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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
122 = 92 + 28 * u
Subtract 92 from both sides:
122 - 92 = 92 + 28 * u - 92
30 = 28 * u
Divide both sides by 28:
30 / 28 = 28 * u / 28
u = 30 / 28
u = 1.0714285714285714

### Answer: 1.0714285714285714

Expected answer: 15/14

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
42 = ((35 * i) - 34)
Add 34 to both sides:
42 + 34 = (35 * i) - 34 + 34
76 = 35 * i
Divide both sides by 35:
76 / 35 = i
i = 2.17

### Answer: 2.17

Expected answer: 76/35

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
94 = 41 + 6 * r
Subtract 41 from both sides:
94 - 41 = 41 + 6 * r - 41
53 = 6 * r
Divide both sides by 6:
53 / 6 = 6 * r / 6
r = 53 / 6
### Answer: r = 8.83

Expected answer: 53/6

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 158 = ((19 * i) + 94)
2) To find the value of i, we need to isolate it on one side of the equation.
3) First, let's subtract 94 from both sides:
158 - 94 = ((19 * i) + 94) - 94
64 = 19 * i
4) Now, let's divide both sides by 19:
64 / 19 = 19 * i / 19
i = 64 / 19
5) Simplifying, we get:
i = 3.368421

### Answer: 3.368421

Expected answer: 64/19

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 134 = ((30 * q) + 54)
2) First, we need to subtract 54 from both sides of the equation:
134 - 54 = ((30 * q) + 54) - 54
3) This simplifies to:
80 = 30 * q
4) Now we need to divide both sides by 30 to solve for q:
80 / 30 = 30 * q / 30
5) This simplifies to:
q = 80 / 30
6) Evaluating this, we get:
q = 2.6666...

### Answer: 2.6666...

Expected answer: 8/3

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this linear equation to find the value of y.

Given equation: 94 = (27 + y)

To find the value of y, we need to isolate it on one side of the equation.

Step 1: Subtract 27 from both sides of the equation.
94 - 27 = (27 + y) - 27
67 = y

Therefore, the value of y is 67.

### Answer: 67

Expected answer: 67

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 9 = ((23 * h) - 70)
2) To isolate the variable h, we need to add 70 to both sides:
9 + 70 = ((23 * h) - 70) + 70
3) This simplifies to:
79 = 23 * h
4) Now we divide both sides by 23 to solve for h:
79 / 23 = 23 * h / 23
5) This gives us:
h = 79 / 23
6) Simplifying the fraction, we get:
h = 3.43478

### Answer: 3.43478

Expected answer: 79/23

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
92 = 33 * t + 26
Subtract 26 from both sides:
92 - 26 = 33 * t + 26 - 26
66 = 33 * t
Divide both sides by 33:
66 / 33 = 33 * t / 33
2 = t
### Answer: 2

Expected answer: 2

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 123 = ((15 * e) + 29)
2) To isolate the variable e, we need to subtract 29 from both sides:
123 - 29 = ((15 * e) + 29) - 29
3) Simplifying, we get:
94 = 15 * e
4) Now we need to divide both sides by 15 to solve for e:
94 / 15 = 15 * e / 15
5) Simplifying, we get:
e = 94 / 15
6) Evaluating, we get:
e = 6.2666...

### Answer: 6.2666...

Expected answer: 94/15

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 16 = ((75 * k) - 80)
2) To isolate the variable 'k', we need to add 80 to both sides:
16 + 80 = ((75 * k) - 80) + 80
3) This simplifies to:
96 = 75 * k
4) Now, to solve for 'k', we divide both sides by 75:
96 / 75 = 75 * k / 75
5) This gives us:
k = 96 / 75
6) Simplifying the fraction, we get:
k = 1.28

### Answer: 1.28

Expected answer: 32/25

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 131 = ((5 * q) + 89)
2) To isolate the variable q, we need to subtract 89 from both sides:
131 - 89 = ((5 * q) + 89) - 89
3) This simplifies to:
42 = (5 * q)
4) Now we need to divide both sides by 5 to solve for q:
42 / 5 = (5 * q) / 5
5) This simplifies to:
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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 147 = ((38 * p) + 56)
2) To find the value of p, we need to isolate it on one side of the equation.
3) First, let's subtract 56 from both sides:
147 - 56 = ((38 * p) + 56) - 56
91 = 38 * p
4) Now, let's divide both sides by 38:
91 / 38 = 38 * p / 38
p = 91 / 38
5) Simplifying, we get:
p = 2.3947...

