Qwen2-Math 7B on 4.MD.A.2-fraction
Common Core Standard 4.MD.A.2-fraction
This standard covers the following:
Use the four operations to solve word problems involving distances, Intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Problem: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?
Qwen2-Math 7B:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4.75 dollars each day. Steve spent 4.75*8 = <<4.75*8=38>>38 dollars in total. John spent 38 dollars. John found 25 dollars. John now has 18-38+25 = <<18-38+25=5>>5 dollars. ### Answer: 5
Expected answer: 109/4
Correct? No
Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?
Qwen2-Math 7B:
Reasoning: $27/30 = <<27/30=0.9>>0.9 $45 + $0.9 = <<45+0.9=45.9>>45.9 You have $45.9 in total. ### Answer: 45.9
Expected answer: 459/10
Correct? Yes
Problem: After picking up the coin worth $27/30, you find another pile of coins. This pile of coins is worth $5/36. How much money do you have in total now?
Qwen2-Math 7B:
Reasoning: $5/36 = <<5/36=0.1388888888888889>>0.1388888888888889 $45.9 + $0.1388888888888889 = <<45.9+0.1388888888888889=46.03888888888889>>46.03888888888889 You have $46.03888888888889 in total. ### Answer: 46.03888888888889
Expected answer: 8287/180
Correct? Yes
Problem: Instead of finding a coin worth $27/30, you actually found a coin worth $43/30 when you went to the currency exchange. Now, how much money do you have in total?
Qwen2-Math 7B:
Reasoning: $43/30 = <<43/30=1.4333333333333333>>1.4333333333333333 $45 + $1.4333333333333333 = <<45+1.4333333333333333=46.433333333333336>>46.433333333333336 You have $46.433333333333336 in total. ### Answer: 46.433333333333336
Expected answer: 1393/30
Correct? No
Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?
Qwen2-Math 7B:
Reasoning: John has $17 + $8/37 = <<17+8/37=17.216216216216216>>$17.216216216216216. ### Answer: $17.216216216216216
Expected answer: 637/37
Correct? No
Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?
Qwen2-Math 7B:
Reasoning: Sally traveled 32/24 = <<32/24=1.3333333333333333>>1.3333333333333333 miles on the detour. Sally traveled 31+1.3333333333333333 = <<31+1.3333333333333333=32.333333333333332>>32.333333333333332 miles on the detour. Sally traveled 47/50 = <<47/50=0.94>>0.94 miles on the first day. Sally traveled 0.94+32.333333333333332 = <<0.94+32.333333333333332=33.27333333333333>>33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333333 miles on the first day. Sally traveled 33.27333333333
Expected answer: 67174/75
Correct? No
Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?
Qwen2-Math 7B:
Reasoning: The train travels 47 miles per hour for 4 hours, so it travels 47*4 = <<47*4=188>>188 miles in that time. ### Answer: 188
Expected answer: 188
Correct? Yes
Problem: If instead of traveling for 4 hours initially, the train had traveled for 18 hours at the same speed of 47 miles per hour, how far would the train have traveled in that time?
Qwen2-Math 7B:
Reasoning: The train travels 47 miles per hour for 18 hours, so it travels 47*18 = <<47*18=846>>846 miles in that time. ### Answer: 846
Expected answer: 846
Correct? Yes
Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?
Qwen2-Math 7B:
Reasoning: The truck can travel 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, the total distance the truck can travel before running out of fuel is 34/25 + 11 = <<34/25+11=149/25>>149/25 kilometers. If an additional 49 kilometers are added to the journey, the total distance then would be 149/25 + 49 = <<149/25+49=149/25+1225/25=1374/25>>1374/25 kilometers. ### Answer: 1374/25
Expected answer: 1534/25
Correct? No
Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?
Qwen2-Math 7B:
Reasoning: John's speed after consuming the energy drink is 4/22 + 50/49 = <<4/22+50/49=100/49>>100/49 miles per hour. The distance he would jog is (100/49) * (46/30) = <<(100/49)*(46/30)=190/21>>190/21 miles. ### Answer: 190/21 miles
Expected answer: 4968/2695
Correct? No
Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?
Qwen2-Math 7B:
Reasoning: The truck driver starts with 9 gallons of gas. He adds 21/36 gallons of gas, which is equivalent to <<21/36=0.5833>>0.5833 gallons. He then adds 26/42 gallons of gas, which is equivalent to <<26/42=0.6190>>0.6190 gallons. In total, the truck driver has 9+0.5833+0.6190 = <<9+0.5833+0.6190=10.2023>>10.2023 gallons of gas in his tank. ### Answer: 10.2023
Expected answer: 857/84
Correct? No
Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?
Qwen2-Math 7B:
Reasoning: John has 6+47/8 = <<6+47/8=79/8>>79/8 dollars in total. ### Answer: 79/8
Expected answer: 95/8
Correct? No
Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?
Qwen2-Math 7B:
Reasoning: Matthew has $29-$5 = <<29-5=24>>24 dollars after buying the toy. Matthew has $24+$8 = <<24+8=32>>32 dollars now. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
Qwen2-Math 7B:
Reasoning: 9 barrels of oil cost 9*<<16>>16 = <<9*16=144>>144 dollars in total. ### Answer: 144
Expected answer: 144
Correct? Yes
Problem: If the cost of a barrel of oil increases to $30, how much would it now cost for the refinery to buy the same 9 barrels of oil?
Qwen2-Math 7B:
Reasoning: 9 barrels of oil now cost 9*<<30>>30 = <<9*30=270>>270 dollars in total. ### Answer: 270
Expected answer: 270
Correct? Yes
Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?
Qwen2-Math 7B:
Reasoning: Amy's garden will be 11+30 = <<11+30=41>>41 feet long after the first expansion. After the second expansion, the garden will be 41+30/13 = <<41+30/13=41+2.3076923076923077>>43.307692307692307 feet long. ### Answer: 43.307692307692307
Expected answer: 563/13
Correct? Yes
Problem: Instead of having an initial length of 11 feet, let's say Amy's garden was originally 37 feet long. How long will the garden be if she still plans to extend it by 30 feet and further extend it by the length equivalent to 30 divided by 13 feet?
Qwen2-Math 7B:
Reasoning: Amy's garden will be 37+30 = <<37+30=67>>67 feet long after the first expansion. After the second expansion, the garden will be 67+30/13 = <<67+30/13=67+2.3076923076923077>>69.307692307692307 feet long. ### Answer: 69.307692307692307
Expected answer: 901/13
Correct? Yes
Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?
