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 Coder 33B:
Reasoning: Steve spent 38 dollars evenly over 8 days, so he spent 38/8 = <<38/8=4.75>>4.75 dollars per day. He received an extra 11 dollars, so he has 38+11 = <<38+11=49>>49 dollars. John spent the same amount of money as Steve had, so he spent 49/8 = <<49/8=6.125>>6.125 dollars per day. John found 25 dollars on the street, so he has 18+25 = <<18+25=43>>43 dollars. Therefore, John has 43 dollars now.
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 Coder 33B:
Reasoning: The coin is worth $27/30 of a dollar, which is $0.9. So, you have $45 + $0.9 = <<45+0.9=45.9>>45.9 dollars in total.
Expected answer: 459/10
Correct? Yes
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 Coder 33B:
Reasoning: The loose change amounts to $8/37 = <<8/37=0.2187>>0.2187 in dollars. John has $17 + $0.2187 = <<17+0.2187=17.2187>>17.2187 in total. ### Answer: 17.2187
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 Coder 33B:
Reasoning: Sally initially travels 47/50 * 1 = <<47/50*1=0.94>>0.94 miles. Sally then travels 31 miles. Every day for the next 28 days, she travels 31 miles. So, in total, she travels 0.94 + 31 + 31*28 = <<0.94+31+31*28=910.94>>910.94 miles. Then, she decides to detour and adds an extra 32/24 * 1 = <<32/24*1=1.33>>1.33 miles to her regular bike route. So, in total, she travels 910.94 + 1.33 = <<910.94+1.33=912.27>>912.27 miles.
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 Coder 33B:
Reasoning: The distance a train travels is the speed times the time. Distance = Speed * Time Distance = 47 miles/hour * 4 hours Distance = 47 * 4 = 188 miles ### 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 Coder 33B:
Reasoning: The distance a train travels is the speed times the time. Distance = Speed * Time Distance = 47 miles/hour * 18 hours Distance = 47 * 18 = 858 miles ### Answer: 858
Expected answer: 846
Correct? No
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 Coder 33B:
Reasoning: The truck can travel 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, the total distance the truck can travel before running out of fuel is 34/25 + 11 = <<34/25+11=45/25>>45/25 kilometers. If an additional 49 kilometers are added to the journey, the total distance would be 45/25 + 49 = <<45/25+49=94/25>>94/25 kilometers.
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 Coder 33B:
Reasoning: The energy drink increased John's jogging speed by 50/49 = <<50/49=1.02040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102
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 Coder 33B:
Reasoning: The truck driver adds 21/36 gallons of gas to his tank, which is equivalent to 21/36*36 = <<21/36*36=21>>21 gallons. Then, he adds 26/42 gallons of gas to his tank, which is equivalent to 26/42*36 = <<26/42*36=26>>26 gallons. The total amount of gas in the truck driver's tank is 9 (from the start) + 21 + 26 = <<9+21+26=56>>56 gallons. ### Answer: 56
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?
DeepSeek Coder 33B:
Reasoning: The additional money John earned from mowing his neighbor's lawn is 47/8 = <<47/8=5.875>>5.875 dollars. John now has 6+5.875 = <<6+5.875=11.875>>11.875 dollars in total.
Expected answer: 95/8
Correct? Yes
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 Coder 33B:
Reasoning: First, Matthew buys the toy robot for $5. Then, he receives $8 from his grandmother for his birthday. So, Matthew has $29 - $5 + $8 = <<29-5+8=22>>22 dollars now.
Expected answer: 32
Correct? No
Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?
DeepSeek Coder 33B:
Reasoning: A barrel of oil costs $16. So, 9 barrels of oil cost $16*9 = <<16*9=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?
DeepSeek Coder 33B:
Reasoning: The cost of a barrel of oil has increased to $30. So, the cost for the refinery to buy the same 9 barrels of oil would be $30*9 = <<30*9=270>>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 Coder 33B:
Reasoning: First, she expands the garden by 30 more feet. This makes the garden 11 + 30 = <<11+30=41>>41 feet long. Then, she further extends the garden by 30 divided by 13 = <<30/13=2.3076923076923075>>2.3076923076923075 feet. The total length of her garden after all the expansions is 41 + 2.3076923076923075 = <<41+2.3076923076923075=43.307692307692306>>43.307692307692306 feet. ### Answer: 43.307692307692306
Expected answer: 563/13
Correct? Yes
Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?
DeepSeek Coder 33B:
Reasoning: The supermarket is (25 / 41) miles closer to his work than his house. This means that the supermarket is (25 / 41) miles further away from his work than his house. The distance from his work to his house is (17 / 3) miles. So, the distance from his work to the supermarket is (17 / 3) + (25 / 41) = <<(17 / 3) + (25 / 41)=(17*41+25*3)/(3*41)=(687+75)/123=762/123=6.131578947368421 miles>>6.131578947368421 miles.
