Common Core Standard 8.EE.C.7
This standard covers the following:
Solve linear equations in one variable.
Problem: Solve the following equation for the variable u: 122 = 92 + 28 * u
InternLM-Math Base 7B:
Reasoning: 122 = 9u+28 122-28 = 9u+28-28 94 = 9u 94/9 = 9u/9 <<94/9=10.4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
InternLM-Math Base 7B:
Reasoning: 42 = <<35i-34=42>>35i-34 35i = 42+34 = 76 i = 76/35 = <<76/35=2.2>>2.2 ### Answer: 2.2
Expected answer: 76/35
Correct? No
Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r
InternLM-Math Base 7B:
Reasoning: 6 * r = 6r 94 = 41 + 6r 53 = 6r 53/6 = r <<53/6=8.5>>8.5 = r ### Answer: 8.5
Expected answer: 53/6
Correct? No
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
InternLM-Math Base 7B:
Reasoning: 19i = 64 i = 64/19 ### Answer: 3.42
Expected answer: 64/19
Correct? No
Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)
InternLM-Math Base 7B:
Reasoning: 30q+54 = 134 30q = 134-54 30q = 80 q = 80/30 q = 8/3 q = 2 2/3 ### Answer: 2 2/3
Expected answer: 8/3
Correct? Yes
Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)
InternLM-Math Base 7B:
Reasoning: 94 = 27 + y y = 94 - 27 y = <<94-27=67>>67 ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)
InternLM-Math Base 7B:
Reasoning: 9 = <<23 * h=9>>9 9/9 = <<23 * h=9>>9/9 1 = <<23 * h=9>>9/9 h = <<23 * h=9>>9/9/23 h = 1/9/23 h = 1/9*1/23 h = 1/9*23 h = 23/9 ### Answer: 23/9
Expected answer: 79/23
Correct? No
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
InternLM-Math Base 7B:
Reasoning: 92 = 33 * t + 26 92 – 26 = 33 * t 66 = 33 * t 66/33 = 33/33 * t 2 = t ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation to find the value of e: 123 = ((15 * e) + 29).
InternLM-Math Base 7B:
Reasoning: 123 = 15e + 29 123 - 29 = 15e 94 = 15e 94/15 = e ### Answer: 6.26666666666666
Expected answer: 94/15
Correct? No
Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)
InternLM-Math Base 7B:
Reasoning: 16 = ((75 * k) - 80) 16 = 75k - 80 16 + 80 = 75k 96 = 75k 96/75 = 75k/75 1 1/3 = k ### Answer: 1 1/3
Expected answer: 32/25
Correct? No
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
InternLM-Math Base 7B:
Reasoning: 5 * q = 131 - 89 5 * q = 42 5 * q / 5 = 42 / 5 q = 8.4 ### Answer: 8.4
Expected answer: 42/5
Correct? Yes
Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)
InternLM-Math Base 7B:
Reasoning: 147 = 38p+56 147 – 56 = 38p 91 = 38p 91/38 = p 2 1/2 = p ### Answer: 2 1/2
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
InternLM-Math Base 7B:
Reasoning: 42 * j = 76 - 23 42 * j = 53 j = 53/42 j = <<53/42=1.25>>1.25 ### Answer: 1.25
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
InternLM-Math Base 7B:
Reasoning: 25 * l = 138 - 43 = 95. l = 95/25 = 3.8 ### Answer: 3.8
Expected answer: 19/5
Correct? Yes
Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)
InternLM-Math Base 7B:
Reasoning: 24w = 80-35 = <<80-35=45>>45 w = 45/24 = <<45/24=1.875>>1.875 ### Answer: 1.875
Expected answer: 15/8
Correct? Yes
Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))
InternLM-Math Base 7B:
Reasoning: 77 = 33 + (14 * x) 44 = (14 * x) x = 44/14 x = 3 ### Answer: 3
Expected answer: 22/7
Correct? No
Problem: Solve the following linear equation to find the value of y: 110 = 12 + 88 * y
InternLM-Math Base 7B:
Reasoning: 110 = 12 + 88 * y 88 * y = 110 - 12 88 * y = 98 y = 98/88 y = 1 ### Answer: 1
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
InternLM-Math Base 7B:
Reasoning: 179 = 82 * s + 80 179 - 80 = 99 = 82 * s 99/82 = 1.2 = s ### Answer: 1.2
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
InternLM-Math Base 7B:
Reasoning: 129 = 26 * m + 66 129-66 = 26 * m 63 = 26 * m 63/26 = m m = <<63/26=2.461538>>2.461538 ### Answer: 2.461538
Expected answer: 63/26
Correct? No
Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)
InternLM-Math Base 7B:
Reasoning: 82 = <<82=82>>82 82 = <<27*2=54>>54 <<54-17=37>>37 q = 37/27 ### Answer: 37/27
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
InternLM-Math Base 7B:
Reasoning: 22 * k = <<22k=22k>>22k 64 + 22k = 64 + <<22k=22k>>22k 64 + 22k = 86 64 = 86 - 22k 64 = 64 - 22k 0 = -22k k = 0/(-22) = <<k=0/(-22)=0/(-22)=-0.4545454545454546>>-0.4545454545454546 ### Answer: -0.4545454545454546
Expected answer: 7/2
Correct? No
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
InternLM-Math Base 7B:
Reasoning: 45v = 175 - 91 45v = 84 v = 84/45 v = 2 ### Answer: 2
Expected answer: 28/15
Correct? No
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
InternLM-Math Base 7B:
Reasoning: 50 = ((63 * k) - 18) 50+18 = 63k 68 = 63k 68/63 = k 1.07692308 = k ### Answer: 1.07692308
Expected answer: 68/63
Correct? No
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
InternLM-Math Base 7B:
Reasoning: 65 = <<8 * l-10=65>> 8l-10=65 8l-10=65 8l-10+10=65+10 8l=75 8l/8=75/8 l=9.375 ### Answer: 9.375
Expected answer: 75/8
Correct? Yes
Problem: Solve the following equation: 5 = ((10 * u) - 34)
InternLM-Math Base 7B:
Reasoning: 5 = 5 5 = <<5=5>>5 5 = ((10 * 5) - 34) 5 = <<5=50-34>>5=16 5 = <<5=16>>5=16 ### Answer: 16
Expected answer: 39/10
Correct? No
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
InternLM-Math Base 7B:
Reasoning: 91 = 9 * a + 61 91-61 = 9 * a 30 = 9 * a 30/9 = 9 * a/9 3.33 = a ### Answer: 3.33
Expected answer: 10/3
Correct? No
Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61
InternLM-Math Base 7B:
Reasoning: 157 = 3 * 51 + 61 157 = 3 * 51 + 61 157 = 153 + 61 4 = 61 4 = 4 ### Answer: 4
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
InternLM-Math Base 7B:
Reasoning: 71 = <<24q+14=71>>24q+14 24q = 71 – 14 24q = 57 q = 57/24 q = <<57/24=2.375>>2.375 ### Answer: 2.375
Expected answer: 19/8
Correct? Yes
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
InternLM-Math Base 7B:
Reasoning: 163 = 96 + 14 * i 163-96 = 14 * i 67 = 14 * i 67/14 = i i = <<67/14=4.78571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428
Expected answer: 67/14
Correct? Yes
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
