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

Mixtral 8x22B:

 Reasoning: First, we need to isolate the term with the variable u. To do this, we can subtract 92 from both sides of the equation:

122 - 92 = 92 - 92 + 28 * u
30 = 28 * u

Next, we can solve for u by dividing both sides of the equation by 28:

30 / 28 = (28 * u) / 28
u = 30 / 28

Finally, we can simplify the fraction to find the value of u:

u = 15 / 14

### Answer: u = 15/14

Expected answer: 15/14

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, add 34 to both sides of the equation to isolate the term with i:
42 + 34 = 35 * i
76 = 35 * i
Next, divide both sides by 35 to solve for i:
i = 76 / 35
i = <<76/35=2.1714285714285714>>2.1714285714285714
### Answer: 2.1714285714285714

Expected answer: 76/35

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of r, we need to isolate r on one side of the equation.
First, subtract 41 from both sides of the equation: 94 - 41 = 41 + 6 * r - 41
This simplifies to 53 = 6 * r
Next, divide both sides of the equation by 6 to solve for r: 53 / 6 = 6 * r / 6
This simplifies to r = 53 / 6
### Answer: r = 53/6

Expected answer: 53/6

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of "i", we need to isolate it on one side of the equation.
First, we subtract 94 from both sides of the equation: 158 - 94 = (19 * i) + 94 - 94
This simplifies to: 64 = 19 * i
Next, we divide both sides of the equation by 19 to solve for "i": 64 / 19 = (19 * i) / 19
This simplifies to: i = 64 / 19
Therefore, the value of "i" is 64/19.
### Answer: 64/19

Expected answer: 64/19

Correct? Yes

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

Mixtral 8x22B:

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

134 = (30 * q) + 54

Subtract 54 from both sides:

134 - 54 = 30 * q

80 = 30 * q

Now, divide both sides by 30 to solve for 'q':

q = 80 / 30

q = <<80/30=8/3>>8/3

### Answer: 8/3

Expected answer: 8/3

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of y, we need to isolate y on one side of the equation.
First, we subtract 27 from both sides of the equation:
94 - 27 = (27 + y) - 27
67 = y
### Answer: 67

Expected answer: 67

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for h, we first isolate the term with h on one side of the equation.

9 + 70 = 23 * h
79 = 23 * h

Next, we divide both sides of the equation by 23 to solve for h.

h = 79 / 23
h = <<79/23=3.434782608695652>>3.434782608695652

### Answer: 3.434782608695652

Expected answer: 79/23

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of t, we first need to isolate t. We can do this by subtracting 26 from both sides of the equation and then dividing by 33.

92 - 26 = 33 * t
66 = 33 * t
t = 66 / 33
t = 2

### Answer: 2

Expected answer: 2

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of e, we need to isolate e on one side of the equation.
First, we subtract 29 from both sides of the equation: 123 - 29 = (15 * e) + 29 - 29
This simplifies to 94 = 15 * e
Next, we divide both sides of the equation by 15 to solve for e: 94 / 15 = (15 * e) / 15
This simplifies to e = 94 / 15
### Answer: e = 94/15

Expected answer: 94/15

Correct? Yes

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

Mixtral 8x22B:

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

First, we add 80 to both sides of the equation to get rid of the -80 on the right side:
16 + 80 = (75 * k) - 80 + 80
96 = 75 * k

Next, we divide both sides of the equation by 75 to solve for 'k':
96 / 75 = (75 * k) / 75
k = 96 / 75

Therefore, the value of 'k' is 96/75.

### Answer: 96/75

Expected answer: 32/25

Correct? Yes

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

Mixtral 8x22B:

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

131 - 89 = (5 * q) + 89 - 89
42 = 5 * q

Now, we can solve for q by dividing both sides of the equation by 5:

42 / 5 = (5 * q) / 5
q = 42 / 5

Therefore, q = <<42/5=8.4>>8.4

### Answer: 8.4

Expected answer: 42/5

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of p, we need to isolate p in the equation.
First, we subtract 56 from both sides of the equation: 147 - 56 = (38 * p)
This simplifies to 91 = 38 * p
Next, we divide both sides of the equation by 38 to solve for p: p = 91 / 38
p = <<91/38=2.394736842105263>>2.394736842105263
### Answer: 2.394736842105263

Expected answer: 91/38

Correct? No

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

Mixtral 8x22B:

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

First, we subtract 23 from both sides of the equation:
76 - 23 = 42 * j + 23 - 23
53 = 42 * j

Next, we divide both sides of the equation by 42 to solve for 'j':
53 / 42 = (42 * j) / 42
j = 53 / 42

Therefore, the value of 'j' is 53/42.

