InternLM-Math Base 20B on 5.NF.A.1
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.
InternLM-Math Base 20B:
Reasoning: 48/56 + 95/23 = <<(48/56)+(95/23)=(48*23+95*56)/(56*23)=1116/1188>>1116/1188 and 1116/1188 - 34/26 = <<(1116/1188)-(34/26)=(1116*26-34*1188)/(1188*26)=1116*26-34*1188/30948=29216-38792/30948=9324/30948>>9324/30948. ### Answer: 9324/30948
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?
InternLM-Math Base 20B:
Reasoning: 88/9 + 28/65 = <<88/9+28/65=1168/585>>1168/585. 1168/585 - 18/37 = <<1168/585-18/37=1140/585>>1140/585. ### Answer: 1140/585
Expected answer: 210434/21645
Correct? No
Problem: What is the result of (63 / 41) + (44 / 50) when simplified to the lowest terms?
InternLM-Math Base 20B:
Reasoning: (63 / 41) + (44 / 50) = <<(63/41)+(44/50)=(63*50+44*41)/(41*50)=(3150+1804)/(2050)=(4954/2050)=<<4954/2050=2.4>>2.4>> when simplified to the lowest terms. ### Answer: 2.4
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.
InternLM-Math Base 20B:
Reasoning: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. John had 71/41+41/77 = <<71/41+41/77=71/41+1/2=71/41+2/2=73/41>>73/41 of a cake in total.
Expected answer: 7148/3157
Correct? No
Problem: Calculate the result of 10/65 + 56/35. Answer as a simple fraction.
InternLM-Math Base 20B:
Reasoning: 10/65 + 56/35 = <<10/65+56/35=10*7/65*7+56*5/35*5=70/455+280/175=70/455+280/455=350/455=7/11>>7/11. ### Answer: 7/11
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.
InternLM-Math Base 20B:
Reasoning: 75/81 + 97/47 = <<(75*47+97*81)/(81*47)=(75*47+97*81)/3867>>(75*47+97*81)/3867 ### Answer: (75*47+97*81)/3867
Expected answer: 3794/1269
Correct? No
Problem: What is 88/1 - 38/53? Give your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 88/1 - 38/53 = <<88/1-38/53=88/1-7/53=88*53/1*53-7*1/53*1=4696/53-7/53=4696-7/53=4699/53>>4699/53 ### Answer: 4699/53
Expected answer: 4626/53
Correct? No
Problem: Evaluate the expression ((80 / 94) + (78 / 59)). What is the answer in simplified form?
InternLM-Math Base 20B:
Reasoning: ((80 / 94) + (78 / 59)) = <<(80/94)+(78/59)=0.8549+1.3220=2.1769>>2.1769 ### Answer: 2.1769
Expected answer: 6026/2773
Correct? No
Problem: What is the sum of 89/56 and 48/50? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 89/56 + 48/50 = <<89/56+48/50=89/56+48/50=89/56+96/100=185/100=185/100=3 85/100=3 17/20=3 17/20=3 1/20+1=4/20+1=5/20=5/20=1/4+1=1/4+1=1 1/4=1 1/4=1 1/4+1=1 1/4+1=2 1/4=2 1/4=2 1/4+1=2 1/4+1=3 1/4=3 1/4=3 1/4+1=3 1/4+1=4 1/4=4 1/4=4 1/4+1=4 1/4+1=5 1/4=5 1/4=5 1/4+1=5 1/4+1=6 1/4=6 1/4=6 1/4+1=6 1/4+1=7 1/4=7 1/4=7 1/4+1=7 1/4+1=8 1/4=8 1/4=8 1/4+1=8 1/4+1=9 1/4=9 1/4=9 1/4+1=9 1/4+1=10 1/4=10 1/4=10 1/4+1=10 1/4+1=11 1/4=11 1/4=11 1/4+1=11 1/4+1=12 1/4=12 1/4=12 1/4+1=12 1/4+1=13 1/4=13 1/4=13 1/4+1=13 1/4+1=14 1/4=14 1/4=14 1/4+1=14 1/4+1=15 1/4=15 1/4=15 1/4+1=15 1/4+1=16 1/4=16 1/4=16 1/4+1=16 1/4+1=17 1/4=17 1/4=17 1/4+1=17 1/4+1=18 1/4=18 1/4=18 1/4+1=18 1/4+1=19 1/4=19 1/4=19 1/4+1=19 1/4+1=20 1/4=20 1/4=20 1/4+1=20 1/4+1=21 1/4=21 1/4=21 1/4+1=21 1/4+1=22 1/4=22 1/4=22 1/4+1=22 1/4+1=23 1/4=23 1/4=23 1/4+1=23 1/4+1=24 1/4=24 1/4=24 1/4+1=24 1/4+1=25 1/4=25 1/4=25 1/4+1=25 1/4+1=26 1/4=26 1/4=26 1/4+1=26 1/4+1=27 1/4=27 1/4=27 1/4+1=27 1/4+1=28 1/4=28 1/4=28 1/4+1=28 1/4+1=29 1/4=29 1/4=29 1/4+1=29 1/4+1=30 1/4=30 1/4=30 1/4+1=30 1/4+1=31 1/4=31 1/4=31 1/4+1=31 1/4+1=32 1/4=32 1/4=32 1/4+1=32 1/4+1=33 1/4=
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.
