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

GPT-3.5 Turbo:

To solve the equation 122 = 92 + 28u for u, we first subtract 92 from both sides to isolate the term with u:

122 - 92 = 92 + 28u - 92,
30 = 28u.

Next, we divide both sides by 28 to solve for u:

30/28 = (28u)/28,
u = 30/28.

Therefore, u = 15/14.
### Answer: u = 15/14.

Expected answer: 15/14

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( i \), we first isolate the term with \( i \) by moving the constant term to the other side of the equation:

\( 42 = 35i - 34 \)

Adding 34 to both sides gives:

\( 42 + 34 = 35i \)

\( 76 = 35i \)

Finally, divide by 35 to solve for \( i \):

\( i = \frac{76}{35} \)

### Answer: \( i = \frac{76}{35} \)

Expected answer: 76/35

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 94 = 41 + 6r, we first subtract 41 from both sides to isolate the term with r:
94 - 41 = 41 - 41 + 6r
53 = 6r
Next, we divide both sides by 6 to solve for r:
r = 53/6
r = 8.83
### Answer: r = 8.83

Expected answer: 53/6

Correct? No

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

GPT-3.5 Turbo:

To find the value of \( i \), we need to isolate \( i \) in the equation. 

Given: \( 158 = 19i + 94 \)

Subtract 94 from both sides:
\( 158 - 94 = 19i \)
\( 64 = 19i \)

Divide by 19 on both sides:
\( i = \frac{64}{19} \)

Therefore, \( i = \frac{64}{19} \) or approximately \( i \approx 3.3684 \).

### Answer: \( i = \frac{64}{19} \) or approximately \( i \approx 3.3684 \).

Expected answer: 64/19

Correct? Yes

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

GPT-3.5 Turbo:

First, we need to isolate 'q' by performing the inverse operations. 

1. Subtract 54 from both sides:
134 - 54 = 30q
80 = 30q

2. Divide by 30 on both sides to solve for 'q':
80/30 = q
q = 2.67

### 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)

GPT-3.5 Turbo:

To solve the equation 94 = 27 + y for y, we need to isolate y by subtracting 27 from both sides:
94 - 27 = 27 + y - 27,
67 = y.
Therefore, the value of y is y = 67.
### Answer: y = 67

Expected answer: 67

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 9 = 23h - 70 for h, we first isolate the term with h by adding 70 to both sides:
9 + 70 = 23h
79 = 23h
Next, we divide both sides by 23 to solve for h:
h = 79/23
h = 3.4347826087 (rounded to 10 decimal places)
### Answer: h = 3.4347826087.

Expected answer: 79/23

Correct? No

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

GPT-3.5 Turbo:

To solve for \( t \), we need to isolate \( t \) on one side of the equation. 

First, we subtract 26 from both sides of the equation:

\( 92 - 26 = 33t \)  
\( 66 = 33t \)  

Next, we divide both sides by 33 to solve for \( t \):

\( t = \frac{66}{33} \)  
\( t = 2 \)  

### Answer: \( t = 2 \)

Expected answer: 2

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 123 = 15e + 29 for e, we first isolate the term with e by subtracting 29 from both sides:
123 - 29 = 15e
94 = 15e
Next, we divide both sides by 15 to solve for e:
e = 94/15
e = 6.27
### Answer: e = 6.27

Expected answer: 94/15

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 16 = 75k - 80 for k, we first add 80 to both sides to isolate the term with k:

16 + 80 = 75k - 80 + 80
96 = 75k

Next, we divide both sides by 75 to solve for k:

k = 96/75
k = 1.28

### Answer: k = 1.28

Expected answer: 32/25

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( q \), we first isolate the term with \( q \) by subtracting 89 from both sides:

\( 131 - 89 = 5q \)

\( 42 = 5q \)

Next, we divide both sides by 5 to solve for \( q \):

\( q = \frac{42}{5} \)

\( q = 8.4 \)

### Answer: \( q = 8.4 \)

Expected answer: 42/5

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: To find the value of \( p \), we need to isolate \( p \) in the equation.
\( 147 = 38p + 56 \)
Subtract 56 from both sides:
\( 147 - 56 = 38p \)
\( 91 = 38p \)
Divide by 38 on both sides:
\( p = \frac{91}{38} \)
### Answer: \( p = \frac{91}{38} \)

Expected answer: 91/38

Correct? Yes

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

GPT-3.5 Turbo:

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

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

Next, we divide both sides by 42 to solve for 'j':
j = 53/42
j = 1.2619 (rounded to four decimal places)

