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 20B:
Reasoning: 122 = 92 + 28 * u 122 = 92 + 28 * u 122 - 92 = 28 * u 30 = 28 * u 30/28 = u 5/4 = u ### Answer: 5/4
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
InternLM-Math Base 20B:
Reasoning: 42 = ((35 * i) - 34) is equivalent to 42 = 35i - 34. 42 + 34 = 35i - 34 + 34 is equivalent to 76 = 35i. 76/35 = 35i/35 is equivalent to 2 = i. ### Answer: 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 20B:
Reasoning: 94 = 41 + 6 * r 94 - 41 = 6 * r 53 = 6 * r 53/6 = r 8 5/6 = r ### Answer: 8 5/6
Expected answer: 53/6
Correct? Yes
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
InternLM-Math Base 20B:
Reasoning: 158 = ((19 * i) + 94) => 158 - 94 = 19 * i => 64 = 19 * i => 64/19 = i => 3 1/19 = i ### Answer: 3 1/19
Expected answer: 64/19
Correct? No
Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)
InternLM-Math Base 20B:
Reasoning: 134 = ((30 * q) + 54) => 134 - 54 = ((30 * q) + 54) - 54 => 80 = 30 * q => 80/30 = 30 * q / 30 => 8/3 = q ### Answer: 8/3
Expected answer: 8/3
Correct? Yes
Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)
InternLM-Math Base 20B:
Reasoning: 94 = (27 + y) 94 - 27 = (27 + y) - 27 67 = y ### 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 20B:
Reasoning: 9 = ((23 * h) - 70) 9 + 70 = ((23 * h) - 70) + 70 79 = 23 * h 79/23 = 23 * h / 23 3.43 = h ### Answer: 3.43
Expected answer: 79/23
Correct? No
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
InternLM-Math Base 20B:
Reasoning: 92 = 33 * t + 26 92 - 26 = 33 * t + 26 - 26 66 = 33 * t 66/33 = 33 * t / 33 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 20B:
Reasoning: 123 = ((15 * e) + 29) => 123 - 29 = 15 * e => 94 = 15 * e => 94/15 = e => 6.26666666666667 = e. ### Answer: 6.26666666666667
Expected answer: 94/15
Correct? No
Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)
InternLM-Math Base 20B:
Reasoning: 16 = ((75 * k) - 80) 16 + 80 = ((75 * k) - 80) + 80 96 = 75 * k 96/75 = 75 * k / 75 1.28 = k ### Answer: 1.28
Expected answer: 32/25
Correct? Yes
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
InternLM-Math Base 20B:
Reasoning: 131 = ((5 * q) + 89) => 131 - 89 = 5 * q => 42 = 5 * q => 42/5 = q => 8.4 = q ### 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 20B:
Reasoning: 147 = ((38 * p) + 56) 147 - 56 = ((38 * p) + 56) - 56 91 = 38 * p 91/38 = 38 * p / 38 2.3947 = p ### Answer: 2.3947
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
InternLM-Math Base 20B:
Reasoning: 76 = 42 * j + 23 76 - 23 = 42 * j + 23 - 23 53 = 42 * j 53/42 = 42 * j / 42 1.27 = j ### Answer: 1.27
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
InternLM-Math Base 20B:
Reasoning: 138 = 43 + 25 * l Subtract 43 from both sides: 138 - 43 = 43 + 25 * l - 43 Simplify: 95 = 25 * l Divide both sides by 25: 95/25 = 25 * l / 25 Simplify: 3.8 = l ### 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 20B:
Reasoning: 80 = (24 * w) + 35 80 - 35 = (24 * w) + 35 - 35 45 = 24 * w 45/24 = 24 * w / 24 45/24 = 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 20B:
Reasoning: 77 = (33 + (14 * x)) 77 = 33 + 14x 77 - 33 = 14x 44 = 14x 44/14 = x 3 = x ### 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 20B:
Reasoning: 110 = 12 + 88 * y 110 - 12 = 12 - 12 + 88 * y 98 = 0 + 88 * y 98/88 = 0/88 + y 1.1 = 0 + y 1.1 = y ### Answer: 1.1
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
InternLM-Math Base 20B:
Reasoning: 179 = 82 * s + 80 179 - 80 = 82 * s + 80 - 80 99 = 82 * s 99/82 = 82 * s / 82 1.21951219512195 = s ### Answer: 1.21951219512195
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
InternLM-Math Base 20B:
Reasoning: 129 = 26 * m + 66 129 - 66 = 26 * m + 66 - 66 63 = 26 * m 63/26 = 26 * m / 26 63/26 = m ### Answer: 63/26
Expected answer: 63/26
Correct? Yes
Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)
InternLM-Math Base 20B:
Reasoning: 82 = ((27 * q) - 17) 82 + 17 = ((27 * q) - 17) + 17 99 = 27 * q 99/27 = 27 * q / 27 99/27 = q 99/27 = <<99/27=3.67>>3.67 ### Answer: 3.67
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
InternLM-Math Base 20B:
Reasoning: 141 = (64 + (22 * k)) 141 = 64 + 22k 141 - 64 = 22k 77 = 22k 77/22 = k 3.5 = k ### Answer: 3.5
Expected answer: 7/2
Correct? Yes
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
InternLM-Math Base 20B:
Reasoning: 175 = 91 + 45 * v 175 - 91 = 45 * v 84 = 45 * v 84/45 = v <<84/45=1.8>>1.8 = v ### Answer: 1.8
Expected answer: 28/15
Correct? No
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
InternLM-Math Base 20B:
Reasoning: 50 = ((63 * k) - 18) 50 + 18 = ((63 * k) - 18) + 18 68 = 63 * k 68/63 = 63 * k / 63 68/63 = k k = 68/63 ### Answer: 68/63
Expected answer: 68/63
Correct? Yes
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
InternLM-Math Base 20B:
Reasoning: 65 = ((8 * l) - 10) 65 + 10 = ((8 * l) - 10) + 10 75 = 8 * l 75/8 = 8 * l / 8 9.375 = l ### Answer: 9.375
Expected answer: 75/8
Correct? Yes
Problem: Solve the following equation: 5 = ((10 * u) - 34)
InternLM-Math Base 20B:
Reasoning: 5 = ((10 * u) - 34) => 5 = (10 * u) - 34 => 5 + 34 = (10 * u) - 34 + 34 => 39 = (10 * u) => 39/10 = (10 * u)/10 => 3.9 = u ### Answer: 3.9
Expected answer: 39/10
Correct? Yes
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
InternLM-Math Base 20B:
Reasoning: 91 = 9 * a + 61 91 - 61 = 9 * a + 61 - 61 30 = 9 * a 30/9 = 9 * a / 9 3 = a ### Answer: 3
Expected answer: 10/3
Correct? No
Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61
InternLM-Math Base 20B:
Reasoning: 157 = 53 * i + 61 157 - 61 = 53 * i + 61 - 61 96 = 53 * i 96/53 = 53 * i / 53 1.82051282051282 = i ### Answer: 1.82051282051282
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
InternLM-Math Base 20B:
Reasoning: 71 = 24q + 14 71 - 14 = 24q + 14 - 14 71 - 14 = 24q 57 = 24q 57/24 = 24q/24 23/8 = q ### Answer: 23/8
Expected answer: 19/8
Correct? No
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
InternLM-Math Base 20B:
Reasoning: 163 = 96 + 14 * i 163 - 96 = 14 * i 67 = 14 * i 67/14 = i ### Answer: 67/14
Expected answer: 67/14
Correct? Yes
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
InternLM-Math Base 20B:
Reasoning: 59 = (70 * e) - 23 59 + 23 = (70 * e) - 23 + 23 82 = 70 * e 82/70 = 70 * e / 70 1.16 = e ### Answer: 1.16
Expected answer: 41/35
Correct? No
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