InternLM-Math Base 20B:
Reasoning: 96/11 = <<96/11=8 8/11>>8 8/11 and 12/5 = <<12/5=2 2/5>>2 2/5. The sum of 96/11 and 12/5 is 8 8/11 + 2 2/5 = <<8 8/11+2 2/5=10 10/11>>10 10/11. 38/87 = <<38/87=0 4/87>>0 4/87. The result is 10 10/11 - 0 4/87 = <<10 10/11-0 4/87=10 6/87>>10 6/87. ### Answer: 10 6/87
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.
InternLM-Math Base 20B:
Reasoning: 82/9 - 82/63 = <<82/9-82/63=82/63*(9/9-1/63)=82/63*(8/9)=56/63>>56/63 ### Answer: 56/63
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.
InternLM-Math Base 20B:
Reasoning: 23/3 = <<23/3=7 2/3>>7 2/3, 80/91 = <<80/91=0 8/91>>0 8/91, 26/24 = <<26/24=1 1/12>>1 1/12, 0 8/91 + 1 1/12 = <<0 8/91+1 1/12=1 19/108>>1 19/108, 7 2/3 - 1 19/108 = <<7 2/3-1 19/108=5 99/108>>5 99/108. ### Answer: 5 99/108
Expected answer: 6229/1092
Correct? No
Problem: What is the sum of 37/18 and 24/60 when simplified to the lowest terms?
InternLM-Math Base 20B:
Reasoning: 37/18 = <<37/18=2 1/18>>2 1/18 and 24/60 = <<24/60=2/5>>2/5. 2 1/18 + 2/5 = <<2 1/18+2/5=2 9/30+2/5=4 19/30>>4 19/30. ### Answer: 4 19/30
Expected answer: 221/90
Correct? No
Problem: Determine the sum of 33/41 and 95/62. Write your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 33/41 + 95/62 = <<33/41+95/62= 1287/1242>>1287/1242 ### Answer: 1287/1242
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.
InternLM-Math Base 20B:
Reasoning: ((30 / 11) + (72 / 38)) = <<(30/11)+(72/38)=(630+252)/(11*38)=(882)/(11*38)=(882)/(418)>>(882 / 418). (882 / 418) + (81 / 34) = <<(882/418)+(81/34)=(882*34+81*418)/(418*34)=(30174+34038)/(14092)=(64212/14092)>>(64212 / 14092). ### Answer: 64212/14092
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.
InternLM-Math Base 20B:
Reasoning: (64 / 34) + (3 / 24) = <<64/34+3/24=67/102>>67/102. 67/102 + (41 / 96) = <<67/102+41/96=109/102+41/96=150/102=5/3>>5/3. ### Answer: 5/3
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?
InternLM-Math Base 20B:
Reasoning: 83/73 + 53/77 = <<83/73+53/77=136/219>>136/219 w + 80/76 = <<136/219+80/76=616/1764>>616/1764 ### Answer: 616/1764
Expected answer: 307360/106799
Correct? No
Problem: Add the following fractions and simplify your answer: 27/20 and 14/66.
InternLM-Math Base 20B:
Reasoning: 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27/20 = 27
Expected answer: 1031/660
Correct? No
Problem: What is the result of the expression ((32 / 14) - (22 / 47))? Write your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: ((32 / 14) - (22 / 47)) = <<(32/14)-(22/47)=(32*47)/(14*47)-(22*14)/(14*47)=(32*47-22*14)/(14*47)=(1504-308)/(658)=(1156/658)>>((32*47)/(14*47)) - ((22*14)/(14*47)) = ((32*47) - (22*14)) / (14*47) = (1504 - 308) / 658 = (1156 / 658) ### Answer: 1156/658
Expected answer: 598/329
Correct? No
Problem: What is the sum of 74/61 and 41/53 expressed in fractions?
InternLM-Math Base 20B:
Reasoning: 74/61 + 41/53 = <<74/61+41/53=115/113>>115/113 ### Answer: 115/113
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?
InternLM-Math Base 20B:
Reasoning: 94 / 2 - 74 / 57 = <<94/2-74/57=47/114>>47/114 47/114 + 56 / 97 = <<47/114+56/97=103/1110>>103/1110 ### Answer: 103/1110
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.
InternLM-Math Base 20B:
Reasoning: 14/89 = <<14/89=2/13>>2/13, 24/34 = <<24/34=6/17>>6/17, and 44/87 = <<44/87=4/17>>4/17. The sum of 14/89 and the sum of 24/34 and 44/87 is 2/13 + 6/17 + 4/17 = <<2/13+6/17+4/17=12/17>>12/17. ### Answer: 12/17
Expected answer: 180194/131631
Correct? No
Problem: What would you get if you add 73/30 to 8/60?
InternLM-Math Base 20B:
Reasoning: 73/30 = <<73/30=2 13/30>>2 13/30 and 8/60 = <<8/60=1/15>>1/15. 2 13/30 + 1/15 = <<2 13/30+1/15=2 28/30=2 14/15>>2 28/30 = 2 14/15. ### Answer: 2 14/15
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.
InternLM-Math Base 20B:
Reasoning: 82/49 + 45/60 = <<82/49+45/60=1 23/60>>1 23/60. 1 23/60 + 99/59 = <<1 23/60+99/59=2 16/60=1 2/3>>2 16/60 = 1 2/3. ### Answer: 1 2/3
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.
InternLM-Math Base 20B:
Reasoning: 91/16 - 76/30 = <<91/16-76/30=0.8125>>0.8125 0.8125 + 18/44 = <<0.8125+18/44=0.9375>>0.9375 ### Answer: 0.94
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.
