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

Qwen2-Math 72B:

 Reasoning: 122 = 92 + 28 * u
122 - 92 = 92 + 28 * u - 92
30 = 28 * u
30/28 = 28 * u/28
15/14 = u
### Answer: 15/14

Expected answer: 15/14

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 42 = ((35 * i) - 34)
42+34 = ((35 * i) - 34)+34
76 = 35 * i
76/35 = 35 * i/35
76/35 = i
### Answer: 76/35

Expected answer: 76/35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 94 = 41 + 6 * r
94 - 41 = 41 + 6 * r - 41
53 = 6 * r
53/6 = 6 * r / 6
53/6 = r
### Answer: 53/6

Expected answer: 53/6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 158 = ((19 * i) + 94)
158 - 94 = ((19 * i) + 94) - 94
64 = 19 * i
64/19 = 19 * i/19
3.36842105263 = i
### Answer: 3.36842105263

Expected answer: 64/19

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 134 = ((30 * q) + 54)
134 - 54 = 30 * q
80 = 30 * q
q = 80 / 30
q = <<80/30=2.6666666666666665>>2.6666666666666665
### Answer: 2.6666666666666665

Expected answer: 8/3

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To solve for y, we need to isolate y on one side of the equation. We can do this by subtracting 27 from both sides of the equation.
94 - 27 = (27 + y) - 27
67 = y
### Answer: 67

Expected answer: 67

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 9 = ((23 * h) - 70)
9 + 70 = ((23 * h) - 70) + 70
79 = 23 * h
79 / 23 = 23 * h / 23
79 / 23 = h
### Answer: 79 / 23

Expected answer: 79/23

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
92 = 33 * t + 26
92 - 26 = 33 * t
66 = 33 * t
t = 66 / 33
t = 2
### Answer: 2

Expected answer: 2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 29 from both sides: 123 - 29 = 94.
Divide both sides by 15: 94 / 15 = 6.26666666667.
Round to the nearest hundredth: e = 6.27.
### Answer: 6.27

Expected answer: 94/15

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 16 = ((75 * k) - 80)
16 + 80 = 75 * k
96 = 75 * k
k = 96 / 75
k = 1.28
### Answer: 1.28

Expected answer: 32/25

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
131 = ((5 * q) + 89)
131 - 89 = ((5 * q) + 89) - 89
42 = 5 * q
42 / 5 = (5 * q) / 5
8.4 = q
### Answer: 8.4

Expected answer: 42/5

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 147 = ((38 * p) + 56)
147 - 56 = 38 * p
91 = 38 * p
p = 91 / 38
p = <<91/38=2.394736842105263>>2.394736842105263
### Answer: 2.394736842105263

Expected answer: 91/38

Correct? No

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

Qwen2-Math 72B:

 Reasoning: To solve for 'j', we first isolate the term with 'j' on one side of the equation. We can do this by subtracting 23 from both sides of the equation:
76 - 23 = 42 * j + 23 - 23
53 = 42 * j
Next, we divide both sides of the equation by 42 to solve for 'j':
53 / 42 = 42 * j / 42
1.2619047619047618 = j
### Answer: 1.2619047619047618

Expected answer: 53/42

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To find the value of 'l', we need to isolate 'l' on one side of the equation. We can do this by first subtracting 43 from both sides of the equation:

138 - 43 = 43 + 25 * l - 43

This simplifies to:

95 = 25 * l

Next, we need to divide both sides of the equation by 25 to solve for 'l':

95 / 25 = 25 * l / 25

This simplifies to:

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)

Qwen2-Math 72B:

 Reasoning: 80 = ((24 * w) + 35)
80 - 35 = ((24 * w) + 35) - 35
45 = 24 * w
45/24 = 24 * w/24
15/8 = w
### Answer: 15/8

Expected answer: 15/8

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 77 = (33 + (14 * x))
77 = 33 + 14x
77 - 33 = 14x
44 = 14x
x = 44/14
x = 3.14285714286
### Answer: 3.14285714286

Expected answer: 22/7

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 110 = 12 + 88 * y
110 - 12 = 12 + 88 * y - 12
98 = 88 * y
98/88 = 88 * y/88
1.11 = y
### Answer: 1.11

Expected answer: 49/44

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 179 = 82 * s + 80
179 - 80 = 82 * s
99 = 82 * s
s = 99 / 82
### Answer: s = 99 / 82

Expected answer: 99/82

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 129 = 26 * m + 66
129 - 66 = 26 * m
63 = 26 * m
m = 63 / 26
m = <<63/26=2.423076923076923>>2.423076923076923
### Answer: 2.423076923076923

