InternLM-Math Base 20B 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?
InternLM-Math Base 20B:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4.75 dollars a day. John spent 4.75 dollars a day. John spent 4.75*8 = <<4.75*8=38>>38 dollars. John has 18-38+25 = <<18-38+25=5>>5 dollars now. ### 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?
InternLM-Math Base 20B:
Reasoning: 45+27/30 = <<45+27/30=45+9/10=54.9>>54.9 ### Answer: 54.9
Expected answer: 459/10
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?
InternLM-Math Base 20B:
Reasoning: John has $17 + $8/37 = <<17+8/37=17.2162162162162>>$17.2162162162162 in total. ### Answer: 17.2162162162162
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?
InternLM-Math Base 20B:
Reasoning: Sally traveled 28(47/50+31) = <<28*(47/50+31)=28*(97/50)=28*1.94=53.32>>53.32 miles in 28 days. She traveled 53.32+32/24 = <<53.32+32/24=53.32+1.33=54.65>>54.65 miles in total. ### Answer: 54.65
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?
InternLM-Math Base 20B:
Reasoning: 47 × 4 = <<47*4=188>>188. The train travels 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?
InternLM-Math Base 20B:
Reasoning: 47 × 18 = <<47*18=846>>846. The train would have traveled 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?
InternLM-Math Base 20B:
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 is 34/25+11 = <<34/25+11=49/25>>49/25 kilometers. If an additional 49 kilometers are added to the journey, the total distance the truck can travel is 49/25+49 = <<49/25+49=98/25>>98/25 kilometers. ### Answer: 98/25
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?
InternLM-Math Base 20B:
Reasoning: John's speed after the energy drink is 4/22 + 50/49 = <<4/22+50/49=98/198>>98/198 miles per hour. John's speed after the energy drink is 98/198 × 46/30 = <<98/198*46/30=49/99>>49/99 miles per hour. ### Answer: 49/99
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?
InternLM-Math Base 20B:
Reasoning: The truck driver has 9+21/36+26/42 = <<9+21/36+26/42=9+1/2+2/3=9+5/6=14+5/6=14 5/6>>14 5/6 gallons of gas in his tank. ### Answer: 14 5/6
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?
InternLM-Math Base 20B:
Reasoning: John now has 6+47/8 = <<6+47/8=9.375>>9.375 dollars in his pocket. ### Answer: 9.375
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?
InternLM-Math Base 20B:
Reasoning: Matthew has $29 - $5 = <<29-5=24>>24 left after buying the toy. He then receives $8 from his grandmother, so he has $24 + $8 = <<24+8=32>>32 in total. ### 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?
InternLM-Math Base 20B:
Reasoning: 9*16 = <<9*16=144>>144 ### 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?
InternLM-Math Base 20B:
Reasoning: 9*30 = <<9*30=270>>270 ### 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?
InternLM-Math Base 20B:
Reasoning: Amy's garden is 11+30 = <<11+30=41>>41 feet long after the first expansion. Amy's garden is 41+30/13 = <<41+30/13=41+2.3=43.3>>43.3 feet long after all the expansions. ### Answer: 43.3
Expected answer: 563/13
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The distance from John's house to his work is (17 / 3) = <<17/3=5 2/3>>5 2/3 miles. The distance from the supermarket to his work is (25 / 41) = <<25/41=0 5/41>>0 5/41 miles. The distance from the supermarket to his work is (5 2/3) - (0 5/41) = <<5 2/3-0 5/41=5 17/123>>5 17/123 miles. ### Answer: 5 17/123
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?
InternLM-Math Base 20B:
Reasoning: The bank has 12+36-8 = <<12+36-8=40>>40 dollars in one-dollar bills. ### 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?
InternLM-Math Base 20B:
Reasoning: The bank has 40+19/11 = <<40+19/11=59.09>>59.09 dollars in one-dollar bills. ### Answer: 59.09
Expected answer: 459/11
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The bank has 12+22-8 = <<12+22-8=34>>34 dollars in one-dollar bills. ### Answer: 34
Expected answer: 26
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: Samantha found 46/41 = <<46/41=1.12>>1.12 dollars on the street. Samantha has 28+1.12 = <<28+1.12=29.12>>29.12 dollars in her bank account now. ### Answer: 29.12
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?
