🔗 Problem

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?

LLemma 34B:

     Reasoning: Carla can grow 22/3*22/19 = <<22/3*22/19=44/19>>44/19 cucumbers per plant.
    Carla can grow 44/19*23/17 = <<44/19*23/17=46/17>>46/17 cucumbers per plant after adjusting her production method.
    ### Answer: 46/17

Expected answer: 11132/969

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Pierre ate 7/25 kg of grapes.
    Pierre has 19/4 - 7/25 = <<19/4-7/25=11/10>>11/10 kg of grapes left.
    Pierre has 11/10 + 30/9 = <<11/10+30/9=101/30>>101/30 kg of grapes now.
    ### Answer: 101/30

Expected answer: 2341/300

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: King Arthur spent 26/22+4/29+11/3 = <<26/22+4/29+11/3=11/3>>11/3 of his castle's annual budget on these projects.
    ### Answer: 11/3

Expected answer: 4772/957

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) = ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))>> = <<((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26))=((25 / 19) * (30 / 26))^2 * ((25

Expected answer: 52734375/15069223

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Lara will need (11/3)+(8/30) = <<

Expected answer: 59/15

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Plane A traveled 24/11 miles in one minute. Plane B traveled 26/27 miles in one minute.
    Plane A traveled 24/11 - 26/27 = <<24/11-26/27=1/27>>1/27 miles farther than Plane B.
    ### Answer: 1/27

Expected answer: 362/297

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: 14/7 * 25/13 = <<14/7*25/13=100/91>>100/91
    ### Answer: 100/91

Expected answer: 50/13

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Toby plays his first song for 12/8 hours and his second song for 12/3 hours.
    Toby plays both songs for 12/8+12/3 = <<12/8+12/3=12/2>>12/2 hours.
    ### Answer: 12/2

Expected answer: 11/2

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: You have 28+8 = <<28+8=36>>36 chocolate bars now.
    The total chocolate bars you have now is 36/29 = <<36/29=1.

Expected answer: 424/319

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The maker will require 27/26+27/26 = <<27/26+27/26=27/13>>27/13 pounds of material to produce the two needles.

    The maker will require 27/13+27/6 = <<27/13+27/6=27/4>>27/4 pounds of material to produce the two needles and the additional piece.
    ### Answer: 27/4

Expected answer: 171/26

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The two candles burn at a rate of 6/4+14/16 = <<6/4+14/16=10/8>>10/8 inches per hour together.
    ### Answer: 10/8

Expected answer: 19/8

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Sophia has 17/20+1/4 = <<17/20+1/4=19/20>>19/20 of a dollar.
    Sophia has 19/20+1 = <<19/20+1=20/20>>20/20 of a dollar.
    ### Answer: 20/20

Expected answer: 21/10

Correct? No

🔗 Problem

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))?

LLemma 34B:

     Reasoning: The initial time investment is p = 16/4 + 16/29 = <<16/4+16/29=10/7>>10/7 hours.
    The total time spent on the song is b = p + 28/13 = <<10/7+28/13=100/91>>100/91 hours.
    The final time spent on the song is b - (18 / 4) = <<

Expected answer: 1663/754

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Monica has 21/15+29/17 = <<21/15+29/17=104/35>>104/35 dozens of cookies at the end of the day.
    Monica will have 104/35*7/5 = <<104/35*7/5=148/35>>148/35 dozens of cookies for the cookie festival.
    ### Answer: 148/35

Expected answer: 1848/425

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The chef will use 26/24 kg of sugar to make one cake.
    The chef will have 28-26/24 = <<28-26/24=28-13/12=28-11/12=17/12>>17/12 kg of sugar left after making one cake.
    The chef will have 17/12+10/6 = <<17/12+10/6=17/12+5/3=17/12+15/12=32/12>>32/12 kg of sugar after adding 10/6 kg of sugar to their supply.
    ### Answer: 32/12

Expected answer: 343/12

Correct? No

🔗 Problem

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?

LLemma 34B:

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

Expected answer: 2

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Princess Lily ate 10/12 = <<10/12=5/6>>5/6 of the apple pie and 10/29 = <<10/29=10/29>> of the blueberry pie.
    Princess Lily ate 5/6+10/29 = <<5/6+10/29=11/14>> of the pies (combined).
    ### Answer: 11/14

Expected answer: 205/174

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Marta uses 20/11 = <<20/11=181/11>>181/11 colored pencils every 11 days on her art projects.
    Marta uses 23/26 = <<23/26=115/26>>115/26 out of every 26 colored pencils for shading techniques.
    Marta uses (20/11)*(23/26) = <<(20/11)*(23/26)=(20*23)/(11*26)=460/286>>460/286 colored pencils for shading in her art projects over an 11-day period.
    ### Answer: 460/286

Expected answer: 230/143

Correct? Yes

🔗 Follow-up

Problem: In addition to the colored pencils Marta uses for her art projects, she also has a pack of special metallic colored pencils. She uses 8 of these special pencils every 6 days. Adding these two amounts together, how many colored pencils in total does Marta use over an 11-day period? To find this, you need to add the fraction of colored pencils she uses from the previous problem to the amount of metallic pencils she uses. Evaluate this by performing the operation (8 / 6) + ((20 / 11) * (23 / 26)) and write your answer as a simplified fraction.