InternLM-Math Base 7B:
Reasoning: 70e = 59 + 23 70e = 82 e = 82/70 e = <<82/70=1.14285714285714>>1.142857
Expected answer: 41/35
Correct? Yes
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
InternLM-Math Base 7B:
Reasoning: 147 = 36 * o + 74 147-74 = 36 * o 73 = 36 * o 73/36 = o 2.0625 = o ### Answer: 2.0625
Expected answer: 73/36
Correct? No
Problem: Solve the following equation: 71 = 93 - (13 * d)
InternLM-Math Base 7B:
Reasoning: 13 * d = 93 - 71 = 22 d = 22/13 = <<22/13=1.6923>>1.6923 ### Answer: 1.6923
Expected answer: 22/13
Correct? No
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
InternLM-Math Base 7B:
Reasoning: 118 = 64 + 6 * n 6 * n = 118 - 64 6 * n = 54 n = 54/6 6 n = 9 ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)
InternLM-Math Base 7B:
Reasoning: 61 = <<(5 * d) - 7= 5d-7>>5d-7 61+7 = 5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d+7-7=5d>>5d+7-7=5d+0=5d <<5d-7=5d-7+7=5d
Expected answer: 68/5
Correct? No
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
InternLM-Math Base 7B:
Reasoning: 79 = <<8z-18=8z-18>> 8z-18+18=79+18 8z=97 8z/8=97/8 z=<<97/8=12.125>>12.125 ### Answer: 12.125
Expected answer: 97/8
Correct? Yes
Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)
InternLM-Math Base 7B:
Reasoning: 129 = <<2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+63=2z+
Expected answer: 33
Correct? No
Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))
InternLM-Math Base 7B:
Reasoning: 127 = 29 + 32e ⇒ 98 = 32e ⇒ 3 = e ### Answer: 3
Expected answer: 49/16
Correct? No
Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)
InternLM-Math Base 7B:
Reasoning: 30 = <<(50 * x) - 35= 15x-35>>15x-35 30 + 35 = 15x 65 = 15x 65/15 = x x = <<65/15=4.3>>4.3 ### Answer: 4.3
Expected answer: 13/10
Correct? No
Problem: Solve the following equation for x: 66 = 9 + 10 * x
InternLM-Math Base 7B:
Reasoning: 10 * x = 66 - 9 = 57. x = 57/10 = <<57/10=5.7>>5.7. ### Answer: 5.7
Expected answer: 57/10
Correct? Yes
Problem: Solve the following algebraic equation for the unknown variable a: 103 = ((38 * a) + 51)
InternLM-Math Base 7B:
Reasoning: 103 = 38a + 51 103 - 51 = 38a 52 = 38a 52/38 = a ### Answer: 52/38
Expected answer: 26/19
Correct? Yes
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
InternLM-Math Base 7B:
Reasoning: 105-8 = 28 * f f = <<105-8=28*?>>?
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
InternLM-Math Base 7B:
Reasoning: 12 = 63 - 50 * u 12 + 50 * u = 63 u = 63/50 ### Answer: 63/50
Expected answer: 51/50
Correct? No
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
InternLM-Math Base 7B:
Reasoning: 60 = 42 + 10b 18 = 10b b = 1.8 ### Answer: 1.8
Expected answer: 9/5
Correct? Yes
Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)
InternLM-Math Base 7B:
Reasoning: 25 * j = <<25 * j=25j>>25j 25j + 13 = <<25j+13=25j+13>>25j+13 84 = 25j+13 25j+13-13 = 25j+13-13 25j+13-13 = 25j+13-13 25j+13-13-25j = 25j+13-13-25j 25j+13-13-25j-13 = 25j+13-13-25j-13 25j+13-13-25j-13-25j = 25j+13-13-25j-13-25j 25j+13-13-25j-13-25j-25j = 25j+13-13-25j-13-25j-25j 25j+13-13-25j-13-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j = 25j+13-13-25j-13-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j-25j 25j+13
Expected answer: 71/25
Correct? No
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
InternLM-Math Base 7B:
Reasoning: 5s = 62. s = 12.5 ### Answer: 12.5
Expected answer: 62/5
Correct? No
Problem: Solve for g in the following equation: 65 = (22 + (30 * g))
InternLM-Math Base 7B:
Reasoning: 30*g = 30g 65 = 22 + 30g 65-22 = 30g 43 = 30g 43/30 = g ### Answer: 43/30
Expected answer: 43/30
Correct? Yes
Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)
InternLM-Math Base 7B:
Reasoning: 96 = <<96/10=9.6>>9.6 (9.6-9.6) = 0 (9.6-0) = 9.6 (9.6-9.6) = 0 (9.6-0) = 9.6 f = 9.6
Expected answer: 86/29
Correct? No
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
InternLM-Math Base 7B:
Reasoning: 19 + (14 * q) = 19 + 14q 80 = 19 + 14q 80 – 19 = 19 – 19 + 14q 61 = 14q 61/14 = 14/14q 4.3 = q ### Answer: 4.3
Expected answer: 61/14
Correct? No
Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m
InternLM-Math Base 7B:
Reasoning: 95 + 46 * m = 95 + 46m 145 = 95 + 46m 145-95 = 95-95 + 46m 50 = 46m 50/46 = 46m/46 1.086957 = m ### Answer: 1.086957
Expected answer: 25/23
Correct? No
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
InternLM-Math Base 7B:
Reasoning: 6 * i = 68 - 13 = 55 i = 55/6 = <<55/6=9 1/6>>9 1/6 ### Answer: 9 1/6
Expected answer: 55/6
Correct? Yes
Problem: Solve the following equation for the value of h: 25 = ((74 * h) - 61)
InternLM-Math Base 7B:
Reasoning: 25 = 74h - 61 25+61 = 74h 86 = 74h 86/74 = h 1.1 = h ### Answer: 1.1
Expected answer: 43/37
Correct? No
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
InternLM-Math Base 7B:
Reasoning: 51 = <<(6 * q) - 30=6q-30>>6q-30 51+30 = 6q (51+30)/6 = q (<<51+30=81>>81)/6 = q 13.5 = q ### Answer: 13.5
Expected answer: 27/2
Correct? Yes
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
InternLM-Math Base 7B:
Reasoning: 36r = 81-38 = 43 r = 43/36 = <<43/36=1 7/36>>1 7/36 ### Answer: 1 7/36
Expected answer: 43/36
Correct? Yes
Problem: Solve the following equation: 90 = (23 + (56 * a))
InternLM-Math Base 7B:
Reasoning: 90 = 23 + (56 * a) 90 - 23 = 23 - 23 + (56 * a) 67 = 56 * a 67/56 = 56/56 * a 1.2 = a ### Answer: 1.2
Expected answer: 67/56
Correct? No
Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h
InternLM-Math Base 7B:
Reasoning: 81 = 13 + 30 * h 81-13 = 30 * h 68 = 30 * h 68/30 = h ### Answer: 2.2666666666666666
Expected answer: 34/15
Correct? Yes
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
InternLM-Math Base 7B:
Reasoning: 160 = <<(62 * 1) + 69>>69 160 = <<(62 * 2) + 69>>69+<<62>> 160 = <<(62 * 3) + 69>>69+<<2*62>> 160 = <<(62 * 3) + 69>>69+<<3*21>> 160 = <<(62 * 3) + 69>>69+<<3*20+3>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1>> 160 = <<(62 * 3) + 69>>69+<<3*20+3*1*1*1*1*1*1*1*1*1*1
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