### Answer: 2.3947

Expected answer: 91/38

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
76 = 42 * j + 23
Subtract 23 from both sides:
76 - 23 = 42 * j + 23 - 23
53 = 42 * j
Divide both sides by 42:
53 / 42 = 42 * j / 42
j = 53 / 42
### Answer: j = 1.2619047619047619

Expected answer: 53/42

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:

1) We have the equation: 138 = 43 + 25 * l
2) First, we need to simplify the right side of the equation:
25 * l
3) Next, we add 43 to the result:
43 + 25 * l
4) Now, we set this equal to 138:
138 = 43 + 25 * l
5) To solve for l, we need to isolate it on one side of the equation. We can do this by subtracting 43 from both sides:
138 - 43 = 43 + 25 * l - 43
6) Simplifying, we get:
95 = 25 * l
7) Finally, we divide both sides by 25 to solve for l:
95 / 25 = 25 * l / 25
8) The final answer is:
l = 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 80 = ((24 * w) + 35)
2) First, we need to subtract 35 from both sides of the equation:
80 - 35 = ((24 * w) + 35) - 35
3) This simplifies to:
45 = 24 * w
4) Now we need to divide both sides by 24 to solve for w:
45 / 24 = 24 * w / 24
5) This simplifies to:
w = 45 / 24
6) Calculating the final answer:
w = 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))

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 77 = (33 + (14 * x))
2) First, we need to simplify the right side of the equation:
(33 + (14 * x)) = 33 + 14x
3) Now we can set the two sides equal to each other:
77 = 33 + 14x
4) Subtract 33 from both sides:
77 - 33 = 33 + 14x - 33
5) Simplify:
44 = 14x
6) Divide both sides by 14:
44/14 = 14x/14
7) Simplify:
x = 4

### Answer: x = 4

Expected answer: 22/7

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 110 = 12 + 88 * y
2) To isolate the variable y, we need to subtract 12 from both sides:
110 - 12 = 12 + 88 * y - 12
3) Simplifying, we get:
98 = 88 * y
4) Now, we need to divide both sides by 88 to solve for y:
98 / 88 = 88 * y / 88
5) Simplifying, we get:
y = 98 / 88
6) Evaluating, we get:
y = 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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 179 = 82 * s + 80
2) To solve for s, we need to isolate s on one side of the equation.
3) First, we subtract 80 from both sides:
179 - 80 = 82 * s + 80 - 80
4) This simplifies to:
99 = 82 * s
5) Now, we divide both sides by 82 to isolate s:
99 / 82 = 82 * s / 82
6) This simplifies to:
s = 99 / 82
7) Simplifying the fraction, we get:
s = 1.207...

### Answer: 1.207

Expected answer: 99/82

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 129 = 26 * m + 66
2) To solve for m, we need to isolate m on one side of the equation.
3) First, we subtract 66 from both sides:
129 - 66 = 26 * m + 66 - 66
4) This simplifies to:
63 = 26 * m
5) Now, we divide both sides by 26 to solve for m:
63 / 26 = 26 * m / 26
6) This simplifies to:
m = 63 / 26
7) Evaluating this, we get:
m = 2.42307692308

### Answer: 2.42307692308

Expected answer: 63/26

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 82 = ((27 * q) - 17)
2) First, we need to get the expression on the right side of the equation by itself. We can do this by adding 17 to both sides:
82 + 17 = ((27 * q) - 17) + 17
3) This simplifies to:
99 = 27 * q
4) Now we need to divide both sides by 27 to solve for q:
99 / 27 = 27 * q / 27
5) This simplifies to:
q = 99/27
6) Evaluating this, we get:
q = 3.67

### Answer: 3.67

Expected answer: 11/3

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 141 = (64 + (22 * k))
2) To isolate the variable k, we need to subtract 64 from both sides:
141 - 64 = (64 + (22 * k)) - 64
3) Simplifying, we get:
77 = 22 * k
4) Dividing both sides by 22, we get:
k = 77 / 22
5) Simplifying, the final answer is:
### 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

Claude-3 Haiku:

To solve for the value of 'v' in the linear equation 175 = 91 + 45 * v, we need to isolate the variable 'v' on one side of the equation.

Step 1: Subtract 91 from both sides of the equation to get the variable term on one side.
175 - 91 = 91 + 45 * v - 91
84 = 45 * v

Step 2: Divide both sides of the equation by 45 to solve for 'v'.
84 / 45 = 45 * v / 45
v = 84 / 45
v = 1.867

Therefore, the value of 'v' is 1.867.

