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

Mistral 7B:

 Reasoning: To solve for u, we first subtract 92 from both sides of the equation:
122 - 92 = 28 * u
30 = 28 * u
Now, we divide both sides by 28:
30 / 28 = u
u = 1.0714285714285714 (rounded to 10 decimal places)
However, since we are looking for a whole number, we can round this value to the nearest whole number, which is 1.
### Answer: u = 1

Expected answer: 15/14

Correct? No

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

Mistral 7B:

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

42 + 34 = 35 * i
76 = 35 * i
i = 76 / 35
i = <<76/35=2.1714285714285715>>2.1714285714285715 (approximately)
### Answer: 2.1714285714285715 (approximately)

Expected answer: 76/35

Correct? No

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

Mistral 7B:

 Reasoning: To solve for r, we first subtract 41 from both sides of the equation:
94 - 41 = 6 * r
53 = 6 * r

Next, we divide both sides by 6:
53 / 6 = r

### Answer: 8.833333333333334 (rounded to 8 decimal places)

Expected answer: 53/6

Correct? Yes

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

Mistral 7B:

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

158 - 94 = (19 * i)
64 = 19 * i
i = 64 / 19
### Answer: i = 64/19 ≈ 3.368421052631579

Note: The exact value of "i" cannot be expressed as a simple fraction, but it is an irrational number. The decimal approximation provided is rounded to 7 decimal places.

Expected answer: 64/19

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'q', we first subtract 54 from both sides of the equation:
134 - 54 = 30q
80 = 30q
Now, we divide both sides by 30:
80 / 30 = q
2.6666666666666668 = q
### Answer: 2.6666666666666668 (rounded to 8 decimal places)

Expected answer: 8/3

Correct? No

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

Mistral 7B:

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

94 - 27 = y
67 = y
### Answer: 67

Expected answer: 67

Correct? Yes

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

Mistral 7B:

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

First, add 70 to both sides of the equation:

9 + 70 = 23h

Then, subtract 70 from both sides:

79 = 23h

Finally, divide both sides by 23:

h = 79 / 23

### Answer: h = 3.434782608703704

(Note that the exact value of h cannot be expressed as a simple fraction, so it is given as a decimal.)

Expected answer: 79/23

Correct? No

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

Mistral 7B:

 Reasoning: To solve for t, we need to isolate t on one side of the equation. 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
66 / 33 = t

t = <<66/33=2>>2
### Answer: 2

Expected answer: 2

Correct? Yes

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

Mistral 7B:

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

123 - 29 = 15 * e
123 - 29 = e * 15
123 - 29 = e
e = (123 - 29) / 15
e = 94 / 15
e = 6.266666666666667
### Answer: 6.27 (rounded to two decimal places)

Expected answer: 94/15

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'k', we first add 80 to both sides of the equation:

16 + 80 = 75k

Then, we simplify the left side of the equation:

96 = 75k

Finally, we divide both sides by 75:

k = 96 / 75

### Answer: k = 1.28 (rounded to two decimal places)

Expected answer: 32/25

Correct? Yes

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

Mistral 7B:

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

First, subtract 89 from both sides of the equation:

131 - 89 = 5q
42 = 5q

Next, divide both sides by 5:

42 / 5 = q

### Answer: 8.4 (rounded to two decimal places)

Expected answer: 42/5

Correct? Yes

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

Mistral 7B:

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

147 - 56 = (38 * p)
91 = 38 * p
p = 91 / 38
### Answer: p = 91/38 ≈ 2.44736842105263

Since the question asks for an integer value of p, there is no integer solution for this equation.

Expected answer: 91/38

Correct? Yes

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

Mistral 7B:

 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 and then dividing by 42.

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

Using a calculator, we find that j ≈ 1.26. However, since 'j' is a variable representing a whole number, we can round up to the nearest whole number.

### Answer: j = 2

Note: In this case, rounding up to the nearest whole number is necessary because the equation is based on whole numbers, and the solution must also be a whole number. If the equation were based on decimal numbers, rounding would not be necessary.

Expected answer: 53/42

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'l', we first subtract 43 from both sides of the equation:

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

Now, we divide both sides by 25:

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)

Mistral 7B:

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

80 - 35 = 24w
45 = 24w

Now, we divide both sides by 24 to solve for w.

w = 45 / 24
w = <<45/24=1.875>>1.875
### Answer: 1.875

Expected answer: 15/8

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for x, we first need to isolate x.