Qwen2-Math 7B:
Reasoning: The supermarket is (17 / 3) - (25 / 41) = <<(17 / 3) - (25 / 41)=1.5232558139534884>>1.5232558139534884 miles from John's work.
Expected answer: 622/123
Correct? No
Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?
Qwen2-Math 7B:
Reasoning: The bank initially has $12. After receiving an additional $36, the bank has $12 + $36 = <<12+36=48>>48. After paying out $8, the bank has $48 - $8 = <<48-8=40>>40. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following the previous scenario, suppose the bank received an uncommon payment of $19/11. How much money does the bank have now in one-dollar bills after this unusual deposit?
Qwen2-Math 7B:
Reasoning: The bank initially has $40. After receiving an additional $19/11, the bank has $40 + $19/11 = <<40+19/11=40+1.7272727272727273>>41.7272727272727273. ### Answer: 41.7272727272727273
Expected answer: 459/11
Correct? Yes
Problem: Following the previous scenario, suppose the bank had originally started with $12 in one-dollar bills. But this time, they received a smaller deposit of $22 instead of $36. After paying out the same $8, how much would the bank now have in one-dollar bills in this revised situation?
Qwen2-Math 7B:
Reasoning: The bank initially has $12. After receiving an additional $22, the bank has $12 + $22 = <<12+22=34>>34. After paying out $8, the bank has $34 - $8 = <<34-8=26>>26. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?
Qwen2-Math 7B:
Reasoning: Samantha has $28 + <<46/41=1.121951219512195>>1.121951219512195 dollars now in her bank account. ### Answer: $29.121951219512195
Expected answer: 1194/41
Correct? No
Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?
Qwen2-Math 7B:
Reasoning: James's little brother gave him 14/19 of a dollar, which is approximately $0.74. James now has $37 + $0.74 = <<37+0.74=37.74>>$37.74. ### Answer: $37.74
Expected answer: 717/19
Correct? No
Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?
Qwen2-Math 7B:
Reasoning: Sophia spends 40/28 = <<40/28=1.4285714285714286>>1.4285714285714286 dollars every day for her fuel. ### Answer: 1.4285714285714286
Expected answer: 10/7
Correct? Yes
Problem: Sophia revises her budget and decides to spend only 40 dollars every 3 days for car maintenance instead of 45 dollars. How much does Sophia now spend each day for her car's maintenance?
Qwen2-Math 7B:
Reasoning: Sophia spends 40/3 = <<40/3=13.333333333333334>>13.333333333333334 dollars every day for her car's maintenance. ### Answer: 13.333333333333334
Expected answer: 40/3
Correct? Yes
Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?
Qwen2-Math 7B:
Reasoning: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts, so each part is 50/17 = <<50/17=2.9411764705882353>>2.9411764705882353 ounces. He then takes the juice from one part and pours it into a container, so there is 2.9411764705882353 ounces in the container. He then takes 34/44 of what is in that container and pours it into another container, so there is (34/44) * 2.9411764705882353 = <<(34/44)*2.9411764705882353=2.222222222222222>>2.222222222222222 ounces in the second container. ### Answer: 2.222222222222222
Expected answer: 25/11
Correct? No
Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?
Qwen2-Math 7B:
Reasoning: John needs to save $40 - $29 = <<40-29=11>>11 more dollars. Every week, John saves 20/48 of the remaining amount, which is 20/48 * $11 = <<20/48*11=2.7083333333333335>>$2.71 (rounded to the nearest cent). After a year, the investment will grow by 41/11 times the amount invested, so John will have $2.71 * 41/11 = <<2.71*41/11=10.036363636363637>>$10.04 (rounded to the nearest cent) in his investment account. ### Answer: 10.04
Expected answer: 205/12
Correct? No
Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?
Qwen2-Math 7B:
Reasoning: Maria has 13/3 - 32/15 = <<13/3-32/15=13/15>>13/15 euros left. Maria has <<13/15>>13/15 euros left. ### Answer: 13/15
Expected answer: 11/5
Correct? No
Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?
Qwen2-Math 7B:
Reasoning: 20 pieces of lumber would be 20 * 45/44 = <<20*45/44=900/44>>900/44 meters long. ### Answer: 900/44 meters
Expected answer: 225/11
Correct? Yes
Problem: Continuing from the previous problem, if the carpenter decided to cut each resulting piece again into 25/34 meter pieces, how long would 20 pieces of this newly cut lumber be in total?
Qwen2-Math 7B:
Reasoning: 20 pieces of the newly cut lumber would be 20 * 25/34 = <<20*25/34=500/34>>500/34 meters long. ### Answer: 500/34 meters
Expected answer: 5625/374
Correct? No
Problem: In the previous scenario, instead of having each piece of lumber measured at 45/44 meters, what if the carpenter decided to cut each piece of lumber into pieces that are each 45/31 meters long. How long would 20 pieces of such lumber be in total?
Qwen2-Math 7B:
Reasoning: 20 pieces of lumber would be 20 * 45/31 = <<20*45/31=900/31>>900/31 meters long. ### Answer: 900/31 meters
Expected answer: 900/31
Correct? Yes
Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?
Qwen2-Math 7B:
Reasoning: The sprinter covers 34/14 = <<34/14=2.4285714285714286>>2.4285714285714286 miles per hour in the first part. The sprinter covers 21/26 = <<21/26=0.8076923076923077>>0.8076923076923077 miles per hour in the second part. The sprinter covers 2.4285714285714286 + 0.8076923076923077 = <<2.4285714285714286+0.8076923076923077=3.236263736263736>>3.236263736263736 miles per hour from both parts together. ### Answer: 3.236263736263736
Expected answer: 589/182
Correct? No
Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?
Qwen2-Math 7B:
Reasoning: Tom has $30+14+25 = <<30+14+25=70>>70 dollars now. ### Answer: 70
Expected answer: 69
Correct? No
Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?
Qwen2-Math 7B:
Reasoning: Jenny ran 41/32 + 11/4 = <<41/32+11/4=105/32>>105/32 miles in total. ### Answer: 105/32
Expected answer: 129/32
Correct? No
Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?
Qwen2-Math 7B:
Reasoning: John had $32 in his wallet and found a $33 bill on the floor. Therefore, John now has $32 + $33 = <<32+33=65>>$65. ### Answer: $65
Expected answer: 65
Correct? Yes
Problem: Suppose that initially, John only had $3 in his wallet instead of $32 before he found the $33 bill. How much money would John have had in that case before buying the video game?
Qwen2-Math 7B:
Reasoning: If John had $3 in his wallet before finding the $33 bill, he would have had $3 + $33 = <<3+33=36>>$36 before buying the video game. ### Answer: $36
Expected answer: 36
Correct? Yes
Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?