LLemma 34B:

     Reasoning: Marta uses 8/6 = <<8/6=4/3>>4/3 special colored pencils every 6 days.
    Marta uses (20/11)*(23/26) = <<(20/11)*(23/26)=(20*23)/(11*26)=460/286>>460/286 colored pencils for shading in her art projects over an 11-day period.
    Marta uses (8/6) + ((20/11)*(23/26)) = <<(8/6)+((20/11)*(23/26))=(8*23*26)/(6*11*26)+(20*23)/(11*26)=(184*23)/(138*26)+(20*23)/(11*26)=(184*23+20*23)/(138*26)=(184*23+20*23)/(138*26)=(184*23+20*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*23)/(138*26)=(400*2

Expected answer: 1262/429

Correct? No

🔗 Follow-up

Problem: Marta realized that she actually only uses 23 out of 24 colored pencils for shading techniques, not 23 out of 26 as previously mentioned. Now, how many colored pencils does Marta use for shading in her art projects over an 11-day period? To find this, you need to adjust the previous calculation. Evaluate this by performing the operation (20 / 11) * (23 / 24) and write your answer as a simplified fraction.

LLemma 34B:

     Reasoning: Marta uses 20/11 = <<20/11=181/11>>181/11 colored pencils every 11 days on her art projects.
    Marta uses 23/24 = <<23/24=115/24>>115/24 out of every 24 colored pencils for shading techniques.
    Marta uses (20/11)*(23/24) = <<(20/11)*(23/24)=(20*23)/(11*24)=460/264>>460/264 colored pencils for shading in her art projects over an 11-day period.
    ### Answer: 460/264

Expected answer: 115/66

Correct? Yes

🔗 Problem

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.

LLemma 34B:

     Reasoning: The first specimen decreases its value by 26/6 = <<26/6=4.333333333333333>>4.333333333333333 units.
    The second specimen decreases its value by 25/17 = <<25/17=1.470588235294118>>1.470588235294118 units.
    The ratio of these changes is 4.333333333333333/1.470588235294118 = <<4.333333333333333/1.470588235294118=2.931188147572815>>2.931188147572815.

    The first specimen increases its value by 18/8 = <<18/8=2.25>>2.25 units.
    The second specimen increases its value by 17/23 = <<17/23=0.739130434782609>>0.739130434782609 units.
    The difference between these two rates is 2.25-0.739130434782609 = <<2.25-0.739130434782609=1.510869565217391>>1.510869565217391.

    The final evidence factor is 2.931188147572815*1.510869565217391 = <<2.931188147572815*1.510869565217391=4.401121719981218>>4.401121719981218.
    ### Answer: 4.401121719981218

Expected answer: 30719/6900

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The gestation period of a lioness is 20/22 of a year.
    The gestation period of a giraffe is 15 years.
    The total gestation period of both animals together is 20/22 + 15 = <<20/22+15=15.5>>15.5 years.

    Later in the same year, the gestation period of the lioness is 20/22 - 15/20 = <<20/22-15/20=1.5>>1.5 years.
    ### Answer: 1.5

Expected answer: 667/44

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The area of the original rectangle is (30/7)*(19/6) = <<(30/7)*(19/6)=(570/42)>>(570/42) square meters.
    The area of the similar rectangle is (18/17)*(570/42) = <<(18/17)*(570/42)=(1020/42)>>(1020/42) square meters.
    ### Answer: (1020/42)

Expected answer: 1710/119

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The factory produces 23/8+4/20 = <<23/8+4/20=27/10>>27/10 tonnes of soap each day.
    The factory produces 27/10-19/24 = <<27/10-19/24=1/120>>1/120 tonnes of soap each day after the adjustments.
    ### Answer: 1/120

Expected answer: 137/60

Correct? No

🔗 Problem

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'.

LLemma 34B:

     Reasoning: The machine starts with 24/8 gallons of red paint. It then pours away 12/8 gallons of the mix.

    The machine has 24/8-12/8 = <<24/8-12/8=12/8>>12/8 gallons of red paint left.

    The machine adds another 1/28 gallon of blue pigment to lighten the color.

    The machine has 12/8-1/28 = <<12/8-1/28=23/28>>23/28 gallons of red paint left.

    The machine has 23/28 gallons of red paint left.