InternLM-Math Base 20B:
Reasoning: James has 37+14/19 = <<37+14/19=37.74...>>37.74... dollars now. ### 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?
InternLM-Math Base 20B:
Reasoning: 40/28 = <<40/28=1.4285714285714286>>1.4285714285714286 Sophia spends 1.4285714285714286 dollars each 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?
InternLM-Math Base 20B:
Reasoning: 40/3 = <<40/3=13.333333333333334>>13.333333333333334 Sophia spends 13.333333333333334 dollars each 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?
InternLM-Math Base 20B:
Reasoning: Roberto has 50/17 = <<50/17=2.94>>2.94 ounces of juice in each part. He pours 2.94 ounces of juice into a container. He then pours 34/44 of 2.94 = <<34/44*2.94=2.14>>2.14 ounces of juice into another container. ### Answer: 2.14
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?
InternLM-Math Base 20B:
Reasoning: John needs $40 - $29 = <<40-29=11>>$11 to buy the game. 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?
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?
InternLM-Math Base 20B:
Reasoning: 13/3 - 32/15 = <<13/3-32/15=1/15>>1/15 Maria has 1/15 euros left. ### Answer: 1/15
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?
InternLM-Math Base 20B:
Reasoning: 20 pieces of lumber would be 20*<<20*45/44=90/2=45>>45 meters long in total. ### Answer: 45
Expected answer: 225/11
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The sprinter runs 34/14 = <<34/14=2.4285714285714285714285714285714>>2.4285714285714285714285714285714 miles in the first part of the race. The sprinter runs 21/26 = <<21/26=0.80769230769230769230769230769231>>0.80769230769230769230769230769231 miles in the second part of the race. The sprinter runs 2.4285714285714285714285714285714 + 0.80769230769230769230769230769231 = <<2.4285714285714285714285714285714+0.80769230769230769230769230769231=3.2362387301587301587301587301587>>3.2362387301587301587301587301587 miles in one hour from both parts together. ### Answer: 3.2362387301587301587301587301587
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?
InternLM-Math Base 20B:
Reasoning: Tom has $30+$14 = <<30+14=44>>44 on him and $25 as a gift. Tom has $44+$25 = <<44+25=69>>69 now. ### Answer: 69
Expected answer: 69
Correct? Yes
Problem: Following from the previous problem, now Tom decides to do some chores for his neighbor and earns an additional value equivalent to 37/33 dollars. How much money does Tom have now after receiving this additional amount?
InternLM-Math Base 20B:
Reasoning: Tom has $44+$25 = <<44+25=69>>69 on him and $37/33 as a gift. Tom has $69+$37/33 = <<69+37/33=70.81818181818182>>70.81818181818182 now. ### Answer: 70.81818181818182
Expected answer: 2314/33
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?
InternLM-Math Base 20B:
Reasoning: Jenny ran 41/32+11/4 = <<41/32+11/4=41/32+22/4=63/32>>63/32 miles in total. ### Answer: 63/32
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?
InternLM-Math Base 20B:
Reasoning: John has $32+$33 = <<32+33=65>>65 dollars now. ### 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?
InternLM-Math Base 20B:
Reasoning: John has $3+$33 = <<3+33=36>>36 dollars now. ### 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?
InternLM-Math Base 20B:
Reasoning: Carrie rode her bike for 7+38/25 = <<7+38/25=7+1.52=8.52>>8.52 hours. Carrie covered 35*8.52 = <<35*8.52=301.2>>301.2 kilometers in total. ### Answer: 301.2
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?
InternLM-Math Base 20B:
Reasoning: John saved $17 in January. He then added $10 more for the month of February. John saved $17+$10 = <<17+10=27>>$27 in February. John saved $17+$27 = <<17+27=44>>$44 altogether after February. ### Answer: 44
Expected answer: 27
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The car traveled 41*<<20/11=1.8181818181818182>>1.8181818181818182 miles during this trip. ### Answer: 41*1.8181818181818182
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?
