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
CodeLlama 34B:
To solve this equation for the variable u, we can first subtract 92 from both sides, which gives us: 28u = 30 Next, we can divide both sides by 28 to solve for u: u = 30/28 Therefore, the value of u is 1.071428571.
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
CodeLlama 34B:
To solve for i in the equation 42 = ((35 * i) - 34), we need to isolate the variable i. First, we can add 34 to both sides of the equation to get: 42 + 34 = (35 * i) This simplifies to: 76 = 35 * i Next, we can divide both sides of the equation by 35 to get: i = 76 / 35 Therefore, the value of i is 2.
Expected answer: 76/35
Correct? No
Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r
CodeLlama 34B:
To solve this equation, we can first subtract 41 from both sides, which gives us: 6r = 53 Next, we can divide both sides by 6 to solve for r: r = 53 / 6 r = 9 Therefore, the value of r is 9.
Expected answer: 53/6
Correct? No
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
CodeLlama 34B:
To solve for "i" in the equation 158 = ((19 * i) + 94), we need to isolate the variable "i". First, we can subtract 94 from both sides of the equation to get: 158 - 94 = (19 * i) This simplifies to: 64 = 19 * i Now, we can divide both sides of the equation by 19 to get: i = 64 / 19 i = 3 Therefore, the value of "i" is 3.
Expected answer: 64/19
Correct? No
Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)
CodeLlama 34B:
To solve for 'q' in the equation 134 = ((30 * q) + 54), we need to isolate the variable 'q'. First, we can subtract 54 from both sides of the equation to get: 134 - 54 = (30 * q) + 54 - 54 This simplifies to: 80 = 30 * q Now, we can divide both sides of the equation by 30 to solve for 'q': q = 80 / 30 q = 2 Therefore, the value of 'q' that satisfies the equation is 2.
Expected answer: 8/3
Correct? No
Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)
CodeLlama 34B:
To solve this linear equation, we need to isolate the variable y. We can do this by subtracting 27 from both sides of the equation, which gives us: y = 94 - 27 y = 67 Therefore, the value of y is 67.
Expected answer: 67
Correct? Yes
Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)
CodeLlama 34B:
To solve for the value of h, we need to isolate the variable h on one side of the equation. First, we can add 70 to both sides of the equation to get: 23h = 9 + 70 23h = 79 Next, we can divide both sides of the equation by 23 to get: h = 79/23 Therefore, the value of h is 79/23.
Expected answer: 79/23
Correct? Yes
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
CodeLlama 34B:
To solve this equation, we can first subtract 26 from both sides, which gives us: 33t = 66 Next, we can divide both sides by 33, which gives us: t = 2 Therefore, the value of t is 2.
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation to find the value of e: 123 = ((15 * e) + 29).
CodeLlama 34B:
To solve this equation, we can first subtract 29 from both sides, which gives us: 123 - 29 = (15e + 29) - 29 This simplifies to: 94 = 15e Now, we can divide both sides by 15 to solve for e: e = 94/15 e = 6 Therefore, the value of e is 6.
Expected answer: 94/15
Correct? No
Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)
CodeLlama 34B:
To solve this equation, we need to isolate the variable 'k' on one side of the equation. First, we can rewrite the equation as: 16 = 75k - 80 Next, we can add 80 to both sides of the equation to get: 16 + 80 = 75k This simplifies to: 96 = 75k Now, we can divide both sides of the equation by 75 to solve for 'k': k = 96/75 k = 1.2667 Therefore, the value of 'k' is 1.2667.
Expected answer: 32/25
Correct? No
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
CodeLlama 34B:
To solve for q in the equation 131 = ((5 * q) + 89), we need to isolate the variable q. First, we can subtract 89 from both sides of the equation to get: 131 - 89 = (5 * q) + 89 - 89 This simplifies to: 42 = 5 * q Now, we can divide both sides of the equation by 5 to solve for q: q = 42 / 5 q = 8 Therefore, the value of q is 8.
Expected answer: 42/5
Correct? No
Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)
CodeLlama 34B:
To solve for p, we can first subtract 56 from both sides of the equation, which gives us: 147 - 56 = (38 * p) This simplifies to: 91 = 38 * p Now, we can divide both sides of the equation by 38 to solve for p: p = 91 / 38 p = 2.367 So, the value of p that satisfies the equation is 2.367.
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
CodeLlama 34B:
To solve this equation, we can first subtract 23 from both sides: 76 - 23 = 42 * j This simplifies to: 53 = 42 * j Now, we can divide both sides by 42 to solve for j: j = 53 / 42 j = 1.26 So, the value of j is 1.26.
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
CodeLlama 34B:
To solve this equation, we can first subtract 43 from both sides, which gives us: 25 * l = 95 Next, we can divide both sides by 25 to solve for 'l': l = 95 / 25 l = 3 Therefore, the value of 'l' is 3.
