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

Qwen2-Math 7B:

 Reasoning: 122 = 92 + 28 * u
122 - 92 = 28 * u
30 = 28 * u
u = 30 / 28
u = <<30/28=1.0714285714285714>>1.0714285714285714
### Answer: 1.0714285714285714

Expected answer: 15/14

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 42 = ((35 * i) - 34)
42 + 34 = 35 * i
76 = 35 * i
i = 76 / 35
i = <<76/35=2.1714285714285716>>2.1714285714285716
### Answer: 2.1714285714285716

Expected answer: 76/35

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 94 = 41 + 6 * r
94 - 41 = 6 * r
53 = 6 * r
r = 53 / 6
r = <<53/6=8.833333333333334>>8.833333333333334
### Answer: 8.833333333333334

Expected answer: 53/6

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
158 = ((19 * i) + 94)
158 - 94 = 19 * i
64 = 19 * i
i = 64 / 19
i = <<64/19=3.368421052631579>>3.368421052631579
### Answer: 3.368421052631579

Expected answer: 64/19

Correct? No

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

Qwen2-Math 7B:

 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 7B:

 Reasoning: 94 = (27 + y)
94 - 27 = y
67 = y
### Answer: 67

Expected answer: 67

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 9 = ((23 * h) - 70)
9 + 70 = 23 * h
79 = 23 * h
h = 79 / 23
h = <<79/23=3.434782608695652>>3.434782608695652
### Answer: 3.434782608695652

Expected answer: 79/23

Correct? No

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

Qwen2-Math 7B:

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

Expected answer: 2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
123 = ((15 * e) + 29)
123 - 29 = 15 * e
94 = 15 * e
e = 94 / 15
e = <<94/15=6.266666666666667>>6.266666666666667
### Answer: 6.266666666666667

Expected answer: 94/15

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 16 = ((75 * k) - 80)
16 + 80 = 75 * k
96 = 75 * k
k = 96 / 75
k = <<96/75=1.28>>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 7B:

 Reasoning: 
131 = ((5 * q) + 89)
131 - 89 = 5 * q
42 = 5 * q
42/5 = q
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 7B:

 Reasoning: 147 = ((38 * p) + 56)
147 - 56 = 38 * p
91 = 38 * p
p = 91 / 38
p = <<91/38=2.3947368421052634>>2.3947368421052634
### Answer: 2.3947368421052634

Expected answer: 91/38

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 23 from both sides of the equation to isolate the term with 'j': 76 - 23 = 42 * j + 23 - 23
Simplify: 53 = 42 * j
Divide both sides by 42 to solve for 'j': 53 / 42 = 42 * j / 42
Simplify: j = 53 / 42
### Answer: j = 53 / 42

Expected answer: 53/42

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 43 from both sides of the equation to isolate the term with 'l': 

138 - 43 = 25 * l

95 = 25 * l

Divide both sides by 25 to solve for 'l': 

95 / 25 = l

3.8 = l

### Answer: l = 3.8

Expected answer: 19/5

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 80 = ((24 * w) + 35)
80 - 35 = 24 * w
45 = 24 * w
w = 45 / 24
w = <<45/24=1.875>>1.875
### Answer: 1.875

Expected answer: 15/8

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 77 = (33 + (14 * x))
44 = 14 * x
x = 44/14
x = <<44/14=3.142857142857143>>3.142857142857143

Expected answer: 22/7

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 110 = 12 + 88 * y
110 - 12 = 88 * y
98 = 88 * y
y = 98 / 88
y = <<98/88=1.1111111111111112>>1.1111111111111112

Expected answer: 49/44

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 179 = 82 * s + 80
179 - 80 = 82 * s
99 = 82 * s
s = 99 / 82
s = <<99/82=1.2195121951219512>>1.2195121951219512

Expected answer: 99/82

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 66 from both sides of the equation: 129 - 66 = 26 * m
Simplify: 63 = 26 * m
Divide both sides by 26: 63 / 26 = m
Simplify: m = <<63/26=2.423076923076923>>2.423076923076923
### Answer: m = 2.423076923076923

Expected answer: 63/26

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
82 = ((27 * q) - 17)
82 + 17 = 27 * q
99 = 27 * q
q = 99 / 27
q = <<99/27=3.6666666666666665>>3.6666666666666665
### 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 7B:

 Reasoning: 141 = (64 + (22 * k))
141 - 64 = 22 * k
77 = 22 * k
k = 77 / 22
k = <<77/22=3.5>>3.5
### Answer: 3.5

Expected answer: 7/2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
175 = 91 + 45 * v
175 - 91 = 45 * v
84 = 45 * v
v = 84 / 45
v = <<84/45=1.8666666666666667>>1.8666666666666667
### Answer: 1.8666666666666667

Expected answer: 28/15

Correct? Yes

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

Qwen2-Math 7B:

 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 7B:

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

Expected answer: 75/8

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 39/10

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 91 = 9 * a + 61
91 - 61 = 9 * a
30 = 9 * a
a = 30 / 9
a = <<30/9=3.3333333333333335>>3.3333333333333335
### Answer: 3.3333333333333335

Expected answer: 10/3

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 61 from both sides of the equation:
157 - 61 = 53 * i
96 = 53 * i
Divide both sides by 53:
96 / 53 = i
i = <<96/53=1.8113207547169811>>1.8113207547169811

Expected answer: 96/53

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
71 = ((24 * q) + 14)
71 - 14 = 24 * q
57 = 24 * q
q = 57 / 24
q = <<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 7B:

 Reasoning: Subtract 96 from both sides of the equation to isolate the term with i:
163 - 96 = 14 * i
67 = 14 * i
Divide both sides by 14 to solve for i:
i = 67 / 14
i = <<67/14=4.785714285714286>>4.785714285714286
### Answer: i = 4.785714285714286

Expected answer: 67/14

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 41/35

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 74 from both sides of the equation: 147 - 74 = 36 * o
Simplify: 73 = 36 * o
Divide both sides by 36: 73/36 = o
Simplify: o = <<73/36=2.0277777777777777>>2.0277777777777777
### Answer: o = 2.0277777777777777

Expected answer: 73/36

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 71 = 93 - (13 * d)
13 * d = 93 - 71
13 * d = 22
d = 22 / 13
d = <<22/13=1.6923076923076923>>1.6923076923076923
### Answer: 1.6923076923076923

Expected answer: 22/13

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
118 = 64 + 6 * n
118 - 64 = 6 * n
54 = 6 * n
n = 54 / 6
n = <<54/6=9>>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 7B:

 Reasoning: 61 = ((5 * d) - 7)
61 + 7 = 5 * d
68 = 5 * d
d = 68 / 5
d = <<68/5=13.6>>13.6
### Answer: 13.6

Expected answer: 68/5

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 79 = ((8 * z) - 18)
79 + 18 = 8z
97 = 8z
z = 97/8
z = <<97/8=12.125>>12.125
### Answer: 12.125

Expected answer: 97/8

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 33

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
127 = (29 + (32 * e))
127 - 29 = 32 * e
98 = 32 * e
98/32 = e
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 7B:

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

Expected answer: 13/10

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 66 = 9 + 10 * x
66 - 9 = 10 * x
57 = 10 * x
x = 57 / 10
x = <<57/10=5.7>>5.7
### 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 7B:

 Reasoning: 
103 = ((38 * a) + 51)
103 - 51 = 38 * a
52 = 38 * a
a = 52 / 38
a = <<52/38=1.368421052631579>>1.368421052631579
### Answer: 1.368421052631579

Expected answer: 26/19

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 105 = 28 * f + 8
105 - 8 = 28 * f
97 = 28 * f
f = 97 / 28
f = <<97/28=3.4642857142857145>>3.4642857142857145
### Answer: 3.4642857142857145

Expected answer: 97/28

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
12 = 63 - 50 * u
50 * u = 63 - 12
50 * u = 51
u = 51 / 50
u = <<51/50=1.02>>1.02
### Answer: 1.02

Expected answer: 51/50

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
60 = 42 + (10 * b)
60 - 42 = 10 * b
18 = 10 * b
b = 18 / 10
b = <<18/10=1.8>>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)

Qwen2-Math 7B:

 Reasoning: 84 = ((25 * j) + 13)
84 - 13 = 25 * j
71 = 25 * j
j = 71 / 25
j = <<71/25=2.84>>2.84
### Answer: 2.84

Expected answer: 71/25

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 153 - 91 = 62
62 = 5 * s
s = 62/5
s = <<62/5=12.4>>12.4
### Answer: 12.4

Expected answer: 62/5

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 65 = (22 + (30 * g))
65 - 22 = 30 * g
43 = 30 * g
g = 43/30
g = <<43/30=1.4333333333333333>>1.4333333333333333

Expected answer: 43/30

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 96 = ((29 * f) + 10)
96 - 10 = 29 * f
86 = 29 * f
f = 86 / 29
f = <<86/29=3>>3
### Answer: 3

Expected answer: 86/29

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 80 = (19 + (14 * q))
80 - 19 = 14 * q
61 = 14 * q
q = 61/14
q = <<61/14=4.357142857142857>>4.357142857142857
### Answer: 4.357142857142857

Expected answer: 61/14

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 95 from both sides of the equation to isolate the term with 'm': 145 - 95 = 46 * m
Simplify: 50 = 46 * m
Divide both sides by 46 to solve for 'm': m = 50 / 46
Simplify: m = <<50/46=1.0869565217391304>>1.0869565217391304
### Answer: m = 1.0869565217391304

