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 13B:
To solve for the variable u in the equation 122 = 92 + 28 * u, we need to isolate the variable u. First, we can subtract 92 from both sides of the equation to get: 122 - 92 = 28 * u Next, we can divide both sides of the equation by 28 to get: 10 = u Therefore, the value of u is 10.
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
CodeLlama 13B:
To solve for i, we can first simplify the equation by combining the like terms: 42 = (35i - 34) Next, we can add 34 to both sides of the equation to get: 76 = 35i Now, we can divide both sides of the equation by 35 to solve for i: 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 13B:
To solve this equation, we need to isolate the variable r. We can do this by subtracting 41 from both sides of the equation, which gives us: 94 - 41 = 6 * r Next, we can divide both sides of the equation by 6 to get: 53 = 6 * r Now, we can divide both sides of the equation by 6 to get: r = 53 / 6 Therefore, the value of r is 53 / 6, which is equal to 9.
Expected answer: 53/6
Correct? Yes
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
CodeLlama 13B:
To solve for "i" in the equation 158 = ((19 * i) + 94), we need to isolate the variable "i" on one side of the equation. First, we can subtract 94 from both sides of the equation to get: 158 - 94 = ((19 * i) + 94) - 94 This simplifies to: 64 = (19 * i) Next, we can divide both sides of the equation by 19 to get: 64 / 19 = i Therefore, the value of "i" is 64 / 19 = 3. ### Answer: 3
Expected answer: 64/19
Correct? No
Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)
CodeLlama 13B:
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) Next, we can divide both sides of the equation by 30 to get: q = 80 / 30 Therefore, the value of 'q' is 80 / 30, which is equal to 2.67.
Expected answer: 8/3
Correct? Yes
Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable y. First, we can subtract 27 from both sides of the equation to get: 94 - 27 = (y + 27) This simplifies to: 67 = y + 27 Next, we can subtract 27 from both sides of the equation again to get: 67 - 27 = y This simplifies to: 30 = y Therefore, the value of y is 30.
Expected answer: 67
Correct? No
Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)
CodeLlama 13B:
To solve this equation, we need to isolate the variable h. First, we can add 70 to both sides of the equation to get: 9 + 70 = ((23 * h) + 70) This simplifies to: 9 + 70 = 23 * h Next, we can divide both sides of the equation by 23 to get: 9 + 70 = h Finally, we can subtract 70 from both sides of the equation to get: h = 9 Therefore, the value of h is 9.
Expected answer: 79/23
Correct? No
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
CodeLlama 13B:
To solve this equation, we can first subtract 26 from both sides to get: 92 - 26 = 33 * t This gives us: 66 = 33 * t Next, we can divide both sides by 33 to get: 2 = t 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 13B:
To solve this equation, we can first subtract 29 from both sides to get: 123 - 29 = (15 * e) Next, we can divide both sides by 15 to get: 94 = e Therefore, the value of e is 94.
Expected answer: 94/15
Correct? No
Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)
CodeLlama 13B:
To solve this equation, we need to isolate the variable 'k'. First, we can add 80 to both sides of the equation to get: 16 + 80 = ((75 * k) - 80) + 80 This simplifies to: 96 = (75 * k) Next, we can divide both sides of the equation by 75 to get: 96 / 75 = k This simplifies to: 1.2 = k Therefore, the value of 'k' is 1.2.
Expected answer: 32/25
Correct? No
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
CodeLlama 13B:
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) Next, we can divide both sides of the equation by 5 to get: 42 / 5 = q Therefore, the value of q is 8.4.
Expected answer: 42/5
Correct? Yes
Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)
CodeLlama 13B:
To solve this equation, we need to isolate the variable p. We can do this by subtracting 56 from both sides of the equation, which gives us: 147 = (38 * p) Next, we can divide both sides of the equation by 38 to get: p = 147 / 38 Now, we can simplify the right-hand side of the equation by dividing both numerator and denominator by 2, which gives us: p = 73 / 2 Therefore, the value of p that satisfies the equation is 73 / 2, or 36.5.
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
CodeLlama 13B:
To solve this equation, we can first subtract 23 from both sides to get: 76 - 23 = 42 * j This gives us: 53 = 42 * j Next, we can divide both sides by 42 to get: 53 / 42 = j This gives us: j = 1 Therefore, the value of 'j' is 1.
