DeepSeek Math 7B Base 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?
DeepSeek Math 7B Base:
Reasoning: Steve spent 38/8 = <<38/8=4.75>>4.75 dollars per day. John spent 4.75 dollars per day. John has 18-4.75*2+25 = <<18-4.75*2+25=29.5>>29.5 dollars now. ### Answer: 29.5
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?
DeepSeek Math 7B Base:
Reasoning: You have $45 in your wallet. You find a coin on the street worth $27/30. You have $45 + $27/30 = <<45+27/30=45+0.9=45.9>>$45.9 in total. ### Answer: $45.9
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?
DeepSeek Math 7B Base:
Reasoning: John has $17 + $8/37 = <<17+8/37=17.23>>$17.23 in total. ### Answer: $17.23
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?
DeepSeek Math 7B Base:
Reasoning: Sally travels 47/50+31+28*31 = <<47/50+31+28*31=1007.4>>1007.4 miles in total. Sally travels 1007.4+32/24 = <<1007.4+32/24=1014.6666666666666>>1014.6666666666666 miles in total after adding the extra traveling distance. ### Answer: 1014.6666666666666
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?
DeepSeek Math 7B Base:
Reasoning: The train travels 47*4 = <<47*4=188>>188 miles in 4 hours. ### 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?
DeepSeek Math 7B Base:
Reasoning: The train travels 47*18 = <<47*18=846>>846 miles in 18 hours. ### 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?
DeepSeek Math 7B Base:
Reasoning: The truck can travel 34/25+11 = <<34/25+11=1.38>>1.38 kilometers on a liter of fuel. The truck can travel 1.38+49 = <<1.38+49=50.38>>50.38 kilometers on a liter of fuel. ### Answer: 50.38
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?
DeepSeek Math 7B Base:
Reasoning: John's speed without the energy drink is 4/22 miles per hour. John's speed with the energy drink is 4/22 + 50/49 = <<4/22+50/49=1.04>>1.04 miles per hour. John's speed after 46/30 hours is 1.04 * 46/30 = <<1.04*46/30=1.5733333333333332>>1.57 miles per hour. ### Answer: 1.57 miles per hour
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?
DeepSeek Math 7B Base:
Reasoning: 21/36 = <<21/36=0.5833333333333333>>0.5833333333333333 26/42 = <<26/42=0.6190476190476191>>0.6190476190476191 9+0.5833333333333333+0.6190476190476191 = <<9+0.5833333333333333+0.6190476190476191=10.202380952380952>>10.202380952380952 ### Answer: 10.202380952380952
Expected answer: 857/84
Correct? Yes
Problem: In the previous problem the truck driver has just reached his final total of gasoline in his tank. Now, suppose that his truck uses up this fuel at a rate by which each gallon lasts for 35 miles. How far can he continue to drive with the total amount of gasoline he has in his tank?
DeepSeek Math 7B Base:
Reasoning: 10.202380952380952*35 = <<10.202380952380952*35=357.0833333333333>>357.0833333333333 ### Answer: 357.0833333333333
Expected answer: 4285/12
Correct? Yes
Problem: In the previous problem, we calculated how much fuel the truck driver had after adding 21/36 gallons and 26/42 gallons to 9 original gallons. Suppose now we mistakenly thought that the second stop was dispensing fuel faster and he actually added 26/4 gallons instead of 26/42 gallons in the second stop. If he still had the original 9 gallons to start with and added the 21/36 gallons in the first stop as per the original scenario, how much fuel would the truck driver have now in his truck after making both stops?
DeepSeek Math 7B Base:
Reasoning: 26/4 = <<26/4=6.5>>6.5 9+0.5833333333333333+6.5 = <<9+0.5833333333333333+6.5=16.083333333333332>>16.083333333333332 ### Answer: 16.083333333333332
Expected answer: 193/12
Correct? Yes
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?
DeepSeek Math 7B Base:
Reasoning: John has 6+47/8 = <<6+47/8=10.875>>10.875 dollars in total. ### Answer: 10.875
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?
DeepSeek Math 7B Base:
Reasoning: Matthew has 29-5+8 = <<29-5+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?