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 Coder 33B:
Reasoning: The bank initially had $12 in one-dollar bills. They received an additional $36 from a deposit, so they now have $12 + $36 = <<12+36=48>>48 one-dollar bills. They paid out $8, so they now have 48 - $8 = <<48-8=40>>40 one-dollar bills.
Expected answer: 40
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 Coder 33B:
Reasoning: The total amount of money Samantha found on the street is 46/41 = <<46/41=1.12381>>1.12381 dollars. The total amount of money Samantha has now in her bank account is 28 + 1.12381 = <<28+1.12381=39.12381>>39.12381 dollars. ### Answer: 39.12381
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 Coder 33B:
Reasoning: The little brother gave James 14/19 of a dollar, which is equivalent to 14/19*1 = <<14/19*1=0.7894736842105263>>0.7894736842105263 dollars. James now has 37 + 0.7894736842105263 = <<37+0.7894736842105263=37.789473684210526>>37.789473684210526 dollars. ### Answer: 37.789473684210526
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 Coder 33B:
Reasoning: The total amount of money Sophia spends every 28 days is 40 dollars. Therefore, she spends 40/28 = <<40/28=0.14285714285714285>>0.14285714285714285 dollars each day. ### Answer: 0.14285714285714285
Expected answer: 10/7
Correct? No
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 Coder 33B:
Reasoning: First, Roberto splits the juice into 17 equal parts. This means each part is 50/17 = <<50/17=3.0588235294117645>>3.0588235294117645 ounces. Then, he takes 34/44 of what is in the first container. This means he takes 34/44 * 3.0588235294117645 = <<34/44*3.0588235294117645=1.5294117647058823>>1.5294117647058823 ounces from the first container. So, the second container now contains 1.5294117647058823 ounces of juice.
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 Coder 33B:
Reasoning: First, we need to calculate how much money John needs to save to buy the game. This is $40 - $29 = <<40-29=11>>11. Then, we need to calculate how much money John will save in a week. This is 20/48 * 11 = <<20/48*11=0.4375*11=5.125>>5.125. After a year, John will have saved 5.125 * 52 = <<5.125*52=265.625>>265.625. Finally, we need to calculate how much money John will have in his investment account after a year. This is 41/11 * 265.625 = <<41/11*265.625=1099.730769230769>>1099.730769230769. Therefore, John will have $1099.730769230769 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?
DeepSeek Coder 33B:
Reasoning: The cost of the candy bar is 32/15 = <<32/15=2.13>>2.13 euros. Maria starts with 13/3 = <<13/3=4.33>>4.33 euros. After buying the candy bar, Maria has 4.33 - 2.13 = <<4.33-2.13=2.2>>2.2 euros left. ### Answer: 2.2
Expected answer: 11/5
Correct? Yes
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 Coder 33B:
Reasoning: Each piece of lumber is 45/44 meters long. So, 20 pieces of such lumber would be 20 * (45/44) = <<20*(45/44)=22.5>>22.5 meters in total.
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 Coder 33B:
Reasoning: The sprinter covers a distance of 34 miles in 14 hours, which means that in one hour he covers 34/14 = <<34/14=2.43>>2.43 miles. The sprinter covers a distance of 21 miles in 26 hours, which means that in one hour he covers 21/26 = <<21/26=0.81>>0.81 miles. The sprinter covers a total of 2.43 + 0.81 = <<2.43+0.81=3.24>>3.24 miles in one hour from both parts together.
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 Coder 33B:
Reasoning: Tom initially had $30, found $14, and received $25. So, Tom now has $30 - $14 + $25 = <<30-14+25=31>>31 dollars.
Expected answer: 69
Correct? No
Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?
DeepSeek Coder 33B:
Reasoning: Jenny ran 41/32 = <<41/32=1.2875>>1.2875 miles in the first round. Jenny ran 11/4 = <<11/4=2.75>>2.75 miles in the second round. Jenny ran 1.2875 + 2.75 = <<1.2875+2.75=4.0375>>4.0375 miles in total.
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 Coder 33B:
Reasoning: John had $32 initially. He then found a $33 bill. So, he now has $32 + $33 = <<32+33=65>>65 dollars. ### 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 Coder 33B:
Reasoning: If John only had $3 initially, he would have had $3 + $33 = <<3+33=36>>36 dollars. ### 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?
