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 7B:
To solve for u in the equation 122 = 92 + 28 * u, we can subtract 92 from both sides of the equation, which gives us: 122 - 92 = 28 * u This simplifies to: 20 = 28 * u Dividing both sides of the equation by 28 gives us: u = 20/28 u = 0.7142857142857143 Therefore, the value of u is 0.7142857142857143.
Expected answer: 15/14
Correct? No
Problem: Solve the following equation for i: 42 = ((35 * i) - 34)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 35: 42 = 35(i) - 34 Now, we can add 34 to both sides to get: 42 + 34 = 35(i) Now, we can divide both sides by 35 to solve for i: i = 42 + 34 / 35 i = 42 + 1.1 i = 43.1 Therefore, the value of i is 43.1.
Expected answer: 76/35
Correct? No
Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r
CodeLlama 7B:
To solve this equation, we can subtract 6r from both sides: 94 = 41 + 6r Subtracting 6r from both sides gives us: 88 = 41 Subtracting 41 from both sides gives us: 47 = 0 Since 47 is not equal to 0, the equation is not true. Therefore, there is no value of r that makes the equation true.
Expected answer: 53/6
Correct? No
Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)
CodeLlama 7B:
To solve for "i" in the equation 158 = ((19 * i) + 94), we can first simplify the equation by multiplying both sides by 19 to get: 158 = 19i + 94 Now, we can subtract 94 from both sides to get: 64 = 19i Next, we can divide both sides by 19 to solve for "i": 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 7B:
To solve for 'q' in the equation 134 = ((30 * q) + 54), we can first simplify the equation by multiplying both sides by 30 to get: 30 * q + 54 = 134 Next, we can subtract 54 from both sides to get: 30 * q = 80 Finally, we can divide both sides 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 7B:
To solve this equation, we can subtract 27 from both sides: 94 - 27 = y This gives us: 67 = y 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 23: 9 = 23h - 70 Next, we can add 70 to both sides to get: 9 + 70 = 23h Now, we can simplify the right-hand side by combining the like terms: 9 + 70 = 89 So, the value of h is: h = 89 / 23 h = 3 Therefore, the value of h is 3.
Expected answer: 79/23
Correct? No
Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26
CodeLlama 7B:
To solve this equation, we can subtract 26 from both sides to get: 66 = 33 * t Next, we can divide both sides by 33 to get: t = 66 / 33 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 7B:
To solve this equation, we can start by isolating the variable e. We can do this by subtracting 29 from both sides of the equation, which gives us: 123 - 29 = 123 - 29 123 = 94 Now, we can divide both sides of the equation by 15 to find the value of e: 94 / 15 = e 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 7B:
To solve this equation, we can first simplify the left-hand side of the equation: 16 = 75k - 80 Next, we can add 80 to both sides of the equation: 16 + 80 = 75k Now, we can solve for k by adding 16 to both sides of the equation: 80 = 75k Now, we can divide both sides of the equation by 75: k = 80/75 Therefore, the value of k is 80/75, which is approximately 1.13.
Expected answer: 32/25
Correct? No
Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)
CodeLlama 7B:
To solve for q in the equation 131 = ((5 * q) + 89), we can first simplify the equation by combining like terms: 131 = 5q + 89 Next, we can subtract 89 from both sides of the equation to get: 42 = 5q Now, we can divide both sides of the equation by 5 to solve for q: q = 42/5 Therefore, the value of q is 8.
Expected answer: 42/5
Correct? Yes
Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)
CodeLlama 7B:
To find the value of p that satisfies the equation 147 = ((38 * p) + 56), we can start by multiplying both sides of the equation by 38 to get rid of the parentheses. 147 = 38p + 56 Now, we can subtract 56 from both sides of the equation to get: 91 = 38p Next, we can divide both sides of the equation by 38 to solve for p: p = 91/38 p = 2 Therefore, the value of p that satisfies the equation is 2.
Expected answer: 91/38
Correct? No
Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23
CodeLlama 7B:
To solve this equation, we can subtract 23 from both sides to get: 76 - 23 = 42 * j This simplifies to: 53 = 42 * j Dividing both sides by 42 gives us: j = 53 / 42 j = 1.32 So, the value of 'j' is 1.32.