InternLM-Math Base 7B:
Reasoning: 100 = 69 + 28 * q 100 - 69 = 28 * q 31 = 28 * q 31/28 = q 1.1014285714 = q ### Answer: 1.1014285714
Expected answer: 31/28
Correct? No
Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)
InternLM-Math Base 7B:
Reasoning: 98 * w = 192 - 94 = 98 w = 1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y
InternLM-Math Base 7B:
Reasoning: 40 = 93 - 33 * y 40+33y = 93 33y = 53 y = 53/33 ### Answer: 53/33
Expected answer: 53/33
Correct? Yes
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
InternLM-Math Base 7B:
Reasoning: 48u - 20 = <<48u-20=28>>28 48u = 28 + 20 = 48 u = 1 ### Answer: 1
Expected answer: 47/24
Correct? No
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
InternLM-Math Base 7B:
Reasoning: 13 = ((86 * f) - 76) 13 = 86f - 76 13 + 76 = 86f 13 + 76 = 86f 89 = 86f 89/86 = f 1.04651162790698 = f ### Answer: 1.04651162790698
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
InternLM-Math Base 7B:
Reasoning: 122 = 36 + (56 * c) 122 – 36 = 56 * c 86 = 56 * c 86/56 = c 86/56 = <<86/56=1.5>>1.5 ### Answer: 1.5
Expected answer: 43/28
Correct? No
Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q
InternLM-Math Base 7B:
Reasoning: 99 + 81 * q = 186 81 * q = 186 - 99 q = 87/81 q = 3/9 q = 1/3 ### Answer: 1/3
Expected answer: 29/27
Correct? No
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
InternLM-Math Base 7B:
Reasoning: 42u = 120-77 42u = 43 u = 43/42 ### Answer: 43/42
Expected answer: 43/42
Correct? Yes
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
InternLM-Math Base 7B:
Reasoning: 103 = 5*2 + 6*j 103 = 10 + 6*j 93 = 6*j 93/6 = j ### Answer: 15.5
Expected answer: 17/2
Correct? No
Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))
InternLM-Math Base 7B:
Reasoning: 56 = 82 - 4n - 4n = 82 - 56 - 4n = 26 - 4n/4 = 26/4 - 4n/4 = 6.5 - 1n/1 = 6.5/1 - 1n = 6.5 n = 6.5 ### Answer: 6.5
Expected answer: 13/2
Correct? Yes
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
InternLM-Math Base 7B:
Reasoning: 77 = 14 + 60 * m 77-14 = 60 * m 63 = 60 * m 63/60 = m ### Answer: 1.05
Expected answer: 21/20
Correct? Yes
Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e
InternLM-Math Base 7B:
Reasoning: 31 = 17 + 14 e = 14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Find the value of x that solves the following equation: 2 = 81 - (15 * x)
InternLM-Math Base 7B:
Reasoning: 2 = 81 - (15 * x) 2 = 81 - 15x 2 + 15x = 81 15x = 79 x = 5 ### Answer: 5
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
InternLM-Math Base 7B:
Reasoning: 177 = 88 + 6e 6e = 177-88 = 89 e = 89/6 ### Answer: 89/6
Expected answer: 89/6
Correct? Yes
Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15
InternLM-Math Base 7B:
Reasoning: 3*r + 15 = 95 3*r = 95-15 = 80 r = 80/3 ### Answer: 80/3
Expected answer: 80/3
Correct? Yes
Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))
InternLM-Math Base 7B:
Reasoning: 70 + (31 * v) = 70 + 31v 154 = 70 + 31v 154 - 70 = 70 + 31v - 70 84 = 31v 84/31 = 31v/31 2.7 = v ### Answer: 2.7
