Problem: Solve the following equation for the variable u: 122 = 92 + 28 * u

Llama 3 8B:

Reasoning: First, we can simplify the right-hand side of the equation by evaluating the multiplication:

122 = 92 + 28 * u
122 = 92 + 28u

Next, we can subtract 92 from both sides of the equation to isolate the term with the variable:

122 - 92 = 28u
30 = 28u

Now, we can divide both sides of the equation by 28 to solve for u:

30 / 28 = u
u = 30/28

### Answer: u = 15/7

Expected answer: 15/14

Correct? No

Problem: Solve the following equation for i: 42 = ((35 * i) - 34)

Llama 3 8B:

Reasoning: To solve for i, we can start by adding 34 to both sides of the equation, which gets rid of the negative term:

42 = ((35 * i) - 34) + 34
42 = 35 * i

Next, we can divide both sides of the equation by 35 to isolate i:

42 / 35 = i
i = 42 / 35

### Answer: i = 6/5

Expected answer: 76/35

Correct? No

Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r

Llama 3 8B:

Reasoning: To solve for r, we can start by evaluating the expression 6 * r.
6 * r = 6r
Now, we can rewrite the equation as:
94 = 41 + 6r
Subtract 41 from both sides:
53 = 6r
Now, divide both sides by 6:
53/6 = r
r = 53/6
r = 8.83 (rounded to two decimal places)
### Answer: r = 8.83

Expected answer: 53/6

Correct? No

Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)

Llama 3 8B:

Reasoning: To solve for "i", we need to isolate the term with "i". We can do this by subtracting 94 from both sides of the equation.

158 - 94 = ((19 * i) + 94) - 94
64 = 19 * i

Next, we can divide both sides of the equation by 19 to solve for "i".

64 / 19 = 19 * i / 19
3.3684210526326 = i

### Answer: 3.3684210526326

Expected answer: 64/19

Correct? No

Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)

Llama 3 8B:

Reasoning: To solve for 'q', we need to isolate the term 'q'. We can do this by subtracting 54 from both sides of the equation, which gives us:

134 - 54 = ((30 * q) + 54) - 54

This simplifies to:

80 = 30 * q

Next, we can divide both sides of the equation by 30, which gives us:

80/30 = (30 * q) / 30

This simplifies to:

2.67 = q

### Answer: q = 2.67

Expected answer: 8/3

Correct? No

Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)

Llama 3 8B:

To solve for y, we can subtract 27 from both sides of the equation:

94 = (27 + y)

Subtracting 27 from both sides:

94 - 27 = y

This simplifies to:

67 = y

### Answer: 67

Expected answer: 67

Correct? Yes

Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)

Llama 3 8B:

Reasoning: To solve for h, we can start by adding 70 to both sides of the equation, which results in:

9 + 70 = ((23 * h) - 70) + 70

This simplifies to:

79 = 23h

Next, we can divide both sides of the equation by 23, which results in:

79/23 = h

h = 3.43

### Answer: h = 3.43

Expected answer: 79/23

Correct? No

Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26

Llama 3 8B:

Reasoning: To solve for t, we can subtract 26 from both sides of the equation, which gives us:

92 - 26 = 33 * t + 26 - 26
66 = 33 * t

Next, we can divide both sides of the equation by 33, which gives us:

66 / 33 = t
2 = t

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Solve the following linear equation to find the value of e: 123 = ((15 * e) + 29).

Llama 3 8B:

Reasoning: We can start by subtracting 29 from both sides of the equation to isolate the term with e:

123 - 29 = ((15 * e) + 29) - 29

This simplifies to:

94 = 15e

Next, we can divide both sides of the equation by 15 to solve for e:

94/15 = e

e = 94/15

e = 6.26

### Answer: 6.26

Expected answer: 94/15

Correct? No

Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)

Llama 3 8B:

Reasoning: To solve for k, we need to isolate the term with k. We can do this by adding 80 to both sides of the equation.

16 = ((75 * k) - 80)
16 + 80 = ((75 * k) - 80) + 80
96 = 75k

Next, we can divide both sides of the equation by 75 to solve for k.

96 / 75 = 75k / 75
1.28 = k

### Answer: k = 1.28

Expected answer: 32/25

Correct? Yes

Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)

Llama 3 8B:

Reasoning: To solve for q, we need to isolate the term with the variable (q). We can do this by subtracting 89 from both sides of the equation.

131 - 89 = ((5 * q) + 89) - 89

This simplifies to:

42 = 5q

Next, we can divide both sides of the equation by 5 to solve for q.

42 / 5 = 5q / 5

This simplifies to:

8.4 = q

### Answer: 8.4

Expected answer: 42/5

Correct? Yes

Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)

Llama 3 8B:

Reasoning: We can start by subtracting 56 from both sides of the equation to get:

147 - 56 = ((38 * p) + 56) - 56
91 = 38 * p

Next, we can divide both sides of the equation by 38 to get:

91 / 38 = p
p = 91 / 38

### Answer: p = 2.39578947368421

Expected answer: 91/38

Correct? No

Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23

Llama 3 8B:

Reasoning: To solve for 'j', we need to isolate 'j' on one side of the equation. We can do this by subtracting 23 from both sides of the equation.