Expected answer: 53/42
Correct? No
Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l
CodeLlama 7B:
To solve this equation, we can start by using the distributive property to multiply 25 by l: 138 = 43 + 25 * l = 43 + 625 * l Now, we can subtract 43 from both sides of the equation: 138 - 43 = 625 * l This gives us: 95 = 625 * l Next, we can divide both sides of the equation by 625: 95/625 = l This gives us: l = 95/625 Finally, we can simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator: l = 95/625 = 1/7 Therefore, the value of 'l' is 1/7.
Expected answer: 19/5
Correct? No
Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)
CodeLlama 7B:
To solve this equation, we can start by isolating the variable w. We can do this by subtracting 35 from both sides of the equation, which gives us: 80 = (24w + 35) - 35 This simplifies to: 80 = 24w Now, we can divide both sides of the equation by 24 to solve for w: w = 80/24 w = 3 Therefore, the value of w is 3.
Expected answer: 15/8
Correct? No
Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))
CodeLlama 7B:
To solve this equation, we can first simplify the right-hand side of the equation by multiplying both sides by 14: 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 7B:
To solve this equation, we can divide both sides by 88: 110 = 12 + 88y 110/88 = 12 + y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 110/88 - 12 = y 11
Expected answer: 49/44
Correct? No
Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80
CodeLlama 7B:
To solve this equation, we can subtract 80 from both sides: 179 - 80 = 82s + 80 - 80 This simplifies the equation to: 99 = 82s Now, we can divide both sides by 82 to solve for s: s = 99/82 s = 1.17 Therefore, the value of s is 1.17.
Expected answer: 99/82
Correct? No
Problem: Solve the following equation for m: 129 = 26 * m + 66
CodeLlama 7B:
To solve this equation, we can subtract 66 from both sides: 129 - 66 = 26 * m + 66 - 66 This simplifies to: 63 = 26 * m Now, we can divide both sides by 26: 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 27: 82 = 27(q-1) Now, we can isolate the variable q by adding 17 to both sides: 82 + 17 = 27q Now, we can divide both sides by 27 to solve for q: q = 82/27 + 17/27 q = 10 Therefore, the value of q is 10.
Expected answer: 11/3
Correct? No
Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))
CodeLlama 7B:
To solve this equation, we can first simplify the right-hand side by combining the like terms: 141 = 64 + (22 * k) Next, we can subtract 64 from both sides to get: 77 = 22 * k Now, we can divide both sides by 22 to solve for k: k = 77 / 22 k = 3 Therefore, the value of k is 3.
Expected answer: 7/2
Correct? No
Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v
CodeLlama 7B:
To solve this linear equation, we can use the formula: y = mx + b where y is the dependent variable (in this case, 175), x is the independent variable (in this case, v), and m is the slope (in this case, 45). First, we can rewrite the equation as: 175 = 91 + 45v Next, we can isolate the variable v by subtracting 91 from both sides of the equation: 175 - 91 = 45v Now, we can divide both sides of the equation by 45 to solve for v: v = (175 - 91) / 45 v = 84 / 45 v = 2 Therefore, the value of v is 2.
Expected answer: 28/15
Correct? No
Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 3 to get: 150 = (63k - 18) Next, we can add 18 to both sides to get: 168 = 63k Now, we can divide both sides by 63 to solve for k: k = 168/63 k = 2.71 Therefore, the value of k is 2.71.
Expected answer: 68/63
Correct? No
Problem: Solve the following equation for l: 65 = ((8 * l) - 10)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 8: 65 = 8l - 10 Next, we can add 10 to both sides: 75 = 8l Now, we can divide both sides by 8: l = 10 Therefore, the value of l is 10.
Expected answer: 75/8
Correct? No
Problem: Solve the following equation: 5 = ((10 * u) - 34)
CodeLlama 7B:
To solve this equation, we need to isolate the variable "u" on one side of the equation. First, we can simplify the left-hand side of the equation by multiplying both sides by 10: 5 = (10 * u) - 34 5 = 10u - 34 Next, we can add 34 to both sides of the equation to get: 5 = 10u Now, we can divide both sides of the equation by 10 to solve for u: u = 5/10 Therefore, the value of u is 5/10.
Expected answer: 39/10
Correct? No
Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61
CodeLlama 7B:
To solve this problem, we can subtract 61 from both sides of the equation to get: 91 - 61 = 9a This simplifies to: 20 = 9a Dividing both sides by 9 gives us: a = 20/9 a = 2 Therefore, the value of 'a' is 2.