InternLM-Math Base 20B:
Reasoning: The car traveled 30*<<20/11=1.8181818181818182>>1.8181818181818182 miles during this trip. ### Answer: 30*1.8181818181818182
Expected answer: 600/11
Correct? Yes
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?
InternLM-Math Base 20B:
Reasoning: Tony spent 38*21 = <<38*21=798>>798 dollars 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?
InternLM-Math Base 20B:
Reasoning: Tony spent 38*24 = <<38*24=912>>912 dollars 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?
InternLM-Math Base 20B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. So, it uses 16*19 = <<16*19=304>>304 liters of gas if he drives continuously for 19 hours. ### 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?
InternLM-Math Base 20B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. So, it uses 16*19 = <<16*19=304>>304 liters of gas if he drives continuously for 19 hours. ### Answer: 304
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?
InternLM-Math Base 20B:
Reasoning: Johnnie's car uses 16 liters of gas every hour. So, it uses 16*39 = <<16*39=624>>624 liters of gas if he drives continuously for 39 hours. ### 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?
InternLM-Math Base 20B:
Reasoning: Joe 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?
InternLM-Math Base 20B:
Reasoning: Joe distributed 40*19-5 = <<40*19-5=755>>755 pamphlets in total. ### 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?
InternLM-Math Base 20B:
Reasoning: Joe distributed 40*19 = <<40*19=760>>760 pamphlets in total. ### Answer: 760
Expected answer: 513
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The farmer harvested 16/5 bushels of corn per acre. The farmer has 42-49/4 = <<42-49/4=33.75>>33.75 acres of land that was not fallow. The farmer harvested 16/5*33.75 = <<16/5*33.75=20.4>>20.4 bushels of corn from the land that was not fallow. ### Answer: 20.4
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?
InternLM-Math Base 20B:
Reasoning: Jennifer has 21 gallons of lemonade in a jug. She sells the jug and receives 31/34 of the volume she originally had. This means that she receives 31/34 of 21 gallons, which is 31/34 × 21 = <<31/34*21=19.4>>19.4 gallons of lemonade. Therefore, after selling a full jug, Jennifer has 19.4 gallons of lemonade. ### Answer: 19.4
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?
InternLM-Math Base 20B:
Reasoning: Jane cycles 1 km in addition to the 11 km/h for 45 hours. Jane cycles 11 km/h for 45 hours = <<11*45=495>>495 km. 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?
InternLM-Math Base 20B:
Reasoning: The object is 30 km from the current location, which is 496 km from the starting point. The object is 496-30 = <<496-30=466>>466 km from the 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?
InternLM-Math Base 20B:
Reasoning: George found $21/39 = <<21/39=0.5384615384615385>>0.5384615384615385 worth of change on the street. George has $21 + $21/39 = <<21+21/39=21.538461538461538>>21.538461538461538 now. ### 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?
InternLM-Math Base 20B:
Reasoning: John biked 46+41 = <<46+41=87>>87 miles altogether. ### 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?
InternLM-Math Base 20B:
Reasoning: John biked 8+41 = <<8+41=49>>49 miles altogether. ### 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?
InternLM-Math Base 20B:
Reasoning: John earns 4 dollars per hour. He works for 9 hours. Therefore, he earns 9*4 = <<9*4=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?
InternLM-Math Base 20B:
Reasoning: John and his siblings each earn 4 dollars per hour. They work for 39 hours. Therefore, each person earns 39/3*4 = <<39/3*4=52>>52 dollars. ### Answer: 52
Expected answer: 156
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: Jack earned 41/48 of a dollar from recycling cans. Jack earned 23/24 of a dollar from finding a quarter. Jack earned 41/48+23/24 = <<41/48+23/24=64/48+18/24=64/48+3/4=17/6+3/4=17/6+9/12=26/12=13/6=2 1/6>>2 1/6 dollars from recycling cans and finding a quarter. Jack has 38+2 1/6 = <<38+2 1/6=40 1/6>>40 1/6 dollars now. ### Answer: 40 1/6
Expected answer: 637/16
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. Jenny drove for a total of 29 hours at
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?
InternLM-Math Base 20B:
Reasoning: 16/31 × 32 = <<16/31*32=16>>16 The total amount of paint distributed to all the students is 16 litres. ### Answer: 16
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?