### Answer: 1.867

Expected answer: 28/15

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:

1) We have the equation: 50 = ((63 * k) - 18)

2) To isolate the term with k, we need to add 18 to both sides:
50 + 18 = ((63 * k) - 18) + 18
68 = 63 * k

3) Now, to solve for k, we divide both sides by 63:
68 / 63 = 63 * k / 63
k = 68 / 63

4) Simplifying the fraction, we get:
k = 68/63

### Answer: k = 68/63

Expected answer: 68/63

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 65 = ((8 * l) - 10)
2) First, we need to get the expression inside the parentheses by itself. We can do this by adding 10 to both sides:
65 + 10 = ((8 * l) - 10) + 10
3) This simplifies to:
75 = 8 * l
4) Now we need to isolate l. We can do this by dividing both sides by 8:
75 / 8 = 8 * l / 8
5) This simplifies to:
l = 75 / 8
6) Evaluating this, we get:
l = 9.375

### Answer: 9.375

Expected answer: 75/8

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
5 = ((10 * u) - 34)
Add 34 to both sides:
5 + 34 = (10 * u) - 34 + 34
39 = 10 * u
Divide both sides by 10:
39/10 = u
### Answer: u = 3.9

Expected answer: 39/10

Correct? Yes

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

Claude-3 Haiku:

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

Given equation: 91 = 9 * a + 61

Step 1: Subtract 61 from both sides of the equation to isolate the term with 'a'.
91 - 61 = 9 * a + 61 - 61
30 = 9 * a

Step 2: Divide both sides of the equation by 9 to solve for 'a'.
30 / 9 = 9 * a / 9
a = 30 / 9

Simplifying the fraction:
a = 10/3

### Answer: a = 10/3

Expected answer: 10/3

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
157 = 53 * i + 61
Subtract 61 from both sides:
157 - 61 = 53 * i + 61 - 61
96 = 53 * i
Divide both sides by 53:
96 / 53 = 53 * i / 53
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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 71 = ((24 * q) + 14)
2) To isolate the variable q, we need to subtract 14 from both sides:
71 - 14 = ((24 * q) + 14) - 14
3) This simplifies to:
57 = 24 * q
4) Now we need to divide both sides by 24 to solve for q:
57 / 24 = 24 * q / 24
5) This gives us:
q = 57 / 24
6) Simplifying the fraction, we get:
q = 2.375

### Answer: 2.375

Expected answer: 19/8

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
163 = 96 + 14 * i
Subtract 96 from both sides:
163 - 96 = 96 + 14 * i - 96
67 = 14 * i
Divide both sides by 14:
67 / 14 = 14 * i / 14
i = 67 / 14
### Answer: i = 4.79

Expected answer: 67/14

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:

1) We have the linear equation: 59 = (70 * e) - 23
2) To isolate the variable e, we need to add 23 to both sides:
59 + 23 = (70 * e) - 23 + 23
3) This simplifies to:
82 = 70 * e
4) Now we need to divide both sides by 70 to solve for e:
82 / 70 = 70 * e / 70
5) This simplifies to:
e = 82 / 70

### Answer: e = 82 / 70

Expected answer: 41/35

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
147 = 36 * o + 74
Subtract 74 from both sides:
147 - 74 = 36 * o + 74 - 74
73 = 36 * o
Divide both sides by 36:
73 / 36 = 36 * o / 36
2.0277777778 = o
### Answer: 2.0277777778

Expected answer: 73/36

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
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 = 22/13
### Answer: 22/13

Expected answer: 22/13

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
118 = 64 + 6 * n
Subtract 64 from both sides:
118 - 64 = 6 * n
54 = 6 * n
Divide both sides by 6:
54 / 6 = n
### Answer: n = 9

Expected answer: 9

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 61 = ((5 * d) - 7)
2) To isolate the variable 'd', we need to perform the following steps:
3) Add 7 to both sides of the equation:
61 + 7 = ((5 * d) - 7) + 7
4) This simplifies to:
68 = 5 * d
5) Divide both sides by 5 to solve for d:
68 / 5 = 5 * d / 5
6) This simplifies to:
d = 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 79 = ((8 * z) - 18)
2) To isolate the variable z, we need to get (8 * z) - 18 by itself.
3) First, we add 18 to both sides of the equation:
79 + 18 = ((8 * z) - 18) + 18
4) This simplifies to:
97 = 8 * z
5) Now, we divide both sides by 8 to solve for z:
97 / 8 = 8 * z / 8
6) This simplifies to:
z = 97 / 8
7) Evaluating this, we get:
z = 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 129 = ((2 * z) + 63)
2) To isolate the variable z, we need to subtract 63 from both sides:
129 - 63 = ((2 * z) + 63) - 63
3) This simplifies to:
66 = 2 * z
4) Now we need to divide both sides by 2 to solve for z:
66 / 2 = 2 * z / 2
5) This gives us:
z = 33