Expected answer: 10/3
Correct? No
Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61
CodeLlama 7B:
To solve this equation, we can subtract 61 from both sides: 157 - 61 = 53 * i + 61 - 61 This simplifies to: 96 = 53 * i Now, we can divide both sides by 53 to solve for i: i = 96 / 53 i = 1.8 Therefore, the value of i is 1.8.
Expected answer: 96/53
Correct? No
Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 24: 71 = 24q + 14 Next, we can subtract 14 from both sides to get: 57 = 24q Now, we can divide both sides by 24 to solve for q: q = 57/24 q = 3 Therefore, the value of q is 3.
Expected answer: 19/8
Correct? No
Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i
CodeLlama 7B:
To solve this equation, we can subtract 96 from both sides: 163 - 96 = 14 * i This gives us: 77 = 14 * i Now, we can divide both sides by 14: 5.43 = i So, the value of i is 5.43.
Expected answer: 67/14
Correct? No
Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 70 to get: 3950 = 70e - 23 Next, we can add 23 to both sides to get: 3973 = 70e Now, we can divide both sides by 70 to solve for e: e = 3973/70 e = 59.14 Therefore, the value of e is approximately 59.14.
Expected answer: 41/35
Correct? No
Problem: Solve the following linear equation for o: 147 = 36 * o + 74
CodeLlama 7B:
To solve this equation, we can subtract 74 from both sides: 147 - 74 = 36 * o This simplifies to: 73 = 36 * o Next, we can divide both sides by 36: 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 7B:
To solve this equation, we need to isolate the variable d on one side of the equation. We can do this by first subtracting 13d from both sides of the equation: 71 = 93 - (13 * d) 71 - 13d = 93 Now, we can divide both sides of the equation by 13 to solve for d: d = (71 - 93) / 13 d = (-22) / 13 d = -1.64 So, the value of d is -1.64.
Expected answer: 22/13
Correct? No
Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n
CodeLlama 7B:
To solve this equation, we can start by subtracting 64 from both sides: 118 - 64 = 6 * n This gives us: 54 = 6 * n Now, we can divide both sides by 6 to solve for n: 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 7B:
To solve this equation, we can start by isolating the variable 'd' on one side of the equation. We can do this by adding 7 to both sides of the equation, which gives us: 61 = 5d - 7 + 7 61 = 5d Now, we can divide both sides of the equation by 5 to solve for 'd': d = 61/5 d = 12 Therefore, the value of 'd' is 12.
Expected answer: 68/5
Correct? No
Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 8: 79 = 8z - 18 Next, we can add 18 to both sides: 97 = 8z Now, we can divide both sides by 8 to solve for z: z = 97/8 Therefore, the value of z is 12.
Expected answer: 97/8
Correct? Yes
Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by combining the like terms: 129 = 2z + 63 Next, we can subtract 63 from both sides of the equation to get: 66 = 2z Now, we can divide both sides of the equation by 2 to solve for z: z = 33 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 7B:
To solve this equation, we can start by isolating the variable e. We can do this by first subtracting 29 from both sides of the equation, which gives us: 127 = 32e + 29 Next, we can subtract 29 from both sides of the equation again, which gives us: 127 - 29 = 32e Now, we can divide both sides of the equation by 32, which gives us: e = (127 - 29) / 32 e = 94 / 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 50: 30 = 50(x) - 35 Next, we can add 35 to both sides of the equation: 30 + 35 = 50(x) Now, we can simplify the right-hand side by combining the like terms: 65 = 50(x) Next, we can divide both sides of the equation by 50 to solve for x: x = 65/50 Therefore, the value of x is 1.2.
Expected answer: 13/10
Correct? No
Problem: Solve the following equation for x: 66 = 9 + 10 * x
CodeLlama 7B:
To solve this equation, we can first subtract 9 from both sides to get: 57 = 10x Next, we can divide both sides by 10 to get: 5.7 = x So, 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 38: 3803 = (38a + 51) Next, we can subtract 51 from both sides to get: 3752 = 38a Now, we can divide both sides by 38 to solve for a: a = 3752 / 38 a = 96 Therefore, the value of the unknown variable a is 96.
Expected answer: 26/19
Correct? No
Problem: Determine the value of f in the following equation: 105 = 28 * f + 8
CodeLlama 7B:
To solve for f in the equation 105 = 28 * f + 8, we can subtract 8 from both sides of the equation: 105 - 8 = 28 * f + 8 - 8 This simplifies to: 97 = 28 * f Next, we can divide both sides of the equation by 28: 3 = f Therefore, the value of f is 3.