InternLM-Math Base 20B:
Reasoning: ((8 / 91) + (49 / 5)) = <<(8/91)+(49/5)=(8*5+49*91)/(5*91)=(424/455)>>424/455 (424 / 455) - (32 / 76) = <<(424/455)-(32/76)=(424*76-32*455)/(455*76)=(32136-14640)/(34380)=(17496/34380)=(17496/34380)/(2*2*3*5*59)=(1399/2310)>>1399/2310 ### Answer: 1399/2310
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.
InternLM-Math Base 20B:
Reasoning: ((75 / 45) + (5 / 49)) = <<(75/45)+(5/49)=(5/3)+(1/7)=((5*7)+(3*1))/21=22/21>>22/21. ((22 / 21) + (3 / 58)) = <<(22/21)+(3/58)=(22*58)+(3*21)/21*58=(22*58)+(3*21)/1188=(1176+63)/1188=1239/1188>>1239/1188. ### Answer: 1239/1188
Expected answer: 15521/8526
Correct? No
Problem: Calculate the answer to ((43 / 15) - (33 / 95)) and simplify it to its lowest terms.
InternLM-Math Base 20B:
Reasoning: ((43 / 15) - (33 / 95)) = <<(43/15)-(33/95)=(43*95-33*15)/(15*95)=(4115-495)/(15*95)=(3620/15)/95=3620/15*95=3620/1425=1/5>>1/5 ### Answer: 1/5
Expected answer: 718/285
Correct? No
Problem: What is the sum of ((78 / 45) + (89 / 36)) added to itself? Answer as a simple fraction.
InternLM-Math Base 20B:
Reasoning: ((78 / 45) + (89 / 36)) = <<(78/45)+(89/36)=(78*36+89*45)/(45*36)=(2772+4050)/(2040)=(6822/2040)=(1705/510)>>(1705 / 510). ((78 / 45) + (89 / 36)) + ((78 / 45) + (89 / 36)) = <<(1705/510)+(1705/510)=(1705*2)/(510)=(3410/510)=(681/102)>>(681 / 102). ### Answer: (681 / 102)
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?
InternLM-Math Base 20B:
Reasoning: 93/34 - 77/74 = <<(93*74)/(34*74)-(77*34)/(74*34)>>(93*74)/(34*74)-(77*34)/(74*34) = 2/37 ### Answer: 2/37
Expected answer: 1066/629
Correct? No
Problem: Find the sum of 86/35 and 68/85. Express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 86/35 = <<86/35=2 31/35>>2 31/35 and 68/85 = <<68/85=4 4/85>>4 4/85. 2 31/35 + 4 4/85 = <<2 31/35+4 4/85=6 75/85=6 9/17>>6 75/85 = 6 9/17. ### Answer: 6 9/17
Expected answer: 114/35
Correct? No
Problem: What is the sum of 99/53 and 67/94 in simplest form?
InternLM-Math Base 20B:
Reasoning: 99/53 = <<99/53=1 46/53>>1 46/53 and 67/94 = <<67/94=0 67/94>>0 67/94. The sum of 99/53 and 67/94 is 1 46/53 + 0 67/94 = <<1 46/53+0 67/94=1 113/94>>1 113/94. ### Answer: 1 113/94
Expected answer: 12857/4982
Correct? No
Problem: What is the simplified form of the fraction that results from 74/27 minus 56/33?
InternLM-Math Base 20B:
Reasoning: 74/27 - 56/33 = <<74/27-56/33=18/33>>18/33 ### Answer: 18/33
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.
InternLM-Math Base 20B:
Reasoning: 96/40 = <<96/40=2.4>>2.4, 11/99 = <<11/99=0.11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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?
InternLM-Math Base 20B:
Reasoning: 10/5 = <<10/5=2>>2, 35/27 = <<35/27=1.296296296296296>>1.296296296296296, 47/99 = <<47/99=0.4747474747474747>>0.4747474747474747, 2+1.296296296296296 = <<2+1.296296296296296=3.296296296296296>>3.296296296296296, 3.296296296296296+0.4747474747474747 = <<3.296296296296296+0.4747474747474747=3.77108547008547>>3.77108547008547. ### Answer: 3.77108547008547
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?
InternLM-Math Base 20B:
Reasoning: 90/81 + 2/66 = <<90/81+2/66=90/81+1/33=91/33+1/33=92/33>>92/33. ### Answer: 92/33
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?
InternLM-Math Base 20B:
Reasoning: Oliver has 2 pieces of ribbon that are 56/41 yards long. 2*56/41 = <<2*56/41=112/41>>112/41 yards. ### 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?
InternLM-Math Base 20B:
Reasoning: Oliver has 4 pieces of ribbon that are 56/41 yards long. 4*56/41 = <<4*56/41=224/41>>224/41 yards. ### Answer: 224/41
Expected answer: 224/41
Correct? Yes
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?
InternLM-Math Base 20B:
Reasoning: Oliver has 2 pieces of ribbon that are 63/41 yards long. 2*63/41 = <<2*63/41=126/41>>126/41 yards. ### 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.
InternLM-Math Base 20B:
Reasoning: 92/75 + 66/92 = <<92/75+66/92=12/5+4/5=16/5>>16/5 ### Answer: 16/5
Expected answer: 6707/3450
Correct? No
Problem: What is the sum of 32/65 and 73/22? Leave your answer as an unsimplified fraction.