InternLM-Math Base 20B:
Reasoning: Bob receives 3/7 = <<3/7=0.42857142857142855>>0.42857142857142855 dollars. Bob has 3+0.42857142857142855 = <<3+0.42857142857142855=3.42857142857142855>>3.42857142857142855 dollars in total. ### Answer: 3.42857142857142855
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?
InternLM-Math Base 20B:
Reasoning: Bob receives 3/7 = <<3/7=0.42857142857142855>>0.42857142857142855 dollars. Bob has 3+0.42857142857142855 = <<3+0.42857142857142855=3.42857142857142855>>3.42857142857142855 dollars in total. ### Answer: 3.42857142857142855
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?
InternLM-Math Base 20B:
Reasoning: The first rock was moved for an interval of 20/50 = <<20/50=0.4>>0.4 hours, and the second was moved for an interval of 45/36 = <<45/36=1.25>>1.25 hours. Tom can move rocks at a speed of 25/22 = <<25/22=1.14>>1.14 miles per hour. Tom moved the first rock for 0.4 hours at a speed of 1.14 miles per hour, so he moved the first rock 0.4 × 1.14 = <<0.4*1.14=0.456>>0.456 miles. Tom moved the second rock for 1.25 hours at a speed of 1.14 miles per hour, so he moved the second rock 1.25 × 1.14 = <<1.25*1.14=1.425>>1.425 miles. Tom moved the rocks a total of 0.456 + 1.425 = <<0.456+1.425=1.881>>1.881 miles. ### Answer: 1.881
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?
InternLM-Math Base 20B:
Reasoning: The scientist mixes 10/42 + 32 = <<10/42+32=32+10/42=32+5/21=37/21>>37/21 liters of solution. She then removes 4/28 of this mixture, which is 4/28 * 37/21 = <<4/28*37/21=4/28*37/21=4*37/(28*21)=4*37/(28*3*7)=4*37/(84*7)=4*1/(84)=1/210>>1/210 of the mixture. The remaining mixture is therefore 37/21 - 1/210 = <<37/21-1/210=37/21-1/210=37*210/(21*210)-1/210=37*210-1/(21*210)=37*210-1/420=37*210-1/(2*210)=37*210-1/210=37*209/210=37*13/15=481/15>>481/15 liters. The scientist then extracts 11/29 of this remaining mixture, which is 11/29 * 481/15 = <<11/29*481/15=11/29*481/15=11*481/(29*15)=11*481/(29*3*5)=11*481/(145*5)=11*481/(725)=11*32/25=352/25>>352/25 liters. ### Answer: 352/25
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
InternLM-Math Base 20B:
Reasoning: 24*25 = <<24*25=600>>600 ### 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?
InternLM-Math Base 20B:
Reasoning: 24*39 = <<24*39=936>>936 ### 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?
InternLM-Math Base 20B:
Reasoning: The total amount of juice in the two containers is 23/35+50/41 = <<(23/35)+(50/41)=(23*41+50*35)/(35*41)=2341+1750/1435=4091/1435>>4091/1435 gallon. The amount of juice left in the bottle is 4091/1435-11/19 = <<(4091/1435)-(11/19)=(4091*19-11*1435)/(1435*19)=78429-15795/27145=62634/27145>>62634/27145 gallon. The amount of space left in the bottle is 28-62634/27145 = <<28-(62634/27145)=(28*27145-62634)/27145=761960-62634/208911=7093/208911>>7093/208911 gallon. ### Answer: 7093/208911
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?
InternLM-Math Base 20B:
Reasoning: The total cost is 47+6/26 = <<47+6/26=47+0.23=47.23>>47.23. ### Answer: 47.23
Expected answer: 614/13
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The drone can fly 3-50/43 = <<3-50/43=2.35>>2.35 kilometers with the package attached. The drone can fly 2.35+47/15 = <<2.35+47/15=3.9>>3.9 kilometers with the package and the additional booster attached. ### Answer: 3.9
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?
InternLM-Math Base 20B:
Reasoning: Ann runs 43/18+22/9 = <<43/18+22/9=5.5>>5.5 kilometers in a day. ### Answer: 5.5
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?
