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LLemma 34B on 8.EE.C.7

Common Core Standard 8.EE.C.7

This standard covers the following:

Solve linear equations in one variable.

🔗 Problem

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

LLemma 34B:

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

Expected answer: 15/14

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 42 = ((35 * i) - 34)
42 = (35 * i) - 34
42 + 34 = (35 * i)
76 = (35 * i)
76/35 = i
i = <<76/35=2.1428571428571428>>2.1428571428571428
### Answer: 2.1428571428571428

Expected answer: 76/35

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 53/6

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 158 = ((19 * i) + 94)
158 = (19 * i) + 94
158 - 94 = (19 * i) + 94 - 94
64 = (19 * i)
64/19 = (19 * i)/19
3.36842105263158 = i
### Answer: 3.36842105263158

Expected answer: 64/19

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 8/3

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 67

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:
9 = ((23 * h) - 70)
9 + 70 = ((23 * h) - 70) + 70
79 = (23 * h)
79/23 = (23 * h)/23
3 = h
### Answer: 3

Expected answer: 79/23

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 92 = 33 * t + 26

92 - 26 = 33 * t + 26 - 26

66 = 33 * t

66/33 = 33 * t/33

2 = t

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 123 = ((15 * e) + 29)
123 - 29 = ((15 * e) + 29) - 29
94 = (15 * e)
94/15 = (15 * e)/15
6 = e
### Answer: 6

Expected answer: 94/15

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 32/25

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 131 = ((5 * q) + 89)

131 = (5 * q) + 89

131 - 89 = (5 * q) + 89 - 89

42 = (5 * q)

42/5 = (5 * q)/5

8 = q

### Answer: 8

Expected answer: 42/5

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 147 = ((38 * p) + 56)
147 = (38 * p) + 56
147 - 56 = (38 * p)
91 = (38 * p)
91/38 = p
<<91/38=2.397260274>>2.397260274 = p
### Answer: 2.397260274

Expected answer: 91/38

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 76 = 42 * j + 23
76 - 23 = 42 * j + 23 - 23
53 = 42 * j
53/42 = 42 * j/42
<<53/42=1.2619047619047619>>1.2619047619047619 = 42 * j/42
<<53/42=1.2619047619047619>>1.2619047619047619 = j
### Answer: 1.2619047619047619

Expected answer: 53/42

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 43 + 25 * l

138 = 

Expected answer: 19/5

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 15/8

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 77 = (33 + (14 * x))
77 = 33 + 14x
77 - 33 = 14x
44 = 14x
44/14 = x
4 = x
### Answer: 4

Expected answer: 22/7

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 49/44

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 179 = 82 * s + 80
179 - 80 = 82 * s + 80 - 80
99 = 82 * s
99/82 = 82 * s/82
<<99/82=1.2045454545454546>>1.2045454545454546 = s
### Answer: 1.2045454545454546

Expected answer: 99/82

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 129 = 26 * m + 66
129 - 66 = 26 * m + 66 - 66
63 = 26 * m
63/26 = 26 * m/26
2.8 = m
### Answer: 2.8

Expected answer: 63/26

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 82 = ((27 * q) - 17)

82 = (27 * q) - 17

82 + 17 = (27 * q)

100 = (27 * q)

100/27 = (27 * q)/27

100/27 = q

q = 100/27

### Answer: 100/27

Expected answer: 11/3

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
141 = (64 + (22 * k))
141 - 64 = (64 + (22 * k)) - 64
77 = (22 * k)
77/22 = (22 * k)/22
3 = k
### Answer: 3

Expected answer: 7/2

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
175 = 91 + 45 * v
1

Expected answer: 28/15

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 50 = ((63 * k) - 18)

50 = (63 * k) - 18

50 + 18 = (63 * k)

68 = (63 * k)

68/63 = k

k = <<68/63=1.07521875>>1.07521875

### Answer: 1.07521875

Expected answer: 68/63

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 65 = ((8 * l) - 10)

65 = (8 * l) - 10

65 + 10 = (8 * l)

75 = (8 * l)

75/8 = (8 * l)/8

9 = l

### Answer: 9

Expected answer: 75/8

Correct? No

🔗 Problem

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

LLemma 34B:

 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

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

LLemma 34B:

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

Expected answer: 10/3

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:
157 = 53 * i + 61
157 - 61 = 53 * i + 61 - 61
96 = 53 * i
96/53 = 53 * i/53
1.8 = i
### Answer: 1.8

Expected answer: 96/53

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 71 = ((24 * q) + 14)
71 - 14 = ((24 * q) + 14) - 14
57 = (24 * q)
57/24 = (24 * q)/24
2.4166666666666665 = q
### Answer: 2.4166666666666665

Expected answer: 19/8

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
163 = 96 + 14 * i
163 - 96 = 14 * i
67 = 14 * i
67/14 = i
i = <<67/14=4.857142857142857>>4.857142857142857
### Answer: 4.857142857142857

Expected answer: 67/14

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 59 = (70 * e) - 23

59 + 23 = (70 * e) - 23 + 23

82 = (70 * e)

82/70 = (70 * e)/70

<<82/70=1.1714285714285714>>1.1714285714285714 = e

### Answer: 1.1714285714285714

Expected answer: 41/35

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 147 = 36 * o + 74
147 - 74 = 36 * o + 74 - 74
<<147-74=36*o+74-74>>73 = 36 * o
73 / 36 = <<73/36=2>>2
### Answer: 2

Expected answer: 73/36

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 71 = 93 - (13 * d)
71 = 93 - 13d
71 = 80 - 13d
13d = 80 - 71
13d = 9
d = 9/13
d = <<9/13=0.6923076923076923>>0.6923076923076923
### Answer: 0.6923076923076923

Expected answer: 22/13

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 9

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 68/5

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 79 = ((8 * z) - 18)
79 = (8 * z) - 18
79 + 18 = (8 * z)
97 = (8 * z)
97/8 = (8 * z)/8
12 = z
### Answer: 12

Expected answer: 97/8

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 33

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 127 = (29 + (32 * e))
127 = 29 + (32 * e)
127 - 29 = 29 + (32 * e) - 29
98 = (32 * e)
98/32 = (32 * e)/32
3 = e
### Answer: 3

Expected answer: 49/16

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 13/10

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 66 = 9 + 10 * x

66 = 9 + 10 * x

66 - 9 = 10 * x

57 = 10 * x

57/10 = x

5.7 = x

### Answer: 5.7

Expected answer: 57/10

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 103 = ((38 * a) + 51)

103 = (38 * a) + 51

103 - 51 = (38 * a) + 51 - 51

52 = (38 * a)

52/38 = (38 * a)/38

<<52/38=1.368421052631579>>1.368421052631579 = a

### Answer: 1.368421052631579

Expected answer: 26/19

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 105 = 28 * f + 8
105 - 8 = 28 * f
97 = 28 * f
97/28 = f
<<97/28=3.464285714285714>>3.464285714285714 = f
### Answer: 3.464285714285714

Expected answer: 97/28

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

12 = 63 - 50 * u

1

Expected answer: 51/50

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 9/5

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:

84 = ((25 * j) + 13)

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

71 = (25 * j)

71/25 = (25 * j)/25

2.84 = j

### Answer: 2.84

Expected answer: 71/25

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 62/5

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 65 = (22 + (30 * g))
65 = 22 + 30g
43 = 30g
43/30 = <<43/30=1.4333333333333334>>1.4333333333333334 = g
### Answer: 1.4333333333333334

Expected answer: 43/30

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 86/29

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 61/14

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 145 = 95 + 46 * m

145 - 95 = 46 * m

50 = 46 * m

50/46 = m

<<50/46=1.0869565217391304>>1.0869565217391304 = m

### Answer: 1.0869565217391304

Expected answer: 25/23

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 68 = 13 + 6 * i
68 - 13 = 13 + 6 * i - 13
55 = 6 * i
55/6 = 6 * i/6
<<55/6=9>>9 = i
### Answer: 9

Expected answer: 55/6

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
25 = ((74 * h) - 61)
25 + 61 = ((74 * h) - 61) + 61
86 = (74 * h)
86/74 = (74 * h)/74
1.17 = h
### Answer: 1.17

Expected answer: 43/37

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 27/2

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

38 = 81 - 36 * r

3

Expected answer: 43/36

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 67/56

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 34/15

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:

160 = ((62 * m) + 69)

160 = (62 * m) + 69

160 - 69 = (62 * m) + 69 - 69

91 = (62 * m)

91/62 = (62 * m)/62

1.46 = m

### Answer: 1.46

Expected answer: 91/62

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 100 = 69 + 28 * q
100 = 69 + 28 * q
100 - 69 = 69 + 28 * q - 69
31 = 28 * q
31/28 = 28 * q/28
<<31/28=1.142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857

Expected answer: 31/28

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:

192 = ((98 * w) + 94)

192 = (98 * w) + 94

192 - 94 = (98 * w) + 94 - 94

98 = (98 * w)

98/98 = (98 * w)/98

1 = w

### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 93 -

Expected answer: 53/33

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 74 = ((48 * u) - 20)
74 = (48 * u) - 20
74 + 20 = (48 * u)
94 = (48 * u)
94/48 = u
2 = u
### Answer: 2

Expected answer: 47/24

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
13 = ((86 * f) - 76)
13 + 76 = ((86 * f) - 76) + 76
99 = (86 * f)
99/86 = (86 * f)/86
<<99/86=1.15909090909091>>1.15909090909091 = f
### Answer: 1.15909090909091

Expected answer: 89/86

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 122 = (36 + (56 * c))
122 = 36 + 56c
122 - 36 = 56c
86 = 56c
86/56 = c
17/8 = c
### Answer: 17/8

Expected answer: 43/28

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 186 = 99 + 81 * q
186 - 99 = 81 * q
87 = 81 * q
87/81 = q
<<87/81=1.0752>>1.0752 = q
### Answer: 1.0752

Expected answer: 29/27

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 120 = ((42 * u) + 77)

120 = (42 * u) + 77

120 - 77 = (42 * u) + 77 - 77

43 = (42 * u)

43/42 = (42 * u)/42

u = 43/42

u = <<43/42=1.0476190476190476>>1.0476190476190476
### Answer: 1.0476190476190476

Expected answer: 43/42

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 17/2

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 - (4 * n))
56 = (82 -

Expected answer: 13/2

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
77 = 14 + 60 * m
77 - 14 = 14 + 60 * m - 14
63 = 60 * m
63/60 = 60 * m/60
<<63/60=1.05>>1.05 = m
### Answer: 1.05

Expected answer: 21/20

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: Subtract 17 from both sides of the equation.

31 - 17 = 17 + e - 17

14 = e

### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 2 = 81 - (15 * x)

2 = 81 - 15x

2 = 66 - 15x

15x = 66 - 2

15x = 64

x = 64/15

x = <<64/15=4.2666666666666665>>4.2666666666666665
### Answer: 4.2666666666666665

Expected answer: 79/15

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 89/6

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 95 = 3*r + 15
95 - 15 = 3*r + 15 - 15
80 = 3*r
80/3 = 3*r/3
26.666666666666668 = r
### Answer: 26.666666666666668

Expected answer: 80/3

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:
154 = (70 + (31 * v))
154 = 70 + 31v
154 - 70 = 31v
84 = 31v
84/31 = v
v = <<84/31=2.71>>2.71
### Answer: 2.71

Expected answer: 84/31

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 46/35

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 93 = ((19 * r) + 2)

93 = (19 * r) + 2

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

91 = (19 * r)

91/19 = (19 * r)/19

5 = r

### Answer: 5

Expected answer: 91/19

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 47/37

Correct? Yes

🔗 Problem

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

LLemma 34B:

 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

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

LLemma 34B:

 Reasoning:
79 = ((6 * g) + 19)
79 - 19 = ((6 * g) + 19) - 19
60 = (6 * g)
60/6 = (6 * g)/6
10 = g
### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:
30 = ((56 * l) - 45)
30 + 45 = ((56 * l) - 45) + 45
75 = (56 * l)
75/56 = (56 * l)/56
<<75/56=1.3333333333333333>>1.3333333333333333 = l
### Answer: 1.3333333333333333

Expected answer: 75/56

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 57 = ((11 * j) + 4)
57 - 4 = ((11 * j) + 4) - 4
53 = (11 * j)
53/11 = (11 * j)/11
<<53/11=5>>5 = j
### Answer: 5