### Answer: 33

Expected answer: 33

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
127 = (29 + (32 * e))
Subtract 29 from both sides:
127 - 29 = (29 + (32 * e)) - 29
98 = (32 * e)
Divide both sides by 32:
98 / 32 = (32 * e) / 32
e = 98 / 32
e = 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 30 = ((50 * x) - 35)
2) To isolate the variable x, we need to get the term with x on one side of the equation.
3) First, we add 35 to both sides of the equation:
30 + 35 = ((50 * x) - 35) + 35
4) This simplifies to:
65 = 50 * x
5) Now, we divide both sides by 50 to solve for x:
65 / 50 = 50 * x / 50
6) This simplifies to:
x = 1.3

### Answer: x = 1.3

Expected answer: 13/10

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
66 = 9 + 10 * x
Subtract 9 from both sides:
57 = 10 * x
Divide both sides by 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
103 = ((38 * a) + 51)
Subtract 51 from both sides:
103 - 51 = (38 * a) + 51 - 51
52 = 38 * a
Divide both sides by 38:
52/38 = 38*a/38
a = 52/38
a = 1.368421

### Answer: a = 1.368421

Expected answer: 26/19

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
105 = 28 * f + 8
Subtract 8 from both sides:
105 - 8 = 28 * f + 8 - 8
97 = 28 * f
Divide both sides by 28:
97 / 28 = 28 * f / 28
f = 97 / 28
### Answer: f = 3.46

Expected answer: 97/28

Correct? No

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

Claude-3 Haiku:

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

Given equation: 12 = 63 - 50 * u

Step 1: Subtract 63 from both sides of the equation to get the variable u on one side.
12 - 63 = 63 - 50 * u
-51 = -50 * u

Step 2: Divide both sides of the equation by -50 to solve for u.
-51 / -50 = -50 * u / -50
1.02 = u

Therefore, the solution to the linear equation is:
### Answer: u = 1.02

Expected answer: 51/50

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
60 = 42 + (10 * b)
Subtract 42 from both sides:
60 - 42 = (10 * b)
18 = (10 * b)
Divide both sides by 10:
18/10 = b
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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 84 = ((25 * j) + 13)
2) To isolate the variable 'j', we need to subtract 13 from both sides:
84 - 13 = ((25 * j) + 13) - 13
3) This simplifies to:
71 = (25 * j)
4) Now we need to divide both sides by 25 to solve for 'j':
71 / 25 = (25 * j) / 25
5) This simplifies to:
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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
153 = 91 + 5 * s
Subtract 91 from both sides:
153 - 91 = 91 + 5 * s - 91
62 = 5 * s
Divide both sides by 5:
62 / 5 = 5 * s / 5
s = 12.4

### Answer: s = 12.4

Expected answer: 62/5

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
65 = (22 + (30 * g))
Subtract 22 from both sides:
65 - 22 = (22 + (30 * g)) - 22
43 = (30 * g)
Divide both sides by 30:
43/30 = (30 * g)/30
g = 43/30
### Answer: g = 43/30

Expected answer: 43/30

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 96 = ((29 * f) + 10)
2) To isolate the term with f, we need to subtract 10 from both sides:
96 - 10 = ((29 * f) + 10) - 10
3) This simplifies to:
86 = (29 * f)
4) Now we need to divide both sides by 29 to solve for f:
86 / 29 = (29 * f) / 29
5) This simplifies to:
f = 86 / 29

### Answer: f = 86 / 29

Expected answer: 86/29

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 80 = (19 + (14 * q))
2) We want to solve for the variable q.
3) First, let's subtract 19 from both sides of the equation:
80 - 19 = (19 + (14 * q)) - 19
61 = 14 * q
4) Now, let's divide both sides by 14:
61 / 14 = 14 * q / 14
q = 61 / 14
5) Simplifying, we get:
q = 4.357

### Answer: 4.357

Expected answer: 61/14

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 145 = 95 + 46 * m
2) To isolate the variable m, we need to subtract 95 from both sides:
145 - 95 = 95 + 46 * m - 95
3) Simplifying, we get:
50 = 46 * m
4) Now we need to divide both sides by 46 to solve for m:
50 / 46 = 46 * m / 46
5) Simplifying, we get:
m = 50 / 46
6) Evaluating, we get:
m = 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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 68 = 13 + 6 * i
2) First, we need to simplify the right side of the equation:
6 * i = 68 - 13
6 * i = 55
3) Now we can solve for i:
i = 55 / 6
i = 9.17