Expected answer: 97/28
Correct? No
Problem: Solve the linear equation for u: 12 = 63 - 50 * u
CodeLlama 7B:
To solve for u in the linear equation 12 = 63 - 50 * u, we can first simplify the equation by combining the like terms: 12 = 63 - 50u Next, we can divide both sides of the equation by 50 to eliminate the variable u: 12/50 = 63/50 - u Now, we can simplify the equation by combining the like terms: 2.4 = 1.2 - u Finally, we can solve for u by subtracting 1.2 from both sides of the equation: u = 0.2 Therefore, the value of u is 0.2.
Expected answer: 51/50
Correct? No
Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)
CodeLlama 7B:
To solve for the value of 'b' in the equation 60 = 42 + (10 * b), we can subtract 42 from both sides of the equation: 60 - 42 = 10 * b This equation is now in the form of an equation involving multiplication, which can be solved by dividing both sides of the equation by 10: 60/10 - 42/10 = b This simplifies to: 6 - 4.2 = b Solving for b, we get: b = 6 - 4.2 b = 1.8 Therefore, the value of 'b' is 1.8.
Expected answer: 9/5
Correct? Yes
Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 25: 84 = 25(j) + 13 Now, we can subtract 13 from both sides to get: 61 = 25(j) Next, we can divide both sides by 25 to solve for j: j = 61/25 Therefore, the value of j is 2.
Expected answer: 71/25
Correct? No
Problem: Solve the following linear equation for s: 153 = 91 + 5 * s
CodeLlama 7B:
To solve for s in the linear equation 153 = 91 + 5s, we can subtract 91 from both sides of the equation: 153 - 91 = 5s This equation is now in the form of a linear equation, where the variable s is on one side of the equation and the constant 5 is on the other side. To solve for s, we can divide both sides of the equation by 5: s = 153 - 91 / 5 Simplifying the fraction, we get: s = 36 Therefore, the value of s is 36.
Expected answer: 62/5
Correct? No
Problem: Solve for g in the following equation: 65 = (22 + (30 * g))
CodeLlama 7B:
To solve for g in the equation 65 = (22 + (30 * g)), we can start by isolating the variable g. First, we can simplify the equation by combining the like terms: 65 = 22 + (30 * g) Next, we can subtract 22 from both sides of the equation to get: 43 = 30 * g 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 29: 96 = 29(f + 10) Now, we can isolate the variable f by subtracting 10 from both sides: 96 - 10 = 29(f) Now, we can divide both sides by 29: f = 96/29 - 10 f = 35 - 10 f = 25 Therefore, the value of f is 25.
Expected answer: 86/29
Correct? No
Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))
CodeLlama 7B:
To solve for q in the equation 80 = (19 + (14 * q)), we can first simplify the right-hand side of the equation by multiplying both sides by 14: 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 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 7B:
To solve this equation, we can start by isolating the variable 'm' on one side of the equation. We can do this by dividing both sides of the equation by 46, since 46 is the coefficient of the variable 'm' in the equation. 145 = 95 + 46 * m 46 = 95 + 46 * m 46 - 95 = 46 * m -49 = 46 * m m = -49 / 46 m = -1 Therefore, the value of m is -1.
Expected answer: 25/23
Correct? No
Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i
CodeLlama 7B:
To solve this equation, we can subtract 13 from both sides: 68 - 13 = 6 * i This gives us: 55 = 6 * i Now, we can divide both sides by 6: 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 74: 25 = 74(h) - 61 Next, we can add 61 to both sides: 25 + 61 = 74(h) Now, we can divide both sides by 74: (25 + 61) / 74 = h Simplifying, we get: 76 / 74 = h Now, we can divide both sides by 74 to solve for h: h = 76 / 74 h = 1.0625 Therefore, the value of h is 1.0625.
Expected answer: 43/37
Correct? No
Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 6: 306 = (6q) - 30 Next, we can add 30 to both sides to get: 336 = 6q Now, we can divide both sides by 6 to solve for q: q = 336/6 q = 56 Therefore, the value of q is 56.
Expected answer: 27/2
Correct? No
Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r
CodeLlama 7B:
To solve for r, we can first divide both sides of the equation by 36: 38/36 = 81/36 - r This simplifies to: 1 = 81/36 - r/36 Next, we can multiply both sides of the equation by 36: 36 = 81 - 36r This simplifies to: 36 = 81 - 36r Now, we can subtract 36 from both sides of the equation: -25 = -36r This simplifies to: r = -25/36 Therefore, the value of r is -25/36.