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
CodeLlama 13B:
To solve this equation, we need to isolate the variable 'l'. First, we can subtract 43 from both sides of the equation to get: 138 - 43 = 25 * l Next, we can divide both sides of the equation by 25 to get: 5 = l Therefore, the value of 'l' is 5.
Expected answer: 19/5
Correct? No
Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)
CodeLlama 13B:
To solve this equation, we can start by simplifying the expression inside the parentheses. We can do this by multiplying the 24 by w, which gives us 24w. Then, we can add 35 to this result, which gives us 24w + 35. Now, we can set this expression equal to 80, which gives us the equation: 24w + 35 = 80 To solve for w, we can subtract 35 from both sides of the equation, which gives us: 24w = 45 Next, we can divide both sides of the equation by 24, which gives us: w = 45/24 Therefore, the value of w is 45/24, or approximately 1.81. ### Answer: 1.81
Expected answer: 15/8
Correct? No
Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable x. First, we can simplify the equation by combining the like terms: 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 get: 44 / 14 = x Finally, we can simplify the right-hand side of the equation to get: 3 = x 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 13B:
To solve this linear equation, we need to isolate the variable y. First, we can subtract 12 from both sides of the equation to get: 108 = 88y Next, we can divide both sides of the equation by 88 to get: y = 108/88 y = 1.2 Therefore, the value of y is 1.2.
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
CodeLlama 13B:
To solve for the variable 's' in the linear 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 Next, we can divide both sides of the equation by 82 to get: 23 = s Therefore, the value of 's' that satisfies the equation is 23.
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
CodeLlama 13B:
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 This gives us: 63 = 26 * m Next, we can divide both sides of the equation by 26 to get: 63 / 26 = m This gives us: m = 2.38 So, the value of m is 2.38.
Expected answer: 63/26
Correct? No
Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)
CodeLlama 13B:
To solve this equation, we need to isolate the variable q. First, we can rewrite the equation as: 27q - 17 = 82 Next, we can add 17 to both sides of the equation to get: 27q = 109 Now, we can divide both sides of the equation by 27 to get: q = 109/27 Therefore, the value of q is 109/27.
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
CodeLlama 13B:
To solve for the variable k in the linear equation 141 = (64 + (22 * k)), we need to isolate the variable k. First, we can simplify the equation by combining the like terms: 141 = 64 + (22 * k) Next, we can subtract 64 from both sides of the equation to get: 77 = (22 * k) Now, we can divide both sides of the equation by 22 to get: k = 77/22 Therefore, the value of k is 77/22. ### Answer: 77/22
Expected answer: 7/2
Correct? Yes
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable 'v'. First, we can subtract 91 from both sides of the equation to get: 175 - 91 = 45 * v Next, we can divide both sides of the equation by 45 to get: 18 = v Therefore, the value of 'v' is 18.
Expected answer: 28/15
Correct? No
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
CodeLlama 13B:
To solve for the value of k in the equation 50 = ((63 * k) - 18), we need to isolate the variable k. First, we can simplify the equation by combining the like terms: 50 = (63 * k) - 18 Next, we can add 18 to both sides of the equation to get: 78 = (63 * k) Now, we can divide both sides of the equation by 63 to get: k = 78 / 63 Therefore, the value of k is 1.
Expected answer: 68/63
Correct? No
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
CodeLlama 13B:
To solve for l, we can first simplify the equation by combining the like terms: 65 = (8l - 10) Next, we can add 10 to both sides of the equation to get: 75 = 8l Now, we can divide both sides of the equation by 8 to solve for l: l = 75/8 Therefore, l = 9.
Expected answer: 75/8
Correct? Yes
Problem: Solve the following equation: 5 = ((10 * u) - 34)
CodeLlama 13B:
To solve this equation, we need to isolate the variable u. First, we can simplify the equation by combining the like terms: 5 = (10u - 34) Next, we can add 34 to both sides of the equation to get: 39 = 10u Now, we can divide both sides of the equation by 10 to get: u = 3.9 Therefore, the value of u is 3.9.
Expected answer: 39/10
Correct? Yes
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
CodeLlama 13B:
To solve this problem, we can first subtract 61 from both sides of the equation to get: 91 - 61 = 9 * a This simplifies to: 30 = 9 * a Next, we can divide both sides of the equation by 9 to get: 30 / 9 = a This simplifies to: 3 = a 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 13B:
To solve for the variable i in the linear 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 Next, we can divide both sides of the equation by 53 to get: 26 = i Therefore, the value of i is 26.