### Answer: 9.17

Expected answer: 55/6

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We are given the equation: 25 = ((74 * h) - 61)
2) To solve for h, we need to isolate h on one side of the equation.
3) First, we add 61 to both sides of the equation:
25 + 61 = ((74 * h) - 61) + 61
4) This simplifies to:
86 = 74 * h
5) Now, we divide both sides by 74 to solve for h:
86 / 74 = 74 * h / 74
6) This simplifies to:
h = 86 / 74
7) Evaluating this, we get:
h = 1.162

### Answer: 1.162

Expected answer: 43/37

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 51 = ((6 * q) - 30)
2) To isolate the variable q, we need to get the term with q by itself on one side of the equation.
3) First, we add 30 to both sides of the equation:
51 + 30 = ((6 * q) - 30) + 30
4) This simplifies to:
81 = 6 * q
5) Now, we divide both sides by 6 to solve for q:
81 / 6 = 6 * q / 6
6) This simplifies to:
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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
38 = 81 - 36 * r
Subtract 81 from both sides:
38 - 81 = -36 * r
-43 = -36 * r
Divide both sides by -36:
-43/-36 = r
r = 43/36
### Answer: 43/36

Expected answer: 43/36

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
90 = (23 + (56 * a))
Subtract 23 from both sides:
90 - 23 = (23 + (56 * a)) - 23
67 = (56 * a)
Divide both sides by 56:
67/56 = a
a = 1.1964285714

### Answer: 1.1964285714

Expected answer: 67/56

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 81 = 13 + 30 * h
2) To isolate the unknown variable h, we need to subtract 13 from both sides:
81 - 13 = 13 + 30 * h - 13
3) Simplifying, we get:
68 = 30 * h
4) Now we need to divide both sides by 30 to solve for h:
68 / 30 = 30 * h / 30
5) Simplifying, we get:
h = 68 / 30
6) Evaluating, we get:
h = 2.2666...

### Answer: h = 2.2666...

Expected answer: 34/15

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 160 = ((62 * m) + 69)
2) To isolate the term with m, we need to subtract 69 from both sides:
160 - 69 = ((62 * m) + 69) - 69
3) This simplifies to:
91 = 62 * m
4) Now we need to divide both sides by 62 to solve for m:
91 / 62 = 62 * m / 62
5) This gives us:
m = 91 / 62

### Answer: m = 91 / 62

Expected answer: 91/62

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
100 = 69 + 28 * q
Subtract 69 from both sides:
100 - 69 = 28 * q
31 = 28 * q
Divide both sides by 28:
31 / 28 = q
q = 1.107142857

### Answer: 1.107142857

Expected answer: 31/28

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
192 = ((98 * w) + 94)
Subtract 94 from both sides:
192 - 94 = (98 * w) + 94 - 94
98 = 98 * w
Divide both sides by 98:
98/98 = w
1 = w

### Answer: w = 1

Expected answer: 1

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
40 = 93 - 33 * y
Subtract 93 from both sides:
-53 = -33 * y
Divide both sides by -33:
y = 53/33
Simplifying the fraction:
y = 53/33 = 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 74 = ((48 * u) - 20)
2) To solve for the unknown variable u, we need to isolate u on one side of the equation.
3) First, let's add 20 to both sides of the equation:
74 + 20 = ((48 * u) - 20) + 20
4) This simplifies to:
94 = 48 * u
5) Now, we divide both sides by 48 to isolate u:
94 / 48 = 48 * u / 48
6) This simplifies to:
u = 94 / 48
7) Evaluating this, we get:
u = 1.958333...

### Answer: u = 1.958333...

Expected answer: 47/24

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
13 = ((86 * f) - 76)
Add 76 to both sides:
13 + 76 = ((86 * f) - 76) + 76
89 = 86 * f
Divide both sides by 86:
89/86 = 86 * f/86
f = 89/86

### Answer: f = 89/86

Expected answer: 89/86

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
122 = (36 + (56 * c))
Subtract 36 from both sides:
122 - 36 = (36 + (56 * c)) - 36
86 = (56 * c)
Divide both sides by 56:
86 / 56 = (56 * c) / 56
c = 86 / 56
c = 1.536

### Answer: c = 1.536

Expected answer: 43/28

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 186 = 99 + 81 * q
2) To isolate the unknown quantity q, we need to subtract 99 from both sides:
186 - 99 = 99 + 81 * q - 99
3) Simplifying, we get:
87 = 81 * q
4) Now we need to divide both sides by 81 to solve for q:
87 / 81 = 81 * q / 81
5) Simplifying, we get:
q = 87 / 81
6) Evaluating, we get:
q = 1.0740740740740742