InternLM-Math Base 20B:
Reasoning: The car can travel 36/1 = <<36/1=36>>36 miles on a 1-gallon tank of gas. The car can travel 36*19 = <<36*19=684>>684 miles on a 19-gallon tank of gas. ### 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?
InternLM-Math Base 20B:
Reasoning: The car can travel 50/1 = <<50/1=50>>50 miles on a 1-gallon tank of gas. The car can travel 50*19 = <<50*19=950>>950 miles on a 19-gallon tank of gas. ### 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?
InternLM-Math Base 20B:
Reasoning: John drove 18*36 = <<18*36=648>>648 miles in 36 hours. John drove 32/45 = <<32/45=0.711111111111111>>0.711111111111111 miles in the extra time. John drove 648+0.711111111111111 = <<648+0.711111111111111=648.7111111111111>>648.7111111111111 miles in total. ### Answer: 648.7111111111111
Expected answer: 29192/45
Correct? Yes
Problem: In a revision to his earlier trip, instead of driving an extra 32/45 miles after his initial 18 miles each hour for 36 hours, John drove only 23/45 miles additionally. How many miles did he drive in total in this revision of his trip?
InternLM-Math Base 20B:
Reasoning: John drove 18*36 = <<18*36=648>>648 miles in 36 hours. John drove 23/45 = <<23/45=0.511111111111111>>0.511111111111111 miles in the extra time. John drove 648+0.511111111111111 = <<648+0.511111111111111=648.5111111111111>>648.5111111111111 miles in total. ### Answer: 648.5111111111111
Expected answer: 29183/45
Correct? Yes
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
InternLM-Math Base 20B:
Reasoning: 40 / 31 miles per minute = <<40/31=1.290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290
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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: John has 21+11 = <<21+11=32>>32 dollars now. 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?
InternLM-Math Base 20B:
Reasoning: Samuel has $17 + $30 = <<17+30=47>>$47 now. $47 is equivalent to 33/47 * $47 = <<33/47*47=33>>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?
InternLM-Math Base 20B:
Reasoning: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. 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?
InternLM-Math Base 20B:
Reasoning: Hannah has 5 piggy banks, and each piggy bank contains 27 coins. Hannah has 5*27 = <<5*27=135>>135 coins in total. ### 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?
InternLM-Math Base 20B:
Reasoning: Alex has $13/10 + $47/36 = <<13/10+47/36=1.75+1.3083=3.0583>>$3.0583 in his pocket. Alex has 3.0583 * 43 = <<3.0583*43=132.4589>>$132.4589 after duplicating the amount of money he has by 43 times. ### Answer: 132.4589
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?
InternLM-Math Base 20B:
Reasoning: John lost 19 dollars. John has 20-19 = <<20-19=1>>1 dollar left. ### 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?
InternLM-Math Base 20B:
Reasoning: John lost 19 dollars. John has 26-19 = <<26-19=7>>7 dollars left. ### 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?
InternLM-Math Base 20B:
Reasoning: Richard drank 33/48 of a bottle of wine. 33/48 = <<33/48=0.6875>>0.6875 of a bottle of wine. Richard drank 26/30 of a liter of orange juice. 26/30 = <<26/30=0.86>>0.86 of a liter of orange juice. Richard drank 2/36 of a liter of water. 2/36 = <<2/36=0.055555555555555555555555555555556>>0.055555555555555555555555555555556 of a liter of water. Richard drank 0.6875+0.86+0.055555555555555555555555555555556 = <<0.6875+0.86+0.055555555555555555555555555555556=1.52055555555555555555555555555556>>1.52055555555555555555555555555556 liters of liquid. ### Answer: 1.52055555555555555555555555555556
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?
InternLM-Math Base 20B:
Reasoning: Jacob has $43+$46 = <<43+46=89>>$89 in his savings account. He receives $27/9 = <<27/9=3>>$3 from his aunt. Jacob has $89+$3 = <<89+3=92>>$92 in his savings account now. ### 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?
