InternLM-Math Base 20B on 7.NS.A.1-fraction
Common Core Standard 7.NS.A.1-fraction
This standard covers the following:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).
InternLM-Math Base 20B:
Reasoning: (74 / 63) + (91 / 78) = <<74/63+91/78=1.1795918367346939>>1.1795918367346939 ### Answer: 1.1795918367346939
Expected answer: 295/126
Correct? No
Problem: What is the result of adding 94/5 to 1/25?
InternLM-Math Base 20B:
Reasoning: 94/5 = <<94/5=18.8>>18.8 and 1/25 = <<1/25=0.04>>0.04. Adding 18.8 to 0.04 gives 18.84 = <<18.84=18.84>>18.84. ### Answer: 18.84
Expected answer: 471/25
Correct? Yes
Problem: If the sum from the previous problem is then added to 73/89, what is the final result?
InternLM-Math Base 20B:
Reasoning: 18.84 + 73/89 = <<18.84+73/89=18.84+0.82=19.66>>19.66. ### Answer: 19.66
Expected answer: 43744/2225
Correct? No
Problem: If instead of adding 94/5 you had added 94/89 to 1/25 in the previous problem, what would have been the result?
InternLM-Math Base 20B:
Reasoning: 94/89 = <<94/89=1.0567568>>1.0567568 and 1/25 = <<1/25=0.04>>0.04. Adding 1.0567568 to 0.04 gives 1.0967568 = <<1.0967568=1.0967568>>1.0967568. ### Answer: 1.0967568
Expected answer: 2439/2225
Correct? No
Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 49/8 - 48/20 = <<49/8-48/20=49/8*5/5-48/20*4/4=245/40-192/80=53/40>>53/40 ### Answer: 53/40
Expected answer: 149/40
Correct? No
Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).
InternLM-Math Base 20B:
Reasoning: ((45 / 5) - (6 / 47)) = <<(45/5)-(6/47)=(9)-(0.128)=8.872>>8.872 ### Answer: 8.872
Expected answer: 417/47
Correct? No
Problem: What is the sum of 22/49 and 72/35? Provide your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 22/49 = <<22/49=22/49>>22/49 and 72/35 = <<72/35=72/35>>72/35. 22/49 + 72/35 = <<22/49+72/35=22/49+72/35>>22/49+72/35. ### Answer: 22/49+72/35
Expected answer: 614/245
Correct? Yes
Problem: After you've computed the sum of 22/49 and 72/35, add this result to 32/21. What is the final sum, presented as a simplified fraction?
InternLM-Math Base 20B:
Reasoning: 22/49 + 72/35 = <<22/49+72/35=22/49+72/35>>22/49+72/35 and 32/21 = <<32/21=32/21>>32/21. 22/49+72/35 + 32/21 = <<22/49+72/35+32/21=22/49+72/35+32/21>>22/49+72/35+32/21. ### Answer: 22/49+72/35+32/21
Expected answer: 2962/735
Correct? Yes
Problem: Imagine you originally had 22/34 of a basket of ripe apples instead of 22/49, and you also have 72/35 of a basket of oranges. How much do you have in total, given these new amounts? Provide your answer in simplified form.
InternLM-Math Base 20B:
Reasoning: 22/34 = <<22/34=22/34>>22/34 and 72/35 = <<72/35=72/35>>72/35. 22/34 + 72/35 = <<22/34+72/35=22/34+72/35>>22/34+72/35. ### Answer: 22/34+72/35
Expected answer: 1609/595
Correct? No
Problem: What is the result of (39 / 9) - (44 / 69)?
InternLM-Math Base 20B:
Reasoning: (39 / 9) - (44 / 69) = <<(39/9)-(44/69)=-0.0...>>-0.0... ### Answer: -0.0...
Expected answer: 85/23
Correct? No
Problem: Calculate the sum of 49/79 and 18/21.
InternLM-Math Base 20B:
Reasoning: 49/79 = <<49/79=0.61646...>>0.61646... and 18/21 = <<18/21=0.85714...>>0.85714.... The sum of 49/79 and 18/21 is 0.61646... + 0.85714... = <<0.61646...+0.85714...=1.47360...>>1.47360.... ### Answer: 1.47360...
Expected answer: 817/553
Correct? No
Problem: What is the sum of 95/46 and 65/31?
InternLM-Math Base 20B:
Reasoning: 95/46 = <<95/46=2.065217391304347826086956521739>>2.065217391304347826086956521739 and 65/31 = <<65/31=2.096774193548387096774193548387>>2.096774193548387096774193548387. The sum of 95/46 and 65/31 is 2.065217391304347826086956521739+2.096774193548387096774193548387 = <<2.065217391304347826086956521739+2.096774193548387096774193548387=4.162001584652718804465111440576>>4.162001584652718804465111440576. ### Answer: 4.162001584652718804465111440576
Expected answer: 5935/1426
Correct? No
Problem: What is the sum of 25 over 63 and 74 over 6?
InternLM-Math Base 20B:
Reasoning: 25/63 + 74/6 = <<25/63+74/6=25/63+37/3=25/63+125/63=150/63=5/3=1 2/3>>1 2/3 ### Answer: 1 2/3
Expected answer: 802/63
Correct? No
Problem: What is the sum of 79/91 and 100/47?
InternLM-Math Base 20B:
Reasoning: 79/91 = <<79/91=0.8678>>0.8678 and 100/47 = <<100/47=2.127>>2.127. The sum of 79/91 and 100/47 is 0.8678+2.127 = <<0.8678+2.127=2.9948>>2.9948. ### Answer: 2.9948
Expected answer: 12813/4277
Correct? No
Problem: What is the result of ((55 / 47) + (72 / 21))?
InternLM-Math Base 20B:
Reasoning: 55/47 = <<55/47=1.17>>1.17 and 72/21 = <<72/21=3.43>>3.43. ((55 / 47) + (72 / 21)) = 1.17 + 3.43 = <<1.17+3.43=4.6>>4.6 ### Answer: 4.6
Expected answer: 1513/329
Correct? No
Problem: What is the sum of 86/62 and 99/41?