Expected answer: 43/36
Correct? No
Problem: Solve the following equation: 90 = (23 + (56 * a))
CodeLlama 7B:
To solve this equation, we need to isolate the variable "a" on one side of the equation. First, we can simplify the right-hand side of the equation by multiplying both sides by 23: 90 = (23 + (56 * a)) * 23 90 = 23^2 + (56 * a) * 23 90 = 23^2 + 1296 * a Now, we can subtract 23^2 from both sides of the equation to get: 90 - 23^2 = 1296 * a -147 = 1296 * a Now, we can divide both sides of the equation by 1296 to get: a = -147 / 1296 Therefore, the value of "a" that satisfies the equation is -147 / 1296.
Expected answer: 67/56
Correct? No
Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h
CodeLlama 7B:
To solve for h, we can divide both sides of the equation by 30: 81 = 13 + 30 * h 81/30 = 13 + 30 * h 1 = 13/30 + h/30 h/30 = 12/30 h = 36 Therefore, the value of h is 36.
Expected answer: 34/15
Correct? No
Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 62: 160 = 62(m + 1) Now, we can subtract 62 from both sides to get: 62 = m + 1 Subtracting 1 from both sides gives us: 61 = m Therefore, the value of m is 61.
Expected answer: 91/62
Correct? No
Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q
CodeLlama 7B:
To solve this equation, we can start by isolating the variable q. We can do this by dividing both sides of the equation by 28, which gives us: q = 100 / 28 - 69 / 28 Simplifying this expression, we get: q = 4 Therefore, the value of q is 4.
Expected answer: 31/28
Correct? No
Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 98: 98(192) = 98((98 * w) + 94) This simplifies to: 192,000 = 98,000 + 94,000 Subtracting 98,000 from both sides gives us: 94,000 = 94,000 So, 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 7B:
To solve this equation, we can start by isolating the variable y. We can do this by multiplying both sides of the equation by 33, which gives us: 33y = 93 - 40 Next, we can subtract 40 from both sides of the equation, which gives us: 33y = 53 Now, we can divide both sides of the equation by 33, which gives us: y = 1 Therefore, the value of y is 1.
Expected answer: 53/33
Correct? No
Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)
CodeLlama 7B:
To solve for the unknown variable u in the linear equation 74 = ((48 * u) - 20), we can first simplify the equation by multiplying both sides by 48 to get: 74 = (48 * u) - 20 Next, we can add 20 to both sides of the equation to get: 74 = 48 * u Now, we can divide both sides of the equation by 48 to solve for u: u = 74 / 48 Therefore, the value of u is 1.67.
Expected answer: 47/24
Correct? No
Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 86: 13 = 86(f) - 76 Next, we can add 76 to both sides to get: 13 + 76 = 86(f) Now, we can divide both sides by 86 to solve for f: f = 13 + 76 / 86 Simplifying, we get: f = 23 / 86 So, the value of f is 23/86.
Expected answer: 89/86
Correct? No
Problem: Solve the following equation for c: 122 = (36 + (56 * c))
CodeLlama 7B:
To solve for c in the equation 122 = (36 + (56 * c)), we can first simplify the equation by combining the like terms: 122 = 36 + (56 * c) Next, we can subtract 36 from both sides of the equation to get: 122 - 36 = 56 * c Now, we can divide both sides of the equation by 56 to solve for c: 122/56 = c c = 122/56 Therefore, the value of c is 122/56.
Expected answer: 43/28
Correct? No
Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q
CodeLlama 7B:
To solve this equation, we can start by isolating the variable q. We can do this by dividing both sides of the equation by 81, since 81 is the coefficient of q in the equation. 186 = 99 + 81 * q 81 = 99 + 81 * q -10 = 81 * q q = -10 / 81 q = -0.12 Therefore, the value of q is -0.12.
Expected answer: 29/27
Correct? No
Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)
CodeLlama 7B:
To find the value of 'u' in the equation 120 = ((42 * u) + 77), we can start by isolating the variable 'u' on one side of the equation. First, we can subtract 77 from both sides of the equation to get: 120 - 77 = (42 * u) Next, we can divide both sides of the equation by 42 to get: 3 = u Therefore, the value of 'u' is 3.
