 miles in one minute.
The difference in distance traveled is 24/11 - 26/27 = <<24/11-26/27=10/297>>10/297 miles.
### Answer: 10/297

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.

Qwen2-Math 7B:

 Reasoning: The combined amount that both bears eat per day is (14/7) * (25/13) = <<(14/7)*(25/13)=50/13>>50/13 pounds.
### Answer: 50/13

Expected answer: 50/13

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Toby takes 12/8+12/3 = <<12/8+12/3=12/8+40/8=52/8>>52/8 hours to play both of his songs.
Simplifying the fraction, Toby takes 52/8 = <<52/8=6.5>>6.5 hours to play both of his songs.
### Answer: 6.5

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?

Qwen2-Math 7B:

 Reasoning: You have 28/29 + 8/22 = <<28/29+8/22=644/638>>644/638 chocolate bars.
### Answer: 644/638

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?

Qwen2-Math 7B:

 Reasoning: The compass maker will need 27/26 * 2 = <<27/26*2=54/26>>54/26 pounds of material to produce the two needles.
After producing the two needles, the compass maker will need 54/26 + 27/6 = <<54/26+27/6=162/26>>162/26 pounds of material to produce the additional piece.
The compass maker will need a total of 162/26 pounds of material to produce the two needles and the additional piece.
### Answer: 162/26

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?

Qwen2-Math 7B:

 Reasoning: The total rate at which the two candles burn together is 6/4 + 14/16 = <<6/4+14/16=1.75>>1.75 inches per hour.
### Answer: 1.75

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?

Qwen2-Math 7B:

 Reasoning: Sophia has 17/20 + 1/4 = <<17/20+1/4=23/20>>23/20 dollars.
Sophia has 23/20 + 1 = <<23/20+1=43/20>>43/20 dollars now.
### Answer: 43/20

Expected answer: 21/10

Correct? No

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

Qwen2-Math 7B:

 Reasoning: The initial time investment (p) is 16/4 + 16/29 = <<16/4+16/29=16/4+0.5517>>16/4 + 0.5517 = 4 + 0.5517 = <<4+0.5517=4.5517>>4.5517 hours.
The new total time (b) is 4.5517 + 28/13 = <<4.5517+28/13=4.5517+2.1538>>4.5517 + 2.1538 = <<4.5517+2.1538=6.7055>>6.7055 hours.
The final time spent on producing the song is (b - (18 / 4)) = 6.7055 - 18/4 = 6.7055 - 4.5 = <<6.7055-4.5=2.2055>>2.2055 hours.
### Answer: 2.2055

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?

Qwen2-Math 7B:

 Reasoning: Monica has 21/15 + 29/17 = <<21/15+29/17=40/17>>40/17 dozens of cookies at the end of the day.
To increase her total stock by a ratio of 7/5, Monica will have (40/17) * (7/5) = <<(40/17)*(7/5)=56/17>>56/17 dozens of cookies for the cookie festival.
### Answer: 56/17

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?

Qwen2-Math 7B:

 Reasoning: The chef will have 28 - 26/24 = <<28-26/24=27.5>>27.5 kg of sugar left after making one cake.
After adding 10/6 kg of sugar, the chef will have 27.5 + 10/6 = <<27.5+10/6=28.5>>28.5 kg of sugar.
### Answer: 28.5

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?

Qwen2-Math 7B:

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

Expected answer: 2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Princess Lily ate 10/12 of the apple pie and 10/29 of the blueberry pie.
To find the total amount of pie she ate, we need to add these fractions together.
10/12 + 10/29 = <<10/12+10/29=190/348+120/348=310/348>>310/348
### Answer: 310/348

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.

Qwen2-Math 7B:

 Reasoning: Marta uses (20 / 11) * (23 / 26) = <<(20 / 11) * (23 / 26)=230/286>>230/286 colored pencils for shading in her art projects over an 11-day period.
### Answer: 230/286

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.

Qwen2-Math 7B:

 Reasoning: Indicator i is calculated as the ratio of the decrease in the first specimen to the decrease in the second specimen, which is 26/6 : 25/17. Simplifying this ratio, we get 26*17 : 25*6 = 442 : 150. Indicator h is calculated as the difference between the increase in the first specimen and the increase in the second specimen, which is 18/8 - 17/23. Simplifying this difference, we get 18*23 - 17*8 : 8*23 = 414 - 136 : 184 = 278 : 184. Indicator f is calculated as the product of indicators h and i, which is 442*278 : 150*184 = 122,276 : 27,600. Simplifying this product, we get 122,276 : 27,600 = 4.43 : 1. Therefore, the value of f is 4.43.
### Answer: 4.43

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?

