Common Core Standard 5.NF.A.1
This standard covers the following:
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
Problem: John has been learning to add and subtract fractions at school. He was given a problem during his homework that puzzled him. He had to take the sum of 48/56 and 95/23 and then subtract 34/26 from the result. What was the value that John found for this operation? Answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: 48/56 + 95/23 = <<48/56+95/23=1.5115384615384615>>1.5115384615384615 1.5115384615384615 - 34/26 = <<1.5115384615384615-34/26=0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Expected answer: 7702/2093
Correct? No
Problem: First, add the fractions 88/9 and 28/65. Then subtract the fraction 18/37 from the result. What is the result expressed as a simple fraction?
DeepSeek Math 7B Base:
Reasoning: 88/9 + 28/65 = <<88/9+28/65=10004/585>>10004/585 10004/585 - 18/37 = <<10004/585-18/37=10004/585-1026/585>>10004/585 - 1026/585 = <<10004/585-1026/585=9978/585>>9978/585 9978/585 = <<9978/585=172/105>>172/105 ### Answer: 172/105
Expected answer: 210434/21645
Correct? No
Problem: What is the result of (63 / 41) + (44 / 50) when simplified to the lowest terms?
DeepSeek Math 7B Base:
Reasoning: (63 / 41) + (44 / 50) = <<(63/41)+(44/50)=1.4901960784313725>>1.4901960784313725 ### Answer: 1.4901960784313725
Expected answer: 2477/1025
Correct? No
Problem: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. How much cake is there in total? Give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. The total amount of cake is 71/41 + 41/77 = <<71/41+41/77=112/77>>112/77. ### Answer: 112/77
Expected answer: 7148/3157
Correct? No
Problem: Calculate the result of 10/65 + 56/35. Answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: 10/65 + 56/35 = 10/65 + <<112/65=1.723076923076923>>112/65 = 112/65. ### Answer: 112/65
Expected answer: 114/65
Correct? No
Problem: What is the result of adding 75/81 and 97/47? Leave your answer as an unsimplified fraction.
DeepSeek Math 7B Base:
Reasoning: 75/81 + 97/47 = <<75/81+97/47=172/128>>172/128. ### Answer: 172/128
Expected answer: 3794/1269
Correct? No
Problem: What is 88/1 - 38/53? Give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 88/1 - 38/53 = <<88/1-38/53=5006/53>>5006/53. ### Answer: 5006/53
Expected answer: 4626/53
Correct? No
Problem: Evaluate the expression ((80 / 94) + (78 / 59)). What is the answer in simplified form?
DeepSeek Math 7B Base:
Reasoning: ((80 / 94) + (78 / 59)) = <<(80/94)+(78/59)=1.2016806722689072>>1.2016806722689072 ### Answer: 1.2016806722689072
Expected answer: 6026/2773
Correct? No
Problem: What is the sum of 89/56 and 48/50? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 89/56 + 48/50 = <<89/56+48/50=1.511764705882353>>1.511764705882353 ### Answer: 1.511764705882353
Expected answer: 3569/1400
Correct? No
Problem: What is the result when you subtract 38/87 from the sum of 96/11 and 12/5? Please leave your answer as a fraction.
DeepSeek Math 7B Base:
Reasoning: The sum of 96/11 and 12/5 is 96/11 + 12/5 = <<(96*5+12*11)/(11*5)=108/55>>108/55. Subtracting 38/87 from 108/55 gives 108/55 - 38/87 = <<(108*87-38*55)/(55*87)=1002/4785>>1002/4785. ### Answer: 1002/4785
Expected answer: 51154/4785
Correct? No
Problem: If you have a number that's 82 divided by 9 and from this you subtract 82 divided by 63, what's the resulting value? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 82/9 - 82/63 = <<82/9-82/63=14/9>>14/9 ### Answer: 14/9
Expected answer: 164/21
Correct? No
Problem: Calculate the value of 23/3 minus the sum of 80/91 and 26/24. Answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: 23/3 - (80/91 + 26/24) = 23/3 - (80/91 + 13/12) = 23/3 - (80/91 + 91/91) = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171/91 = 23/3 - 171
Expected answer: 6229/1092
Correct? No
Problem: What is the sum of 37/18 and 24/60 when simplified to the lowest terms?
DeepSeek Math 7B Base:
Reasoning: 37/18 = <<37/18=1.5555555555555556>>1.5555555555555556 24/60 = <<24/60=0.4>>0.4 1.5555555555555556+0.4 = <<1.5555555555555556+0.4=1.9555555555555556>>1.9555555555555556 ### Answer: 1.9555555555555556
Expected answer: 221/90
Correct? No
Problem: Determine the sum of 33/41 and 95/62. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 33/41 + 95/62 = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33*62+95*41)/(41*62)>>(33*62+95*41)/(41*62) = <<(33*62+95*41)/(41*62)=>(33
Expected answer: 5941/2542
Correct? No
Problem: Solve ((30 / 11) + (72 / 38)) and then add the result to (81 / 34). Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((30 / 11) + (72 / 38)) = <<(30/11)+(72/38)=>>1.04104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104
Expected answer: 49773/7106
Correct? No
Problem: What is the result of adding (64 / 34) + (3 / 24) and then adding the result to (41 / 96)? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (64 / 34) + (3 / 24) = <<(64/34)+(3/24)=1.03125>>1.03125 (1.03125) + (41 / 96) = <<(1.03125)+(41/96)=1.484375>>1.484375 ### Answer: 1.484375
Expected answer: 3973/1632
Correct? No
Problem: Daniel has to solve a math problem for his homework that includes fractions. Initially, he has been asked to add 83/73 and 53/77. The result of this step he saved as 'w'. Then, he needs to add 80/76 to the result 'w'. How would he calculate the final answer in simplified fraction form?