InternLM-Math Base 20B:
Reasoning: 86/62 = <<86/62=1.4>>1.4 and 99/41 = <<99/41=2.4>>2.4. 86/62 + 99/41 = <<1.4+2.4=3.8>>3.8. ### Answer: 3.8
Expected answer: 4832/1271
Correct? No
Problem: Calculate the sum of 87/88 and 24/13.
InternLM-Math Base 20B:
Reasoning: 87/88 = <<87/88=0.99...>>0.99... and 24/13 = <<24/13=1.846...>>1.846... . 0.99... + 1.846... = <<0.99...+1.846...=2.836...>>2.836... . ### Answer: 2.836...
Expected answer: 3243/1144
Correct? No
Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.
InternLM-Math Base 20B:
Reasoning: ((68 / 33) + (70 / 25)) = <<(68/33)+(70/25)=(68*5+70*3)/(33*5*25)=(340+210)/(825)=(340+210)/825=550/825=(550:5)/(825:5)=(11*50)/(165*5)=(11*2)/(33*5)=(22/33)>>22/33 ### Answer: 22/33
Expected answer: 802/165
Correct? No
Problem: What is the summation of 35/97 and 11/9? Express the result in simplest form.
InternLM-Math Base 20B:
Reasoning: 35/97 + 11/9 = <<35/97+11/9=35/97+99/97=134/97>>134/97. ### Answer: 134/97
Expected answer: 1382/873
Correct? No
Problem: What is the result of subtracting 79/70 from 11/5?
InternLM-Math Base 20B:
Reasoning: 11/5 = <<11/5=2.2>>2.2 and 79/70 = <<79/70=1.13...>>1.13... . 2.2 - 1.13... = <<2.2-1.13...=1.07...>>1.07... . ### Answer: 1.07...
Expected answer: 15/14
Correct? No
Problem: What is the sum of 68/16 and 52/78?
InternLM-Math Base 20B:
Reasoning: 68/16 = <<68/16=4 2/16>>4 2/16 and 52/78 = <<52/78=4 44/78>>4 44/78. 4 2/16 + 4 44/78 = <<4 2/16+4 44/78=8 46/78>>8 46/78. ### Answer: 8 46/78
Expected answer: 59/12
Correct? No
Problem: Find the sum of 21/75 and 44/47.
InternLM-Math Base 20B:
Reasoning: 21/75 = <<21/75=0.28>>0.28 and 44/47 = <<44/47=0.936170213...>>0.936170213.... 21/75 + 44/47 = <<21/75+44/47=1.2162...>>1.2162.... ### Answer: 1.2162...
Expected answer: 1429/1175
Correct? No
Problem: Calculate the result of (77/5 + 4/11).
InternLM-Math Base 20B:
Reasoning: (77/5 + 4/11) = <<77/5+4/11=17/5+4/11=71/55+4/11=75/55=7/5>>7/5 ### Answer: 7/5
Expected answer: 867/55
Correct? No
Problem: What's the sum of 60/48 and 37/47?
InternLM-Math Base 20B:
Reasoning: 60/48 = <<60/48=5/4>>5/4 and 37/47 = <<37/47=37/47>>37/47. 5/4 + 37/47 = <<5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47=5/4+37/47
Expected answer: 383/188
Correct? No
Problem: Solve ((14 / 72) + (25 / 6)).
InternLM-Math Base 20B:
Reasoning: ((14 / 72) + (25 / 6)) = <<(14/72)+(25/6)=(7/36)+(25/6)=(7/36)+(5/12)=(35/108)+(35/108)=(70/108)>>70/108 ### Answer: 70/108
Expected answer: 157/36
Correct? No
Problem: What is the sum of 84/97 and 25/2?
InternLM-Math Base 20B:
Reasoning: 84/97 = <<84/97=0.8650>>0.8650 and 25/2 = <<25/2=12.5>>12.5. The sum of 84/97 and 25/2 is 0.8650+12.5 = <<0.8650+12.5=13.3650>>13.3650. ### Answer: 13.3650
Expected answer: 2593/194
Correct? No
Problem: What is the difference between the fractions 66/20 and 4/78?
InternLM-Math Base 20B:
Reasoning: 66/20 = <<66/20=3.3>>3.3 and 4/78 = <<4/78=0.05128205128205128>>0.05128205128205128. 3.3-0.05128205128205128 = <<3.3-0.05128205128205128=3.2487179487189796>>3.2487179487189796 ### Answer: 3.2487179487189796
Expected answer: 1267/390
Correct? No
Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.
InternLM-Math Base 20B:
Reasoning: 83/37 = <<83/37=2.2297>>2.2297 and 12/14 = <<12/14=0.8571>>0.8571. 83/37-12/14 = <<2.2297-0.8571=1.3726>>1.3726 ### Answer: 1.3726
Expected answer: 359/259
Correct? No
Problem: What is the sum of 95/57 and 28/80?
InternLM-Math Base 20B:
Reasoning: 95/57 = <<95/57=1.6666666666666667>>1.6666666666666667 and 28/80 = <<28/80=0.35>>0.35. The sum of 95/57 and 28/80 is 1.6666666666666667+0.35 = <<1.6666666666666667+0.35=2.0166666666666665>>2.0166666666666665. ### Answer: 2.0166666666666665
Expected answer: 121/60
Correct? Yes
Problem: If you double the sum of 95/57 and 28/80, what will you get?
InternLM-Math Base 20B:
Reasoning: 95/57 = <<95/57=1.6666666666666667>>1.6666666666666667 and 28/80 = <<28/80=0.35>>0.35. The sum of 95/57 and 28/80 is 1.6666666666666667+0.35 = <<1.6666666666666667+0.35=2.0166666666666665>>2.0166666666666665. If you double the sum of 95/57 and 28/80, you will get 2.0166666666666665*2 = <<2.0166666666666665*2=4.033333333333333>>4.033333333333333. ### Answer: 4.033333333333333
Expected answer: 121/30
Correct? Yes
Problem: In the previous problem you considered the sum of 95/57 and 28/80, now consider what would happen if you changed the 57 in the denominator of the first fraction to a 21. What would be the new sum of 95/21 and 28/80?
InternLM-Math Base 20B:
Reasoning: 95/21 = <<95/21=4.523809523809524>>4.523809523809524 and 28/80 = <<28/80=0.35>>0.35. The sum of 95/21 and 28/80 is 4.523809523809524+0.35 = <<4.523809523809524+0.35=4.873809523809524>>4.873809523809524. ### Answer: 4.873809523809524
Expected answer: 2047/420
Correct? No
Problem: Calculate the sum of 14/57 and 92/42.