Qwen2-Math 7B:

 Reasoning: The total gestation period of both animals is 20/22 + 15 = <<20/22+15=15.90909090909091>>15.90909090909091 years.
The second time the lioness is pregnant, her gestation period reduces by 15/20 of a year, which is <<15/20=0.75>>0.75 years.
So, the gestation period for the second time is 15.90909090909091 - 0.75 = <<15.90909090909091-0.75=15.15909090909091>>15.15909090909091 years.
### Answer: 15.15909090909091

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?

Qwen2-Math 7B:

 Reasoning: The area of the original rectangle is (30/7) * (19/6) = <<(30/7)*(19/6)=95/7>>95/7 square meters.
The area of the similar rectangle is (18/17) * (95/7) = <<(18/17)*(95/7)=180/7>>180/7 square meters.
### Answer: 180/7

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?

Qwen2-Math 7B:

 Reasoning: The factory increases production by 4/20 = <<4/20=0.2>>0.2 tonnes.
The factory reduces production by 19/24 = <<19/24=0.7916666666666666>>0.7916666666666666 tonnes.
The total production for the day is 23/8 + 0.2 - 0.7916666666666666 = <<23/8+0.2-0.7916666666666666=2.125>>2.125 tonnes.
### Answer: 2.125

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'.

Qwen2-Math 7B:

 Reasoning: The machine starts with 24/8 gallons of red paint, which simplifies to 3 gallons.
It then pours away 12/8 gallons, which simplifies to 1.5 gallons.
So, the amount of red paint left in the machine is 3 - 1.5 = <<3-1.5=1.5>>1.5 gallons.
Finally, the machine adds another 1/28 gallon of blue pigment to lighten the color.
Subtracting this from the amount of red paint left in the machine, we get 1.5 - 1/28 = <<1.5-1/28=1.4642857142857142>>1.4642857142857142 gallons.
Therefore, the total amount of paint is 1.4642857142857142 gallons.
### Answer: 1.4642857142857142

Expected answer: 41/28

Correct? Yes

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.

Qwen2-Math 7B:

 Reasoning: (27 / 14) * (17 / 13) = <<(27 / 14) * (17 / 13)=459/182>>459/182.
The simplified fraction is <<459/182=2.52>>2.52.

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.

Qwen2-Math 7B:

 Reasoning: Sonia uses 21/12 oz of toothpaste daily, and Anthony uses 6/27 oz daily. To find the total daily amount used by Sonia and Anthony, we add these two fractions: 21/12 + 6/27 = <<21/12+6/27=11/12>>11/12 oz.
Their mom uses 3/18 oz of toothpaste daily. To find the final total daily toothpaste usage for the whole family, we add this amount to the total used by Sonia and Anthony: 11/12 + 3/18 = <<11/12+3/18=13/12>>13/12 oz.
### Answer: 13/12

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.

Qwen2-Math 7B:

 Reasoning: You had ((7 / 18) + (21 / 14)) = <<(7 / 18) + (21 / 14)=13/12>>13/12 of the original ingredients.
After making the simpler sandwich, you have 13/12 - 2/4 = <<13/12-2/4=11/12>>11/12 of the original ingredients left.
### Answer: 11/12

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?

Qwen2-Math 7B:

 Reasoning: The total height of the windows is 15/6 + 7/16 = <<15/6+7/16=29/8>>29/8 meters.
### Answer: 29/8

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?

Qwen2-Math 7B:

 Reasoning: Jan has 16/6 + 20/12 + 2/3 = <<16/6+20/12+2/3=10>>10 liters of juice in total.
### Answer: 10

Expected answer: 5

Correct? No

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

Qwen2-Math 7B:

 Reasoning: You have earned 4/3 * 13/10 = <<4/3*13/10=52/30>>52/30 points.
Simplifying the fraction, we get 52/30 = <<52/30=26/15>>26/15 points.
### Answer: 26/15

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?