### Answer: 1.0740740740740742

Expected answer: 29/27

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 120 = ((42 * u) + 77)
2) To find the value of 'u', we need to isolate it on one side of the equation.
3) First, let's subtract 77 from both sides:
120 - 77 = ((42 * u) + 77) - 77
43 = 42 * u
4) Now, let's divide both sides by 42:
43 / 42 = 42 * u / 42
u = 1.0238

### Answer: 1.0238

Expected answer: 43/42

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
103 = (52 + (6 * j))
Subtract 52 from both sides:
103 - 52 = (52 + (6 * j)) - 52
51 = 6 * j
Divide both sides by 6:
51 / 6 = 6 * j / 6
j = 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))

Claude-3 Haiku:

Okay, let's solve this step-by-step:
56 = (82 - (4 * n))
Subtract 82 from both sides:
-26 = -(4 * n)
Divide both sides by -4:
6.5 = n
### Answer: n = 6.5

Expected answer: 13/2

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 77 = 14 + 60 * m
2) To isolate the variable m, we need to subtract 14 from both sides:
77 - 14 = 14 + 60 * m - 14
3) Simplifying, we get:
63 = 60 * m
4) Now, we need to divide both sides by 60 to solve for m:
63 / 60 = 60 * m / 60
5) Simplifying, we get:
m = 63/60

### Answer: m = 63/60

Expected answer: 21/20

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this linear equation for the variable 'e'.

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

Therefore, the solution for the variable 'e' is:

### Answer: e = 14

Expected answer: 14

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
2 = 81 - (15 * x)
2 = 81 - 15x
2 + 15x = 81
15x = 79
x = 79/15
x = 5.27

### Answer: 5.27

Expected answer: 79/15

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 177 = 88 + 6 * e
2) First, we need to isolate the term with the variable e on one side of the equation.
3) Subtract 88 from both sides: 177 - 88 = 88 + 6 * e - 88
4) Simplifying, we get: 89 = 6 * e
5) Divide both sides by 6 to solve for e: 89 / 6 = e
6) Evaluating, we get: e = 14.83333

### Answer: 14.83333

Expected answer: 89/6

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 95 = 3*r + 15
2) To find the value of 'r', we need to isolate 'r' on one side of the equation.
3) First, we subtract 15 from both sides:
95 - 15 = 3*r + 15 - 15
4) This simplifies to:
80 = 3*r
5) Now, we divide both sides by 3 to solve for 'r':
80/3 = 3*r/3
6) This simplifies to:
r = 80/3
7) Evaluating this, we get:
r = 26.67

### Answer: 26.67

Expected answer: 80/3

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 154 = (70 + (31 * v))
2) First, we need to isolate the term with the variable v.
3) To do this, we subtract 70 from both sides:
154 - 70 = (70 + (31 * v)) - 70
4) This simplifies to:
84 = 31 * v
5) Now we need to divide both sides by 31 to solve for v:
84 / 31 = 31 * v / 31
6) This gives us:
v = 84 / 31
7) Simplifying the fraction, we get:
v = 12 + 12/31

### Answer: v = 12 + 12/31

Expected answer: 84/31

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 179 = ((70 * r) + 87)
2) To isolate the term with r, we need to subtract 87 from both sides:
179 - 87 = ((70 * r) + 87) - 87
3) This simplifies to:
92 = 70 * r
4) Now we need to divide both sides by 70 to solve for r:
92 / 70 = 70 * r / 70
5) This simplifies to:
r = 92 / 70
6) Evaluating this, we get:
r = 1.314285714

### Answer: 1.314285714

Expected answer: 46/35

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 93 = ((19 * r) + 2)
2) First, we need to isolate the expression on the right side of the equation.
3) Subtract 2 from both sides: 93 - 2 = ((19 * r) + 2) - 2
4) Simplify: 91 = (19 * r)
5) Divide both sides by 19: 91/19 = (19 * r)/19
6) Simplify: 4.79 = r

### Answer: r = 4.79

Expected answer: 91/19

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
20 = (67 - (37 * z))
Subtract 67 from both sides:
-47 = -37 * z
Divide both sides by -37:
z = 47/37
Simplifying the fraction:
z = 1.27

### Answer: 1.27

Expected answer: 47/37

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
65 = ((25 * m) + 15)
Subtract 15 from both sides:
65 - 15 = (25 * m) + 15 - 15
50 = 25 * m
Divide both sides by 25:
50 / 25 = 25 * m / 25
2 = m

### Answer: m = 2

Expected answer: 2

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 79 = ((6 * g) + 19)
2) To isolate the variable g, we need to subtract 19 from both sides:
79 - 19 = ((6 * g) + 19) - 19
3) This simplifies to:
60 = 6 * g
4) Now we need to divide both sides by 6 to solve for g:
60 / 6 = 6 * g / 6
5) This simplifies to:
g = 10