76 - 23 = 42 * j + 23 - 23
53 = 42 * j

Next, we can divide both sides of the equation by 42 to solve for 'j'.

53 / 42 = j
j = 1.26

### Answer: j = 1.26

Expected answer: 53/42

Correct? No

Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l

Llama 3 8B:

Reasoning: To solve for 'l', we need to isolate the term with 'l'. First, we can subtract 43 from both sides of the equation to get:

138 - 43 = 25 * l
95 = 25 * l

Next, we can divide both sides of the equation by 25 to get:

95 / 25 = l
3.8 = l

### Answer: 3.8

Expected answer: 19/5

Correct? Yes

Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)

Llama 3 8B:

Reasoning: We can start by subtracting 35 from both sides of the equation to isolate the expression inside the parentheses:

80 - 35 = ((24 * w) + 35) - 35

This simplifies to:

45 = 24w

Next, we can divide both sides of the equation by 24 to solve for w:

45/24 = w

w = 45/24

w = 1.875

### Answer: w = 1.875

Expected answer: 15/8

Correct? Yes

Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))

Llama 3 8B:

To solve for x, we can start by simplifying the right-hand side of the equation:

77 = 33 + (14x)

Subtract 33 from both sides:

44 = 14x

Now, divide both sides by 14:

x = 44/14

x = 4

### Answer: x = 4

Expected answer: 22/7

Correct? No

Problem: Solve the following linear equation to find the value of y: 110 = 12 + 88 * y

Llama 3 8B:

To solve for y, we can start by following the order of operations (PEMDAS):

1. Multiply 88 and y: 88 * y = 88y
2. Add 12 to both sides of the equation: 110 = 12 + 88y
3. Subtract 12 from both sides of the equation: 98 = 88y
4. Divide both sides of the equation by 88: y = 98/88

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

y = (49/44)

### Answer: y = 49/44

Expected answer: 49/44

Correct? Yes

Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80

Llama 3 8B:

Reasoning: To solve for 's', we need to isolate the variable 's' on one side of the equation.

First, we subtract 80 from both sides of the equation to get:

179 - 80 = 82 * s

This simplifies to:

99 = 82 * s

Next, we divide both sides of the equation by 82 to get:

99 / 82 = s

This simplifies to:

s = 1.21

### Answer: s = 1.21

Expected answer: 99/82

Correct? No

Problem: Solve the following equation for m: 129 = 26 * m + 66

Llama 3 8B:

Reasoning: To solve for m, we need to isolate the term with the variable (m). We can do this by subtracting 66 from both sides of the equation, which gives us:

129 - 66 = 26 * m + 66 - 66
63 = 26 * m

Next, we can divide both sides of the equation by 26, which gives us:

63 / 26 = m
m = 63 / 26
m = 2.42

### Answer: m = 2.42

Expected answer: 63/26

Correct? No

Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)

Llama 3 8B:

To solve for q, we can start by adding 17 to both sides of the equation:

82 + 17 = ((27 * q) - 17) + 17

This simplifies to:

99 = 27 * q

Next, we can divide both sides of the equation by 27:

99 / 27 = q

This simplifies to:

q = 3.67

### Answer: q = 3.67

Expected answer: 11/3

Correct? No

Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))

Llama 3 8B:

Reasoning: We can start by simplifying the right-hand side of the equation by evaluating the expression inside the parentheses:

141 = (64 + (22 * k))

= 64 + (22 * k)

Now, we can subtract 64 from both sides of the equation to get:

141 - 64 = 64 + (22 * k) - 64

= 77 = 22 * k

Next, we can divide both sides of the equation by 22 to solve for k:

77 / 22 = 22 * k / 22

= k

### Answer: k = 3.5

Expected answer: 7/2

Correct? Yes

Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v

Llama 3 8B:

To solve for 'v', we can start by isolating the term with the variable 'v'. We can do this by subtracting 91 from both sides of the equation:

175 - 91 = 45 * v
84 = 45 * v

Next, we can divide both sides of the equation by 45 to solve for 'v':

84 / 45 = v
v = 1.87

### Answer: v = 1.87

Expected answer: 28/15

Correct? No

Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)

Llama 3 8B:

Reasoning: To solve for k, we can add 18 to both sides of the equation, which results in:

50 + 18 = ((63 * k) - 18) + 18

This simplifies to:

68 = 63k

Next, we can divide both sides by 63, which results in:

k = 68/63

k = 1.08

### Answer: k = 1.08

Expected answer: 68/63

Correct? No

Problem: Solve the following equation for l: 65 = ((8 * l) - 10)

Llama 3 8B:

Reasoning: To solve for l, we can start by adding 10 to both sides of the equation to get:

65 + 10 = ((8 * l) - 10) + 10

This simplifies to:

75 = 8 * l

Next, we can divide both sides of the equation by 8 to get:

75 / 8 = l

This simplifies to:

l = 9.375

### Answer: l = 9.375

Expected answer: 75/8

Correct? Yes

Problem: Solve the following equation: 5 = ((10 * u) - 34)

Llama 3 8B:

Reasoning: To solve for u, we need to isolate the variable u. We can do this by adding 34 to both sides of the equation.