### Answer: j = 1.2619.

Expected answer: 53/42

Correct? No

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

GPT-3.5 Turbo:

To solve for 'l', we first isolate 'l' by subtracting 43 from both sides:

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

Next, we divide both sides by 25 to solve for 'l':

l = 95 / 25
l = 3.8

### Answer: l = 3.8

Expected answer: 19/5

Correct? Yes

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

GPT-3.5 Turbo:

First, we need to isolate the variable w by subtracting 35 from both sides of the equation:
80 - 35 = 24w
45 = 24w
Next, we divide both sides by 24 to solve for w:
45/24 = w
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))

GPT-3.5 Turbo:

First, we simplify the equation by performing the multiplication inside the parentheses:
33 + (14 * x) = 33 + 14x

Now, we substitute this back into the original equation:
77 = 33 + 14x

Next, we isolate the variable by subtracting 33 from both sides:
77 - 33 = 33 - 33 + 14x
44 = 14x

Finally, we solve for x by dividing both sides by 14:
x = 44/14
x = 3.143

### Answer: x = 3.143

Expected answer: 22/7

Correct? No

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

GPT-3.5 Turbo:

First, we need to isolate the variable y by subtracting 12 from both sides of the equation:
110 - 12 = 12 + 88y - 12,
98 = 88y.

Next, we divide both sides by 88 to solve for y:
y = 98/88,
y = 1.1136.

### Answer: y = 1.1136.

Expected answer: 49/44

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 179 = 82s + 80 for s, we first isolate the term with s by subtracting 80 from both sides:

179 - 80 = 82s + 80 - 80,
99 = 82s.

Next, we isolate s by dividing both sides by 82:

99/82 = 82s/82,
s = 99/82.

Therefore, s = 99/82.
### Answer: s = 99/82.

Expected answer: 99/82

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \(m\), we need to isolate \(m\) on one side of the equation.

Given equation: \(129 = 26m + 66\)

Subtract 66 from both sides:
\(129 - 66 = 26m\)
\(63 = 26m\)

Divide by 26 on both sides:
\(\frac{63}{26} = m\)

So, \(m = \frac{63}{26}\).

### Answer: \(m = \frac{63}{26}\)

Expected answer: 63/26

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 82 = 27q - 17 for q, we first isolate the term with q by adding 17 to both sides:

82 + 17 = 27q  
99 = 27q  

Next, we divide both sides by 27 to solve for q:

99/27 = q  
q = 3  

### Answer: q = 3

Expected answer: 11/3

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 141 = 64 + 22k for k, we first need to isolate the variable k.

Subtract 64 from both sides:
141 - 64 = 64 + 22k - 64
77 = 22k

Divide both sides by 22 to solve for k:
77/22 = 22k/22
k = 77/22

Therefore, k = 3.5.

### 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

GPT-3.5 Turbo:

First, we need to isolate the variable 'v' by performing the necessary operations to solve for it. 

Subtract 91 from both sides of the equation:
175 - 91 = 91 - 91 + 45v
84 = 45v

Divide both sides by 45 to solve for 'v':
84/45 = 45v/45
v = 1.86666666667

### Answer: v = 1.86666666667

Expected answer: 28/15

Correct? No

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

GPT-3.5 Turbo:

To solve for \( k \), we first isolate the term with \( k \) by moving the constant term to the other side of the equation:

\( 50 = 63k - 18 \)

Adding 18 to both sides:

\( 50 + 18 = 63k \)

\( 68 = 63k \)

Dividing by 63:

\( k = \frac{68}{63} \)

Therefore, \( k = \frac{68}{63} \) or approximately \( k \approx 1.0794 \).

### Answer: \( k = \frac{68}{63} \) or approximately \( k \approx 1.0794 \).

Expected answer: 68/63

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( l \), we first isolate the term with \( l \) by moving the constant term to the other side of the equation:

\( 65 = 8l - 10 \)

Add 10 to both sides:

\( 65 + 10 = 8l \)

\( 75 = 8l \)

Divide by 8:

\( l = \frac{75}{8} \)

\( l = 9.375 \)

### Answer: \( l = 9.375 \)

Expected answer: 75/8

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation, we first isolate the variable u by adding 34 to both sides and then dividing by 10:
5 + 34 = 10u
39 = 10u
u = 39/10
u = 3.9
### 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

GPT-3.5 Turbo:

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

Given equation: 91 = 9a + 61

Subtract 61 from both sides:
91 - 61 = 9a
30 = 9a

Divide by 9 on both sides to solve for 'a':
30/9 = a
a = 10

### Answer: a = 10

Expected answer: 10/3

Correct? No

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

GPT-3.5 Turbo:

To solve for \(i\), we need to isolate \(i\) on one side of the equation.