77 = 33 + (14 * x)

77 - 33 = 14 * x

44 = 14 * x

x = 44 / 14

x = 3.142857142857143 (rounded to 7 decimal places)

However, since we are looking for a whole number, we can round down to x = 3.
### Answer: x = 3

Expected answer: 22/7

Correct? No

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

Mistral 7B:

 Reasoning: To solve for y, we first subtract 12 from both sides of the equation:
110 - 12 = 88 * y
98 = 88 * y

Next, we divide both sides by 88:
98 / 88 = y
1 = y
### Answer: 1

Expected answer: 49/44

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 's', we first subtract 80 from both sides of the equation to isolate the term with 's'.
179 - 80 = 82 * s
99 = 82 * s
Now, we divide both sides by 82 to solve for 's'.
s = 99 / 82
### Answer: s = 1.20732

(Note: The exact value of 's' is a decimal, but it can be rounded to a more practical number if needed.)

Expected answer: 99/82

Correct? No

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

Mistral 7B:

 Reasoning: To solve for m, we need to isolate m on one side of the equation. We can do this by subtracting 66 from both sides of the equation:

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

Now, we can divide both sides by 26 to solve for m:

63 / 26 = m
2.4230769230769235 (rounded to 10 decimal places)

However, since we are looking for a whole number, we can round down to the nearest whole number:

m = 2
### Answer: 2

Expected answer: 63/26

Correct? No

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

Mistral 7B:

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

82 + 17 = 27q
99 = 27q

Now, divide both sides by 27:

99 / 27 = q
3.63 (rounded to two decimal places) = q
### Answer: 3.63 (rounded to two decimal places)

Expected answer: 11/3

Correct? No

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

Mistral 7B:

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

141 = 64 + (22 * k)
141 - 64 = 22 * k
77 = 22 * k
k = 77 / 22
k = <<77/22=3.4545454545454546>>3.4545454545454546
### Answer: 3.4545454545454546 (rounded to 6 decimal places)

Expected answer: 7/2

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'v', we first subtract 91 from both sides of the equation:
175 - 91 = 45 * v
84 = 45 * v

Now, we divide both sides by 45:
84 / 45 = v

v = 1.8888888888889 (rounded to 9 decimal places)

However, since we are looking for a whole number, we can round 'v' to the nearest whole number, which is 2.
### Answer: v = 2

Expected answer: 28/15

Correct? No

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

Mistral 7B:

 Reasoning: To solve for k, we first add 18 to both sides of the equation:

50 + 18 = 63k
68 = 63k

Now, we divide both sides by 63:

68 / 63 = k

Using a calculator, we find that k ≈ 1.087. However, since k is a variable representing a whole number, we round up to the nearest whole number:

k = 1
### Answer: k = 1

Expected answer: 68/63

Correct? No

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

Mistral 7B:

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

65 + 10 = 8l
75 = 8l

Now, divide both sides by 8 to solve for l.

l = 75 / 8
l = <<75/8=9.375>>9.375 (rounded to four decimal places)
### Answer: 9.375 (rounded to four decimal places)

Expected answer: 75/8

Correct? No

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

Mistral 7B:

 Reasoning: To solve for u, we first need to isolate u in the equation.

5 + 34 = 10 * u
39 = 10 * u
u = 39 / 10
u = <<39/10=3.9>>3.9 (rounded to two decimal places)
### Answer: 3.9 (rounded to two decimal places)

Expected answer: 39/10

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'a', we need to isolate 'a' on one side of the equation. We can do this by subtracting 61 from both sides of the equation:

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

Now, we can divide both sides by 9 to solve for 'a':

30 / 9 = a
a = 3.3333333333333335

However, since 'a' is a variable representing a number of items, we can round it to the nearest whole number:

a = 3
### Answer: a = 3

Expected answer: 10/3

Correct? No

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

Mistral 7B:

 Reasoning: To solve for i, we need to isolate i on one side of the equation. We can do this by subtracting 61 from both sides of the equation and then dividing by 53.
i = (157 - 61) / 53
i = 96 / 53
### Answer: i = 96/53 ≈ 1.825744680851064

Alternatively, we can use the inverse of the multiplication operation (division) to solve for i. We can divide both sides of the equation by 53.
i = 157 / 53 - 61 / 53
i = 3 - 1
i = 2

However, this method does not give the exact decimal value, but rather the integer value.
### Answer: i = 2 (integer value) or i = 96/53 (exact decimal value)