InternLM-Math Base 20B:
Reasoning: 32/65 + 73/22 = <<32/65+73/22=32*11/65*11+73*5/22*5=352/715+365/110=352+365/715+110=717/825>>717/825. ### Answer: 717/825
Expected answer: 5449/1430
Correct? No
Problem: What is the difference between 51/34 and 12/86? Express your answer in its simplest form.
InternLM-Math Base 20B:
Reasoning: 51/34 = <<51/34=1.5>>1.5 and 12/86 = <<12/86=0.14>>0.14. 1.5-0.14 = <<1.5-0.14=1.36>>1.36. ### Answer: 1.36
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?
InternLM-Math Base 20B:
Reasoning: 51+93/8 = <<51+93/8=51+11.625=62.625>>62.625 62.625+58/44 = <<62.625+58/44=62.625+1.3181818181818182=64.94318181818182>>64.94318181818182 64.94318181818182 = <<64.94318181818182=64.94(3/8)=64(11/8)+3/8=64(11/8)+(1/2)/4=64(11/8)+1/8=64(12/8)=64(3/2)=192/3=64 2/3>>64 2/3 ### Answer: 64 2/3
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.
InternLM-Math Base 20B:
Reasoning: 82/5 - 98/25 = <<82/5-98/25=82*5/5*5-98/5*5=410/25-98/25=410-98/25=322/25=322/25*1/1=322*1/25*1=322/25>>322/25 ### Answer: 322/25
Expected answer: 312/25
Correct? No
Problem: Calculate (64 / 50) + (70 / 22) and provide your answer as an unsimplified fraction.
InternLM-Math Base 20B:
Reasoning: (64 / 50) + (70 / 22) = <<64/50+70/22=1.28+3.18=4.46>>4.46 ### Answer: 4.46
Expected answer: 1227/275
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?
InternLM-Math Base 20B:
Reasoning: s = 24/6 + 40/53 = <<24/6+40/53=8+0.75=8.75>>8.75. b = s + s = 2s = 2(8.75) = <<2*8.75=17.5>>17.5. ### Answer: 17.5
Expected answer: 504/53
Correct? No
Problem: Calculate ((80 / 90) + (52 / 11)) and express your answer as a mixed number.
InternLM-Math Base 20B:
Reasoning: ((80 / 90) + (52 / 11)) = <<(80/90)+(52/11)=(80*11+52*90)/(90*11)=(880+4680)/(990)=(5560/990)=5 560/990>>5 560/990 ((80 / 90) + (52 / 11)) = <<5 560/990=5 1/5>>5 1/5 ### Answer: 5 1/5
Expected answer: 556/99
Correct? No
Problem: Calculate the sum of 12/18 and 91/74. Express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 12/18 = 2/3 and 91/74 = 13/11. 2/3 + 13/11 = <<2/3+13/11=55/33>>55/33. ### Answer: 55/33
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.
InternLM-Math Base 20B:
Reasoning: 7/2 + 51/25 = <<7/2+51/25=<<7*25+51*2>>/50=<<175+102>>/50=277/50>>277/50. ### Answer: 277/50
Expected answer: 277/50
Correct? Yes
Problem: Following up on the previous question, add the fraction 86/39 to the sum of 7/2 and 51/25. Express your answer as a simple fraction.
InternLM-Math Base 20B:
Reasoning: 7/2 + 51/25 + 86/39 = <<7/2+51/25+86/39=<<7*39+51*2+86*25>>/78=<<273+102+2150>>/78=2525/78>>2525/78. ### Answer: 2525/78
Expected answer: 15103/1950
Correct? No
Problem: In the previous problem, you were asked to find the sum of 7/2 and 51/25. Now suppose that instead of 7/2, the fraction was 7/22. How would this change the result? Calculate 7/22 + 51/25 as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 7/22 + 51/25 = <<7/22+51/25=<<7*25+51*22>>/550=<<175+1122>>/550=1397/550>>1397/550. ### Answer: 1397/550
Expected answer: 1297/550
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.
InternLM-Math Base 20B:
Reasoning: (68 / 69) + (93 / 7) = <<(68/69)+(93/7)=1.027536231884058>>1.027536231884058 (68 / 69) + (93 / 7) + (3 / 46) = <<(68/69)+(93/7)+(3/46)=1.027536231884058+0.0652173913043478=1.0927531632884446>>1.0927531632884446 ### Answer: 1.0927531632884446
Expected answer: 13849/966
Correct? No
Problem: What is the result of adding 31/98 to 60/4? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 31/98 + 60/4 = <<31/98+60/4=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/98+15/2=31/
Expected answer: 1501/98
Correct? No
Problem: Calculate ((3 / 2) + (24 / 36)) and state your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: (3 / 2) + (24 / 36) = <<(3/2)+(24/36)=(9/4)+(2/3)=(27/12)+(8/12)=(35/12)>>35/12 ### Answer: 35/12
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?
InternLM-Math Base 20B:
Reasoning: 92/54 + 90/13 = <<92/54+90/13=<<92*13+90*54>>=<<1200+4980>>=<<6180>>=<<6180/67>>=<<91/67>>91/67. 91/67 - 46/41 = <<91/67-46/41=<<91*41-46*67>>=<<3771-3052>>=<<719>>=<<719/67>>=<<103/67>>103/67. ### Answer: 103/67
Expected answer: 108002/14391
Correct? No
Problem: What is twice the value of 29/23? Simplify your answer to the simplest form.