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
CodeLlama 13B:
To solve this equation, we can first simplify the expression inside the parentheses: (24 * q) + 14 = 24q + 14 Now, we can subtract 14 from both sides of the equation to get: 24q = 57 Next, we can divide both sides of the equation by 24 to get: q = 57/24 Therefore, the value of q is 57/24.
Expected answer: 19/8
Correct? Yes
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
CodeLlama 13B:
To solve this equation, we need to isolate the variable i. First, we can subtract 96 from both sides of the equation to get: 163 - 96 = 14 * i Next, we can divide both sides of the equation by 14 to get: 11 = i Therefore, the value of i is 11.
Expected answer: 67/14
Correct? No
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
CodeLlama 13B:
To solve this equation, we need to isolate the variable e. We can do this by adding 23 to both sides of the equation, which gives us: 59 + 23 = (70 * e) + 23 This simplifies to: 82 = (70 * e) Now, we can divide both sides of the equation by 70 to solve for e: e = 82 / 70 Therefore, the value of e is 1.143.
Expected answer: 41/35
Correct? No
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
CodeLlama 13B:
To solve for o in the linear equation 147 = 36 * o + 74, we need to isolate the variable o. First, we can subtract 74 from both sides of the equation to get: 147 - 74 = 36 * o Next, we can divide both sides of the equation by 36 to get: 11 = o Therefore, the value of o is 11.
Expected answer: 73/36
Correct? No
Problem: Solve the following equation: 71 = 93 - (13 * d)
CodeLlama 13B:
To solve this equation, we need to isolate the variable d. First, we can rewrite the equation as: 71 = 93 - (13 * d) Next, we can subtract 71 from both sides of the equation to get: 0 = 93 - 71 - (13 * d) Now, we can simplify the equation by combining like terms: 0 = 22 - (13 * d) Next, we can divide both sides of the equation by 13 to get: 0 = 22/13 - d Now, we can add 22/13 to both sides of the equation to get: 22/13 = d Finally, we can divide both sides of the equation by 22/13 to get: d = 1 Therefore, the value of d is 1.
Expected answer: 22/13
Correct? No
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
CodeLlama 13B:
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 Next, we can divide both sides of the equation by 6 to get: 17 = n Therefore, the value of n is 17.
Expected answer: 9
Correct? No
Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)
CodeLlama 13B:
To solve this equation, we need to isolate the variable 'd'. First, we can rewrite the equation as: 5d - 7 = 61 Next, we can add 7 to both sides of the equation to get: 5d = 68 Now, we can divide both sides of the equation by 5 to get: d = 68/5 Therefore, the value of 'd' is 13.
Expected answer: 68/5
Correct? Yes
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
CodeLlama 13B:
To solve this equation, we need to isolate the variable z. First, we can rewrite the equation as: 8z - 18 = 79 Next, we can add 18 to both sides of the equation to get: 8z = 97 Now, we can divide both sides of the equation by 8 to get: 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 13B:
To solve this equation, we need to isolate the variable z. First, we can simplify the equation by combining the like terms: 129 = (2z + 63) Next, we can subtract 63 from both sides of the equation to get: 96 = 2z Now, we can divide both sides of the equation by 2 to get: 48 = z Therefore, the value of z is 48.
Expected answer: 33
Correct? No
Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))
CodeLlama 13B:
To solve for e, we can first isolate the variable e by subtracting 29 from both sides of the equation: 127 = (32 * e) Next, we can divide both sides of the equation by 32 to solve for e: e = 127 / 32 Therefore, e = 4.