Expected answer: 96/53

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for q, we first subtract 14 from both sides of the equation:
71 - 14 = 24q
57 = 24q
Now, we divide both sides by 24:
57 / 24 = q
2.375 ≈ q
### Answer: 2.375 (approximately)

Expected answer: 19/8

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for i, we first subtract 96 from both sides of the equation:
163 - 96 = 14 * i
67 = 14 * i
Now, we divide both sides by 14:
67 / 14 = i
i = 67 / 14
### Answer: i = 4.785714285714286 (rounded to 7 decimal places)

Expected answer: 67/14

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for e, we can first add 23 to both sides of the equation to isolate the term with e on one side:

59 + 23 = 70 * e
82 = 70 * e

Now, we can divide both sides by 70 to solve for e:

82 / 70 = e
1.1714285714285714 = e (rounded to 7 decimal places)
### Answer: e = 1.17142857

Alternatively, you can use a calculator to find the exact value of e, which is approximately 2.718281828459045. However, since the question asks for the value of e to 7 decimal places, the answer provided above is more accurate.

Expected answer: 41/35

Correct? No

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

Mistral 7B:

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

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

Now, divide both sides by 36:

73 / 36 = o

### Answer: 2

Note: The answer is a fraction, but since the question asks for an integer value for o, we round down to the nearest integer, which is 2.

Expected answer: 73/36

Correct? No

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

Mistral 7B:

 Reasoning: To solve for d, we first subtract 93 from both sides of the equation:
-93 + 71 = 13 * d
62 = 13 * d

Now, we divide both sides by 13:
62 / 13 = d

### Answer: 4.769230769230769 (rounded to 7 decimal places)

Note: Since d is a whole number, we can round this value to the nearest whole number, which is 5. However, since the original equation involves multiplication and subtraction, it's possible that there was a mistake in the problem, as the result cannot be a whole number. In that case, the equation would need to be adjusted to account for the discrepancy.

Expected answer: 22/13

Correct? No

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

Mistral 7B:

 Reasoning: To solve for n, we first subtract 64 from both sides of the equation:
118 - 64 = 6 * n
54 = 6 * n
Now, we divide both sides by 6:
54 / 6 = n
9 = n
### Answer: 9

Expected answer: 9

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'd', we first add 7 to both sides of the equation:
61 + 7 = 5d
68 = 5d
Now, we divide both sides by 5:
68 / 5 = d
d = 13.6
### Answer: 13.6 (rounded to two decimal places)

Expected answer: 68/5

Correct? Yes

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

Mistral 7B:

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

8 * z - 18 = 79

Add 18 to both sides of the equation:

8 * z = 97

Now, divide both sides by 8:

z = 97 / 8

### Answer: z = 12.125 (rounded to four decimal places)

Expected answer: 97/8

Correct? Yes

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

Mistral 7B:

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

First, subtract 63 from both sides of the equation:

129 - 63 = 2z

Then, subtract 63 from 129:

66 = 2z

Finally, divide both sides by 2:

66 / 2 = z

### Answer: 33

Expected answer: 33

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for e, we first subtract 29 from both sides of the equation:
127 - 29 = 32 * e
108 = 32 * e
Now, we divide both sides by 32:
108 / 32 = e
3.3125 = e (rounded to four decimal places)
### Answer: 3.3125

Expected answer: 49/16

Correct? No

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

Mistral 7B:

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

30 + 35 = 50x
65 = 50x

Now, divide both sides by 50 to solve for x.

x = 65 / 50
x = 1.3
### Answer: 1.3

Expected answer: 13/10

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for x, we first subtract 9 from both sides of the equation:

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

Now, we divide both sides by 10 to isolate x:

57 / 10 = x
5.7 = x (rounded to two decimal places)
### Answer: 5.70 (rounded to two decimal places)

Expected answer: 57/10

Correct? No

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

Mistral 7B:

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

First, subtract 51 from both sides of the equation:

103 - 51 = 38a
52 = 38a

Next, divide both sides by 38:

52 / 38 = a

### Answer: a = 52/38 ≈ 1.3684210526315789 (rounded to 7 decimal places)

Expected answer: 26/19

Correct? Yes

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

Mistral 7B:

 Reasoning: To find the value of f, we need to isolate f on one side of the equation.
First, subtract 8 from both sides of the equation: 105 - 8 = 28 * f
105 - 8 = 28 * f
103 = 28 * f
Now, divide both sides by 28: 103 / 28 = f
### Answer: 3.67857142857143 (rounded to 7 decimal places)

Expected answer: 97/28

Correct? No

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

Mistral 7B:

 Reasoning: To solve for u, we first subtract 63 from both sides of the equation:

12 + 50 * u = 63

Then, we divide both sides by -50:

(12 + 50 * u) / -50 = 63 / -50

This simplifies to:

u = -63 / -50

To simplify the fraction, we find the least common multiple of 12 and 50, which is 60. Then, we multiply both the numerator and denominator by 3 (since 60 = 12 * 3 + 12):

u = (-63 * 3) / (50 * 3)

This simplifies to:

u = -189 / 150

### Answer: u = -189/150

Expected answer: 51/50

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'b', we first subtract 42 from both sides of the equation:
60 - 42 = 10 * b
18 = 10 * b

To find the value of 'b', we divide both sides of the equation by 10:
18 / 10 = b
1.8 = b
### Answer: 1.8

Expected answer: 9/5

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'j', we first subtract 13 from both sides of the equation:

84 - 13 = 25j
71 = 25j

Now, we divide both sides by 25:

71 / 25 = j
2.84 = j (rounded to two decimal places)
### Answer: 2.84 (rounded to two decimal places)

Expected answer: 71/25

Correct? No

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

Mistral 7B:

 Reasoning: To solve for s, we first subtract 91 from both sides of the equation:
153 - 91 = 5 * s
62 = 5 * s
Now, we divide both sides by 5:
62 / 5 = s
### Answer: 12.4 ...............(Note: Since s is a variable representing a number of items, the answer should be a whole number. However, the given equation leads to a decimal answer. This indicates that there might be a mistake in the problem statement.)

Expected answer: 62/5

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for g, we first need to isolate g on one side of the equation.
65 - 22 = 30 * g
43 = 30 * g
To find g, we divide both sides by 30.
g = 43 / 30
### Answer: g = 1.4333333333333333 (rounded to 7 decimal places)

Expected answer: 43/30

Correct? No

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

Mistral 7B:

 Reasoning: To solve for f, we first subtract 10 from both sides of the equation:
96 - 10 = 29 * f
86 = 29 * f
Now, we divide both sides by 29:
86 / 29 = f
### Answer: 3

Alternatively, we can use the inverse of multiplication, which is division, to solve for f:
96 / 29 = 3.48275862069 (approximately)
Since we are looking for an integer value for f, we round down to the nearest whole number:
f = 3

Expected answer: 86/29

Correct? No

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

Mistral 7B:

 Reasoning: To solve for q, we first subtract 19 from both sides of the equation:
80 - 19 = 14 * q
61 = 14 * q
Now, we divide both sides by 14:
61 / 14 = q
q = 4.357142857142857
### Answer: q = 4.357142857142857 (rounded to 7 decimal places)

Expected answer: 61/14

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'm', we first subtract 95 from both sides of the equation:

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

Now, we divide both sides by 46:

50 / 46 = m

### Answer: m = 50 / 46 ≈ 1.087 (rounded to two decimal places)

Expected answer: 25/23

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'i', we first subtract 13 from both sides of the equation:
68 - 13 = 6 * i
55 = 6 * i
Now, we divide both sides by 6:
55 / 6 = i
### Answer: i = 55/6 ≈ 9.1667 (rounded to four decimal places)

Expected answer: 55/6

Correct? Yes

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

Mistral 7B:

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

25 + 61 = 74 * h
66 = 74 * h

Now, divide both sides by 74 to solve for h.

h = 66 / 74
h = 0.8918918918918919 (rounded to 10 decimal places)

However, since we are only asking for the value of h to the nearest whole number, we round it to the nearest whole number.

h = 1 (rounded down)
### Answer: 1

Expected answer: 43/37

Correct? No

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

Mistral 7B:

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

51 + 30 = 6q
81 = 6q
q = 81 / 6
q = <<81/6=13.5>>13.5 (However, since the solution must be a whole number, we round down to the nearest whole number, which is 13.)
### Answer: 13

Expected answer: 27/2

Correct? No

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

Mistral 7B:

 Reasoning: To find the value of r, we first solve for r in the given linear equation:

38 = 81 - 36 * r
36 * r = 81 - 38
36 * r = 43
r = 43 / 36

### Answer: r = 43/36 ≈ 1.1944444444444444 (rounded to 10 decimal places)

Expected answer: 43/36

Correct? Yes

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

Mistral 7B:

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

90 = 23 + (56 * a)
90 - 23 = 56 * a
67 = 56 * a

Now, we divide both sides by 56 to solve for 'a'.

a = 67 / 56
a ≈ 1.19643

### Answer: a ≈ 1.19643 (rounded to 4 decimal places)

Expected answer: 67/56

Correct? No

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

Mistral 7B:

 Reasoning: To solve for h, we first subtract 13 from both sides of the equation:
81 - 13 = 30 * h
68 = 30 * h
Now, we divide both sides by 30:
68 / 30 = h
h = 2.2666666666666668
### Answer: h = 2.2666666666666668 (rounded to 7 decimal places)

Expected answer: 34/15

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for m, we first subtract 69 from both sides of the equation:

160 - 69 = 62m
91 = 62m

Now, we divide both sides by 62:

m = 91 / 62

### Answer: m = 1.4607843137254902 (rounded to 7 decimal places)

Expected answer: 91/62

Correct? No

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

Mistral 7B:

 Reasoning: To solve for q, we first subtract 69 from both sides of the equation:
100 - 69 = 28 * q
31 = 28 * q
Now, we divide both sides by 28:
31 / 28 = q
### Answer: 1.1071428571428572 (rounded to 10 decimal places)

Expected answer: 31/28

Correct? No

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

Mistral 7B:

 Reasoning: To solve for w, we first subtract 94 from both sides of the equation:

192 - 94 = 98w
98

Now, we divide both sides by 98:

w = (192 - 94) / 98

w = 98/98

w = 1
### Answer: 1

Expected answer: 1

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we solve the equation for y by following the order of operations (PEMDAS/BODMAS).

40 = 93 - 33 * y

40 + 33 * y = 93

33 * y = 93 - 40

33 * y = 53

y = 53 / 33

y = <<53/33=1.6060606060606063>>1.6060606060606063 (approximately)
### Answer: 1.6060606060606063 (approximately)

Expected answer: 53/33

Correct? No

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

Mistral 7B:

 Reasoning: To solve for u, we first isolate u by adding 20 to both sides of the equation:

74 + 20 = 48u
94 = 48u

Now, we divide both sides by 48 to solve for u:

u = 94 / 48

### Answer: u = 1.9583333333333333 (rounded to 10 decimal places)

Expected answer: 47/24

Correct? No

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

Mistral 7B:

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

First, add 76 to both sides of the equation:

13 + 76 = 86 * f
89 = 86 * f

Next, divide both sides by 86:

89 / 86 = f

### Answer: f = 89 / 86 ≈ 1.0349

Note: The answer is not a whole number because the equation involves division.

Expected answer: 89/86

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for c, we first need to isolate c in the equation.

122 = 36 + (56 * c)
122 - 36 = 56 * c
86 = 56 * c

Now, we can solve for c by dividing both sides of the equation by 56:

c = 86 / 56
c = 1.542857142857143

However, since we are looking for a whole number, we can round c to the nearest whole number:

c = 2
### Answer: 2

Expected answer: 43/28

Correct? No

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

Mistral 7B:

 Reasoning: To solve for q, we first subtract 99 from both sides of the equation:
81 * q = 87
Then, we divide both sides by 81:
q = 87 / 81
### Answer: q = 1.0777777777778 (rounded to 7 decimal places)

Expected answer: 29/27

Correct? No

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

Mistral 7B:

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

First, subtract 77 from both sides of the equation:

120 - 77 = 42 * u

43 = 42 * u

Now, divide both sides by 42:

43 / 42 = u

u = 1
### Answer: 1

Expected answer: 43/42

Correct? No

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

Mistral 7B:

 Reasoning: To solve for j, we first subtract 52 from both sides of the equation:
103 - 52 = 6 * j
51 = 6 * j
Now, we divide both sides by 6:
51 / 6 = j
j = 8.5
### Answer: 8.5 (rounded to two decimal places)

Expected answer: 17/2

Correct? No

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

Mistral 7B:

 Reasoning: To solve for n, we first subtract 4n from both sides of the equation:
56 + 4n = 82
Then, we subtract 56 from both sides:
4n = 26
Finally, we divide both sides by 4:
n = 26 / 4
### Answer: n = 6.5 (Since n is a variable representing a whole number of clips, we can round down to 6 since she cannot sell a fraction of a clip.)