InternLM-Math Base 20B:
Reasoning: 29/23 = <<29/23=1 6/23>>1 6/23 Twice the value of 29/23 is 2*29/23 = <<2*29/23=2 12/23>>2 12/23 ### Answer: 2 12/23
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?
InternLM-Math Base 20B:
Reasoning: 2*(29/23) = <<2*(29/23)=2 12/23>>2 12/23 32/5 - 2*(29/23) = <<32/5-2 12/23=2 1/5>>2 1/5 ### Answer: 2 1/5
Expected answer: 446/115
Correct? No
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.
InternLM-Math Base 20B:
Reasoning: 36/23 = <<36/23=1 13/23>>1 13/23 Twice the value of 36/23 is 2*36/23 = <<2*36/23=2 26/23>>2 26/23 ### Answer: 2 26/23
Expected answer: 72/23
Correct? Yes
Problem: What is the sum of 29/20 and 17/72? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 29/20 = <<29/20=1 9/20>>1 9/20 and 17/72 = <<17/72=1 5/72>>1 5/72. 1 9/20 + 1 5/72 = <<1 9/20+1 5/72=2 19/72>>2 19/72. ### Answer: 2 19/72
Expected answer: 607/360
Correct? No
Problem: Calculate the value of this expression: ((36 / 27) + (80 / 10)) - (73 / 79). Simplify your answer as much as possible.
InternLM-Math Base 20B:
Reasoning: ((36 / 27) + (80 / 10)) - (73 / 79) = <<(36/27+80/10)-(73/79)=(36/27+8)-(73/79)=(4+8)-(73/79)=(12)-(73/79)>>12 - (73 / 79). ### Answer: 12 - (73 / 79)
Expected answer: 1993/237
Correct? No
Problem: What is the answer to (86 / 71) + (91 / 75)? Answer as a decimal to the nearest hundredth.
InternLM-Math Base 20B:
Reasoning: (86 / 71) + (91 / 75) = <<(86/71)+(91/75)=1.21>>1.21 ### Answer: 1.21
Expected answer: 12911/5325
Correct? No
Problem: Calculate the following, and express the result as a simplified fraction: ((21 / 75) + (74 / 43)) + (10 / 62)
InternLM-Math Base 20B:
Reasoning: ((21 / 75) + (74 / 43)) + (10 / 62) = <<(21 / 75) + (74 / 43) + (10 / 62) = 0.5 + 0.5 + 0.5 = 1.5>>1.5 ### Answer: 1.5
Expected answer: 72056/33325
Correct? No
Problem: Compute ((75 / 66) + (81 / 61)), and give your answer as a fraction reduced to its lowest term.
InternLM-Math Base 20B:
Reasoning: ((75 / 66) + (81 / 61)) = <<(75/66)+(81/61)=(1509/2226)=(3/4)>>3/4 ### Answer: 3/4
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.
InternLM-Math Base 20B:
Reasoning: t = 53/18 + 21/99 = <<53/18+21/99=53/18+1/9=64/18=32/9>>32/9. l = 2t = 2(32/9) = <<2*32/9=64/9>>64/9. ### Answer: 64/9
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?
InternLM-Math Base 20B:
Reasoning: 58/49 + 31/34 = <<58/49+31/34=89/98>>89/98. 89/98 + 74/38 = <<89/98+74/38=163/196>>163/196. ### Answer: 163/196
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.
InternLM-Math Base 20B:
Reasoning: 100/76 = <<100/76=1.3157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842
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.
InternLM-Math Base 20B:
Reasoning: Evan has read 51/18 of his novel. Olivia has read (8/42) of her novel. Olivia has read (8/42) of her novel. (8/42) = (8/42) = <<8/42=2/7>>2/7 of Evan's novel. Olivia has read 51/18 + 2/7 = <<51/18+2/7=53/21>>53/21 of her novel. ### Answer: 53/21
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.
InternLM-Math Base 20B:
Reasoning: 48/13 = <<48/13=3.692307692307693>>3.692307692307693 and 31/22 = <<31/22=1.4090909090909091>>1.4090909090909091. 3.692307692307693+1.4090909090909091 = <<3.692307692307693+1.4090909090909091=5.101318681318682>>5.101318681318682. ### Answer: 5.101318681318682
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.
InternLM-Math Base 20B:
Reasoning: 24/86 + 76/77 = <<24/86+76/77=2/3+1=5/3>>5/3. 27/6 - 5/3 = <<27/6-5/3=9/2-5/3=7/6>>7/6. ### Answer: 7/6
Expected answer: 21415/6622
Correct? No
Problem: Find the sum of 73/39 and 49/14, and express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 73/39 + 49/14 = <<73/39+49/14=73*2/39*2+49*3/14*3=146/78+147/42=146*3/78*3+147*2/42*2=438/234+294/84=438/234+294/84=732/234=732/234=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*3*13=2*2*3*3*13/2*3*
Expected answer: 419/78
Correct? No
Problem: What is the sum of 75/65 and 7/39? Simplify your answer.
InternLM-Math Base 20B:
Reasoning: 75/65 = <<75/65=1 10/65>>1 10/65 and 7/39 = <<7/39=1 7/39>>1 7/39. 1 10/65 + 1 7/39 = <<1 10/65+1 7/39=2 17/65>>2 17/65. ### Answer: 2 17/65
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?