    ### Answer: 23/28

Expected answer: 41/28

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: (27 / 14) * (17 / 13) = <<(27/14)*(17/13)=(27*17)/(14*13)=(27*17)/(2*7*13)=(27/2)*(17/13)=(13*17)/(2*13)=17/2>>17/2 ounces are required.
    ### Answer: 17/2

Expected answer: 459/182

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Sonia uses 21/12 oz of toothpaste daily.
    Anthony uses 6/27 oz of toothpaste daily.
    The total daily toothpaste usage for Sonia and Anthony is 21/12+6/27 = <<21/12+6/27=105/36>>105/36 oz.

    Their mom uses 3/18 oz of toothpaste daily.
    The total daily toothpaste usage for the whole family is 105/36+3/18 = <<105/36+3/18=108/36>>108/36 oz.
    ### Answer: 108/36

Expected answer: 77/36

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: You have ((7 / 18) + (21 / 14)) = <<(7 / 18) + (21 / 14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(21/14)=(14/18)+(

Expected answer: 25/18

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The first window is 15/6 meters tall. The second window is 7/16 meters tall.
    The total height of the windows is 15/6+7/16 = <<15/6+7/16=15/6*16/16+7/16*6/6=240/96+42/96=282/96=141/48>>141/48 meters.
    ### Answer: 141/48

Expected answer: 47/16

Correct? Yes

🔗 Follow-up

Problem: The window washer noticed that he made an error in measuring the first window. It is actually 15/5 meters tall, not 15/6 meters tall as he initially recorded. How tall are the windows in total now?

LLemma 34B:

     Reasoning: The first window is 15/5 meters tall. The second window is 7/16 meters tall.
    The total height of the windows is 15/5+7/16 = <<15/5+7/16=15/5*16/16+7/16*5/5=240/80+35/80=275/80=115/32>>115/32 meters.
    ### Answer: 115/32

Expected answer: 55/16

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: 16/6 + 20/12 + 2/3 = <<16/6+20/12+2/3=16/6+10/6+2/3=28/6+2/3=56/6+2/3=58/6>>58/6 liters of juice.
    ### Answer: 58/6

Expected answer: 5

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: You have played 13/10 of 4/3 points.
    You have played 13/10 * 4/3 = <<13/10*4/3=13/7>>13/7 points.
    ### Answer: 13/7

Expected answer: 26/15

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The astronaut spends 18/8+26/2 = <<18/8+26/2=18/8+13=21/2>>21/2 hours a day cycling on the spaceship's exercise bike and 26/2 hours a day conducting scientific experiments.
    The astronaut spends 18/8+26/2+30/8 = <<18/8+26/2+30/8=18/8+13+15/2=18/8+28/2=26/2>>26/2 hours a day on his whole daily routine.
    ### Answer: 26/2

Expected answer: 19

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Jeremy ordered 30/9 - 17/22 = <<30/9-17/22=1/11>>1/11 ounces of cheese.
    Jeremy received 1/11 ounces of cheese.
    ### Answer: 1/11

Expected answer: 169/66

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Sophia's first test had 13/4 = <<13/4=3.25>>3.25 sunglasses that blocked all UV rays.
    Her second test had 20/18 = <<20/18=1.1111111111111112>>1.1111111111111112 sunglasses that blocked all UV rays.
    Her third test had 21/17 = <<21/17=1.235294117647059>>1.235294117647059 sunglasses that blocked all UV rays.
    Her fourth test had 16/30 = <<16/30=0.5333333333333333>>0.5333333333333333 sunglasses that blocked all UV rays.

    Sophia's final corrected number of sunglasses that blocked all UV rays was 3.25+1.1111111111111112+1.235294117647059-0.5333333333333333 = <<3.25+1.1111111111111112+1.235294117647059-0.5333333333333333=3.988888888888889>>3.988888888888889 sunglasses.
    ### Answer: 3.988888888888889

Expected answer: 15493/3060

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Shawn uses 23/28+6/9 = <<23/28+6/9=10/12>>10/12 cups of mayonnaise and sandwich spread in total to make a sandwich.

    Shawn uses 10/12+18/12 = <<10/12+18/12=28/12>>28/12 cups of mayonnaise, sandwich spread, and cheese spread in total to make a sandwich.