Expected answer: 84/31
Correct? No
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
InternLM-Math Base 7B:
Reasoning: 179 = 70r + 87 179 - 87 = 70r 92 = 70r 92/70 = r ### Answer: 1.3
Expected answer: 46/35
Correct? No
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
InternLM-Math Base 7B:
Reasoning: 93 = <<(19r) + 2= 19r+2>> 19r + 2 19r = 93 - 2 19r = 91 r = 91/19 r = <<91/19=4.7>>4.7 ### Answer: 4.7
Expected answer: 91/19
Correct? No
Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))
InternLM-Math Base 7B:
Reasoning: 20 = 67 - 37z - 20 = 67 - 37z - - 37z = 67 - 20 - - 37z = 47 - 37z = 47 - 37z/37 = 47/37 - z = 1.27 ### Answer: 1.27
Expected answer: 47/37
Correct? No
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
InternLM-Math Base 7B:
Reasoning: 25m + 15 = 65 25m = 50 m = 2 ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)
InternLM-Math Base 7B:
79 = ((6 * g) + 19) 79 = 6g + 19 79 - 19 = 6g 60 = 6g 10 = g ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)
InternLM-Math Base 7B:
| |assistant| Reasoning: 30 = <<(56*l-45) = 56l-45>>56l-45 30 + 45 = 56l 75/56 = 56l/56 75/56 = 1l l = <<75/56=1.3178>>1.3178 ### Answer: 1.3178
Expected answer: 75/56
Correct? No
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
InternLM-Math Base 7B:
Reasoning: 57 = 11j + 4 11j = 57 - 4 11j = 53 j = 53/11 ### Answer: 53/11
Expected answer: 53/11
Correct? Yes
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
InternLM-Math Base 7B:
Reasoning: 36 = 34 * f - 56 36 + 56 = 34 * f 92 = 34 * f 92/34 = f 2.74 = f ### Answer: 2.74
Expected answer: 46/17
Correct? No
Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43
InternLM-Math Base 7B:
Reasoning: 56 = (70 * u) - 43 56+43 = (70 * u) 99 = (70 * u) 99/70 = u 1.375 = u ### Answer: 1.375
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
InternLM-Math Base 7B:
Reasoning: 9*x = 46, so x = <<9x=46, so x=46/9.>>46/9 ### Answer: 46/9
Expected answer: 46/9
Correct? Yes
Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)
InternLM-Math Base 7B:
Reasoning: 16*8= <<16*8=128>>128 16*9= <<16*9=144>>144 16*10= <<16*10=160>>160 16*11= <<16*11=176>>176 16*12= <<16*12=192>>192 16*13= <<16*13=208>>208 16*14= <<16*14=224>>224 16*15= <<16*15=240>>240 16*16= <<16*16=256>>256 16*17= <<16*17=272>>272 16*18= <<16*18=288>>288 16*19= <<16*19=304>>304 16*20= <<16*20=320>>320 16*21= <<16*21=336>>336 16*22= <<16*22=352>>352 16*23= <<16*23=368>>368 16*24= <<16*24=384>>384 16*25= <<16*25=400>>400 16*26= <<16*26=416>>416 16*27= <<16*27=432>>432 16*28= <<16*28=448>>448 16*29= <<16*29=464>>464 16*30= <<16*30=480>>480 16*31= <<16*31=496>>496 16*32= <<16*32=512>>512 16*33= <<16*33=528>>528 16*34= <<16*34=544>>544 16*35= <<16*35=560>>560 16*36= <<16*36=576>>576 16*37= <<16*37=592>>592 16*38= <<16*38=608>>608 16*39= <<16*39=624>>624 16*40= <<16*40=640>>640 16*41= <<16*41=656>>656 16*42= <<16*42=672>>672 16*43= <<16*43=688>>688 16*44= <<16*44=704>>704 16*45= <<16*45=720>>720 