Qwen2-Math 7B:
Reasoning: Carrie rode her bike for 7+38/25 = <<7+38/25=203/25>>203/25 hours. Carrie covered 35*203/25 = <<35*203/25=2842/25>>2842/25 kilometers in total. ### Answer: 2842/25
Expected answer: 1491/5
Correct? No
Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?
Qwen2-Math 7B:
Reasoning: John saved $17 in January and $10 in February. John saved $17+$10 = <<17+10=27>>27 in total after February. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: In March, John saved an additional $14. How much money does he have in total after saving in March?
Qwen2-Math 7B:
Reasoning: John saved $27 in total after February and $14 in March. John saved $27+$14 = <<27+14=41>>41 in total after saving in March. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
Qwen2-Math 7B:
Reasoning: John saved $28 in January and $10 in February. John saved $28+$10 = <<28+10=38>>38 in total after February. ### Answer: 38
Expected answer: 38
Correct? Yes
Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?
Qwen2-Math 7B:
Reasoning: The car traveled 41 * (20/11) = <<41*(20/11)=74.54545454545454>>74.54545454545454 miles during this trip. ### Answer: 74.54545454545454
Expected answer: 820/11
Correct? Yes
Problem: Suppose the car was actually traveling at a speed of 30 miles per hour instead of 41 miles per hour on the same trip that lasts 20/11 hours. How far did the car travel on this trip with the updated speed?
Qwen2-Math 7B:
Reasoning: The car traveled 30 * (20/11) = <<30*(20/11)=54.54545454545454>>54.54545454545454 miles on this trip with the updated speed. ### Answer: 54.54545454545454
Expected answer: 600/11
Correct? No
Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?
Qwen2-Math 7B:
Reasoning: Tony spent 38*21 = <<38*21=798>>798 dollars in total on his book collection. ### Answer: 798
Expected answer: 798
Correct? Yes
Problem: In the previous problem, we considered that Tony has 38 books, each costing him 21 dollars. Now, consider that Tony actually spent 24 dollars on each book. How much money did Tony spend in total on his book collection now?
Qwen2-Math 7B:
Reasoning: Tony spent 38*24 = <<38*24=912>>912 dollars in total on his book collection. ### Answer: 912
Expected answer: 912
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?
Qwen2-Math 7B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. If he drives continuously for 19 hours, the car would use 16*19 = <<16*19=304>>304 liters of gas. ### Answer: 304
Expected answer: 304
Correct? Yes
Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours? If Johnnie already had 17 liters of gas in his tank before starting the journey, how many more liters does he need to complete his drive?
Qwen2-Math 7B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. If he drives continuously for 19 hours, the car would use 16*19 = <<16*19=304>>304 liters of gas. If Johnnie already had 17 liters of gas in his tank before starting the journey, he would need 304-17 = <<304-17=287>>287 more liters to complete his drive. ### Answer: 304, 287
Expected answer: 287
Correct? No
Problem: Johnnie's car uses 16 liters of gas every hour. In the previous problem, he was planning to drive for 19 hours. However, what if he is now planning to drive continuously for 39 hours instead? How many liters of gas would he need then?
Qwen2-Math 7B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. If he drives continuously for 39 hours, the car would use 16*39 = <<16*39=624>>624 liters of gas. ### Answer: 624
Expected answer: 624
Correct? Yes
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
Qwen2-Math 7B:
Reasoning: Joe distributed 40 pamphlets each day. So, on day 19, he distributed 40*19 = <<40*19=760>>760 pamphlets in total. ### Answer: 760
Expected answer: 760
Correct? Yes
Problem: After distributing pamphlets for 19 days, Joe realizes he made a mistake and had to destroy 5 of the pamphlets initially considered distributed. How many pamphlets has Joe actually distributed after accounting for this error?
Qwen2-Math 7B:
Reasoning: Joe initially distributed 760 pamphlets. After realizing the mistake, he had to destroy 5 pamphlets. So, he has actually distributed 760-5 = <<760-5=755>>755 pamphlets after accounting for the error. ### Answer: 755
Expected answer: 755
Correct? Yes
Problem: Joe initially thought that he was supposed to distribute 40 pamphlets each day. However, he was actually supposed to distribute 27 pamphlets daily. Therefore, how many pamphlets should he have distributed after 19 days, excluding the ones he incorrectly distributed and had to destroy?
Qwen2-Math 7B:
Reasoning: Joe was supposed to distribute 27 pamphlets each day. So, after 19 days, he should have distributed 27*19 = <<27*19=513>>513 pamphlets in total. ### Answer: 513
Expected answer: 513
Correct? Yes
Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?
Qwen2-Math 7B:
Reasoning: The farmer has 42-49/4 = <<42-49/4=161/4>>161/4 acres of land that was not fallow. The farmer harvests 16/5 * 161/4 = <<16/5*161/4=644/5>>644/5 bushels of corn from the land that was not fallow. ### Answer: 644/5
Expected answer: 476/5
Correct? No
Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?
Qwen2-Math 7B:
Reasoning: Jennifer receives 31/34 * 21 = <<31/34*21=18.9>>18.9 gallons of lemonade after selling a full jug. ### Answer: 18.9
Expected answer: 651/34
Correct? No
Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?
Qwen2-Math 7B:
Reasoning: Jane cycles 11*45 = <<11*45=495>>495 km in 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. Therefore, Jane cycles 495+1 = <<495+1=496>>496 km in total. ### Answer: 496
Expected answer: 496
Correct? Yes
Problem: After cycling the total distance as calculated earlier, Jane realizes she needs to get an object that is 30 km back from her current location. How many kilometers is the object from her starting point?
Qwen2-Math 7B:
Reasoning: Jane cycles 496 km in total. After cycling the total distance, Jane realizes she needs to get an object that is 30 km back from her current location. Therefore, the object is 496-30 = <<496-30=466>>466 km from her starting point. ### Answer: 466
Expected answer: 466
Correct? Yes
Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?
Qwen2-Math 7B:
Reasoning: George found $21/39 = <<21/39=0.5384615384615385>>0.5384615384615385 of a dollar. George now has $21 + $0.5384615384615385 = <<21+0.5384615384615385=21.538461538461538>>21.538461538461538 dollars. ### Answer: 21.538461538461538
Expected answer: 280/13
Correct? No
Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?
Qwen2-Math 7B:
Reasoning: John biked 46+41 = <<46+41=87>>87 miles in total. ### Answer: 87
Expected answer: 87
Correct? Yes
Problem: After cycling a total of 46 + 41 miles, John realized that he had miscounted. Instead of cycling 46 miles to the town of Baker, he had actually cycled only 8 miles. How many total miles did John bike when he reached the town of Nelson?