5 = ((10 * u) - 34)
5 + 34 = ((10 * u) - 34) + 34
39 = 10u

Next, we can divide both sides of the equation by 10 to solve for u.

39 = 10u
39/10 = u

### Answer: u = 3.9

Expected answer: 39/10

Correct? Yes

Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61

Llama 3 8B:

Let's solve the equation 91 = 9 * a + 61 for the variable 'a'.

First, we can subtract 61 from both sides of the equation to get:

91 - 61 = 9 * a + 61 - 61
30 = 9 * a

Next, we can divide both sides of the equation by 9 to get:

30/9 = a
a = 10/3

So, the value of 'a' is 10/3.

### Answer: a = 10/3

Expected answer: 10/3

Correct? Yes

Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61

Llama 3 8B:

To solve for i, we can subtract 61 from both sides of the equation:

157 = 53 * i + 61

Subtracting 61 from both sides:

157 - 61 = 53 * i

96 = 53 * i

Next, we can divide both sides by 53:

96 / 53 = i

i = 96 / 53

i = 1.81

### Answer: i = 1.81

Expected answer: 96/53

Correct? No

Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)

Llama 3 8B:

Reasoning: We can start by subtracting 14 from both sides of the equation to get:

71 - 14 = ((24 * q) + 14) - 14

This simplifies to:

57 = 24q

Next, we can divide both sides of the equation by 24 to get:

57/24 = q

This simplifies to:

q = 2.375

### Answer: q = 2.375

Expected answer: 19/8

Correct? Yes

Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i

Llama 3 8B:

Reasoning: To solve for i, we can start by subtracting 96 from both sides of the equation, which gives us:

163 - 96 = 96 + 14i - 96

This simplifies to:

67 = 14i

Next, we can divide both sides of the equation by 14, which gives us:

67/14 = i

i = 67/14

### Answer: i = 4.79

Expected answer: 67/14

Correct? No

Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23

Llama 3 8B:

Reasoning: To solve for e, we can add 23 to both sides of the equation to get:

59 + 23 = (70 * e) - 23 + 23

This simplifies to:

82 = 70 * e

Next, we can divide both sides by 70 to get:

82/70 = e

e = 82/70

e = 1.17

### Answer: 1.17

Expected answer: 41/35

Correct? No

Problem: Solve the following linear equation for o: 147 = 36 * o + 74

Llama 3 8B:

To solve for o, we can subtract 74 from both sides of the equation:

147 = 36 * o + 74

Subtracting 74 from both sides:

147 - 74 = 36 * o

This simplifies to:

73 = 36 * o

Next, we can divide both sides by 36:

73 / 36 = o

o = 73 / 36

o = 2.0277777777777777

### Answer: o = 2.0277777777777777

Expected answer: 73/36

Correct? Yes

Problem: Solve the following equation: 71 = 93 - (13 * d)

Llama 3 8B:

Reasoning: To solve for d, we need to isolate the term with the variable (d). We can do this by adding 13d to both sides of the equation.

71 = 93 - (13d)
71 + 13d = 93

Next, we can subtract 93 from both sides to get:

71 + 13d - 93 = 0
-22 + 13d = 0

Now, we can add 22 to both sides to get:

13d = 22

Finally, we can divide both sides by 13 to solve for d:

d = 22/13
d = 1.69

### Answer: d = 1.69

Expected answer: 22/13

Correct? No

Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n

Llama 3 8B:

Reasoning: To solve for n, we can start by subtracting 64 from both sides of the equation, which gives us:

118 - 64 = 64 + 6n - 64
54 = 6n

Next, we can divide both sides of the equation by 6, which gives us:

54/6 = 6n/6
9 = n

### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)

Llama 3 8B:

Reasoning: To solve for 'd', we can start by adding 7 to both sides of the equation, which gives us:

61 + 7 = ((5 * d) - 7) + 7

This simplifies to:

68 = 5d

Next, we can divide both sides of the equation by 5, which gives us:

68/5 = d

d = 13.6

### Answer: d = 13.6

Expected answer: 68/5

Correct? Yes

Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)

Llama 3 8B:

To solve for z, we can start by adding 18 to both sides of the equation:

79 + 18 = ((8 * z) - 18) + 18

This simplifies to:

97 = 8z

Next, we can divide both sides of the equation by 8:

97/8 = z

97/8 = 12.125

### Answer: z = 12.125

Expected answer: 97/8

Correct? Yes

Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)

Llama 3 8B:

Reasoning: We can start by isolating the term with the variable z by subtracting 63 from both sides of the equation.

129 - 63 = ((2 * z) + 63) - 63

This simplifies to:

66 = 2z

Next, we can divide both sides of the equation by 2 to solve for z.

