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
Gemma 2B:
Reasoning: 122 = 92 + 28u 28u = 122 - 92 28u = 30 u = 10.5 ### Answer: 10.5
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
Gemma 2B:
Reasoning: 42 = 35i - 34 35i = 42 + 34 35i = 76 i = 76/35 ### Answer: i = 2
Expected answer: 76/35
Correct? No
Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r
Gemma 2B:
Reasoning: 94 = 41 + 6r 6r = 94 - 41 r = 14
Expected answer: 53/6
Correct? No
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
Gemma 2B:
Reasoning: 158 = 19i + 94 19i = 158 - 94 19i = 64 i = 3.4
Expected answer: 64/19
Correct? No
Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)
Gemma 2B:
Reasoning: 134 = 30q + 54 30q = 134 - 54 30q = 80 q = 80/30 ### Answer: 2.8
Expected answer: 8/3
Correct? No
Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)
Gemma 2B:
Reasoning: 94 = 27 + y y = 94 - 27 y = 67 ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)
Gemma 2B:
Reasoning: 9 = 23h - 70 23h = 9 + 70 23h = 79 h = 79/23 ### Answer: 3.5
Expected answer: 79/23
Correct? No
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
Gemma 2B:
92 = 33t + 26 33t = 92 - 26 33t = 66 t = 2
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation to find the value of e: 123 = ((15 * e) + 29).
Gemma 2B:
Reasoning: 123 = 15e + 29 15e = 123 - 29 15e = 94 e = 6.2
Expected answer: 94/15
Correct? No
Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)
Gemma 2B:
Reasoning: 16 = 75k - 80 16 + 80 = 75k 75k = 96 k = 1.32 ### Answer: 1.32
Expected answer: 32/25
Correct? No
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
Gemma 2B:
Reasoning: 131 = 5q + 89 5q = 131 - 89 q = 42/5 ### Answer: 42
Expected answer: 42/5
Correct? Yes
Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)
Gemma 2B:
Reasoning: 147 = 38p + 56 Solving for p: 38p = 147 - 56 p = <<(147 - 56)/38>> p = 4
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
Gemma 2B:
Reasoning: 76 = 42j + 23 42j = 76 - 23 42j = 53 j = 53/42 ### Answer: 1.25
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
Gemma 2B:
Reasoning: 43 = 43, and 25 * l = 25 * 3 = <<75>>75. Therefore, l = 3. ### Answer: 3
Expected answer: 19/5
Correct? No
Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)
Gemma 2B:
Reasoning: 80 = 24w + 35 Subtracting 24w from both sides: 80 - 24w = 35 Adding 24w to both sides: 80 = 35 + 24w Subtracting 35 from both sides: 55 = 24w Dividing both sides by 24: w = 2.3125
Expected answer: 15/8
Correct? No
Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))
Gemma 2B:
Reasoning: 77 = 33 + 14x 14x = 77 - 33 14x = 44 x = 44/14 ### Answer: 3
Expected answer: 22/7
Correct? No
Problem: Solve the following linear equation to find the value of y: 110 = 12 + 88 * y
Gemma 2B:
Reasoning: 110 = 12 + 88y 88y = 110 - 12 88y = 98 y = 110/88 ### Answer: 1.125
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
Gemma 2B:
Reasoning: 179 = 82 * s + 80 179 - 80 = 82 * s 99 = 82 * s s = 99/82 ### Answer: s = 1.225
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
Gemma 2B:
Reasoning: 129 = 26m + 66 Subtracting 66 from both sides: 129 - 66 = 26m Simplifying: 63 = 26m Dividing both sides by 26: m = <<63/26=2.416>>2.416
Expected answer: 63/26
Correct? Yes
Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)
Gemma 2B:
82 = 27q - 17 27q = 82 + 17 27q = 99 q = 99/27 q = 3.5
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
Gemma 2B:
Reasoning: 141 = 64 + 22k 22k = 141 - 64 22k = 77 k = 77/22 ### Answer: k = 3.5
Expected answer: 7/2
Correct? Yes
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
Gemma 2B:
175 = 91 + 180v 180v = 175 - 91 180v = 84 v = 4.7
Expected answer: 28/15
Correct? No
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
Gemma 2B:
Reasoning: 50 = 63k - 18 Adding 18 to both sides: 63k = 50 + 18 63k = 68 Dividing both sides by 63: k = 1.11
Expected answer: 68/63
Correct? No
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
Gemma 2B:
Reasoning: 65 = 8l - 10 8l = 65 + 10 8l = 75 l = 75/8 ### Answer: l = 9.125
Expected answer: 75/8
Correct? No
Problem: Solve the following equation: 5 = ((10 * u) - 34)
Gemma 2B:
Reasoning: 5 = 10u - 34 10u = 5 + 34 10u = 39 u = 3.9 ### Answer: u = 3.9
Expected answer: 39/10
Correct? Yes
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
Gemma 2B:
Reasoning: 91 = 9a + 61 Subtracting 61 from both sides: 30 = 9a Dividing both sides by 9: a = 3.33.