InternLM-Math Base 20B:
Reasoning: 147 = 36 * o + 74 147 - 74 = 36 * o + 74 - 74 147 - 74 = 36 * o 73 = 36 * o o = 73/36 o = <<73/36=2.0277>>2.0277 ### Answer: 2.0277
Expected answer: 73/36
Correct? No
Problem: Solve the following equation: 71 = 93 - (13 * d)
InternLM-Math Base 20B:
Reasoning: 71 = 93 - (13 * d) => 71 = 93 - 13d => 71 = 93 - 13d => 71 - 93 = -13d => -22 = -13d => 22 = 13d => 22/13 = d => 22/13 = d => 1 9/13 = d => 1 9/13 = d => 1.6923076923076923076923076923077 = d => 1.6923076923076923076923076923077 = d ### Answer: 1.6923076923076923076923076923077
Expected answer: 22/13
Correct? Yes
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
InternLM-Math Base 20B:
Reasoning: 118 = 64 + 6 * n 118 - 64 = 64 - 64 + 6 * n 54 = 0 + 6 * n 54/6 = 6 * n / 6 9 = n ### 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 20B:
Reasoning: 61 = ((5 * d) - 7) => 61 = (5 * d) - 7 => 61 + 7 = (5 * d) => 68 = (5 * d) => 68/5 = d => 13.6 = d ### Answer: 13.6
Expected answer: 68/5
Correct? Yes
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
InternLM-Math Base 20B:
Reasoning: 79 = ((8 * z) - 18) => 79 + 18 = 8 * z => 97 = 8 * z => 97/8 = z => 12.125 = z ### 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 20B:
Reasoning: 129 = ((2 * z) + 63) => 129 - 63 = ((2 * z) + 63) - 63 => 129 - 63 = (2 * z) => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 =
Expected answer: 33
Correct? Yes
Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))
InternLM-Math Base 20B:
Reasoning: 127 = (29 + (32 * e)) 127 = 29 + 32e 127 - 29 = 32e 98 = 32e 98/32 = e 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 20B:
Reasoning: 30 = 50x - 35 30 + 35 = 50x - 35 + 35 65 = 50x 65/50 = 50x/50 1.3 = x ### Answer: 1.3
Expected answer: 13/10
Correct? Yes
Problem: Solve the following equation for x: 66 = 9 + 10 * x
InternLM-Math Base 20B:
Reasoning: 66 = 9 + 10 * x 66 = 9 + 10 * x 66 - 9 = 9 - 9 + 10 * x 57 = 0 + 10 * x 57 = 10 * x 57/10 = 10 * x / 10 5.7 = x x = 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 20B:
Reasoning: 103 = ((38 * a) + 51) => 103 - 51 = ((38 * a) + 51) - 51 => 52 = 38 * a => 52/38 = 38 * a / 38 => 1.368421052631579 = a ### Answer: 1.368421052631579
Expected answer: 26/19
Correct? Yes
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
InternLM-Math Base 20B:
Reasoning: 105 = 28 * f + 8 105 - 8 = 28 * f 97 = 28 * f 97/28 = f 3.5 = f ### Answer: 3.5
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
InternLM-Math Base 20B:
Reasoning: 12 = 63 - 50 * u 63 - 12 = 50 * u 51 = 50 * u 51/50 = u 1.02 = u ### Answer: 1.02
Expected answer: 51/50
Correct? Yes
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
InternLM-Math Base 20B:
Reasoning: 60 = 42 + (10 * b) => 60 - 42 = 10 * b => 18 = 10 * b => 18/10 = b => 9/5 = b ### Answer: 9/5
Expected answer: 9/5
Correct? Yes
Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)
InternLM-Math Base 20B:
Reasoning: 84 = (25 * j) + 13 84 - 13 = (25 * j) + 13 - 13 84 - 13 = 25 * j 84 - 13 = 25 * j 71 = 25 * j 71/25 = 25 * j / 25 71/25 = j 2.84 = j ### Answer: 2.84
Expected answer: 71/25
Correct? Yes
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
InternLM-Math Base 20B:
Reasoning: 153 = 91 + 5 * s 153 - 91 = 5 * s 62 = 5 * s 62/5 = s 12.4 = s ### Answer: 12.4
Expected answer: 62/5
Correct? Yes
Problem: Solve for g in the following equation: 65 = (22 + (30 * g))
InternLM-Math Base 20B:
Reasoning: 65 = (22 + (30 * g)) 65 = 22 + 30g 65 - 22 = 30g 43 = 30g 43/30 = g 1.4333333333333333 = g ### Answer: 1.4333333333333333
Expected answer: 43/30
Correct? Yes
Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)
InternLM-Math Base 20B:
Reasoning: 96 = (29 * f) + 10 96 - 10 = (29 * f) + 10 - 10 86 = 29 * f 86/29 = 29 * f / 29 2.97 = f ### Answer: 2.97
Expected answer: 86/29
Correct? No
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
InternLM-Math Base 20B:
Reasoning: 80 = (19 + (14 * q)) 80 = 19 + 14q 80 - 19 = 14q 61 = 14q 61/14 = q 4 3/14 = q ### Answer: 4 3/14
Expected answer: 61/14
Correct? No
Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m
InternLM-Math Base 20B:
Reasoning: 145 = 95 + 46 * m 145 - 95 = 46 * m 50 = 46 * m 50/46 = m 10.869565217391304347826086956522 = m ### Answer: 10.869565217391304347826086956522
Expected answer: 25/23
Correct? No
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
InternLM-Math Base 20B:
Reasoning: 68 = 13 + 6 * i 68 - 13 = 13 - 13 + 6 * i 55 = 6 * i 55/6 = 6 * i / 6 9 1/6 = i ### 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 20B:
Reasoning: 25 = ((74 * h) - 61) 25 + 61 = ((74 * h) - 61) + 61 86 = 74 * h 86/74 = 74 * h / 74 1.1627 = h ### Answer: 1.1627
Expected answer: 43/37
Correct? No
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
InternLM-Math Base 20B:
Reasoning: 51 = ((6 * q) - 30) is equivalent to 51 + 30 = 6 * q. 81 = 6 * q is equivalent to 81/6 = q. ### Answer: 81/6
Expected answer: 27/2
Correct? Yes
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
InternLM-Math Base 20B:
Reasoning: 38 = 81 - 36 * r 81 - 38 = 36 * r 43 = 36 * r r = 43/36 ### Answer: 43/36
Expected answer: 43/36
Correct? Yes
Problem: Solve the following equation: 90 = (23 + (56 * a))
InternLM-Math Base 20B:
Reasoning: 90 = (23 + (56 * a)) is equivalent to 90 = 23 + 56a. 90 = 23 + 56a is equivalent to 90 - 23 = 56a. 90 - 23 = 56a is equivalent to 67 = 56a. 67 = 56a is equivalent to a = 67/56. a = 67/56 is equivalent to a = <<67/56=1.2>>1.2. ### 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 20B:
Reasoning: 81 = 13 + 30 * h 81 - 13 = 13 - 13 + 30 * h 68 = 30 * h 68/30 = 30 * h / 30 2.2666666666666665 = h ### Answer: 2.2666666666666665
Expected answer: 34/15
Correct? Yes
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
InternLM-Math Base 20B:
Reasoning: 160 = 62m + 69 160 - 69 = 62m + 69 - 69 91 = 62m 91/62 = 62m/62 1.46 = m ### Answer: 1.46
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
InternLM-Math Base 20B:
Reasoning: 100 = 69 + 28 * q 100 - 69 = 69 + 28 * q - 69 31 = 28 * q 31/28 = 28 * q / 28 31/28 = q ### Answer: 31/28
Expected answer: 31/28
Correct? Yes
Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)
InternLM-Math Base 20B:
Reasoning: 192 = ((98 * w) + 94) => 192 = (98 * w) + 94 => 192 - 94 = (98 * w) + 94 - 94 => 98 = 98 * w => 98/98 = w => 1 = w ### 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 20B:
Reasoning: 40 = 93 - 33 * y 40 = 93 - 33 * y 40 = 60 - 33 * y 40 - 60 = -33 * y -20 = -33 * y -20/-33 = -33 * y/-33 0.606060606060606 = y ### Answer: 0.606060606060606
Expected answer: 53/33
Correct? No
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
InternLM-Math Base 20B:
Reasoning: 74 = ((48 * u) - 20) is equivalent to 74 + 20 = 48 * u. 94 = 48 * u is equivalent to 94/48 = u. 1.958333 = u. ### Answer: 1.958333
Expected answer: 47/24
Correct? No
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
InternLM-Math Base 20B:
Reasoning: 13 = ((86 * f) - 76) 13 + 76 = ((86 * f) - 76) + 76 89 = 86 * f 89/86 = 86 * f / 86 1.03 = f ### Answer: 1.03
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
InternLM-Math Base 20B:
Reasoning: 122 = (36 + (56 * c)) 122 = 36 + 56c 86 = 56c 86/56 = c 1.5 = c ### 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 20B:
Reasoning: 186 = 99 + 81 * q 186 - 99 = 99 - 99 + 81 * q 87 = 0 + 81 * q 87/81 = 81/81 * q 1.07407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
Expected answer: 29/27
Correct? Yes
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
InternLM-Math Base 20B:
Reasoning: 120 = 42u + 77 120 - 77 = 42u + 77 - 77 42u = 120 - 77 42u = 43 u = 43/42 u = <<43/42=1.0238>>1.0238 ### Answer: 1.0238
Expected answer: 43/42
Correct? No
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
InternLM-Math Base 20B:
Reasoning: 103 = (52 + (6 * j)) 103 = 25 + (6 * j) 78 = (6 * j) 78/6 = j 13 = j ### Answer: 13
Expected answer: 17/2
Correct? No
Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))
InternLM-Math Base 20B:
Reasoning: 56 = (82 - (4 * n)) 56 = 82 - 4n 56 - 82 = -4n -26 = -4n -26/-4 = -4n/-4 6.5 = n ### Answer: 6.5
Expected answer: 13/2
Correct? Yes
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
InternLM-Math Base 20B:
Reasoning: 77 = 14 + 60 * m 77 - 14 = 14 - 14 + 60 * m 63 = 0 + 60 * m 63/60 = 60/60 * m 63/60 = 1 * m 63/60 = m ### Answer: 63/60
Expected answer: 21/20
Correct? Yes
Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e
InternLM-Math Base 20B:
Reasoning: 31 - 17 = <<31-17=14>>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 20B:
Reasoning: 2 = 81 - (15 * x) 81 - 15x = 2 81 - 2 = 15x 79 = 15x 79/15 = x 5 1/15 = x ### Answer: 5 1/15
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
InternLM-Math Base 20B:
Reasoning: 177 = 88 + 6 * e 177 - 88 = 6 * e 89 = 6 * e 89/6 = e 14 5/6 = e ### Answer: 14 5/6
Expected answer: 89/6
Correct? Yes
Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15
InternLM-Math Base 20B:
Reasoning: 95 = 3*r + 15 95 - 15 = 3*r + 15 - 15 80 = 3*r 80/3 = 3*r/3 80/3 = r 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 20B:
Reasoning: 154 = (70 + (31 * v)) 154 = 70 + 31v 154 - 70 = 70 - 70 + 31v 84 = 31v 84/31 = 31v/31 2.74 = v ### Answer: 2.74
Expected answer: 84/31
Correct? No
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
InternLM-Math Base 20B:
Reasoning: 179 = ((70 * r) + 87) is equivalent to 179 = 70r + 87. Subtracting 87 from both sides of the equation gives 92 = 70r. Dividing both sides of the equation by 70 gives 92/70 = r. ### Answer: 92/70
Expected answer: 46/35
Correct? Yes
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