66/2 = 2z/2

This simplifies to:

33 = z

### Answer: 33

Expected answer: 33

Correct? Yes

Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))

Llama 3 8B:

To solve for e, we can start by subtracting 29 from both sides of the equation:

127 - 29 = 29 + (32 * e) - 29

This simplifies to:

98 = 32 * e

Next, we can divide both sides of the equation by 32:

98 / 32 = e

e = 3.0625

### Answer: e = 3.0625

Expected answer: 49/16

Correct? Yes

Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)

Llama 3 8B:

Let's start by simplifying the right-hand side of the equation:

((50 * x) - 35) = 50x - 35

Now, we can set up the equation:

30 = 50x - 35

To solve for x, we can add 35 to both sides of the equation:

30 + 35 = 50x

65 = 50x

Next, we can divide both sides of the equation by 50:

x = 65/50

x = 1.3

### Answer: x = 1.3

Expected answer: 13/10

Correct? Yes

Problem: Solve the following equation for x: 66 = 9 + 10 * x

Llama 3 8B:

Reasoning: To solve for x, we need to isolate the term with the variable (x). We can start by subtracting 9 from both sides of the equation, which gives us:

66 - 9 = 9 + 10x - 9

This simplifies to:

57 = 10x

Next, we can divide both sides of the equation by 10 to get:

57/10 = x

This simplifies to:

5.7 = x

### Answer: 5.7

Expected answer: 57/10

Correct? Yes

Problem: Solve the following algebraic equation for the unknown variable a: 103 = ((38 * a) + 51)

Llama 3 8B:

To solve for a, we can start by subtracting 51 from both sides of the equation:

103 - 51 = ((38 * a) + 51) - 51

This simplifies to:

52 = 38a

Next, we can divide both sides of the equation by 38 to solve for a:

52 / 38 = a

a = 52 / 38

a = 1.368421052631579

### Answer: a = 1.368421052631579

Expected answer: 26/19

Correct? Yes

Problem: Determine the value of f in the following equation: 105 = 28 * f + 8

Llama 3 8B:

Reasoning: To solve for f, we need to isolate the variable f. We can do this by subtracting 8 from both sides of the equation, which gives us:

105 - 8 = 28 * f

This simplifies to:

97 = 28 * f

Next, we can divide both sides of the equation by 28, which gives us:

97 / 28 = f

This simplifies to:

3.5 = f

### Answer: 3.5

Expected answer: 97/28

Correct? No

Problem: Solve the linear equation for u: 12 = 63 - 50 * u

Llama 3 8B:

Reasoning: To solve for u, we can start by adding 50u to both sides of the equation, which gets rid of the term -50u.

12 = 63 - 50u
12 + 50u = 63

Next, we can subtract 63 from both sides to get:

12 + 50u - 63 = 0
-51 + 50u = 0

Now, we can add 51 to both sides to get:

50u = 51

Finally, we can divide both sides by 50 to solve for u:

u = 51/50
u = 1.02

### Answer: u = 1.02

Expected answer: 51/50

Correct? Yes

Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)

Llama 3 8B:

Reasoning: To solve for 'b', we need to isolate the term with 'b'. We can do this by subtracting 42 from both sides of the equation.

60 - 42 = 18

Now, the equation becomes:

18 = 10 * b

To isolate 'b', we can divide both sides of the equation by 10:

18/10 = b

b = 1.8

### Answer: b = 1.8

Expected answer: 9/5

Correct? Yes

Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)

Llama 3 8B:

To solve for j, we can start by subtracting 13 from both sides of the equation:

84 = (25j + 13)

Subtracting 13 from both sides gives us:

71 = 25j

Next, we can divide both sides of the equation by 25 to isolate j:

71/25 = j

j = 2.84

### Answer: j = 2.84

Expected answer: 71/25

Correct? Yes

Problem: Solve the following linear equation for s: 153 = 91 + 5 * s

Llama 3 8B:

To solve for s, we can start by subtracting 91 from both sides of the equation:

153 = 91 + 5s

Subtracting 91 from both sides gives us:

62 = 5s

Next, we can divide both sides of the equation by 5 to solve for s:

62 ÷ 5 = s

s = 12.4

### Answer: s = 12.4

Expected answer: 62/5

Correct? Yes

Problem: Solve for g in the following equation: 65 = (22 + (30 * g))

Llama 3 8B:

Reasoning: To solve for g, we need to isolate the term with the variable g. First, we can subtract 22 from both sides of the equation to get:

65 - 22 = (22 + (30 * g)) - 22
43 = 30 * g

Next, we can divide both sides of the equation by 30 to get:

43/30 = g

g = 43/30

### Answer: g = 43/30

Expected answer: 43/30

Correct? Yes

Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)

Llama 3 8B:

Reasoning: We can start by subtracting 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:

86 / 29 = f

This simplifies to:

3 = f

### Answer: 3

Expected answer: 86/29

Correct? No

Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))

Llama 3 8B:

Reasoning: First, we need to simplify the right-hand side of the equation by evaluating the expression inside the parentheses.