16*46= <<16*46=736>>736 16*47= <<16*47=752>>752 16*48= <<16*48=768>>768 16*49= <<16*49=784>>784 16*50= <<16*50=800>>800 16*51= <<16*51=816>>816 16*52= <<16*52=832>>832 16*53= <<16*53=848>>848 16*54= <<16*54=864>>864 16*55= <<16*55=880>>880 16*56= <<16*56=896>>896 16*57= <<16*57=912>>912 16*58= <<16*58=928>>928 16*59= <<16*59=944>>944 16*60= <<16*60=960>>960 16*61= <<16*61=976>>976 16*62= <<16*62=992>>992 16*63= <<16*63=1008>>1008 16*64= <<16*64=1024>>1024 16*65= <<16*65=1040>>1040 16*66= <<16*66=1056>>1056 16*67= <<16*67=1072>>1072 16*68= <<16*68=1088>>1088 16*69= <<16*69=1104>>1104 16*70= <<16*70=1120>>1120 16*71= <<16*71=1136>>1136 16*72= <<16*72=1152>>1152 16*73= <<16*73=1168>>1168 16*74= <<16*74=1184>>1184 16*75= <<16*75=1200>>1200 16*76= <<16*76=1216>>1216 16*77= <<16*77=1232>>1232 16*78= <<16*78=1248>>1248 16*79= <<16*79=1264>>1264 16*80= <<16*80=1280>>1280 16*81= <<16*81=1296
Expected answer: 17/16
Correct? No
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
InternLM-Math Base 7B:
Reasoning: 39x = 111 - 54 39x = 57 x = 57/39 x = 1.5 ### Answer: 1.5
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
InternLM-Math Base 7B:
Reasoning: 26 * 3 = 78. 26 * 2 = 52. 26 * 1 = 26. 26 * 0 = 0. 0 + 68 = 68. 1 + 68 = 69. 2 + 68 = 70. 3 + 68 = 71. 4 + 68 = 72. 5 + 68 = 73. 6 + 68 = 74. 7 + 68 = 75. 8 + 68 = 76. 9 + 68 = 77. 10 + 68 = 78. 11 + 68 = 79. 12 + 68 = 80. 13 + 68 = 81. 14 + 68 = 82. 15 + 68 = 83. 16 + 68 = 84. 17 + 68 = 85. 18 + 68 = 86. 19 + 68 = 87. 20 + 68 = 88. 21 + 68 = 89. 22 + 68 = 90. 23 + 68 = 91. 24 + 68 = 92. 25 + 68 = 93. 26 + 68 = 94. 27 + 68 = 95. 28 + 68 = 96. 29 + 68 = 97. 30 + 68 = 98. 31 + 68 = 99. 32 + 68 = 100. 33 + 68 = 101. 34 + 68 = 102. 35 + 68 = 103. 36 + 68 = 104. 37 + 68 = 105. 38 + 68 = 106. 39 + 68 = 107. 40 + 68 = 108. 41 + 68 = 109. 42 + 68 = 110. 43 + 68 = 111. 44 + 68 = 112. 45 + 68 = 113. 46 + 68 = 114. 47 + 68 = 115. 48 + 68 = 116. 49 + 68 = 117. 50 + 68 = 118. 51 + 68 = 119. 52 + 68 = 120. 53 + 68 = 121. 54 + 68 = 122. 55 + 68 = 123. 56 + 68 = 124. 57 + 68 = 125. 58 + 68 = 126. 59 + 68 = 127. 60 + 68 = 128. 61 + 68 = 129. 62 + 68 = 130. 63 + 68 = 131. 64 + 68 = 132. 65 + 68 = 133. 66 + 68 = 134. 67 + 68 = 135. 68 + 68 = 136. 69 + 68 = 137. 70 + 68 = 138. 71 + 68 = 139. 72 + 68 = 140. 73 + 68 = 141. 74 + 68 = 142. 75 + 68 = 143. 76 + 68 = 144. 77 + 68 = 145. 78 + 68 = 146. 79 + 68 = 147. 80 + 68 = 148. 81 + 68 = 149. 82 + 68 = 150. 83 + 68 = 151. 84 + 68 = 152. 85 + 68 = 153. 86 + 68 = 154. 87 + 68 = 155. 88 + 68 = 156. 89 + 68 = 157. 90 + 68 = 158. 91 + 68 = 159. 92 + 68 = 160. 93 + 68 = 161. 94 + 68 = 162. 95 + 68 = 163. 96 + 68 = 164. 97 + 68 = 165. 98 + 68 = 166. 99 + 68 = 167. 100 + 68 = 168. 101 + 68 = 169. 102 + 68 = 170. 103 + 68 = 171. 104 + 68 = 172. 105 + 68 = 173. 106 + 68 =
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
InternLM-Math Base 7B:
Reasoning: 7 = ((12 * p) - 17) 7 + 17 = ((12 * p) - 17) + 17 24 = 12p 24/12 = 12p/12 2 = p ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?