Qwen2-Math 7B:

 Reasoning: The astronaut spends 18/8 + 26/2 = <<18/8+26/2=101/4>>101/4 hours on his previous "work" routine.
Adding the new activity, the astronaut spends 101/4 + 30/8 = <<101/4+30/8=131/4>>131/4 hours on his whole daily routine now.
### Answer: 131/4

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.

Qwen2-Math 7B:

 Reasoning: Jeremy ordered 30/9 = <<30/9=3.33>>3.33 ounces of cheese.
Jeremy received 3.33 - (17 / 22) = <<3.33-(17/22)=2.83>>2.83 ounces of cheese.
### Answer: 2.83

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.

Qwen2-Math 7B:

 Reasoning: The total number of sunglasses that blocked all UV rays is 13/4 + 20/18 + 21/17 - 16/30.
To simplify this expression, we need to find a common denominator for the fractions.
The least common multiple of 4, 18, 17, and 30 is 1020.
So, we can rewrite the expression as (13*255 + 20*56 + 21*60 - 16*34) / 1020.
Simplifying the numerator, we get 3315 + 1120 + 1260 - 544 = 5151.
Therefore, the final corrected number of sunglasses that blocked all UV rays is 5151/1020.
Simplifying this fraction, we get 1717/340.
### Answer: 1717/340

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?

Qwen2-Math 7B:

 Reasoning: Shawn uses 23/28 + 6/9 = <<23/28+6/9=1.0714285714285714>>1.0714285714285714 cups of mayonnaise and sandwich spread in total to make a sandwich.
Shawn now needs to add 18/12 = <<18/12=1.5>>1.5 cups of cheese spread to his recipe.
Shawn now needs to make 1 + 1.5 = <<1+1.5=2.5>>2.5 cups of ingredients in total to make one sandwich.
If Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, he will use 2.5 * 4/4 = <<2.5*4/4=2.5>>2.5 cups of ingredients in total to make those sandwiches.
### Answer: 2.5

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?

Qwen2-Math 7B:

 Reasoning: Cassandra had 7/6 key sets initially. After losing 1/21 of a key set, she has 7/6 - 1/21 = <<7/6-1/21=13/14>>13/14 key sets.
### Answer: 13/14

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.

Qwen2-Math 7B:

 Reasoning: The sum of the ratios of the first two sections is (29 / 23) + (19 / 17) = <<(29 / 23) + (19 / 17)=1.2608695652173913>>1.2608695652173913.
The ratio of the rest used in the third section is 26/26 = <<26/26=1>>1.
The difference between the sum of the ratios of the first two sections and the ratio of the rest is 1.2608695652173913 - 1 = <<1.2608695652173913 - 1=0.2608695652173913>>0.2608695652173913.
### Answer: 0.2608695652173913

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.

Qwen2-Math 7B:

 Reasoning: The product of 22/25 and 22/8 is (22*22)/(25*8) = <<22*22=484, 25*8=200, 484/200=2.42>>2.42.
### Answer: 2.42

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.

Qwen2-Math 7B:

 Reasoning: The total length of the pillow is 23/9 + 22/25 = <<23/9+22/25=103/45>>103/45 feet.
The total length is then multiplied by 16/13 to account for overlap and corners, resulting in 103/45 * 16/13 = <<103/45*16/13=1648/585>>1648/585 feet.
### Answer: 1648/585

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.

Qwen2-Math 7B:

 Reasoning: The car was supposed to travel an additional 21/4 * 16/13 = <<21/4*16/13=84/13>>84/13 miles.
The car only traveled an additional 1/21 miles.
The car was supposed to travel 84/13 - 1/21 = <<84/13-1/21=1673/273>>1673/273 miles more.
### Answer: 1673/273

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?

Qwen2-Math 7B:

 Reasoning: The total time required for the entire process is 20/5 + 18/17 = <<20/5+18/17=4+18/17=4+1.0588235294117647=5.0588235294117647>>5.0588235294117647 hours.
The time lost is 6/15 hours.
The extended time is the same as the initial total time required, which is 5.0588235294117647 hours.
The total extended time is 5.0588235294117647 * 5.0588235294117647 = <<5.0588235294117647*5.0588235294117647=25.59016393442622>>25.59016393442622 hours.
### Answer: 25.59016393442622

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?

Qwen2-Math 7B:

 Reasoning: Jenny's total yield is 13/11 * 21/3 = <<13/11*21/3=91/11>>91/11 bushels.
Jenny will make 91/11 * 21/15 = <<91/11*21/15=182/55>>182/55 dollars in total.
### Answer: 182/55

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?