Expected answer: 49/16
Correct? No
Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)
CodeLlama 13B:
To solve this equation, we need to isolate the variable x. First, we can simplify the equation by combining the like terms: 30 = 50x - 35 Next, we can add 35 to both sides of the equation to get: 65 = 50x 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 13B:
To solve this equation, we need to isolate the variable x. First, we can subtract 9 from both sides of the equation to get: 57 = 10 * x Next, we can divide both sides of the equation by 10 to get: 5.7 = x 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 13B:
To solve this equation, we can first simplify the expression inside the parentheses: (38 * a) + 51 = 38a + 51 Now, we can subtract 51 from both sides of the equation to get: 38a = 52 Now, we can divide both sides of the equation by 38 to get: a = 52 / 38 Therefore, the value of a is 52 / 38, or approximately 1.37. ### Answer: a = 1.37
Expected answer: 26/19
Correct? No
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
CodeLlama 13B:
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 Next, we can divide both sides of the equation by 28 to get: 105/28 - 8/28 = f Now, we can simplify the left-hand side of the equation by combining the fractions: 105/28 = 3.75 So, we have: 3.75 - 8/28 = f Now, we can solve for f by adding 8/28 to both sides of the equation: 3.75 + 8/28 = f Now, we can simplify the right-hand side of the equation by multiplying both sides by 28: 3.75 + 8 = 28f Now, we can solve for f by dividing both sides of the equation by 28: f = 3.75 + 8/28 Now, we can simplify the right-hand side of the equation by dividing both sides by 28: f = 3.75 + 1/3 So, the value of f is 3.75 + 1/3.
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
CodeLlama 13B:
To solve this equation, we need to isolate the variable u. First, we can subtract 63 from both sides of the equation to get: 12 = -50u Next, we can divide both sides of the equation by -50 to get: u = -12/50 Therefore, the value of u is -12/50.
Expected answer: 51/50
Correct? No
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
CodeLlama 13B:
To solve for the value of 'b', we need to isolate the variable 'b' on one side of the equation. We can do this by subtracting 42 from both sides of the equation: 60 - 42 = 10 * b Now, we can divide both sides of the equation by 10 to solve for 'b': 6 = b Therefore, the value of 'b' is 6.
Expected answer: 9/5
Correct? No
Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)
CodeLlama 13B:
To solve for the variable 'j' in the linear equation 84 = ((25 * j) + 13), we can first subtract 13 from both sides of the equation to get: 71 = (25 * j) Next, we can divide both sides of the equation by 25 to get: j = 71/25 Therefore, the value of 'j' is 71/25. ### Answer: 71/25
Expected answer: 71/25
Correct? Yes
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
CodeLlama 13B:
To solve for s, we can first subtract 91 from both sides of the equation: 153 - 91 = 5 * s This gives us: 62 = 5 * s Next, we can divide both sides of the equation by 5 to solve for s: 62 / 5 = s This gives us: 12 = s 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 13B:
To solve for g in the equation 65 = (22 + (30 * g)), we need to isolate the variable g. First, we can simplify the equation by combining the like terms: 65 = 22 + 30g Next, we can subtract 22 from both sides of the equation to get: 43 = 30g Now, we can divide both sides of the equation by 30 to solve for g: 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 13B:
To solve this equation, we can first simplify the expression inside the parentheses by multiplying both sides by 29: 96 = (29 * f) + 10 Next, we can subtract 10 from both sides to get: 86 = 29 * f Now, we can divide both sides by 29 to solve for f: f = 86 / 29 Therefore, the value of f is 86 / 29, or approximately 3.03.
Expected answer: 86/29
Correct? Yes
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
CodeLlama 13B:
To solve for the variable q in the equation 80 = (19 + (14 * q)), we need to isolate the variable q. First, we can simplify the equation by combining the like terms: 80 = 19 + (14 * q) Next, we can subtract 19 from both sides of the equation to get: 61 = 14 * q Now, we can divide both sides of the equation by 14 to solve for q: q = 61 / 14 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 13B:
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: 50 = 46 * m Next, we can divide both sides of the equation by 46 to get: m = 50 / 46 Therefore, the value of 'm' is 50 / 46, which is approximately 1.08.
Expected answer: 25/23
Correct? Yes
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
CodeLlama 13B:
To solve for the value of 'i', we need to isolate the variable 'i' on one side of the equation. We can do this by subtracting 13 from both sides of the equation: 68 - 13 = 6 * i 55 = 6 * i Next, we can divide both sides of the equation by 6 to solve for 'i': 55 / 6 = i 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 13B:
To solve for h, we can first simplify the equation by combining the like terms: 25 = (74 * h) - 61 Next, we can add 61 to both sides of the equation to get: 86 = (74 * h) Now, we can divide both sides of the equation by 74 to get: h = 86 / 74 Therefore, the value of h is 86 / 74, which is approximately 1.13.