Expected answer: 10/3
Correct? No
Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61
Gemma 2B:
Reasoning: 157 = 53 * i + 61 53 * i = 157 - 61 53 * i = 96 i = 19.2
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
Gemma 2B:
Reasoning: 71 = 24q + 14 24q = 71 - 14 24q = 57 q = 57/24 ### Answer: q = 2.375
Expected answer: 19/8
Correct? Yes
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
Gemma 2B:
Reasoning: 163 = 96 + 14i 14i = 163 - 96 14i = 67 i = 4.625 ### Answer: 4.625
Expected answer: 67/14
Correct? No
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
Gemma 2B:
59 = 70e - 23 70e = 59 + 23 70e = 82 e = 82/70 ### Answer: e = 1.2
Expected answer: 41/35
Correct? No
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
Gemma 2B:
147 = 36o + 74 36o = 147 - 74 36o = 73 o = 73/36 o = 2.08
Expected answer: 73/36
Correct? No
Problem: Solve the following equation: 71 = 93 - (13 * d)
Gemma 2B:
Reasoning: 71 = 93 - 13d. 13d = 93 - 71 = <<93-71=22>>22. d = 22/13 = <<22/13=1.7>>1.7. ### Answer: 1.7
Expected answer: 22/13
Correct? No
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
Gemma 2B:
Reasoning: 118 = 64 + 6n. Subtracting 64 from both sides, we get: 118 - 64 = 64 + 6n - 64. 54 = 6n. Dividing both sides by 6, we get: n = 9
Expected answer: 9
Correct? Yes
Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)
Gemma 2B:
Reasoning: 61 = 5d - 7 5d = 61 + 7 5d = 68 d = 13.6 ### Answer: 13.6
Expected answer: 68/5
Correct? Yes
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
Gemma 2B:
Reasoning: 79 = 8z - 18 8z = 79 + 18 8z = 97 z = 12.0125 ### Answer: 12.0125
Expected answer: 97/8
Correct? No
Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)
Gemma 2B:
Reasoning: 129 = 2z + 63 2z = 129 - 63 z = (129 - 63)/2 z = 65 ### Answer: 65
Expected answer: 33
Correct? No
Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))
Gemma 2B:
Reasoning: 127 = 29 + 32e 32e = 127 - 29 e = (127 - 29) / 32 = 4.125 ### Answer: 4.125
Expected answer: 49/16
Correct? No
Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)
Gemma 2B:
Reasoning: 30 = 50x - 35 50x = 30 + 35 50x = 65 x = 6.5 ### Answer: 6.5
Expected answer: 13/10
Correct? No
Problem: Solve the following equation for x: 66 = 9 + 10 * x
Gemma 2B:
66 = 9 + 10x 10x = 66 - 9 10x = 57 x = 5.7
Expected answer: 57/10
Correct? Yes
Problem: Solve the following algebraic equation for the unknown variable a: 103 = ((38 * a) + 51)
Gemma 2B:
Reasoning: 103 = 38a + 51 38a = 103 - 51 38a = 52 a = 52/38 a = 1.4375 ### Answer: 1.4375
Expected answer: 26/19
Correct? No