Qwen2-Math 7B:

 Reasoning: The jeweler uses 14/28 = <<14/28=0.5>>0.5 kilograms of gold and 13/26 = <<13/26=0.5>>0.5 kilograms of silver.
The sum of the amount of gold and silver used by the jeweler is 0.5+0.5 = <<0.5+0.5=1>>1 kilogram.
### Answer: 1

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?

Qwen2-Math 7B:

 Reasoning: The total amount of honey 's' from a honey storage sub-section with an additional (2 / 26) gallons and a bee rearing sub-section is calculated as follows:
First, we find the total amount of honey in a honey storage sub-section, which is (25 / 9) gallons. Then, we add the additional (2 / 26) gallons to this amount. The total amount of honey in a bee rearing sub-section is the same as in a honey storage sub-section, which is (25 / 9) gallons. Therefore, the total amount of honey 's' is:
s = (25 / 9) + (2 / 26) + (25 / 9)
s = (2 * 25 + 2) / 18 + (25 / 9)
s = (50 + 2) / 18 + (25 / 9)
s = 52 / 18 + 25 / 9
s = 26 / 9 + 25 / 9
s = (26 + 25) / 9
s = 51 / 9
s = 17 / 3
### Answer: 17 / 3

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.

Qwen2-Math 7B:

 Reasoning: The dinosaur eats 16/8 + 6/17 = <<16/8+6/17=2.05882352941>>2.05882352941 bunches of leaves in an hour if it is eating day and night.
### Answer: 2.05882352941

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?

Qwen2-Math 7B:

 Reasoning: The bear ate 28/6 + 21/18 + 24/22 = <<28/6+21/18+24/22=11/3>>11/3 pounds of fish in total.
### Answer: 11/3

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?

Qwen2-Math 7B:

 Reasoning: Heather used 11/17 + 6/2 = <<11/17+6/2=11/17+30/17=41/17>>41/17 cups of sugar for the first and custard courses.
Heather used 41/17 * 29/21 = <<41/17*29/21=1189/357>>1189/357 cups of sugar in total.
### Answer: 1189/357

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?

Qwen2-Math 7B:

 Reasoning: ((7 / 8) + (21 / 18)) = <<(7 / 8) + (21 / 18)=13/12>>13/12.
The result of the calculation is 13/12.
### Answer: 13/12

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.

Qwen2-Math 7B:

 Reasoning: First, we calculate the total liquid consumption for the guests: (15/7) + (15/24) = <<(15/7)+(15/24)=1.75>>1.75 gallons.
Next, we calculate the baker's requirement for each cake: 26/20 = <<26/20=1.3>>1.3 gallons.
Now, we multiply the baker's requirement by the guests' consumption: 1.3 * 1.75 = <<1.3*1.75=2.275>>2.275 gallons.
Finally, we add this to the guests' consumption to find the total amount of liquid needed: 1.75 + 2.275 = <<1.75+2.275=4.025>>4.025 gallons.
### Answer: 4.025

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?

Qwen2-Math 7B:

 Reasoning: Teddy's final number is (30/17 + 18/15) * 24/13 = <<(30/17 + 18/15) * 24/13=1080/221>>1080/221.
### Answer: 1080/221

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).

Qwen2-Math 7B:

 Reasoning: The fraction of the desired diameter that each hole would have is (20/6) * (11 / 21) = <<(20/6)*(11/21)=110/126>>110/126.
### Answer: 110/126

Expected answer: 110/63

Correct? No

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

Qwen2-Math 7B:

 Reasoning: The difference in time is 17/10 - 12/23 = <<17/10-12/23=119/230>>119/230 hours.
### Answer: 119/230

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.

Qwen2-Math 7B:

 Reasoning: Carlos needs (20/15) + (24/5) * (7/6) = <<(20/15)+(24/5)*(7/6)=104/15>>104/15 units of wood to make one of the special chairs.
### Answer: 104/15

Expected answer: 104/15

Correct? Yes

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?

Qwen2-Math 7B:

 Reasoning: The car's initial speed was 13/4 miles per minute. It then slowed down by 14/15 miles per minute, so the new speed was 13/4 - 14/15 = <<13/4-14/15=19/60>>19/60 miles per minute. Finally, the car increased its speed by 30/15 miles per minute, so the final speed was 19/60 + 30/15 = <<19/60+30/15=119/60>>119/60 miles per minute.
### Answer: 119/60

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?