InternLM-Math Base 20B:
Reasoning: 93 = ((19 * r) + 2) 93 - 2 = ((19 * r) + 2) - 2 91 = 19 * r 91/19 = 19 * r / 19 91/19 = r r = 91/19 r = <<91/19=4.789473684210526>>4.789473684210526
Expected answer: 91/19
Correct? Yes
Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))
InternLM-Math Base 20B:
Reasoning: 20 = (67 - (37 * z)) 20 = 67 - 37z 20 - 67 = -37z -47 = -37z 47 = 37z 47/37 = z 1.297 = z ### Answer: 1.297
Expected answer: 47/37
Correct? No
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
InternLM-Math Base 20B:
Reasoning: 65 = (25 * m) + 15 65 - 15 = (25 * m) + 15 - 15 50 = 25 * m 50/25 = 25 * m / 25 2 = m ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)
InternLM-Math Base 20B:
Reasoning: 79 = ((6 * g) + 19) => 79 - 19 = 6 * g => 60 = 6 * g => 60/6 = g => 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 20B:
Reasoning: 30 = ((56 * l) - 45) is equivalent to 30 + 45 = 56 * l. 75 = 56 * l is equivalent to 75/56 = l. ### Answer: 75/56
Expected answer: 75/56
Correct? Yes
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
InternLM-Math Base 20B:
Reasoning: 57 = ((11 * j) + 4) => 57 - 4 = ((11 * j) + 4) - 4 => 53 = (11 * j) => 53/11 = (11 * j)/11 => 53/11 = j => 53/11 = <<53/11=4.818181818181818>>4.818181818181818 ### Answer: 4.818181818181818
Expected answer: 53/11
Correct? Yes
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
InternLM-Math Base 20B:
Reasoning: 36 = 34 * f - 56 36 + 56 = 34 * f 92 = 34 * f 92/34 = f 2.7 = f ### Answer: 2.7
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 20B:
Reasoning: 56 = (70 * u) - 43 56 + 43 = (70 * u) - 43 + 43 99 = 70 * u 99/70 = 70 * u / 70 <<99/70=1.4142857142857142>>1.4142857142857142 = u ### Answer: 1.4142857142857142
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
InternLM-Math Base 20B:
Reasoning: 67 = 21 + 9*x 67 - 21 = 21 + 9*x - 21 46 = 9*x 46/9 = 9*x/9 5 = x ### Answer: 5
Expected answer: 46/9
Correct? No
Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)
InternLM-Math Base 20B:
Reasoning: 75 = (58 + 16 * i) 75 = 58 + 16 * i 75 - 58 = 16 * i 17 = 16 * i 17/16 = i i = <<17/16=1.0625>>1.0625 ### Answer: 1.0625
Expected answer: 17/16
Correct? Yes
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
InternLM-Math Base 20B:
Reasoning: 111 = (54 + (39 * x)) 111 = 54 + 39x 111 - 54 = 39x 57 = 39x 57/39 = x 1.4615 = x ### Answer: 1.4615
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
InternLM-Math Base 20B:
Reasoning: 155 = ((26 * o) + 68) 155 = (26 * o) + 68 155 - 68 = (26 * o) + 68 - 68 87 = 26 * o 87/26 = 26 * o / 26 3 9/13 = o ### Answer: 3 9/13
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
InternLM-Math Base 20B:
Reasoning: 7 = ((12 * p) - 17) is equivalent to 7 = (12 * p) - 17. Adding 17 to both sides of the equation gives 7 + 17 = (12 * p) - 17 + 17. Simplifying gives 24 = 12 * p. Dividing both sides of the equation by 12 gives 24/12 = 12 * p/12. Simplifying gives 2 = p. Therefore, the solution to the equation is p = 2. ### 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 20B:
Reasoning: 163 = 93 + 55 * b 163 - 93 = 55 * b 70 = 55 * b 70/55 = b 1.2727272727272727 = b ### Answer: 1.2727272727272727