Qwen2-Math 7B:
Reasoning: John biked 8+41 = <<8+41=49>>49 miles in total. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?
Qwen2-Math 7B:
Reasoning: John earns 4*9 = <<4*9=36>>36 dollars in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: If John and his siblings each earn 4 dollars per hour but instead of working for 9 hours they worked for 39 hours, how much does each person earns individually?
Qwen2-Math 7B:
Reasoning: Each person earns 4*39 = <<4*39=156>>156 dollars individually. ### Answer: 156
Expected answer: 156
Correct? Yes
Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?
Qwen2-Math 7B:
Reasoning: Jack earned 41/48 of a dollar from recycling cans, which is equal to <<41/48=0.8541666666666666>>0.8541666666666666 dollars. The next day, Jack found a quarter, which is equal to 23/24 of a dollar, or <<23/24=0.9583333333333333>>0.9583333333333333 dollars. In total, Jack has 38 + 0.8541666666666666 + 0.9583333333333333 = <<38+0.8541666666666666+0.9583333333333333=39.8125>>39.8125 dollars. ### Answer: 39.8125
Expected answer: 637/16
Correct? Yes
Problem: Following from the previous scenario, if Jack then had to pay 3/45 of a dollar for bus fare, how much money does he have left?
Qwen2-Math 7B:
Reasoning: Jack had 39.8125 dollars, and he paid 3/45 of a dollar for bus fare, which is equal to <<3/45=0.06666666666666667>>0.06666666666666667 dollars. After paying for the bus fare, Jack has 39.8125 - 0.06666666666666667 = <<39.8125-0.06666666666666667=39.74583333333333>>39.74583333333333 dollars left. ### Answer: 39.74583333333333
Expected answer: 9539/240
Correct? Yes
Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?
Qwen2-Math 7B:
Reasoning: Jenny's speed increased to 32/24 * 43/15 = <<32/24*43/15=1376/360>>1376/360 miles per hour. Jenny could travel 29 * 1376/360 = <<29*1376/360=10336/360>>10336/360 miles. ### Answer: 10336/360
Expected answer: 4988/45
Correct? No
Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?
Qwen2-Math 7B:
Reasoning: The total amount of paint distributed to all the students is 32 * 16/31 = <<32*16/31=51.61290322580645>>51.61290322580645 litres. ### Answer: 51.61290322580645
Expected answer: 512/31
Correct? No
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?
Qwen2-Math 7B:
Reasoning: Bob has $3 + $3/7 = <<3+3/7=24/7>>$24/7. Bob has $24/7 in total. ### Answer: $24/7
Expected answer: 24/7
Correct? Yes
Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. The next day, his grandmother sends him some additional money, exactly 29/47 of a dollar. How much money does Bob have in total now?
Qwen2-Math 7B:
Reasoning: Bob has $3 + $3/7 + $29/47 = <<3+3/7+29/47=141/47>>$141/47. Bob has $141/47 in total. ### Answer: $141/47
Expected answer: 1331/329
Correct? No
Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?
Qwen2-Math 7B:
Reasoning: The total time Tom spent moving rocks is 20/50 + 45/36 = <<20/50+45/36=1.0555555555555556>>1.0555555555555556 hours. The distance Tom moved the rocks is 25/22 * 1.0555555555555556 = <<25/22*1.0555555555555556=1.1818181818181817>>1.1818181818181817 miles. ### Answer: 1.1818181818181817
Expected answer: 15/8
Correct? No
Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?
Qwen2-Math 7B:
Reasoning: The scientist initially has 10/42 + 32 = <<10/42+32=32.23809523809524>>32.23809523809524 liters of the mixture. After removing 4/28 liters, the remaining mixture is 32.23809523809524 - 4/28 = <<32.23809523809524-4/28=31.92857142857143>>31.92857142857143 liters. The scientist then extracts 11/29 of the remaining mixture, which is 11/29 * 31.92857142857143 = <<11/29*31.92857142857143=11.310344827586207>>11.310344827586207 liters. ### Answer: 11.310344827586207
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
Qwen2-Math 7B:
Reasoning: The factory produces 24*25 = <<24*25=600>>600 chairs in 25 hours. ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: One day, the factory decides to increase its production and manufactures 24 chairs per hour for 39 hours instead of the regular 25 hours. How many chairs would be produced in these 39 hours?
Qwen2-Math 7B:
Reasoning: The factory produces 24*39 = <<24*39=936>>936 chairs in 39 hours. ### Answer: 936
Expected answer: 936
Correct? Yes
Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?
Qwen2-Math 7B:
Reasoning: The total amount of juice is 23/35 + 50/41 = <<23/35+50/41=1.92>>1.92 gallons. After subtracting 11/19 gallon, the remaining amount of juice is 1.92 - 11/19 = <<1.92-11/19=1.71>>1.71 gallons. The space left in the bottle is 28 - 1.71 = <<28-1.71=26.29>>26.29 gallons. ### Answer: 26.29
Expected answer: 696468/27265
Correct? No
Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?
Qwen2-Math 7B:
Reasoning: The additional fee for a custom design is $6/26 = <<6/26=0.23076923076923078>>0.23076923076923078. The total cost for a regular cake with a custom design is $47 + $0.23076923076923078 = <<47+0.23076923076923078=47.23076923076923>>47.23076923076923. ### Answer: 47.23076923076923
Expected answer: 614/13
Correct? Yes
Problem: After buying the custom-designed cake from the bakery, the customer decides to purchase an additional set of cupcakes that costs $14. Given that the cost of the cake is $47 with an additional design fee of $6 divided by the 26 available designs, what is the total amount spent on baked goods at the bakery?
Qwen2-Math 7B:
Reasoning: The cost of the custom-designed cake is $47 + $6/26 = <<47+6/26=47.23076923076923>>47.23076923076923. The total amount spent on baked goods is $47.23076923076923 + $14 = <<47.23076923076923+14=61.23076923076923>>61.23076923076923. ### Answer: 61.23076923076923
Expected answer: 796/13
Correct? Yes
Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?
Qwen2-Math 7B:
Reasoning: The drone can fly 3 - (50 / 43) = <<3-(50/43)=1.0697674418604651>>1.0697674418604651 kilometers with the package. With the additional booster, the drone can fly 1.0697674418604651 + (47 / 15) = <<1.0697674418604651+(47/15)=3.1333333333333335>>3.1333333333333335 kilometers. ### Answer: 3.1333333333333335
Expected answer: 3206/645
Correct? No
Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?