First, we subtract 61 from both sides of the equation:
\[ 157 - 61 = 53i \]
\[ 96 = 53i \]

Next, we divide both sides by 53 to solve for \(i\):
\[ i = \frac{96}{53} \]

Therefore, \( i = \frac{96}{53} \).

### Answer: \( i = \frac{96}{53} \)

Expected answer: 96/53

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 71 = 24q + 14 for q, we first isolate the term with q by subtracting 14 from both sides:
71 - 14 = 24q
57 = 24q
Next, we divide both sides by 24 to solve for q:
q = 57/24
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

GPT-3.5 Turbo:

To solve for the value of \( i \), we first isolate the term with \( i \) on one side of the equation.

Given equation: \( 163 = 96 + 14i \)

Subtract 96 from both sides:
\( 163 - 96 = 96 - 96 + 14i \)
\( 67 = 14i \)

Divide by 14 on both sides to solve for \( i \):
\( i = \frac{67}{14} \)

Therefore, \( i = 4.7857 \) (rounded to four decimal places).

### Answer: \( i = 4.7857 \)

Expected answer: 67/14

Correct? No

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

GPT-3.5 Turbo:

To solve for the value of \( e \), we first isolate \( e \) by adding 23 to both sides of the equation:

\( 59 + 23 = 70e \)  
\( 82 = 70e \)  

Next, we divide both sides by 70 to solve for \( e \):

\( e = \frac{82}{70} \)  
\( e = \frac{41}{35} \)  
\( e = 1.17142857143 \)  

### Answer: \( e = 1.17142857143 \)

Expected answer: 41/35

Correct? No

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

GPT-3.5 Turbo:

To solve for \( o \), we first isolate \( 36 \times o \) by subtracting 74 from both sides:

\( 147 - 74 = 36 \times o \)  
\( 73 = 36 \times o \)  

Next, we divide both sides by 36 to solve for \( o \):

\( o = \frac{73}{36} \)  
\( o = 2.02777777778 \)  

### Answer: \( o = 2.03 \)

Expected answer: 73/36

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 71 = 93 - 13d, we first isolate the term involving d by subtracting 93 from both sides:

71 - 93 = 93 - 93 - 13d
-22 = -13d

Next, we solve for d by dividing both sides by -13:

-22 / -13 = -13d / -13
d = 22/13
d = 1.6923 (rounded to four decimal places)

### Answer: d = 1.6923.

Expected answer: 22/13

Correct? No

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

GPT-3.5 Turbo:

Reasoning: To solve for \( n \), we first subtract 64 from both sides of the equation:
\[ 118 - 64 = 6n \]
\[ 54 = 6n \]
Next, we divide both sides by 6 to solve for \( n \):
\[ n = \frac{54}{6} \]
\[ n = 9 \]
### Answer: \( n = 9 \)

Expected answer: 9

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation, we first isolate the variable 'd' by undoing the operations in reverse order.

1. Add 7 to both sides:
61 + 7 = 5d
68 = 5d

2. Divide by 5:
d = 68/5
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)

GPT-3.5 Turbo:

To solve the equation 79 = 8z - 18 for z, we first add 18 to both sides to isolate the term with z:
79 + 18 = 8z
97 = 8z
Next, we divide both sides by 8 to solve for z:
z = 97/8
z = 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)

GPT-3.5 Turbo:

To solve the equation, we first need to isolate the variable z.
Subtract 63 from both sides:
129 - 63 = 2z
66 = 2z
Divide by 2 on both sides:
66/2 = z
33 = z
### Answer: z = 33

Expected answer: 33

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( e \), we first distribute the 32 on the right side of the equation:
\[ 127 = 29 + 32e \]
Next, we isolate the term with \( e \) by subtracting 29 from both sides:
\[ 127 - 29 = 32e \]
\[ 98 = 32e \]
Finally, we solve for \( e \) by dividing both sides by 32:
\[ e = \frac{98}{32} = 3.0625 \]

### 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)

GPT-3.5 Turbo:

To solve the equation 30 = 50x - 35 for x, we first add 35 to both sides to isolate the term with x:
30 + 35 = 50x - 35 + 35
65 = 50x
Next, we divide both sides by 50 to solve for x:
65/50 = 50x/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

GPT-3.5 Turbo:

To solve the equation 66 = 9 + 10x for x, we first subtract 9 from both sides to isolate the term with x:

66 - 9 = 9 + 10x - 9,
57 = 10x.