InternLM-Math Base 20B:
Reasoning: 14/57 = <<14/57=0.24561403508875>>0.24561403508875 92/42 = <<92/42=2.1904761904762>>2.1904761904762 14/57 + 92/42 = <<0.24561403508875+2.1904761904762=2.4360902359747>>2.4360902359747 ### Answer: 2.4360902359747
Expected answer: 324/133
Correct? No
Problem: What is the result of ((77 / 55) + (6 / 5))?
InternLM-Math Base 20B:
Reasoning: ((77 / 55) + (6 / 5)) = <<(77/55)+(6/5)=(77+6)/(55)=83/55>>83/55 ### Answer: 83/55
Expected answer: 13/5
Correct? No
Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?
InternLM-Math Base 20B:
Reasoning: (56 / 8) + (90 / 86) = <<(56/8)+(90/86)=7+1=8>>8 ### Answer: 8
Expected answer: 346/43
Correct? No
Problem: What is the sum of 23/20 and 82/97?
InternLM-Math Base 20B:
Reasoning: 23/20 = <<23/20=1.15>>1.15 and 82/97 = <<82/97=0.84>>0.84. 1.15+0.84 = <<1.15+0.84=1.99>>1.99. ### Answer: 1.99
Expected answer: 3871/1940
Correct? No
Problem: Calculate the sum of 54/88 and 28/10.
InternLM-Math Base 20B:
Reasoning: 54/88 = <<54/88=0.6125>>0.6125 and 28/10 = <<28/10=2.8>>2.8. 54/88 + 28/10 = <<0.6125+2.8=3.4125>>3.4125. ### Answer: 3.4125
Expected answer: 751/220
Correct? No
Problem: What is the result of the following operation: 7 / 69 + 71 / 47?
InternLM-Math Base 20B:
Reasoning: 7 / 69 + 71 / 47 = <<7/69+71/47=1.0+1.5=2.5>>2.5 ### Answer: 2.5
Expected answer: 5228/3243
Correct? No
Problem: What is the sum of 15/32 and 65/15?
InternLM-Math Base 20B:
Reasoning: 15/32 = <<15/32=0.46875>>0.46875 and 65/15 = <<65/15=4.3333333333333335>>4.3333333333333335. 15/32 + 65/15 = <<0.46875+4.3333333333333335=4.802083333333333>>4.802083333333333 ### Answer: 4.802083333333333
Expected answer: 461/96
Correct? Yes
Problem: What is the sum of 87/26 and the result of the previous problem ((15/32) + (65/15))?
InternLM-Math Base 20B:
Reasoning: 87/26 = <<87/26=3.346153846153846>>3.346153846153846 and (15/32) + (65/15) = <<0.46875+4.3333333333333335=4.802083333333333>>4.802083333333333. 87/26 + (15/32) + (65/15) = <<3.346153846153846+4.802083333333333=8.148238280484582>>8.148238280484582 ### Answer: 8.148238280484582
Expected answer: 10169/1248
Correct? No
Problem: What is the sum of 4/31 and 76/11?
InternLM-Math Base 20B:
Reasoning: 4/31 = <<4/31=0.129>>0.129 and 76/11 = <<76/11=6.909>>6.909. 4/31 + 76/11 = <<0.129+6.909=7.038>>7.038. ### Answer: 7.038
Expected answer: 2400/341
Correct? No
Problem: What is the sum when you add 82/15 to 100/12?
InternLM-Math Base 20B:
Reasoning: 82/15 = <<82/15=5 7/15>>5 7/15 and 100/12 = <<100/12=8 1/12>>8 1/12. 5 7/15 + 8 1/12 = <<5 7/15+8 1/12=13 16/60=13 13/30=1 17/30=1 34/60=1 17/30=1 34/60=1 34/60=1 1/2+17/60=13 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60=1 34/60
Expected answer: 69/5
Correct? No
Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.
InternLM-Math Base 20B:
Reasoning: ((92 / 29) + (41 / 33)) = <<(92/29)+(41/33)=((92*33)+(41*29))/29/33=((3084+1189)/29/33)=((4273)/29/33)=((4273*33)/29/33/33)=((4273*33)/29/1001)=<<4273*33/29/1001=1424/1001>>1424/1001 ### Answer: 1424/1001
Expected answer: 4225/957
Correct? No
Problem: What is the sum of 57/29 and 14/98?
InternLM-Math Base 20B:
Reasoning: 57/29 = <<57/29=1.96551724137931>>1.96551724137931 and 14/98 = <<14/98=0.142857142857143>>0.142857142857143. 57/29+14/98 = <<57/29+14/98=2.10837856525663>>2.10837856525663. ### Answer: 2.10837856525663
Expected answer: 428/203
Correct? No
Problem: Solve the given expression: 70/25 + 83/28.
InternLM-Math Base 20B:
Reasoning: 70/25 + 83/28 = <<70/25=2.8, 83/28=2.964285714285714>>2.8 + 2.964285714285714 = <<2.8+2.964285714285714=5.764285714285714>>5.764285714285714 ### Answer: 5.764285714285714
Expected answer: 807/140
Correct? Yes
Problem: After finding the result from the previous problem: 70/25 + 83/28, what is the result when you subtract 47/13 from your answer?
InternLM-Math Base 20B:
Reasoning: 70/25 + 83/28 = <<70/25=2.8, 83/28=2.964285714285714>>2.8 + 2.964285714285714 = <<2.8+2.964285714285714=5.764285714285714>>5.764285714285714 ### Answer: 5.764285714285714
Expected answer: 3911/1820
Correct? No
Problem: Let's revise the problem from before. If instead of having 70/25 oranges, you had 70/25 apples, and instead of having 83/28 more apples, you had 83/8 more oranges. What is the total of apples and oranges you have now?
InternLM-Math Base 20B:
Reasoning: 70/25 + 83/8 = <<70/25=2.8, 83/8=10.375>>2.8 + 10.375 = <<2.8+10.375=13.175>>13.175 ### Answer: 13.175
Expected answer: 527/40
Correct? Yes
Problem: What is the result of adding the fractions 50/73 and 20/23?