    Shawn uses 28/12*4/4 = <<28/12*4/4=28/3>>28/3 cups of ingredients in total to make 4/4 sandwiches.
    ### Answer: 28/3

Expected answer: 251/84

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Cassandra lost 1/21 of a key set.
    Cassandra has 7/6 - 1/21 = <<7/6-1/21=13/21>>13/21 of a key set now.
    ### Answer: 13/21

Expected answer: 47/42

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: (29 / 23) + (19 / 17) = <<(29/23)+(19/17)=(29*17+19*23)/(23*17)=(493+437)/(23*17)=(930)/(23*17)=(930)/(391)=2.38>>2.38

    (26/26) = <<26/26=1>>1

    The difference between the sum of the ratios of the two sections and the ratio of a rest is 2.38 - 1 = <<2.38-1=1.38>>1.38
    ### Answer: 1.38

Expected answer: 539/391

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: 22/25 * 22/8 = <<22/25*22/8=22/100>>22/100
    ### Answer: 22/100

Expected answer: 121/50

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The length of the pillow is 23/9 + 22/25 = <<23/9+22/25=11/3>>11/3 feet.
    The total length is then multiplied by 16/13 to account for overlap and corners.
    The length of border material James will need for his pillow is 11/3 * 16/13 = <<11/3*16/13=16/9>>16/9 feet.
    ### Answer: 16/9

Expected answer: 12368/2925

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The car was supposed to travel 16/13 - 1/21 = <<16/13-1/21=15/13>>15/13 miles more.
    The car was supposed to travel 15/13 * 21/4 = <<15/13*21/4=105/52>>105/52 miles more.
    ### Answer: 105/52

Expected answer: 323/52

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The total time required for the entire process is 20/5+18/17 = <<

Expected answer: 34056/1445

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Jenny plants 13/11*21/3 = <<13/11*21/3=21/11>>21/11 rows of potatoes.
    Jenny sells 21/11*21/15 = <<21/11*21/15=21/15>>21/15 dollars in total by selling all her potatoes.
    ### Answer: 21/15

Expected answer: 637/55

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The jeweler uses 14/28+13/26 = <<14/28+13/26=17/28>>17/28 kilograms of gold and silver.
    ### Answer: 17/28

Expected answer: 1

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The beekeeper would have (25 / 9) + (2 / 26) = <<25/9+2/26=27/9>>27/9 gallons of honey in total from this scenario.
    ### Answer: 27/9

Expected answer: 659/117

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The dinosaur eats 16/8+6/17 = <<16/8+6/17=24/17>>24/17 bunches of leaves per hour if it is eating day and night.
    ### Answer: 24/17

Expected answer: 40/17

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The bear ate 28/6+21/18+24/22 = <<28/6+21/18+24/22=100/18>>100/18 pounds of fish in these three days.
    ### Answer: 100/18

Expected answer: 457/66

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Heather used 11/17+6/2 = <<11/17+6/2=11/17+3=14/17>>14/17 cups of sugar for the first course and the custard.

    She used 29/21*14/17 = <<29/21*14/17=29/17>>29/17 cups of sugar in total.
    ### Answer: 29/17

Expected answer: 1798/357

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: ((7 / 8) + (21 / 18)) = ((7 / 8) + (7 / 8)) = (2 * (7 / 8)) = (14 / 8) = (7 / 4)
    ### Answer: 7/4

Expected answer: 49/24

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The baker's requirement is multiplied by the guests' consumption:

    <<26/20*

Expected answer: 713/112

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Teddy's new number is 30/17 + 18/15 = <<30/17+18/15=10/17>>10/17.
    Teddy's final number is 10/17 * 24/13 = <<10/17*24/13=40/39>>40/39.
    ### Answer: 40/39

Expected answer: 6048/1105

Correct? No

🔗 Problem

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).

LLemma 34B:

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

Expected answer: 110/63

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The first model takes 17/10 hours to assemble.
    The second model takes 12/23 hours to assemble.

    The difference in time is 17/10 - 12/23 = <<17/10-12/23=17/10-12/23=17*23/10*23-12*10/23*10=391/230-120/230=271/230=271/230=1.

Expected answer: 271/230

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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.

    Carlos would need to make one of these special chairs.

    In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

    Reasoning: Carlos 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

Expected answer: 104/15

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The car slowed down by 14/15 miles per minute.
    The car increased its speed again by 30/15 miles per minute.
    The final speed of the car is 13/4 - 14/15 + 30/15 = <<

Expected answer: 259/60

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: 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. So, 19/2 * 19/29 = <<19/2*19/29=19/11>>19/11 baskets of grapes were produced this season.

    Jake gets to keep only 7/11 of the total amount of grapes. So, 19/11 * 7/11 = <<19/11*7/11=7/2>>7/2 baskets of grapes does he get.