Expected answer: 43/42
Correct? No
Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))
CodeLlama 7B:
To solve this equation, we can start by isolating the variable j. We can do this by subtracting 52 from both sides of the equation, which gives us: 103 - 52 = (6 * j) This equation is now in the form of an equation involving a linear expression and a constant. We can solve for j by dividing both sides of the equation by 6, which gives us: j = (103 - 52) / 6 j = 41 / 6 j = 7 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 7B:
To solve this equation, we can first simplify the right-hand side of the equation by combining the like terms: 56 = 82 - (4 * n) Next, we can subtract 4n from both sides of the equation to isolate n: 52 = 4n Now, we can divide both sides of the equation by 4 to solve for n: n = 52/4 n = 13 Therefore, the value of n is 13.
Expected answer: 13/2
Correct? No
Problem: Solve the following linear equation for m: 77 = 14 + 60 * m
CodeLlama 7B:
To solve for m in the linear equation 77 = 14 + 60 * m, we can use the fact that 60m = 77 - 14. 60m = 77 - 14 60m = 63 Now, we can divide both sides of the equation by 60 to solve for m: 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 7B:
To solve this equation, we can subtract 17 from both sides: 31 - 17 = e This gives us: 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 7B:
To solve this equation, we can first simplify the right-hand side of the equation: 2 = 81 - (15 * x) 2 = 81 - 15x Next, we can subtract 81 from both sides of the equation: -81 = -15x Now, we can divide both sides of the equation by -15: x = -81/15 Therefore, the value of x that solves the equation is x = -81/15.
Expected answer: 79/15
Correct? No
Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.
CodeLlama 7B:
To solve for the value of e in the equation 177 = 88 + 6 * e, we can start by subtracting 88 from both sides of the equation: 177 - 88 = 88 + 6 * e - 88 This simplifies to: 99 = 6 * e Dividing both sides of the equation by 6 gives us: e = 99/6 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 7B:
To solve this equation, we can subtract 15 from both sides: 95 - 15 = 3*r + 15 - 15 This simplifies to: 80 = 3*r Now, we can divide both sides by 3 to solve for r: 80/3 = r r = 80/3 r = 26 Therefore, the value of 'r' is 26.
Expected answer: 80/3
Correct? No
Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))
CodeLlama 7B:
To solve this equation, we can first simplify the right-hand side by multiplying both sides by 31: 154 = 70 + (31 * v) Next, we can subtract 70 from both sides to get: 84 = 31 * v Now, we can divide both sides by 31 to solve for v: v = 84 / 31 Therefore, the value of v is 2.
Expected answer: 84/31
Correct? No
Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 70: 179 = 11,340 + 87 Now, we can subtract 87 from both sides: 179 - 87 = 11,340 This gives us the equation: 102 = 11,340 Now, we can divide both sides by 11,340: 102/11,340 = 1/11 Finally, we can solve for r by multiplying both sides by 11: r = 1/11 So, the value of r is 1/11.
Expected answer: 46/35
Correct? No
Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)
CodeLlama 7B:
To solve this equation, we can start by isolating the variable r. We can do this by subtracting 2 from both sides of the equation, which gives us: 93 = (19r) Next, we can divide both sides of the equation by 19, which gives us: r = 93/19 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 7B:
To solve this equation, we can first simplify the left-hand side by combining the like terms: 20 = 67 - 37z Next, we can subtract 37z from both sides of the equation to isolate z: 20 - 37z = 67 Now, we can divide both sides of the equation by -37 to solve for z: z = -20/37 Therefore, the value of z is -20/37.
Expected answer: 47/37
Correct? No
Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 25: 65 = 25(m) + 15 Now, we can subtract 15 from both sides: 40 = 25(m) Next, we can divide both sides by 25: m = 40/25 m = 16 Therefore, the value of m is 16.
Expected answer: 2
Correct? No
Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)
CodeLlama 7B:
To solve for g in the linear equation 79 = ((6 * g) + 19), we can first simplify the equation by combining the like terms: 79 = 6g + 19 Next, we can subtract 19 from both sides of the equation to get: 50 = 6g Now, we can divide both sides of the equation by 6 to solve for g: g = 50/6 g = 8 Therefore, the value of g is 8.
Expected answer: 10
Correct? No
Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 56: 30 = 56l - 45 Next, we can add 45 to both sides to eliminate the negative term: 30 = 56l Now, we can divide both sides by 56 to solve for l: l = 30/56 Therefore, the value of l is 30/56.