Next, we divide both sides by 10 to solve for x:

57/10 = 10x/10,
5.7 = x.

### 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)

GPT-3.5 Turbo:

To solve for \(a\), we first isolate the term with \(a\) by subtracting 51 from both sides:

\(103 - 51 = 38a\)

\(52 = 38a\)

Next, we divide both sides by 38 to solve for \(a\):

\(a = \frac{52}{38} = \frac{26}{19}\)

### Answer: \(a = \frac{26}{19}\)

Expected answer: 26/19

Correct? Yes

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

GPT-3.5 Turbo:

To find the value of \( f \), we need to isolate \( f \) in the equation.
First, we subtract 8 from both sides of the equation:
\( 105 - 8 = 28f \)
\( 97 = 28f \)
Next, we divide both sides by 28 to solve for \( f \):
\( f = \frac{97}{28} \)
\( f = 3.46428571429 \) (rounded to 11 decimal places)
### Answer: \( f = 3.46428571429 \)

Expected answer: 97/28

Correct? No

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

GPT-3.5 Turbo:

To solve the linear equation for \( u \), we need to isolate \( u \) on one side of the equation.

Given equation: \( 12 = 63 - 50u \)

Subtract 63 from both sides:
\( 12 - 63 = -50u \)

Simplify:
\( -51 = -50u \)

Divide by -50:
\( u = \frac{-51}{-50} = \frac{51}{50} \)

### Answer: \( u = \frac{51}{50} \)

Expected answer: 51/50

Correct? Yes

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

GPT-3.5 Turbo:

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

Subtract 42 from both sides:
60 - 42 = 42 - 42 + 10b
18 = 10b

Divide both sides by 10 to solve for 'b':
18/10 = 10b/10
1.8 = b

### Answer: b = 1.8

Expected answer: 9/5

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 84 = 25j + 13 for j, we first isolate the term with j by subtracting 13 from both sides:

84 - 13 = 25j
71 = 25j

Next, we divide both sides by 25 to solve for 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

GPT-3.5 Turbo:

To solve for \( s \), we first isolate \( s \) by subtracting 91 from both sides of the equation:
\[ 153 - 91 = 91 - 91 + 5s \]
\[ 62 = 5s \]

Next, we divide both sides by 5 to solve for \( s \):
\[ \frac{62}{5} = \frac{5s}{5} \]
\[ 12.4 = s \]

### Answer: \( s = 12.4 \)

Expected answer: 62/5

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: First, we distribute the multiplication to get 65 = 22 + 30g. Then, we isolate the variable g by subtracting 22 from both sides to get 43 = 30g. Finally, we divide by 30 to solve for g, which gives us g = 43/30 = 1.43.
### Answer: g = 1.43

Expected answer: 43/30

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 96 = 29f + 10 for f, we first isolate the term with f by subtracting 10 from both sides:
96 - 10 = 29f
86 = 29f
Next, we divide both sides by 29 to solve for f:
f = 86/29
f = 2.9655 (rounded to four decimal places)
### Answer: f = 2.9655.

Expected answer: 86/29

Correct? No

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

GPT-3.5 Turbo:

First, distribute the 14 to q: 80 = 19 + 14q.
Next, isolate the term with q by subtracting 19 from both sides: 80 - 19 = 14q.
Simplify the left side: 61 = 14q.
Finally, divide by 14 to solve for q: 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

GPT-3.5 Turbo:

To solve the equation 145 = 95 + 46m for m, we first isolate the term with m by subtracting 95 from both sides:

145 - 95 = 95 - 95 + 46m
50 = 46m

Next, we divide both sides by 46 to solve for m:

m = 50/46
m = 25/23

### Answer: m = 25/23.

Expected answer: 25/23

Correct? Yes

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

GPT-3.5 Turbo:

To solve for 'i', we first isolate the term with 'i' by subtracting 13 from both sides:
68 - 13 = 13 + 6i - 13,
55 = 6i.

Next, we isolate 'i' by dividing both sides by 6:
55/6 = 6i/6,
i = 55/6.

Therefore, the value of 'i' is 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)

GPT-3.5 Turbo:

To solve for h, we first isolate the term with h by moving the constant term to the other side of the equation:
74h = 25 + 61
74h = 86
Next, we divide both sides by 74 to solve for h:
h = 86/74
h = 43/37
### Answer: h = 43/37.