InternLM-Math Base 20B:
Reasoning: 79/1 - 30/92 = <<79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/1-30/92=79/
Expected answer: 225191/2898
Correct? No
Problem: Calculate (58 / 26) + (58 / 26), and express your answer in simplest form.
InternLM-Math Base 20B:
Reasoning: (58 / 26) + (58 / 26) = <<(58/26)+(58/26)=2*58/26=2*29/13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2*2*29/2*13=2
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?
InternLM-Math Base 20B:
Reasoning: Alex has 69/63+77/5 = <<69/63+77/5=2.5+1.54=4.04>>2.5+1.54=4.04 gallons of orange juice. Later, he received another 47/71 gallons of orange juice from Sally. Alex has 4.04+47/71 = <<4.04+47/71=4.04+0.66=4.7>>4.04+0.66=4.7 gallons of orange juice in total. ### Answer: 4.7
Expected answer: 127907/7455
Correct? No
Problem: What is the result of ((100 / 61) + ((39 / 6) + (67 / 49)))? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: ((100 / 61) + ((39 / 6) + (67 / 49))) = <<(100/61)+(39/6)+(67/49)=(100/61)+(6.5)+(1.36734693877551)=100/61+7.5=100/61+15/3=100/61+5=105/61+5/1=110/61=1.80327868852=1.80327868852>>1.80327868852 ### Answer: 1.80327868852
Expected answer: 56831/5978
Correct? No
Problem: What is the sum of 85/1 and 83/69? Simplify your answer as much as possible.
InternLM-Math Base 20B:
Reasoning: 85/1 = <<85/1=85>>85 and 83/69 = <<83/69=1.202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420
Expected answer: 5948/69
Correct? No
Problem: What is the sum of 92/13 and 43/86 as a simplified fraction?
InternLM-Math Base 20B:
Reasoning: 92/13 = <<92/13=7 1/13>>7 1/13 and 43/86 = <<43/86=1/2>>1/2. 7 1/13 + 1/2 = <<7 1/13+1/2=7 9/26>>7 9/26. ### Answer: 7 9/26
Expected answer: 197/26
Correct? No
Problem: What is the sum of 67/32 and 10/98, expressed as a simplified fraction?
InternLM-Math Base 20B:
Reasoning: 67/32 + 10/98 = <<67/32+10/98=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*49/32*49+10*1/98*1=67*
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.
InternLM-Math Base 20B:
Reasoning: 59/52 = <<59/52=59/52>>59/52, 70/32 = <<70/32=35/16>>35/16, 59/52+35/16 = <<59/52+35/16=99/52>>99/52. ### Answer: 99/52
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?
InternLM-Math Base 20B:
Reasoning: 48/5 - 11/65 + 28/2 = <<(48/5 - 11/65) + 28/2 = 9.6 + 14 = 23.6>>23.6 ### Answer: 23.6
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.
InternLM-Math Base 20B:
Reasoning: 20/52 = <<20/52=5/13>>5/13 and 75/82 = <<75/82=15/16>>15/16. 5/13 + 15/16 = <<5/13+15/16=85/104>>85/104. ### Answer: 85/104
Expected answer: 1385/1066
Correct? No
Problem: What is the result of subtracting 92/84 from 31/5? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 92/84 = <<92/84=23/21>>23/21 and 31/5 = <<31/5=62/10>>62/10. 62/10 - 23/21 = <<62/10-23/21=13/10>>13/10. ### Answer: 13/10
Expected answer: 536/105
Correct? No
Problem: Calculate the following: Double the sum of 81/90 and 94/49.
InternLM-Math Base 20B:
Reasoning: Double the sum of 81/90 and 94/49 is 2*(81/90+94/49) = <<2*(81/90+94/49)=2*(81/90+194/98)=2*(175/98)=350/98=17+352/98=17+3+52/98=20+52/98=20+26/49=20+53/49=20+1+4/49=21+4/49=21+1/49=22+1/49=22+2/49=24+2/49=24+1/49=25+1/49=25+2/49=27+2/49=27+1/49=28+1/49=28+2/49=30+2/49=30+1/49=31+1/49=31+2/49=33+2/49=33+1/49=34+1/49=34+2/49=36+2/49=36+1/49=37+1/49=37+2/49=39+2/49=39+1/49=40+1/49=40+2/49=42+2/49=42+1/49=43+1/49=43+2/49=45+2/49=45+1/49=46+1/49=46+2/49=48+2/49=48+1/49=49+1/49=49+2/49=51+2/49=51+1/49=52+1/49=52+2/49=54+2/49=54+1/49=55+1/49=55+2/49=57+2/49=57+1/49=58+1/49=58+2/49=60+2/49=60+1/49=61+1/49=61+2/49=63+2/49=63+1/49=64+1/49=64+2/49=66+2/49=66+1/49=67+1/49=67+2/49=69+2/49=69+1/49=70+1/49=70+2/49=72+2/49=72+1/49=73+1/49=73+2/49=75+2/49=75+1/49=76+1/49=76+2/49=78+2/49=78+1/49=79+1/49=79+2/49=81+2/49=81+1/49=82+1/49=82+2/49=84+2/49=84+1/49=85+1/49=85+2/49=87+2/49=87+1/49=88+1/49=88+2/49=90+2/49=90+1/49=91+1/49=91+2/49=93+2/49=93+1/49=94+1/49=94+2/49=96+2/49=96+1/49=97+1/49=97+2/49=99+2/49=99+1/49=100+1/49=100+2/49=102+2/49=102+1/49=103+1/49=103+2/49=105+2/49=105+1/49=106+1/49=106+2/49=108+2/49=108+1/49=109+1/49=109+2/49=111+2/49=111+1/49=112+1/49=112+2/49=114+2/49=114+1/49=115+1/49=115+2/49=117+2/49=117+1/49=118+1/49=118+2/49=120+2/49=120+1/49=121+1/49=121+2/49=123+2/49=123+1/49=124+1/49=124+2/49=126+2/49=126+1/49=127+1/49=127+2/49=129+2/49=129+1/49=130+1/49=130+2/49=132+2/49=132+1/49=
Expected answer: 1381/245
Correct? No
Problem: Find the difference between 69/21 and 10/92. Write your answer as a simple fraction.