Expected answer: 43/37
Correct? Yes
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
CodeLlama 13B:
To solve this equation, we need to isolate the variable q. First, we can simplify the equation by combining the like terms: 51 = (6q - 30) Next, we can add 30 to both sides of the equation to get: 81 = 6q Now, we can divide both sides of the equation by 6 to solve for q: q = 81/6 Therefore, the value of q is 13.
Expected answer: 27/2
Correct? Yes
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
CodeLlama 13B:
To solve for r in the linear equation 38 = 81 - 36 * r, we need to isolate the variable r. First, we can rewrite the equation as: 38 = 81 - 36r Next, we can subtract 81 from both sides of the equation to get: -43 = -36r Now, we can divide both sides of the equation by -36 to get: -43/36 = r Finally, we can simplify the right-hand side of the equation to get: r = 1 Therefore, the value of r is 1.
Expected answer: 43/36
Correct? No
Problem: Solve the following equation: 90 = (23 + (56 * a))
CodeLlama 13B:
To solve this equation, we need to isolate the variable "a". First, we can simplify the equation by combining the like terms: 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" is 1.
Expected answer: 67/56
Correct? Yes
Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable h. We can do this by subtracting 13 from both sides of the equation, which gives us: 81 - 13 = 30 * h Next, we can divide both sides of the equation by 30 to get: 28 = h Therefore, the value of h is 28.
Expected answer: 34/15
Correct? No
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
CodeLlama 13B:
To solve this equation, we need to isolate the variable m. We can do this by subtracting 69 from both sides of the equation, which gives us: 160 - 69 = ((62 * m) + 69) - 69 This simplifies to: 81 = (62 * m) Now, we can divide both sides of the equation by 62 to solve for m: m = 81 / 62 m = 1.30952380952381 Therefore, the value of m is 1.30952380952381.
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
CodeLlama 13B:
To solve this equation, we can first subtract 69 from both sides to get: 100 - 69 = 28 * q This gives us: 31 = 28 * q Next, we can divide both sides by 28 to get: 31/28 = q This gives us: q = 31/28 So, 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 13B:
To solve this linear equation, we can first simplify the expression inside the parentheses: 192 = (98w + 94) Next, we can subtract 94 from both sides of the equation to get: 192 - 94 = 98w Now, we can divide both sides of the equation by 98 to get: 2 = w Therefore, the value of w is 2.
Expected answer: 1
Correct? No
Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y
CodeLlama 13B:
To solve this equation, we need to isolate the variable y. First, we can subtract 33 from both sides of the equation to get: 40 = 93 - 33 * y 40 + 33 = 93 - 33 * y 73 = 93 - 33 * y Next, we can divide both sides of the equation by 33 to get: 73 / 33 = 93 - 33 * y 2 = 93 - 33 * y Now, we can solve for y by subtracting 93 from both sides of the equation: 2 = 93 - 33 * y 2 = 60 - 33 * y Finally, we can divide both sides of the equation by 33 to get: 2 / 33 = 60 - 33 * y 2 / 33 = 60 - 33 * y Therefore, the value of y is 2/33.
Expected answer: 53/33
Correct? No
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
CodeLlama 13B:
To solve for the unknown variable u in the linear equation 74 = ((48 * u) - 20), we can first simplify the equation by combining the like terms: 74 = (48u - 20) Next, we can add 20 to both sides of the equation to get: 94 = 48u Now, we can divide both sides of the equation by 48 to solve for u: u = 94/48 Therefore, the value of u is 94/48, or approximately 1.92.
Expected answer: 47/24
Correct? Yes
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
CodeLlama 13B:
To solve for the variable f in the equation 13 = ((86 * f) - 76), we need to isolate the variable f. First, we can simplify the equation by combining the like terms: 13 = (86 * f - 76) Next, we can add 76 to both sides of the equation to get: 13 + 76 = (86 * f) Now, we can divide both sides of the equation by 86 to get: 13 + 76 / 86 = f Finally, we can simplify the right-hand side of the equation to get: f = 13 + 76 / 86 Therefore, the value of f is 13 + 76 / 86. ### Answer: f = 13 + 76 / 86
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
CodeLlama 13B:
To solve for c, we can first simplify the equation by combining the like terms: 122 = 36 + (56 * c) Subtracting 36 from both sides gives us: 86 = 56 * c Dividing both sides by 56 gives us: c = 86 / 56 c = 1.58 Therefore, the value of c is 1.58.