InternLM-Math Base 7B:
Reasoning: 163 = 93 + 55 * b b = <<(163-93)/55>>2 b = 2 ### Answer: 2
Expected answer: 14/11
Correct? No
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
InternLM-Math Base 7B:
Reasoning: 62 = (u - 26) 62 = u - 26 26 = u - 62 28 = u ### Answer: 28
Expected answer: 88
Correct? No
Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)
InternLM-Math Base 7B:
Reasoning: 179 = 63a+93 179-93 = 63a+93-93 86 = 63a 86/63 = 63a/63 1.38461538461538 = a ### Answer: 1.38461538461538
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
InternLM-Math Base 7B:
Reasoning: 27 * c = <<27 * c= 27c>>27c 27c - 11 = <<27c-11= 27c-11>>27c-11 <<27c-11= 27c-11>>27c-11 = 51 27c-11+11 = 51+11 27c = 62 c = 62/27 <<c= 62/27>>c = 2.3 ### Answer: 2.3
Expected answer: 62/27
Correct? No
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
InternLM-Math Base 7B:
Reasoning: 19 = <<(19+18)=37>>37 - 18 19 = 37 - 18 19 = <<(19-1)=18>>18 ### Answer: 18
Expected answer: 37/28
Correct? No
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
InternLM-Math Base 7B:
Reasoning: 159 = 47e + 62 159 - 62 = 47e 97 = 47e 97/47 = 2e 2e = 2 e = 1 ### Answer: 1
Expected answer: 97/47
Correct? No
Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))
InternLM-Math Base 7B:
Reasoning: 145 = 50 + 91g 145 - 50 = 50 - 50 95 = 91g <<95/91=1.04397515>>1.04397515 = g ### Answer: 1.04397515
Expected answer: 95/91
Correct? No
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
InternLM-Math Base 7B:
Reasoning: 123 = <<(44 * l) + 73= 1920+73=1993>>1993 l = <<123/1993= 0.6179>>0.6179 ### Answer: 0.6179
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
InternLM-Math Base 7B:
Reasoning: 19q + 75 = 165 19q = 165 - 75 19q = 90 q = 90/19 q = <<90/19=4.7>>4.7 ### Answer: 4.7
Expected answer: 90/19
Correct? No
Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)
InternLM-Math Base 7B:
Reasoning: 149 = <<18g+62=18g+62>>18g+62 149 – 62 = 18g+62 – 62 87 = 18g+0 <<87-0=87-0=87>>87 = 18g <<87/18=87/18=4.83333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Expected answer: 29/6
Correct? Yes
Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21
InternLM-Math Base 7B:
Reasoning: 84 = 20 * d + 21 84 - 21 = 20 * d 63 = 20 * d 63/20 = d ### Answer: 3.15
Expected answer: 63/20
Correct? Yes
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
InternLM-Math Base 7B:
Reasoning: 6 * g = 6g. 6g + 50 = 6g + 50. 6g + 50 = 61. 6g = 11. g = 11/6.
Expected answer: 11/6
Correct? Yes
Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)
InternLM-Math Base 7B:
Reasoning: 21v+76 = 126 21v = 126-76 21v = 50 v = 50/21 ### Answer: 50/21
Expected answer: 50/21
Correct? Yes
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
InternLM-Math Base 7B:
Reasoning: 74 = 91g - 24 74 + 24 = 91g 98 = 91g <<98/91=1.076923076923077>>1.076923076923077 = g ### Answer: 1.076923076923077
Expected answer: 14/13
Correct? No