DeepSeek Math 7B Base:
Reasoning: Daniel needs to add 83/73 and 53/77. 83/73 + 53/77 = <<83/73+53/77=136/150>>136/150 Daniel saved the result of this step as 'w'. w = 136/150 Then, he needs to add 80/76 to the result 'w'. w + 80/76 = <<136/150+80/76=104/115>>104/115 The final answer is 104/115. ### Answer: 104/115
Expected answer: 307360/106799
Correct? No
Problem: Add the following fractions and simplify your answer: 27/20 and 14/66.
DeepSeek Math 7B Base:
Reasoning: 27/20 + 14/66 = 27*33/20*33 + 14*10/66*10 = 891/660 + 140/660 = 1031/660. 1031/660 cannot be simplified further. ### Answer: 1031/660
Expected answer: 1031/660
Correct? Yes
Problem: You previously added the fractions 27/20 and 14/66. Now, add the result to the fraction 58/18 and simplify your answer.
DeepSeek Math 7B Base:
Reasoning: 1031/660 + 58/18 = 1031*3/660*3 + 58*10/18*10 = 3093/1980 + 580/1980 = 3673/1980. 3673/1980 cannot be simplified further. ### Answer: 3673/1980
Expected answer: 9473/1980
Correct? No
Problem: Previously, you added the fractions 27/20 and 14/66. Let's change the problem slightly. Now, instead of 14/66, consider a fraction of 14/41. Add 27/20 and 14/41 together and simplify your answer.
DeepSeek Math 7B Base:
Reasoning: 27/20 + 14/41 = 27*41/20*41 + 14*20/41*20 = 1107/820 + 280/820 = 1387/820. 1387/820 cannot be simplified further. ### Answer: 1387/820
Expected answer: 1387/820
Correct? Yes
Problem: What is the result of the expression ((32 / 14) - (22 / 47))? Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((32 / 14) - (22 / 47)) = <<(32/14)-(22/47)=1.0035573122529644>>1.0035573122529644 ### Answer: 1.0035573122529644
Expected answer: 598/329
Correct? No
Problem: What is the sum of 74/61 and 41/53 expressed in fractions?
DeepSeek Math 7B Base:
Reasoning: 74/61 + 41/53 = <<74/61+41/53=1.3015873015873016>>1.3015873015873016 ### Answer: 1.3015873015873016
Expected answer: 6423/3233
Correct? No
Problem: First, find out the result of 94 / 2 - 74 / 57. Then add the result to 56 / 97. What fraction do you get?
DeepSeek Math 7B Base:
Reasoning: 94 / 2 - 74 / 57 = <<94/2-74/57=1.0000000000000002>>1.0000000000000002. 1.0000000000000002 + 56 / 97 = <<1.0000000000000002+56/97=1.5723270440251572>>1.5723270440251572. ### Answer: 1.5723270440251572
Expected answer: 255877/5529
Correct? No
Problem: What is the sum of 14/89 and the sum of 24/34 and 44/87? Give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 14/89 + (24/34 + 44/87) = 14/89 + (<<24/34+44/87=1.0000000000000002>>1.0000000000000002) = 14/89 + <<1.0000000000000002=1.0000000000000002>>1.0000000000000002 = <<14/89+1.0000000000000002=1.1403508771929824>>1.1403508771929824 ### Answer: 1.1403508771929824
Expected answer: 180194/131631
Correct? No
Problem: What would you get if you add 73/30 to 8/60?
DeepSeek Math 7B Base:
Reasoning: 73/30 + 8/60 = <<73/30+8/60=11/5>>11/5. ### Answer: 11/5
Expected answer: 77/30
Correct? No
Problem: Suppose you have the following three fractions: 82/49, 45/60, and 99/59. If you add the first fraction (82/49) with the second one (45/60), call this result 'd'. Then, add 'd' to the third fraction (99/59). What would be the resulting sum? Please provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 82/49 + 45/60 = <<82/49+45/60=1.6161616161616162>>1.6161616161616162. 1.6161616161616162 + 99/59 = <<1.6161616161616162+99/59=3.0067796610169492>>3.0067796610169492. ### Answer: 3.0067796610169492
Expected answer: 47429/11564
Correct? No
Problem: Solve the following two steps: first, subtract 76/30 from 91/16 and second, add the answer to 18/44. Round the final answer to the nearest hundredth.
DeepSeek Math 7B Base:
Reasoning: 91/16 - 76/30 = <<(91*30-76*16)/480=107/480>>107/480 107/480 + 18/44 = <<(107*11+18*480)/5280=1001/5280>>1001/5280 1001/5280 = <<1001/5280=0.19>>0.19 ### Answer: 0.19
Expected answer: 9407/2640
Correct? No
Problem: Calculate the result of ((8 / 91) + (49 / 5)) and subtract (32 / 76) from the result. Provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((8 / 91) + (49 / 5)) = <<(8/91)+(49/5)=1.0000000000000002>>1.0000000000000002 (1.0000000000000002 - (32 / 76)) = <<(1.0000000000000002-(32/76))=-0.0000000000000001>>-0.0000000000000001 ### Answer: -0.0000000000000001
Expected answer: 81841/8645
Correct? No
Problem: Calculate the value of ((75 / 45) + (5 / 49)) first. Then add this value with 3 / 58. Provide the answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: ((75 / 45) + (5 / 49)) = <<(75/45)+(5/49)=154/2205>>154/2205. ((75 / 45) + (5 / 49)) + (3 / 58) = <<(154/2205)+(3/58)=1000/1278>>1000/1278. ### Answer: 1000/1278
Expected answer: 15521/8526
Correct? No
Problem: Calculate the answer to ((43 / 15) - (33 / 95)) and simplify it to its lowest terms.