Expected answer: 14/11
Correct? Yes
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
InternLM-Math Base 20B:
Reasoning: 62 = (u - 26) => 62 + 26 = (u - 26) + 26 => 88 = u - 26 + 26 => 88 = u - 26 + 26 => 88 = u => u = 88 ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)
InternLM-Math Base 20B:
Reasoning: 179 = ((63 * a) + 93) 179 - 93 = ((63 * a) + 93) - 93 86 = 63 * a 86/63 = 63 * a / 63 1.3698630137 = a ### Answer: 1.3698630137
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
InternLM-Math Base 20B:
Reasoning: 51 = ((27 * c) - 11) 51 + 11 = ((27 * c) - 11) + 11 62 = 27 * c 62/27 = 27 * c / 27 62/27 = c 2.26 = c ### Answer: 2.26
Expected answer: 62/27
Correct? No
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
InternLM-Math Base 20B:
Reasoning: 19 = ((28 * d) - 18) 19 + 18 = ((28 * d) - 18) + 18 37 = 28 * d 37/28 = 28 * d / 28 37/28 = d 1.32142857142857142857142857142857 = d ### Answer: 1.32142857142857142857142857142857
Expected answer: 37/28
Correct? Yes
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
InternLM-Math Base 20B:
Reasoning: 159 = (47 * e) + 62 159 - 62 = (47 * e) + 62 - 62 159 - 62 = 47 * e 97 = 47 * e 97/47 = 47 * e / 47 2 = e ### Answer: 2
Expected answer: 97/47
Correct? No
Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))
InternLM-Math Base 20B:
Reasoning: 145 = (50 + (91 * g)) 145 = 50 + 91g 145 - 50 = 50 - 50 + 91g 95 = 91g 95/91 = 91g/91 1.04395604395604 = g ### Answer: 1.04395604395604
Expected answer: 95/91
Correct? No
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
InternLM-Math Base 20B:
Reasoning: 123 = ((44 * l) + 73) => 123 - 73 = ((44 * l) + 73) - 73 => 50 = 44 * l => 50/44 = 44 * l / 44 => 1.1364 = l ### Answer: 1.1364
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
InternLM-Math Base 20B:
Reasoning: 165 = ((19 * q) + 75) => 165 = (19 * q) + 75 => 165 - 75 = (19 * q) + 75 - 75 => 90 = (19 * q) => 90/19 = q => 4.7368 = q => q = 4.7368 ### Answer: 4.7368
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 20B:
Reasoning: 149 = ((18 * g) + 62) is equivalent to 149 - 62 = 18 * g. Subtracting 62 from both sides of the equation gives 87 = 18 * g. Dividing both sides of the equation by 18 gives 87/18 = g. Simplifying 87/18 gives 4 7/18 = g. Therefore, g = 4 7/18. ### Answer: 4 7/18
Expected answer: 29/6
Correct? No
Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21
InternLM-Math Base 20B:
Reasoning: 84 = 20 * d + 21 84 - 21 = 20 * d + 21 - 21 63 = 20 * d 63/20 = 20 * d / 20 63/20 = d ### Answer: 63/20
Expected answer: 63/20
Correct? Yes
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
InternLM-Math Base 20B:
Reasoning: 61 = (50 + (6 * g)) 61 = 50 + 6g 61 - 50 = 6g 11 = 6g 11/6 = g ### Answer: 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 20B:
Reasoning: 126 = (21 * v) + 76 126 - 76 = (21 * v) + 76 - 76 50 = 21 * v 50/21 = 21 * v / 21 50/21 = v ### Answer: 50/21
Expected answer: 50/21
Correct? Yes
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
InternLM-Math Base 20B:
Reasoning: 74 = (91 * g) - 24 74 + 24 = (91 * g) - 24 + 24 98 = 91 * g 98/91 = 91 * g / 91 1.07 = g ### Answer: 1.07
Expected answer: 14/13
Correct? No