Expected answer: 25/23

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 13 from both sides of the equation to isolate the term with 'i': 68 - 13 = 6 * i
Simplify: 55 = 6 * i
Divide both sides by 6 to solve for 'i': 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)

Qwen2-Math 7B:

 Reasoning: 25 = ((74 * h) - 61)
25 + 61 = 74 * h
86 = 74 * h
h = 86 / 74
h = <<86/74=1.1622807017543859>>1.1622807017543859
### Answer: 1.1622807017543859

Expected answer: 43/37

Correct? No

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

Qwen2-Math 7B:

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

Expected answer: 27/2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
38 = 81 - 36 * r
36 * r = 81 - 38
36 * r = 43
r = 43 / 36
r = <<43/36=1.1944444444444444>>1.1944444444444444
### Answer: 1.1944444444444444

Expected answer: 43/36

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
90 = (23 + (56 * a))
90 - 23 = 56 * a
67 = 56 * a
a = 67/56
a = <<67/56=1.2<<67/56=1.2>>1.2
### Answer: 1.2

Expected answer: 67/56

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 81 = 13 + 30 * h
81 - 13 = 30 * h
68 = 30 * h
h = 68 / 30
h = <<68/30=2.2666666666666665>>2.2666666666666665
### Answer: 2.2666666666666665

Expected answer: 34/15

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 160 = ((62 * m) + 69)
160 - 69 = 62 * m
91 = 62 * m
m = 91 / 62
m = <<91/62=1.46774193548387>>1.46774193548387
### Answer: 1.46774193548387

Expected answer: 91/62

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 
100 = 69 + 28 * q
100 - 69 = 28 * q
31 = 28 * q
q = 31 / 28
q = <<31/28=1.1071428571428572>>1.1071428571428572
### Answer: 1.1071428571428572

Expected answer: 31/28

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 192 = ((98 * w) + 94)
192 - 94 = 98 * w
98 = 98 * 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 7B:

 Reasoning: 
40 = 93 - 33 * y
33 * y = 93 - 40
33 * y = 53
y = 53 / 33
y = <<53/33=1.606060606060606>>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 7B:

 Reasoning: 
74 = ((48 * u) - 20)
74 + 20 = 48 * u
94 = 48 * u
u = 94 / 48
u = <<94/48=1.9583333333333333>>1.9583333333333333
### Answer: 1.9583333333333333

Expected answer: 47/24

Correct? Yes

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

Qwen2-Math 7B:

 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 7B:

 Reasoning: 
122 = (36 + (56 * c))
122 - 36 = 56 * c
86 = 56 * c
c = 86 / 56
c = <<86/56=1.5357142857142858>>1.5357142857142858
### Answer: 1.5357142857142858

Expected answer: 43/28

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
186 = 99 + 81 * q
186 - 99 = 81 * q
87 = 81 * q
q = 87 / 81
q = <<87/81=1.0833333333333333>>1.0833333333333333
### Answer: 1.0833333333333333

Expected answer: 29/27

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 
120 = ((42 * u) + 77)
120 - 77 = 42 * u
43 = 42 * u
u = 43 / 42
u = <<43/42=1.0238095238095238>>1.0238095238095238
### Answer: 1.0238095238095238

Expected answer: 43/42

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 17/2

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 13/2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 14 from both sides of the equation:
77 - 14 = 60 * m
63 = 60 * m
Divide both sides by 60:
63 / 60 = m
1.05 = m
### Answer: 1.05

Expected answer: 21/20

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 17 from both sides of the equation to isolate 'e'.
31 - 17 = e
14 = e
### Answer: 14

Expected answer: 14

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
2 = 81 - (15 * x)
15 * x = 81 - 2
15 * x = 79
x = 79 / 15
x = <<79/15=5.266666666666667>>5.266666666666667
### Answer: 5.266666666666667

Expected answer: 79/15

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 177 = 88 + 6 * e
177 - 88 = 6 * e
89 = 6 * e
e = 89 / 6
e = <<89/6=14.833333333333334>>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 7B:

 Reasoning: Subtract 15 from both sides of the equation: 95 - 15 = 3*r
Simplify: 80 = 3*r
Divide both sides by 3: 80/3 = r
Simplify: r = <<80/3=26.666666666666668>>26.666666666666668
### Answer: r = 26.666666666666668

Expected answer: 80/3

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 84/31

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
179 = ((70 * r) + 87)
179 - 87 = 70 * r
92 = 70 * r
r = 92 / 70
r = <<92/70=1.3142857142857142>>1.3142857142857142
### Answer: 1.3142857142857142

Expected answer: 46/35

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 93 = ((19 * r) + 2)
93 - 2 = 19 * r
91 = 19 * r
r = 91 / 19
r = <<91/19=4.789473684210526>>4.789473684210526
### 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 7B:

 Reasoning: 
20 = (67 - (37 * z))
20 = 67 - 37z
20 - 67 = -37z
-47 = -37z
z = -47 / -37
z = <<-47 / -37=1.2702702702702703>>1.2702702702702703
### Answer: 1.2702702702702703

Expected answer: 47/37

Correct? No

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

Qwen2-Math 7B:

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

Expected answer: 2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 79 = ((6 * g) + 19)
79 - 19 = 6 * g
60 = 6 * g
60 / 6 = g
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 7B:

 Reasoning: 30 = ((56 * l) - 45)
30 + 45 = 56 * l
75 = 56 * l
l = 75 / 56
l = <<75/56=1.3392857142857143>>1.3392857142857143
### Answer: 1.3392857142857143

Expected answer: 75/56

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 57 = ((11 * j) + 4)
57 - 4 = 11 * j
53 = 11 * j
j = 53 / 11
j = <<53/11=4.818181818181818>>4.818181818181818
### Answer: 4.818181818181818

Expected answer: 53/11

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
36 = 34 * f - 56
36 + 56 = 34 * f
92 = 34 * f
f = 92 / 34
f = <<92/34=2.65>>2.65
### Answer: 2.65

Expected answer: 46/17

Correct? No

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

Qwen2-Math 7B:

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

Expected answer: 99/70

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 
67 = 21 + 9*x
67 - 21 = 9*x
46 = 9*x
x = 46/9
x = <<46/9=5.111111111111111>>5.111111111111111
### Answer: 5.111111111111111

Expected answer: 46/9

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 75 = (58 + 16 * i)
16 * i = 75 - 58
16 * i = 17
i = 17 / 16
i = <<17/16=1.0625>>1.0625
### Answer: 1.0625

Expected answer: 17/16

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 111 = (54 + (39 * x))
111 - 54 = 39 * x
57 = 39 * x
x = 57 / 39
x = <<57/39=1.4615384615384615>>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 7B:

 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 7B:

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

Expected answer: 2

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 163 = 93 + 55 * b
163 - 93 = 55 * b
70 = 55 * b
b = 70 / 55
b = <<70/55=1.2727272727272727>>1.2727272727272727
### Answer: 1.2727272727272727

Expected answer: 14/11

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
62 = (u - 26)
62 + 26 = u
u = <<62+26=88>>88
### Answer: 88

Expected answer: 88

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
179 = ((63 * a) + 93)
179 - 93 = 63 * a
86 = 63 * a
a = 86 / 63
a = <<86/63=1.3650793650793651>>1.3650793650793651
### Answer: 1.3650793650793651

Expected answer: 86/63

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 51 = ((27 * c) - 11)
51 + 11 = 27 * c
62 = 27 * c
c = 62 / 27
c = <<62/27=2.2962962962962963>>2.2962962962962963
### Answer: 2.2962962962962963

Expected answer: 62/27

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 37/28

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
159 = ((47 * e) + 62)
159 - 62 = 47 * e
97 = 47 * e
e = 97 / 47
e = <<97/47=2.0638297872340425>>2.0638297872340425

Expected answer: 97/47

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 145 = (50 + (91 * g))
145 - 50 = 91 * g
95 = 91 * g
95/91 = g
g = <<95/91=1.0442176870747663>>1.0442176870747663

Expected answer: 95/91

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 
123 = ((44 * l) + 73)
123 - 73 = 44 * l
50 = 44 * l
l = 50/44
l = <<50/44=1.1363636363636363>>1.1363636363636363
### Answer: 1.1363636363636363

Expected answer: 25/22

Correct? No

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

Qwen2-Math 7B:

 Reasoning: 165 = ((19 * q) + 75)
165 - 75 = 19 * q
90 = 19 * q
q = 90 / 19
q = <<90/19=4.7368421052631575>>4.7368421052631575
### 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 7B:

 Reasoning: 
149 = ((18 * g) + 62)
149 - 62 = 18 * g
87 = 18 * g
g = 87 / 18
g = <<87/18=4.833333333333333>>4.833333333333333
### Answer: 4.833333333333333

Expected answer: 29/6

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: Subtract 21 from both sides of the equation: 84 - 21 = 20 * d
Simplify: 63 = 20 * d
Divide both sides by 20: d = <<63/20=3.15>>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))

Qwen2-Math 7B:

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

Expected answer: 11/6

Correct? Yes

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

Qwen2-Math 7B:

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

Expected answer: 50/21

Correct? Yes

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

Qwen2-Math 7B:

 Reasoning: 74 = ((91 * g) - 24)
74 + 24 = 91 * g
98 = 91 * g
g = 98 / 91
g = <<98/91=1.0769230769230769>>1.0769230769230769
### Answer: 1.0769230769230769

Expected answer: 14/13

Correct? Yes