Expected answer: 19/5
Correct? No
Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)
CodeLlama 34B:
To solve this equation, we need to isolate the variable w. First, we can subtract 35 from both sides of the equation to get: 80 - 35 = (24 * w) + 35 - 35 This simplifies to: 45 = 24 * w Now, we can divide both sides of the equation by 24 to solve for w: w = 45 / 24 w = 1.875 Therefore, the value of w is 1.875.
Expected answer: 15/8
Correct? Yes
Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))
CodeLlama 34B:
To solve this linear equation, we need to isolate the variable x. First, we can rewrite the equation as: 77 = 33 + (14 * x) Next, we can subtract 33 from both sides of the equation to get: 44 = 14 * x Now, we can divide both sides of the equation by 14 to solve for x: x = 44 / 14 x = 3 Therefore, the value of x is 3.
Expected answer: 22/7
Correct? No
Problem: Solve the following linear equation to find the value of y: 110 = 12 + 88 * y
CodeLlama 34B:
To solve this linear equation, we can first simplify the right-hand side of the equation by combining the like terms: 110 = 12 + 88y Next, we can subtract 12 from both sides of the equation to isolate the y-term: 98 = 88y Now, we can divide both sides of the equation by 88 to solve for y: y = 98/88 y = 1.1 Therefore, the value of y is 1.1.
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
CodeLlama 34B:
To solve for the variable 's' in the equation 179 = 82 * s + 80, we need to isolate the variable 's' on one side of the equation. First, we can subtract 80 from both sides of the equation to get: 179 - 80 = 82 * s + 80 - 80 This simplifies to: 99 = 82 * s Next, we can divide both sides of the equation by 82 to get: s = 99 / 82 s = 1.21 Therefore, the value of the variable 's' that satisfies the equation is 1.21. ### Answer: 1.21
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
CodeLlama 34B:
To solve for m in the equation 129 = 26 * m + 66, we need to isolate the variable m. First, we can subtract 66 from both sides of the equation to get: 129 - 66 = 26 * m + 66 - 66 This simplifies to: 63 = 26 * m Next, we can divide both sides of the equation by 26 to get: m = 63 / 26 m = 2 Therefore, the value of m is 2.
Expected answer: 63/26
Correct? No
Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)
CodeLlama 34B:
To solve for q in the equation 82 = ((27 * q) - 17), we need to isolate the variable q. First, we can add 17 to both sides of the equation to get: 82 + 17 = (27 * q) This simplifies to: 100 = 27 * q Now, we can divide both sides of the equation by 27 to solve for q: q = 100 / 27 q = 3.7037037037037035 Therefore, the value of q is 3.7037037037037035.
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
CodeLlama 34B:
To solve for k, we need to isolate the variable k on one side of the equation. First, we can subtract 64 from both sides of the equation to get: 141 - 64 = (22 * k) This simplifies to: 77 = 22 * k Now, we can divide both sides of the equation by 22 to solve for k: k = 77 / 22 k = 3.5 Therefore, the value of k is 3.5.
Expected answer: 7/2
Correct? Yes
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
CodeLlama 34B:
To solve this linear equation, we can first subtract 91 from both sides, which gives us: 45v = 84 Next, we can divide both sides by 45, which gives us: v = 84/45 Therefore, the value of 'v' is 84/45, or 1.867.
Expected answer: 28/15
Correct? Yes
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
CodeLlama 34B:
To solve for the value of k, we need to isolate the variable k on one side of the equation. First, we can subtract 18 from both sides of the equation to get: 50 - 18 = (63 * k) - 18 This simplifies to: 32 = 63 * k Now, we can divide both sides of the equation by 63 to solve for k: k = 32 / 63 Therefore, the value of k is 32/63.
Expected answer: 68/63
Correct? No
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
CodeLlama 34B:
To solve for l in the equation 65 = ((8 * l) - 10), we need to isolate the variable l. First, we can add 10 to both sides of the equation to get: 65 + 10 = (8 * l) This simplifies to: 75 = 8 * l Now, we can divide both sides of the equation by 8 to get: l = 75 / 8 Therefore, the value of l is 9.
Expected answer: 75/8
Correct? Yes
Problem: Solve the following equation: 5 = ((10 * u) - 34)
CodeLlama 34B:
To solve this equation, we need to isolate the variable "u" on one side of the equation. First, we can rewrite the equation as: 5 = 10u - 34 Next, we can add 34 to both sides of the equation to get: 5 + 34 = 10u This simplifies to: 49 = 10u Now, we can divide both sides of the equation by 10 to solve for "u": u = 49/10 Therefore, the value of "u" is 4.9. ### Answer: 4.9
Expected answer: 39/10
Correct? No
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
CodeLlama 34B:
To solve this problem, we can use the following steps: 1. Subtract 61 from both sides of the equation to get: 9 * a = 30 2. Divide both sides of the equation by 9 to get: a = 3 Therefore, the value of 'a' is 3.