DeepSeek Math 7B Base:
Reasoning: 9 barrels of oil cost 9*16 = <<9*16=144>>144 dollars. ### 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?
DeepSeek Math 7B Base:
Reasoning: 9 barrels of oil cost 9*30 = <<9*30=270>>270 dollars. ### 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?
DeepSeek Math 7B Base:
Reasoning: 11+30+30/13 = <<11+30+30/13=51.76923076923077>>51.76923076923077 feet. ### Answer: 51.76923076923077 feet
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?
DeepSeek Math 7B Base:
Reasoning: The supermarket is (17 / 3) - (25 / 41) = <<(17/3)-(25/41)=1.011627906976744>>1.011627906976744 miles closer to his work than his house. The supermarket is (17 / 3) - (1.011627906976744) = <<(17/3)-(1.011627906976744)=4.025086489895058>>4.025086489895058 miles from his work. ### Answer: 4.025086489895058
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?
DeepSeek Math 7B Base:
Reasoning: The bank has 12+36-8 = <<12+36-8=40>>40 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?
DeepSeek Math 7B Base:
Reasoning: The bank has 40+19/11 = <<40+19/11=41.72727272727273>>41.72727272727273 one-dollar bills. ### Answer: 41.72727272727273
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?
DeepSeek Math 7B Base:
Reasoning: The bank has 12+22-8 = <<12+22-8=26>>26 one-dollar bills. ### 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?
DeepSeek Math 7B Base:
Reasoning: Samantha has 28+46/41 = <<28+46/41=30.02439024390244>>30.02439024390244 dollars in her bank account now. ### Answer: 30.02439024390244
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: Sophia spends 40/28 = <<40/28=1.4285714285714285714285714285714>>1.4285714285714285714285714285714 dollars every day. ### Answer: 1.4285714285714285714285714285714
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?
DeepSeek Math 7B Base:
Reasoning: Sophia spends 40/3 = <<40/3=13.333333333333333333333333333333>>13.333333333333333333333333333333 dollars every day. ### Answer: 13.333333333333333333333333333333
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?
DeepSeek Math 7B Base:
Reasoning: Roberto has 50/17 = <<50/17=2.9411764705882353>>2.9411764705882353 ounces of juice in each part. He has 2.9411764705882353*17 = <<2.9411764705882353*17=49.99999999999999>>49.99999999999999 ounces of juice in total. He has 34/44*2.9411764705882353 = <<34/44*2.9411764705882353=2.2058823529411764>>2.2058823529411764 ounces of juice in the second container. ### Answer: 2.2058823529411764
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?
DeepSeek Math 7B Base:
Reasoning: John needs 40-29 = <<40-29=11>>11 dollars to buy the video game. After 1 week, John has 20/48*11 = <<20/48*11=5.208333333333333>>5.208333333333333 dollars. After 2 weeks, John has 20/48*11+20/48*11 = <<20/48*11+20/48*11=10.416666666666666>>10.416666666666666 dollars. After 3 weeks, John has 20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11=15.625>>15.625 dollars. After 4 weeks, John has 20/48*11+20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11+20/48*11=20.833333333333332>>20.833333333333332 dollars. After 5 weeks, John has 20/48*11+20/48*11+20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11+20/48*11+20/48*11=26.041666666666666>>26.041666666666666 dollars. After 6 weeks, John has 20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11=31.25>>31.25 dollars. After 7 weeks, John has 20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11=36.45833333333333>>36.45833333333333 dollars. After 8 weeks, John has 20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11 = <<20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11+20/48*11=41.66666666666
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?
DeepSeek Math 7B Base:
Reasoning: Maria has 13/3 - 32/15 = <<(13/3)-(32/15)=1/15>>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?
DeepSeek Math 7B Base:
Reasoning: 20 pieces of lumber are 20*45/44 = <<20*45/44=20.272727272727273>>20.272727272727273 meters long. ### Answer: 20.272727272727273
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?
DeepSeek Math 7B Base:
Reasoning: The sprinter runs 34*14 = <<34*14=10.5>>10.5 miles in the first part. The sprinter runs 21*26 = <<21*26=10.5>>10.5 miles in the second part. The sprinter runs 10.5+10.5 = <<10.5+10.5=21>>21 miles in one hour from both parts together. ### Answer: 21
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?