Qwen2-Math 7B:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18+22/9=107/18>>107/18 kilometers in a day. ### Answer: 107/18
Expected answer: 29/6
Correct? No
Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?
Qwen2-Math 7B:
Reasoning: The car can travel 36 miles per gallon. With a 19-gallon tank, the car can travel 36*19 = <<36*19=684>>684 miles without needing to refuel. ### Answer: 684
Expected answer: 684
Correct? Yes
Problem: The car had previously been calculated to travel 36 miles per gallon over 19 gallons. However, the measurement turned out to be incorrect and it was actually 50 miles per gallon over the same 19 gallons fuel. What would be the total distance the car could travel on a full tank with this new mileage measurement?
Qwen2-Math 7B:
Reasoning: With the new measurement of 50 miles per gallon, the car can travel 50*19 = <<50*19=950>>950 miles on a full tank. ### Answer: 950
Expected answer: 950
Correct? Yes
Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?
Qwen2-Math 7B:
Reasoning: John drove 18 miles each hour for 36 hours, which is 18*36 = <<18*36=648>>648 miles. After that, he drove an extra distance of 32/45 miles, which is approximately 0.71 miles. Therefore, John drove a total of 648 + 0.71 = <<648+0.71=648.71>>648.71 miles. ### Answer: 648.71
Expected answer: 29192/45
Correct? No
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
Qwen2-Math 7B:
Reasoning: The car will travel 40 / 31 * 10 = <<40 / 31 * 10=12.903225806451613>>12.903225806451613 miles in 10 minutes. ### Answer: 12.903225806451613
Expected answer: 400/31
Correct? No
Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?
Qwen2-Math 7B:
Reasoning: John has 21+11 = <<21+11=32>>32 dollars now. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: John has 21 dollars and his mom gives him 11 dollars more. Now, John's dad matches whatever amount John has. How much money does John's dad give him?
Qwen2-Math 7B:
Reasoning: John's dad gives him 32 dollars. ### Answer: 32
Expected answer: 32
Correct? Yes
Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?
Qwen2-Math 7B:
Reasoning: Samuel has $17 + $30 = <<17+30=47>>47. $47 is equivalent to 33 Euros. Therefore, Samuel will have 33 Euros. ### Answer: 33
Expected answer: 2209/33
Correct? No
Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?
Qwen2-Math 7B:
Reasoning: Hannah has 5*34 = <<5*34=170>>170 coins in total. ### Answer: 170
Expected answer: 170
Correct? Yes
Problem: Initially, Hannah thought she had 5 piggy banks with 34 coins each. Upon recounting, she finds that she actually has 5 piggy banks with 27 coins each. How many coins does she have in the piggy banks after correcting her count?
Qwen2-Math 7B:
Reasoning: Hannah has 5*27 = <<5*27=135>>135 coins in the piggy banks after correcting her count. ### Answer: 135
Expected answer: 135
Correct? Yes
Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?
Qwen2-Math 7B:
Reasoning: Alex has $13/10 + $47/36 = <<13/10+47/36=101/36>>$101/36 in his pocket. If he duplicates the amount of money he has by 43 times, he will have 43 * $101/36 = <<43*101/36=1163/36>>$1163/36. ### Answer: 1163/36
Expected answer: 20167/180
Correct? No
Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?
Qwen2-Math 7B:
Reasoning: John had 20 dollars and lost 19 dollars. John left 20-19 = <<20-19=1>>1 dollar. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Suppose that John originally had saved 26 dollars, but still lost 19 dollars. Now, how much money would he have left?
Qwen2-Math 7B:
Reasoning: John had 26 dollars and lost 19 dollars. John left 26-19 = <<26-19=7>>7 dollars. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?
Qwen2-Math 7B:
Reasoning: Richard drank 33/48 of the wine, which is <<33/48=0.6875>>0.6875 ounces. He drank 26/30 of a liter of orange juice, which is <<26/30=0.8667>>0.8667 liters. He drank 2/36 of a liter of water, which is <<2/36=0.0556>>0.0556 liters. The total volume of the liquid he consumed is 0.6875 + 0.8667 + 0.0556 = <<0.6875+0.8667+0.0556=1.6098>>1.6098 liters. ### Answer: 1.6098
Expected answer: 16999/720
Correct? No
Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?
Qwen2-Math 7B:
Reasoning: Jacob has $43+46 = <<43+46=89>>89 in his savings account after adding $46. Jacob has $89+27/9 = <<89+27/9=92>>92 in his savings account after receiving an additional $27/9 from his aunt. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: In continuation of the above, Jacob now decides to purchase a new video game that costs $25. After purchasing the video game, what is the new balance in his savings account?
Qwen2-Math 7B:
Reasoning: Jacob has $92-25 = <<92-25=67>>67 in his savings account after purchasing the video game. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?
Qwen2-Math 7B:
Reasoning: Jacob has $35-$22 = <<35-22=13>>13 left on his gift card after buying the toy. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: Following up on Jacob's purchase, his grandmother gives him $36 more to add to his remaining gift card balance. How much money does Jacob now have on his gift card after receiving money from his grandmother?
Qwen2-Math 7B:
Reasoning: Jacob now has $13+$36 = <<13+36=49>>49 on his gift card after receiving money from his grandmother. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Considering a variation on the previous problem, suppose Jacob initially had $35 on his gift card, but this time he decides to buy a game that costs $15 instead of the toy. How much money would he have left on his gift card after this purchase?
Qwen2-Math 7B:
Reasoning: Jacob has $35-$15 = <<35-15=20>>20 left on his gift card after buying the game. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?
Qwen2-Math 7B:
Reasoning: James spent 36/5 = <<36/5=7.2>>7.2 dollars on a notepad. James has 32-7.2 = <<32-7.2=24.8>>24.8 dollars left after his purchase. ### Answer: 24.8
Expected answer: 124/5
Correct? Yes
Problem: In the original problem, James spent 36/5 dollars on a notepad. What if he spent less on the notepad? If James initially had 32 dollars and spent 20/5 dollars on the notepad instead, how much money would he have left?
Qwen2-Math 7B:
Reasoning: James spent 20/5 = <<20/5=4>>4 dollars on a notepad. James has 32-4 = <<32-4=28>>28 dollars left after his purchase. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?
Qwen2-Math 7B:
Reasoning: Tina paid 39 * (16/26) = <<39*(16/26)=24>>24 dollars for the groceries. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After checking her receipts carefully, Tina realized she had made another mistake. Instead of paying 16/26 of the original amount, she had actually paid 42/26. How much did she really end up paying for her groceries?
Qwen2-Math 7B:
Reasoning: Tina paid 39 * (42/26) = <<39*(42/26)=63>>63 dollars for the groceries. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?