Expected answer: 10/3
Correct? No
Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61
CodeLlama 34B:
To solve for the variable i in the equation 157 = 53 * i + 61, we need to isolate the variable i. First, we can subtract 61 from both sides of the equation to get: 157 - 61 = 53 * i + 61 - 61 This simplifies to: 96 = 53 * i Next, we can divide both sides of the equation by 53 to get: i = 96 / 53 i = 1.81 Therefore, the value of i is 1.81.
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
CodeLlama 34B:
To solve for the value of q, we need to isolate the variable q on one side of the equation. First, we can subtract 14 from both sides of the equation to get: 71 - 14 = (24q + 14) - 14 This simplifies to: 57 = 24q Next, we can divide both sides of the equation by 24 to solve for q: q = 57/24 q = 2.4 Therefore, the value of q is 2.4.
Expected answer: 19/8
Correct? No
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
CodeLlama 34B:
To solve for the value of i, we need to isolate the variable i on one side of the equation. First, we can subtract 96 from both sides of the equation to get: 14i = 67 Next, we can divide both sides of the equation by 14 to get: i = 67/14 i = 4.71 Therefore, the value of i is 4.71.
Expected answer: 67/14
Correct? No
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
CodeLlama 34B:
To solve for the value of e, we need to isolate the variable e on one side of the equation. First, we can subtract 23 from both sides of the equation to get: 59 - 23 = (70 * e) - 23 This simplifies to: 36 = 70 * e Next, we can divide both sides of the equation by 70 to get: e = 36/70 Therefore, the value of e is 36/70.
Expected answer: 41/35
Correct? No
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
CodeLlama 34B:
To solve for o in the equation 147 = 36o + 74, we need to isolate the variable o. First, we can subtract 74 from both sides of the equation to get: 147 - 74 = 36o + 74 - 74 This simplifies to: 73 = 36o Next, we can divide both sides of the equation by 36 to get: o = 73/36 o = 2 Therefore, the value of o is 2.
Expected answer: 73/36
Correct? No
Problem: Solve the following equation: 71 = 93 - (13 * d)
CodeLlama 34B:
To solve this equation, we need to isolate the variable "d". First, we can rewrite the equation as: 71 = 93 - 13d Next, we can subtract 71 from both sides of the equation to get: -12 = -13d Now, we can divide both sides of the equation by -13 to get: d = -12/13 So, the value of "d" is -12/13.
Expected answer: 22/13
Correct? No
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
CodeLlama 34B:
To solve this equation, we need to isolate the variable n. First, we can subtract 64 from both sides of the equation to get: 118 - 64 = 6 * n This simplifies to: 54 = 6 * n Now, we can divide both sides of the equation by 6 to get: n = 54 / 6 n = 9 Therefore, the value of n is 9.
Expected answer: 9
Correct? Yes
Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)
CodeLlama 34B:
To solve this equation, we can first add 7 to both sides to get: 61 + 7 = (5d) This simplifies to: 68 = 5d Now, we can divide both sides by 5 to solve for 'd': d = 68/5 d = 13.6 So, the value of 'd' is 13.6.
Expected answer: 68/5
Correct? Yes
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
CodeLlama 34B:
To solve for the value of z in the equation 79 = ((8 * z) - 18), we can first add 18 to both sides of the equation to get: 79 + 18 = (8 * z) This simplifies to: 97 = 8 * z Now, we can divide both sides of the equation by 8 to solve for z: z = 97 / 8 z = 12 Therefore, the value of z is 12.
Expected answer: 97/8
Correct? No
Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)
CodeLlama 34B:
To solve for the value of z in the equation 129 = ((2 * z) + 63), we need to isolate the variable z. First, we can subtract 63 from both sides of the equation to get: 129 - 63 = (2 * z) + 63 - 63 This simplifies to: 66 = 2 * z Next, we can divide both sides of the equation by 2 to get: 33 = z Therefore, the value of z is 33.
Expected answer: 33
Correct? Yes
Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))
CodeLlama 34B:
To solve for e in the equation 127 = (29 + (32 * e)), we need to isolate the variable e. First, we can subtract 29 from both sides of the equation to get: 127 - 29 = (32 * e) This simplifies to: 98 = (32 * e) Next, we can divide both sides of the equation by 32 to get: e = 98/32 e = 3 Therefore, the value of e is 3.
Expected answer: 49/16
Correct? No
Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)
CodeLlama 34B:
To solve for the value of x in the equation 30 = ((50 * x) - 35), we need to isolate the variable x. First, we can add 35 to both sides of the equation to get: 30 + 35 = (50 * x) This simplifies to: 65 = 50 * x Now, we can divide both sides of the equation by 50 to solve for x: x = 65 / 50 x = 1.3 Therefore, the value of x is 1.3.
Expected answer: 13/10
Correct? Yes
Problem: Solve the following equation for x: 66 = 9 + 10 * x
CodeLlama 34B:
To solve for x in the equation 66 = 9 + 10x, we need to isolate the variable x. First, we can subtract 9 from both sides of the equation to get: 57 = 10x Next, we can divide both sides of the equation by 10 to get: x = 57/10 x = 5.7 Therefore, the value of x is 5.7.