InternLM-Math Base 20B:
Reasoning: Jacob has $92-$25 = <<92-25=67>>$67 in his savings account now. ### 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: Jacob 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: Tina paid 39/26 = <<39/26=1.5>>1.5 times 16 dollars for the groceries. Tina paid 16*1.5 = <<16*1.5=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?
InternLM-Math Base 20B:
Reasoning: Tina paid 39/26 = <<39/26=1.5>>1.5 times 42 dollars for the groceries. Tina paid 42*1.5 = <<42*1.5=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?
InternLM-Math Base 20B:
Reasoning: Jaden has $19 in his savings account. If his mother gives him $10 more, he will have $19+$10 = <<19+10=29>>29 dollars 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.
InternLM-Math Base 20B:
Reasoning: John buys 17/8 = <<17/8=2.125>>2.125 pounds of apples every day. John buys 48/42 = <<48/42=1.1428571428571428571428571428571>>1.1428571428571428571428571428571 ounces of apple juice every day. John's rate of apple to apple juice consumption is 2.125/1.1428571428571428571428571428571 = <<2.125/1.1428571428571428571428571428571=1.8571428571428571428571428571429>>1.8571428571428571428571428571429. ### Answer: 1.8571428571428571428571428571429
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?
InternLM-Math Base 20B:
Reasoning: Maria drove 8*4/7 = <<8*4/7=32/7>>32/7 miles in the first trip. Maria spent 50/4 dollars on gas in the second trip. Maria had 38-50/4 = <<38-50/4=25/4>>25/4 dollars left in the second trip. The summation of the total miles Maria drove and the remaining amount of money she had for gas is 32/7+25/4 = <<32/7+25/4=149/28>>149/28. ### Answer: 149/28
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?
InternLM-Math Base 20B:
Reasoning: The runner runs 17 miles each day for 49 days. The total distance is 17 × 49 = <<17*49=833>>833 miles. ### 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?
InternLM-Math Base 20B:
Reasoning: The runner runs 37 miles each day for 17 days. The total distance is 37 × 17 = <<37*17=629>>629 miles. ### 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?
InternLM-Math Base 20B:
Reasoning: The toy car can now travel 37+33/40 = <<37+33/40=37.825>>37.825 kilometers on a single tank of fuel. ### 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?
InternLM-Math Base 20B:
Reasoning: The toy car can now travel 37.825+45/29 = <<37.825+45/29=38.5>>38.5 kilometers on a single tank of fuel on an uphill road. ### Answer: 38.5
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?
InternLM-Math Base 20B:
Reasoning: The toy car can now travel 37+33/38 = <<37+33/38=37.868421052631579>>37.868421052631579 kilometers on a single tank of fuel. ### Answer: 37.868421052631579
Expected answer: 1439/38
Correct? Yes
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?
InternLM-Math Base 20B:
Reasoning: John traveled for 1/31+30/12+17/4 = <<1/31+30/12+17/4=1.75>>1.75 hours in total. ### Answer: 1.75
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?
InternLM-Math Base 20B:
Reasoning: The effective distance of the well from the village is 45-18/33 = <<45-18/33=27/33>>27/33 miles. ### Answer: 27/33
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?
InternLM-Math Base 20B:
Reasoning: Clara spent 25/6 dollars on ice cream. She had 30-25/6 = <<30-25/6=5/6>>5/6 dollars left. She spent 11/21 of her remaining money on a book. She spent 11/21*5/6 = <<11/21*5/6=11/42>>11/42 dollars on the book. ### Answer: 11/42
Expected answer: 1705/126
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: John walked 10 miles every day for 2 weeks. 2 weeks = 14 days. 14 × 10 = <<14*10=140>>140 miles. 140 + 21 = <<140+21=161>>161 miles. ### 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?
InternLM-Math Base 20B:
Reasoning: John walked 14 miles every day for 7 weeks. 7 weeks = 49 days. 49 × 14 = <<49*14=686>>686 miles. 686 + 21 = <<686+21=707>>707 miles. ### 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?
InternLM-Math Base 20B:
Reasoning: Susan has 48-18 = <<48-18=30>>30 dollars left after buying the toy. ### Answer: 30
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?