Expected answer: 43/28
Correct? No
Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q
CodeLlama 13B:
To solve this equation, we need to isolate the variable q. We can do this by subtracting 99 from both sides of the equation, which gives us: 186 - 99 = 81 * q Next, we can divide both sides of the equation by 81 to get: 27 = q Therefore, the value of q is 27.
Expected answer: 29/27
Correct? No
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
CodeLlama 13B:
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) Next, we can divide both sides of the equation by 42 to get: u = 43 / 42 Therefore, the value of 'u' is 43 / 42, or approximately 1.03.
Expected answer: 43/42
Correct? Yes
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
CodeLlama 13B:
To solve this equation, we need to isolate the variable j. First, we can simplify the equation by combining the like terms: 103 = 52 + (6 * j) Next, we can subtract 52 from both sides of the equation to get: 51 = 6 * j Now, we can divide both sides of the equation by 6 to get: j = 51/6 Therefore, the value of j is 8.
Expected answer: 17/2
Correct? Yes
Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))
CodeLlama 13B:
To solve this equation, we need to isolate the variable n. First, we can simplify the equation by subtracting 4n from both sides: 56 = 82 - 4n Next, we can add 4n to both sides: 56 + 4n = 82 Now, we can divide both sides by 4 to solve for n: 14 + n = 20 Finally, we can subtract 14 from both sides to solve for n: n = 6 Therefore, the value of n is 6.
Expected answer: 13/2
Correct? No
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
CodeLlama 13B:
To solve this equation, 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 13B:
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: 14 = e Now, we can divide both sides of the equation by 14 to get: e = 14 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 13B:
To solve this equation, we need to isolate the variable x. First, we can rewrite the equation as: 2 = 81 - 15x Next, we can add 15x to both sides of the equation to get: 17 = 81 - 15x + 15x This simplifies to: 17 = 96 - 15x Now, we can subtract 15x from both sides of the equation to get: 17 - 15x = 96 - 15x This simplifies to: 2 = 81 - 15x Now we have the equation in the form x = (b - a) / (c - a), where a = 15, b = 2, and c = 81. Plugging in these values, we get: x = (2 - 15) / (81 - 15) x = -13 / 66 x = -0.20 Therefore, the value of x that solves the equation is -0.20.
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
CodeLlama 13B:
To solve for the value of e in the equation 177 = 88 + 6 * e, we can first subtract 88 from both sides of the equation to get: 177 - 88 = 6 * e This simplifies to: 99 = 6 * e Next, we can divide both sides of the equation by 6 to get: 99 / 6 = e This simplifies to: 16 = e Therefore, the value of e is 16.
Expected answer: 89/6
Correct? No
Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15
CodeLlama 13B:
To solve this equation, we can first subtract 15 from both sides to get: 95 - 15 = 3*r This simplifies to: 80 = 3*r Next, we can divide both sides by 3 to get: 80/3 = r This simplifies to: 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 13B:
To solve this equation, we need to isolate the variable v. First, we can simplify the equation by combining the like terms: 154 = 70 + (31 * v) Next, we can subtract 70 from both sides of the equation to get: 84 = 31 * v Now, we can divide both sides of the equation by 31 to get: v = 84 / 31 Therefore, the value of v is 84 / 31, which is approximately 2.71.
Expected answer: 84/31
Correct? Yes
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
CodeLlama 13B:
To solve for the value of r in the equation 179 = ((70 * r) + 87), we can first 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 Therefore, the value of r is 92 / 70, which is approximately 1.31.
Expected answer: 46/35
Correct? Yes
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
CodeLlama 13B:
To solve this equation, we can first simplify the expression inside the parentheses by multiplying both sides by 19: 93 = (19 * r) + 2 Now, we can subtract 2 from both sides to get: 91 = 19 * r Next, we can divide both sides by 19 to solve for r: r = 91 / 19 Therefore, the value of r is 91 / 19, or approximately 4.74.
Expected answer: 91/19
Correct? Yes
Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))
CodeLlama 13B:
To solve this equation, we need to isolate the variable z. First, we can subtract 37 from both sides of the equation to get: 20 = 67 - 37z Next, we can add 37 to both sides of the equation to get: 57 = 67 - 37z Now, we can divide both sides of the equation by 37 to get: z = 67/37 - 1 Therefore, the value of z is 67/37 - 1, or approximately 1.64.