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
Gemma 2B:
Reasoning: 105 = 28f + 8 28f = 105 - 8 28f = 97 f = 97/28 ### Answer: 3.5
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
Gemma 2B:
50 * u = 63 - 12 50 * u = 51 u = 1.02
Expected answer: 51/50
Correct? Yes
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
Gemma 2B:
Reasoning: 60 = 42 + 10b 10b = 60 - 42 10b = 18 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)
Gemma 2B:
84 = 25j + 13 25j = 84 - 13 25j = 71 j = 71/25 ### Answer: 2.84
Expected answer: 71/25
Correct? Yes
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
Gemma 2B:
Reasoning: 153 = 91 + 5s 5s = 153 - 91 5s = 62 s = 12.4
Expected answer: 62/5
Correct? Yes
Problem: Solve for g in the following equation: 65 = (22 + (30 * g))
Gemma 2B:
Reasoning: 65 = 22 + 30g. Subtracting 22 from both sides: 43 = 30g. Dividing both sides by 30: g = <<43/30=1.43>>1.43. ### Answer: 1.43
Expected answer: 43/30
Correct? No
Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)
Gemma 2B:
Reasoning: 96 = 29f + 10 29f = 96 - 10 29f = 86 f = 86/29 ### Answer: 3
Expected answer: 86/29
Correct? No
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
Gemma 2B:
Reasoning: 80 = 19 + 14q 14q = 80 - 19 14q = 61 q = 61/14 ### Answer: q = 4.375
Expected answer: 61/14
Correct? No
Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m
Gemma 2B:
145 = 95 + 184m 184m = 145 - 95 184m = 50 m = 50/184 ### Answer: 0.278
Expected answer: 25/23
Correct? No
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
Gemma 2B:
Reasoning: First, we need to isolate the variable 'i' on one side of the equation. 13 = 13 + 6 * i 6 * i = 13 - 13 6 * i = 0 i = 0 ### Answer: 0
Expected answer: 55/6
Correct? No
Problem: Solve the following equation for the value of h: 25 = ((74 * h) - 61)
Gemma 2B:
Reasoning: 25 = 74h - 61 74h = 25 + 61 74h = 86 h = 86/74 ### Answer: 1.2
Expected answer: 43/37
Correct? No
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
Gemma 2B:
Reasoning: 51 = 6q - 30 6q = 51 + 30 6q = 81 q = 14.166... ### Answer: 14.166...
Expected answer: 27/2
Correct? No
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
Gemma 2B:
Reasoning: 38 = 81 - 36r 36r = 81 - 38 36r = 43 r = 43/36 ### Answer: 1.18
Expected answer: 43/36
Correct? No
Problem: Solve the following equation: 90 = (23 + (56 * a))
Gemma 2B:
Reasoning: First, we need to solve the equation inside the parentheses: 56 * a = 90 - 23 = <<90-23=67>>67. Then, we add 23 to both sides: 23 + 56 * a = 67. Finally, we divide both sides by 56 to solve for a: a = <<67 รท 56=1.16>>1.16.