DeepSeek Math 7B Base:
Reasoning: Tom has 30+14+25 = <<30+14+25=69>>69 dollars 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?
DeepSeek Math 7B Base:
Reasoning: Tom has 69+37/33 = <<69+37/33=70.09>>70.09 dollars now. ### Answer: 70.09
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?
DeepSeek Math 7B Base:
Reasoning: Jenny ran 41/32+11/4 = <<41/32+11/4=117/32>>117/32 miles in total. ### Answer: 117/32
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?
DeepSeek Math 7B Base:
Reasoning: John had $32 in his wallet. He then found a $33 bill on the floor. John has $32+$33 = <<32+33=65>>65 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?
DeepSeek Math 7B Base:
Reasoning: John had $3 in his wallet. He then found a $33 bill on the floor. John has $3+$33 = <<3+33=36>>36 now. John spent $36 to buy a video game. John had $36-$3 = <<36-3=33>>33 before buying the video game. ### Answer: 33
Expected answer: 36
Correct? No
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?
DeepSeek Math 7B Base:
Reasoning: Carrie rode her bike for 7+38/25 = <<7+38/25=103/25>>103/25 hours. Carrie covered 103/25*35 = <<103/25*35=1442/5>>1442/5 kilometers in total. ### Answer: 1442/5
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?
DeepSeek Math 7B Base:
Reasoning: John saved 17+10 = <<17+10=27>>27 dollars 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?
DeepSeek Math 7B Base:
Reasoning: John saved 27+14 = <<27+14=41>>41 dollars after 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?
DeepSeek Math 7B Base:
Reasoning: John saved 28+10 = <<28+10=38>>38 dollars 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?
DeepSeek Math 7B Base:
Reasoning: The car travels 41*20/11 = <<41*20/11=740/11>>740/11 miles. ### Answer: 740/11
Expected answer: 820/11
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: Johnnie's car uses 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?
DeepSeek Math 7B Base:
Reasoning: Johnnie's car uses 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 needs 304-17 = <<304-17=287>>287 more liters to complete his drive. ### Answer: 287
Expected answer: 287
Correct? Yes
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?
DeepSeek Math 7B Base:
Reasoning: Johnnie's car uses 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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: Joe should have distributed 27*19 = <<27*19=513>>513 pamphlets. Joe should have distributed 40*19 = <<40*19=760>>760 pamphlets. Joe should have distributed 760-513 = <<760-513=247>>247 pamphlets. ### Answer: 247
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?
DeepSeek Math 7B Base:
Reasoning: The farmer has 42-49/4 = <<42-49/4=23.25>>23.25 acres of land that is not fallow. The farmer harvested 16/5*23.25 = <<16/5*23.25=74.4>>74.4 bushels of corn from the land that was not fallow. ### Answer: 74.4
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?
DeepSeek Math 7B Base:
Reasoning: Jennifer has 21*31/34 = <<21*31/34=19.5>>19.5 gallons of lemonade after selling a full jug. ### Answer: 19.5
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?
DeepSeek Math 7B Base:
Reasoning: Jane cycles 11*45 = <<11*45=495>>495 km in 45 hours. 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?
DeepSeek Math 7B Base:
Reasoning: Jane cycles 496 km in total. 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?
DeepSeek Math 7B Base:
Reasoning: George has 21+21/39 = <<21+21/39=21.54>>21.54 dollars now. ### Answer: 21.54
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?
DeepSeek Math 7B Base:
Reasoning: John bikes 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?
DeepSeek Math 7B Base:
Reasoning: John bikes 46+41 = <<46+41=87>>87 miles altogether. John bikes 8+41 = <<8+41=49>>49 miles to the town of Nelson. ### 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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: John and his siblings each earn 4*39 = <<4*39=156>>156 dollars in total. Since there are 2 siblings, each of them earns 156/2 = <<156/2=78>>78 dollars. ### Answer: 78
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?
DeepSeek Math 7B Base:
Reasoning: Jack had 38+41/48+23/24 = <<38+41/48+23/24=38.541666666666666>>38.541666666666666 dollars. ### Answer: 38.541666666666666
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?