InternLM-Math Base 20B:
Reasoning: 50/73 = <<50/73=0.684932 >>0.684932 and 20/23 = <<20/23=0.869565>>0.869565. Adding 0.684932 and 0.869565 gives 1.554. ### Answer: 1.554
Expected answer: 2610/1679
Correct? No
Problem: What is the value of ((49 / 57) + (89 / 99))?
InternLM-Math Base 20B:
Reasoning: 49/57 = <<49/57=0.857>>0.857 and 89/99 = <<89/99=0.89>>0.89. (49/57) + (89/99) = 0.857 + 0.89 = <<0.857+0.89=1.747>>1.747. ### Answer: 1.747
Expected answer: 3308/1881
Correct? No
Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 94/35 - 23/49 = <<94/35-23/49=94*49/35*49-23*35/49*35=4718/1715-805/1715=4718-805/1715=3913/1715>>3913/1715 ### Answer: 3913/1715
Expected answer: 543/245
Correct? No
Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.
InternLM-Math Base 20B:
Reasoning: 58/30 + 49/37 = <<58/30+49/37=117/110>>117/110 ### Answer: 117/110
Expected answer: 1808/555
Correct? No
Problem: Calculate the sum of 45/53 and 71/50.
InternLM-Math Base 20B:
Reasoning: 45/53 = <<45/53=0.8490566037735849>>0.8490566037735849 and 71/50 = <<71/50=1.42>>1.42. 45/53 + 71/50 = <<0.8490566037735849+1.42=2.2690566037735848>>2.2690566037735848 ### Answer: 2.2690566037735848
Expected answer: 6013/2650
Correct? Yes
Problem: After adding 45/53 and 71/50, add this sum to an additional 8/100. What is the final result?
InternLM-Math Base 20B:
Reasoning: 45/53 = <<45/53=0.8490566037735849>>0.8490566037735849 and 71/50 = <<71/50=1.42>>1.42. 45/53 + 71/50 = <<0.8490566037735849+1.42=2.2690566037735848>>2.2690566037735848 2.2690566037735848 + 8/100 = <<2.2690566037735848+0.08=2.3490566037735848>>2.3490566037735848 ### Answer: 2.3490566037735848
Expected answer: 249/106
Correct? Yes
Problem: Instead of adding 45/53 and 71/50, let's now consider if we add 45/53 and 71/72. What result do we get?
InternLM-Math Base 20B:
Reasoning: 45/53 = <<45/53=0.8490566037735849>>0.8490566037735849 and 71/72 = <<71/72=0.9861111016959045>>0.9861111016959045. 45/53 + 71/72 = <<0.8490566037735849+0.9861111016959045=1.83516771545949945>>1.83516771545949945 ### Answer: 1.83516771545949945
Expected answer: 7003/3816
Correct? No
Problem: Calculate the sum of 36/72 and 49/1.
InternLM-Math Base 20B:
Reasoning: 36/72 = <<36/72=1/2>>1/2 and 49/1 = <<49/1=49>>49. 1/2+49 = <<1/2+49=49.5>>49.5 ### Answer: 49.5
Expected answer: 99/2
Correct? Yes
Problem: After calculating the sum of 36/72 and 49/1, subtract 48/10 from the result. What is the final answer?
InternLM-Math Base 20B:
Reasoning: 1/2+49 = <<1/2+49=49.5>>49.5 and 48/10 = <<48/10=4.8>>4.8. 49.5-4.8 = <<49.5-4.8=44.7>>44.7 ### Answer: 44.7
Expected answer: 447/10
Correct? Yes
Problem: Earlier, you calculated the sum of 36/72 and 49/1. But what if instead of adding 49/1, you only added 14/1? What would be the new sum?
InternLM-Math Base 20B:
Reasoning: 36/72 = <<36/72=1/2>>1/2 and 14/1 = <<14/1=14>>14. 1/2+14 = <<1/2+14=14.5>>14.5 ### Answer: 14.5
Expected answer: 29/2
Correct? Yes
Problem: What is the sum of 61/20 and 29/15?
InternLM-Math Base 20B:
Reasoning: 61/20 = <<61/20=3 1/20>>3 1/20 and 29/15 = <<29/15=1 14/15>>1 14/15. 3 1/20 + 1 14/15 = <<3 1/20+1 14/15=5 3/20>>5 3/20. ### Answer: 5 3/20
Expected answer: 299/60
Correct? No
Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.
InternLM-Math Base 20B:
Reasoning: ((33 / 90) + (77 / 79)) = <<(33 / 90) + (77 / 79)=(33*79+77*90)/(90*79)=(33*79+77*90)/7110>>((33*79+77*90)/7110) ### Answer: (33*79+77*90)/7110
Expected answer: 3179/2370
Correct? Yes
Problem: In continuation of the previous question, what would you get if you subtract 7/89 from the result of ((33 / 90) + (77 / 79))? Please give your answer as an unsimplified fraction.
InternLM-Math Base 20B:
Reasoning: ((33*79+77*90)/7110) - 7/89 = <<(33*79+77*90)/7110 - 7/89=(33*79+77*90-7*7110)/7110=(33*79+77*90-7*7110)/7110>>((33*79+77*90-7*7110)/7110) ### Answer: (33*79+77*90-7*7110)/7110
Expected answer: 266341/210930
Correct? No
Problem: Taking the previous problem into consideration, what if the fraction you were initially adding to 33/90 was 98/79 instead of 77/79? Solve the expression ((33 / 90) + (98 / 79)) and give your answer as an unsimplified fraction.
InternLM-Math Base 20B:
Reasoning: ((33 / 90) + (98 / 79)) = <<(33 / 90) + (98 / 79)=(33*79+98*90)/(90*79)=(33*79+98*90)/7110>>((33*79+98*90)/7110) ### Answer: (33*79+98*90)/7110
Expected answer: 3809/2370
Correct? Yes
Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.
InternLM-Math Base 20B:
Reasoning: 30/79 + 29/6 = <<30/79+29/6=30/79*6/6+29/6*79/79=180/474+203/474=383/474>>383/474. ### Answer: 383/474
Expected answer: 2471/474
Correct? No
Problem: What is the answer when you subtract 11/66 from 59/2?