InternLM-Math Base 20B:
Reasoning: 69/21 = <<69/21=3 1/7>>3 1/7 and 10/92 = <<10/92=1/9>>1/9. The difference is 3 1/7 - 1/9 = <<3 1/7-1/9=2 8/63>>2 8/63. ### Answer: 2 8/63
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?
InternLM-Math Base 20B:
Reasoning: (26 / 87) + (92 / 88) = <<26/87+92/88=2.5>>2.5 (26 / 57) = <<26/57=0.45>>0.45 2.5 + 0.45 = <<2.5+0.45=2.95>>2.95 ### Answer: 2.95
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.
InternLM-Math Base 20B:
Reasoning: 78/66 = <<78/66=13/11>>13/11, 28/6 = <<28/6=14/3>>14/3, and 90/34 = <<90/34=15/17>>15/17. 13/11 + 14/3 + 15/17 = <<13/11+14/3+15/17=10/11+14/3+15/17=10/11+42/17=10/11+2=12/11=4/11+1=5/11>>5/11. ### Answer: 5/11
Expected answer: 4766/561
Correct? No
Problem: Calculate: (12 / 7) - (9 / 23). Please simplify your answer to the lowest terms.
InternLM-Math Base 20B:
Reasoning: (12 / 7) - (9 / 23) = <<(12/7)-(9/23)=(12*23-9*7)/(7*23)=(276-63)/(161)=(213/161)>>213/161 ### Answer: 213/161
Expected answer: 213/161
Correct? Yes
Problem: After finding the result of (12 / 7) - (9 / 23), use your answer as t. Then, calculate (40 / 11) - t. What do you find? Please express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: (40 / 11) - t = (40 / 11) - (213 / 161) = <<(40/11)-(213/161)=(40*161-213*11)/(11*161)=(6440-2343)/(1271)=(4097/1271)>>4097/1271 ### Answer: 4097/1271
Expected answer: 4097/1771
Correct? No
Problem: In the previous problem, you calculated (12 / 7) - (9 / 23) which accounted for certain quantities of two different fruits. Now suppose you actually had 12/7th of a crate of oranges but only 9/48th of a crate of apples. In that case, what would be the resulting difference in fractions between the two fruit quantities? Simplify your answer to the lowest terms.
InternLM-Math Base 20B:
Reasoning: 12/7 - 9/48 = <<(12*48-9*7)/(7*48)=(576-63)/(336)=(513/336)>>513/336 ### Answer: 513/336
Expected answer: 171/112
Correct? Yes
Problem: Calculate the sum of 95/18 and 51/61, and represent your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 95/18 + 51/61 = <<95/18+51/61=95*61/18*61+51*18/18*61=5895/1098=1965/366=5/1>>5/1 ### Answer: 5/1
Expected answer: 6713/1098
Correct? No
Problem: Calculate the following subtraction of fractions: (93 / 46) - (51 / 84). Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: (93 / 46) - (51 / 84) = <<(93/46)-(51/84)=(93*84)/(46*84)-(51*46)/(84*46)=(7842-2346)/(3744-2064)=(5596)/(1680)>>5596/1680 ### Answer: 5596/1680
Expected answer: 911/644
Correct? No
Problem: Calculate the sum of the fractions 12/70 and 84/9. Please provide your answer in simplified form.
InternLM-Math Base 20B:
Reasoning: 12/70 = 3/35 and 84/9 = 28/3. 3/35 + 28/3 = 3/35 + 280/35 = 283/35. ### Answer: 283/35
Expected answer: 998/105
Correct? No
Problem: If you subtract 40/92 from 32/3 and double the result, what would you get?
InternLM-Math Base 20B:
Reasoning: 32/3 - 40/92 = <<32/3-40/92=32/3-5/23=32*23/3*23-5*3/23*3=736/69-15/69=721/69>>721/69. 721/69*2 = <<721/69*2=721*2/69=1442/69>>1442/69. ### Answer: 1442/69
Expected answer: 1412/69
Correct? No
Problem: What is the sum of 79/24 and 79/24? Keep your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 79/24 + 79/24 = <<79/24+79/24=158/24>>158/24 ### Answer: 158/24
Expected answer: 79/12
Correct? Yes
Problem: In continuation to the previous problem, now find out what is the sum of two times the previously found sum. In other words, calculate (79/24 + 79/24) + (79/24 + 79/24). Please answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: (79/24 + 79/24) + (79/24 + 79/24) = <<(79/24+79/24)+79/24+79/24=316/24>>316/24 ### Answer: 316/24
Expected answer: 79/6
Correct? Yes
Problem: In the previous problem, you added together two fractions of 79/24. Now, consider if those were fractions of 79/20 instead. What would be the total if you added together two fractions of 79/20? Please express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 79/20 + 79/20 = <<79/20+79/20=158/20>>158/20 ### Answer: 158/20
Expected answer: 79/10
Correct? Yes
Problem: What is the sum of 91/76 and 12/22? Please simplify your fraction.