InternLM-Math Base 20B:
Reasoning: Jamie has 47+47/41 = <<47+47/41=47+1.15=48.15>>48.15 dollars in her bank account. ### Answer: 48.15
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?
InternLM-Math Base 20B:
Reasoning: Walter has 23/21 = <<23/21=1.095238...>>1.095238... dollars left after buying the pen. He has 46/1.095238... = <<46/1.095238...=42.052632...>>42.052632... dollars originally. ### Answer: 42.052632...
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?
InternLM-Math Base 20B:
Reasoning: The farmer harvests 44/10 × 37 = <<44/10*37=176/10=17.6>>17.6 kilograms of honey in a day. The farmer sells 3/37 × 176/10 = <<3/37*176/10=48/10=4.8>>4.8 kilograms of honey in a day. ### Answer: 17.6 kilograms, 4.8 kilograms
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?
InternLM-Math Base 20B:
Reasoning: Jessica earns 29 dollars per hour. If she works for 14 hours, she 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?
InternLM-Math Base 20B:
Reasoning: Jessica earns 40 dollars per hour. If she works for 14 hours, she 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?
InternLM-Math Base 20B:
Reasoning: Tim's car uses 41/39 = <<41/39=1.0512820513>>1.0512820513 liters of fuel per minute. Tim drives for 47 minutes, so he uses 47*1.0512820513 = <<47*1.0512820513=49.32>>49.32 liters of fuel. ### Answer: 49.32
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?
InternLM-Math Base 20B:
Reasoning: The ship carries 17/26 tons of cargo for every one of its 39 containers. The ship already has an existing cargo load of 50/11 tons. The total tonnage of the cargo on the ship after it loads all 39 containers is 50/11 + 39*17/26 = <<50/11+39*17/26=1071/11>>1071/11 tons. ### Answer: 1071/11
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?
InternLM-Math Base 20B:
Reasoning: Jessie has $34+$20 = <<34+20=54>>54 in savings. ### 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?
InternLM-Math Base 20B:
Reasoning: Jessie saves $34+$20 = <<34+20=54>>54 in savings each week. Jessie saves 13*$54 = <<13*54=702>>702 in savings after 13 weeks. ### Answer: 702
Expected answer: 702
Correct? Yes
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?
InternLM-Math Base 20B:
Reasoning: Jessie has $45+$20 = <<45+20=65>>65 in savings. ### 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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
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?
InternLM-Math Base 20B:
Reasoning: The man spent 43-43/27 = <<43-43/27=43-1.59=41.41>>41.41 dollars on groceries. The man spent 13/36 = <<13/36=0.36>>0.36 dollars on the book. The man spent 41.41+0.36 = <<41.41+0.36=41.77>>41.77 dollars in total. ### Answer: 41.77
Expected answer: 4511/108
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: Jenna has 45+50 = <<45+50=95>>95 dollars. She spent 46/39 dollars on the novel. She has 95-46/39 = <<95-46/39=55.64102564102564>>55.64102564102564 dollars left. ### Answer: 55.64102564102564
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?
InternLM-Math Base 20B:
Reasoning: You have 27/6 - 5/40 = <<27/6-5/40=27/6-1/8=25/24>>25/24 gallons of water in the tank after pouring out 5/40 gallons of water. You have 25/24 + 21/26 = <<25/24+21/26=25/24+7/12=52/72+7/12=59/72>>59/72 gallons of water in the tank after adding 21/26 gallons more. ### Answer: 59/72
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?
InternLM-Math Base 20B:
Reasoning: 28 × 20 = <<28*20=560>>560. The car will travel 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?
InternLM-Math Base 20B:
Reasoning: 28 × 20 + 22 = <<28*20+22=582>>582. The car has traveled 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?
InternLM-Math Base 20B:
Reasoning: 28 × 32 = <<28*32=896>>896. The car will travel 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?
InternLM-Math Base 20B:
Reasoning: Tom had 48-19 = <<48-19=29>>29 dollars left in his wallet. ### 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?
InternLM-Math Base 20B:
Reasoning: Tom had 48-30 = <<48-30=18>>18 dollars left in his wallet. ### 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?