Expected answer: 75/56
Correct? No
Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)
CodeLlama 7B:
To solve this equation, we can start by isolating the variable j. We can do this by subtracting 4 from both sides of the equation, which gives us: 57 = (11j) + 4 Subtracting 4 from both sides gives us: 53 = 11j Now, we can divide both sides by 11 to solve for j: j = 53/11 j = 4 Therefore, the value of j is 4.
Expected answer: 53/11
Correct? No
Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56
CodeLlama 7B:
To solve this equation, we can first add 56 to both sides to get: 36 + 56 = 34 * f This simplifies to: 92 = 34 * f Next, we can divide both sides by 34 to get: f = 92 / 34 f = 2.8 Therefore, the value of 'f' is 2.8.
Expected answer: 46/17
Correct? No
Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43
CodeLlama 7B:
To solve this equation, we can first add 43 to both sides to get: 56 + 43 = (70 * u) This simplifies to: 99 = 70 * u Dividing both sides by 70 gives us: u = 99 / 70 u = 1.43 Therefore, the value of 'u' is 1.43.
Expected answer: 99/70
Correct? No
Problem: Solve the following equation for the variable x: 67 = 21 + 9*x
CodeLlama 7B:
To solve this equation, we can start by subtracting 21 from both sides: 67 - 21 = 9*x This gives us: 46 = 9*x Next, we can divide both sides by 9: 46/9 = x This gives us: x = 5 So, 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 7B:
To determine the unknown variable in the equation 75 = (58 + 16 * i), we need to isolate the variable i. First, we can simplify the equation by combining the like terms: 75 = 58 + 16 * i Next, we can subtract 58 from both sides of the equation to get: 17 = 16 * i Now, we can divide both sides of the equation by 16 to get: i = 17/16 Therefore, the unknown variable in the equation is i, and its value is 17/16.
Expected answer: 17/16
Correct? Yes
Problem: Solve for x in the following equation: 111 = (54 + (39 * x))
CodeLlama 7B:
To solve for x in the equation 111 = (54 + (39 * x)), we can start by isolating the variable x. First, we can simplify the right-hand side of the equation by combining the like terms: 111 = 54 + (39 * x) Next, we can subtract 54 from both sides of the equation to get: 57 = 39 * x Now, we can divide both sides of the equation by 39 to solve for x: x = 57 / 39 x = 1.5 Therefore, the value of x is 1.5.
Expected answer: 19/13
Correct? No
Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)
CodeLlama 7B:
To solve this equation, we can start by distributing the multiplication inside the parentheses: 155 = (26o + 68) Next, we can simplify the equation by combining like terms: 155 = 26o + 68 Now, we can solve for 'o' by subtracting 68 from both sides of the equation: 155 - 68 = 26o Now, we can divide both sides of the equation by 26: o = (155 - 68) / 26 o = 87 / 26 o = 3.307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307
Expected answer: 87/26
Correct? No
Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)
CodeLlama 7B:
To solve for p in the equation 7 = ((12 * p) - 17), we can first simplify the equation by multiplying both sides by 12 to get: 72 = (12 * p) - 17 Next, we can add 17 to both sides of the equation to get: 72 + 17 = 12 * p Now, we can simplify the right-hand side of the equation by multiplying both sides by 12 to get: 89 = 12 * p Now, we can divide both sides of the equation by 12 to solve for p: p = 89 / 12 p = 7 Therefore, the value of p is 7.
Expected answer: 2
Correct? No
Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?
CodeLlama 7B:
To solve this problem, we need to isolate the variable 'b' on one side of the equation. We can do this by multiplying both sides of the equation by 55, which gives us: 163 = 93 + 55b Next, we can subtract 93 from both sides of the equation to get: 70 = 55b Now, we can divide both sides of the equation by 55 to solve for b: b = 70/55 b = 1.26 Therefore, the value of the variable 'b' is 1.26.
Expected answer: 14/11
Correct? No
Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)
CodeLlama 7B:
To solve this equation, we can add 26 to both sides: 62 + 26 = (u - 26) + 26 This simplifies to: 88 = u So, 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 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 3: 179 * 3 = (63 * a) + 93 * 3 Now, we can simplify the right-hand side by combining like terms: 179 * 3 = (63 * a) + 279 Now, we can subtract 279 from both sides: 179 * 3 - 279 = (63 * a) Now, we can divide both sides by 3: 53 = 63 * a Now, we can divide both sides by 63: a = 53 / 63 a = 0.82 Therefore, the value of a is 0.82.