Qwen2-Math 7B:
Reasoning: Jaden will have $19 + $10 = <<19+10=29>>29 in his savings account. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.
Qwen2-Math 7B:
Reasoning: John consumes 17 pounds of apples every 8 days, which is equivalent to 17/8 = <<17/8=2.125>>2.125 pounds of apples per day. John consumes 48 ounces of apple juice every 42 days, which is equivalent to 48/42 = <<48/42=1.142857142857143>>1.142857142857143 ounces of apple juice per day. The rate of John's apple to apple juice consumption is 2.125 pounds of apples per day to 1.142857142857143 ounces of apple juice per day. ### Answer: 2.125 pounds of apples per day to 1.142857142857143 ounces of apple juice per day
Expected answer: 119/64
Correct? No
Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?
Qwen2-Math 7B:
Reasoning: Maria drove 8 * 4/7 = <<8*4/7=32/7>>32/7 miles in the first trip. Maria spent 50/4 = <<50/4=12.5>>12.5 dollars on gas. Maria had 38 - 12.5 = <<38-12.5=25.5>>25.5 dollars left for gas. The total miles Maria drove is 32/7 miles. The remaining amount of money Maria had for gas is 25.5 dollars. ### Answer: 32/7 miles + 25.5 dollars
Expected answer: 421/14
Correct? No
Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?
Qwen2-Math 7B:
Reasoning: The runner runs 17 miles each day for 49 days, so they will have run 17*49 = <<17*49=833>>833 miles in total. ### Answer: 833
Expected answer: 833
Correct? Yes
Problem: The runner, still training for the marathon, now chooses a different route that is 37 miles long and runs this route for 17 days. How many miles will they have run after completing this new route for 17 days?
Qwen2-Math 7B:
Reasoning: The runner runs 37 miles each day for 17 days, so they will have run 37*17 = <<37*17=629>>629 miles in total. ### Answer: 629
Expected answer: 629
Correct? Yes
Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?
Qwen2-Math 7B:
Reasoning: The toy car can now travel 37 + 33/40 = <<37+33/40=37.825>>37.825 kilometers on a single tank of fuel after the modification. ### Answer: 37.825
Expected answer: 1513/40
Correct? Yes
Problem: The toy car with the modification from the previous problem can travel on different surfaces. On an uphill road, the car can travel an additional 45/29 kilometers on a single tank of fuel. What is the total distance the toy car can now travel on a single tank of fuel on an uphill road after both modifications?
Qwen2-Math 7B:
Reasoning: The toy car can now travel 37.825 + 45/29 = <<37.825+45/29=40.025>>40.025 kilometers on a single tank of fuel on an uphill road after both modifications. ### Answer: 40.025
Expected answer: 45677/1160
Correct? No
Problem: The toy car was originally capable of traveling 37 kilometers on a single tank of fuel. However, after a certain modification, the toy car can now travel an additional 33/38 of a kilometer rather than 33/40 kilometers as initially stated. What is the total distance the toy car can now travel on a single tank of fuel after this modified alteration?
Qwen2-Math 7B:
Reasoning: The toy car can now travel 37 + 33/38 = <<37+33/38=37.868421052631575>>37.868421052631575 kilometers on a single tank of fuel after the modified alteration. ### Answer: 37.868421052631575
Expected answer: 1439/38
Correct? No
Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?
Qwen2-Math 7B:
Reasoning: John traveled for 1/31 + 30/12 = <<1/31+30/12=31/31+30/31=61/31>>61/31 hours. After taking a short break of 17/4 hours, John was on the move for 61/31 - 17/4 = <<61/31-17/4=61/124-17/124=44/124>>44/124 hours. ### Answer: 44/124
Expected answer: 841/124
Correct? No
Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?
Qwen2-Math 7B:
Reasoning: The donkey reduces the distance by 18/33 miles every hour. After 1 hour, the effective distance of the well from the village is 45 - 18/33 = <<45-18/33=44.545454545454544>>44.545454545454544 miles. ### Answer: 44.545454545454544
Expected answer: 489/11
Correct? No
Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
Qwen2-Math 7B:
Reasoning: Clara had 30-25/6 = <<30-25/6=155/6>>155/6 dollars remaining after buying the ice cream. Clara spent 155/6 * 11/21 = <<155/6*11/21=1705/126>>1705/126 dollars on the book. ### Answer: 1705/126
Expected answer: 1705/126
Correct? Yes
Problem: Suppose Clara initially had 27 dollars instead of 30. She spent 25/6 dollars on ice cream and then used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?
Qwen2-Math 7B:
Reasoning: Clara had 27-25/6 = <<27-25/6=137/6>>137/6 dollars remaining after buying the ice cream. Clara spent 137/6 * 11/21 = <<137/6*11/21=1507/126>>1507/126 dollars on the book. ### Answer: 1507/126
Expected answer: 1507/126
Correct? Yes
Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?
Qwen2-Math 7B:
Reasoning: John walked 10 miles every day for 2 weeks, which is 10*14 = <<10*14=140>>140 miles. John still needed to walk an additional 21 miles to reach his destination. John had to walk 140+21 = <<140+21=161>>161 miles in total. ### Answer: 161
Expected answer: 161
Correct? Yes
Problem: In the previous journey, John decided to increase his daily walking distance. He walked for 14 miles instead of 10 each day for seven weeks. After the seven weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk this time to reach his destination?
Qwen2-Math 7B:
Reasoning: John walked 14 miles every day for 7 weeks, which is 14*7*7 = <<14*7*7=686>>686 miles. John still needed to walk an additional 21 miles to reach his destination. John had to walk 686+21 = <<686+21=707>>707 miles this time to reach his destination. ### Answer: 707
Expected answer: 707
Correct? Yes
Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?
Qwen2-Math 7B:
Reasoning: The toy cost is 18+41/14 = <<18+41/14=25.714285714285715>>25.714285714285715 dollars. Susan has 48-25.714285714285715 = <<48-25.714285714285715=22.285714285714285>>22.285714285714285 dollars left after buying the toy. ### Answer: 22.285714285714285
Expected answer: 379/14
Correct? No
Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?
Qwen2-Math 7B:
Reasoning: Jamie now has 47+47/41 = <<47+47/41=47.117073170731707>>47.117073170731707 dollars in her bank account. ### Answer: 47.117073170731707
Expected answer: 1974/41
Correct? No
Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?
Qwen2-Math 7B:
Reasoning: Walter had 23/21 + 46 = <<23/21+46=47.14285714285714>>47.14285714285714 dollars originally. ### Answer: 47.14285714285714
Expected answer: 989/21
Correct? No
Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?