### Answer: 10

Expected answer: 10

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
30 = ((56 * l) - 45)
Add 45 to both sides:
30 + 45 = ((56 * l) - 45) + 45
75 = 56 * l
Divide both sides by 56:
75 / 56 = 56 * l / 56
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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 57 = ((11 * j) + 4)
2) First, we need to subtract 4 from both sides of the equation:
57 - 4 = ((11 * j) + 4) - 4
3) This simplifies to:
53 = 11 * j
4) Now we need to divide both sides by 11 to solve for j:
53 / 11 = 11 * j / 11
5) This simplifies to:
j = 53 / 11
6) Evaluating this, we get:
j = 4.818181818

### Answer: 4.818181818

Expected answer: 53/11

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
36 = 34 * f - 56
Add 56 to both sides:
36 + 56 = 34 * f - 56 + 56
92 = 34 * f
Divide both sides by 34:
92 / 34 = 34 * f / 34
f = 92 / 34
f = 2.7058823529411766

### Answer: 2.7058823529411766

Expected answer: 46/17

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
56 = (70 * u) - 43
Add 43 to both sides:
56 + 43 = (70 * u) - 43 + 43
99 = 70 * u
Divide both sides by 70:
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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
67 = 21 + 9*x
Subtract 21 from both sides:
67 - 21 = 21 + 9*x - 21
46 = 9*x
Divide both sides by 9:
46/9 = 9*x/9
x = 46/9
### Answer: x = 46/9

Expected answer: 46/9

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
We have the equation: 75 = (58 + 16 * i)

To find the unknown variable i, we need to isolate it on one side of the equation.

First, let's simplify the right side of the equation:
58 + 16 * i

Next, we subtract 58 from both sides:
75 - 58 = (58 + 16 * i) - 58
17 = 16 * i

Finally, we divide both sides by 16 to solve for i:
17 / 16 = i
i = 1.0625

### Answer: i = 1.0625

Expected answer: 17/16

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 111 = (54 + (39 * x))
2) First, we need to simplify the right side of the equation:
(54 + (39 * x))
3) 39 * x = 390
4) 54 + 390 = 444
5) Now we can set the left and right sides equal to each other:
111 = 444
6) Solving for x, we get:
444 = 54 + (39 * x)
390 = 39 * x
x = 10

### Answer: x = 10

Expected answer: 19/13

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 155 = ((26 * o) + 68)
2) First, we need to isolate the term with 'o' on the right side of the equation.
3) To do this, we subtract 68 from both sides:
155 - 68 = ((26 * o) + 68) - 68
4) Simplifying, we get:
87 = 26 * o
5) Now we need to solve for 'o'. To do this, we divide both sides by 26:
87 / 26 = 26 * o / 26
6) Simplifying, we get:
o = 87 / 26
7) Calculating the final answer, we get:
o = 3.3461538461538462

### Answer: 3.3461538461538462

Expected answer: 87/26

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 7 = ((12 * p) - 17)
2) To isolate p, we need to get (12 * p) - 17 by itself.
3) First, we add 17 to both sides:
7 + 17 = ((12 * p) - 17) + 17
4) This simplifies to:
24 = 12 * p
5) Finally, we divide both sides by 12 to solve for p:
24 / 12 = 12 * p / 12
6) This gives us:
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?

Claude-3 Haiku:

Okay, let's solve this step-by-step:
We have the equation: 163 = 93 + 55 * b
First, we need to simplify the right side of the equation:
93 + 55 * b
= 93 + 55b
Now, we can set the two sides equal to each other:
163 = 93 + 55b
Subtracting 93 from both sides:
163 - 93 = 55b
70 = 55b
Dividing both sides by 55:
70/55 = b
b = 1.27272727

### Answer: 1.27272727

Expected answer: 14/11

Correct? No

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

Claude-3 Haiku:

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

Given equation: 62 = (u - 26)

Step 1: Subtract 26 from both sides of the equation to isolate the variable 'u'.
62 - 26 = (u - 26) - 26
36 = u - 26

Step 2: Add 26 to both sides of the equation to get the value of 'u'.
36 + 26 = u - 26 + 26
62 = u

### Answer: u = 62

Expected answer: 88

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 179 = ((63 * a) + 93)
2) First, we need to subtract 93 from both sides of the equation:
179 - 93 = ((63 * a) + 93) - 93
3) This simplifies to:
86 = 63 * a
4) Now we need to divide both sides by 63 to solve for a:
86 / 63 = 63 * a / 63
5) This simplifies to:
a = 86 / 63