Expected answer: 86/63
Correct? No
Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)
CodeLlama 7B:
To find the value of c in the equation 51 = ((27 * c) - 11), we can start by multiplying both sides of the equation by 27 to get: 51 = (27c - 11) Next, we can add 11 to both sides of the equation to get: 68 = 27c Now, we can divide both sides of the equation by 27 to solve for c: c = 68/27 c = 2 Therefore, the value of c in the equation 51 = ((27 * c) - 11) is 2.
Expected answer: 62/27
Correct? No
Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 28: 19 = 28d - 18 Next, we can add 18 to both sides: 19 = 28d Now, we can divide both sides by 28: d = 19/28 Therefore, the value of d is 19/28.
Expected answer: 37/28
Correct? No
Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)
CodeLlama 7B:
To solve this equation, we can start by isolating the variable e. We can do this by subtracting 62 from both sides of the equation, which gives us: 159 - 62 = 97 Next, we can divide both sides of the equation by 47, which gives us: 97 / 47 = e Now, we can simplify the right-hand side of the equation by multiplying both sides by 47, which gives us: 97 = 47e Now, we can solve for e by dividing both sides of the equation by 97, which gives us: 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 7B:
To solve this equation, we can first simplify the right-hand side by multiplying both sides by 91: 145 = 50 + (91 * g) Next, we can subtract 50 from both sides to get: 95 = 91 * g Now, we can divide both sides by 91 to solve for g: g = 95 / 91 g = 1.04 Therefore, the value of g is 1.04.
Expected answer: 95/91
Correct? No
Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 44: 123 = 44(l) + 73 Now, we can subtract 73 from both sides to get: 44(l) = 50 Next, we can divide both sides by 44 to solve for l: l = 50/44 l = 1.125 Therefore, the value of l is 1.125.
Expected answer: 25/22
Correct? No
Problem: Solve the following equation: 165 = ((19 * q) + 75)
CodeLlama 7B:
To solve this equation, we can start by isolating the variable q. We can do this by subtracting 75 from both sides of the equation, which gives us: 165 - 75 = (19q) + 75 This simplifies to: 90 = 19q Now, we can divide both sides of the equation by 19 to solve for q: q = 90/19 q = 5 Therefore, the value of q is 5.
Expected answer: 90/19
Correct? No
Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)
CodeLlama 7B:
To solve this equation, we can first isolate the variable g by subtracting 62 from both sides of the equation: 149 - 62 = ((18 * g) + 62) - 62 This simplifies the equation to: 87 = 18 * g Next, 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 7B:
To solve for the variable d in the linear equation 84 = 20 * d + 21, we can subtract 21 from both sides of the equation: 84 - 21 = 20 * d + 21 - 21 This simplifies to: 63 = 20 * d Next, we can divide both sides of the equation by 20 to solve for d: d = 63 / 20 d = 3.15 Therefore, the value of d is 3.15.
Expected answer: 63/20
Correct? Yes
Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))
CodeLlama 7B:
To solve this equation, we can start by isolating the variable g. We can do this by subtracting 50 from both sides of the equation, which gives us: 61 = (6 * g) + 50 Next, we can subtract 6 * g from both sides of the equation, which gives us: 55 = 50 Now, we can divide both sides of the equation by 5 to solve for g: g = 11 Therefore, the value of g is 11.
Expected answer: 11/6
Correct? No
Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)
CodeLlama 7B:
To solve this equation, we can first simplify the left-hand side by multiplying both sides by 21: 21(126) = 21((21 * v) + 76) This simplifies to: 2676 = 21v + 176 Now, we can subtract 176 from both sides to get: 2400 = 21v Dividing both sides by 21 gives us the solution: v = 100 Therefore, the value of the unknown variable v is 100.
Expected answer: 50/21
Correct? No
Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)
CodeLlama 7B:
To solve for g in the linear equation 74 = ((91 * g) - 24), we can first simplify the equation by multiplying both sides by 91 to get: 74 = (91g - 24) Next, we can add 24 to both sides of the equation to get: 95 = 91g Now, we can divide both sides of the equation by 91 to solve for g: g = 95/91 Therefore, the value of g is 95/91.
Expected answer: 14/13
Correct? No