Expected answer: 57/10
Correct? Yes
Problem: Solve the following algebraic equation for the unknown variable a: 103 = ((38 * a) + 51)
CodeLlama 34B:
To solve for the unknown variable a in the equation 103 = ((38 * a) + 51), we need to isolate the variable a on one side of the equation. First, we can subtract 51 from both sides of the equation to get: 103 - 51 = (38 * a) This simplifies to: 52 = (38 * a) Next, we can divide both sides of the equation by 38 to get: a = 52 / 38 a = 1.369 (approximately) Therefore, the value of a is approximately 1.369.
Expected answer: 26/19
Correct? No
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
CodeLlama 34B:
To solve for f in the equation 105 = 28 * f + 8, we can first subtract 8 from both sides of the equation to get: 105 - 8 = 28 * f + 8 - 8 This simplifies to: 105 - 16 = 28 * f Now, we can divide both sides of the equation by 28 to solve for f: f = (105 - 16) / 28 f = 37 / 28 Therefore, the value of f is 37/28.
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
CodeLlama 34B:
To solve for u, we can add 50*u to both sides of the equation: 12 + 50*u = 63 Subtracting 12 from both sides gives us: 50*u = 51 Dividing both sides by 50 gives us: u = 51/50 Therefore, the value of u is 51/50.
Expected answer: 51/50
Correct? Yes
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
CodeLlama 34B:
To solve for the value of 'b' in the equation 60 = 42 + (10 * b), we need to isolate the variable 'b' on one side of the equation. First, we can subtract 42 from both sides of the equation to get: 28 = 10 * b Next, we can divide both sides of the equation by 10 to get: b = 28 / 10 b = 2.8 Therefore, the value of 'b' is 2.8.
Expected answer: 9/5
Correct? No
Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)
CodeLlama 34B:
To solve for the variable 'j' in the equation 84 = ((25 * j) + 13), we need to isolate the variable 'j' on one side of the equation. First, we can subtract 13 from both sides of the equation to get: 84 - 13 = (25 * j) This simplifies to: 71 = 25 * j Next, we can divide both sides of the equation by 25 to get: j = 71 / 25 j = 2.84 Therefore, the value of 'j' that satisfies the equation is 2.84.
Expected answer: 71/25
Correct? Yes
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
CodeLlama 34B:
To solve for s, we need to isolate the variable s on one side of the equation. First, we can subtract 91 from both sides of the equation to get: 5 * s = 62 Next, we can divide both sides of the equation by 5 to get: s = 12 Therefore, the value of s is 12.
Expected answer: 62/5
Correct? No
Problem: Solve for g in the following equation: 65 = (22 + (30 * g))
CodeLlama 34B:
To solve for g in the equation 65 = (22 + (30 * g)), we need to isolate the variable g. First, we can subtract 22 from both sides of the equation to get: 43 = (30 * g) Next, we can divide both sides of the equation by 30 to get: g = 43 / 30 g = 1.43 Therefore, the value of g is 1.43.
Expected answer: 43/30
Correct? No
Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)
CodeLlama 34B:
To solve for the value of f, we need to isolate the variable f on one side of the equation. First, we can subtract 10 from both sides of the equation to get: 96 - 10 = (29 * f) + 10 - 10 This simplifies to: 86 = 29 * f Next, we can divide both sides of the equation by 29 to get: f = 86 / 29 f = 3 Therefore, the value of f is 3.
Expected answer: 86/29
Correct? No
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
CodeLlama 34B:
To solve for the variable q in the equation 80 = (19 + (14 * q)), we need to isolate the variable q on one side of the equation. First, we can subtract 19 from both sides of the equation to get: 61 = (14 * q) Next, we can divide both sides of the equation by 14 to get: q = 61 / 14 q = 4 Therefore, the value of q is 4.
Expected answer: 61/14
Correct? No
Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m
CodeLlama 34B:
To solve for the variable 'm' in the linear equation 145 = 95 + 46 * m, we need to isolate the variable 'm' on one side of the equation. First, we can subtract 95 from both sides of the equation to get: 46 * m = 50 Next, we can divide both sides of the equation by 46 to get: m = 50/46 Therefore, the value of 'm' that satisfies the equation is m = 1.087.
Expected answer: 25/23
Correct? No
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
CodeLlama 34B:
To solve for the value of 'i' in the equation 68 = 13 + 6 * i, we need to isolate the variable 'i' on one side of the equation. First, we can subtract 13 from both sides of the equation to get: 68 - 13 = 6 * i This simplifies to: 55 = 6 * i Next, we can divide both sides of the equation by 6 to get: 9 = i Therefore, the value of 'i' is 9.