### Answer: 53/42

Expected answer: 53/42

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of 'l', we need to isolate 'l' on one side of the equation.
First, we subtract 43 from both sides of the equation: 138 - 43 = 25 * l
This simplifies to 95 = 25 * l
Next, we divide both sides of the equation by 25 to solve for 'l': 95 / 25 = l
This simplifies to l = <<95/25=3.8>>3.8
### Answer: 3.8

Expected answer: 19/5

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the unknown w, we need to isolate w in the equation.
First, we subtract 35 from both sides of the equation: 80 - 35 = (24 * w) + 35 - 35
This simplifies to 45 = 24 * w
Next, we divide both sides of the equation by 24 to solve for w: 45 / 24 = w
### 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))

Mixtral 8x22B:

 Reasoning: To find the value of x, we need to isolate x on one side of the equation.
First, we can subtract 33 from both sides of the equation to get:
77 - 33 = 14 * x
44 = 14 * x
Next, we can divide both sides of the equation by 14 to solve for x:
44 / 14 = x
x = <<44/14=3.142857142857143>>3.142857142857143
### Answer: 3.142857142857143

Expected answer: 22/7

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of y, we need to isolate y on one side of the equation.
First, we can subtract 12 from both sides of the equation to get:
110 - 12 = 88 * y
98 = 88 * y
Next, we can divide both sides of the equation by 88 to solve for y:
98 / 88 = y
y = <<98/88=1.1136363636363635>>1.1136363636363635
### Answer: 1.1136363636363635

Expected answer: 49/44

Correct? Yes

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

Mixtral 8x22B:

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

179 = 82 * s + 80

Subtract 80 from both sides of the equation:

179 - 80 = 82 * s

99 = 82 * s

Now, divide both sides of the equation by 82 to solve for 's':

s = 99 / 82

s = <<99/82=1.2073170731707318>>1.2073170731707318

### Answer: 1.2073170731707318

Expected answer: 99/82

Correct? No

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

Mixtral 8x22B:

 Reasoning: To solve for m, we first need to isolate m on one side of the equation.
129 - 66 = 26 * m
63 = 26 * m
Now, we divide both sides by 26 to solve for m.
m = 63 / 26
m = <<63/26=2.423076923076923>>2.423076923076923
### Answer: 2.423076923076923

Expected answer: 63/26

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for q, we first isolate the term with q on one side of the equation.

82 + 17 = 27q
99 = 27q

Next, we divide both sides of the equation by 27 to solve for q.

q = 99 / 27
q = <<99/27=3.6666666666666665>>3.6666666666666665

### Answer: q = 3.6666666666666665

Expected answer: 11/3

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for k, we first need to isolate the term with k on one side of the equation.

141 = 64 + 22k

Subtract 64 from both sides:

141 - 64 = 22k

77 = 22k

Now, divide both sides by 22 to solve for k:

k = 77 / 22

k = <<77/22=3.5>>3.5

### Answer: 3.5

Expected answer: 7/2

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'v', we first need to isolate the term containing 'v'.
175 = 91 + 45v
Subtract 91 from both sides:
175 - 91 = 45v
84 = 45v
Now, divide both sides by 45:
84 / 45 = v
v = <<84/45=1.8666666666666667>>1.8666666666666667
### Answer: 1.8666666666666667

Expected answer: 28/15

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, we need to isolate the term with k. To do this, we can add 18 to both sides of the equation:

50 + 18 = (63 * k) - 18 + 18
68 = 63 * k

Next, we can divide both sides of the equation by 63 to solve for k:

68 / 63 = k

k = 68 / 63

k = 1.0793650793650793

### Answer: k = 1.0793650793650793

Expected answer: 68/63

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for l, we first need to isolate the term with l on one side of the equation.