DeepSeek Coder 33B:
Reasoning: Carrie rode for 7+38/25 = <<7+38/25=10.28>>10.28 hours. Carrie covered 35*10.28 = <<35*10.28=358.5>>358.5 kilometers in total.
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 Coder 33B:
Reasoning: John saved $10 more than he had in January, so he saved $17 + $10 = <<17+10=27>>27 dollars in 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 Coder 33B:
Reasoning: John saved $14 more than he had in February, so he has $27 + $14 = <<27+14=41>>41 dollars in total after saving in March. ### Answer: 41
Expected answer: 41
Correct? Yes
Problem: If John initially saved $28 in January instead of $17 and added $10 more for the month of February as earlier, how much total money would he have saved after February?
DeepSeek Coder 33B:
Reasoning: John saved $10 more than he had in January, so he saved $28 + $10 = <<28+10=38>>38 dollars in 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 Coder 33B:
Reasoning: The car travels at a speed of 41 miles per hour. On a trip that lasts 20/11 hours, it travels a distance of 41 miles/hour * 20/11 hours = 82 miles. ### Answer: 82 miles
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 Coder 33B:
Reasoning: Tony has 38 books in his collection. If each book cost him 21 dollars, he spent 38*21 = <<38*21=798>>798 dollars in total on his book collection.
Expected answer: 798
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 Coder 33B:
Reasoning: The car uses 16 liters of gas every hour. If Johnnie drives continuously for 19 hours, he would use 16 liters of gas every hour for 19 hours. So, the total amount of gas used would be 16 liters/hour * 19 hours = <<16*19=288>>288 liters.
Expected answer: 304
Correct? No
Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?
DeepSeek Coder 33B:
Reasoning: Joe distributed 40 pamphlets each day. On day 19, he distributed 40 pamphlets. So, Joe distributed 40*19 = <<40*19=760>>760 pamphlets in total.
Expected answer: 760
Correct? Yes
Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?
DeepSeek Coder 33B:
Reasoning: The farmer has 42-49/4 = <<42-49/4=31.75>>31.75 acres of land that was not fallow. The farmer harvested 16/5*31.75 = <<16/5*31.75=130.625>>130.625 bushels of corn from the land that was not fallow. ### Answer: 130.625
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 Coder 33B:
Reasoning: The volume of lemonade in a jug is 21 gallons. After selling a jug, Jennifer receives 31/34 of the original volume. Therefore, she receives 31/34 * 21 gallons = <<31/34*21=19.64>>19.64 gallons. ### Answer: 19.64 gallons
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 Coder 33B:
Reasoning: Jane cycles at a rate of 11 km/h for 45 hours. This means she cycles 11 km/h * 45 hours = 495 km. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. So, Jane cycles 495 km + 1 km = 496 km in total.
Expected answer: 496
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 Coder 33B:
Reasoning: George found a bundle of change on the street worth $21/39 = <<21/39=0.534>>0.534. George had $21 initially, and he found a bundle of change on the street worth $0.534. So, George now has $21 + $0.534 = <<21+0.534=21.534>>21.534. ### Answer: 21.534
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 Coder 33B:
Reasoning: John biked 46 miles to Baker and then 41 miles to Nelson. John biked 46+41 = <<46+41=87>>87 miles total.
Expected answer: 87
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 Coder 33B:
Reasoning: John earns 4 dollars per hour. If he works for 9 hours, he earns 4*9 = <<4*9=36>>36 dollars in total.
Expected answer: 36
Correct? Yes
Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?
DeepSeek Coder 33B:
Reasoning: Jack earned 41/48 of a dollar = <<41/48=0.8695652173913043>>0.8695652173913043 dollars from recycling cans. Jack found a quarter = <<23/24=0.9583333333333334>>0.9583333333333334 dollars on the ground. Jack's total money now is 38 - 0.8695652173913043 + 0.9583333333333334 = <<38-0.8695652173913043+0.9583333333333334=38.083333333333332>>38.083333333333332 dollars. ### Answer: 38.083333333333332
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 Coder 33B:
Reasoning: The speed of Jenny increased by a factor of 43/15. So, the new speed is 32/24 * 43/15 = <<32/24*43/15=129/60>>129/60 miles per hour. The distance Jenny could travel with this new speed is 29 hours * 129/60 = <<29*129/60=44.25>>44.25 miles. ### Answer: 44.25 miles
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 Coder 33B:
Reasoning: The total amount of paint distributed to all the students is the number of children times the amount of paint each child received. Total amount of paint distributed = number of children * amount of paint each child received Total amount of paint distributed = 32 * 16/31 Total amount of paint distributed = 32 * 16/31 = <<32*16/31=4.892>>4.892 litres. ### Answer: 4.892 litres
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 Coder 33B:
Reasoning: Bob received 3/7 = <<3/7=0.42857142857142855>>0.42857142857142855 dollars. Bob has $3 + $0.42857142857142855 = <<3+0.42857142857142855=3.4285714285714284>>$3.4285714285714284 in total.