InternLM-Math Base 20B:
Reasoning: James earns 49/44 dollars per hour. James has 19+49/44 = <<19+49/44=19.11363636363636>>19.11363636363636 dollars in his account after working for an hour. ### Answer: 19.11363636363636
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?
InternLM-Math Base 20B:
Reasoning: The new vendor charges $19/30 = <<19/30=0.6333...>>0.6333... per bag. The old vendor charges $34/8 = <<34/8=4.25>>4.25 per bag. The new vendor charges $0.6333... - 4.25 = <<0.6333...-4.25=-3.6166...>>-3.6166... less per bag. ### Answer: -3.6166...
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
InternLM-Math Base 20B:
Reasoning: Lisa spends $50/46 = <<50/46=1.08696>>1.08696 per day. ### Answer: 1.08696
Expected answer: 25/23
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: 18/4 of 22/43 = <<18/4*22/43=198/172>>198/172 of the bottle. You drink 198/172 of 22/43 = <<198/172*22/43=198/172*22/43=9/11>>9/11 liters of juice. ### Answer: 9/11
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?
InternLM-Math Base 20B:
Reasoning: 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?
InternLM-Math Base 20B:
Reasoning: John has $31-4-23 = <<31-4-23=-12>>-12 left. ### Answer: -12
Expected answer: 4
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: The car gains an extra speed of 26/24 = <<26/24=1.0833333333333333>>1.0833333333333333 miles per hour every hour. After one hour, the car's speed would be 40+1.0833333333333333 = <<40+1.0833333333333333=41.08333333333333>>41.08333333333333 miles per hour. ### Answer: 41.08333333333333
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?
InternLM-Math Base 20B:
Reasoning: James has 33/37+3/25 = <<33/37+3/25=42/37>>42/37 gallons of milk in the jug. ### Answer: 42/37
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?
InternLM-Math Base 20B:
Reasoning: The total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4=43/17+31/4
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?
InternLM-Math Base 20B:
Reasoning: Carrie's car consumes 41/48 = <<41/48=0.8458333333333333>>0.8458333333333333 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, her car has consumed 41/48*49/48 = <<41/48*49/48=0.8458333333333333>>0.8458333333333333 liters of fuel. ### Answer: 0.8458333333333333
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?
InternLM-Math Base 20B:
Reasoning: Oscar spends 13/41 of $33 = <<13/41*33=9.75>>$9.75 on the video game. ### Answer: $9.75
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?
InternLM-Math Base 20B:
Reasoning: The turtle travels 24*19/6 = <<24*19/6=76>>76 feet in 24 seconds. The turtle travels 76+20 = <<76+20=96>>96 feet altogether. ### 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?
InternLM-Math Base 20B:
Reasoning: The turtle travels 33*19/6 = <<33*19/6=107>>107 feet in 33 seconds. The turtle travels 107+20 = <<107+20=127>>127 feet altogether. ### Answer: 127
Expected answer: 249/2
Correct? No
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?
InternLM-Math Base 20B:
Reasoning: Carlos filled the container with 3*41/49 = <<3*41/49=2.448979591836735>>2.448979591836735 liters of orange juice. ### Answer: 2.448979591836735
Expected answer: 123/49
Correct? No
Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?
InternLM-Math Base 20B:
Reasoning: 39 × 5 = <<39*5=195>>195 The train would cover 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?
InternLM-Math Base 20B:
Reasoning: 16 × 5 = <<16*5=80>>80 The train would have travelled 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?
InternLM-Math Base 20B:
Reasoning: Jenny has 3+4/37 = <<3+4/37=3.1081081081081081>>3.1081081081081081 dollars altogether. ### Answer: 3.1081081081081081
Expected answer: 115/37
Correct? Yes
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
InternLM-Math Base 20B:
Reasoning: Henry saved 17*5 = <<17*5=85>>85 dollars in 5 weeks. ### 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?
InternLM-Math Base 20B:
Reasoning: Henry saved 37*5 = <<37*5=185>>185 dollars in 5 weeks. ### 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?
InternLM-Math Base 20B:
Reasoning: You spent 17/23 of a dollar on a small sweet. You spent 15-17/23 = <<15-17/23=15-0.739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217
Expected answer: 328/23
Correct? Yes