Expected answer: 47/37
Correct? No
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
CodeLlama 13B:
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 13B:
To solve for g in the linear equation 79 = ((6 * g) + 19), we can first subtract 19 from both sides of the equation to get: 79 - 19 = ((6 * g) + 19) - 19 This simplifies to: 60 = (6 * g) Dividing both sides of the equation by 6 gives us: 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 13B:
To solve for the variable 'l' in the linear equation 30 = ((56 * l) - 45), we need to isolate the variable 'l' on one side of the equation. First, we can simplify the equation by combining the like terms: 30 = (56 * l) - 45 Next, we can add 45 to both sides of the equation to get: 30 + 45 = (56 * l) Now, we can divide both sides of the equation by 56 to get: 30 + 45 / 56 = l Finally, we can simplify the right-hand side of the equation by dividing both sides by 45/56 to get: l = 30 / 45 Therefore, the value of 'l' is 30 / 45, or 0.6.
Expected answer: 75/56
Correct? No
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
CodeLlama 13B:
To solve this equation, we can start by subtracting 4 from both sides: 57 = ((11 * j) + 4) 53 = (11 * j) Next, we can divide both sides by 11 to solve for j: 53 / 11 = j 4.761904761904762 = j So, the value of j is 4.761904761904762.
Expected answer: 53/11
Correct? No
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
CodeLlama 13B:
To solve this equation, we can first simplify the right-hand side by combining the like terms: 36 = 34 * f - 56 36 = 34f - 56 Next, we can add 56 to both sides of the equation to get: 42 = 34f Now, we can divide both sides of the equation by 34 to get: f = 42/34 Therefore, the value of f is 42/34.
Expected answer: 46/17
Correct? No
Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable 'u'. First, we can rewrite the equation as: 56 = 70u - 43 Next, we can add 43 to both sides of the equation to get: 109 = 70u Now, we can divide both sides of the equation by 70 to get: u = 109/70 Therefore, the value of 'u' is 109/70, or approximately 1.54.
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
CodeLlama 13B:
To solve for x in the equation 67 = 21 + 9*x, we need to isolate the variable x. First, we can subtract 21 from both sides of the equation to get: 67 - 21 = 9*x Next, we can divide both sides of the equation by 9 to get: 7 = x Therefore, the value of x is 7.
Expected answer: 46/9
Correct? No
Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)
CodeLlama 13B:
To solve for the unknown variable i, we can first isolate the variable by subtracting 58 from both sides of the equation: 75 - 58 = (16 * i) Next, we can divide both sides of the equation by 16 to get: 9 = i Therefore, the value of i is 9.
Expected answer: 17/16
Correct? No
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
CodeLlama 13B:
To solve for x in the equation 111 = (54 + (39 * x)), we need to isolate the variable x. First, we can simplify the equation by combining the like terms: 111 = (54 + (39 * x)) 111 = (54 + 39x) Next, we can subtract 54 from both sides of the equation to get: 67 = 39x Now, we can divide both sides of the equation by 39 to solve for x: x = 67 / 39 x = 1.71 Therefore, the value of x is 1.71.
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
CodeLlama 13B:
To solve this equation, we need to isolate the variable 'o'. First, we can subtract 68 from both sides of the equation to get: 155 - 68 = ((26 * o) + 68) - 68 This simplifies to: 87 = (26 * o) Next, we can divide both sides of the equation by 26 to get: 87 / 26 = o This simplifies to: 3.31 = o Therefore, the value of 'o' is 3.31.
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
CodeLlama 13B:
To solve for p in the equation 7 = ((12 * p) - 17), we need to isolate the variable p. First, we can simplify the equation by combining the like terms: 7 = (12 * p) - 17 Next, we can add 17 to both sides of the equation to get: 24 = (12 * p) Now, we can divide both sides of the equation by 12 to get: p = 24/12 Therefore, the value of p is 24/12, or 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?
CodeLlama 13B:
Reasoning: 163 = 93 + 55 * b Subtracting 93 from both sides gives us: 70 = 55 * b Dividing both sides by 55 gives us: b = 70/55 b = 1.22 Therefore, the value of the variable 'b' is 1.22.
Expected answer: 14/11
Correct? No
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable 'u'. First, we can add 26 to both sides of the equation to get: 62 = u Now, we can subtract 26 from both sides of the equation to get: u = 36 Therefore, the value of 'u' is 36.