    Out of the grapes that he got, Jake uses 9/10 of his grapes to make the juice. So, 7/2 * 9/10 = <<7/2*9/10=27/20>>27/20 baskets of grapes does he use for the juice.
    ### Answer: 27/20

Expected answer: 22743/6380

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Joel picked 9/2+10/22 = <<9/2+10/22=19/11>>19/11 bushels of grapes that day.
    ### Answer: 19/11

Expected answer: 109/22

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The height of the larger snowball is 17/8/2 = <<17/8/2=17/16>>17/16 feet.
    The height of the smaller snowball is 1/20/2 = <<1/20/2=1/40>>1/40 feet.
    The total height of the snowman is 17/16+1/40 = <<

Expected answer: 87/40

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The child splits up 24/7 = <<24/7=3.4285714285714285>>3.4285714285714285 parts of the sand in a fair way.
    The remaining part of sand in the sandbox is 3.4285714285714285-2/16 = <<3.4285714285714285-2/16=3.375>>3.375.
    ### Answer: 3.375

Expected answer: 185/56

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The lion ate 28/26 of a zebra in one day.
    The lion ate 23/9 of a wildebeest the next day.
    The lion ate 28/26 - 23/9 = <<28/26-23/9=1/15>>1/15 less of the zebra compared with the wildebeest.
    ### Answer: 1/15

Expected answer: 173/117

Correct? No

🔗 Problem

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)).

LLemma 34B:

     Reasoning: The factory will produce 14/4 * 21/11 = <<14/4*21/11=7/2>>7/2 kilograms of chocolate.
    ### Answer: 7/2

Expected answer: 147/22

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The expected number of bananas that the two species together will have produced on that day is ((12 / 29) + (30 / 10)) = <<(12/29)+(30/10)=1.41379310344828>>1.41379310344828.
    ### Answer: 1.41379310344828

Expected answer: 99/29

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: 11/11 + 26/14 = <<11/11+26/14=11/11+13/7=24/7>>24/7 ton of food.
    ### Answer: 24/7

Expected answer: 20/7

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: (18 / 24) * (27 / 13) = <<(18/24)*(27/13)=0.75>>0.75
    ### Answer: 0.75

Expected answer: 81/52

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: f = ((9 / 14) + (19 / 2))
    f = (0.64 + 9.5)
    f = 10.14
    ### Answer: 10.14

Expected answer: 71/7

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: (14 / 2) / (23 / 17) = <<(14/2)/(23/17)=7>>7 zogs.
    (7 + 16 / 24) = <<7+16/24=7.666666666666667>>7.666666666666667 zogs.
    ### Answer: 7.666666666666667

Expected answer: 403/69

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Teddy hides 18/11 - 8/21 = <<18/11-8/21=10/11>>10/11 more friends in the forest than at the beach.
    Let's call this number 'f'.
    f^2 = <<(10/11)^2=100/121>>100/121
    ### Answer: 100/121

Expected answer: 84100/53361

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The robot has 25/10-27/23 = <<25/10-27/23=1/23>>1/23 units of energy left.
    ### Answer: 1/23

Expected answer: 61/46

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The first two snails' distance is ((17 / 21) + (20 / 24)) = <<(17/21)+(20/24)=(34/21)>>34/21 meters.
    The total distance is (34 / 21) * (18 / 17) = <<(34/21)*(18/17)=(57/17)>>57/17 meters.
    ### Answer: 57/17

Expected answer: 207/119

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Johnny used 24/14 - 9/29 = <<24/14-9/29=1>>1 yard of the original fabric.
    Johnny used 15/2 * (24/14 - 9/29) = <<15/2*24/14-9/29=15/28>>15/28 yards of the new fabric.
    ### Answer: 15/28

Expected answer: 4275/406

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: 2/10 + 21/4 = <<2/10+21/4=11/5>>11/5
    ### Answer: 11/5

Expected answer: 109/20

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: (18 / 30) * (22 / 6) = <<(18/30)*(22/6)=11/15>>11/15 hours of power.
    ### Answer: 11/15

Expected answer: 11/5

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The cat eats 16/12+6/10 = <<16/12+6/10=10/5>>10/5 cans of cat food in one day.
    ### Answer: 10/5

Expected answer: 29/15

Correct? No

🔗 Problem

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?

LLemma 34B:

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

Expected answer: 5/4

Correct? Yes

🔗 Follow-up

Problem: Considering the previous scenario with the starfish, suppose instead, the starfish laid 12 eggs in 3 nests and only one egg in another 4 nests. How much is the difference between the average number of eggs per nest for this revised scenario?

LLemma 34B:

     Reasoning: The average number of eggs per nest for the first group of nests is 12/3 = <<12/3=4>>4.
    The average number of eggs per nest for the second group of nests is 1/4 = <<1/4=0.25>>0.25.
    The difference between the average number of eggs per nest for these two groups of nests is 4-0.25 = <<4-0.25=3.75>>3.75.
    ### Answer: 3.75

Expected answer: 15/4

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The monkey eats (22 / 7) times (10 / 25) = <<(22/7)*(10/25)=(22/175)>>(22/175) of the pile.
    The monkey gives (3 / 28) of the pile to his friend.
    The monkey has (1 - (3 / 28)) = <<1-(3/28)=(25/28)>>(25/28) of the pile left.
    ### Answer: (25/28)

Expected answer: 23/20

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The mouse runs at a speed of 24/20 = <<24/20=1.2>>1.2 feet per second.
    The mouse runs for 23/2 = <<23/2=11.5>>11.5 seconds.
    The mouse runs 1.2*11.5 = <<1.2*11.5=13.8>>13.8 feet.
    ### Answer: 13.8

Expected answer: 69/5

Correct? Yes

🔗 Follow-up

Problem: After running the initial distance, the mouse continues to run for an additional 26/17 feet. What is the total distance that the mouse runs?