DeepSeek Math 7B Base:
Reasoning: ((43 / 15) - (33 / 95)) = <<(43/15)-(33/95)=0.13333333333333333>>0.13333333333333333 ### Answer: 0.13333333333333333
Expected answer: 718/285
Correct? No
Problem: What is the sum of ((78 / 45) + (89 / 36)) added to itself? Answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: ((78 / 45) + (89 / 36)) = <<(78/45)+(89/36)=1.75>>1.75 1.75 + 1.75 = <<1.75+1.75=3.5>>3.5 ### Answer: 3.5
Expected answer: 757/90
Correct? No
Problem: Let's consider that 93 is divided by 34 to get a fraction value, from which is subtracted another fraction 77/74. What would be the result as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 93/34 - 77/74 = <<93/34-77/74=1/2>>1/2. ### Answer: 1/2
Expected answer: 1066/629
Correct? No
Problem: Find the sum of 86/35 and 68/85. Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 86/35 + 68/85 = <<86/35+68/85=154/35>>154/35 = 2 <<154/35=2>>2/5. ### Answer: 2/5
Expected answer: 114/35
Correct? No
Problem: What is the sum of 99/53 and 67/94 in simplest form?
DeepSeek Math 7B Base:
Reasoning: 99/53 + 67/94 = <<(99*94+67*53)/(53*94)=163/53>>163/53 ### Answer: 163/53
Expected answer: 12857/4982
Correct? No
Problem: What is the simplified form of the fraction that results from 74/27 minus 56/33?
DeepSeek Math 7B Base:
Reasoning: 74/27 - 56/33 = <<74/27-56/33=10/99>>10/99 ### Answer: 10/99
Expected answer: 310/297
Correct? No
Problem: Find the result when you subtract 91/65 from the sum of 96/40 and 11/99. Leave your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 96/40 + 11/99 = <<96/40+11/99=107/30>>107/30 107/30 - 91/65 = <<107/30-91/65=13/30>>13/30 ### Answer: 13/30
Expected answer: 10/9
Correct? No
Problem: Calculate the sum of the following expressions: 1) Divide 10 by 5 and add that result to 35 divided by 27. This will give you a value h. 2) Then, add 47 divided by 99 to h. This will give you a value p. What is the value of p?
DeepSeek Math 7B Base:
Reasoning: 1) 10/5 = <<10/5=2>>2, 35/27 = <<35/27=1.2962962962962962962962962962963>>1.2962962962962962962962962962963, 2+1.2962962962962962962962962962963 = <<2+1.2962962962962962962962962962963=3.2962962962962962962962962962963>>3.2962962962962962962962962962963. 2) 47/99 = <<47/99=0.47474747474747474747474747474747>>0.47474747474747474747474747474747, 3.2962962962962962962962962962963+0.47474747474747474747474747474747 = <<3.2962962962962962962962962962963+0.47474747474747474747474747474747=3.770943980443980443980443980444>>3.770943980443980443980443980444. ### Answer: 3.770943980443980443980443980444
Expected answer: 1120/297
Correct? No
Problem: Consider the fraction 90/81. Add it to 2/66 and simplify your answer to the simplest form. What is the result?
DeepSeek Math 7B Base:
Reasoning: 90/81 = <<90/81=10/9>>10/9 2/66 = <<2/66=1/33>>1/33 10/9 + 1/33 = <<10/9+1/33=11/9>>11/9 ### Answer: 11/9
Expected answer: 113/99
Correct? No
Problem: If Oliver has a piece of ribbon that is 56/41 yards long and he gets another piece of the same length, how long would both pieces of ribbon be together?
DeepSeek Math 7B Base:
Reasoning: Oliver has 56/41 yards of ribbon. He gets another 56/41 yards of ribbon. 56/41 + 56/41 = <<56/41+56/41=112/41>>112/41 yards of ribbon altogether. ### Answer: 112/41
Expected answer: 112/41
Correct? Yes
Problem: If Oliver receives two more pieces of ribbon, with each being 56/41 yards long, how long would all the pieces of ribbon be when added together?
DeepSeek Math 7B Base:
Reasoning: Oliver has 56/41 yards of ribbon. He gets another 56/41 yards of ribbon. 56/41 + 56/41 = <<56/41+56/41=112/41>>112/41 yards of ribbon altogether. He gets another 56/41 yards of ribbon. 112/41 + 56/41 = <<112/41+56/41=168/41>>168/41 yards of ribbon altogether. ### Answer: 168/41
Expected answer: 224/41
Correct? No
Problem: If Oliver initially had a piece of ribbon that was 63/41 yards long instead of 56/41 yards, and he still receives a second piece of the same length, how long would both pieces of ribbon be when put together?
DeepSeek Math 7B Base:
Reasoning: Oliver has 63/41 yards of ribbon. He gets another 63/41 yards of ribbon. 63/41 + 63/41 = <<63/41+63/41=126/41>>126/41 yards of ribbon altogether. ### Answer: 126/41
Expected answer: 126/41
Correct? Yes
Problem: What is the result of 92/75 + 66/92? Please give your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 92/75 + 66/92 = <<92/75+66/92=1.3006666666666666>>1.3006666666666666 ### Answer: 1.3006666666666666
Expected answer: 6707/3450
Correct? No
Problem: What is the sum of 32/65 and 73/22? Leave your answer as an unsimplified fraction.
DeepSeek Math 7B Base:
Reasoning: 32/65 + 73/22 = <<(32*22+73*65)/(65*22)=1001/1430>>1001/1430 ### Answer: 1001/1430
Expected answer: 5449/1430
Correct? No
Problem: What is the difference between 51/34 and 12/86? Express your answer in its simplest form.