65 = (8 * l) - 10

Adding 10 to both sides of the equation, we get:

65 + 10 = 8 * l

75 = 8 * l

Dividing both sides of the equation by 8, we get:

75 / 8 = l

l = 9.375

### Answer: l = 9.375

Expected answer: 75/8

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
10 * u - 34 = 5
10 * u = 5 + 34
10 * u = 39
u = 39 / 10
u = 3.9
### Answer: 3.9

Expected answer: 39/10

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'a', we need to isolate 'a' on one side of the equation.
First, we subtract 61 from both sides of the equation: 91 - 61 = 9 * a + 61 - 61
This simplifies to: 30 = 9 * a
Next, we divide both sides of the equation by 9 to solve for 'a': 30 / 9 = (9 * a) / 9
This simplifies to: a = 30 / 9
### Answer: a = 30/9

Expected answer: 10/3

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for i, we first need to isolate the term with i on one side of the equation.

157 - 61 = 53 * i
96 = 53 * i

Now, we can divide both sides of the equation by 53 to solve for i.

i = 96 / 53

### Answer: i = 96 / 53

Expected answer: 96/53

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for q, we first need to isolate the term with q. We can do this by subtracting 14 from both sides of the equation:

71 - 14 = (24 * q) + 14 - 14
57 = 24 * q

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

57 / 24 = q

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

Mixtral 8x22B:

 Reasoning: To solve for i, we need to isolate i on one side of the equation.
First, we subtract 96 from both sides of the equation:
163 - 96 = 96 - 96 + 14 * i
67 = 14 * i
Next, we divide both sides of the equation by 14:
67 / 14 = (14 * i) / 14
i = 67 / 14
i = <<67/14=4.7857142857142855>>4.7857142857142855
### Answer: 4.7857142857142855

Expected answer: 67/14

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for e, we first need to isolate the term with e on one side of the equation. We can do this by adding 23 to both sides of the equation:

59 + 23 = (70 * e) - 23 + 23
82 = 70 * e

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

82 / 70 = (70 * e) / 70
e = 82 / 70

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 14:

e = (82 / 14) / (70 / 14)
e = 5.857142857142857 / 5
e = 1.1714285714285714

Therefore, the value of e is approximately 1.1714285714285714.

### Answer: 1.1714285714285714

Expected answer: 41/35

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for o, we first need to isolate the term with o on one side of the equation.

147 - 74 = 36 * o
73 = 36 * o

Now, we divide both sides of the equation by 36 to solve for o.

o = 73 / 36

### Answer: o = 73 / 36

Expected answer: 73/36

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for d, we first isolate the term with d on one side of the equation.

71 = 93 - (13 * d)

Subtract 93 from both sides:

71 - 93 = -(13 * d)

-22 = -(13 * d)

Divide both sides by -13:

-22 / -13 = d

d = 2

### Answer: 2

Expected answer: 22/13

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of n, we need to isolate n on one side of the equation.
First, we subtract 64 from both sides of the equation: 118 - 64 = 6 * n
This simplifies to 54 = 6 * n
Next, we divide both sides of the equation by 6 to solve for n: 54 / 6 = n
This simplifies to n = 9
### Answer: 9

Expected answer: 9

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of 'd', we need to isolate 'd' on one side of the equation.
First, we add 7 to both sides of the equation to get rid of the -7 on the right side:
61 + 7 = (5 * d) - 7 + 7
68 = 5 * d
Next, we divide both sides of the equation by 5 to solve for 'd':
68 / 5 = (5 * d) / 5
d = 68 / 5
d = <<68/5=13.6>>13.6
### Answer: 13.6

Expected answer: 68/5

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, add 18 to both sides of the equation to isolate the term with z:
79 + 18 = (8 * z) - 18 + 18
97 = 8 * z
Next, divide both sides by 8 to solve for z:
97 / 8 = (8 * z) / 8
z = 97 / 8
z = <<97/8=12.125>>12.125
### Answer: 12.125

Expected answer: 97/8

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
129 = 2z + 63
129 - 63 = 2z
66 = 2z
z = 66 / 2
z = <<66/2=33>>33
### Answer: 33

Expected answer: 33

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for e, we first need to isolate the term with e on one side of the equation.