DeepSeek Math 7B Base:
Reasoning: Jenny drove 29*32/24 = <<29*32/24=32>>32 miles at a speed of 32/24 miles per hour. Jenny drove 32*43/15 = <<32*43/15=92.26666666666667>>92.26666666666667 miles at a speed of 32/24*43/15 miles per hour. Jenny drove 32+92.26666666666667 = <<32+92.26666666666667=124.26666666666667>>124.26666666666667 miles altogether. ### Answer: 124.26666666666667
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?
DeepSeek Math 7B Base:
Reasoning: There were 32/1 = <<32/1=32>>32 children in the class. Each child received 16/31 litres of paint. The total amount of paint distributed to all the students is 32*16/31 = <<32*16/31=15.384615384615385>>15.384615384615385 litres. ### Answer: 15.384615384615385
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?
DeepSeek Math 7B Base:
Reasoning: Bob has 3+3/7 = <<3+3/7=3.4285714285714286>>3.4285714285714286 dollars in total. ### Answer: 3.4285714285714286
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?
DeepSeek Math 7B Base:
Reasoning: Bob has 3+3/7+29/47 = <<3+3/7+29/47=3.8051948051948052>>3.8051948051948052 dollars in total. ### Answer: 3.8051948051948052
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?
DeepSeek Math 7B Base:
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. The total time Tom moved rocks was 0.4+1.25 = <<0.4+1.25=1.65>>1.65 hours. Tom moved rocks at a speed of 25/22 = <<25/22=1.1363636363636363>>1.1363636363636363 miles per hour. Tom moved 1.1363636363636363*1.65 = <<1.1363636363636363*1.65=1.8636363636363636>>1.8636363636363636 miles in total. ### Answer: 1.8636363636363636
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?
DeepSeek Math 7B Base:
Reasoning: The scientist mixes 10/42 + 32 = <<10/42+32=32.23809523809524>>32.23809523809524 liters of solution. She removes 4/28 = <<4/28=0.14285714285714285>>0.14285714285714285 liters of solution. She is left with 32.23809523809524 - 0.14285714285714285 = <<32.23809523809524-0.14285714285714285=32.09523809523809>>32.09523809523809 liters of solution. She extracts 11/29 = <<11/29=0.3793103448275862>>0.3793103448275862 of the remaining solution. She is left with 32.09523809523809 - 0.3793103448275862 = <<32.09523809523809-0.3793103448275862=31.715927750410504>>31.715927750410504 liters of solution. ### Answer: 31.715927750410504
Expected answer: 7414/609
Correct? No
Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?
DeepSeek Math 7B Base:
Reasoning: A 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?
DeepSeek Math 7B Base:
Reasoning: A 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?
DeepSeek Math 7B Base:
Reasoning: 23/35 + 50/41 = <<23/35+50/41=1.24>>1.24 gallons of juice were mixed together. 1.24 - 11/19 = <<1.24-11/19=0.21>>0.21 gallons of juice were left in the bottle. 28 - 0.21 = <<28-0.21=27.79>>27.79 gallons of juice were left in the bottle after subtracting 11/19 gallon which was drunk by a customer. ### Answer: 27.79
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?
DeepSeek Math 7B Base:
Reasoning: The cost of a custom design is 6/26 = <<6/26=0.23076923076923076923076923076923>>0.23076923076923076923076923076923. The total cost is 47+0.23076923076923076923076923076923 = <<47+0.23076923076923076923076923076923=47.23076923076923076923076923076923>>47.23076923076923076923076923076923. ### Answer: 47.23076923076923076923076923076923
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?
DeepSeek Math 7B Base:
Reasoning: The cost of a custom design is 6/26 = <<6/26=0.23076923076923076923076923076923>>0.23076923076923076923076923076923. The total cost is 47+0.23076923076923076923076923076923+14 = <<47+0.23076923076923076923076923076923+14=61.23076923076923076923076923076923>>61.23076923076923076923076923076923. ### Answer: 61.23076923076923076923076923076923
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?