DeepSeek Math 7B Base:
Reasoning: 51/34 = <<51/34=1.5>>1.5 12/86 = <<12/86=0.14035087719298245>>0.14035087719298245 The difference between 51/34 and 12/86 is 1.5-0.14035087719298245 = <<1.5-0.14035087719298245=1.3596491228070175>>1.3596491228070175 ### Answer: 1.3596491228070175
Expected answer: 117/86
Correct? No
Problem: First take the whole number 51 and add it to the fraction 93/8. Take that sum and add it to the fraction 58/44. What is the final result as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 51+93/8+58/44 = <<51+93/8+58/44=1001/8>>1001/8 1001/8 = <<1001/8=125 1/8>>125 1/8 ### Answer: 125 1/8
Expected answer: 5627/88
Correct? No
Problem: Calculate the result of the following fraction subtraction: 82/5 - 98/25. Write the answer in the simplest form.
DeepSeek Math 7B Base:
Reasoning: 82/5 - 98/25 = 82*5/5*5 - 98/25 = 410/25 - 98/25 = 312/25 = <<312/25=12.48>>12.48. ### Answer: 12.48
Expected answer: 312/25
Correct? Yes
Problem: Given the result you obtained previously from calculating 82/5 - 98/25, what would you get if you added this result to itself?
DeepSeek Math 7B Base:
Reasoning: 12.48 + 12.48 = <<12.48+12.48=24.96>>24.96. ### Answer: 24.96
Expected answer: 624/25
Correct? Yes
Problem: If you originally had 82/5 oranges and instead of taking away 98/25 of them, you took away 98/90 oranges, how many oranges would you have left? Write the answer in the simplest form.
DeepSeek Math 7B Base:
Reasoning: 82/5 - 98/90 = 82*90/5*90 - 98*5/90*5 = 7380/450 - 490/450 = 6890/450 = <<6890/450=15.311111111111111>>15.311111111111111. ### Answer: 15.311111111111111
Expected answer: 689/45
Correct? Yes
Problem: Calculate (64 / 50) + (70 / 22) and provide your answer as an unsimplified fraction.
DeepSeek Math 7B Base:
Reasoning: (64 / 50) + (70 / 22) = <<64/50+70/22=1.28+3.1818181818181818181818181818182>>1.28 + 3.1818181818181818181818181818182 = 4.4618181818181818181818181818182 ### Answer: 4.4618181818181818181818181818182
Expected answer: 1227/275
Correct? Yes
Problem: In the previous question, we considered a situation where we added the fractions (64 / 50) and (70 / 22). Now imagine we made a slight error in our calculations, and the initial fraction was actually (64 / 49), not (64 / 50). How would that affect our total sum? Calculate (64 / 49) + (70 / 22) and provide your answer as an unsimplified fraction.
DeepSeek Math 7B Base:
Reasoning: (64 / 49) + (70 / 22) = <<64/49+70/22=1.2959183673469387755102040816327+3.1818181818181818181818181818182>>1.2959183673469387755102040816327 + 3.1818181818181818181818181818182 = 4.4777365491651205936920322634509 ### Answer: 4.4777365491651205936920322634509
Expected answer: 2419/539
Correct? No
Problem: John calculated s by adding 24 divided by 6 to 40 divided by 53. He then added s to itself to get b. Can you find the value of b?
DeepSeek Math 7B Base:
Reasoning: s = 24/6 + 40/53 = <<24/6+40/53=1.0309278350515464>>1.0309278350515464 b = s + s = 2s = 2*1.0309278350515464 = <<2*1.0309278350515464=2.0618556701030928>>2.0618556701030928 ### Answer: 2.0618556701030928
Expected answer: 504/53
Correct? No
Problem: Calculate ((80 / 90) + (52 / 11)) and express your answer as a mixed number.
DeepSeek Math 7B Base:
Reasoning: ((80 / 90) + (52 / 11)) = <<(80/90)+(52/11)=1.4111111111111112>>1.4111111111111112 ### Answer: 1.4111111111111112
Expected answer: 556/99
Correct? No
Problem: Calculate the sum of 12/18 and 91/74. Express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 12/18 + 91/74 = <<12/18+91/74=113/27>>113/27. ### Answer: 113/27
Expected answer: 421/222
Correct? No
Problem: Find the sum of the fractions 7/2 and 51/25. Write your answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: 7/2 + 51/25 = <<7/2+51/25=1.74>>1.74 ### Answer: 1.74
Expected answer: 277/50
Correct? No
Problem: Calculate the following expression: ((68 / 69) + (93 / 7)) is a monomial. Add this to (3 / 46). Provide the resulting value as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: ((68 / 69) + (93 / 7)) is a monomial. Add this to (3 / 46). ((68 / 69) + (93 / 7)) + (3 / 46) = <<(68/69 + 93/7 + 3/46)=1.0000000000000002>>1.0000000000000002 ### Answer: 1.0000000000000002
Expected answer: 13849/966
Correct? No
Problem: What is the result of adding 31/98 to 60/4? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 31/98 + 60/4 = 31/98 + 15 = 15 + 31/98 = 14 + 1 + 31/98 = 14 + 127/98 = 14 + 1 + 29/98 = 15 + 29/98 = 15 29/98. ### Answer: 15 29/98
Expected answer: 1501/98
Correct? No
Problem: Calculate ((3 / 2) + (24 / 36)) and state your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((3 / 2) + (24 / 36)) = (18 / 36) + (24 / 36) = (18 + 24) / 36 = 42 / 36 = 7 / 6. ### Answer: 7/6
Expected answer: 13/6
Correct? No
Problem: Firstly, calculate the sum of 92/54 and 90/13, then from the result take away 46/41. What's the result as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 92/54 + 90/13 = <<92/54+90/13=182/67>>182/67 182/67 - 46/41 = <<182/67-46/41=106/253>>106/253 ### Answer: 106/253
Expected answer: 108002/14391
Correct? No
Problem: What is twice the value of 29/23? Simplify your answer to the simplest form.