127 = 29 + 32e

Subtract 29 from both sides:

127 - 29 = 32e

98 = 32e

Now, divide both sides by 32 to solve for e:

e = 98 / 32

e = <<98/32=3.0625>>3.0625

### Answer: 3.0625

Expected answer: 49/16

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, we need to isolate the term with x. To do this, we can add 35 to both sides of the equation:
30 + 35 = (50 * x) - 35 + 35
65 = 50 * x
Next, we can divide both sides of the equation by 50 to solve for x:
65 / 50 = (50 * x) / 50
1.3 = x
### Answer: 1.3

Expected answer: 13/10

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for x, we first need to isolate the term with x. We can do this by subtracting 9 from both sides of the equation:

66 - 9 = 10 * x
57 = 10 * x

Now, we can divide both sides of the equation by 10 to solve for x:

57 / 10 = x
x = 5.7

### Answer: x = 5.7

Expected answer: 57/10

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for a, we first need to isolate the term with a on one side of the equation.

103 = (38 * a) + 51

Subtract 51 from both sides:

103 - 51 = 38 * a

52 = 38 * a

Now, divide both sides by 38 to solve for a:

a = 52 / 38

a = <<52/38=1.3684210526315788>>1.3684210526315788

### Answer: 1.3684210526315788

Expected answer: 26/19

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of f, we need to isolate f in the equation.
First, we subtract 8 from both sides of the equation: 105 - 8 = 28 * f + 8 - 8
This simplifies to 97 = 28 * f
Next, we divide both sides of the equation by 28 to solve for f: 97 / 28 = f
### Answer: f = 97/28

Expected answer: 97/28

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for u, we first isolate the term with u on one side of the equation.

12 = 63 - 50u

Subtract 63 from both sides:

12 - 63 = -50u

-51 = -50u

Now, divide both sides by -50 to solve for u:

u = -51 / -50

u = 1.02

### Answer: 1.02

Expected answer: 51/50

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'b', we need to isolate it on one side of the equation.
First, we subtract 42 from both sides of the equation: 60 - 42 = 42 + (10 * b) - 42
This simplifies to 18 = 10 * b
Next, we divide both sides of the equation by 10 to solve for 'b': 18 / 10 = (10 * b) / 10
This simplifies to b = 1.8
### Answer: 1.8

Expected answer: 9/5

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'j', we first need to isolate the term containing 'j'. We can do this by subtracting 13 from both sides of the equation:

84 - 13 = (25 * j) + 13 - 13
71 = 25 * j

Next, we can solve for 'j' by dividing both sides of the equation by 25:

71 / 25 = (25 * j) / 25
j = 71 / 25

Therefore, the solution to the equation is:

j = 71 / 25

### Answer: j = 71 / 25

Expected answer: 71/25

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for s, we first need to isolate the term with s on one side of the equation. We can do this by subtracting 91 from both sides of the equation:

153 - 91 = 91 - 91 + 5 * s
62 = 5 * s

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

62 / 5 = (5 * s) / 5
12.4 = s

Therefore, the solution to the equation is s = 12.4.

### Answer: 12.4

Expected answer: 62/5

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for g, we first need to isolate the term with g on one side of the equation.

65 = 22 + (30 * g)

Subtract 22 from both sides:

65 - 22 = 30 * g

43 = 30 * g

Now, divide both sides by 30 to solve for g:

g = 43 / 30

g = <<43/30=1.4333333333333333>>1.4333333333333333

### Answer: 1.4333333333333333

Expected answer: 43/30

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for f, we first need to isolate the term with f on one side of the equation.

96 - 10 = (29 * f) + 10 - 10
86 = 29 * f

Now, we can divide both sides of the equation by 29 to solve for f.

86 / 29 = (29 * f) / 29
f = 86 / 29

### Answer: f = 3

Expected answer: 86/29

Correct? No

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

Mixtral 8x22B:

 Reasoning: To solve for q, we need to isolate q on one side of the equation.
First, we subtract 19 from both sides of the equation: 80 - 19 = 14 * q
This simplifies to 61 = 14 * q
Next, we divide both sides of the equation by 14 to solve for q: q = 61 / 14
Therefore, q = <<61/14=4.357142857142857>>4.357142857142857
### Answer: 4.357142857142857

Expected answer: 61/14

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'm', we first need to isolate the term with 'm' on one side of the equation.