Qwen2-Math 7B:
Reasoning: The farmer harvests 44/10 * 37 = <<44/10*37=162.8>>162.8 kilograms of honey in a day. The farmer sells 162.8 * 3/37 = <<162.8*3/37=12>>12 kilograms of honey.
Expected answer: 66/5
Correct? No
Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?
Qwen2-Math 7B:
Reasoning: Jessica earns 29 dollars per hour, and she works for 14 hours. Jessica will have earned 29*14 = <<29*14=406>>406 dollars. ### Answer: 406
Expected answer: 406
Correct? Yes
Problem: Jessica considers working more hours and renegotiates her hourly wage to 40 dollars per hour. If she still works for 14 hours, how much money will she have earned now?
Qwen2-Math 7B:
Reasoning: Jessica earns 40 dollars per hour, and she works for 14 hours. Jessica will have earned 40*14 = <<40*14=560>>560 dollars. ### Answer: 560
Expected answer: 560
Correct? Yes
Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?
Qwen2-Math 7B:
Reasoning: Tim will have consumed 41/39 * 47 = <<41/39*47=47/39>>47/39 litres of fuel. ### Answer: 47/39
Expected answer: 1927/39
Correct? No
Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?
Qwen2-Math 7B:
Reasoning: The cargo ship carries 17/26 tons of cargo for every one of its 39 containers, so it carries 17/26 * 39 = <<17/26*39=21.5>>21.5 tons of cargo. The cargo ship already has an existing cargo load of 50/11 tons, so the total tonnage of the cargo on the ship after it loads all 39 containers is 50/11 + 21.5 = <<50/11+21.5=26.5>>26.5 tons. ### Answer: 26.5
Expected answer: 661/22
Correct? No
Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?
Qwen2-Math 7B:
Reasoning: Jessie has $34 + $20 = <<34+20=54>>54. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: Jessie decides to save her money for 13 weeks. Each week, she saves an amount equal to the sum of her initial savings and the money she received from her grandma. How much money does she save in total after 13 weeks?
Qwen2-Math 7B:
Reasoning: Jessie saves $54 + $54 = <<54+54=108>>108 each week. After 13 weeks, she saves 13 * $108 = <<13*108=1404>>1404. ### Answer: 1404
Expected answer: 702
Correct? No
Problem: Instead of starting with $34, suppose Jessie initially had $45 in savings. She still receives $20 from her grandma. How much money does she have now?
Qwen2-Math 7B:
Reasoning: Jessie has $45 + $20 = <<45+20=65>>65. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?
Qwen2-Math 7B:
Reasoning: Derek has $42+7 = <<42+7=49>>49 in total now. ### Answer: 49
Expected answer: 49
Correct? Yes
Problem: Now suppose Derek originally had $42, but his grandmother gave him $12 instead of $7. How much money does Derek have now?
Qwen2-Math 7B:
Reasoning: Derek has $42+12 = <<42+12=54>>54 in total now. ### Answer: 54
Expected answer: 54
Correct? Yes
Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?
Qwen2-Math 7B:
Reasoning: The man spent 43-43/27 = <<43-43/27=43*27/27-43/27=1161/27-43/27=1118/27>>1118/27 dollars on groceries after the discount. He spent 1118/27+13/36 = <<1118/27+13/36=1118*4/108+13/36=4472/108+13/36=4472/108+39/108=4511/108>>4511/108 dollars in total. ### Answer: 4511/108
Expected answer: 4511/108
Correct? Yes
Problem: Continuing from the initial scenario, what if the man originally had spent 9 dollars on groceries, not 43 dollars, but still received the discount of 43/27 dollars. He still buys that book worth 13/36 dollars. With this change, how much money did he spend in total?
Qwen2-Math 7B:
Reasoning: The man spent 9-43/27 = <<9-43/27=9*27/27-43/27=243/27-43/27=200/27>>200/27 dollars on groceries after the discount. He spent 200/27+13/36 = <<200/27+13/36=200*4/108+13/36=800/108+13/36=800/108+39/108=839/108>>839/108 dollars in total. ### Answer: 839/108
Expected answer: 839/108
Correct? Yes
Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?
Qwen2-Math 7B:
Reasoning: Jenna has $45 + $50 = <<45+50=95>>95 dollars. After buying the novel, Jenna has $95 - 46/39 = <<95-46/39=89.74358974358974>>89.74358974358974 dollars left. ### Answer: 89.74358974358974
Expected answer: 3659/39
Correct? No
Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?
Qwen2-Math 7B:
Reasoning: You have 27/6 - 5/40 = <<27/6-5/40=43/12>>43/12 gallons of water left after pouring out 5/40 gallons. You have 43/12 + 21/26 = <<43/12+21/26=101/24>>101/24 gallons of water in the tank after adding 21/26 gallons more. ### Answer: 101/24
Expected answer: 539/104
Correct? No
Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?
Qwen2-Math 7B:
Reasoning: The car will travel 28*20 = <<28*20=560>>560 miles in 20 hours. ### Answer: 560
Expected answer: 560
Correct? Yes
Problem: Continuing from the previous scenario, after traveling for 20 hours at a speed of 28 miles per hour, the car continues on for an additional 22 miles. How many miles has the car traveled in total?
Qwen2-Math 7B:
Reasoning: The car has traveled 560+22 = <<560+22=582>>582 miles in total. ### Answer: 582
Expected answer: 582
Correct? Yes
Problem: Following up from the initial scenario, suppose the car was instead traveling at a consistent speed of 28 miles per hour for 32 hours. How many miles will the car travel in this case?
Qwen2-Math 7B:
Reasoning: The car will travel 28*32 = <<28*32=896>>896 miles in 32 hours. ### Answer: 896
Expected answer: 896
Correct? Yes
Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?
Qwen2-Math 7B:
Reasoning: Tom had 48-19 = <<48-19=29>>29 dollars left. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: Instead of spending 19 dollars on a book, let's say that Tom had initially spent 30 dollars on a more expensive book. How much money would Tom have left in his wallet after this purchase?
Qwen2-Math 7B:
Reasoning: Tom had 48-30 = <<48-30=18>>18 dollars left. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?
Qwen2-Math 7B:
Reasoning: James earns 49/44 dollars per hour, so after working for an hour, he earns 49/44 dollars. James has 19+49/44 = <<19+49/44=19.113636363636363>>19.113636363636363 dollars in his account after working for an hour. ### Answer: 19.113636363636363
Expected answer: 885/44
Correct? No
Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?