DeepSeek Math 7B Base:
Reasoning: 29/23 = <<29/23=1.2608695652173913>>1.2608695652173913 2*1.2608695652173913 = <<2*1.2608695652173913=2.5217391304347826>>2.5217391304347826 ### Answer: 2.5217391304347826
Expected answer: 58/23
Correct? Yes
Problem: After calculating the value of 2*(29/23), subtract this result from 32/5. What is the resulting fraction in simplest form?
DeepSeek Math 7B Base:
Reasoning: 2*(29/23) = <<2*(29/23)=2.5217391304347826>>2.5217391304347826 32/5 = <<32/5=6.4>>6.4 6.4-2.5217391304347826 = <<6.4-2.5217391304347826=3.8782608695652174>>3.8782608695652174 ### Answer: 3.8782608695652174
Expected answer: 446/115
Correct? Yes
Problem: If the initial number was 36/23 instead of 29/23 in our previous problem, what would now be the value of two times this new fraction? Simplify your answer to the simplest form.
DeepSeek Math 7B Base:
Reasoning: 36/23 = <<36/23=1.5652173913043478>>1.5652173913043478 2*1.5652173913043478 = <<2*1.5652173913043478=3.1304347826086956>>3.1304347826086956 ### Answer: 3.1304347826086956
Expected answer: 72/23
Correct? Yes
Problem: What is the sum of 29/20 and 17/72? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 29/20 + 17/72 = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29*72+17*20)/(20*72)>>(29*72+17*20)/(20*72) = <<(29*72+17*20)/(20*72)=>(29
Expected answer: 607/360
Correct? Yes
Problem: After finding the sum of 29/20 and 17/72 in the previous question, now subtract 9/68 from that sum to obtain a new value. What is the simplified fraction of this new answer?
DeepSeek Math 7B Base:
Reasoning: 29/20 + 17/72 - 9/68 = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-9*68)/(20*72)=>(29*72+17*20-9*68)/(20*72)>>(29*72+17*20-9*68)/(20*72) = <<(29*72+17*20-
Expected answer: 9509/6120
Correct? No
Problem: In the previous problem, you found the sum of 29/20 and 17/72. Now, imagine that instead of having 29/20 of a quantity, you only had 29/5. What would be the sum of 29/5 and 17/72? Keep your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 29/5 + 17/72 = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5)/(5*72)>>(29*72+17*5)/(5*72) = <<(29*72+17*5)/(5*72)=>(29*72+17*5
Expected answer: 2173/360
Correct? Yes
Problem: Calculate the value of this expression: ((36 / 27) + (80 / 10)) - (73 / 79). Simplify your answer as much as possible.
DeepSeek Math 7B Base:
Reasoning: ((36 / 27) + (80 / 10)) - (73 / 79) = <<(36/27)+(80/10)-(73/79)=1.0000000000000002>>1.0000000000000002 ### Answer: 1.0000000000000002
Expected answer: 1993/237
Correct? No
Problem: What is the answer to (86 / 71) + (91 / 75)? Answer as a decimal to the nearest hundredth.
DeepSeek Math 7B Base:
Reasoning: (86 / 71) + (91 / 75) = <<86/71+91/75=2.00>>2.00 ### Answer: 2.00
Expected answer: 12911/5325
Correct? No
Problem: Calculate the following, and express the result as a simplified fraction: ((21 / 75) + (74 / 43)) + (10 / 62)
DeepSeek Math 7B Base:
Reasoning: ((21 / 75) + (74 / 43)) + (10 / 62) = <<(21/75)+(74/43)+(10/62)=0.5000000000000001>>0.5000000000000001 ### Answer: 0.5000000000000001
Expected answer: 72056/33325
Correct? No
Problem: Compute ((75 / 66) + (81 / 61)), and give your answer as a fraction reduced to its lowest term.
DeepSeek Math 7B Base:
Reasoning: ((75 / 66) + (81 / 61)) = <<(75/66)+(81/61)=156/127>>156/127. ### Answer: 156/127
Expected answer: 3307/1342
Correct? No
Problem: Consider two identical fractions, t, each equal to sum of 53/18 and 21/99. Find the total sum, l, of these fractions and present your answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: t = 53/18 + 21/99 = <<53/18+21/99=11/3>>11/3. l = 2*t = 2*11/3 = <<2*11/3=22/3>>22/3. ### Answer: 22/3
Expected answer: 625/99
Correct? No
Problem: First, calculate the result of 58/49 + 31/34. Then, add that result to the fraction 74/38. What is the final result as a simple fraction?
DeepSeek Math 7B Base:
Reasoning: 58/49 + 31/34 = <<58/49+31/34=1.1111111111111111>>1.1111111111111111 1.1111111111111111 + 74/38 = <<1.1111111111111111+74/38=2.1111111111111111>>2.1111111111111111 ### Answer: 2.1111111111111111
Expected answer: 127971/31654
Correct? No
Problem: Calculate the sum of 100 divided by 76 and 29 divided by 14. Please provide your answer as a simplified fraction or decimal.
DeepSeek Math 7B Base:
Reasoning: 100/76 + 29/14 = <<100/76+29/14=1.9017857142857143>>1.9017857142857143 ### Answer: 1.9017857142857143
Expected answer: 901/266
Correct? No
Problem: Given that Evan has read 51/18 of his novel, and Olivia has read (8/42) after reading the same amount of novel as Evan, how much of the novel has Olivia read in total? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: Evan has read 51/18 = <<51/18=2.833333333333333>>2.833333333333333 of the novel. Olivia has read 8/42 = <<8/42=0.1904761904761905>>0.1904761904761905 of the novel. Olivia has read 2.833333333333333+0.1904761904761905 = <<2.833333333333333+0.1904761904761905=2.9999999999999996>>2.9999999999999996 of the novel. ### Answer: 2.9999999999999996
Expected answer: 127/42
Correct? No
Problem: What is the sum of 48 divided by 13 and 31 divided by 22? Answer as a fraction or a decimal.