InternLM-Math Base 20B:
Reasoning: 91/76 = <<91/76=1 15/76>>1 15/76 and 12/22 = <<12/22=3/11>>3/11. 91/76 + 12/22 = <<1 15/76+3/11=1 18/76>>1 18/76. ### Answer: 1 18/76
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?
InternLM-Math Base 20B:
Reasoning: 88/93 + 6/47 = <<88/93+6/47=0.948855421686747>>0.948855421686747 0.948855421686747 + 92/4 = <<0.948855421686747+92/4=23.124855421686747>>23.124855421686747 ### Answer: 23.124855421686747
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.
InternLM-Math Base 20B:
Reasoning: 95/83 = <<95/83=1 12/83>>1 12/83, 52/21 + 75/67 = <<52/21+75/67=1 1/21+1 8/67=1 29/67>>1 1/21+1 8/67=1 29/67, 1 12/83 + 1 29/67 = <<1 12/83+1 29/67=1 41/67>>1 41/67. ### Answer: 1 41/67
Expected answer: 553562/116781
Correct? No
Problem: What is the value of the expression ((73 / 27) - (23 / 48))? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: ((73 / 27) - (23 / 48)) = <<(73/27)-(23/48)=(73*2-23*1)/(27*2)=(146-23)/(54)=123/54=41/18>>123/54 = 41/18 ### Answer: 41/18
Expected answer: 961/432
Correct? No
Problem: Solve the expression (78 / 2) - (70 / 23). Answer as a simplified decimal or fraction.
InternLM-Math Base 20B:
Reasoning: (78 / 2) - (70 / 23) = <<(78/2)-(70/23)=(39)-(3)>>39 - 3 = 36 ### Answer: 36
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.
InternLM-Math Base 20B:
Reasoning: 34/1 = <<34/1=34>>34 and 53/4 = <<53/4=13.25>>13.25. 34+13.25 = <<34+13.25=47.25>>47.25. ### Answer: 47.25
Expected answer: 189/4
Correct? Yes
Problem: Following the result of the previous problem, what is the sum of 24/67 and the result you got from adding 34/1 to 53/4? Express your answer as a mixed number.
InternLM-Math Base 20B:
Reasoning: 24/67 = <<24/67=0.3582>>0.3582 and 47.25 = <<47.25=47.25>>47.25. 0.3582+47.25 = <<0.3582+47.25=47.6082>>47.6082. ### Answer: 47.6082
Expected answer: 12759/268
Correct? No
Problem: Let's reconsider the problem where you were adding fractions. Previously, it was asked to add 34/1 to 53/4. Now consider whether it may have been 34/97 instead of 34/1. What will be the result if you add 34/97 to 53/4? Write your answer as a mixed number.
InternLM-Math Base 20B:
Reasoning: 34/97 = <<34/97=0.3469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612244897959183673469387755102040816326530612
Expected answer: 5277/388
Correct? No
Problem: What is the sum of 3/36 and 97/96? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 3/36 = 1/12, 97/96 = 97/96. 1/12 + 97/96 = <<1/12+97/96=97/96+1/12=97/96+4/48=101/96>>101/96. ### Answer: 101/96
Expected answer: 35/32
Correct? No
Problem: Calculate ((92 / 95) + (4 / 74)). Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: ((92 / 95) + (4 / 74)) = <<(92/95)+(4/74)=(92*74+4*95)/(95*74)=(92*74+380)/(95*74)=(6828+380)/(95*74)=(7208)/(95*74)=(7208)/(7100)=(7208/7100)=1 8/25>>1 8/25 ### Answer: 1 8/25
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.
InternLM-Math Base 20B:
Reasoning: 88/72 + 69/47 = <<88/72+69/47=157/47>>157/47 ### Answer: 157/47
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.
InternLM-Math Base 20B:
Reasoning: The wholesaler has 41/26 - 41/72 = <<41/26-41/72=41/78>>41/78 barrels of olive oil left. ### Answer: 41/78
Expected answer: 943/936
Correct? No
Problem: What is the sum of 85/75 and 88/56? Write your answer in decimal form.
InternLM-Math Base 20B:
Reasoning: 85/75 = <<85/75=1.1333333333333333>>1.1333333333333333 and 88/56 = <<88/56=1.5714285714285714>>1.5714285714285714. The sum of 85/75 and 88/56 is 1.1333333333333333+1.5714285714285714 = <<1.1333333333333333+1.5714285714285714=2.704861111111111>>2.704861111111111. ### Answer: 2.704861111111111
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.
InternLM-Math Base 20B:
Reasoning: 12/33 + 49/2 = <<12/33+49/2=12/33+24.5=12/33+24/2=36/66+24/2=60/66=10/11=1.09090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090
Expected answer: 547/22
Correct? No
Problem: What is the result of adding two fractions, where each fraction is 78/65?
InternLM-Math Base 20B:
Reasoning: 78/65 + 78/65 = <<78/65+78/65=78*2/65=156/65=156/65*13/13=12/5=2 4/5>>2 4/5. ### Answer: 2 4/5
Expected answer: 12/5
Correct? No
Problem: Calculate the sum of 16/7 and 11/90. Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 16/7 + 11/90 = <<16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/7+11/90=16/
Expected answer: 1517/630
Correct? No