InternLM-Math Base 20B:
Reasoning: 11/66 = <<11/66=0.16666666666666666>>0.16666666666666666 59/2 = <<59/2=29.5>>29.5 29.5 - 0.16666666666666666 = <<29.5-0.16666666666666666=29.333333333333336>>29.333333333333336 ### Answer: 29.333333333333336
Expected answer: 88/3
Correct? No
Problem: Consider these two fractions: 58/23 and 25/26. What is the sum when those two fractions are added together?
InternLM-Math Base 20B:
Reasoning: 58/23 = <<58/23=2 19/23>>2 19/23 and 25/26 = <<25/26=0 25/26>>0 25/26. The sum of 2 19/23 and 0 25/26 is 2 44/23. ### Answer: 2 44/23
Expected answer: 2083/598
Correct? No
Problem: Calculate the sum of the fractions 70/13 and 17/52.
InternLM-Math Base 20B:
Reasoning: 70/13 = <<70/13=5 5/13>>5 5/13 and 17/52 = <<17/52=1/3>>1/3. The sum of 5 5/13 and 1/3 is 5 8/13. ### Answer: 5 8/13
Expected answer: 297/52
Correct? No
Problem: What is the sum of 78/44 and 17/91?
InternLM-Math Base 20B:
Reasoning: 78/44 = <<78/44=1 34/44>>1 34/44 and 17/91 = <<17/91=0 17/91>>0 17/91. The sum of 78/44 and 17/91 is 1 34/44 + 0 17/91 = <<1 34/44+0 17/91=1 51/44>>1 51/44. ### Answer: 1 51/44
Expected answer: 3923/2002
Correct? No
Problem: What is the sum of 43/4 and 71/4?
InternLM-Math Base 20B:
Reasoning: 43/4 + 71/4 = <<43/4+71/4=114/4=29>>29 ### Answer: 29
Expected answer: 57/2
Correct? No
Problem: What is the result of adding the fractions 17/74 and 53/27?
InternLM-Math Base 20B:
Reasoning: 17/74 = <<17/74=17/37>>17/37 and 53/27 = <<53/27=2/3>>2/3. 17/37 + 2/3 = <<17/37+2/3=59/111>>59/111. ### Answer: 59/111
Expected answer: 4381/1998
Correct? No
Problem: Compute the value of (76/76) + (96/16).
InternLM-Math Base 20B:
Reasoning: (76/76) = 1, and (96/16) = 6. 1 + 6 = 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: After finding the value of (76/76) + (96/16), what is the result when you add the solution to itself?
InternLM-Math Base 20B:
Reasoning: (76/76) + (96/16) = 7. 7 + 7 = 14. ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: You originally calculated (76/76) + (96/16). Now reconsider your thought, what would be the new total if the second fraction was 96/33 instead of 96/16?
InternLM-Math Base 20B:
Reasoning: (76/76) = 1, and (96/33) = 3. 1 + 3 = 4. ### Answer: 4
Expected answer: 43/11
Correct? No
Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: ((94 / 14) - (50 / 90)) = <<(94/14)-(50/90)=(47/7)-(1/3)=(47*3-1*7)/(7*3)=(140-7)/(21)=(133/21)>> (133/21) ### Answer: 133/21
Expected answer: 388/63
Correct? No
Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?
InternLM-Math Base 20B:
Reasoning: 29/70-33/7 = <<29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70-33/7=29/70
Expected answer: 2404/553
Correct? No
Problem: What is the sum of 60/79 and 53/38?
InternLM-Math Base 20B:
Reasoning: 60/79 = <<60/79=0.7597>>0.7597 and 53/38 = <<53/38=1.3947>>1.3947. 0.7597+1.3947 = <<0.7597+1.3947=2.1544>>2.1544. ### Answer: 2.1544
Expected answer: 6467/3002
Correct? No
Problem: Solve the following fraction equation: 39/48 + 19/84.
InternLM-Math Base 20B:
Reasoning: 39/48 + 19/84 = <<39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/48+19/84=39/
Expected answer: 349/336
Correct? No
Problem: What is the sum of 16/86 and 60/3?
InternLM-Math Base 20B:
Reasoning: 16/86 = <<16/86=0.18>>0.18 and 60/3 = <<60/3=20>>20. 0.18+20 = <<0.18+20=20.18>>20.18 ### Answer: 20.18
Expected answer: 868/43
Correct? No
Problem: Solve the following equation: ((95 / 69) + (67 / 9))
InternLM-Math Base 20B:
Reasoning: ((95 / 69) + (67 / 9)) = <<(95 / 69) + (67 / 9) = 2.8>>2.8 ### Answer: 2.8
Expected answer: 1826/207
Correct? No
Problem: Calculate the result of 95 / 16 - 43 / 60.
InternLM-Math Base 20B:
Reasoning: 95 / 16 - 43 / 60 = <<95/16-43/60=2.8125>>2.8125 ### Answer: 2.8125
Expected answer: 1253/240
Correct? No
Problem: What is the sum of the fractions 38/8 and 4/16?
InternLM-Math Base 20B:
Reasoning: 38/8 = 38/8 * 2/2 = <<38/8*2/2=76/16>>76/16. 76/16 + 4/16 = <<76/16+4/16=80/16>>80/16. ### Answer: 80/16
Expected answer: 5
Correct? Yes
Problem: Recalling the fraction calculation from the previous problem (38/8 and 4/16), what is the new total if you were to add 32/64 to this sum?
InternLM-Math Base 20B:
Reasoning: 32/64 = 32/64 * 2/2 = <<32/64*2/2=64/128>>64/128. 64/128 + 80/16 = <<64/128+80/16=64/128+80/16*8/8=64/128+640/128=704/128>>704/128. ### Answer: 704/128
Expected answer: 11/2
Correct? Yes
Problem: In the previous problem, we considered the sum of the fractions 38/8 and 4/16 and then added 32/64. Now, instead of 38/8, let's consider 12/8. What would be the new sum if you added 12/8 and 4/16 together?
InternLM-Math Base 20B:
Reasoning: 12/8 = 12/8 * 2/2 = <<12/8*2/2=24/16>>24/16. 24/16 + 4/16 = <<24/16+4/16=28/16>>28/16. ### Answer: 28/16
Expected answer: 7/4
Correct? Yes
Problem: Calculate the result of 67 / 15 - 27 / 12.