14 * q = <<14 * q=14q>>

So, the equation becomes:

80 = 19 + (14q)

Next, we can subtract 19 from both sides of the equation to get:

80 - 19 = 19 + (14q) - 19

This simplifies to:

61 = 14q

Now, we can divide both sides of the equation by 14 to solve for q:

61/14 = 14q / 14

This simplifies to:

q = 61/14

### Answer: q = 61/14

Expected answer: 61/14

Correct? Yes

Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m

Llama 3 8B:

To solve for 'm', we can start by subtracting 95 from both sides of the equation:

145 = 95 + 46 * m

Subtracting 95 from both sides gives:

50 = 46 * m

Next, we can divide both sides of the equation by 46 to solve for 'm':

50/46 = m

m = 50/46

m = 1.08

### Answer: m = 1.08

Expected answer: 25/23

Correct? No

Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i

Llama 3 8B:

Reasoning: To solve for 'i', we need to isolate the term with 'i'. First, we subtract 13 from both sides of the equation to get:

68 - 13 = 6 * i
55 = 6 * i

Next, we divide both sides of the equation by 6 to get:

55/6 = i
9.17 = i

### Answer: 9.17

Expected answer: 55/6

Correct? No

Problem: Solve the following equation for the value of h: 25 = ((74 * h) - 61)

Llama 3 8B:

Reasoning: To solve for h, we can add 61 to both sides of the equation, which results in:

25 + 61 = ((74 * h) - 61) + 61

This simplifies to:

86 = 74h

Next, we can divide both sides by 74, which results in:

h = 86 / 74

h = 1.16

### Answer: h = 1.16

Expected answer: 43/37

Correct? No

Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)

Llama 3 8B:

To solve for q, we can start by adding 30 to both sides of the equation:

51 = ((6 * q) - 30)
51 + 30 = ((6 * q) - 30) + 30
81 = 6 * q

Next, we can divide both sides of the equation by 6 to isolate q:

81 = 6 * q
81/6 = q
13.5 = q

### Answer: 13.5

Expected answer: 27/2

Correct? Yes

Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r

Llama 3 8B:

To solve for r, we can start by following the order of operations (PEMDAS) and evaluate the expression inside the parentheses:

38 = 81 - 36 * r

First, we can subtract 81 from both sides of the equation to get:

-43 = -36 * r

Next, we can divide both sides of the equation by -36 to get:

r = -43 / -36

r = 43/36

### Answer: 43/36

Expected answer: 43/36

Correct? Yes

Problem: Solve the following equation: 90 = (23 + (56 * a))

Llama 3 8B:

Reasoning: To solve for a, we need to isolate the variable a. We can do this by subtracting 23 from both sides of the equation, which gives us:

90 - 23 = (56 * a)

This simplifies to:

67 = (56 * a)

Next, we can divide both sides of the equation by 56, which gives us:

67/56 = a

This simplifies to:

a = 67/56

### Answer: a = 1.21

Expected answer: 67/56

Correct? No

Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h

Llama 3 8B:

Reasoning: To solve for h, we can start by subtracting 13 from both sides of the equation, which gives us:

81 - 13 = 30 * h
68 = 30 * h

Next, we can divide both sides of the equation by 30, which gives us:

68 / 30 = h
2.26 = h

### Answer: 2.26

Expected answer: 34/15

Correct? No

Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)

Llama 3 8B:

To solve for m, we can start by subtracting 69 from both sides of the equation:

160 - 69 = ((62 * m) + 69) - 69

This simplifies to:

91 = 62m

Next, we can divide both sides of the equation by 62 to solve for m:

91/62 = m

m = 91/62

### Answer: m = 1.47

Expected answer: 91/62

Correct? No

Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q

Llama 3 8B:

Reasoning: To solve for q, we need to isolate the term with the variable (q) on one side of the equation.

First, we can subtract 69 from both sides of the equation to get:

100 - 69 = 28 * q
31 = 28 * q

Next, we can divide both sides of the equation by 28 to get:

31 / 28 = q
1.1071 = q

### Answer: 1.1071

Expected answer: 31/28

Correct? No

Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)

Llama 3 8B:

Reasoning: We can start by simplifying the right-hand side of the equation:

192 = ((98 * w) + 94)

Subtract 94 from both sides:

192 - 94 = (98 * w) + 94 - 94

This simplifies to:

98 = 98 * w

Now, divide both sides by 98:

98/98 = w

This simplifies to:

1 = w

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y

Llama 3 8B:

Reasoning: To solve for y, we need to isolate y on one side of the equation. We can start by subtracting 93 from both sides of the equation, which gives us:

40 = -33 * y + 93

Next, we can subtract 93 from both sides to get:

-53 = -33 * y

Now, we can divide both sides by -33 to solve for y:

y = -53 / -33

y = 1.6

### Answer: y = 1.6

Expected answer: 53/33

Correct? No

Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)

Llama 3 8B:

To solve for the unknown variable u, we can start by adding 20 to both sides of the equation:

74 = ((48 * u) - 20)
74 + 20 = ((48 * u) - 20) + 20
94 = 48 * u

Next, we can divide both sides of the equation by 48:

94 / 48 = 48 * u / 48
1.958333 = u

### Answer: u = 1.958333

Expected answer: 47/24

Correct? No

Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)

Llama 3 8B:

Reasoning: To solve for f, we can start by adding 76 to both sides of the equation, which gets rid of the negative term:

13 = ((86 * f) - 76)
13 + 76 = ((86 * f) - 76) + 76
89 = 86 * f

Next, we can divide both sides of the equation by 86 to isolate f:

89 = 86 * f
89/86 = f

### Answer: f = 89/86

Expected answer: 89/86

Correct? Yes

Problem: Solve the following equation for c: 122 = (36 + (56 * c))

Llama 3 8B:

Reasoning: To solve for c, we need to isolate the term with c. First, we can subtract 36 from both sides of the equation to get:

122 - 36 = (36 + (56 * c)) - 36

This simplifies to:

86 = 56 * c

Next, we can divide both sides of the equation by 56 to get:

86 / 56 = c

This simplifies to:

c = 1.54

### Answer: c = 1.54

Expected answer: 43/28

Correct? No

Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q

Llama 3 8B:

Reasoning: We can start by subtracting 99 from both sides of the equation to get:

186 - 99 = 81 * q
87 = 81 * q

Next, we can divide both sides of the equation by 81 to get:

87/81 = q
q = 1.0889...