Expected answer: 63/26

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
82 = ((27 * q) - 17)
82 + 17 = ((27 * q) - 17) + 17
99 = 27 * q
99 / 27 = 27 * q / 27
3.6666666666666665 = q
### Answer: 3.6666666666666665

Expected answer: 11/3

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 141 = (64 + (22 * k))
141 = 64 + 22k
141 - 64 = 64 + 22k - 64
77 = 22k
77/22 = 22k/22
77/22 = k
7/2 = k
### Answer: 7/2

Expected answer: 7/2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To solve for 'v', we first isolate the term with 'v' by subtracting 91 from both sides of the equation:
175 - 91 = 45 * v
84 = 45 * v
Next, we divide both sides by 45 to solve for 'v':
v = 84 / 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)

Qwen2-Math 72B:

 Reasoning: 
50 = ((63 * k) - 18)
50 + 18 = 63 * k
68 = 63 * k
k = 68 / 63
k = <<68/63=1.0793650793650793>>1.0793650793650793
### Answer: 1.0793650793650793

Expected answer: 68/63

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 65 = ((8 * l) - 10)
65 + 10 = 8 * l
75 = 8 * l
l = 75 / 8
### Answer: 9.375

Expected answer: 75/8

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 39/10

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 91 = 9 * a + 61
91 - 61 = 9 * a
30 = 9 * a
a = 30 / 9
a = 10/3
### Answer: 10/3

Expected answer: 10/3

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 157 = 53 * i + 61
157 - 61 = 53 * i + 61 - 61
96 = 53 * i
96/53 = 53 * i/53
1.81 = i
### Answer: 1.81

Expected answer: 96/53

Correct? No

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

Qwen2-Math 72B:

 Reasoning: Subtract 14 from both sides to get 57 = 24 * q.
Divide both sides by 24 to get q = 57/24 = <<57/24=2.375>>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

Qwen2-Math 72B:

 Reasoning: 163 = 96 + 14 * i
163 - 96 = 96 + 14 * i - 96
67 = 14 * i
67 / 14 = 14 * i / 14
4.7857142857142855 = i
### Answer: 4.7857142857142855

Expected answer: 67/14

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
59 = (70 * e) - 23
59 + 23 = (70 * e) - 23 + 23
82 = 70 * e
82 / 70 = (70 * e) / 70
1.1714285714285714 = e
### Answer: 1.1714285714285714

Expected answer: 41/35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
147 = 36 * o + 74
147 - 74 = 36 * o
73 = 36 * o
o = 73 / 36
o = 2.0277777777777777
### Answer: 2.0277777777777777

Expected answer: 73/36

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 71 = 93 - (13 * d)
13 * d = 93 - 71
13 * d = 22
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

Qwen2-Math 72B:

 Reasoning: 118 = 64 + 6 * n
118 - 64 = 6 * n
54 = 6 * n
n = 54 / 6
n = 9
### Answer: 9

Expected answer: 9

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 61 = ((5 * d) - 7)
61 + 7 = 5 * d
68 = 5 * d
d = 68 / 5
### Answer: 68/5

Expected answer: 68/5

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
79 = ((8 * z) - 18)
79 + 18 = 8 * z
97 = 8 * z
z = 97 / 8
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)

Qwen2-Math 72B:

 Reasoning: Subtract 63 from both sides of the equation:
129 - 63 = (2 * z) + 63 - 63
66 = 2 * z
Divide both sides by 2:
66 / 2 = 2 * z / 2
33 = z
### Answer: 33

Expected answer: 33

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
127 = (29 + (32 * e))
127 = 29 + 32e
127 - 29 = 29 + 32e - 29
98 = 32e
98/32 = 32e/32
3.0625 = e
### Answer: 3.0625

Expected answer: 49/16

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
30 = ((50 * x) - 35)
30 + 35 = ((50 * x) - 35) + 35
65 = 50 * x
65 / 50 = (50 * x) / 50
65 / 50 = x
1.3 = x
### Answer: 1.3

Expected answer: 13/10

Correct? Yes

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

Qwen2-Math 72B:

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

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

Next, we need to solve for x. We can do this by dividing both sides of the equation by 10:

57 / 10 = 10 * x / 10
5.7 = x

### Answer: 5.7

Expected answer: 57/10

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 103 = ((38 * a) + 51)
103 - 51 = ((38 * a) + 51) - 51
52 = 38 * a
52/38 = (38 * a)/38
1.36842105263 = a
### Answer: 1.36842105263