Qwen2-Math 7B:

 Reasoning: The vineyard produced 19/2 * 19/29 = <<19/2*19/29=19/29>>19/29 baskets of grapes this season.
Jake gets to keep 19/29 * 7/11 = <<19/29*7/11=133/319>>133/319 baskets of grapes.
Jake uses 133/319 * 9/10 = <<133/319*9/10=1197/3190>>1197/3190 baskets of grapes for the juice.
### Answer: 1197/3190

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.

Qwen2-Math 7B:

 Reasoning: Joel picked 9/2 + 10/22 = <<9/2+10/22=101/22>>101/22 bushels of grapes in total.
### Answer: 101/22

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?

Qwen2-Math 7B:

 Reasoning: The height of the larger snowball is 17/8 feet, and the height of the smaller snowball is 1/20 feet.
The total height of the snowman is 17/8 + 1/20 = <<17/8+1/20=101/40>>101/40 feet.
### Answer: 101/40

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.

Qwen2-Math 7B:

 Reasoning: The first child splits up 24/7 parts of the sand in a fair way, so each child gets 24/7/2 = <<24/7/2=12/7>>12/7 parts of the sand.
The second child takes away 2/16 = <<2/16=1/8>>1/8 part of the sand.
The remaining part of sand in the sandbox is 12/7 - 1/8 = <<12/7-1/8=95/56>>95/56.
### Answer: 95/56

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.

Qwen2-Math 7B:

 Reasoning: The lion ate 28/26 - 23/9 = <<28/26-23/9=1/18>>1/18 less of the zebra compared with the wildebeest.
### Answer: 1/18

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)).

Qwen2-Math 7B:

 Reasoning: The factory will produce <<(14 / 4) * (21 / 11) = 3.5 * 1.909090909090909 = 6.681818181818182>>6.681818181818182 kilograms of chocolate.
### Answer: 6.681818181818182

Expected answer: 147/22

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: The expected number of bananas produced by the first species in one day is 12/29, and the expected number of bananas produced by the second species in one day is 30/10.
The expected number of bananas produced by both species in one day is (12/29) + (30/10) = <<(12/29)+(30/10)=0.41379310344827585+3=3.4137931034482758>>3.4137931034482758.
### Answer: 3.4137931034482758

Expected answer: 99/29

Correct? Yes

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.

Qwen2-Math 7B:

 Reasoning: The giraffe needs to eat 11/11 + 26/14 = <<11/11+26/14=39/14>>39/14 ton of food in a day.
### Answer: 39/14

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.

Qwen2-Math 7B:

 Reasoning: The bear spends 18/24 = <<18/24=0.75>>0.75 of each day sleeping.
Over 27 days, the bear spends 0.75 * 27 = <<0.75*27=20.25>>20.25 days sleeping.
Assuming each month has 13 weeks, the bear spends 20.25 / 13 = <<20.25/13=1.5576923076923077>>1.5576923076923077 of each month sleeping.
### Answer: 1.5576923076923077

Expected answer: 81/52

Correct? Yes

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.

Qwen2-Math 7B:

 Reasoning: The fraction of trees that are either pine or birch is f = ((9 / 14) + (19 / 2)) = <<(9 / 14) + (19 / 2)=143/14>>143/14.
### Answer: 143/14

Expected answer: 71/7

Correct? No

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

Qwen2-Math 7B:

 Reasoning: The initial energy level is (14 / 2) / (23 / 17) = <<(14 / 2) / (23 / 17)=119/23>>119/23 zogs.
The increase in energy level is (16 / 24) = <<16 / 24=2/3>>2/3 zogs.
The final energy level is 119/23 + 2/3 = <<119/23 + 2/3=143/23>>143/23 zogs.
### Answer: 143/23

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?

Qwen2-Math 7B:

 Reasoning: Teddy hides 18/11 - 8/21 = <<18/11-8/21=10/33>>10/33 more friends 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.
f = 10/33
n = f^2 = (10/33)^2 = <<(10/33)^2=100/1089>>100/1089
Teddy needs <<100/1089>>100/1089 hiding spots.

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.

Qwen2-Math 7B:

 Reasoning: The robot has 25/10 - 27/23 = <<25/10-27/23=11/23>>11/23 units of energy left.
### Answer: 11/23

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.