Expected answer: 24/7
Correct? Yes
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 Coder 33B:
Reasoning: The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. The total time Tom moved the rocks is the sum of the intervals for each rock. The total distance Tom moved the rocks is the total time multiplied by the speed at which he moved them. First, we need to convert the fractions to decimals. 20/50 = 0.4 hours 45/36 = 1.25 hours The total time Tom moved the rocks is 0.4 + 1.25 = <<0.4+1.25=1.65>>1.65 hours. The total distance Tom moved the rocks is 1.65 * 25/22 = <<1.65*25/22=2.695238095238095>>2.695238095238095 miles. So, Tom moved the rocks 2.695238095238095 miles today.
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 Coder 33B:
Reasoning: First, the scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. This mixture weighs 10/42 + 32 = <<10/42+32=32+32/42=10>>10 liters. Then, she removes 4/28 liters from this mixture. This leaves her with (10 - 4/28) = <<10-4/28=10-4/28=10-10/67.6=10-10/68=10-5/136.8=10-5/137=10-10/274=10-10/275=10-5/549.6=10-5/550=10-10/1100=10-10/1101=10-5/2200=10-5/2202=10-10/4402=10-10/4404=10-5/8804=10-5/8808=10-10/17616=10-10/17618=10-5/35236=10-5/35238=10-10/70476=10-10/70478=10-5/140956=10-5/140958=10-10/281916=10-10/281918=10-5/563836=10-5/563838=10-10/1127676=10-10/1127678=10-5/2255356=10-5/2255358=10-10/4510716=10-10/4510718=10-5/9021436=10-5/9021438=10-10/18042876=10-10/18042878=10-5/36085756=10-5/36085758=10-10/72171516=10-10/72171518=10-5/144343036=10-5/144343038=10-10/288686076=10-10/288686078=10-5/577372156=10-5/577372158=10-10/1154744316=10-10/1154744318=10-5/2309488636=10-5/2309488638=10-10/4618977276=10-10/4618977278=10-5/9237954556=10-5/9237954558=10-10/18475909116=10-10/18475909118=10-5/36951818236=10-5/36951818238=10-10/73903636476=10-10/73903636478=10-5/147807272956=10-5/147807272958=10-1
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 Coder 33B:
Reasoning: The factory produces 24 chairs in an hour. So, to find out how many chairs it would produce in 25 hours, we multiply the number of chairs produced in an hour by the number of hours. 24 chairs/hour * 25 hours = <<24*25=600>>600 chairs. ### 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 Coder 33B:
Reasoning: The factory produces 24 chairs per hour for 39 hours. So, to find out how many chairs it would produce in these 39 hours, we multiply the number of chairs produced per hour by the number of hours. 24 chairs/hour * 39 hours = <<24*39=928>>928 chairs.
Expected answer: 936
Correct? No
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 Coder 33B:
First, we need to find the total amount of juice in the two containers. The total amount of juice in the two containers is 23/35 + 50/41 = <<23/35+50/41=137/1435>>137/1435 gallons. Then, we need to find the amount of juice that can be transferred into the bottle. The amount of juice that can be transferred into the bottle is min(137/1435, 28) = <<min(137/1435, 28)=237/1435*28>>237/1435*28 gallons. Finally, we subtract the amount of juice that was drunk by the customer from the amount of juice in the bottle. The amount of juice left in the bottle is 237/1435*28 - 11/19 = <<237/1435*28-11/19=10043/1435-11/19=10043/1435*19-11/19=10043/1435*18>>10043/1435*18-11/19 gallons. So, the amount of space left in the bottle after subtracting 11/19 gallon which was drunk by a customer is 10043/1435*18-11/19 = <<10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*18-11/19=10043/1435*
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 Coder 33B:
Reasoning: The total cost of a custom design is the cost of the regular cake plus the additional fee for the design. The additional fee is $6 divided by the 26 available designs. So, the total cost is $47 plus $6 divided by 26. Python code: ```python regular_cake_cost = 47 additional_fee = 6 / 26 total_cost = regular_cake_cost + additional_fee ``` The total cost is $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?
DeepSeek Coder 33B:
Reasoning: The drone can fly 3 kilometers without any attachments. When it's carrying a delivery package, it can only fly 3 - 50 / 43 = <<3-50/43=2.79>>2.79 kilometers. When the drone is attached with an additional booster, it can fly an additional 47 / 15 = <<47/15=3.13>>3.13 kilometers. So, the drone can fly 2.79 + 3.13 = <<2.79+3.13=5.92>>5.92 kilometers with the package and the additional booster attached.