Expected answer: 26/19

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 105 = 28 * f + 8
105 - 8 = 28 * f
97 = 28 * f
f = 97 / 28
f = <<97/28=3.4642857142857144>>3.4642857142857144
### Answer: 3.4642857142857144

Expected answer: 97/28

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
12 = 63 - 50 * u
12 - 63 = 63 - 63 - 50 * u
-51 = -50 * u
-51 / -50 = -50 * u / -50
51/50 = u
### Answer: 51/50

Expected answer: 51/50

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 60 = 42 + (10 * b)
60 - 42 = 42 + (10 * b) - 42
18 = 10 * b
18/10 = 10 * b / 10
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)

Qwen2-Math 72B:

 Reasoning: First, subtract 13 from both sides of the equation to isolate the term with 'j':

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

Next, 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

Qwen2-Math 72B:

 Reasoning: Subtract 91 from both sides of the equation to isolate the term with s: 153 - 91 = 5 * s
62 = 5 * s
Divide both sides by 5 to solve for s: s = 62 / 5
### Answer: s = 62 / 5

Expected answer: 62/5

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 65 = (22 + (30 * g))
65 - 22 = (30 * g)
43 = (30 * g)
43/30 = g
### Answer: 43/30

Expected answer: 43/30

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 10 from both sides:
96 - 10 = 86 = 29 * f
Divide both sides by 29:
86 / 29 = 3 = f
### Answer: 3

Expected answer: 86/29

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 80 = (19 + (14 * q))
80 = 19 + 14q
80 - 19 = 14q
61 = 14q
q = 61/14
q = 4.35714285714
### Answer: 4.35714285714

Expected answer: 61/14

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 
145 = 95 + 46 * m
145 - 95 = 46 * m
50 = 46 * 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

Qwen2-Math 72B:

 Reasoning: 68 = 13 + 6 * i
68 - 13 = 13 + 6 * i - 13
55 = 6 * i
55 / 6 = 6 * i / 6
55 / 6 = i
### Answer: 55 / 6

Expected answer: 55/6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 25 = ((74 * h) - 61)
25 + 61 = ((74 * h) - 61) + 61
86 = 74 * h
86/74 = (74 * h)/74
1.1621621621621622 = h
### Answer: 1.1621621621621622

Expected answer: 43/37

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 
51 = ((6 * q) - 30)
51 + 30 = 6 * q
81 = 6 * q
q = 81 / 6
q = 13.5
### Answer: 13.5

Expected answer: 27/2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
38 = 81 - 36 * r
36 * r = 81 - 38
36 * r = 43
r = 43 / 36
r = 1.1944444444444445
### Answer: 1.1944444444444445

Expected answer: 43/36

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 90 = (23 + (56 * a))
90 - 23 = (23 + (56 * a)) - 23
67 = 56 * a
67 / 56 = 56 * a / 56
a = 67 / 56
### Answer: 67/56

Expected answer: 67/56

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 81 = 13 + 30 * h
81 - 13 = 13 + 30 * h - 13
68 = 30 * h
68/30 = 30 * h/30
68/30 = h
### Answer: 68/30

Expected answer: 34/15

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 160 = ((62 * m) + 69)
160 - 69 = 62 * m
91 = 62 * m
m = 91 / 62
m = 1.467741935483871
### Answer: 1.467741935483871

Expected answer: 91/62

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: First, isolate the term with q by subtracting 69 from both sides of the equation:
100 - 69 = 69 + 28 * q - 69
31 = 28 * q
Next, 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)

Qwen2-Math 72B:

 Reasoning: To solve for w, we need to isolate w on one side of the equation. We can do this by first subtracting 94 from both sides of the equation:

192 - 94 = 98 * w

98 = 98 * w

Next, we can divide both sides of the equation by 98 to solve for w:

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

Qwen2-Math 72B:

 Reasoning: 40 = 93 - 33 * y
33 * y = 93 - 40
33 * y = 53
y = 53/33
y = 1.606060606060606
### Answer: 1.606060606060606

Expected answer: 53/33

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To solve for u, we first isolate the term with u on one side of the equation. We can do this by adding 20 to both sides of the equation:
74 + 20 = (48 * u) - 20 + 20
94 = 48 * u
Next, we divide both sides of the equation by 48 to solve for u:
94 / 48 = (48 * u) / 48
1.9583333333333333 = u
### Answer: 1.9583333333333333