Qwen2-Math 7B:

 Reasoning: The first two snails cover a total distance of ((17 / 21) + (20 / 24)) = <<(17 / 21) + (20 / 24)=1.0476190476190477>>1.0476190476190477 meters in 1 hour.
The third snail covers 18/17 = <<18/17=1.0588235294117647>>1.0588235294117647 meters in 1 hour.
The total distance covered by all three snails in 1 hour is 1.0476190476190477 * 1.0588235294117647 = <<1.0476190476190477*1.0588235294117647=1.1111111111111112>>1.1111111111111112 meters.
### Answer: 1.1111111111111112

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?

Qwen2-Math 7B:

 Reasoning: The difference between the original and remaining fabric is 24/14 - 9/29 = <<24/14-9/29=15/29>>15/29 yards.
The amount of new fabric used is 15/2 * 15/29 = <<15/2*15/29=225/58>>225/58 yards.
### Answer: 225/58

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.

Qwen2-Math 7B:

 Reasoning: 2/10 + 21/4 = <<2/10+21/4=23/20>>23/20
The total number of kids waiting for the swings is 23/20 of the total number of kids in the park.
### Answer: 23/20

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.

Qwen2-Math 7B:

 Reasoning: The spacecraft has (18 / 30) * (22 / 6) = <<(18 / 30) * (22 / 6)=11/5>>11/5 hours of power.
### Answer: 11/5

Expected answer: 11/5

Correct? Yes

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?

Qwen2-Math 7B:

 Reasoning: The cat eats 16/12 + 6/10 = <<16/12+6/10=1.1666666666666667>>1.1666666666666667 cans of cat food in one day.
### Answer: 1.1666666666666667

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?

Qwen2-Math 7B:

 Reasoning: The average number of eggs per nest for the first group of nests is 12/3 = <<12/3=4>>4 eggs.
The average number of eggs per nest for the second group of nests is 11/4 = <<11/4=2.75>>2.75 eggs.
The difference between the two averages is 4 - 2.75 = <<4-2.75=1.25>>1.25 eggs.
### Answer: 1.25

Expected answer: 5/4

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: The monkey eats (22 / 7) * (10 / 25) = <<(22 / 7) * (10 / 25)=44/35>>44/35 of the pile.
The monkey gives away (3 / 28) of the pile.
The monkey has 1 - (44/35 + 3/28) = <<1 - (44/35 + 3/28)=1/140>>1/140 of the pile left.
### Answer: 1/140

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?

Qwen2-Math 7B:

 Reasoning: The mouse runs 24/20 * 23/2 = <<24/20*23/2=276/40=69/10=6.9>>6.9 feet.
### Answer: 6.9

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?

Qwen2-Math 7B:

 Reasoning: 29/9 * 26/25 = <<29/9*26/25=234/75>>234/75 ounces of beverage were consumed initially.
234/75 + 2/19 = <<234/75+2/19=234/75+10/75=244/75>>244/75 ounces of beverage were consumed in total.
### Answer: 244/75

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?

Qwen2-Math 7B:

 Reasoning: You have 7/15 + 9 = <<7/15+9=142/15>>142/15 sets of toothbrushes.
You can fit 142/15 * 26/27 = <<142/15*26/27=364/45>>364/45 sets of toothbrushes in your display case.
### Answer: 364/45

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.

Qwen2-Math 7B:

 Reasoning: The total weight of the backpack is 27/20 + 1/6 = <<27/20+1/6=16/15>>16/15 kilograms.
### Answer: 16/15

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?

Qwen2-Math 7B:

 Reasoning: 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.

Qwen2-Math 7B:

 Reasoning: Tilly has 25/9 + 8/13 = <<25/9+8/13=377/117>>377/117 kg of sea plants.
Tilly has 377/117 + 24/27 = <<377/117+24/27=1131/351>>1131/351 kg of food after the second find.
Tilly has 1131/351 + 21/26 = <<1131/351+21/26=2955/897>>2955/897 kg of food after the third find.
Tilly has <<2955/897>>2955/897 kg of food in total.

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.