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 Coder 33B:
Reasoning: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. So, she runs (43/18) + (22/9) = <<(43/18)+(22/9)=11.5>>11.5 kilometers in a day.
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?
DeepSeek Coder 33B:
Reasoning: The car can travel 36 miles on a 1-gallon tank. If it has a 19-gallon tank, it can travel 36*19 = <<36*19=684>>684 miles without needing to refuel.
Expected answer: 684
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 Coder 33B:
Reasoning: John drove 18 miles each hour for 36 hours, so he drove 18*36 = <<18*36=648>>648 miles in total. He drove an extra distance of 32/45 miles, so he drove 648 + 32/45 = <<648+32/45=648+0.7111111111111111>>648.71111111111111 miles in total. ### Answer: 648.71111111111111
Expected answer: 29192/45
Correct? Yes
Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?
DeepSeek Coder 33B:
Reasoning: The car travels at a speed of 40 / 31 miles per minute. To find out how far it will travel in 10 minutes, we multiply the speed by the time. 10 minutes * (40 / 31) miles per minute = <<10*(40/31)=12.82>>12.82 miles. ### Answer: 12.82 miles
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 Coder 33B:
Reasoning: John's mom gives him 11 dollars more. So, John has 21 + 11 = <<21+11=32>>32 dollars now.
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 Coder 33B:
Reasoning: Samuel found $30 on the street. He has $17, so he has $17+$30 = <<17+30=47>>47 dollars. The exchange rate is $47 to 33 Euros. So, $47 is equivalent to <<47/47*33=33>>33 Euros. Therefore, Samuel will have 33 Euros.
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 Coder 33B:
Reasoning: Hannah has 5 piggy banks. Each piggy bank contains 34 coins. So, the total number of coins is 5 * 34 = <<5*34=170>>170.
Expected answer: 170
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 Coder 33B:
Reasoning: First, Alex finds $47/36 and adds it to his $13/10. This gives him $13/10 + $47/36 = <<13/10+47/36=100/36>>100/36. Then, Alex duplicates this amount by 43 times. This gives him 100/36 * 43 = <<100/36*43=13800/36>>13800/36. Finally, we simplify the fraction 13800/36 to get the final answer. Final answer: $<<13800/36=375>>375.
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 Coder 33B:
Reasoning: John initially saved 20 dollars and then lost 19 dollars. He now has 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 Coder 33B:
Reasoning: John initially saved 26 dollars and then lost 19 dollars. He now has 26 - 19 = <<26-19=7>>7 dollars.
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 Coder 33B:
Reasoning: Richard drank 33/48 * 33 = <<33/48*33=16.5>>16.5 ounces of wine. He drank 26/30 * 1 = <<26/30*1=0.8666666666666667>>0.8666666666666667 liters of orange juice. He drank 2/36 * 1 = <<2/36*1=0.05555555555555555>>0.05555555555555555 liters of water. The total volume of the liquid he consumed is 16.5 + 0.8666666666666667 + 0.05555555555555555 = <<16.5+0.8666666666666667+0.05555555555555555=17.422222222222223>>17.422222222222223 liters. ### Answer: 17.422222222222223 liters
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 Coder 33B:
Reasoning: Jacob initially has $43 in his savings account. He adds $46 to his account, so now he has $43+46 = <<43+46=89>>89 dollars. A few days later, he receives an additional $27/9 from his aunt, so now he has 89+27/9 = <<89+27/9=90.67>>90.67 dollars.