145 - 95 = 46 * m
50 = 46 * m

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

m = 50 / 46
m = <<50/46=1.0869565217391304>>1.0869565217391304

### Answer: 1.0869565217391304

Expected answer: 25/23

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'i', we need to isolate it on one side of the equation.
First, we subtract 13 from both sides of the equation: 68 - 13 = 13 + 6 * i - 13
This simplifies to 55 = 6 * i
Next, we divide both sides of the equation by 6 to solve for 'i': 55 / 6 = (6 * i) / 6
This simplifies to i = 55 / 6
### Answer: i = 55/6

Expected answer: 55/6

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, we need to isolate the term with h on one side of the equation.
25 + 61 = 74 * h
86 = 74 * h
Now, we can solve for h by dividing both sides of the equation by 74.
h = 86 / 74
h = <<86/74=1.1621621621621621>>1.1621621621621621
### Answer: 1.1621621621621621

Expected answer: 43/37

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, add 30 to both sides of the equation to isolate the term with q:
51 + 30 = 6 * q
81 = 6 * q
Next, divide both sides by 6 to solve for q:
81 / 6 = q
q = <<81/6=13.5>>13.5
### Answer: 13.5

Expected answer: 27/2

Correct? Yes

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

Mixtral 8x22B:

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

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

38 - 81 = -36 * r

This simplifies to:

-43 = -36 * r

Next, we can divide both sides of the equation by -36 to solve for r:

r = -43 / -36

This simplifies to:

r = 1.1944444444444444

### Answer: r = 1.1944444444444444

Expected answer: 43/36

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for a, we first need to isolate the term with a on one side of the equation.

90 = 23 + (56 * a)

Subtract 23 from both sides:

90 - 23 = 56 * a

67 = 56 * a

Now, divide both sides by 56 to solve for a:

a = 67 / 56

a = <<67/56=1.1964285714285714>>1.1964285714285714

### Answer: 1.1964285714285714

Expected answer: 67/56

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for h, we need to isolate h on one side of the equation.
First, we subtract 13 from both sides of the equation: 81 - 13 = 30 * h
This simplifies to 68 = 30 * h
Next, we divide both sides of the equation by 30 to solve for h: h = 68 / 30
This simplifies to h = <<68/30=2.2666666666666665>>2.2666666666666665
### Answer: 2.2666666666666665

Expected answer: 34/15

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for m, we first need to isolate the term with m on one side of the equation.

160 = (62 * m) + 69

Subtract 69 from both sides:

160 - 69 = 62 * m

91 = 62 * m

Now, divide both sides by 62 to solve for m:

m = 91 / 62

m = <<91/62=1.467741935483871>>1.467741935483871

### Answer: 1.467741935483871

Expected answer: 91/62

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of q, we need to isolate q on one side of the equation.
First, we subtract 69 from both sides of the equation: 100 - 69 = 28 * q
This simplifies to 31 = 28 * q
Next, we divide both sides of the equation by 28 to solve for q: q = 31 / 28
### Answer: q = 31/28

Expected answer: 31/28

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of w, we need to isolate w on one side of the equation.
First, we subtract 94 from both sides of the equation:
192 - 94 = (98 * w) + 94 - 94
98 = 98 * w
Next, we divide both sides of the equation by 98:
98 / 98 = (98 * w) / 98
1 = w
### Answer: 1

Expected answer: 1

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of y, we need to isolate y on one side of the equation.
First, we can subtract 93 from both sides of the equation to get:
40 - 93 = -33 * y
-53 = -33 * y
Next, we can divide both sides of the equation by -33 to solve for y:
y = -53 / -33
y = <<-53/-33=1.6060606060606061>>1.6060606060606061
### Answer: 1.6060606060606061

Expected answer: 53/33

Correct? No

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

Mixtral 8x22B:

 Reasoning: To solve for u, we first isolate the term with u on one side of the equation.

74 + 20 = 48u
94 = 48u

Next, we divide both sides of the equation by 48 to solve for u.

u = 94 / 48

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

u = 47 / 24

Therefore, the value of u is 47/24.

### Answer: 47/24

Expected answer: 47/24

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
13 = (86 * f) - 76
13 + 76 = 86 * f
89 = 86 * f
f = 89 / 86
f = <<89/86=1.0348837209302326>>1.0348837209302326
### Answer: 1.0348837209302326

Expected answer: 89/86

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for c, we first need to isolate the term with c on one side of the equation.