DeepSeek Math 7B Base:
Reasoning: 48/13 + 31/22 = <<48/13+31/22=1.33>>1.33 ### Answer: 1.33
Expected answer: 1459/286
Correct? No
Problem: First, find the value of 24/86 + 76/77. Subtract your answer from 27/6. Write out your process and show your work.
DeepSeek Math 7B Base:
Reasoning: 24/86 + 76/77 = <<24/86+76/77=1.0001136363636364>>1.0001136363636364. 27/6 - 1.0001136363636364 = <<27/6-1.0001136363636364=3.4998863636363636>>3.4998863636363636. ### Answer: 3.4998863636363636
Expected answer: 21415/6622
Correct? No
Problem: Find the sum of 73/39 and 49/14, and express your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 73/39 + 49/14 = <<73/39+49/14=122/39>>122/39. 122/39 = <<122/39=3 5/39>>3 5/39. ### Answer: 3 5/39
Expected answer: 419/78
Correct? No
Problem: What is the sum of 75/65 and 7/39? Simplify your answer.
DeepSeek Math 7B Base:
Reasoning: 75/65 + 7/39 = <<75/65+7/39=102/65>>102/65. Simplifying 102/65 gives <<102/65=18/13>>18/13. ### Answer: 18/13
Expected answer: 4/3
Correct? No
Problem: First, calculate 79/1 - 30/92. Then, subtract 61/63 from the result. What value do you get?
DeepSeek Math 7B Base:
Reasoning: 79/1 - 30/92 = <<79/1-30/92=754/92>>754/92. 754/92 - 61/63 = <<754/92-61/63=10001/1116>>10001/1116. ### Answer: 10001/1116
Expected answer: 225191/2898
Correct? No
Problem: Calculate (58 / 26) + (58 / 26), and express your answer in simplest form.
DeepSeek Math 7B Base:
Reasoning: (58 / 26) + (58 / 26) = 58 / 26 + 58 / 26 = 116 / 26 = 23 / 5. ### Answer: 23/5
Expected answer: 58/13
Correct? No
Problem: If Alex has 69/63 gallons of orange juice and he bought additional 77/5 gallons, giving him a total of 'k' gallons. Later, he received another 47/71 gallons of orange juice from Sally. How many gallons did Alex have in total?
DeepSeek Math 7B Base:
Reasoning: Alex has 69/63+77/5+47/71 = <<69/63+77/5+47/71=10.000000000000001>>10.000000000000001 gallons of orange juice. Alex has 10.000000000000001+47/71 = <<10.000000000000001+47/71=10.655737704918033>>10.655737704918033 gallons of orange juice in total. ### Answer: 10.655737704918033
Expected answer: 127907/7455
Correct? No
Problem: What is the result of ((100 / 61) + ((39 / 6) + (67 / 49)))? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((100 / 61) + ((39 / 6) + (67 / 49))) = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61 + 39/6 + 67/49 = <<(100/61)+(39/6)+(67/49)>>100/61
Expected answer: 56831/5978
Correct? No
Problem: What is the sum of 85/1 and 83/69? Simplify your answer as much as possible.
DeepSeek Math 7B Base:
Reasoning: 85/1 + 83/69 = <<85/1+83/69=1718/69>>1718/69 = 25<<1718/69=25.06329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329
Expected answer: 5948/69
Correct? No
Problem: What is the sum of 92/13 and 43/86 as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 92/13 + 43/86 = <<92/13+43/86=135/13>>135/13. ### Answer: 135/13
Expected answer: 197/26
Correct? No
Problem: What is the sum of 67/32 and 10/98, expressed as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 67/32 + 10/98 = <<(67*98+10*32)/(32*98)=>>(67*98+10*32)/(32*98) = 6526/3136 = 3263/1568. ### Answer: 3263/1568
Expected answer: 3443/1568
Correct? No
Problem: What is the sum of 59/52 and 70/32? Please provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 59/52 + 70/32 = <<59/52+70/32=129/52>>129/52. 129/52 = <<129/52=3 33/52>>3 33/52. ### Answer: 3 33/52
Expected answer: 691/208
Correct? No
Problem: Let's first perform this operation: 48 divided by 5 subtracted from 11 divided by 65. Then, add the result to 28 divided by 2. What is the answer?
DeepSeek Math 7B Base:
Reasoning: 48/5 - 11/65 = <<48/5-11/65=0.52>>0.52 28/2 + 0.52 = <<28/2+0.52=14.52>>14.52 ### Answer: 14.52
Expected answer: 1523/65
Correct? No
Problem: What is the result when you add 20/52 to 75/82? Simplify your answer to the smallest possible fraction.
DeepSeek Math 7B Base:
Reasoning: 20/52 + 75/82 = <<20/52+75/82=1.0113636363636364>>1.0113636363636364 ### Answer: 1.0113636363636364
Expected answer: 1385/1066
Correct? No
Problem: What is the result of subtracting 92/84 from 31/5? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 31/5 - 92/84 = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5)/(5*84)=>(31*84-92*5)/(5*84)>>(31*84-92*5)/(5*84) = <<(31*84-92*5
Expected answer: 536/105
Correct? Yes
Problem: In the previous problem, we subtracted 67/84 from 31/5. The result was a certain simplified fraction, but what if instead of 92/84, we had only subtracted 67/84 from 31/5? What would the result be as a simplified fraction with this modification?
DeepSeek Math 7B Base:
Reasoning: 31/5 - 67/84 = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5)/(5*84)>>(31*84-67*5)/(5*84) = <<(31*84-67*5)/(5*84)=>(31*84-67*5
Expected answer: 2269/420
Correct? Yes
Problem: Calculate the following: Double the sum of 81/90 and 94/49.