Qwen2-Math 7B:
Reasoning: The new vendor charges $19/30 = <<19/30=0.6333333333333333>>0.6333333333333333 per bag. The old vendor charges $34/8 = <<34/8=4.25>>4.25 per bag. The new vendor charges $4.25 - $0.6333333333333333 = <<4.25-0.6333333333333333=3.6166666666666665>>3.6166666666666665 less per bag. ### Answer: 3.6166666666666665
Expected answer: 217/60
Correct? Yes
Problem: Going back to the earlier situation with the juice shop, we realized there was a mistake. They actually buy oranges for $34 per 8 bags but they found a new vendor offering the same quantity of oranges for $19 per 47 bags, not 30. How much less per bag does the new vendor charge now considering this new information?
Qwen2-Math 7B:
Reasoning: The new vendor charges $19/47 = <<19/47=0.40425531914893617>>0.40425531914893617 per bag. The old vendor charges $34/8 = <<34/8=4.25>>4.25 per bag. The new vendor charges $4.25 - $0.40425531914893617 = <<4.25-0.40425531914893617=3.8457446808510638>>3.8457446808510638 less per bag. ### Answer: 3.8457446808510638
Expected answer: 723/188
Correct? Yes
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
Qwen2-Math 7B:
Reasoning: Lisa spends $50/46 = <<50/46=1.0869565217391304>>1.0869565217391304 per day. ### Answer: 1.0869565217391304
Expected answer: 25/23
Correct? Yes
Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?
Qwen2-Math 7B:
Reasoning: If you drink 18/4 of the bottle, you drink 18/4 * 22/43 = <<18/4*22/43=99/86>>99/86 liters of juice. ### Answer: 99/86
Expected answer: 99/43
Correct? No
Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?
Qwen2-Math 7B:
Reasoning: John had $31 in his wallet. He spent $4 on a chocolate bar. John has $31-$4 = <<31-4=27>>27 left. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: After spending $4 on a chocolate bar from his original $31, John decided to buy a book that costs $23. How much money does he have left after buying the book?
Qwen2-Math 7B:
Reasoning: John had $31 in his wallet. He spent $4 on a chocolate bar. He has $31-$4 = <<31-4=27>>27 left. He then bought a book that costs $23. John has $27-$23 = <<27-23=4>>4 left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?
Qwen2-Math 7B:
Reasoning: The speed of the car after one hour with the effect of the wind included would be 40 + 26/24 = <<40+26/24=40.108333333333334>>40.108333333333334 miles per hour. ### Answer: 40.108333333333334
Expected answer: 493/12
Correct? No
Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?
Qwen2-Math 7B:
Reasoning: James added 33/37 + 3/25 = <<33/37+3/25=1050/925>>1050/925 gallons of milk into the jug. James has 1050/925 gallons of milk in total in the jug. ### Answer: 1050/925
Expected answer: 936/925
Correct? No
Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?
Qwen2-Math 7B:
Reasoning: The total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=10.25>>10.25 hours. ### Answer: 10.25
Expected answer: 699/68
Correct? No
Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?
Qwen2-Math 7B:
Reasoning: Carrie's car consumes 41 * (49/48) = <<41*(49/48)=40.9375>>40.9375 liters of fuel. ### Answer: 40.9375
Expected answer: 2009/48
Correct? No
Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?
Qwen2-Math 7B:
Reasoning: Oscar spends 33 * (13/41) = <<33*(13/41)=13.2>>13.2 dollars on the video game. ### Answer: 13.2
Expected answer: 429/41
Correct? No
Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?
Qwen2-Math 7B:
Reasoning: The turtle travels 19/6 feet per second, so in 24 seconds, it would travel 19/6 * 24 = <<19/6*24=76>>76 feet. Since the turtle starts 20 feet ahead from the starting point, the total distance traveled by the turtle in 24 seconds would be 76 + 20 = <<76+20=96>>96 feet. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: In our earlier calculation, we were considering the distance the turtle travelled in 24 seconds. What happens if we reconsider, and instead calculate the turtle's distance covered in 33 seconds from the same starting point that was 20 feet ahead? How many feet would the turtle travel in total then?
Qwen2-Math 7B:
Reasoning: The turtle travels 19/6 feet per second, so in 33 seconds, it would travel 19/6 * 33 = <<19/6*33=104.5>>104.5 feet. Since the turtle starts 20 feet ahead from the starting point, the total distance traveled by the turtle in 33 seconds would be 104.5 + 20 = <<104.5+20=124.5>>124.5 feet. ### Answer: 124.5
Expected answer: 249/2
Correct? Yes
Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?
Qwen2-Math 7B:
Reasoning: Carlos poured 3*41/49 = <<3*41/49=123/49>>123/49 liters of orange juice into the container. ### Answer: 123/49
Expected answer: 123/49
Correct? Yes
Problem: Suppose that Carlos initially had a larger container, with a capacity of 32 liters. If he still filled it to just 41/49 of its capacity with orange juice, how many liters of orange juice did he pour into this larger container?
Qwen2-Math 7B:
Reasoning: Carlos poured 32*41/49 = <<32*41/49=1312/49>>1312/49 liters of orange juice into the larger container. ### Answer: 1312/49
Expected answer: 1312/49
Correct? Yes
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
Qwen2-Math 7B:
Reasoning: The train would cover 39*5 = <<39*5=195>>195 kilometers in 5 hours. ### Answer: 195
Expected answer: 195
Correct? Yes
Problem: If the train was initially traveling at a speed of 16 kilometers per hour instead of 39 kilometers per hour, how far would the train have travelled in 5 hours?
Qwen2-Math 7B:
Reasoning: The train would cover 16*5 = <<16*5=80>>80 kilometers in 5 hours. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?
Qwen2-Math 7B:
Reasoning: Jenny has $3 + 4/37 = <<3+4/37=115/37>>115/37 dollars. ### Answer: 115/37
Expected answer: 115/37
Correct? Yes
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
Qwen2-Math 7B:
Reasoning: Henry saved $17 each week for 5 weeks, so he saved $17*5 = <<17*5=85>>85 in total. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: Imagine if instead of saving $17 each week, Henry was actually saving $37 each week. How much money would Henry save in 5 weeks?
Qwen2-Math 7B:
Reasoning: If Henry saved $37 each week for 5 weeks, he would save $37*5 = <<37*5=185>>185 in total. ### Answer: 185
Expected answer: 185
Correct? Yes
Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?
Qwen2-Math 7B:
Reasoning: You spent 17/23 of a dollar on a sweet. You have $15 - 17/23 = <<15-17/23=14.43>>14.43 left in your savings account after buying the sweet. ### Answer: 14.43
Expected answer: 328/23
Correct? No