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 Coder 33B:
Reasoning: Jacob bought the toy for $22, so he spent $22. The remaining amount on his gift card is $35 - $22 = <<35-22=13>>13. ### 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 Coder 33B:
Jacob's gift card balance after receiving money from his grandmother is $13 (the remaining amount after Jacob bought the toy) + $36 = <<13+36=49>>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 Coder 33B:
Reasoning: Jacob bought the game for $15, so he spent $15. The remaining amount on his gift card is $35 - $15 = <<35-15=20>>20. ### 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 Coder 33B:
Reasoning: James spent 36/5 = <<36/5=7.2>>7.2 dollars on the 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: 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 Coder 33B:
Reasoning: Tina paid 16/26 of the total amount she spent, which is 39 dollars. Tina paid 16/26 * 39 = <<16/26*39=15.66>>15.66 dollars for the groceries. ### Answer: 15.66
Expected answer: 24
Correct? No
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 Coder 33B:
Reasoning: Jaden's savings account currently has $19. His mother gives him $10 more. The total amount in his savings account will be $19 + $10 = <<19+10=29>>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 Coder 33B:
Reasoning: The rate of consumption of apples is 17 pounds/8 days = <<17/8=2.125>>2.125 pounds per day. The rate of consumption of apple juice is 48 ounces/42 days = <<48/42=1.1428571428571428>>1.1428571428571428 pounds per day. The rate of consumption of apples to apple juice is 2.125/1.1428571428571428 = <<2.125/1.1428571428571428=1.8461538461538463>>1.8461538461538463 times. ### Answer: 1.8461538461538463 times
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 Coder 33B:
Reasoning: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. So, the total miles she drove is 8 hours * 4/7 miles per hour = <<8*4/7=16/7>>16/7 miles. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. So, the remaining amount of money she had for gas is 38 - 50/4 = <<38-50/4=-3>>-3 dollars. The summation of the total miles Maria drove and the remaining amount of money she had for gas is 16/7 + (-3) = <<16/7+-3=13/7-3=10/7>>10/7 miles and -3 dollars. ### Answer: 10/7 miles and -3 dollars
Expected answer: 421/14
Correct? No
Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?
DeepSeek Coder 33B:
Reasoning: The runner runs 17 miles each day. If they run the same distance for 49 days, they will run 17 miles * 49 days = <<17*49=833>>833 miles in total.
Expected answer: 833
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 Coder 33B:
Reasoning: The toy car can now travel 37 + 33/40 = <<37+33/40=37+0.825>>37.825 kilometers on a single tank of fuel after the modification. ### Answer: 37.825 kilometers
Expected answer: 1513/40
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 Coder 33B:
Reasoning: John traveled 1/31 of an hour = <<1/31=1/31>>1/31 hour by car. John traveled 30/12 hours = <<30/12=5/4>>5/4 hours by bus. John took a short break of 17/4 hours = <<17/4=17/4>>17/4 hours. John was on the move for 1/31 + 5/4 + 17/4 = <<1/31+5/4+17/4=115/12>>115/12 hours in total. ### Answer: 115/12 hours
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 Coder 33B:
Reasoning: The donkey can effectively reduce the distance by 18/33 miles per hour. After 1 hour, the effective distance of the well from the village is 45 - 18/33 = <<45-18/33=45-0.53846153846153844>>45 - 0.53846153846153844 miles. ### Answer: 45 - 0.53846153846153844 miles
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 Coder 33B:
Reasoning: Clara spent 25/6 = <<25/6=4.167>>4.167 dollars on ice cream. Her remaining money after buying the ice cream was 30 - 4.167 = <<30-4.167=25.833>>25.833 dollars. She spent 11/21 of her remaining money to buy a book, which is 11/21 * 25.833 = <<11/21*25.833=11.73>>11.73 dollars. ### Answer: 11.73
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 Coder 33B:
Reasoning: John walked 10 miles every day for 2 weeks, which is 10 miles/day * 7 days/week * 2 weeks = 140 miles. He still needed to walk an additional 21 miles to reach his destination. So, in total, he had to walk 140 + 21 = <<140+21=161>>161 miles.
Expected answer: 161
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 Coder 33B:
Reasoning: The total cost of the toy is 18 dollars plus 41/14 dollars = <<18+41/14=21.785714285714285>>21.785714285714285 dollars. Susan has 48 dollars in her pocket. After buying the toy, she has 48 - 21.785714285714285 = <<48-21.785714285714285=26.214285714285715>>26.214285714285715 dollars left. ### Answer: 26.214285714285715
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 Coder 33B:
Reasoning: The bank added a bonus of 47/41 = <<47/41=1.1578947368421053>>1.1578947368421053 dollars to Jamie's account. Jamie now has $47 + $1.1578947368421053 = <<47+1.1578947368421053=58.15789473684211>>$58.15789473684211 in her bank account.
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 Coder 33B:
Reasoning: Walter originally had 23/21*46 + <<23/21*46=39>>39 dollars. ### Answer: 39
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 Coder 33B:
Reasoning: The farmer harvests 44/10 * 37 = <<44/10*37=15.58>>15.58 kilograms of honey from each beehive. The farmer harvests 15.58 * 37 = <<15.58*37=597.86>>597.86 kilograms of honey in a day. The farmer sells 3/37 * 597.86 = <<3/37*597.86=85.93>>85.93 kilograms of honey in a day. ### Answer: 85.93
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 Coder 33B:
Reasoning: Jessica earns 29 dollars per hour. If she works for 14 hours, she will earn 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 Coder 33B:
Reasoning: Jessica now earns 40 dollars per hour. If she works for 14 hours, she will earn 40*14 = <<40*14=560>>560 dollars.