Expected answer: 47/24

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 89/86

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 122 = (36 + (56 * c))
122 = 36 + 56c
122 - 36 = 36 + 56c - 36
86 = 56c
86/56 = 56c/56
1.5357142857142856 = c
### Answer: 1.5357142857142856

Expected answer: 43/28

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 186 = 99 + 81 * q
186 - 99 = 81 * q
87 = 81 * q
q = 87/81 = <<87/81=1.0740740740740742>>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)

Qwen2-Math 72B:

 Reasoning: 
120 = ((42 * u) + 77)
120 - 77 = 42 * u
43 = 42 * u
u = 43 / 42
### Answer: 43/42

Expected answer: 43/42

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 103 = (52 + (6 * j))
103 - 52 = (52 + (6 * j)) - 52
51 = 6 * j
51/6 = 6 * j / 6
8.5 = j
### Answer: 8.5

Expected answer: 17/2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 56 = (82 - (4 * n))
56 = (82 - 4n)
56 = 82 - 4n
56 - 82 = 82 - 4n - 82
-26 = -4n
-26/-4 = -4n/-4
6.5 = n
### Answer: 6.5

Expected answer: 13/2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 77 = 14 + 60 * m
77 - 14 = 14 + 60 * m - 14
63 = 60 * m
63/60 = 60 * m/60
21/20 = m
### Answer: 21/20

Expected answer: 21/20

Correct? Yes

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

Qwen2-Math 72B:

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

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)

Qwen2-Math 72B:

 Reasoning: 
2 = 81 - (15 * x)
2 = 81 - 15x
2 - 81 = -15x
-79 = -15x
x = -79 / -15
x = 5.26666666667
### Answer: 5.26666666667

Expected answer: 79/15

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 177 = 88 + 6 * e
177 - 88 = 6 * e
89 = 6 * e
e = 89 / 6
e = 14.833333333333334
### Answer: 14.833333333333334

Expected answer: 89/6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To find the value of 'r', we need to isolate 'r' on one side of the equation.
First, subtract 15 from both sides of the equation: 95 - 15 = 3*r + 15 - 15
This simplifies to: 80 = 3*r
Next, divide both sides of the equation by 3: 80/3 = 3*r/3
This simplifies to: 26.67 = r
### Answer: 26.67

Expected answer: 80/3

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 154 = (70 + (31 * v))
154 = 70 + 31v
154 - 70 = 31v
84 = 31v
v = 84/31
v = <<84/31=2.7096774193548387>>2.7096774193548387
### Answer: 2.7096774193548387

Expected answer: 84/31

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 179 = ((70 * r) + 87)
179 - 87 = ((70 * r) + 87) - 87
92 = 70 * r
92/70 = 70 * r/70
92/70 = r
1.3142857142857143 = r
### Answer: 1.3142857142857143

Expected answer: 46/35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To solve for r, we need to isolate r on one side of the equation. We can do this by first subtracting 2 from both sides of the equation:

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

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

91 / 19 = (19 * r) / 19
4.789473684210526 = r

### Answer: 4.789473684210526

Expected answer: 91/19

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 20 = (67 - (37 * z))
20 = 67 - 37z
20 - 67 = -37z
-47 = -37z
z = -47 / -37
z = 1.2702702702702702
### Answer: 1.2702702702702702

Expected answer: 47/37

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 65 = ((25 * m) + 15)
65 - 15 = ((25 * m) + 15) - 15
50 = 25 * m
50 / 25 = (25 * m) / 25
2 = m
### Answer: 2

Expected answer: 2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 19 from both sides:
79 - 19 = (6 * g) + 19 - 19
60 = 6 * g
Divide both sides by 6:
60 / 6 = (6 * g) / 6
10 = g
### Answer: 10

Expected answer: 10

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 30 = ((56 * l) - 45)
30 + 45 = 56 * l
75 = 56 * l
l = 75 / 56
l = 1.33928571429
### Answer: 1.33928571429

Expected answer: 75/56

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 57 = ((11 * j) + 4)
57-4 = ((11 * j) + 4)-4
53 = 11 * j
53/11 = 11 * j/11
53/11 = j
### Answer: 53/11

Expected answer: 53/11

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To solve for 'f', we first isolate the term with 'f' on one side of the equation. We can do this by adding 56 to both sides of the equation:
36 + 56 = 34 * f - 56 + 56
92 = 34 * f
Next, we divide both sides of the equation by 34 to solve for 'f':
92 / 34 = 34 * f / 34
2.7058823529411764 = f
### Answer: 2.7058823529411764