DeepSeek Math 7B Base:
Reasoning: The drone can fly 3-50/43 = <<3-50/43=13/43>>13/43 kilometers with the package attached. The drone can fly 13/43+47/15 = <<13/43+47/15=100/129>>100/129 kilometers with the package and the additional booster attached. ### Answer: 100/129
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?
DeepSeek Math 7B Base:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18+22/9=43/18+44/18=87/18>>87/18 kilometers in a day. ### Answer: 87/18
Expected answer: 29/6
Correct? Yes
Problem: Ann has set a daily goal to run 20 kilometers. If she runs 43/18 kilometers every morning and 22/9 kilometers every evening, how many more kilometers does she need to run to meet her daily goal?
DeepSeek Math 7B Base:
Reasoning: Ann runs 43/18 + 22/9 = <<43/18+22/9=43/18+44/18=87/18>>87/18 kilometers in a day. She needs to run 20 - 87/18 = <<20-87/18=360/18-87/18=273/18>>273/18 kilometers to meet her daily goal. ### Answer: 273/18
Expected answer: 91/6
Correct? Yes
Problem: In the previous question, we learned that Ann has a daily goal to run 20 kilometers. But suppose instead of running 43/18 kilometers every morning, she runs 43/12 kilometers. If she still runs 22/9 kilometers every evening, how many kilometers does she run in total each day?
DeepSeek Math 7B Base:
Reasoning: Ann runs 43/12 + 22/9 = <<43/12+22/9=129/36+88/36=217/36>>217/36 kilometers in a day. ### Answer: 217/36
Expected answer: 217/36
Correct? Yes
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?
DeepSeek Math 7B Base:
Reasoning: A 19-gallon tank can travel 19*36 = <<19*36=684>>684 miles. ### 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?
DeepSeek Math 7B Base:
Reasoning: A 19-gallon tank can travel 19*50 = <<19*50=950>>950 miles. ### 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?
DeepSeek Math 7B Base:
Reasoning: John drove 18*36 = <<18*36=648>>648 miles in the first 36 hours. John drove 32/45 miles in the last hour. John drove 648+32/45 = <<648+32/45=650.2222222222222>>650.2222222222222 miles in total. ### Answer: 650.2222222222222
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?
DeepSeek Math 7B Base:
Reasoning: A car travels 40 / 31 miles per minute. A car travels 40 / 31 * 10 = <<40/31*10=129.03225806451613>>129.03225806451613 miles in 10 minutes. ### Answer: 129.03225806451613
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: Samuel has 17+30 = <<17+30=47>>47 dollars. 47/47 = <<47/47=1>>1 Euro. 33*1 = <<33*1=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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: Alex has $13/10 + $47/36 = <<13/10+47/36=1.3+1.3055555555555556=2.6055555555555556>>$2.6055555555555556. Alex has 43*2.6055555555555556 = <<43*2.6055555555555556=112.03333333333333>>$112.03333333333333. ### Answer: $112.03333333333333
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?
DeepSeek Math 7B Base:
Reasoning: John had saved 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?
DeepSeek Math 7B Base:
Reasoning: John had saved 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?
DeepSeek Math 7B Base:
Reasoning: Richard drank 33/48 of the wine, which is 33/48 * 33 = <<33/48*33=24.75>>24.75 ounces. Richard drank 26/30 of a liter of orange juice, which is 26/30 * 1000 = <<26/30*1000=866.6666666666667>>866.6666666666667 milliliters. Richard drank 2/36 of a liter of water, which is 2/36 * 1000 = <<2/36*1000=55.55555555555556>>55.55555555555556 milliliters. The total volume of the liquid he consumed is 24.75 + 866.6666666666667 + 55.55555555555556 = <<24.75+866.6666666666667+55.55555555555556=946.9622222222222>>946.9622222222222 milliliters. ### Answer: 946.9622222222222 milliliters
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?
DeepSeek Math 7B Base:
Reasoning: Jacob has $43+46+27/9 = <<43+46+27/9=96>>96 in his savings account now. ### Answer: 96
Expected answer: 92
Correct? No
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: James has 32-36/5 = <<32-36/5=16.4>>16.4 dollars left after his purchase. ### Answer: 16.4
Expected answer: 124/5
Correct? No
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?