Expected answer: 67/56
Correct? No
Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h
Gemma 2B:
Reasoning: 81 = 13 + 30h. Subtracting 13 from both sides: 81 - 13 = 13 - 13 + 30h. Simplifying: 68 = 30h. Dividing both sides by 30: h = <<68/30=2.28>>2.28. ### Answer: 2.28
Expected answer: 34/15
Correct? No
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
Gemma 2B:
160 = 62m + 69 62m - 160 = 69 m = 2.78
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
Gemma 2B:
Reasoning: 100 = 69 + 56 * q 56 * q = 100 - 69 56 * q = 31 q = 31/56 ### Answer: 0.56
Expected answer: 31/28
Correct? No
Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)
Gemma 2B:
192 = 98w + 94 98w = 192 - 94 98w = 98 w = 1
Expected answer: 1
Correct? Yes
Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y
Gemma 2B:
Reasoning: 40 = 93 - 33 * y => 33 * y = 93 - 40 => 33 * y = 53 => y = 53/33 ### Answer: 1.6
Expected answer: 53/33
Correct? No
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
Gemma 2B:
Reasoning: 74 = 48u - 20 48u = 74 + 20 48u = 94 u = 94/48 u = 2.0625 ### Answer: 2.0625
Expected answer: 47/24
Correct? No
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
Gemma 2B:
Reasoning: 13 = 86f - 76 86f = 13 + 76 86f = 89 f = 89/86 ### Answer: f = 1.03
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
Gemma 2B:
Reasoning: 122 = 36 + 56c 56c = 122 - 36 56c = 86 c = 1.55
Expected answer: 43/28
Correct? No
Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q
Gemma 2B:
Reasoning: Starting with the equation, we have 99 = 81 * q. Dividing both sides by 81, we get q = 1.2. ### Answer: 1.2
Expected answer: 29/27
Correct? No
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
Gemma 2B:
Reasoning: 120 = 42u + 77 42u = 120 - 77 42u = 43 u = 10.25 ### Answer: 10.25
Expected answer: 43/42
Correct? No
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
Gemma 2B:
Reasoning: 103 = 52 + 6j 6j = 103 - 52 j = (103 - 52) / 6 j = 17
Expected answer: 17/2
Correct? No
Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))
Gemma 2B:
Reasoning: 56 = 82 - 4n 4n = 82 - 56 4n = 26 n = 26/4 ### Answer: 6.5
Expected answer: 13/2
Correct? Yes
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
Gemma 2B:
Reasoning: 77 = 14 + 60m 60m = 77 - 14 60m = 63 m = 1.05 ### Answer: 1.05
Expected answer: 21/20
Correct? Yes
Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e
Gemma 2B:
Reasoning: 31 = 17 + e e = 31 - 17 e = 14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: Find the value of x that solves the following equation: 2 = 81 - (15 * x)
Gemma 2B:
Reasoning: 2 = 81 - 15x 15x = 81 - 2 15x = 79 x = 5.6
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
Gemma 2B:
Reasoning: 177 = 88 + 6e. Subtracting 88 from both sides, we get: 177 - 88 = 88 + 6e - 88. 179 = 6e. Dividing both sides by 6, we get: e = 29.5.
Expected answer: 89/6
Correct? No
Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15
Gemma 2B:
Reasoning: 95 = 3*r + 15 3*r = 95 - 15 3*r = 80 r = 80/3 r = 27.33 ### Answer: 27.33
Expected answer: 80/3
Correct? No
Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))
Gemma 2B:
Reasoning: 154 = 70 + 31v 31v = 154 - 70 31v = 84 v = 84/31 ### Answer: v = 2
Expected answer: 84/31
Correct? No
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
Gemma 2B:
Reasoning: 179 = 70r + 87 70r = 179 - 87 70r = 92 r = 13.2
Expected answer: 46/35
Correct? No
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
Gemma 2B:
Reasoning: 93 = 19r + 2 Subtracting 2 from both sides, we get: 19r = 91 Dividing both sides by 19, we find: r = 5
Expected answer: 91/19
Correct? No
Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))
Gemma 2B:
Reasoning: 20 = 67 - 37z 37z = 67 - 20 37z = 47 z = 47/37 = 1.29
Expected answer: 47/37
Correct? Yes
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
Gemma 2B:
Reasoning: 65 = 25m + 15 25m = 65 - 15 25m = 50 m = 50/25 ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)
Gemma 2B:
Reasoning: 79 = 6g + 19 6g = 79 - 19 g = (79 - 19) / 6 g = 50/6 g = 8.33 ### Answer: 8.33
Expected answer: 10
Correct? No
Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)
Gemma 2B:
Reasoning: 30 = 56l - 45 56l = 30 + 45 56l = 75 l = 75/56 ### Answer: l = 1.28
Expected answer: 75/56
Correct? No
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
Gemma 2B:
Reasoning: 57 = 11j + 4 Subtracting 4 from both sides, we get: 11j = 57 - 4 11j = 53 Dividing both sides by 11, we find: j = 5
Expected answer: 53/11
Correct? No
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
Gemma 2B:
36 = 34f - 56 34f - 36 = 56 34f = 56 + 36 34f = 92 f = 92/34 f = 2
Expected answer: 46/17
Correct? No
Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43
Gemma 2B:
56 = 70u - 43 70u - 56 = 43 70u = 43 + 56 70u = 99 u = 13.5
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
Gemma 2B:
Reasoning: First, we need to isolate the variable x on one side of the equation. 67 = 21 + 9*x 9*x = 67 - 21 9*x = 46 x = 5
Expected answer: 46/9
Correct? No
Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)
Gemma 2B:
Reasoning: 75 = 58 + 16i 16i = 75 - 58 i = (75 - 58) / 16 i = 2.8125 ### Answer: 2.8125
Expected answer: 17/16
Correct? No
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
Gemma 2B:
Reasoning: 111 = 54 + 39x 39x = 111 - 54 39x = 57 x = 57/39 ### Answer: 1.43
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
Gemma 2B:
155 = 52o + 68 52o = 155 - 68 52o = 87 o = 1.75
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
Gemma 2B:
Reasoning: 7 = 12p - 17 12p = 7 + 17 12p = 24 p = 24/12 ### Answer: p = 2
Expected answer: 2
Correct? Yes
Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?
Gemma 2B:
Reasoning: 163 = 93 + 55b. Solving for 'b', we get: 55b = 163 - 93 = <<163-93=70>>70. Therefore, b = <<70/55=1.28>>1.28.
Expected answer: 14/11
Correct? Yes
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
Gemma 2B:
Reasoning: 62 = u - 26 Adding 26 to both sides: u = 62 + 26 u = <<88>>88 ### Answer: 88
Expected answer: 88
Correct? Yes
Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)
Gemma 2B:
Reasoning: 179 = 63a + 93 63a = 179 - 93 63a = 86 a = 86/63 ### Answer: 1.44
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
Gemma 2B:
Reasoning: 51 = 27c - 11 27c = 51 + 11 27c = 62 c = 62/27 c = 2
Expected answer: 62/27
Correct? No
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
Gemma 2B:
Reasoning: 19 = 28d - 18 18 = 28d d = 18/28 = <<0.625>>0.625
Expected answer: 37/28
Correct? No
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
Gemma 2B:
Reasoning: 159 = 47e + 62 47e = 159 - 62 47e = 97 e = 2
Expected answer: 97/47
Correct? No
Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))
Gemma 2B:
Reasoning: 145 = 50 + 91g 91g = 145 - 50 g = (145 - 50) / 91 = 1.5 ### Answer: 1.5
Expected answer: 95/91
Correct? No
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
Gemma 2B:
Reasoning: 123 = 44l + 73 44l = 123 - 73 44l = 50 l = 50/44 ### Answer: l = 1.25
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
Gemma 2B:
Reasoning: 165 = 19q + 75 19q = 165 - 75 19q = 90 q = 5 ### Answer: 5
Expected answer: 90/19
Correct? No
Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)
Gemma 2B:
Reasoning: 149 = 18g + 62 18g = 149 - 62 18g = 87 g = 5
Expected answer: 29/6
Correct? No
Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21
Gemma 2B:
Reasoning: 84 = 20d + 21 20d = 84 - 21 20d = 63 d = 63/20 ### Answer: 3.15
Expected answer: 63/20
Correct? Yes
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
Gemma 2B:
61 = 50 + 6g 61 - 50 = 6g 11 = 6g g = 11/6
Expected answer: 11/6
Correct? Yes
Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)
Gemma 2B:
Reasoning: (21 * v) + 76 = 126 21 * v = 126 - 76 21 * v = 50 v = 50 รท 21 v = 2.59 ### Answer: 2.59
Expected answer: 50/21
Correct? No
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
Gemma 2B:
Reasoning: 74 = 91g - 24 91g = 74 + 24 91g = 98 g = 10.2
Expected answer: 14/13
Correct? No