InternLM-Math Base 20B:
Reasoning: 67 / 15 - 27 / 12 = <<67/15-27/12=2.1333333333333335>>2.1333333333333335 ### Answer: 2.1333333333333335
Expected answer: 133/60
Correct? No
Problem: Calculate the sum of 38/59 and 80/94.
InternLM-Math Base 20B:
Reasoning: 38/59 = <<38/59=0.64407>>0.64407 and 80/94 = <<80/94=0.851064>>0.851064. 38/59 + 80/94 = <<38/59+80/94=1.49513>>1.49513. ### Answer: 1.49513
Expected answer: 4146/2773
Correct? No
Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.
InternLM-Math Base 20B:
Reasoning: 10/14 = <<10/14=0.7142857142857143>>0.7142857142857143 and 70/20 = <<70/20=3.5>>3.5. 10/14 + 70/20 = <<0.7142857142857143+3.5=4.214285714285714>>4.214285714285714. ### Answer: 4.214285714285714
Expected answer: 59/14
Correct? Yes
Problem: After calculating the sum of 10/14 and 70/20, add this result to 100/20. What is the new total?
InternLM-Math Base 20B:
Reasoning: 10/14 = <<10/14=0.7142857142857143>>0.7142857142857143 and 70/20 = <<70/20=3.5>>3.5. 10/14 + 70/20 = <<0.7142857142857143+3.5=4.214285714285714>>4.214285714285714. 100/20 = <<100/20=5>>5. 4.214285714285714 + 5 = <<4.214285714285714+5=9.214285714285714>>9.214285714285714. ### Answer: 9.214285714285714
Expected answer: 129/14
Correct? Yes
Problem: After reviewing your previous calculation, you realize that the first fraction was not 10/14 but actually 10/18. Now find the sum of the corrected fraction, 10/18 and the same second fraction, 70/20. What is the revised total?
InternLM-Math Base 20B:
Reasoning: 10/18 = <<10/18=0.5555555555555556>>0.5555555555555556 and 70/20 = <<70/20=3.5>>3.5. 10/18 + 70/20 = <<0.5555555555555556+3.5=4.055555555555555>>4.055555555555555. ### Answer: 4.055555555555555
Expected answer: 73/18
Correct? Yes
Problem: What is the result of subtracting 19/44 from 33/5?
InternLM-Math Base 20B:
Reasoning: 33/5 = <<33/5=6.6>>6.6 and 19/44 = <<19/44=0.43>>0.43. 33/5 - 19/44 = 6.6 - 0.43 = <<6.6-0.43=6.17>>6.17 ### Answer: 6.17
Expected answer: 1357/220
Correct? No
Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.
InternLM-Math Base 20B:
Reasoning: (97 / 13) + (62 / 22) = <<(97/13)+(62/22)=(7+4)+(3+1)=11+4=15>>15 ### Answer: 15.00
Expected answer: 1470/143
Correct? No
Problem: What is the sum of 78 divided by 35 and 30 divided by 60?
InternLM-Math Base 20B:
Reasoning: 78/35 = <<78/35=2.2>>2.2 and 30/60 = <<30/60=0.5>>0.5. 2.2+0.5 = <<2.2+0.5=2.7>>2.7 ### Answer: 2.7
Expected answer: 191/70
Correct? No
Problem: What is the sum of 49/75 and 88/58?
InternLM-Math Base 20B:
Reasoning: 49/75 = <<49/75=0.6533333333333334>>0.6533333333333334 and 88/58 = <<88/58=1.5172413793103448>>1.5172413793103448. The sum of 49/75 and 88/58 is 0.6533333333333334+1.5172413793103448 = <<0.6533333333333334+1.5172413793103448=2.1705747266436932>>2.1705747266436932. ### Answer: 2.1705747266436932
Expected answer: 4721/2175
Correct? No
Problem: What is the result of ((50 / 2) - (50 / 32))?
InternLM-Math Base 20B:
Reasoning: 50/2 = <<50/2=25>>25 and 50/32 = <<50/32=1.5625>>1.5625. 25 - 1.5625 = <<25-1.5625=23.4375>>23.4375 ### Answer: 23.4375
Expected answer: 375/16
Correct? Yes
Problem: Following up on our previous question, what is the result when you add (72 / 81) to the difference between (50 / 2) and (50 / 32)?
InternLM-Math Base 20B:
Reasoning: 50/2 = <<50/2=25>>25 and 50/32 = <<50/32=1.5625>>1.5625. 25 - 1.5625 = <<25-1.5625=23.4375>>23.4375 72/81 = <<72/81=0.8888888888888889>>0.8888888888888889 23.4375 + 0.8888888888888889 = <<23.4375+0.8888888888888889=24.3275>>24.3275 ### Answer: 24.3275
Expected answer: 3503/144
Correct? No
Problem: Following the previous problem, consider this change, what would the result be if instead of dividing by 32, you divide 50 by 91? What would be the new result for ((50 / 2) - (50 / 91))?
InternLM-Math Base 20B:
Reasoning: 50/2 = <<50/2=25>>25 and 50/91 = <<50/91=0.543956>>0.543956. 25 - 0.543956 = <<25-0.543956=24.456044>>24.456044 ### Answer: 24.456044
Expected answer: 2225/91
Correct? No
Problem: What is the result of ((77 / 30) + (18 / 51))?
InternLM-Math Base 20B:
Reasoning: 77/30 = <<77/30=2.566666666666667>>2.566666666666667 18/51 = <<18/51=0.3529411764705882>>0.3529411764705882 2.566666666666667 + 0.3529411764705882 = <<2.566666666666667+0.3529411764705882=2.919635>>2.919635 ### Answer: 2.919635
Expected answer: 1489/510
Correct? No
Problem: What is the result of (36 / 37) + (8 / 4)?
InternLM-Math Base 20B:
Reasoning: (36 / 37) + (8 / 4) = <<(36/37)+(8/4)=1.027027>>1.027027 ### Answer: 1.027027
Expected answer: 110/37
Correct? No
Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form.
InternLM-Math Base 20B:
Reasoning: (57 / 22) - (72 / 48) = <<(57/22)-(72/48)=(57*6-72*1)/132=(342-72)/132=270/132=15/22>>15/22 ### Answer: 15/22
Expected answer: 12/11
Correct? No
Problem: What is the sum of 48 divided by 16 and 12 divided by 29?