Expected answer: 55/6
Correct? No
Problem: Solve the following equation for the value of h: 25 = ((74 * h) - 61)
CodeLlama 34B:
To solve for the value of h, we need to isolate the variable h on one side of the equation. First, we can subtract 61 from both sides of the equation to get: 25 = (74h - 61) - 61 This simplifies to: 25 = 74h - 122 Next, we can add 122 to both sides of the equation to get: 147 = 74h Now, we can divide both sides of the equation by 74 to solve for h: h = 147/74 Therefore, the value of h is 2. ### Answer: 2
Expected answer: 43/37
Correct? No
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
CodeLlama 34B:
To solve for the value of q, we need to isolate the variable q on one side of the equation. First, we can add 30 to both sides of the equation to get: 51 + 30 = (6q) + 30 This simplifies to: 81 = 6q Now, we can divide both sides of the equation by 6 to solve for q: q = 81/6 q = 13 Therefore, the value of q is 13.
Expected answer: 27/2
Correct? No
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
CodeLlama 34B:
To solve for r in the equation 38 = 81 - 36 * r, we can first subtract 36 from both sides of the equation to get: 38 - 36 = 81 - 36 * r This simplifies to: 2 = 45 * r Dividing both sides by 45 gives us: r = 2/45 Therefore, the value of r is 2/45.
Expected answer: 43/36
Correct? No
Problem: Solve the following equation: 90 = (23 + (56 * a))
CodeLlama 34B:
To solve this equation, we need to isolate the variable "a". First, we can rewrite the equation as: 90 = 23 + 56a Next, we can subtract 23 from both sides of the equation to get: 67 = 56a Now, we can divide both sides of the equation by 56 to solve for "a": a = 67/56 Therefore, the value of "a" that satisfies the equation is 1.2.
Expected answer: 67/56
Correct? No
Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h
CodeLlama 34B:
To solve this linear equation for the unknown variable h, we can use the following steps: 1. Subtract 13 from both sides of the equation to get: 30h = 68 2. Divide both sides of the equation by 30 to get: h = 2 Therefore, the value of h is 2.
Expected answer: 34/15
Correct? No
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
CodeLlama 34B:
To solve for the value of m, we need to isolate the variable m on one side of the equation. First, we can subtract 69 from both sides of the equation to get: 160 - 69 = (62m + 69) - 69 This simplifies to: 91 = 62m Now, we can divide both sides of the equation by 62 to solve for m: m = 91/62 Therefore, the value of m is 1.46.
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
CodeLlama 34B:
To solve this equation, we need to isolate the variable q. First, we can subtract 69 from both sides of the equation to get: 28q = 31 Next, we can divide both sides of the equation by 28 to get: q = 31/28 Therefore, the value of q is 31/28.
Expected answer: 31/28
Correct? Yes
Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)
CodeLlama 34B:
To solve this linear equation, we need to isolate the variable w. We can do this by subtracting 94 from both sides of the equation, which gives us: 98w = 192 - 94 98w = 98 Now, we can divide both sides of the equation by 98 to solve for w: w = 98/98 w = 1 Therefore, the value of w is 1.
Expected answer: 1
Correct? Yes
Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y
CodeLlama 34B:
To solve this equation, we can first simplify the right-hand side by multiplying both sides by 33: 40 = 93 - 33y 330 = 930 - 33y 330 + 33y = 930 363 = 930 Now, we can divide both sides by 33 to solve for y: 363/33 = 930/33 10 = 28 So, y = 10.
Expected answer: 53/33
Correct? No
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
CodeLlama 34B:
To solve for the unknown variable u in the linear equation 74 = ((48 * u) - 20), we can first add 20 to both sides of the equation to get: 74 + 20 = (48 * u) This simplifies to: 94 = 48 * u Now, we can divide both sides of the equation by 48 to solve for u: u = 94 / 48 u = 2 Therefore, the value of u is 2.
Expected answer: 47/24
Correct? No
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
CodeLlama 34B:
To solve for the variable f in the equation 13 = ((86 * f) - 76), we need to isolate the variable f. First, we can subtract 76 from both sides of the equation to get: 13 - 76 = (86 * f) - 76 This simplifies to: -63 = 86 * f Next, we can divide both sides of the equation by 86 to get: -63 / 86 = f This simplifies to: f = -0.72 Therefore, the value of f that satisfies the equation is -0.72.
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
CodeLlama 34B:
To solve for c in the equation 122 = (36 + (56 * c)), we need to isolate the variable c. First, we can subtract 36 from both sides of the equation to get: 122 - 36 = (56 * c) This simplifies to: 86 = (56 * c) Next, we can divide both sides of the equation by 56 to get: c = 86 / 56 c = 1.5 Therefore, the value of c is 1.5.
Expected answer: 43/28
Correct? No
Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q
CodeLlama 34B:
To solve for q, we need to isolate the variable q on one side of the equation. First, we can rewrite the equation as: 186 - 99 = 81 * q This simplifies to: 87 = 81 * q Now, we can divide both sides of the equation by 81 to solve for q: q = 87 / 81 q = 1.085 Therefore, the value of q is 1.085.