Expected answer: 43/37

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 51 = 6q - 30 for q, we first add 30 to both sides to isolate the term with q:
51 + 30 = 6q
81 = 6q
Next, we divide both sides by 6 to solve for q:
q = 81/6
q = 13.5
### Answer: q = 13.5

Expected answer: 27/2

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: To find the value of \( r \), we need to isolate \( r \) in the equation. First, we subtract 81 from both sides:

\( 38 = 81 - 36r \)  
\( -43 = -36r \)  

Next, we divide both sides by -36 to solve for \( r \):

\( r = \frac{-43}{-36} = \frac{43}{36} \)

### Answer: \( r = \frac{43}{36} \)

Expected answer: 43/36

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 90 = 23 + 56a, we first isolate the term with the variable by subtracting 23 from both sides:
90 - 23 = 23 + 56a - 23,
67 = 56a.

Next, we isolate the variable by dividing both sides by 56:
67/56 = (56a)/56,
a = 67/56.

Therefore, the solution to the equation is a = 67/56.
### Answer: a = 67/56.

Expected answer: 67/56

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 81 = 13 + 30h for h, we first isolate the term with h by subtracting 13 from both sides:

81 - 13 = 13 + 30h - 13,
68 = 30h.

Next, we isolate h by dividing both sides by 30:

h = 68/30,
h = 2.27.

### Answer: h = 2.27.

Expected answer: 34/15

Correct? No

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

GPT-3.5 Turbo:

To solve for \( m \), we first distribute the 62 to \( m \) and then isolate \( m \) by subtracting 69 from both sides:

\[ 160 = 62m + 69 \]
\[ 160 - 69 = 62m \]
\[ 91 = 62m \]
\[ m = \frac{91}{62} \]

Therefore, \( m = \frac{91}{62} \).

### Answer: \( m = \frac{91}{62} \)

Expected answer: 91/62

Correct? Yes

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

GPT-3.5 Turbo:

First, we need to isolate the variable q by subtracting 69 from both sides of the equation:
100 - 69 = 69 - 69 + 28q
31 = 28q
Next, we divide both sides by 28 to solve for q:
31/28 = q
### 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)

GPT-3.5 Turbo:

First, we need to isolate the variable w by performing the necessary operations to solve for w.

192 = 98w + 94
Subtract 94 from both sides:
192 - 94 = 98w
98 = 98w
Divide by 98 on both sides:
w = 98/98
w = 1

### Answer: w = 1

Expected answer: 1

Correct? Yes

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

GPT-3.5 Turbo:

First, let's isolate the term with y by moving the constant term to the other side of the equation:
93 - 40 = 33y
53 = 33y
Next, divide both sides by 33 to solve for y:
y = 53/33
y = 1.606
### Answer: y = 1.606

Expected answer: 53/33

Correct? No

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

GPT-3.5 Turbo:

First, we isolate the term with the variable u by adding 20 to both sides of the equation:
74 + 20 = 48u
94 = 48u

Next, we divide both sides by 48 to solve for u:
94/48 = u
u = 94/48
u = 47/24

### Answer: u = 47/24.

Expected answer: 47/24

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( f \), we first isolate the term with \( f \) by moving the constant term to the other side of the equation:

\( 13 = 86f - 76 \)

Adding 76 to both sides:

\( 13 + 76 = 86f \)

\( 89 = 86f \)

Dividing by 86:

\( f = \frac{89}{86} \)

Therefore, \( f = \frac{89}{86} \).
### Answer: \( f = \frac{89}{86} \)

Expected answer: 89/86

Correct? Yes

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

GPT-3.5 Turbo:

To solve for c, we first simplify the equation:
122 = 36 + 56c
Subtract 36 from both sides:
122 - 36 = 56c
86 = 56c
Divide by 56 on both sides to solve for c:
c = 86/56 = 43/28
### Answer: c = 43/28.