122 = 36 + (56 * c)

Subtract 36 from both sides:

122 - 36 = 56 * c

86 = 56 * c

Now, divide both sides by 56 to solve for c:

c = 86 / 56

c = <<86/56=1.5357142857142858>>1.5357142857142858

### Answer: 1.5357142857142858

Expected answer: 43/28

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for q, we first need to isolate the term with q on one side of the equation. We can do this by subtracting 99 from both sides of the equation:

186 - 99 = 81 * q

This simplifies to:

87 = 81 * q

Next, we can solve for q by dividing both sides of the equation by 81:

q = 87 / 81

This simplifies to:

q = <<87/81=1.074074074074074>>1.074074074074074

### Answer: 1.074074074074074

Expected answer: 29/27

Correct? No

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

Mixtral 8x22B:

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

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

120 - 77 = (42 * u)

43 = (42 * u)

Next, we divide both sides of the equation by 42 to solve for 'u':

43 / 42 = u

u = <<43/42=1.0238095238095237>>1.0238095238095237

### Answer: 1.0238095238095237

Expected answer: 43/42

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of j, we need to isolate j in the equation.
First, we subtract 52 from both sides of the equation:
103 - 52 = 6 * j
51 = 6 * j
Next, we divide both sides of the equation by 6:
51 / 6 = j
j = <<51/6=8.5>>8.5
### Answer: 8.5

Expected answer: 17/2

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for n, we need to isolate n on one side of the equation.
First, we can subtract 82 from both sides of the equation to get:
56 - 82 = -(4 * n)
-26 = -(4 * n)
Next, we can divide both sides of the equation by -4 to solve for n:
n = -26 / -4
n = <<-26/-4=6.5>>6.5
### Answer: 6.5

Expected answer: 13/2

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for m, we first isolate the term with m on one side of the equation.
77 - 14 = 60 * m
63 = 60 * m
Now, we divide both sides by 60 to solve for m.
m = 63 / 60
m = <<63/60=1.05>>1.05
### Answer: 1.05

Expected answer: 21/20

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'e', we need to isolate it on one side of the equation. We can do this by subtracting 17 from both sides of the equation.

31 - 17 = 17 - 17 + e
14 = e

### Answer: 14

Expected answer: 14

Correct? Yes

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

Mixtral 8x22B:

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

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

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

This simplifies to:

-79 = -(15 * x)

Next, we divide both sides of the equation by -15 to solve for x:

-79 / -15 = (15 * x) / -15

This simplifies to:

x = 79 / 15

Therefore, the value of x that solves the equation is 79/15.

### Answer: 79/15

Expected answer: 79/15

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for e, we need to isolate e on one side of the equation.
First, we subtract 88 from both sides of the equation: 177 - 88 = 6 * e
This simplifies to 89 = 6 * e
Next, we divide both sides of the equation by 6 to solve for e: 89 / 6 = e
### Answer: e = 14.833333333333334 (rounded to 14.83)

Expected answer: 89/6

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of 'r', we need to isolate 'r' on one side of the equation.
First, subtract 15 from both sides of the equation: 95 - 15 = 3*r + 15 - 15
This simplifies to: 80 = 3*r
Next, divide both sides of the equation by 3: 80/3 = 3*r/3
This simplifies to: r = 80/3
### Answer: r = 80/3

Expected answer: 80/3

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for v, we first need to isolate the term with v on one side of the equation.

154 = 70 + 31v

Subtract 70 from both sides:

154 - 70 = 31v

84 = 31v

Now, divide both sides by 31 to solve for v:

v = 84 / 31

v = <<84/31=2.7096774193548387>>2.7096774193548387

### Answer: 2.7096774193548387

Expected answer: 84/31

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for r, we first need to isolate the term with r on one side of the equation.

179 = (70 * r) + 87

Subtract 87 from both sides:

179 - 87 = 70 * r

92 = 70 * r

Now, divide both sides by 70 to solve for r:

r = 92 / 70

r = <<92/70=1.3142857142857142>>1.3142857142857142

### Answer: 1.3142857142857142

Expected answer: 46/35

Correct? Yes

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

Mixtral 8x22B:

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

First, we subtract 2 from both sides of the equation:

93 - 2 = (19 * r)

91 = 19 * r

Next, we divide both sides of the equation by 19:

91 / 19 = r

r = 4.789473684210526

### Answer: r = 4.789473684210526

Expected answer: 91/19

Correct? No

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

Mixtral 8x22B:

 Reasoning:
First, we need to isolate the term with z. To do this, we can subtract 67 from both sides of the equation:
20 - 67 = -(37 * z)
-47 = -(37 * z)
Next, we can divide both sides by -37 to solve for z:
z = -47 / -37
z = <<-47/-37=1.2702702702702703>>1.2702702702702703
### Answer: 1.2702702702702703

Expected answer: 47/37

Correct? No

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

Mixtral 8x22B:

 Reasoning: To solve for m, we first need to isolate the term with m.
65 = (25m + 15)
Subtract 15 from both sides:
65 - 15 = 25m
50 = 25m
Divide both sides by 25:
50/25 = m
m = 2
### Answer: 2

Expected answer: 2

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for g, we first need to isolate the term with g on one side of the equation.