DeepSeek Math 7B Base:
Reasoning: Tina paid 16/26 of 39 dollars. 16/26 of 39 = <<16/26*39=24>>24 dollars. ### 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?
DeepSeek Math 7B Base:
Reasoning: Tina paid 42/26 of 39 dollars. 42/26 of 39 = <<42/26*39=63>>63 dollars. ### 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?
DeepSeek Math 7B Base:
Reasoning: Jaden has $19 in his savings account. If his mother gives him $10 more, he 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.
DeepSeek Math 7B Base:
Reasoning: John's apple consumption rate is 17/8 = <<17/8=2.125>>2.125 pounds per day. John's apple juice consumption rate is 48/42 = <<48/42=1.1428571428571428>>1.1428571428571428 ounces per day. The ratio of John's apple to apple juice consumption is 2.125/1.1428571428571428 = <<2.125/1.1428571428571428=1.86>>1.86. ### Answer: 1.86
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?
DeepSeek Math 7B Base:
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. The remaining amount of money she had for gas is 38-12.5 = <<38-12.5=25.5>>25.5 dollars. The summation of the total miles Maria drove and the remaining amount of money she had for gas is 32/7+25.5 = <<32/7+25.5=70.35714285714286>>70.35714285714286. ### Answer: 70.35714285714286
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?
DeepSeek Math 7B Base:
Reasoning: The runner runs 17*49 = <<17*49=833>>833 miles in 49 days. ### 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?
DeepSeek Math 7B Base:
Reasoning: The runner runs 37*17 = <<37*17=629>>629 miles in 17 days. ### 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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: The toy car can now travel 37.825+45/29 = <<37.825+45/29=40.103>>40.103 kilometers on a single tank of fuel on an uphill road. ### Answer: 40.103
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?
DeepSeek Math 7B Base:
Reasoning: The toy car can now travel 37+33/38 = <<37+33/38=37.84210526315789>>37.84210526315789 kilometers on a single tank of fuel. ### Answer: 37.84210526315789
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?
DeepSeek Math 7B Base:
Reasoning: 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?
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?
DeepSeek Math 7B Base:
Reasoning: After 1 hour, the donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. The effective distance of the well from the village after 1 hour is 45-18/33 = <<45-18/33=44.24242424242424>>44.24242424242424 miles. ### Answer: 44.24242424242424
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?
DeepSeek Math 7B Base:
Reasoning: Clara had 30-25/6 = <<30-25/6=175/6>>175/6 dollars left after buying the ice cream. Clara spent 175/6*11/21 = <<175/6*11/21=175/12>>175/12 dollars on the book. ### Answer: 175/12
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?
DeepSeek Math 7B Base:
Reasoning: John walked 10*2*7 = <<10*2*7=140>>140 miles in 2 weeks. John walked 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?
DeepSeek Math 7B Base:
Reasoning: John walked 14*7*7 = <<14*7*7=686>>686 miles in 7 weeks. John walked 686+21 = <<686+21=707>>707 miles in total. ### 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?
DeepSeek Math 7B Base:
Reasoning: 18+41/14 = <<18+41/14=22.785714285714286>>22.785714285714286 48-22.785714285714286 = <<48-22.785714285714286=25.214285714285715>>25.214285714285715 ### Answer: 25.214285714285715
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?
DeepSeek Math 7B Base:
Reasoning: Jamie now has 47+47/41 = <<47+47/41=47.11627906976744>>47.12 dollars in her bank account. ### Answer: 47.12
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?
DeepSeek Math 7B Base:
Reasoning: Walter has 23/21+46 = <<23/21+46=100.14285714285714>>100.14285714285714 dollars after buying the pen. Walter had 100.14285714285714-23/21 = <<100.14285714285714-23/21=77.14285714285714>>77.14285714285714 dollars before buying the pen. ### Answer: 77.14285714285714
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?
DeepSeek Math 7B Base:
Reasoning: The farmer harvests 44/10*37 = <<44/10*37=162.8>>162.8 kilograms of honey in a day. The farmer sells 3/37*162.8 = <<3/37*162.8=12.8>>12.8 kilograms of honey in a day. ### Answer: 162.8 kilograms of honey, 12.8 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?