Qwen2-Math 7B:

 Reasoning: The distance to the island is 17/2 nautical miles, and the boat is currently 4/2 nautical miles away from the island. So, the adjusted distance is 17/2 - 4/2 = <<17/2-4/2=13/2>>13/2 nautical miles.
Captain Alf adjusts for the tide, which pushes his boat off course by 14/9 nautical miles. So, the adjusted distance becomes 13/2 + 14/9 = <<13/2+14/9=117/18>>117/18 nautical miles.
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. So, the final calculation comes to (117/18) * (22/15) = <<(117/18)*(22/15)=1518/270>>1518/270 gallons.
### Answer: 1518/270

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?

Qwen2-Math 7B:

 Reasoning: The forest ranger patrolled 14/3 - 2/18 = <<14/3-2/18=80/18>>80/18 miles in the afternoon.
### Answer: 80/18

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?

Qwen2-Math 7B:

 Reasoning: Arthur practices 20/21 + 11/29 = <<20/21+11/29=1.04347826087>>1.04347826087 hours on the weekend.
### Answer: 1.04347826087

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.

Qwen2-Math 7B:

 Reasoning: Initially, each sibling had 18/3 = <<18/3=6>>6 shirts.
After buying more shirts, each sibling kept 27/19 = <<27/19=1.4210526315789473>>1.4210526315789473 shirts.
The difference in the number of shirts each sibling has now compared to before is (6 - 1.4210526315789473) = <<6-1.4210526315789473=4.578947368421053>>4.578947368421053 shirts.
### Answer: 4.578947368421053

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?

Qwen2-Math 7B:

 Reasoning: The painter used 18/4 = <<18/4=4.5>>4.5 gallons of the light blue paint.
The painter has 7+2/5-4.5 = <<7+2/5-4.5=4.9>>4.9 gallons left.
### Answer: 4.9

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?

Qwen2-Math 7B:

 Reasoning: Jayson skated for 24/7 + 30/20 = <<24/7+30/20=1.7142857142857142>>1.7142857142857142 hours on the first day and 30/20 = <<30/20=1.5>>1.5 hours on the second day.
Jayson skated for a total of 1.7142857142857142 + 1.5 = <<1.7142857142857142+1.5=3.2142857142857142>>3.2142857142857142 hours over the two days.
### Answer: 3.2142857142857142

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?

Qwen2-Math 7B:

 Reasoning: The dolphin usually jumps 18/3 = <<18/3=6>>6 feet.
The dolphin only jumps 3/4 of his usual height, so he jumps 6*3/4 = <<6*3/4=4.5>>4.5 feet.
### Answer: 4.5

Expected answer: 9/2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: The ratio of last month's sales to production is (20/15 + 16/22) = <<(20/15 + 16/22)=1.3333333333333333>>1.3333333333333333.
The ratio of this week's sales to production is (22/27 * 23/8) = <<(22/27 * 23/8)=1.3333333333333333>>1.3333333333333333.
The result of multiplying these two ratios is 1.3333333333333333 * 1.3333333333333333 = <<1.3333333333333333*1.3333333333333333=1.7777777777777777>>1.7777777777777777.
### Answer: 1.7777777777777777

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?

Qwen2-Math 7B:

 Reasoning: The musician spent 30/15 = <<30/15=2>>2 minutes on each song.
The band reduced the time spent on a particular song by 1/17 of an hour, which is 60/17 = <<60/17=3.5294117647058824>>3.5294117647058824 minutes.
The final duration of that song is 2 - 3.5294117647058824 = <<2-3.5294117647058824=-1.5294117647058824>>-1.5294117647058824 minutes.
However, since time cannot be negative, we can conclude that the band did not reduce the time spent on that song. Therefore, the final duration of that song is still 2 minutes.
### Answer: 2

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.

Qwen2-Math 7B:

 Reasoning: Josh rode the scooter for 18 + 1/12 = <<18+1/12=217/12>>217/12 hours.
Jack rode the scooter for 7/17 hours.
Together, they rode the scooters for 217/12 + 7/17 = <<217/12+7/17=3719/204>>3719/204 hours.
### Answer: 3719/204

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?

Qwen2-Math 7B:

 Reasoning: The total fraction of lamps is 4/26 + 15/11 + 23/28 + 8/19 = <<4/26+15/11+23/28+8/19=1.00>>1.00.
Therefore, these lamps constitute <<1.00*100=100>>100% of the total inventory.
### Answer: 100%

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.