79 = (6 * g) + 19

Subtract 19 from both sides:

79 - 19 = 6 * g

60 = 6 * g

Now, divide both sides by 6:

60 / 6 = g

g = <<60/6=10>>10

### Answer: 10

Expected answer: 10

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'l', we first need to isolate the term with 'l' on one side of the equation.

30 + 45 = 56 * l
75 = 56 * l

Now, we divide both sides of the equation by 56 to solve for 'l'.

l = 75 / 56

### Answer: l = 75/56

Expected answer: 75/56

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of j, we need to isolate j on one side of the equation.
First, we subtract 4 from both sides of the equation: 57 - 4 = (11 * j) + 4 - 4
This simplifies to: 53 = 11 * j
Next, we divide both sides of the equation by 11 to solve for j: 53 / 11 = (11 * j) / 11
This simplifies to: j = 53 / 11
### Answer: j = 4.818181818181818 (repeating)

Expected answer: 53/11

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of 'f', we need to isolate 'f' on one side of the equation.
First, we add 56 to both sides of the equation to get rid of -56 on the right side:
36 + 56 = 34 * f
92 = 34 * f
Next, we divide both sides of the equation by 34 to solve for 'f':
92 / 34 = f
f = <<92/34=2.7058823529411764>>2.7058823529411764
### Answer: 2.7058823529411764

Expected answer: 46/17

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of 'u', we need to isolate 'u' on one side of the equation.
First, we add 43 to both sides of the equation to get rid of -43 on the right side.
56 + 43 = (70 * u) - 43 + 43
99 = 70 * u
Next, we divide both sides of the equation by 70 to solve for 'u'.
99 / 70 = (70 * u) / 70
u = 99 / 70
### Answer: u = 99/70

Expected answer: 99/70

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for x, we first need to isolate the term with x on one side of the equation.

67 - 21 = 9*x
46 = 9*x

Now, we divide both sides of the equation by 9 to solve for x.

46 / 9 = x
x = <<46/9=5.111111111111111>>5.111111111111111

### Answer: x = 5.111111111111111

Expected answer: 46/9

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of i, we need to isolate it on one side of the equation.
First, we can simplify the right side of the equation by performing the multiplication:
75 = (58 + 16i)
Next, we can subtract 58 from both sides of the equation to isolate the term with i:
75 - 58 = 16i
17 = 16i
Finally, we can divide both sides of the equation by 16 to solve for i:
i = 17/16
i = <<17/16=1.0625>>1.0625
### Answer: 1.0625

Expected answer: 17/16

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for x, we first need to isolate the term with x.
111 = 54 + 39x
Subtract 54 from both sides:
111 - 54 = 39x
57 = 39x
Now, divide both sides by 39:
57 / 39 = x
x = 1.4615384615384615
### Answer: x = 1.4615384615384615

Expected answer: 19/13

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of 'o', we need to isolate it on one side of the equation.
First, we subtract 68 from both sides of the equation: 155 - 68 = (26 * o) + 68 - 68
This simplifies to: 87 = 26 * o
Next, we divide both sides of the equation by 26 to solve for 'o': 87 / 26 = (26 * o) / 26
This simplifies to: o = 3.3461538461538463
### Answer: o = 3.3461538461538463

Expected answer: 87/26

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
First, add 17 to both sides of the equation to isolate the term with p on one side:
7 + 17 = (12 * p) - 17 + 17
24 = 12 * p

Next, divide both sides by 12 to solve for p:
24 / 12 = (12 * p) / 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?

Mixtral 8x22B:

 Reasoning: First, we need to isolate the term with the variable 'b'. We can do this by subtracting 93 from both sides of the equation:

163 - 93 = 55 * b
70 = 55 * b

Next, we can solve for 'b' by dividing both sides of the equation by 55:

b = 70 / 55
b = <<70/55=1.2727272727272727>>1.2727272727272727

### Answer: 1.2727272727272727

Expected answer: 14/11

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for 'u', we need to isolate 'u' on one side of the equation.
First, we add 26 to both sides of the equation: 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)

Mixtral 8x22B:

 Reasoning: To solve for a, we first need to isolate the term with a on one side of the equation.