Expected answer: 88
Correct? No
Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)
CodeLlama 13B:
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: 86 / 63 = a This simplifies to: 1.39 = a Therefore, the value of a is 1.39.
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
CodeLlama 13B:
To solve for c in the equation 51 = ((27 * c) - 11), we need to isolate the variable c. First, we can simplify the equation by combining the like terms: 51 = (27 * c) - 11 Next, we can add 11 to both sides of the equation to get: 62 = (27 * c) Now, we can divide both sides of the equation by 27 to get: c = 62 / 27 Therefore, the value of c is 62 / 27, or approximately 2.26.
Expected answer: 62/27
Correct? Yes
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
CodeLlama 13B:
To solve for 'd' in the equation 19 = ((28 * d) - 18), we need to isolate the variable 'd'. First, we can simplify the equation by combining the like terms: 19 = (28 * d - 18) Next, we can add 18 to both sides of the equation to get: 37 = (28 * d) Now, we can divide both sides of the equation by 28 to get: d = 37/28 Therefore, the value of 'd' is 37/28.
Expected answer: 37/28
Correct? Yes
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
CodeLlama 13B:
To solve this equation, we can first isolate the variable e by subtracting 62 from both sides of the equation: 159 = (47e + 62) - 62 159 = 47e Next, we can divide both sides of the equation by 47 to solve for e: e = 159 / 47 e = 3.37 Therefore, the value of e is approximately 3.37.
Expected answer: 97/47
Correct? No
Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))
CodeLlama 13B:
To solve for the variable g in the linear equation 145 = (50 + (91 * g)), we need to isolate the variable g. First, we can simplify the equation by combining the like terms: 145 = 50 + (91 * g) Next, we can subtract 50 from both sides of the equation to get: 95 = (91 * g) Now, we can divide both sides of the equation by 91 to get: g = 95 / 91 Therefore, the value of g is 95 / 91, or approximately 0.57.
Expected answer: 95/91
Correct? Yes
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
CodeLlama 13B:
To solve this equation, we need to isolate the variable l. We can do this by subtracting 73 from both sides of the equation, which gives us: 123 = (44 * l) Next, we can divide both sides of the equation by 44 to get: l = 123 / 44 Therefore, the value of l is 123 / 44, which is equal to 2.73.
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
CodeLlama 13B:
To solve this equation, we can start by subtracting 75 from both sides: 165 = (19 * q) Next, we can divide both sides by 19 to get: q = 9 So, the value of q is 9.
Expected answer: 90/19
Correct? No
Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)
CodeLlama 13B:
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 = (18g) Now, we can divide both sides of the equation by 18 to solve for g: g = 149/18 Therefore, the value of g is 8.
Expected answer: 29/6
Correct? No
Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable d. We can do this by subtracting 21 from both sides of the equation, which gives us: 84 - 21 = 20 * d Next, we can divide both sides of the equation by 20 to get: 4 = d Therefore, the value of d is 4.
Expected answer: 63/20
Correct? No
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
CodeLlama 13B:
To solve for g, we can first isolate the variable g by subtracting 50 from both sides of the equation: 61 - 50 = 6 * g This gives us: 11 = 6 * g Next, we can divide both sides of the equation by 6 to solve for g: 11 / 6 = g This gives us: 11 / 6 = 11 / 6 Therefore, the value of g is 11 / 6, or 1 1/6.
Expected answer: 11/6
Correct? Yes
Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)
CodeLlama 13B:
To solve this linear equation, we need to isolate the variable v. We can do this by subtracting 76 from both sides of the equation, which gives us: 126 = (21 * v) Next, we can divide both sides of the equation by 21 to solve for v: v = 126 / 21 Therefore, the value of v is 126 / 21, which is equal to 6.
Expected answer: 50/21
Correct? No
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
CodeLlama 13B:
To solve for g in the linear equation 74 = ((91 * g) - 24), we need to isolate the variable g. First, we can simplify the equation by combining the like terms: 74 = (91g - 24) Next, we can add 24 to both sides of the equation to get: 98 = (91g) Now, we can divide both sides of the equation by 91 to solve for g: g = 98/91 Therefore, the value of g is 98/91, or approximately 1.07.
Expected answer: 14/13
Correct? Yes