Expected answer: 29/27
Correct? No
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
CodeLlama 34B:
To solve for 'u' in the equation 120 = ((42 * u) + 77), we need to isolate the variable 'u'. First, we can subtract 77 from both sides of the equation to get: 120 - 77 = (42 * u) + 77 - 77 This simplifies to: 43 = 42 * u Now, we can divide both sides of the equation by 42 to solve for 'u': u = 43 / 42 u = 1 Therefore, the value of 'u' is 1.
Expected answer: 43/42
Correct? No
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
CodeLlama 34B:
To solve this equation, we need to isolate the variable j. First, we can subtract 52 from both sides of the equation to get: 41 = (6 * j) Next, we can divide both sides of the equation by 6 to get: 7 = j Therefore, the value of j is 7.
Expected answer: 17/2
Correct? No
Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))
CodeLlama 34B:
To solve for the value of n, we need to isolate the variable n on one side of the equation. First, we can rewrite the equation as: 56 = 82 - (4 * n) Next, we can add 4n to both sides of the equation to get: 56 + 4n = 82 Now, we can subtract 4n from both sides of the equation to get: 56 - 4n = 82 - 4n Simplifying the equation, we get: 12 = 4n Dividing both sides of the equation by 4, we get: n = 3 Therefore, the value of n is 3.
Expected answer: 13/2
Correct? No
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
CodeLlama 34B:
To solve for m in the equation 77 = 14 + 60 * m, we need to isolate the variable m. First, we can subtract 14 from both sides of the equation to get: 63 = 60 * m Next, we can divide both sides of the equation by 60 to get: m = 63/60 m = 1.05 Therefore, the value of m is 1.05.
Expected answer: 21/20
Correct? Yes
Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e
CodeLlama 34B:
To solve for the variable 'e' in the linear equation 31 = 17 + e, we need to isolate the variable 'e' on one side of the equation. First, we can subtract 17 from both sides of the equation to get: 31 - 17 = e This simplifies to: 14 = e Therefore, the value of 'e' is 14.
Expected answer: 14
Correct? Yes
Problem: Find the value of x that solves the following equation: 2 = 81 - (15 * x)
CodeLlama 34B:
To solve this equation, we need to isolate the variable x. First, we can rewrite the equation as: 2 + (15x) = 81 Next, we can subtract 15x from both sides of the equation to get: 2 = 81 - (15x) Now, we can divide both sides of the equation by 15 to get: x = 5 Therefore, the value of x that solves the equation is 5.
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
CodeLlama 34B:
To solve for the value of e in the equation 177 = 88 + 6 * e, we need to isolate the variable e. First, we can subtract 88 from both sides of the equation to get: 177 - 88 = 6 * e This simplifies to: 89 = 6 * e Next, we can divide both sides of the equation by 6 to get: e = 89 / 6 e = 14.83 Therefore, the value of e is approximately 14.83.
Expected answer: 89/6
Correct? No
Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15
CodeLlama 34B:
To solve this equation, we can subtract 15 from both sides: 95 - 15 = 3r + 15 - 15 This simplifies to: 80 = 3r Now, we can divide both sides by 3 to solve for 'r': 26.67 = r So, the value of 'r' is 26.67.
Expected answer: 80/3
Correct? No
Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))
CodeLlama 34B:
To solve for v, we need to isolate the variable v on one side of the equation. First, we can subtract 70 from both sides of the equation to get: 154 - 70 = (31 * v) This simplifies to: 84 = (31 * v) Next, we can divide both sides of the equation by 31 to get: v = 84 / 31 v = 2.71 Therefore, the value of v is 2.71.
Expected answer: 84/31
Correct? No
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
CodeLlama 34B:
To solve for the value of r in the equation 179 = ((70 * r) + 87), we need to isolate the variable r. First, we can subtract 87 from both sides of the equation to get: 179 - 87 = (70 * r) + 87 - 87 This simplifies to: 92 = 70 * r Next, we can divide both sides of the equation by 70 to get: r = 92 / 70 r = 1.3 / 7 Therefore, the value of r is 1.3/7.
Expected answer: 46/35
Correct? Yes
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
CodeLlama 34B:
To solve this equation, we can first subtract 2 from both sides, which gives us: 91 = (19 * r) Next, we can divide both sides by 19, which gives us: r = 91 / 19 r = 5 Therefore, the value of r is 5.
Expected answer: 91/19
Correct? No
Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))
CodeLlama 34B:
To solve for the value of z, we need to isolate the variable z on one side of the equation. First, we can rewrite the equation as: 67 - (37 * z) = 20 Next, we can add 37z to both sides of the equation to get: 67 = 20 + 37z Subtracting 20 from both sides gives us: 47 = 37z Dividing both sides by 37 gives us: z = 47/37 Therefore, the value of z is 47/37.