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 Coder 33B:
Reasoning: Tim's car uses 41/39 liters of fuel per minute. If he drives for 47 minutes, he will have consumed 41/39 * 47 = <<41/39*47=43.71>>43.71 liters of fuel.
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 Coder 33B:
Reasoning: The cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. So, the total tonnage of the cargo it can carry is 17 / 26 * 39 = <<17/26*39=32.65>>32.65 tons. The existing cargo load of the ship is 50 / 11 tons. The total tonnage of the cargo on the ship after it loads all 39 containers is the total tonnage of the cargo it can carry plus the existing cargo load. So, the total tonnage of the cargo on the ship after it loads all 39 containers is 32.65 + 50 / 11 = <<32.65+50/11=43.23>>43.23 tons.
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 Coder 33B:
Reasoning: Jessie received $20 from her grandma. Jessie had $34 before receiving the money. Jessie now has $34 + $20 = <<34+20=54>>54 dollars. ### 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 Coder 33B:
Reasoning: Jessie saves $34 in the first week. In the second week, she saves $34 + $20 = <<34+20=54>>54 dollars. In the third week, she saves $54 + $20 = <<54+20=74>>74 dollars. This pattern continues for 13 weeks. The total amount Jessie saves is $34 + $54 + $74 + $94 + $114 + $134 + $154 + $174 + $194 + $214 + $234 + $254 + $274 = <<34+54+74+94+114+134+154+174+194+214+234+254+274=2802>>2802 dollars. ### Answer: 2802
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 Coder 33B:
Reasoning: Jessie received $20 from her grandma. Jessie had $45 before receiving the money. Jessie now has $45 + $20 = <<45+20=65>>65 dollars.
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 Coder 33B:
Reasoning: Derek has $42 saved up and his grandmother gives him an additional $7. Derek has $42 + $7 = <<42+7=49>>$49 in total now.
Expected answer: 49
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 Coder 33B:
Reasoning: The man gets a discount of 43/27 dollars on groceries. So, the actual cost of groceries is 43 - 43/27 = <<43-43/27=43-1.5929=41.4071>>41.4071 dollars. The cost of the book is 13/36 dollars. The total cost is 41.4071 + 13/36 = <<41.4071+13/36=41.4071+0.3611=41.7682>>41.7682 dollars. ### Answer: 41.7682 dollars
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 Coder 33B:
Reasoning: Jenna spent $46/39 = <<46/39=1.168>>1.168 dollars on the novel. Jenna has $45+$50-1.168 = <<45+50-1.168=83.832>>83.832 dollars left. ### Answer: 83.832
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 Coder 33B:
Reasoning: First, you pour out 5/40 gallons of water from the tank. This leaves you with 27/6 - 5/40 = <<27/6-5/40=27/6-1/8=27*8/6*8-1/8=27*4-1=107-1=106>>106/6 = 17.666666666666668 gallons of water. Then, you add 21/26 gallons more. This makes the total amount of water in the tank 17.666666666666668 + 21/26 = <<17.666666666666668+21*6/26*6=17.666666666666668+21/13=17.666666666666668+1.6153846153846154=19.282051721153847>>19.282051721153847 gallons of water. ### Answer: 19.282051721153847
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 Coder 33B:
Reasoning: The distance a car travels is the speed times the time. So, the distance = 28 miles/hour * 20 hours = <<28*20=560>>560 miles. ### 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 Coder 33B:
Reasoning: The car has already traveled 560 miles in 20 hours at a speed of 28 miles per hour. After that, it has traveled an additional 22 miles. So, the total distance traveled is 560 miles + 22 miles = <<560+22=582>>582 miles.
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 Coder 33B:
Reasoning: The distance a car travels is the speed times the time. So, the distance = 28 miles/hour * 32 hours = <<28*32=896>>896 miles.
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 Coder 33B:
Reasoning: Tom bought a book for 19 dollars, so he spent 19 dollars. The remaining money in his wallet is 48 - 19 = <<48-19=29>>29 dollars. ### 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 Coder 33B:
Reasoning: Tom initially spent 30 dollars on a more expensive book. The remaining money in his wallet is 48 - 30 = <<48-30=18>>18 dollars.
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 Coder 33B:
Reasoning: James earns 49/44 = <<49/44=1.125>>1.125 dollars per hour. After working for an hour, James will earn 1.125 dollars. So, he will have 19 + 1.125 = <<19+1.125=20.125>>20.125 dollars in his account. ### Answer: 20.125
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 Coder 33B:
Reasoning: The new vendor charges $19 per 30 bags, which is equivalent to $19/30 per bag. The old vendor charges $34 per 8 bags, which is equivalent to $34/8 per bag. The difference in price per bag is $19/30 - $34/8 = <<19/30-34/8=-5/120>>-5/120. Therefore, the new vendor charges $5/120 = <<5/120=0.0417>>0.0417 less per bag.