InternLM-Math Base 20B:
Reasoning: 48/16 = <<48/16=3>>3 and 12/29 = <<12/29=0.4>>0.4. 3+0.4 = <<3+0.4=3.4>>3.4. ### Answer: 3.4
Expected answer: 99/29
Correct? No
Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 37/20 = <<37/20=37/20>>37/20, 16/75 = <<16/75=16/75>>16/75. 37/20 + 16/75 = <<37/20+16/75=37/20+16/75>>37/20+16/75. ### Answer: 37/20+16/75
Expected answer: 619/300
Correct? Yes
Problem: In addition to the previously computed sum of 37/20 and 16/75, now add the fraction 61/80 to this sum. What is the total when all three fractions are added together?
InternLM-Math Base 20B:
Reasoning: 37/20 + 16/75 + 61/80 = <<37/20+16/75+61/80=37/20+16/75+61/80>>37/20+16/75+61/80. ### Answer: 37/20+16/75+61/80
Expected answer: 3391/1200
Correct? No
Problem: If there originally were 60/20 portions of a cake and you added 16/75 portions of another cake to it, how much cake would you have in total? Please write your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 60/20 = <<60/20=3>>3, 16/75 = <<16/75=16/75>>16/75. 3 + 16/75 = <<3+16/75=3+16/75>>3+16/75. ### Answer: 3+16/75
Expected answer: 241/75
Correct? Yes
Problem: Calculate the summation: 83/40 + 6/8.
InternLM-Math Base 20B:
Reasoning: 83/40 = <<83/40=2.075>>2.075 and 6/8 = <<6/8=0.75>>0.75. 2.075 + 0.75 = <<2.075+0.75=2.825>>2.825. ### Answer: 2.825
Expected answer: 113/40
Correct? Yes
Problem: After finding the result of 83/40 + 6/8, subtract 24/64 from it. What do you get?
InternLM-Math Base 20B:
Reasoning: 2.075 + 0.75 = <<2.075+0.75=2.825>>2.825 and 24/64 = <<24/64=0.375>>0.375. 2.825 - 0.375 = <<2.825-0.375=2.45>>2.45. ### Answer: 2.45
Expected answer: 49/20
Correct? Yes
Problem: After adjusting our original calculation, we now have 83/18 instead of 83/40. So now, what is the result of 83/18 + 6/8?
InternLM-Math Base 20B:
Reasoning: 83/18 = <<83/18=4.61111111111111>>4.61111111111111 and 6/8 = <<6/8=0.75>>0.75. 4.61111111111111 + 0.75 = <<4.61111111111111+0.75=5.36111111111111>>5.36111111111111. ### Answer: 5.36111111111111
Expected answer: 193/36
Correct? No
Problem: Find the result of the addition of the fractions 37/69 and 67/61.
InternLM-Math Base 20B:
Reasoning: 37/69 + 67/61 = <<37/69+67/61=104/130>>104/130 ### Answer: 104/130
Expected answer: 6880/4209
Correct? No
Problem: What is the sum of 89/84 and 75/34?
InternLM-Math Base 20B:
Reasoning: 89/84 = <<89/84=1.05>>1.05 and 75/34 = <<75/34=2.2>>2.2. 1.05+2.2 = <<1.05+2.2=3.25>>3.25 ### Answer: 3.25
Expected answer: 4663/1428
Correct? No
Problem: What is the result when you add 51/78 and 44/83?
InternLM-Math Base 20B:
Reasoning: 51/78 = <<51/78=0.65>>0.65 and 44/83 = <<44/83=0.53>>0.53. 0.65+0.53 = <<0.65+0.53=1.18>>1.18. ### Answer: 1.18
Expected answer: 2555/2158
Correct? No
Problem: Calculate the sum of the fractions 99/85 and 77/55.
InternLM-Math Base 20B:
Reasoning: 99/85 + 77/55 = <<99/85+77/55=9/5+7/5=16/5>>16/5. ### Answer: 16/5
Expected answer: 218/85
Correct? No
Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 97/56 - 31/52 = <<97/56-31/52=97*52/56*52-31*56/52*56=5014/2864-1716/2864=3308/2864=1169/952>>1169/952. ### Answer: 1169/952
Expected answer: 827/728
Correct? No
Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).
InternLM-Math Base 20B:
Reasoning: (78 / 74) + (72 / 51) = <<(78/74)+(72/51)=1.04255319148936>>1.04255319148936 ### Answer: 1.04255319148936
Expected answer: 1551/629
Correct? No
Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.
InternLM-Math Base 20B:
Reasoning: (33 / 23) - (12 / 75) = <<(33/23)-(12/75)=(33*75)/(23*75)-(12*23)/(75*23)=(2475-2880)/1625=(1625-2880)/1625=(-1255)/1625>>(-1255)/1625 ### Answer: (-1255)/1625
Expected answer: 733/575
Correct? No
Problem: What is the result of the operation 85/42 - 98/99? Simplify your answer to the nearest hundredth.
InternLM-Math Base 20B:
Reasoning: 85/42 - 98/99 = <<85/42-98/99=1.5-0.98=0.52>>0.52 ### Answer: 0.52
Expected answer: 1433/1386
Correct? No
Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 19/30 = <<19/30=0.6333333333333333>>0.6333333333333333 and 75/77 = <<75/77=0.974025974025974>>0.974025974025974. The sum of 19/30 and 75/77 is 0.6333333333333333 + 0.974025974025974 = <<0.6333333333333333+0.974025974025974=1.607360736073607>>1.607360736073607. ### Answer: 1.607360736073607
Expected answer: 3713/2310
Correct? No
Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.
InternLM-Math Base 20B:
Reasoning: 57/66 = <<57/66=0.8636363636363636>>0.8636363636363636 and 39/64 = <<39/64=0.609375>>0.609375. The sum of 57/66 and 39/64 is 0.8636363636363636+0.609375 = <<0.8636363636363636+0.609375=1.4729999999999998>>1.4729999999999998. ### Answer: 1.4729999999999998
Expected answer: 1037/704
Correct? No
Problem: What is the sum of 80/13 and 2/48?