Expected answer: 47/37
Correct? Yes
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
CodeLlama 34B:
To solve for m in the equation 65 = ((25 * m) + 15), we need to isolate the variable m. First, we can subtract 15 from both sides of the equation to get: 65 - 15 = (25 * m) + 15 - 15 This simplifies to: 50 = 25 * m Next, we can divide both sides of the equation by 25 to get: m = 50 / 25 m = 2 Therefore, the value of m is 2.
Expected answer: 2
Correct? Yes
Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)
CodeLlama 34B:
To solve for g, we need to isolate the variable g on one side of the equation. First, we can subtract 19 from both sides of the equation to get: 79 - 19 = (6g) + 19 This simplifies to: 60 = 6g Now, we can divide both sides of the equation by 6 to solve for g: g = 60/6 g = 10 Therefore, the value of g is 10.
Expected answer: 10
Correct? Yes
Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)
CodeLlama 34B:
To solve for the variable 'l' in the equation 30 = ((56 * l) - 45), we need to isolate the variable 'l' on one side of the equation. First, we can add 45 to both sides of the equation to get: 30 + 45 = (56 * l) This simplifies to: 75 = 56 * l Now, we can divide both sides of the equation by 56 to solve for 'l': l = 75 / 56 l = 1.33 Therefore, the value of 'l' that satisfies the equation is 1.33.
Expected answer: 75/56
Correct? No
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
CodeLlama 34B:
To solve this equation, we need to isolate the variable j. First, we can subtract 4 from both sides of the equation to get: 53 = 11j Next, we can divide both sides of the equation by 11 to get: j = 53 / 11 j = 4.818181818181818 So, the value of j is approximately 4.818181818181818.
Expected answer: 53/11
Correct? Yes
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
CodeLlama 34B:
To solve this equation, we can first subtract 56 from both sides, which gives us: 34f - 56 = 36 + 56 Combine like terms: 34f = 92 Divide both sides by 34: f = 92/34 f = 2.705882352941176 Therefore, the value of 'f' is 2.705882352941176.
Expected answer: 46/17
Correct? No
Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43
CodeLlama 34B:
To solve this linear equation, we can first isolate the variable 'u' by adding 43 to both sides of the equation. This gives us: 70u = 56 + 43 70u = 99 Next, we can divide both sides of the equation by 70 to solve for 'u': u = 99/70 u = 1.41 Therefore, the value of 'u' is 1.41.
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
CodeLlama 34B:
To solve this equation, we can first subtract 21 from both sides, which gives us: 9x = 46 Next, we can divide both sides by 9, which gives us: x = 5 Therefore, the value of x is 5.
Expected answer: 46/9
Correct? No
Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)
CodeLlama 34B:
To determine the unknown variable "i" in the equation 75 = (58 + 16 * i), we can first simplify the equation by combining the like terms: 75 = 58 + 16 * i Subtracting 58 from both sides gives us: 17 = 16 * i Dividing both sides by 16 gives us: i = 17 / 16 Therefore, the value of "i" is 17 / 16.
Expected answer: 17/16
Correct? Yes
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
CodeLlama 34B:
To solve for x in the equation 111 = (54 + (39 * x)), we need to isolate the variable x. First, we can subtract 54 from both sides of the equation to get: 111 - 54 = (39 * x) This simplifies to: 57 = (39 * x) Next, we can divide both sides of the equation by 39 to get: x = 57 / 39 x = 1.4634146341463414634146341463415 Therefore, the value of x is approximately 1.4634146341463414634146341463415.
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
CodeLlama 34B:
To solve this equation, we need to isolate the variable 'o'. We can do this by subtracting 68 from both sides of the equation, which gives us: 155 - 68 = (26 * o) Subtracting 68 from both sides gives us: 87 = 26 * o Dividing both sides by 26 gives us: o = 87 / 26 o = 3 Therefore, the value of 'o' is 3.
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
CodeLlama 34B:
To solve for p in the equation 7 = ((12 * p) - 17), we need to isolate the variable p. First, we can add 17 to both sides of the equation to get: 7 + 17 = (12 * p) This simplifies to: 24 = 12 * p Now, we can divide both sides of the equation by 12 to get: p = 24 / 12 p = 2 Therefore, the value of p is 2.
Expected answer: 2
Correct? Yes
Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?
CodeLlama 34B:
To solve this problem, we can use the following steps: 1. Subtract 93 from both sides of the equation to get: 55 * b = 70 2. Divide both sides of the equation by 55 to get: b = 70 / 55 b = 1.27 Therefore, the value of the variable 'b' is 1.27.
Expected answer: 14/11
Correct? No
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
CodeLlama 34B:
To solve for the value of 'u' in the equation 62 = (u - 26), we need to isolate the variable 'u' on one side of the equation. First, we can add 26 to both sides of the equation to get: 62 + 26 = u This simplifies to: 88 = u Therefore, the value of 'u' is 88.