Expected answer: 43/28

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 186 = 99 + 81q for q, we first subtract 99 from both sides to isolate the term with q:
186 - 99 = 99 - 99 + 81q
87 = 81q

Next, we divide both sides by 81 to solve for q:
87/81 = (81q)/81
q = 87/81
q = 1.074

### Answer: q = 1.074

Expected answer: 29/27

Correct? No

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

GPT-3.5 Turbo:

Reasoning: To find the value of 'u', we first isolate the term with 'u' by subtracting 77 from both sides of the equation:

120 - 77 = 42u
43 = 42u

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

43/42 = u
u ≈ 1.0238

### Answer: u ≈ 1.0238

Expected answer: 43/42

Correct? No

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

GPT-3.5 Turbo:

Reasoning: First, we distribute the 6 to j: 103 = 52 + 6j.
Next, we isolate the term with j by subtracting 52 from both sides: 103 - 52 = 6j.
Then, we simplify the left side: 51 = 6j.
Finally, we solve for j by dividing both sides by 6: j = 51/6 = 8.5.
### Answer: j = 8.5.

Expected answer: 17/2

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 56 = (82 - 4n) for n, we first need to isolate the term with n on one side of the equation. 

Subtract 82 from both sides:
56 - 82 = -4n

Simplify the left side:
-26 = -4n

Divide by -4 to solve for n:
n = -26 / -4
n = 6.5

### Answer: n = 6.5

Expected answer: 13/2

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( m \), we first isolate \( m \) by subtracting 14 from both sides of the equation:
\[ 77 - 14 = 60m \]
\[ 63 = 60m \]
Next, we divide both sides by 60 to solve for \( m \):
\[ m = \frac{63}{60} = \frac{21}{20} \]
### Answer: \( m = \frac{21}{20} \)

Expected answer: 21/20

Correct? Yes

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

GPT-3.5 Turbo:

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

Subtract 17 from both sides:
31 - 17 = 17 + e - 17
14 = e

### Answer: e = 14

Expected answer: 14

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: To solve for x, we first isolate the term with x by moving the constant term to the other side of the equation. 

2 = 81 - 15x
2 - 81 = -15x
-79 = -15x

Next, we solve for x by dividing both sides by -15.

x = -79 / -15
x = 79/15
x = 5.27 (rounded to two decimal places)

### Answer: x = 5.27

Expected answer: 79/15

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 177 = 88 + 6 * e for the value of e, we first subtract 88 from both sides to isolate the term with e:

177 - 88 = 88 + 6e - 88,
89 = 6e.

Next, we divide both sides by 6 to solve for e:

e = 89 / 6,
e = 14.83.

### Answer: e = 14.83.

Expected answer: 89/6

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 95 = 3r + 15, we first isolate the variable 'r' by subtracting 15 from both sides:
95 - 15 = 3r
80 = 3r
Next, we divide both sides by 3 to solve for 'r':
80/3 = r
r = 80/3
r = 26.67
### Answer: r = 26.67

Expected answer: 80/3

Correct? No

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

GPT-3.5 Turbo:

First, distribute the 31 to v:
154 = 70 + 31v
Subtract 70 from both sides:
154 - 70 = 31v
84 = 31v
Divide by 31 to solve for v:
v = 84/31
v = 2.7096774193548387
### Answer: v = 2.71

Expected answer: 84/31

Correct? No

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

GPT-3.5 Turbo:

To solve for the value of \( r \), we first isolate the term with \( r \) by subtracting 87 from both sides:

\( 179 - 87 = 70r \)  
\( 92 = 70r \)  

Next, we divide both sides by 70 to solve for \( r \):

\( r = \frac{92}{70} \)  
\( r = \frac{46}{35} \)  

Therefore, the value of \( r \) is \( \frac{46}{35} \).

### Answer: \( r = \frac{46}{35} \)

Expected answer: 46/35

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( r \), we first isolate the term with \( r \) by subtracting 2 from both sides:

\( 93 - 2 = 19r \)

\( 91 = 19r \)

Next, we divide both sides by 19 to solve for \( r \):

\( r = \frac{91}{19} \)

\( r = 4.789 \)

### Answer: \( r = 4.789 \)

Expected answer: 91/19

Correct? No

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

GPT-3.5 Turbo:

First, let's simplify the equation:
20 = 67 - 37z

Next, let's isolate the variable z by moving 67 to the other side of the equation:
20 + 37z = 67
37z = 47

Finally, divide by 37 to solve for z:
z = 47/37

So, z = 47/37.
### Answer: z = 47/37.

Expected answer: 47/37

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: First, distribute the 25 to m: 65 = 25m + 15.
Next, isolate the term with m by subtracting 15 from both sides: 65 - 15 = 25m.
Then, simplify the left side: 50 = 25m.
Finally, divide by 25 to solve for m: m = 50/25 = 2.
### Answer: m = 2.