Expected answer: 53/11

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 36 = 34 * f - 56
36 + 56 = 34 * f - 56 + 56
92 = 34 * f
92/34 = 34 * f/34
<<92/34=2.7027027027027027>>2.7027027027027027 = f
### Answer: 2.7027027027027027

Expected answer: 46/17

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 56 = (70 * u) - 43
56 + 43 = (70 * u) - 43 + 43
100 = (70 * u)
100/70 = (70 * u)/70
100/70 = u
### Answer: 100/70

Expected answer: 99/70

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 67 = 21 + 9*x
67 - 21 = 21 + 9*x - 21
46 = 9*x
46/9 = 9*x/9
<<46/9=5>>5 = x
### Answer: 5

Expected answer: 46/9

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 75 = (58 + 16 * i)
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

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

LLemma 34B:

 Reasoning: 111 = (54 + (39 * x))
111 = 54 + 39x
111 - 54 = 54 + 39x - 54
57 = 39x
57/39 = 39x/39
<<57/39=1.4634146341463414>>1.4634146341463414 = x
### Answer: 1.4634146341463414

Expected answer: 19/13

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 155 = ((26 * o) + 68)

155 = (26 * o) + 68

155 - 68 = (26 * o) + 68 - 68

87 = (26 * o)

87/26 = (26 * o)/26

3 = o

### Answer: 3

Expected answer: 87/26

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 7 = ((12 * p) - 17)

7 = (12 * p) - 17

7 + 17 = (12 * p)

24 = (12 * p)

24/12 = p

2 = p

### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 14/11

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 88

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 179 = ((63 * a) + 93)

179 = (63 * a) + 93

179 - 93 = (63 * a) + 93 - 93

86 = (63 * a)

86/63 = (63 * a)/63

<<86/63=1.3698630136986302>>1.3698630136986302 = a

### Answer: 1.3698630136986302

Expected answer: 86/63

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
51 = ((27 * c) - 11)
51 + 11 = ((27 * c) - 11) + 11
62 = (27 * c)
62/27 = (27 * c)/27
2 = c
### Answer: 2

Expected answer: 62/27

Correct? No

🔗 Problem

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

LLemma 34B:

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

Expected answer: 37/28

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 159 = ((47 * e) + 62)
159 - 62 = ((47 * e) + 62) - 62
97 = (47 * e)
97/47 = (47 * e)/47
2 = e
### Answer: 2

Expected answer: 97/47

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning:
145 = (50 + (91 * g))
145 - 50 = (50 + (91 * g)) - 50
95 = (91 * g)
95/91 = (91 * g)/91
1.049 = g
### Answer: 1.049

Expected answer: 95/91

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 123 = ((44 * l) + 73)
123 - 73 = ((44 * l) + 73) - 73
50 = (44 * l)
50/44 = (44 * l)/44
1.1363636363636364 = l
### Answer: 1.1363636363636364

Expected answer: 25/22

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 165 = ((19 * q) + 75)
165 = (19 * q) + 75
165 - 75 = (19 * q)
90 = (19 * q)
90/19 = q
q = <<90/19=4.7368421052631576>>4.7368421052631576
### Answer: 4.7368421052631576

Expected answer: 90/19

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 29/6

Correct? Yes

🔗 Problem

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

LLemma 34B:

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

Expected answer: 63/20

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning: 61 = (50 + (6 * g))

61 = 50 + 6g

61 - 50 = 6g

11 = 6g

11/6 = g

### Answer: 11/6

Expected answer: 11/6

Correct? Yes

🔗 Problem

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

LLemma 34B:

 Reasoning:
  
126 = ((21 * v) + 76)

126 - 76 = ((21 * v) + 76) - 76

50 = (21 * v)

50/21 = (21 * v)/21

2.38 = v

### Answer: 2.38

Expected answer: 50/21

Correct? No

🔗 Problem

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

LLemma 34B:

 Reasoning: 74 = ((91 * g) - 24)
74 + 24 = ((91 * g) - 24) + 24
98 = (91 * g)
98/91 = (91 * g)/91
<<98/91=1.0869565217391304>>1.0869565217391304 = g
### Answer: 1.0869565217391304

Expected answer: 14/13

Correct? No