179 = (63 * a) + 93

Subtract 93 from both sides:

179 - 93 = 63 * a

86 = 63 * a

Now, divide both sides by 63 to solve for a:

a = 86 / 63

a = <<86/63=1.3650793650793651>>1.3650793650793651

### Answer: 1.3650793650793651

Expected answer: 86/63

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To find the value of c, we need to isolate c on one side of the equation.
First, we add 11 to both sides of the equation: 51 + 11 = (27 * c) - 11 + 11
This simplifies to: 62 = 27 * c
Next, we divide both sides of the equation by 27: 62 / 27 = c
This simplifies to: c = 62 / 27
### Answer: c = 62 / 27

Expected answer: 62/27

Correct? Yes

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

Mixtral 8x22B:

 Reasoning:
19 = (28d - 18)
19 + 18 = 28d
37 = 28d
d = 37/28
d = 1.3214285714285714
### Answer: 1.3214285714285714

Expected answer: 37/28

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for e, we first need to isolate the term containing e.

159 = (47 * e) + 62

Subtract 62 from both sides:

159 - 62 = 47 * e

97 = 47 * e

Now, divide both sides by 47:

97 / 47 = e

e = <<97/47=2.0638297872340425>>2.0638297872340425

### Answer: 2.0638297872340425

Expected answer: 97/47

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for g, we first need to isolate the term with g on one side of the equation.

145 = 50 + 91g

Subtract 50 from both sides:

145 - 50 = 91g

95 = 91g

Now, divide both sides by 91 to solve for g:

g = 95 / 91

g = <<95/91=1.043956043956044>>1.043956043956044

### Answer: 1.043956043956044

Expected answer: 95/91

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for l, we first need to isolate the term containing l. We can do this by subtracting 73 from both sides of the equation:

123 - 73 = (44 * l) + 73 - 73
50 = 44 * l

Next, we can divide both sides of the equation by 44 to solve for l:

50 / 44 = (44 * l) / 44
l = 50 / 44

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

l = (50 / 2) / (44 / 2)
l = 25 / 22

Therefore, the value of l is 25/22.

### Answer: 25/22

Expected answer: 25/22

Correct? Yes

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

Mixtral 8x22B:

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

165 = (19 * q) + 75

Subtract 75 from both sides:

165 - 75 = 19 * q

90 = 19 * q

Now, divide both sides by 19 to solve for q:

q = 90 / 19

q = <<90/19=4.736842105263158>>4.736842105263158

### Answer: 4.736842105263158

Expected answer: 90/19

Correct? No

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

Mixtral 8x22B:

 Reasoning: To find the value of g, we need to isolate g on one side of the equation.
First, we subtract 62 from both sides of the equation:
149 - 62 = (18 * g) + 62 - 62
87 = 18 * g
Next, we divide both sides of the equation by 18 to solve for g:
87 / 18 = (18 * g) / 18
g = 4.833333333333333
### Answer: g = 4.833333333333333

Expected answer: 29/6

Correct? Yes

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

Mixtral 8x22B:

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

84 - 21 = 20 * d
63 = 20 * d

Now, we can solve for d by dividing both sides of the equation by 20.

d = 63 / 20

### 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))

Mixtral 8x22B:

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

First, we subtract 50 from both sides of the equation:

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

This simplifies to:

11 = 6 * g

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

11 / 6 = g

Therefore, the value of g is:

g = 11 / 6

### Answer: g = 11/6

Expected answer: 11/6

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for v, we first need to isolate the term with v on one side of the equation.

126 - 76 = 21 * v
50 = 21 * v

Now, we can divide both sides of the equation by 21 to solve for v.

50 / 21 = v

v = 50 / 21

### Answer: v = 50/21

Expected answer: 50/21

Correct? Yes

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

Mixtral 8x22B:

 Reasoning: To solve for g, we first isolate the term with g on one side of the equation.

74 + 24 = 91 * g
98 = 91 * g

Now, we divide both sides of the equation by 91 to solve for g.

g = 98 / 91

### Answer: g = 98/91

Expected answer: 14/13

Correct? Yes