LLemma 34B:

     Reasoning: The mouse runs 13.8+26/17 = <<13.8+26/17=16.2>>16.2 feet.
    ### Answer: 16.2

Expected answer: 1303/85

Correct? No

🔗 Follow-up

Problem: In the previous problem, we observed a mouse running at a speed of 24/20 feet per second for 23/2 seconds. Let's reconsider the situation, but now the mouse runs at the same speed for only 10/2 seconds. How far does the mouse run now?

LLemma 34B:

     Reasoning: The mouse runs at a speed of 24/20 = <<24/20=1.2>>1.2 feet per second.
    The mouse runs for 10/2 = <<10/2=5>>5 seconds.
    The mouse runs 1.2*5 = <<1.2*5=6>>6 feet.
    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

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?

LLemma 34B:

     Reasoning: 26/25 of 29/9 = <<26/25*29/9=26/25*32/27=26/25*128/81=26/25*16/9=26/25*16/9=16/9>>16/9 ounces of beverage were consumed.
    16/9+2/19 = <<16/9+2/19=16/9+18/19=34/19>>34/19 ounces of beverages were consumed at the party in total.
    ### Answer: 34/19

Expected answer: 14776/4275

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: You can fit 26/27-7/15 = <<26/27-7/15=19/27>>19/27 sets of toothbrushes in your display case.
    ### Answer: 19/27

Expected answer: 3692/405

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The backpack weighs 27/20 + 1/6 = <<27/20+1/6=11/4>>11/4 kilograms now.
    ### Answer: 11/4

Expected answer: 91/60

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The new bottle will be (7 / 7) * (25 / 22) = <<(7/7)*(25/22)=(25/22)>>(25/22) times larger than the old one.
    ### Answer: (25/22)

Expected answer: 25/22

Correct? Yes

🔗 Follow-up

Problem: The soda company decided to further increase the size of the new bottle design. Now the bottles will be enlarged by a multiplier of (28 / 13) times the previous size change. What will be the new multiplier of the updated bottle compared to the original one?

LLemma 34B:

     Reasoning: The new bottle will be (28 / 13) * (25 / 22) = <<(28/13)*(25/22)=(140/266)>>(140/266) times larger than the old one.
    ### Answer: (140/266)

Expected answer: 350/143

Correct? No

🔗 Follow-up

Problem: The soda company revises their decision and decides to slightly reduce the increase in the size of the new bottle design. Now, the bottles will be (7 / 7) * (25 / 12) times larger than the original design. What will be the new multiplier for the revised bottle compared to the origianl one?

LLemma 34B:

     Reasoning: The new bottle will be (7 / 7) * (25 / 12) = <<(7/7)*(25/12)=(25/12)>>(25/12) times larger than the old one.
    ### Answer: (25/12)

Expected answer: 25/12

Correct? Yes

🔗 Problem

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.

LLemma 34B:

     Reasoning: Tilly has gathered 25/9+8/13 = <<25/9+8/13=103/27>>103/27 kg of sea plants.
    Tilly has gathered 103/27+24/27 = <<103/27+24/27=127/27>>127/27 kg of sea plants.
    Tilly has gathered 127/27+21/26 = <<127/27+21/26=148/27>>148/27 kg of sea plants.
    ### Answer: 148/27

Expected answer: 397/78

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Captain Alf's boat is 4/2 = <<4/2=2>>2 nautical miles away from the island.
    The distance to the island is 17/2 = <<17/2=8.5>>8.5 nautical miles.
    The difference in their locations is 17/2 - 4/2 = <<17/2-4/2=13/2>>13/2 = <<13/2=6.5>>6.5 nautical miles.
    The tide pushes his boat off course by 14/9 = <<14/9=1.5555555555555556>>1.5555555555555556 nautical miles.
    Captain Alf's adjusted distance is 13/2 + 14/9 = <<13/2+14/9=16.333333333333332>>16.333333333333332 = <<16.333333333333332=16.333333333333332>>16.333333333333332 nautical miles.
    Captain Alf's fuel efficiency is 22/15 = <<22/15=1.4666666666666667>>1.4666666666666667 nautical miles per gallon.
    Captain Alf's fuel requirements are 16.333333333333332 * 22/15 = <<16.333333333333332*22/15=20.888888888888888>>20.888888888888888 nautical miles.
    ### Answer: 20.888888888888888