Since the problem asks for the unknown quantity q, we can round the answer to the nearest whole number. In this case, q = 1.

### Answer: q = 1

Expected answer: 29/27

Correct? No

Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)

Llama 3 8B:

Reasoning: To find the value of 'u', we need to isolate 'u' on one side of the equation.

First, we can subtract 77 from both sides of the equation to get:

120 - 77 = ((42 * u) + 77) - 77
43 = 42 * u

Next, we can divide both sides of the equation by 42 to get:

43/42 = u

u = 43/42

### Answer: u = 43/42

Expected answer: 43/42

Correct? Yes

Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))

Llama 3 8B:

Reasoning: To solve for j, we need to isolate the term with j. We can start by subtracting 52 from both sides of the equation:

103 - 52 = (52 + (6 * j)) - 52
51 = 6 * j

Next, we can divide both sides of the equation by 6 to solve for j:

51 / 6 = 6 * j / 6
8.5 = j

### Answer: 8.5

Expected answer: 17/2

Correct? Yes

Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))

Llama 3 8B:

Reasoning: To solve for n, we need to isolate the term with the variable (n) on one side of the equation.

First, we can start by subtracting 82 from both sides of the equation to get:

-26 = -(4 * n)

Next, we can divide both sides of the equation by -4 to get:

n = -26 / 4

n = -13/2

### Answer: n = -13/2

Expected answer: 13/2

Correct? Yes

Problem: Solve the following linear equation for m: 77 = 14 + 60 * m

Llama 3 8B:

To solve for m, we can start by subtracting 14 from both sides of the equation:

77 - 14 = 60 * m
63 = 60 * m

Next, we can divide both sides of the equation by 60:

63 / 60 = m
1.05 = m

### Answer: 1.05

Expected answer: 21/20

Correct? Yes

Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e

Llama 3 8B:

To solve for e, we can subtract 17 from both sides of the equation:

31 = 17 + e

Subtracting 17 from both sides gives:

31 - 17 = e

This simplifies to:

14 = e

### Answer: 14

Expected answer: 14

Correct? Yes

Problem: Find the value of x that solves the following equation: 2 = 81 - (15 * x)

Llama 3 8B:

Reasoning: To solve for x, we need to isolate the term with the variable (15x). We can do this by subtracting 81 from both sides of the equation.

2 = 81 - (15 * x)
2 + 81 = 81 - (15 * x) + 81
83 = 81 - (15 * x)

Next, we can add (15 * x) to both sides to get:

83 + (15 * x) = 81

Subtracting 83 from both sides gives us:

(15 * x) = -2

Finally, dividing both sides by 15 gives us:

x = -2/15

### Answer: x = -2/15

Expected answer: 79/15

Correct? No

Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.

Llama 3 8B:

Reasoning: To solve for e, we need to isolate the term with the variable e. First, we subtract 88 from both sides of the equation to get:

177 - 88 = 88 + 6 * e - 88

This simplifies to:

89 = 6 * e

Next, we divide both sides of the equation by 6 to get:

89/6 = e

e = 89/6

e = 14.83

### Answer: 14.83

Expected answer: 89/6

Correct? No

Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15

Llama 3 8B:

Reasoning: Subtract 15 from both sides of the equation to get:
95 - 15 = 3*r + 15 - 15
80 = 3*r

Next, divide both sides of the equation by 3 to get:
80/3 = 3*r / 3
26.67 = r

### Answer: 26.67

Expected answer: 80/3

Correct? No

Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))

Llama 3 8B:

Reasoning: We can start by simplifying the right-hand side of the equation by evaluating the expression inside the parentheses:

154 = (70 + (31 * v))

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 solve for v:

v = 84 / 31

v = 2.71

### Answer: 2.71

Expected answer: 84/31

Correct? No

Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)

Llama 3 8B:

Reasoning: We can start by subtracting 87 from both sides of the equation to isolate the expression inside the parentheses:

179 - 87 = ((70 * r) + 87) - 87
92 = 70 * r

Next, we can divide both sides of the equation by 70 to solve for r:

92 / 70 = 70 * r / 70
1.3 = r

### Answer: 1.3

Expected answer: 46/35

Correct? No

Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)

Llama 3 8B:

Reasoning: We can start by isolating the term with the variable r by subtracting 2 from both sides of the equation.

93 - 2 = ((19 * r) + 2) - 2
91 = 19r

Next, we can divide both sides of the equation by 19 to solve for r.

91 / 19 = 19r / 19
r = 91 / 19
r = 4.789473684210526

Since we can't have a fraction of a person, we can round the value of r to the nearest whole number.

r ≈ 5

### Answer: r ≈ 5

Expected answer: 91/19

Correct? No

Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))

Llama 3 8B:

To solve for z, we can start by isolating the term with the variable z.