DeepSeek Math 7B Base:
Reasoning: Jessica earns 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?
DeepSeek Math 7B Base:
Reasoning: Jessica earns 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?
DeepSeek Math 7B Base:
Reasoning: Tim will have consumed 41/39*47 = <<41/39*47=49.33333333333333>>49.33333333333333 litres of fuel. ### Answer: 49.33333333333333
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?
DeepSeek Math 7B Base:
Reasoning: The cargo ship carries 17/26*39 = <<17/26*39=21.3>>21.3 tons of cargo for every one of its 39 containers. The cargo ship has 21.3*39+50/11 = <<21.3*39+50/11=828.3>>828.3 tons of cargo after it loads all 39 containers. ### Answer: 828.3
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?
DeepSeek Math 7B Base:
Reasoning: Jessie has 34+20 = <<34+20=54>>54 dollars now. ### 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?
DeepSeek Math 7B Base:
Reasoning: After 1 week, Jessie has 34+20 = <<34+20=54>>54 dollars. After 2 weeks, Jessie has 54+20 = <<54+20=74>>74 dollars. After 3 weeks, Jessie has 74+20 = <<74+20=94>>94 dollars. After 4 weeks, Jessie has 94+20 = <<94+20=114>>114 dollars. After 5 weeks, Jessie has 114+20 = <<114+20=134>>134 dollars. After 6 weeks, Jessie has 134+20 = <<134+20=154>>154 dollars. After 7 weeks, Jessie has 154+20 = <<154+20=174>>174 dollars. After 8 weeks, Jessie has 174+20 = <<174+20=194>>194 dollars. After 9 weeks, Jessie has 194+20 = <<194+20=214>>214 dollars. After 10 weeks, Jessie has 214+20 = <<214+20=234>>234 dollars. After 11 weeks, Jessie has 234+20 = <<234+20=254>>254 dollars. After 12 weeks, Jessie has 254+20 = <<254+20=274>>274 dollars. After 13 weeks, Jessie has 274+20 = <<274+20=294>>294 dollars. ### Answer: 294
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?
DeepSeek Math 7B Base:
Reasoning: Jessie has 45+20 = <<45+20=65>>65 dollars now. ### 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?
DeepSeek Math 7B Base:
Reasoning: Derek has 42+7 = <<42+7=49>>49 dollars 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?
DeepSeek Math 7B Base:
Reasoning: Derek has 42+12 = <<42+12=54>>54 dollars 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?
DeepSeek Math 7B Base:
Reasoning: The man spends 43-43/27 = <<43-43/27=34.22222222222222>>34.22222222222222 dollars on groceries. The man spends 34.22222222222222+13/36 = <<34.22222222222222+13/36=35.05555555555556>>35.05555555555556 dollars in total. ### Answer: 35.05555555555556
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?
DeepSeek Math 7B Base:
Reasoning: Jenna has 45+50-46/39 = <<45+50-46/39=100-46/39>>100-46/39 dollars left. ### Answer: 100-46/39
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?
DeepSeek Math 7B Base:
Reasoning: You have 27/6-5/40+21/26 = <<27/6-5/40+21/26=1.0000000000000002>>1.0000000000000002 gallons of water in the tank. ### Answer: 1.0000000000000002
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?
DeepSeek Math 7B Base:
Reasoning: If a car is traveling at a steady speed of 28 miles per hour, it 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?
DeepSeek Math 7B Base:
Reasoning: The car has traveled 28*20 = <<28*20=560>>560 miles in 20 hours. The car has traveled 28*20+22 = <<28*20+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?
DeepSeek Math 7B Base:
Reasoning: If a car is traveling at a steady speed of 28 miles per hour, it 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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: James has 19+49/44 = <<19+49/44=20.227272727272727>>20.227272727272727 dollars after working for an hour. ### Answer: 20.227272727272727
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?
DeepSeek Math 7B Base:
Reasoning: The old vendor charges $34/8 = <<34/8=4.25>>$4.25 per bag. The new vendor charges $19/30 = <<19/30=0.6333333333333333>>$0.63 per bag. The new vendor charges $4.25 - $0.63 = <<4.25-0.63=3.62>>$3.62 less per bag. ### Answer: $3.62
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
DeepSeek Math 7B Base:
Reasoning: Lisa spends $50/46 = <<50/46=1.0869565217391304>>$1.0869565217391304 per day. ### Answer: $1.0869565217391304
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?