Expected answer: 46/17

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 
56 = (70 * u) - 43
56 + 43 = (70 * u) - 43 + 43
99 = 70 * u
99 / 70 = 70 * u / 70
99 / 70 = u
1.41428571429 = u
### Answer: 1.41428571429

Expected answer: 99/70

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 67 = 21 + 9*x
67-21 = 21 + 9*x - 21
46 = 9*x
46/9 = 9*x/9
46/9 = x
### Answer: 46/9

Expected answer: 46/9

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 75 = (58 + 16 * i)
16 * i = 75 - 58
16 * i = 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))

Qwen2-Math 72B:

 Reasoning: 111 = (54 + (39 * x))
111 - 54 = (39 * x)
57 = (39 * x)
57 / 39 = x
1.4615384615384615 = x
### Answer: 1.4615384615384615

Expected answer: 19/13

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
155 = ((26 * o) + 68)
155 - 68 = 26 * o
87 = 26 * o
o = 87 / 26
o = <<87/26=3.3461538461538463>>3.3461538461538463
### Answer: 3.3461538461538463

Expected answer: 87/26

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 
7 = ((12 * p) - 17)
7 + 17 = ((12 * p) - 17) + 17
24 = 12 * p
24 / 12 = (12 * p) / 12
2 = p
### Answer: 2

Expected answer: 2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: To find the value of 'b', we need to isolate it on one side of the equation.
First, subtract 93 from both sides of the equation: 163 - 93 = 55 * b.
This simplifies to 70 = 55 * b.
Next, divide both sides by 55 to solve for 'b': 70 / 55 = b.
This simplifies to b = 1.27 (rounded to two decimal places).
### Answer: 1.27

Expected answer: 14/11

Correct? No

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

Qwen2-Math 72B:

 Reasoning: To solve for 'u', we need to isolate 'u' on one side of the equation. We can do this by adding 26 to both sides 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)

Qwen2-Math 72B:

 Reasoning: 179 = ((63 * a) + 93)
179 - 93 = ((63 * a) + 93) - 93
86 = 63 * a
86/63 = (63 * a)/63
1.365 = a
### Answer: 1.365

Expected answer: 86/63

Correct? No

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

Qwen2-Math 72B:

 Reasoning: 51 = ((27 * c) - 11)
51 + 11 = ((27 * c) - 11) + 11
62 = 27 * c
62 / 27 = 27 * c / 27
c = 62 / 27
### Answer: 62/27

Expected answer: 62/27

Correct? Yes

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

Qwen2-Math 72B:

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

Expected answer: 37/28

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 62 from both sides: 159 - 62 = 97
Divide both sides by 47: 97 / 47 = 2.0638297872340425
### Answer: e = 2.0638297872340425

Expected answer: 97/47

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 145 = (50 + (91 * g))
145 - 50 = (50 + (91 * g)) - 50
95 = 91 * g
95 / 91 = (91 * g) / 91
95 / 91 = g
### Answer: 95 / 91

Expected answer: 95/91

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 73 from both sides: 123 - 73 = 44 * l
50 = 44 * l
Divide both sides by 44: l = 50/44
### Answer: l = 50/44

Expected answer: 25/22

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 165 = ((19 * q) + 75)
165 - 75 = ((19 * q) + 75) - 75
90 = 19 * q
90/19 = 19 * q/19
4.7368421052631575 = q
### Answer: 4.7368421052631575

Expected answer: 90/19

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: Subtract 62 from both sides: 149 - 62 = 18 * g
87 = 18 * g
Divide both sides by 18: g = 87 / 18
### Answer: g = 4.833333333333333

Expected answer: 29/6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 84 - 21 = 20 * d
63 = 20 * d
d = 63 / 20
### Answer: 3.15

Expected answer: 63/20

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 61 = (50 + (6 * g))
61 = 50 + 6g
61 - 50 = 6g
11 = 6g
g = 11/6
### Answer: 11/6

Expected answer: 11/6

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: 126 = ((21 * v) + 76)
126 - 76 = ((21 * v) + 76) - 76
50 = 21 * v
50 / 21 = (21 * v) / 21
2.380952380952381 = v
### Answer: 2.380952380952381

Expected answer: 50/21

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: First, add 24 to both sides of the equation to isolate the term with g on one side:
74 + 24 = (91 * g) - 24 + 24
98 = 91 * g

Next, divide both sides by 91 to solve for g:
98 / 91 = (91 * g) / 91
1.076923076923077 = g

### Answer: g ≈ 1.077

Expected answer: 14/13

Correct? No