Expected answer: 88
Correct? Yes
Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)
CodeLlama 34B:
To solve for the variable a in the equation 179 = ((63 * a) + 93), we need to isolate the variable a. First, we can subtract 93 from both sides of the equation to get: 179 - 93 = (63 * a) + 93 - 93 This simplifies to: 86 = 63 * a Next, we can divide both sides of the equation by 63 to get: a = 86 / 63 a = 1.36 Therefore, the value of a is 1.36.
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
CodeLlama 34B:
To solve for c in the equation 51 = ((27 * c) - 11), we need to isolate the variable c. First, we can add 11 to both sides of the equation to get: 51 + 11 = (27 * c) This simplifies to: 62 = 27 * c Now, we can divide both sides of the equation by 27 to get: c = 62 / 27 c = 2 Therefore, the value of c is 2.
Expected answer: 62/27
Correct? No
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
CodeLlama 34B:
To solve for 'd' in the equation 19 = ((28 * d) - 18), we need to isolate the variable 'd'. First, we can add 18 to both sides of the equation to get: 19 + 18 = (28 * d) This simplifies to: 37 = 28 * d Next, we can divide both sides of the equation by 28 to get: d = 37 / 28 Therefore, the value of 'd' is 1.32.
Expected answer: 37/28
Correct? No
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
CodeLlama 34B:
To solve for the value of e, we need to isolate the variable e on one side of the equation. First, we can subtract 62 from both sides of the equation to get: 159 - 62 = (47e + 62) - 62 This simplifies to: 97 = 47e Now, we can divide both sides of the equation by 47 to solve for e: e = 97/47 e = 2 Therefore, the value of e is 2.
Expected answer: 97/47
Correct? No
Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))
CodeLlama 34B:
To solve for g, we need to isolate the variable g on one side of the equation. First, we can subtract 50 from both sides of the equation to get: 145 - 50 = (91 * g) This simplifies to: 95 = 91 * g Now, we can divide both sides of the equation by 91 to solve for g: g = 95 / 91 g = 1.05 Therefore, the value of g is 1.05.
Expected answer: 95/91
Correct? No
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
CodeLlama 34B:
To solve for the value of l in the equation 123 = ((44 * l) + 73), we need to isolate the variable l. First, we can subtract 73 from both sides of the equation to get: 123 - 73 = (44 * l) + 73 - 73 This simplifies to: 46 = 44 * l Now, we can divide both sides of the equation by 44 to solve for l: l = 46 / 44 l = 1.045 Therefore, the value of l is 1.045.
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
CodeLlama 34B:
To solve this equation, we need to isolate the variable "q" on one side of the equation. First, we can subtract 75 from both sides of the equation to get: 165 - 75 = (19 * q) This simplifies to: 80 = 19 * q Now, we can divide both sides of the equation by 19 to solve for "q": q = 80 / 19 q = 4.21 Therefore, the value of "q" that satisfies the equation is 4.21.
Expected answer: 90/19
Correct? No
Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)
CodeLlama 34B:
To solve this equation, we need to isolate the variable g. We can do this by subtracting 62 from both sides of the equation, which gives us: 149 - 62 = (18g + 62) - 62 This simplifies to: 87 = 18g Now, we can divide both sides of the equation by 18 to solve for g: g = 87 / 18 g = 5 Therefore, the value of g is 5.
Expected answer: 29/6
Correct? No
Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21
CodeLlama 34B:
To solve for the variable d in the equation 84 = 20 * d + 21, we need to isolate the variable d on one side of the equation. First, we can subtract 21 from both sides of the equation to get: 84 - 21 = 20 * d + 21 - 21 This simplifies to: 63 = 20 * d Next, we can divide both sides of the equation by 20 to get: d = 63 / 20 d = 3 Therefore, the value of d is 3.
Expected answer: 63/20
Correct? No
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
CodeLlama 34B:
To solve this equation, we need to isolate the variable g. We can do this by subtracting 50 from both sides of the equation, which gives us: 61 - 50 = (6 * g) Subtracting 50 from both sides gives us: 11 = (6 * g) Dividing both sides by 6 gives us: g = 11 / 6 g = 1.83 Therefore, the value of g is 1.83.
Expected answer: 11/6
Correct? No
Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)
CodeLlama 34B:
To solve for v, we need to isolate the variable v on one side of the equation. First, we can subtract 76 from both sides of the equation to get: 126 - 76 = (21v + 76) - 76 This simplifies to: 50 = 21v Next, we can divide both sides of the equation by 21 to get: v = 50/21 Therefore, the value of v is 23.81.
Expected answer: 50/21
Correct? No
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
CodeLlama 34B:
To solve for g, we need to isolate the variable g on one side of the equation. First, we can subtract 24 from both sides of the equation to get: 74 = (91g - 24) - 24 This simplifies to: 74 = 91g - 48 Next, we can divide both sides of the equation by 91 to get: g = (74 + 48) / 91 This simplifies to: g = 122 / 91 Therefore, the value of g is 122/91.
Expected answer: 14/13
Correct? No