InternLM-Math Base 20B:
Reasoning: 80/13 = <<80/13=6 1/13>>6 1/13 and 2/48 = <<2/48=1/24>>1/24. 6 1/13 + 1/24 = <<6 1/13+1/24=6 17/312>>6 17/312. ### Answer: 6 17/312
Expected answer: 1933/312
Correct? No
Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).
InternLM-Math Base 20B:
Reasoning: 55/30 = <<55/30=1.8333...>>1.8333... and 1/72 = <<1/72=0.01388...>>0.01388... . ((55 / 30) - (1 / 72)) = 1.8333... - 0.01388... = <<1.8333...-0.01388...=1.8194...>>1.8194... . ### Answer: 1.8194...
Expected answer: 131/72
Correct? No
Problem: Calculate the sum of the fractions 69/21 and 71/86.
InternLM-Math Base 20B:
Reasoning: 69/21 = <<69/21=3 3/21>>3 3/21 and 71/86 = <<71/86=5/43>>5/43. 3 3/21 + 5/43 = <<3 3/21+5/43=3 38/903>>3 38/903. ### Answer: 3 38/903
Expected answer: 2475/602
Correct? No
Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.
InternLM-Math Base 20B:
Reasoning: 24/60 = 2/5 and 42/45 = 2/5. 2/5 + 2/5 = 4/5. ### Answer: 4/5
Expected answer: 4/3
Correct? No
Problem: What is the sum of 64/76 and 35/33?
InternLM-Math Base 20B:
Reasoning: 64/76 = <<64/76=0.84210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789
Expected answer: 1193/627
Correct? No
Problem: What is the sum of 47/16 and 96/10? Please, express your answer as a mixed fraction if necessary.
InternLM-Math Base 20B:
Reasoning: 47/16 + 96/10 = <<47/16+96/10=47/16+9.6=47/16+9 2/16=56 2/16=3 7/8>>3 7/8 ### Answer: 3 7/8
Expected answer: 1003/80
Correct? No
Problem: What is the result of the operation (58 / 2) + (31 / 32)?
InternLM-Math Base 20B:
Reasoning: (58 / 2) + (31 / 32) = <<(58/2)+31/32=29+31/32=29+0.96875=29.96875>>29.96875 ### Answer: 29.96875
Expected answer: 959/32
Correct? Yes
Problem: After you have calculated the result of the operation (58 / 2) + (31 / 32), subtract 90 / 58 from your answer. What is the final result?
InternLM-Math Base 20B:
Reasoning: 29.96875 - 90 / 58 = <<29.96875-90/58=29.96875-1.551724=28.41702>>28.41702 ### Answer: 28.41702
Expected answer: 26371/928
Correct? No
Problem: In the problem of adding (58 / 2) + (31 / 32), what would the result be if we originally had (58 / 2) + (10 / 32) instead? Now, compute the value.
InternLM-Math Base 20B:
Reasoning: (58 / 2) + (10 / 32) = <<(58/2)+10/32=29+10/32=29+0.3125=29.3125>>29.3125 ### Answer: 29.3125
Expected answer: 469/16
Correct? Yes
Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?
InternLM-Math Base 20B:
Reasoning: 26/90 = <<26/90=13/45>>13/45 and 50/26 = <<50/26=25/13>>25/13. The sum of 13/45 and 25/13 is 13/45+25/13 = <<13/45+25/13=38/45>>38/45. ### Answer: 38/45
Expected answer: 1294/585
Correct? No
Problem: Calculate the sum of 80/98 and 92/82.
InternLM-Math Base 20B:
Reasoning: 80/98 = <<80/98=0.8162>>0.8162 and 92/82 = <<92/82=1.1219512195>>1.1219512195. The sum of 80/98 and 92/82 is 0.8162+1.1219512195 = <<0.8162+1.1219512195=1.9381512195>>1.9381512195. ### Answer: 1.9381512195
Expected answer: 3894/2009
Correct? No
Problem: Calculate the sum of 89/44 and 69/5.
InternLM-Math Base 20B:
Reasoning: 89/44 = <<89/44=2>>2 and 69/5 = <<69/5=13.8>>13.8. 2+13.8 = <<2+13.8=15.8>>15.8. ### Answer: 15.8
Expected answer: 3481/220
Correct? No
Problem: Calculate the following expression: 79/32 - 52/55.
InternLM-Math Base 20B:
Reasoning: 79/32 - 52/55 = <<79/32-52/55=2.59375>>2.59375 ### Answer: 2.59375
Expected answer: 2681/1760
Correct? No
Problem: If Wooden Treasures, a furniture workshop, cuts a log into pieces. Each piece is 45/2 feet long. If they sell a piece of wood that is 18/90 feet shorter than the usual length, how long is the piece they sold?
InternLM-Math Base 20B:
Reasoning: The usual length of a piece of wood is 45/2 = <<45/2=22.5>>22.5 feet. The piece of wood they sold is 18/90 feet shorter than the usual length. So, the length of the piece of wood they sold is 22.5 - 18/90 = <<22.5-18/90=22.3222.32 feet.>>22.32 feet. ### Answer: 22.32 feet
Expected answer: 223/10
Correct? No
Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?
InternLM-Math Base 20B:
Reasoning: 99/92 + 15/74 = <<99/92+15/74=99*74/92*74+15*92/74*92=7293/7168+120/6688=7293+120/7168=7403/7168>>7403/7168 ### Answer: 7403/7168
Expected answer: 4353/3404
Correct? No
Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.
InternLM-Math Base 20B:
Reasoning: 54/1 = <<54/1=54>>54 and 62/30 = <<62/30=2.0666666666666666>>2.0666666666666666. 54+2.0666666666666666 = <<54+2.0666666666666666=56.066666666666666>>56.066666666666666. ### Answer: 56.066666666666666
Expected answer: 841/15
Correct? No
Problem: What value do you get by adding 85/29 and 47/7?
InternLM-Math Base 20B:
Reasoning: 85/29 = <<85/29=2.931034482758621>>2.931034482758621 and 47/7 = <<47/7=6.714285714285714>>6.714285714285714. Adding 85/29 and 47/7 gives 2.931034482758621+6.714285714285714 = <<2.931034482758621+6.714285714285714=9.645289737244433>>9.645289737244433. ### Answer: 9.645289737244433
Expected answer: 1958/203
Correct? No