### Answer: a = 86 / 63

Expected answer: 86/63

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 51 = ((27 * c) - 11)
2) To find the value of c, we need to isolate c on one side of the equation.
3) First, let's add 11 to both sides of the equation:
51 + 11 = ((27 * c) - 11) + 11
4) This simplifies to:
62 = 27 * c
5) Now, we divide both sides by 27 to solve for c:
62 / 27 = 27 * c / 27
6) 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)

Claude-3 Haiku:

Okay, let's solve this step-by-step:
19 = ((28 * d) - 18)
Add 18 to both sides:
19 + 18 = ((28 * d) - 18) + 18
37 = 28 * d
Divide both sides by 28:
37/28 = 28 * d/28
d = 37/28
### Answer: d = 1.321428571

Expected answer: 37/28

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 159 = ((47 * e) + 62)
2) To isolate the term with e, we need to subtract 62 from both sides:
159 - 62 = ((47 * e) + 62) - 62
3) This simplifies to:
97 = 47 * e
4) Now we need to divide both sides by 47 to solve for e:
97 / 47 = 47 * e / 47
5) This simplifies to:
e = 97 / 47

### Answer: e = 97 / 47

Expected answer: 97/47

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 145 = (50 + (91 * g))
2) To isolate the variable g, we need to subtract 50 from both sides:
145 - 50 = (50 + (91 * g)) - 50
3) This simplifies to:
95 = (91 * g)
4) Now we need to divide both sides by 91 to solve for g:
95 / 91 = (91 * g) / 91
5) This simplifies to:
g = 95/91

### Answer: g = 95/91

Expected answer: 95/91

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 123 = ((44 * l) + 73)
2) To isolate the variable l, we need to subtract 73 from both sides:
123 - 73 = ((44 * l) + 73) - 73
3) This simplifies to:
50 = 44 * l
4) Now we divide both sides by 44 to solve for l:
50 / 44 = l
5) Simplifying, we get:
l = 50/44 = 25/22

### Answer: 25/22

Expected answer: 25/22

Correct? Yes

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

Claude-3 Haiku:

To solve the equation 165 = ((19 * q) + 75), we need to isolate the variable q.

Step 1: Subtract 75 from both sides of the equation.
165 - 75 = ((19 * q) + 75) - 75
90 = 19 * q

Step 2: Divide both sides of the equation by 19.
90 / 19 = 19 * q / 19
q = 4.74

### Answer: q = 4.74

Expected answer: 90/19

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 149 = ((18 * g) + 62)
2) To isolate the variable g, we need to subtract 62 from both sides:
149 - 62 = ((18 * g) + 62) - 62
3) This simplifies to:
87 = 18 * g
4) Now we need to divide both sides by 18 to solve for g:
87 / 18 = 18 * g / 18
5) This simplifies to:
g = 87 / 18
6) Evaluating this, we get:
g = 4.833333...

### Answer: 4.833333...

Expected answer: 29/6

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the linear equation: 84 = 20 * d + 21
2) To isolate the variable d, we need to subtract 21 from both sides:
84 - 21 = 20 * d + 21 - 21
3) This simplifies to:
63 = 20 * d
4) Now we need to divide both sides by 20 to solve for d:
63 / 20 = 20 * d / 20
5) This simplifies to:
d = 63 / 20
6) Evaluating this, we get:
d = 3.15

### Answer: 3.15

Expected answer: 63/20

Correct? Yes

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
61 = (50 + (6 * g))
Subtract 50 from both sides:
61 - 50 = (50 + (6 * g)) - 50
11 = 6 * g
Divide both sides by 6:
11 / 6 = g
### Answer: 1.83333

Expected answer: 11/6

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 126 = ((21 * v) + 76)
2) To isolate the variable v, we need to subtract 76 from both sides:
126 - 76 = ((21 * v) + 76) - 76
3) This simplifies to:
50 = 21 * v
4) Now we need to divide both sides by 21 to solve for v:
50 / 21 = 21 * v / 21
5) This gives us:
v = 50 / 21
6) Simplifying the fraction, we get:
v = 2.38

### Answer: v = 2.38

Expected answer: 50/21

Correct? No

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

Claude-3 Haiku:

Okay, let's solve this step-by-step:
1) We have the equation: 74 = ((91 * g) - 24)
2) To isolate the variable g, we need to get rid of the subtraction.
3) We can do this by adding 24 to both sides of the equation:
74 + 24 = ((91 * g) - 24) + 24
4) Simplifying, we get:
98 = 91 * g
5) Now, to solve for g, we divide both sides by 91:
98 / 91 = 91 * g / 91
6) Simplifying, we get:
g = 98 / 91

### Answer: g = 98 / 91

Expected answer: 14/13

Correct? Yes