First, we can distribute the multiplication:

20 = 67 - 37z

Next, we can add 37z to both sides to get:

20 + 37z = 67

Subtracting 20 from both sides gives us:

37z = 47

Finally, we can divide both sides by 37 to solve for z:

z = 47/37

### Answer: z = 1.27

Expected answer: 47/37

Correct? No

Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)

Llama 3 8B:

To solve for m, we can start by subtracting 15 from both sides of the equation:

65 - 15 = ((25 * m) + 15) - 15

This simplifies to:

50 = 25m

Next, we can divide both sides of the equation by 25 to solve for m:

50/25 = m

m = 2

### Answer: m = 2

Expected answer: 2

Correct? Yes

Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)

Llama 3 8B:

Reasoning: To solve for g, we need to isolate the term with the variable g. We can do this by subtracting 19 from both sides of the equation.

79 = ((6 * g) + 19)

Subtracting 19 from both sides:

60 = (6 * g)

Next, we can divide both sides by 6 to solve for g.

60/6 = g

g = 10

### Answer: g = 10

Expected answer: 10

Correct? Yes

Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)

Llama 3 8B:

To solve for 'l', we can start by adding 45 to both sides of the equation:

30 = ((56 * l) - 45)
30 + 45 = ((56 * l) - 45) + 45
75 = 56 * l

Next, we can divide both sides of the equation by 56 to isolate 'l':

75 = 56 * l
75 / 56 = l

### Answer: l = 1.25

Expected answer: 75/56

Correct? No

Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)

Llama 3 8B:

Reasoning: We can start by subtracting 4 from both sides of the equation to get:

57 - 4 = ((11 * j) + 4) - 4

This simplifies to:

53 = 11j

Next, we can divide both sides of the equation by 11 to get:

53/11 = j

This simplifies to:

j = 53/11

j = 4.818181...

### Answer: j = 4.818181...

Expected answer: 53/11

Correct? No

Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56

Llama 3 8B:

Reasoning: To solve for 'f', we can add 56 to both sides of the equation 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 = 2.71 (approximately)

### Answer: f = 2.71

Expected answer: 46/17

Correct? No

Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43

Llama 3 8B:

Reasoning: To solve for 'u', we can add 43 to both sides of the equation to get:

56 + 43 = (70 * u) - 43 + 43

This simplifies to:

99 = 70 * u

Next, we can divide both sides by 70 to get:

99/70 = u

u = 99/70

u = 1.42

### Answer: u = 1.42

Expected answer: 99/70

Correct? No

Problem: Solve the following equation for the variable x: 67 = 21 + 9*x

Llama 3 8B:

Reasoning: We are given the equation 67 = 21 + 9x. To solve for x, we need to isolate the variable x.

First, we subtract 21 from both sides of the equation to get:

67 - 21 = 21 + 9x - 21
46 = 9x

Next, we divide both sides of the equation by 9 to get:

46/9 = 9x/9
x = 46/9

x = 5.11

### Answer: x = 5.11

Expected answer: 46/9

Correct? No

Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)

Llama 3 8B:

Reasoning: We can start by isolating the term with the variable i by subtracting 58 from both sides of the equation:

75 - 58 = 16 * i
17 = 16 * i

Next, we can divide both sides of the equation by 16 to solve for i:

17 / 16 = i
i = 17/16

### Answer: i = 17/16

Expected answer: 17/16

Correct? Yes

Problem: Solve for x in the following equation: 111 = (54 + (39 * x))

Llama 3 8B:

Reasoning: To solve for x, we need to isolate the term with the variable (39x). We can do this by subtracting 54 from both sides of the equation.

111 - 54 = (54 + (39 * x)) - 54
57 = 39x

Next, we can divide both sides of the equation by 39 to solve for x.

x = 57 / 39
x = 1.46

### Answer: x = 1.46

Expected answer: 19/13

Correct? No

Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)

Llama 3 8B:

Reasoning: To solve for o, we need to isolate the term with the variable (o). We can do this by subtracting 68 from both sides of the equation.

155 = ((26 * o) + 68)
155 - 68 = ((26 * o) + 68) - 68
87 = 26 * o

Next, we can divide both sides of the equation by 26 to solve for o.

87 / 26 = 26 * o / 26
3.27 = o

### Answer: 3.27

Expected answer: 87/26

Correct? No

Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)

Llama 3 8B:

Reasoning: To solve for p, we need to isolate the variable p. We can do this by adding 17 to both sides of the equation.

7 = ((12 * p) - 17)
7 + 17 = ((12 * p) - 17) + 17
24 = 12p

Next, we can divide both sides of the equation by 12 to solve for p.