Qwen2-Math 7B:

 Reasoning: The combined length of the two strings is 26/19 + 7/11 = <<26/19+7/11=433/209>>433/209 meters.
Oliver uses 5/8 of this combined string, so the length of the kite string he is using now is (5/8) * (433/209) = <<(5/8)*(433/209)=2165/1672>>2165/1672 meters.
### Answer: 2165/1672

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

Qwen2-Math 7B:

 Reasoning: To find the value of 'u', we need to add the fractions 9/19 and 6/8. To do this, we first find a common denominator, which is 152 (19*8). So, we convert the fractions to have the same denominator: 9/19 = 72/152 and 6/8 = 90/152. Now, we can add them: u = 72/152 + 90/152 = 162/152. Simplifying this fraction, we get u = 81/76.

Next, we find the value of 'j' by adding 4/1 to 'u': j = 81/76 + 4/1. To add these fractions, we need a common denominator, which is 76. So, we convert 4/1 to 304/76 (4*76). Now, we can add them: j = 81/76 + 304/76 = 385/76. Simplifying this fraction, we get j = 5 1/76.

### Answer: j = 5 1/76

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.

Qwen2-Math 7B:

 Reasoning: The first worker packages 26/18 = <<26/18=1.4444444444444444>>1.4444444444444444 pieces of chocolate per minute.
The second worker packages 15/15 = <<15/15=1>>1 piece of chocolate per minute.
Together, they can package 1.4444444444444444 + 1 = <<1.4444444444444444+1=2.4444444444444444>>2.4444444444444444 pieces of chocolate per minute.
### Answer: 2.4444444444444444

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.

Qwen2-Math 7B:

 Reasoning: Joanna washed 24/20 = <<24/20=1.2>>1.2 batches of small towels and 25/15 = <<25/15=1.6666666666666667>>1.6666666666666667 batches of large towels.
Joanna washed 1.2+1.6666666666666667 = <<1.2+1.6666666666666667=2.8666666666666665>>2.8666666666666665 batches of towels in total.
### Answer: 2.8666666666666665

Expected answer: 43/15

Correct? Yes

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?

Qwen2-Math 7B:

 Reasoning: The ratio of flour to sugar in the first recipe is (27 / 3) / (11 / 7) = <<(27 / 3) / (11 / 7)=63/11>>63/11.
Subtracting (21 / 26) from this ratio gives <<63/11 - 21/26=1053/286>>1053/286.
Adding (22 / 9) cups of flour from the second recipe to this ratio gives <<1053/286 + 22/9=1235/286>>1235/286.
Therefore, Debra will have <<1235/286>>1235/286 cups of flour in the end.
### Answer: 1235/286

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?

Qwen2-Math 7B:

 Reasoning: The difference between the number of chickens in the two farms is 26/13 - 9/16 = <<26/13-9/16=17/16>>17/16.
After a week, the number of chickens multiplied by 19/21, so the new number of chickens is 17/16 * 19/21 = <<17/16*19/21=17/16*19/21=17*19/(16*21)>>17*19/(16*21).
### Answer: 17*19/(16*21)

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'?

Qwen2-Math 7B:

 Reasoning: The distance flown for each exercise is 24/14 miles. The total distance flown for both exercises is the product of the distance flown for each exercise, which is (24/14) * (24/14) = <<(24/14)*(24/14)=576/196>>576/196 miles.
### Answer: 576/196

Expected answer: 144/49

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: The total fraction of the tank that the UFO was able to refill during these two stops is 20/16 + 24/25 = <<20/16+24/25=1.9375>>1.9375.
However, since a fuel tank cannot be filled with more than 100% of its capacity, the UFO was able to refill 100% of its tank during these two stops.
### Answer: 1

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?

Qwen2-Math 7B:

 Reasoning: The sum of the two fractions is (24 / 27) + (30 / 26) = <<(24 / 27) + (30 / 26)=0.8888888888888888>>0.8888888888888888.
Professor Astro finds that the power of his telescope is approximately 0.8888888888888888.
### Answer: 0.8888888888888888

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.

Qwen2-Math 7B:

 Reasoning: Kiki ate 11/6 + 11/6 = <<11/6+11/6=22/6>>22/6 bananas in total.
### Answer: 22/6

Expected answer: 11/3

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Jaden gets 26/14 * 28/20 = <<26/14*28/20=182/140>>182/140 gallons of milk from one cow in one day.
### Answer: 182/140

Expected answer: 13/5

Correct? No