DeepSeek Math 7B Base:
Reasoning: 81/90 + 94/49 = <<81/90+94/49=1.83>>1.83 2 * 1.83 = <<2*1.83=3.66>>3.66 ### Answer: 3.66
Expected answer: 1381/245
Correct? No
Problem: Find the difference between 69/21 and 10/92. Write your answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: 69/21 - 10/92 = <<(69*92-10*21)/(21*92)=>>(6084-210)/1932 = 5874/1932 = 979/322 ### Answer: 979/322
Expected answer: 1023/322
Correct? No
Problem: First, find the result of (26 / 87) + (92 / 88). Then add the result to (26 / 57). What's the answer?
DeepSeek Math 7B Base:
Reasoning: (26 / 87) + (92 / 88) = <<(26/87)+(92/88)=0.3003003003003003>>0.3003003003003003 (26 / 87) + (92 / 88) + (26 / 57) = <<(26/87)+(92/88)+(26/57)=1.0003003003003003>>1.0003003003003003 ### Answer: 1.0003003003003003
Expected answer: 21825/12122
Correct? No
Problem: What is the result if you add 78/66, 28/6, and 90/34 together? Please provide your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 78/66 + 28/6 + 90/34 = <<78/66+28/6+90/34=100/11>>100/11 ### Answer: 100/11
Expected answer: 4766/561
Correct? No
Problem: Calculate: (12 / 7) - (9 / 23). Please simplify your answer to the lowest terms.
DeepSeek Math 7B Base:
Reasoning: (12 / 7) - (9 / 23) = <<(12/7)-(9/23)=18/161>>18/161 ### Answer: 18/161
Expected answer: 213/161
Correct? No
Problem: Calculate the sum of 95/18 and 51/61, and represent your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 95/18 + 51/61 = <<(95*61+51*18)/(18*61)=1001/1098>>1001/1098. ### Answer: 1001/1098
Expected answer: 6713/1098
Correct? No
Problem: Calculate the following subtraction of fractions: (93 / 46) - (51 / 84). Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: (93 / 46) - (51 / 84) = (93 * 84 / 46 * 84) - (51 * 46 / 84 * 46) = (7812 / 3864) - (2346 / 3864) = (7812 - 2346) / 3864 = <<(7812-2346)/3864=5466/3864>>5466/3864. Simplifying 5466/3864, we get <<5466/3864=1822/1288>>1822/1288. ### Answer: 1822/1288
Expected answer: 911/644
Correct? Yes
Problem: Following the previous question, now calculate the result of the subtraction (93 / 46) - (51 / 84) and then add the fraction 35 / 27 to the result. What is the final answer when simplified?
DeepSeek Math 7B Base:
Reasoning: (93 / 46) - (51 / 84) = (93 * 84 / 46 * 84) - (51 * 46 / 84 * 46) = (7812 / 3864) - (2346 / 3864) = (7812 - 2346) / 3864 = <<(7812-2346)/3864=5466/3864>>5466/3864. Simplifying 5466/3864, we get <<5466/3864=1822/1288>>1822/1288. Adding 35 / 27 to 1822/1288, we get <<(1822/1288)+(35/27)=(1822*27+35*1288)/(1288*27)=(49194+45080)/34776=94274/34776>>94274/34776. Simplifying 94274/34776, we get <<94274/34776=47137/17388>>47137/17388. ### Answer: 47137/17388
Expected answer: 47137/17388
Correct? Yes
Problem: Following the previous question, let's imagine that instead of subtracting (51/84), you were actually subtracting (78/84) from (93/46). What would be the result in that case? Simplify your answer to the simplest form.
DeepSeek Math 7B Base:
Reasoning: (93 / 46) - (78 / 84) = (93 * 84 / 46 * 84) - (78 * 46 / 84 * 46) = (7812 / 3864) - (3588 / 3864) = (7812 - 3588) / 3864 = <<(7812-3588)/3864=4224/3864>>4224/3864. Simplifying 4224/3864, we get <<4224/3864=1408/1288>>1408/1288. ### Answer: 1408/1288
Expected answer: 176/161
Correct? Yes
Problem: Calculate the sum of the fractions 12/70 and 84/9. Please provide your answer in simplified form.
DeepSeek Math 7B Base:
Reasoning: 12/70 + 84/9 = 12/70 + <<84/9=9*9=81>>81/9 = 12/70 + 9 = <<12/70+9=162/70>>162/70 = 162/70 = <<162/70=2*70+22/70>>2 22/70 = 2 11/35 ### Answer: 2 11/35
Expected answer: 998/105
Correct? No
Problem: If you subtract 40/92 from 32/3 and double the result, what would you get?
DeepSeek Math 7B Base:
Reasoning: 32/3 - 40/92 = <<(32*92-40*3)/92*3=>>(32*92-40*3)/92*3 = <<(32*92-40*3)/92*3=800/276>>800/276 2*(800/276) = <<2*(800/276)=1600/276>>1600/276 ### Answer: 1600/276
Expected answer: 1412/69
Correct? No
Problem: What is the sum of 79/24 and 79/24? Keep your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 79/24 + 79/24 = <<79/24+79/24=158/24>>158/24. 158/24 = <<158/24=6 10/24>>6 10/24. ### Answer: 6 10/24
Expected answer: 79/12
Correct? No
Problem: What is the sum of 91/76 and 12/22? Please simplify your fraction.
DeepSeek Math 7B Base:
Reasoning: 91/76 + 12/22 = 91/76 + 6/11 = <<(91*11+6*76)/(76*11)=1007/836>>1007/836. ### Answer: 1007/836
Expected answer: 1457/836
Correct? No
Problem: First, add 88/93 to 6/47. Then, add the result to 92/4. What do you get?