24/12 = 12p/12
2 = p

### 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?

Llama 3 8B:

Reasoning: We can start by simplifying the right-hand side of the equation:

93 + 55 * b = 93 + 55b

Now, we can set up an equation by equating the left-hand side with the right-hand side:

163 = 93 + 55b

Subtract 93 from both sides to get:

70 = 55b

Now, divide both sides by 55 to solve for b:

b = 70/55

b = 1.27

### Answer: 1.27

Expected answer: 14/11

Correct? No

Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)

Llama 3 8B:

Reasoning: To solve for 'u', we can add 26 to both sides of the equation, which results in:

62 + 26 = (u - 26) + 26

This simplifies to:

88 = u

### Answer: 88

Expected answer: 88

Correct? Yes

Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)

Llama 3 8B:

Reasoning: To solve for a, we can start by subtracting 93 from both sides of the equation, which gives us:

179 - 93 = ((63 * a) + 93) - 93

This simplifies to:

86 = 63a

Next, we can divide both sides of the equation by 63, which gives us:

86/63 = a

This simplifies to:

a = 86/63

### Answer: a = 86/63

Expected answer: 86/63

Correct? Yes

Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)

Llama 3 8B:

Reasoning: To solve for c, we need to isolate the variable c. We can do this by adding 11 to both sides of the equation, which results in:

51 + 11 = ((27 * c) - 11) + 11

This simplifies to:

62 = 27 * c

Next, we can divide both sides of the equation by 27, which results in:

62/27 = c

c = 62/27

c = 2.2963 (rounded to four decimal places)

### Answer: 2.2963

Expected answer: 62/27

Correct? No

Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)

Llama 3 8B:

Reasoning: To solve for 'd', we need to isolate 'd' on one side of the equation.

First, we can add 18 to both sides of the equation to get:

19 + 18 = ((28 * d) - 18) + 18

This simplifies to:

37 = 28 * d

Next, we can divide both sides of the equation by 28 to get:

37/28 = d

This simplifies to:

d = 37/28

### Answer: d = 1.25

Expected answer: 37/28

Correct? No

Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)

Llama 3 8B:

Reasoning: We can start by subtracting 62 from both sides of the equation to isolate the term with e:

159 - 62 = ((47 * e) + 62) - 62

This simplifies to:

97 = 47e

Next, we can divide both sides of the equation by 47 to solve for e:

97 / 47 = e

e = 2.06

### Answer: e = 2.06

Expected answer: 97/47

Correct? No

Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))

Llama 3 8B:

To solve for g, we can start by isolating the term with the variable g:

145 = (50 + (91 * g))

Subtract 50 from both sides:

145 - 50 = 50 + (91 * g) - 50

This simplifies to:

95 = 91 * g

Next, divide both sides by 91:

95 / 91 = 91 * g / 91

This simplifies to:

1.05 = g

### Answer: g = 1.05

Expected answer: 95/91

Correct? No

Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)

Llama 3 8B:

To solve for l, we can start by subtracting 73 from both sides of the equation:

123 - 73 = ((44 * l) + 73) - 73

This simplifies to:

50 = 44 * l

Next, we can divide both sides of the equation by 44:

50/44 = l

This simplifies to:

l = 1.136...

So, the value of l is approximately 1.14.

### Answer: l ≈ 1.14

Expected answer: 25/22

Correct? No

Problem: Solve the following equation: 165 = ((19 * q) + 75)

Llama 3 8B:

Reasoning: To solve for q, we need to isolate the variable q. We can do this by subtracting 75 from both sides of the equation.

165 = ((19 * q) + 75)
165 - 75 = ((19 * q) + 75) - 75
90 = 19 * q

Next, we can divide both sides of the equation by 19 to solve for q.

90 / 19 = 19 * q / 19
q = 90 / 19
q = 4.74

### Answer: 4.74

Expected answer: 90/19

Correct? No

Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)

Llama 3 8B:

Reasoning: We can start by simplifying the right-hand side of the equation by evaluating the expression inside the parentheses:

((18 * g) + 62) = 18g + 62

Now, we can set up the equation:

149 = 18g + 62

Subtract 62 from both sides to get:

87 = 18g

Divide both sides by 18 to solve for g:

g = 87/18

g = 4.83

### Answer: g = 4.83

Expected answer: 29/6

Correct? No

Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21

Llama 3 8B:

To solve for d, we can subtract 21 from both sides of the equation:

84 = 20 * d + 21

Subtracting 21 from both sides:

63 = 20 * d

Next, we can divide both sides by 20:

63/20 = d

d = 3.15

### Answer: d = 3.15

Expected answer: 63/20

Correct? Yes

Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))

Llama 3 8B:

Reasoning: To solve for g, we need to isolate the term with the variable (6*g). We can do this by subtracting 50 from both sides of the equation.

61 - 50 = (50 + (6 * g)) - 50
11 = 6*g

Next, we can divide both sides of the equation by 6 to solve for g.

11/6 = g
g = 1.83

### Answer: g = 1.83

Expected answer: 11/6

Correct? No

Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)

Llama 3 8B:

To solve for v, we can start by subtracting 76 from both sides of the equation:

126 = (21 * v) + 76

Subtracting 76 from both sides gives us:

50 = 21 * v

Next, we can divide both sides of the equation by 21 to solve for v:

50/21 = v

v = 50/21

### Answer: v = 2.38

Expected answer: 50/21

Correct? No

Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)

Llama 3 8B:

Reasoning: To solve for g, we can add 24 to both sides of the equation to get:

74 + 24 = ((91 * g) - 24) + 24

This simplifies to:

98 = 91g

Next, we can divide both sides by 91 to get:

98/91 = g

g = 98/91

### Answer: g = 1.0779

Expected answer: 14/13

Correct? No