Expected answer: 13/2

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for m, we first subtract 14 from both sides of the equation:
60 * m = 77 - 14
Then, we divide both sides by 60:
m = (77 - 14) / 60
### Answer: m = 59/6

Alternatively, we can use the inverse of multiplication (division) and the inverse of addition (subtraction) to solve for m:
m = (77 - 14) / 60
### Answer: m = 59/6

Expected answer: 21/20

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'e', subtract 17 from both sides of the equation.
e = 31 - 17
e = <<31-17=14>>14
### Answer: 14

Expected answer: 14

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for x, we first subtract 2 from both sides of the equation:

2 - 2 = 81 - (15 * x) - 2
0 = 81 - (15 * x)

Next, we divide both sides by 15:

0 / 15 = (81 - (15 * x)) / 15
0 = 81/15 - x

Now, we multiply both sides by 15 to isolate x:

0 * 15 = 81/15 - x * 15
0 = 81 - 15x

Finally, we subtract 81 from both sides:

-81 = -15x

To solve for x, we divide both sides by -15:

x = 81 / -15

Since division by a negative number results in a negative value, we can simplify the fraction by multiplying both the numerator and denominator by -1:

x = (-81) / 15

To simplify the fraction, we can factor out a common factor of 3 from the numerator:

x = (-27 * 3) / 15

Now, we can cancel out the common factor of 3 from the numerator and denominator:

x = -27/5

### Answer: x = -27/5

Expected answer: 79/15

Correct? No

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

Mistral 7B:

 Reasoning: To solve for e, we first subtract 88 from both sides of the equation:
177 - 88 = 6 * e
89 = 6 * e
To find the value of e, we divide both sides by 6:
e = 89 / 6
### Answer: e = 14.833333333333334 (rounded to 10 decimal places)

Expected answer: 89/6

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for 'r', we first subtract 15 from both sides of the equation:
95 - 15 = 3*r
80 = 3*r
Now, we divide both sides by 3:
80 / 3 = r
### Answer: r = 80/3 ≈ 26.67 (rounded to two decimal places)

Expected answer: 80/3

Correct? Yes

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

Mistral 7B:

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

154 = 70 + (31 * v)

Subtract 70 from both sides:

154 - 70 = 70 + (31 * v) - 70

This simplifies to:

84 = 31 * v

Now, divide both sides by 31:

84 / 31 = v

### Answer: v = 84 / 31 ≈ 2.71

Note: The exact value of v cannot be expressed as a whole number because it is a rational number with an irreducible fraction as its simplest form.

Expected answer: 84/31

Correct? Yes

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

Mistral 7B:

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

First, subtract 87 from both sides of the equation:

179 - 87 = 70r
92 = 70r

Next, divide both sides by 70:

92 / 70 = r

### Answer: r = 92/70 ≈ 1.3143 (rounded to four decimal places)

Expected answer: 46/35

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for r, we first subtract 2 from both sides of the equation:

93 - 2 = 19r
91 = 19r

Now, we divide both sides by 19:

91 / 19 = r
4.74 = r (rounded to two decimal places)
### Answer: 4.74 (rounded to two decimal places)

Expected answer: 91/19

Correct? No

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

Mistral 7B:

 Reasoning: To solve for z, we first multiply 37 by z and subtract the result from 67. Then, we subtract 20 from the result.
67 - (37 * z) - 20 = 0
67 - 37z - 20 = 0
37z = 47
z = 47 / 37
### Answer: z = 47/37 ≈ 1.2702702702702703 (rounded to 10 decimal places)

Expected answer: 47/37

Correct? Yes

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

Mistral 7B:

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

65 - 15 = (25 * m)
50 = 25 * m

Now, divide both sides by 25 to solve for m.

m = 50 / 25
m = <<50/25=2>>2
### Answer: 2

Expected answer: 2

Correct? Yes

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

Mistral 7B:

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

First, subtract 19 from both sides of the equation:

79 - 19 = 6g

Then, subtract 6 from both sides of the equation:

60 = 6g

Finally, divide both sides of the equation by 6:

60 / 6 = g

### Answer: 10

Expected answer: 10

Correct? Yes

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

Mistral 7B:

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

30 + 45 = 56 * l
85 = 56 * l

Now, divide both sides by 56 to solve for 'l'.

l = 85 / 56
l = 1.517857142857143 (rounded to 7 decimal places)

However, since we are only asking for the whole number, we can round 'l' to the nearest whole number.

l = 2 (rounded)
### Answer: 2 (rounded)

Expected answer: 75/56

Correct? No

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

Mistral 7B:

 Reasoning: To solve for j, we first subtract 4 from both sides of the equation:
57 - 4 = 11j
53 = 11j
Now, we divide both sides by 11:
53 / 11 = j
j = 53 / 11 ≈ 4.8182
### Answer: j ≈ 4.8182 (rounded to four decimal places)

Expected answer: 53/11

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'f', we can first isolate 'f' on one side of the equation.