Expected answer: 319/27

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The forest ranger walked 2/18 mile less than what he walked in the morning.
    The forest ranger walked 14/3-2/18 = <<14/3-2/18=13/3>>13/3 miles in the afternoon.
    ### Answer: 13/3

Expected answer: 41/9

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Arthur practices 11/29 of an hour on the weekend.
    Arthur practices 11/29 + 20/21 = <<11/29+20/21=31/29>>31/29 hours on the weekend.
    ### Answer: 31/29

Expected answer: 811/609

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Lucas has 18/3 = <<18/3=6>>6 shirts for each sibling before.
    Lucas has 27/19 = <<27/19=1.42105263157895>>1.42105263157895 shirts for each sibling after.
    The difference is 6 - 1.42105263157895 = <<6-1.42105263157895=4.57894736842105>>4.57894736842105 shirts.
    ### Answer: 4.57894736842105

Expected answer: 87/19

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The painter started with 7+2/5 = <<7+2/5=7.4>>7.4 gallons of light blue paint.
    The painter used 18/4 = <<18/4=4.5>>4.5 gallons of light blue paint for a project.
    The painter has 7.4-4.5 = <<7.4-4.5=2.9>>2.9 gallons of light blue paint left.
    ### Answer: 2.9

Expected answer: 29/10

Correct? Yes

🔗 Follow-up

Problem: Suppose initially the painter had 24 gallons of white paint instead of 7 gallons. After mixing 2/5 gallon of blue paint with it and then using 18/4 gallons of the resulting light blue paint for a project, how many gallons of light blue paint does the painter have left now?

LLemma 34B:

     Reasoning: The painter started with 24+2/5 = <<24+2/5=24.4>>24.4 gallons of light blue paint.
    The painter used 18/4 = <<18/4=4.5>>4.5 gallons of light blue paint for a project.
    The painter has 24.4-4.5 = <<24.4-4.5=19.9>>19.9 gallons of light blue paint left.
    ### Answer: 19.9

Expected answer: 199/10

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Jayson skated for 30/20 = <<30/20=1.5>>1.5 hours on the second day.
    Jayson skated for 24/7+1.5 = <<24/7+1.5=3.5>>3.5 hours in total over the two days.
    ### Answer: 3.5

Expected answer: 69/14

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The dolphin jumped 18/3*3/4 = <<18/3*3/4=9/2>>9/2 feet.
    ### Answer: 9/2

Expected answer: 9/2

Correct? Yes

🔗 Follow-up

Problem: After observing that the dolphin managed to only jump 3/4 of his usual 18/3 feet out of the water, the trainer noted a reduction in his jumping height by 14/25 feet the next day. How high did the dolphin jump this time?

LLemma 34B:

     Reasoning: The dolphin jumped 9/2-14/25 = <<9/2-14/25=13/10>>13/10 feet.
    ### Answer: 13/10

Expected answer: 197/50

Correct? No

🔗 Follow-up

Problem: Previously, we measured the dolphin's jump when it managed to reach 3/4 of his usual height of 18/3 feet. Now let's consider a day when the dolphin jumps to an unusually high 19/4 of his normal height. If the dolphin's usual jump is 18/3 feet, how high does the dolphin jump on this particular day?

LLemma 34B:

     Reasoning: The dolphin jumps 18/3*19/4 = <<18/3*19/4=38/2>>38/2 feet.
    ### Answer: 38/2

Expected answer: 57/2

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Callie sold 20/15 + 16/22 = <<20/15+16/22=10/9+8/11=180/99+72/99=252/99>>252/99 pens for every 15 she produced last month.
    Callie sold 22/27 * 23/8 = <<22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8=22/27*23/8

Expected answer: 391/81

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The band spent 30/15 = <<30/15=2>>2 minutes on each of the 15 songs.
    The band reduced the time spent on a particular song by 1/17 of an hour, which is 1/17*60 = <<1/17*60=3.529411764705882>>3.5 minutes.
    The final duration of that song is 2-3.5 = <<2-3.5=0.5>>0.5 minutes.
    ### Answer: 0.5

Expected answer: 33/17

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Josh rode the scooter for 18+1/12 = <<

Expected answer: 3773/204

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The total number of lamps is 4/26+15/11+23/28+8/19 = <<4/26+15/11+23/28+8/19=1>>1.
    ### Answer: 1

Expected answer: 209967/76076

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: 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.
    Oliver has a kite string that is 26/19+7/11 = <<26/19+7/11=103/19>>103/19 meters long.
    Oliver uses 5/8 of this combined string.
    Oliver uses 5/8*103/19 = <<5/8*103/19=515/152>>515/152 meters of the combined string.
    ### Answer: 515/152