Expected answer: 217/60
Correct? No
Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?
DeepSeek Coder 33B:
Reasoning: Lisa spends $50 for 46 days. So, to find out how much she spends per day, we divide the total amount she spent by the number of days. $50 � 46 = <<50/46=0.10810810810810811>>0.10810810810810811 Therefore, Lisa spends $0.10810810810810811 per day.
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 Coder 33B:
Reasoning: The bottle contains 22/43 * 43 = <<22/43*43=22>>22 liters of juice. If you drink 18/4 of the bottle, you drink 18/4 * 22 = <<18/4*22=15.4>>15.4 liters of juice. ### Answer: 15.4
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 Coder 33B:
Reasoning: John spent $4 on a chocolate bar. So, he had $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 Coder 33B:
Reasoning: John spent $4 on a chocolate bar and bought a book that costs $23. So, he had $31 - $4 - $23 = <<31-4-23=6>>6 dollars left.
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?
DeepSeek Coder 33B:
Reasoning: The car's speed increases by 26/24 miles every hour. So, after one hour, the car's speed would be 40 + 26/24 = <<40+26/24=40+1.083333333333333>>41.083333333333333 miles per hour. ### Answer: 41.083333333333333
Expected answer: 493/12
Correct? Yes
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 Coder 33B:
Reasoning: The jug originally contained 33/37 gallons. James added 3/25 gallons of milk. The total amount of milk in the jug is 33/37 + 3/25 = <<33/37+3/25=100/675+9/675>>100/675+9/675 = 109/675 gallons. ### Answer: 109/675
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 Coder 33B:
Reasoning: The total time spent on the journey and the break is 43/17 + 31/4 = <<43/17+31/4=100/4>>100/4 hours. ### Answer: 100/4 hours
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 Coder 33B:
Reasoning: Carrie's car consumes 41 liters of fuel to travel 1 hour. So, if she has driven for 49/48 hours, she has consumed 41/1 * 49/48 = <<41/1*49/48=41.020833333333333>>41.020833333333333 liters of fuel. ### Answer: 41.020833333333333 liters
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 Coder 33B:
Reasoning: Oscar spends 13/41 * 33 = <<13/41*33=19.675>>19.675 dollars on the video game. ### Answer: 19.675
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 Coder 33B:
Reasoning: The turtle travels at a speed of 19/6 feet per second. In 24 seconds, it would travel 19/6*24 = <<19/6*24=86.66666666666667>>86.66666666666667 feet. If it starts 20 feet ahead from the starting point, it would travel 86.66666666666667 + 20 = <<86.66666666666667+20=106.66666666666667>>106.66666666666667 feet. ### Answer: 106.66666666666667
Expected answer: 96
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 Coder 33B:
Reasoning: The container has a capacity of 3 liters. Carlos filled it with orange juice to 41/49 of its capacity. This means he filled the container with 3*(41/49) = <<3*(41/49)=0.98>>0.98 liters of orange juice.
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?
DeepSeek Coder 33B:
Reasoning: The distance covered by a train is the speed of the train multiplied by the time. Distance = Speed * Time Distance = 39 km/h * 5 h = <<39*5>>195 km ### Answer: 195 kilometers
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 Coder 33B:
Reasoning: The distance covered by a train is the speed of the train multiplied by the time. Distance = Speed * Time Distance = 16 km/h * 5 h = <<16*5>>80 km ### Answer: 80 kilometers
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 Coder 33B:
Reasoning: The coin is worth 4/37 = <<4/37=0.105>>0.105 dollars. Jenny has $3 + $0.105 = <<3+0.105=3.105>>$3.105 altogether. ### Answer: $3.105
Expected answer: 115/37
Correct? No
Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?
DeepSeek Coder 33B:
Reasoning: Henry saved $17 each week. So, he 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 Coder 33B:
Reasoning: Henry saves $37 each week. So, he saves $37*5 = <<37*5=185>>185 dollars in 5 weeks.
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 Coder 33B:
Reasoning: The amount of money spent on the sweet is 17/23 of a dollar, which is 17/23*1 = <<17/23*1=0.7391304347826086>>0.7391304347826086 dollars. The amount of money left in the savings account is 15 - 0.7391304347826086 = <<15-0.7391304347826086=14.26086956521739>>14.26086956521739 dollars. ### Answer: 14.26086956521739
Expected answer: 328/23
Correct? Yes