Expected answer: 2

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: To solve for \( g \), we first isolate \( 6g \) by subtracting 19 from both sides:
\[ 79 = 6g + 19 \]
\[ 60 = 6g \]
Then, we divide both sides by 6 to solve for \( g \):
\[ g = \frac{60}{6} \]
\[ g = 10 \]
### Answer: \( g = 10 \)

Expected answer: 10

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 30 = 56l - 45 for the variable 'l', we first add 45 to both sides to isolate the term with 'l':
30 + 45 = 56l - 45 + 45,
75 = 56l.

Next, we divide both sides by 56 to solve for 'l':
75/56 = (56l)/56,
l = 75/56.

Therefore, the solution to the equation is 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)

GPT-3.5 Turbo:

First, we isolate the variable j by subtracting 4 from both sides of the equation:
57 - 4 = 11j
53 = 11j

Then, we divide both sides by 11 to solve for j:
53/11 = j
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

GPT-3.5 Turbo:

To solve for 'f', we first isolate 'f' by adding 56 to both sides of the equation:
34 * f = 36 + 56
34 * f = 92
Then, we divide both sides by 34 to solve for 'f':
f = 92/34
f = 2.70588235294 (rounded to 2 decimal places)
### 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

GPT-3.5 Turbo:

To solve the equation, we first isolate the variable 'u' by adding 43 to both sides:
56 + 43 = 70u
99 = 70u
Next, we divide both sides by 70 to solve for 'u':
u = 99/70
u = 1.41
### Answer: u = 1.41

Expected answer: 99/70

Correct? No

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

GPT-3.5 Turbo:

To solve for x, we first isolate the term with x by subtracting 21 from both sides:
67 - 21 = 21 + 9x - 21,
46 = 9x.

Next, we divide both sides by 9 to solve for x:
46/9 = 9x/9,
5.11 = x.

### Answer: x = 5.11.

Expected answer: 46/9

Correct? No

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

GPT-3.5 Turbo:

Reasoning: To solve for \( i \), we first simplify the expression on the right side of the equation:
\( 58 + 16i = 75 \)
\( 16i = 75 - 58 \)
\( 16i = 17 \)
\( i = 17/16 \)
### Answer: \( i = 17/16 \)

Expected answer: 17/16

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: To solve for x, we first simplify the expression on the right side of the equation.
\(54 + (39 \times x) = 54 + 39x\).
Now, we substitute this back into the equation: \(111 = 54 + 39x\).
Subtracting 54 from both sides gives us: \(111 - 54 = 39x\).
\(57 = 39x\).
Dividing both sides by 39 gives us: \(x = \frac{57}{39} = \frac{19}{13}\).
### Answer: \(x = \frac{19}{13}\)

Expected answer: 19/13

Correct? Yes

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

GPT-3.5 Turbo:

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

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

Next, we divide both sides by 26 to solve for 'o':

87/26 = o
o = 3.34615384615

### Answer: o = 3.35

Expected answer: 87/26

Correct? No

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

GPT-3.5 Turbo:

To solve for \( p \), we first isolate \( p \) by moving the constant term to the other side of the equation and then dividing by the coefficient of \( p \).

\( 7 = 12p - 17 \)

Adding 17 to both sides:

\( 7 + 17 = 12p \)

\( 24 = 12p \)

Dividing by 12:

\( p = \frac{24}{12} \)

\( p = 2 \)

### Answer: \( p = 2 \)

Expected answer: 2

Correct? Yes

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

GPT-3.5 Turbo:

Reasoning: First, we need to isolate the variable 'b' by subtracting 93 from both sides of the equation:
163 - 93 = 93 + 55b - 93,
70 = 55b.
Next, we divide both sides by 55 to solve for 'b':
70/55 = 55b/55,
b = 70/55,
b = 14/11.
### Answer: b = 14/11.

Expected answer: 14/11

Correct? Yes

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

GPT-3.5 Turbo:

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

Adding 26 to both sides of the equation, we get:
62 + 26 = u - 26 + 26
88 = u

Therefore, the value of 'u' is 88.
### Answer: u = 88

Expected answer: 88

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \(a\), we first isolate the term with \(a\) by subtracting 93 from both sides:

\(179 - 93 = 63a\)

\(86 = 63a\)

Next, we divide both sides by 63 to solve for \(a\):

\(a = \frac{86}{63}\)

Therefore, \(a = \frac{86}{63}\).
### Answer: \(a = \frac{86}{63}\)

Expected answer: 86/63

Correct? Yes

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

GPT-3.5 Turbo:

To find the value of \( c \), we first isolate \( c \) by adding 11 to both sides of the equation:
\( 51 + 11 = 27c \)
\( 62 = 27c \)
Next, we divide both sides by 27 to solve for \( c \):
\( c = \frac{62}{27} \)
\( c = 2 \frac{8}{27} \)
### Answer: \( c = 2 \frac{8}{27} \)

Expected answer: 62/27

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 19 = 28d - 18 for 'd', we first add 18 to both sides to isolate the term with 'd':
19 + 18 = 28d - 18 + 18
37 = 28d
Next, we divide both sides by 28 to solve for 'd':
37/28 = 28d/28
d = 37/28
Therefore, the solution to the equation is d = 37/28.
### Answer: d = 37/28.

Expected answer: 37/28

Correct? Yes

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

GPT-3.5 Turbo:

First, we need to isolate the variable e by performing the following steps:
159 = 47e + 62
Subtract 62 from both sides:
159 - 62 = 47e
97 = 47e
Divide by 47 on both sides to solve for e:
e = 97/47
e = 2.06 (rounded to two decimal places)

### Answer: e = 2.06

Expected answer: 97/47

Correct? No

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

GPT-3.5 Turbo:

To solve for \( g \), we first distribute the multiplication:
\[ 145 = 50 + 91g \]
Next, we isolate the term with \( g \) by subtracting 50 from both sides:
\[ 145 - 50 = 91g \]
\[ 95 = 91g \]
Finally, we solve for \( g \) by dividing both sides by 91:
\[ g = \frac{95}{91} = 1.\overline{04} \]
### Answer: \( g = \frac{95}{91} \)

Expected answer: 95/91

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 123 = 44l + 73 for the value of l, we first isolate the term with l by subtracting 73 from both sides:
123 - 73 = 44l
50 = 44l
Next, we divide both sides by 44 to solve for l:
l = 50/44
l = 25/22
### Answer: l = 25/22.

Expected answer: 25/22

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 165 = 19q + 75, we first isolate the variable q by subtracting 75 from both sides:

165 - 75 = 19q
90 = 19q

Next, we divide both sides by 19 to solve for q:

q = 90/19
q = 4.73684210526 (approximately)

### Answer: q = 4.73684210526 (approximately)

Expected answer: 90/19

Correct? No

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

GPT-3.5 Turbo:

To solve the equation 149 = 18g + 62, we first isolate the term with g by subtracting 62 from both sides:
149 - 62 = 18g
87 = 18g
Next, we divide both sides by 18 to solve for g:
g = 87/18
g = 4.8333 (rounded to four decimal places)
### Answer: g = 4.8333.

Expected answer: 29/6

Correct? No

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

GPT-3.5 Turbo:

To solve for \(d\), we need to isolate \(d\) on one side of the equation.

First, we subtract 21 from both sides of the equation:
\[ 84 - 21 = 20d \]
\[ 63 = 20d \]

Next, we divide both sides by 20 to solve for \(d\):
\[ d = \frac{63}{20} \]
\[ d = 3.15 \]

### 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))

GPT-3.5 Turbo:

To solve for \( g \), we first distribute the 6 on the right side of the equation:

\[ 61 = 50 + 6g \]

Next, we isolate the term with \( g \) by subtracting 50 from both sides:

\[ 61 - 50 = 6g \]
\[ 11 = 6g \]

Finally, we solve for \( g \) by dividing both sides by 6:

\[ g = \frac{11}{6} \]

So, \( g = \frac{11}{6} \).

### Answer: \( g = \frac{11}{6} \)

Expected answer: 11/6

Correct? Yes

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

GPT-3.5 Turbo:

To solve for \( v \), we first isolate the term with \( v \) by subtracting 76 from both sides:

\( 126 - 76 = 21v \)

\( 50 = 21v \)

Next, we divide both sides by 21 to solve for \( v \):

\( v = \frac{50}{21} \)

Therefore, \( v = \frac{50}{21} \) or approximately \( v \approx 2.38 \).

### Answer: \( v = \frac{50}{21} \)

Expected answer: 50/21

Correct? Yes

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

GPT-3.5 Turbo:

To solve the equation 74 = 91g - 24 for g, we first add 24 to both sides to isolate the term with g:
74 + 24 = 91g - 24 + 24,
98 = 91g.

Next, we divide both sides by 91 to solve for g:
98/91 = (91g)/91,
g = 98/91.

Therefore, the solution to the equation is g = 98/91.
### Answer: g = 98/91.

Expected answer: 14/13

Correct? Yes