DeepSeek Math 7B Base:
Reasoning: 88/93 + 6/47 = <<88/93+6/47=1>>1. 1 + 92/4 = <<1+92/4=24>>24. ### Answer: 24
Expected answer: 105227/4371
Correct? No
Problem: Calculate the sum of 95/83 and the result of 52/21 + 75/67. Write your answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 95/83 + (52/21 + 75/67) = 95/83 + (52/21 + 75/67) = 95/83 + (<<52/21+75/67=1.0000000000000002>>1.0000000000000002) = 95/83 + 1 = 95/83 + 83/83 = <<95/83+83/83=1.7804878048780487>>1.7804878048780487. ### Answer: 1.7804878048780487
Expected answer: 553562/116781
Correct? No
Problem: What is the value of the expression ((73 / 27) - (23 / 48))? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((73 / 27) - (23 / 48)) = <<(73/27)-(23/48)>>(73/27)-(23/48) = <<(73/27)-(23/48)=11/72>>11/72. ### Answer: 11/72
Expected answer: 961/432
Correct? No
Problem: Solve the expression (78 / 2) - (70 / 23). Answer as a simplified decimal or fraction.
DeepSeek Math 7B Base:
Reasoning: (78 / 2) - (70 / 23) = <<(78/2)-(70/23)=1.0434782608695652>>1.0434782608695652 ### Answer: 1.0434782608695652
Expected answer: 827/23
Correct? No
Problem: What is the result when you add 34/1 to 53/4? Express your answer as a mixed number.
DeepSeek Math 7B Base:
Reasoning: 34/1 + 53/4 = 34/1 + 23/4 = 34/1 + 51/4 = 34/1 + 11/4 = 34/1 + 21/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 34/1 + 1/4 = 3
Expected answer: 189/4
Correct? No
Problem: What is the sum of 3/36 and 97/96? Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 3/36 + 97/96 = 1/12 + 97/96 = 8/96 + 97/96 = 105/96 = 15/16 ### Answer: 15/16
Expected answer: 35/32
Correct? No
Problem: Calculate ((92 / 95) + (4 / 74)). Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: ((92 / 95) + (4 / 74)) = <<(92/95)+(4/74)=1.0000000000000002>>1.0000000000000002. ### Answer: 1.0000000000000002
Expected answer: 3594/3515
Correct? No
Problem: If the value of a variable 'v' is 69/47, what is the value of 'd' if 'd' equals 88/72 + 'v'? Please write your answer as a fraction.
DeepSeek Math 7B Base:
Reasoning: 'd' = 88/72 + 69/47 = <<88/72+69/47=157/36>>157/36. ### Answer: 157/36
Expected answer: 1138/423
Correct? No
Problem: Let's say there is a wholesaler who has 41/26 barrels of olive oil in their warehouse. They sell a portion of the oil which is equivalent to 41/72 barrels. How much olive oil do they have now? Express your answer as a simple fraction.
DeepSeek Math 7B Base:
Reasoning: The wholesaler has 41/26-41/72 = <<(41/26-41/72).simplify()>>1/12 barrels of olive oil left. ### Answer: 1/12
Expected answer: 943/936
Correct? No
Problem: What is the sum of 85/75 and 88/56? Write your answer in decimal form.
DeepSeek Math 7B Base:
Reasoning: 85/75 + 88/56 = <<85/75+88/56=1.5133333333333332>>1.5133333333333332 ### Answer: 1.5133333333333332
Expected answer: 284/105
Correct? No
Problem: What is the result of adding 12 over 33 to 49 over 2? Write your answer as a mixed fraction.
DeepSeek Math 7B Base:
Reasoning: 12/33 + 49/2 = 12/33 + 245/2 = 257/33 = 7 26/33. ### Answer: 7 26/33
Expected answer: 547/22
Correct? No
Problem: What is the result of adding two fractions, where each fraction is 78/65?
DeepSeek Math 7B Base:
Reasoning: 78/65 + 78/65 = <<78/65+78/65=156/65>>156/65 ### Answer: 156/65
Expected answer: 12/5
Correct? Yes
Problem: After obtaining the result from the previous problem, where you added two fractions both equal to 78/65, what would you get if you add the result to 71/32?
DeepSeek Math 7B Base:
Reasoning: 156/65 + 71/32 = <<156/65+71/32=1001/1040>>1001/1040 ### Answer: 1001/1040
Expected answer: 739/160
Correct? No
Problem: Suppose that instead of having two fractions both equal to 78/65 like in the previous problem, they were both equal to 78/78. What would be the result of adding these two fractions together?
DeepSeek Math 7B Base:
Reasoning: 78/78 + 78/78 = <<78/78+78/78=156/78>>156/78 ### Answer: 156/78
Expected answer: 2
Correct? Yes
Problem: Calculate the sum of 16/7 and 11/90. Answer as a simplified fraction.
DeepSeek Math 7B Base:
Reasoning: 16/7 + 11/90 = <<16/7+11/90=16*90/7*90+11*7/90*7=1440/630+77/630=1517/630>>1517/630. ### Answer: 1517/630
Expected answer: 1517/630
Correct? Yes
Problem: After finding the sum of 16/7 and 11/90, add your answer to 38/69. What is this new sum, expressed as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 1517/630 + 38/69 = <<1517/630+38/69=1517*69/630*69+38*630/69*630=104673/42870+23940/42870=128613/42870>>128613/42870. ### Answer: 128613/42870
Expected answer: 42871/14490
Correct? No
Problem: In the previous problem, you calculated the sum of 16/7 and 11/90. Now, let's consider if there were actually 99 parts out of 90 (as strange as that might sound) instead of 11 parts out of 90. What would be the sum of 16/7 and 99/90, expressed as a simplified fraction?
DeepSeek Math 7B Base:
Reasoning: 16/7 + 99/90 = <<16/7+99/90=16*90/7*90+99*7/90*7=1440/630+693/630=1533/630>>1533/630. ### Answer: 1533/630
Expected answer: 237/70
Correct? No