Expected answer: 2095/1672

Correct? No

🔗 Problem

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

LLemma 34B:

     Reasoning:

    u = 9/19 + 6/8

    u = 1/2 + 3/4

    u = 2/4 + 3/4

    u = 5/4

    j = u + 4/1

    j = 5/4 + 4/1

    j = 5/4 + 16/4

    j = 21/4

    j = 5 1/4

    ### Answer: 5 1/4

Expected answer: 397/76

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The first worker packages 26/18 = <<26/18=1.44>>1.44 pieces of chocolate in one minute.
    The second worker packages 15/15 = <<15/15=1>>1 piece of chocolate in one minute.
    The total amount of chocolate they can package in one minute is 1.44+1 = <<1.44+1=2.44>>2.44 pieces.
    ### Answer: 2.44

Expected answer: 22/9

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: Joanna washed 24/20 = <<24/20=1.2>>1.2 batches of small towels.
    Joanna washed 25/15 = <<25/15=1.6666666666666667>>1.6666666666666667 batches of large towels.
    Joanna washed 1.2+1.6666666666666667 = <<1.2+1.6666666666666667=2.8666666666666667>>2.8666666666666667 batches of towels altogether.
    ### Answer: 2.8666666666666667

Expected answer: 43/15

Correct? Yes

🔗 Follow-up

Problem: Joanna originally thought she washed 25/15 batches of large towels. However, she realized that she had actually washed 25/7 batches. Taking this into account, with the 24/20 batches of small towels she washed, how many total batches of towels did Joanna wash?

LLemma 34B:

     Reasoning: Joanna washed 24/20 = <<24/20=1.2>>1.2 batches of small towels.
    Joanna washed 25/7 = <<25/7=3.5714285714285714>>3.5714285714285714 batches of large towels.
    Joanna washed 1.2+3.5714285714285714 = <<1.2+3.5714285714285714=4.7714285714285714>>4.7714285714285714 batches of towels altogether.
    ### Answer: 4.7714285714285714

Expected answer: 167/35

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Debra has (27 / 3) / (11 / 7) = <<27/3/11/7=9/11>>9/11 cups of flour per cup of sugar.
    She has (9 / 11) - (21 / 26) = <<9/11-21/26=1/11>>1/11 cups of flour per cup of sugar.
    She has (1 / 11) + (22 / 9) = <<1/11+22/9=11/9>>11/9 cups of flour per cup of sugar.
    She has (11 / 9) * (27 / 3) = <<11/9*27/3=33>>33 cups of flour.
    ### Answer: 33

Expected answer: 18955/2574

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: The number of chickens in the first farm is 26/13 = <<26/13=2>>2 chickens.
    The number of chickens in the second farm is 9/16 = <<9/16=3/4>>3/4 chickens.
    The difference between the number of chickens in the two farms is 2-3/4 = <<2-3/4=1/4>>1/4 chickens.
    After a week, the number of chickens multiplied by 19/21 = <<19/21=3/4>>3/4 due to new chickens born.
    The number of chickens now in Farmer John's farm is 1/4*3/4 = <<1/4*3/4=3/16>>3/16 chickens.
    ### Answer: 3/16

Expected answer: 437/336

Correct? No

🔗 Problem

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'?

LLemma 34B:

     Reasoning: The helicopter flew 24/14 miles for each exercise.
    The helicopter flew 24/14 + 24/14 = <<24/14+24/14=48/14>>48/14 miles for both exercises.
    ### Answer: 48/14

Expected answer: 144/49

Correct? No

🔗 Problem

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.

LLemma 34B:

     Reasoning: The UFO was able to refill 20/16 + 24/25 = <<20/16+24/25=104/80>>104/80 of its tank.
    ### Answer: 104/80

Expected answer: 221/100

Correct? No

🔗 Problem

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?

LLemma 34B:

     Reasoning: Professor Astro finds that the sum of these two fractions is (24/27 + 30/26) = <<24/27 + 30/26=104/78>>104/78.
    ### Answer: 104/78

Expected answer: 239/117

Correct? No

🔗 Problem

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.

LLemma 34B:

     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

🔗 Follow-up

Problem: Kiki realized that she miscounted the amount of bananas she ate. Instead of eating 11/6 bananas in the morning, she actually ate 11 whole bananas in the morning and another 11 in the afternoon. Given this new information, how many bananas did Kiki eat in total?

LLemma 34B:

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

Expected answer: 22

Correct? Yes

🔗 Problem

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?

LLemma 34B:

     Reasoning: Jaden gets 26/14*28/20 = <<26/14*28/20=13/10>>13/10 gallons of milk from one cow in one day.
    ### Answer: 13/10

Expected answer: 13/5

Correct? No