36 + 56 = 34 * f
92 = 34 * f

Now, divide both sides by 34:

92 / 34 = f
2.7058823529411765 = f (rounded to 7 decimal places)

However, since we are only asking for the value of 'f' to the nearest whole number, we can round it to the nearest integer:

f = 3 (rounded)
### Answer: 3

Expected answer: 46/17

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'u', we can first isolate 'u' by adding 43 to both sides of the equation:

56 + 43 = 70 * u
99 = 70 * u

Now, we can divide both sides by 70 to find the value of 'u':

u = 99 / 70

### Answer: u = 1.4142857142857143 (rounded to 7 decimal places)

Expected answer: 99/70

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for x, we first subtract 21 from both sides of the equation:
67 - 21 = 9*x
46 = 9*x
Now, we divide both sides by 9:
46 / 9 = x
### Answer: x = 46/9 ≈ 5.11 (rounded to two decimal places)

Expected answer: 46/9

Correct? Yes

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

Mistral 7B:

 Reasoning: To find the value of i, we need to isolate i in the equation.
First, subtract 58 from both sides of the equation:
75 - 58 = 16 * i
17 = 16 * i

Now, divide both sides by 16:
17 / 16 = i

Rounding to two decimal places, the value of i is approximately:
### Answer: i ≈ 1.0625

Alternatively, if you want the exact value, you can use the quadratic formula to solve for i:
i = (-b ± √(b² - 4ac)) / 2a
i = (-16 ± √(16² - 4 * 75 * 1)) / 2 * 1
i = (-16 ± √(256 - 300)) / 2
i = (-16 ± √(-44)) / 2
i = (-16 ± 2√11) / 2

Since the question asks for the positive value, the final answer is:
### Answer: i = (-16 + 2√11) / 2

Expected answer: 17/16

Correct? No

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

Mistral 7B:

 Reasoning: To solve for x, we first need to isolate x. We can do this by subtracting 54 from both sides of the equation:

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

57 = 39 * x

Now, we can solve for x by dividing both sides by 39:

x = 57 / 39

### Answer: x = 1.4615384615384615 (rounded to 10 decimal places)

Expected answer: 19/13

Correct? No

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

Mistral 7B:

 Reasoning: To solve for 'o', we first subtract 68 from both sides of the equation:

155 - 68 = 26 * o
87 = 26 * o

Now, we divide both sides by 26:

87 / 26 = o
3.346153846153846 (rounded to 7 decimal places)

However, since we are looking for a whole number, we round down to the nearest whole number:

o = 3
### Answer: 3

Expected answer: 87/26

Correct? No

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

Mistral 7B:

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

7 + 17 = 12 * p
24 = 12 * p

Now, divide both sides by 12 to solve for p.

p = 24 / 12
p = <<24/12=2>>2
### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?

Mistral 7B:

 Reasoning: To solve for 'b', we first subtract 93 from both sides of the equation:
163 - 93 = 55 * b
70 = 55 * b
Now, we divide both sides by 55:
70 / 55 = b
b = 1.2727272727272728 (rounded to 8 decimal places)
### Answer: b = 1.27272727

Alternatively, we can use cross-multiplication to solve for 'b':
(55 * b) / 1 = 93 + 163
b = (93 + 163) / 55
b = 2.5818181818181818 (rounded to 8 decimal places)
### Answer: b = 2.58181818

Expected answer: 14/11

Correct? No

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

Mistral 7B:

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

62 + 26 = u - 26 + 26
88 = u
### Answer: 88

Expected answer: 88

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for a, we first subtract 93 from both sides of the equation:

179 - 93 = 63a
86 = 63a

Now, we divide both sides by 63:

86 / 63 = a

### Answer: a = 86 / 63 ≈ 1.3888888888889 (rounded to 8 decimal places)

Expected answer: 86/63

Correct? Yes

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

Mistral 7B:

 Reasoning: To find the value of c, we need to isolate c in the equation.
First, add 11 to both sides of the equation:
51 + 11 = 27c
62 = 27c
Now, divide both sides by 27:
62 / 27 = c
Approximately, c = <<62/27=2.3>>2.3 (rounded to two decimal places)
### Answer: Approximately 2.3 (rounded to two decimal places)

Expected answer: 62/27

Correct? No

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

Mistral 7B:

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

19 + 18 = 28 * d
37 = 28 * d

Now, we divide both sides by 28 to solve for 'd'.

d = 37 / 28
d = 1.325 (rounded to four decimal places)
### Answer: 1.325 (rounded to four decimal places)

Expected answer: 37/28

Correct? No

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

Mistral 7B:

 Reasoning: To solve for e, we first subtract 62 from both sides of the equation:
159 - 62 = 47e
97 = 47e
Now, divide both sides by 47:
e = 97 / 47
### Answer: e = 2

Alternatively, you can also solve this equation by multiplying both sides by 47/47:
(47 * e + 62) * (47/47) = 159 * (47/47)
47e + 62 * (47/47) = 159
47e + 62 = 159
47e = 159 - 62
47e = 97
e = 97 / 47
### Answer: e = 2

Expected answer: 97/47

Correct? No

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

Mistral 7B:

 Reasoning: To solve for g, we first subtract 50 from both sides of the equation:
145 - 50 = 91 * g
95 = 91 * g

Next, we divide both sides by 91 to isolate g:
g = 95 / 91
### Answer: g = 1.0442 (rounded to 4 decimal places)

Expected answer: 95/91

Correct? No

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

Mistral 7B:

 Reasoning: To solve for l, we first subtract 73 from both sides of the equation:
123 - 73 = 44l
40 = 44l
Now, we divide both sides by 44:
l = 40 / 44
### Answer: l = 9/11 ≈ 0.8181818181818182 (rounded to 9 decimal places)

Expected answer: 25/22

Correct? No

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

Mistral 7B:

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

First, subtract 75 from both sides of the equation:
165 - 75 = (19 * q) + 75 - 75
90 = 19 * q

Next, divide both sides by 19:
90 / 19 = q

### Answer: 4.74 (rounded to two decimal places)

Expected answer: 90/19

Correct? No

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

Mistral 7B:

 Reasoning: To solve for g, we first subtract 62 from both sides of the equation:
149 - 62 = 18g
87 = 18g
Now, we divide both sides by 18:
87 / 18 = g
5.444444444444444 = g (rounded to 7 decimal places)
### Answer: 5.4444444 (rounded to 7 decimal places)

Expected answer: 29/6

Correct? No

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

Mistral 7B:

 Reasoning: To solve for d, we need to isolate d on one side of the equation. We can do this by subtracting 20d from both sides of the equation and then subtracting 21 from both sides.

84 - 20d - 21 = 20d + 20d - 21 - 21

This simplifies to:

63 = 40d

Now, to solve for d, we divide both sides by 40:

d = 63 / 40

### Answer: d = 1.575

Note: Since d is a variable representing a quantity of items, the answer is not a decimal. In this case, we can round the answer to the nearest whole number, which is 2. This means that Natalia sold approximately 2 clips in May. However, if we want to keep the exact value, we can leave it as a decimal.

Expected answer: 63/20

Correct? No

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

Mistral 7B:

 Reasoning: To solve for g, we first subtract 50 from both sides of the equation:
61 - 50 = 6 * g
11 = 6 * g

Next, we divide both sides by 6:
11 / 6 = g

### Answer: g = 11/6 ≈ 1.8333333333333335 (rounded to 8 decimal places)

Expected answer: 11/6

Correct? Yes

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

Mistral 7B:

 Reasoning: To solve for v, we first subtract 76 from both sides of the equation:

126 - 76 = 21 * v

50 = 21 * v

Now, we divide both sides by 21:

50 / 21 = v

### Answer: v = 50 / 21 ≈ 2.38 (rounded to two decimal places)

Expected answer: 50/21

Correct? Yes

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

Mistral 7B:

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

74 + 24 = 91g
98 = 91g
98 / 91 = g

Rounding to two decimal places, we get:

g = 1.077 (rounded)
### Answer: g = 1.08 (rounded)

Expected answer: 14/13

Correct? No