DeepSeek Math 7B Base:
Reasoning: You drink 18/4 = <<18/4=4.5>>4.5 liters of juice. You drink 22/43*4.5 = <<22/43*4.5=2.25>>2.25 liters of juice. ### Answer: 2.25
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?
DeepSeek Math 7B Base:
Reasoning: John has 31-4 = <<31-4=27>>27 dollars 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?
DeepSeek Math 7B Base:
Reasoning: John has 27-23 = <<27-23=4>>4 dollars 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?
DeepSeek Math 7B Base:
Reasoning: The car's speed is 40+26/24 = <<40+26/24=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?
DeepSeek Math 7B Base:
Reasoning: James has 33/37+3/25 = <<33/37+3/25=0.9302325581395349>>0.9302325581395349 gallons of milk in total in the jug. ### Answer: 0.9302325581395349
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?
DeepSeek Math 7B Base:
Reasoning: The total time spent on the journey and the break is 43/17+31/4 = <<43/17+31/4=107/17>>107/17 hours. ### Answer: 107/17
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?
DeepSeek Math 7B Base:
Reasoning: Carrie's car consumes 41*49/48 = <<41*49/48=40.458333333333335>>40.458333333333335 liters of fuel to travel 49/48 hours. ### Answer: 40.458333333333335
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?
DeepSeek Math 7B Base:
Reasoning: Oscar spends 13/41 of $33. 13/41 of $33 = <<13/41*33=10.5>>$10.5. ### Answer: $10.5
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?
DeepSeek Math 7B Base:
Reasoning: The turtle travels 19/6*24 = <<19/6*24=76>>76 feet in 24 seconds. The turtle travels 76+20 = <<76+20=96>>96 feet in 24 seconds. ### 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?
DeepSeek Math 7B Base:
Reasoning: The turtle travels 19/6*33 = <<19/6*33=99>>99 feet in 33 seconds. The turtle travels 99+20 = <<99+20=119>>119 feet in 33 seconds. ### Answer: 119
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?
DeepSeek Math 7B Base:
Reasoning: Carlos poured 41/49 of 3 liters of orange juice into the container. 41/49 of 3 = <<41/49*3=123/49>>123/49 liters of orange juice. ### 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?
DeepSeek Math 7B Base:
Reasoning: Carlos poured 41/49 of 32 liters of orange juice into the container. 41/49 of 32 = <<41/49*32=1312/49>>1312/49 liters of orange juice. ### 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?
DeepSeek Math 7B Base:
Reasoning: The train travels 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?
DeepSeek Math 7B Base:
Reasoning: The train travels 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?
DeepSeek Math 7B Base:
Reasoning: Jenny has 3+4/37 = <<3+4/37=3.108108108108108>>3.108108108108108 dollars. ### Answer: 3.108108108108108
Expected answer: 115/37
Correct? Yes
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
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?
DeepSeek Math 7B Base:
Reasoning: 17/23 of a dollar is <<17/23=0.7391304347826086>>0.7391304347826086 dollars. You have 15-0.7391304347826086 = <<15-0.7391304347826086=14.260869565217391>>14.260869565217391 dollars left in your savings account after buying the sweet. ### Answer: 14.260869565217391
Expected answer: 328/23
Correct? Yes
Problem: In the previous scenario, you had $15 in your savings account and spent a certain amount on sweets. Now, consider a different situation where instead of spending 17/23 of a dollar on a small sweet, you actually spend 41/23 of a dollar. How much money would you have left in your savings account in this new scenario?
DeepSeek Math 7B Base:
Reasoning: 41/23 of a dollar is <<41/23=1.7826086956521738>>1.7826086956521738 dollars. You have 15-1.7826086956521738 = <<15-1.7826086956521738=13.217391304347826>>13.217391304347826 dollars left in your savings account after buying the sweet. ### Answer: 13.217391304347826
Expected answer: 304/23
Correct? Yes