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InternLM-Math Base 20B 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

InternLM-Math Base 20B:

 Reasoning: 122 = 92 + 28 * u
122 = 92 + 28 * u
122 - 92 = 28 * u
30 = 28 * u
30/28 = u
5/4 = u
### Answer: 5/4

Expected answer: 15/14

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 42 = ((35 * i) - 34) is equivalent to 42 = 35i - 34.
42 + 34 = 35i - 34 + 34 is equivalent to 76 = 35i.
76/35 = 35i/35 is equivalent to 2 = i.
### Answer: 2

Expected answer: 76/35

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 94 = 41 + 6 * r
94 - 41 = 6 * r
53 = 6 * r
53/6 = r
8 5/6 = r
### Answer: 8 5/6

Expected answer: 53/6

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 158 = ((19 * i) + 94) => 158 - 94 = 19 * i => 64 = 19 * i => 64/19 = i => 3 1/19 = i
### Answer: 3 1/19

Expected answer: 64/19

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 134 = ((30 * q) + 54) => 134 - 54 = ((30 * q) + 54) - 54 => 80 = 30 * q => 80/30 = 30 * q / 30 => 8/3 = q
### Answer: 8/3

Expected answer: 8/3

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 94 = (27 + y) 94 - 27 = (27 + y) - 27 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)

InternLM-Math Base 20B:

 Reasoning: 9 = ((23 * h) - 70) 9 + 70 = ((23 * h) - 70) + 70 79 = 23 * h 79/23 = 23 * h / 23 3.43 = h
### Answer: 3.43

Expected answer: 79/23

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 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).

InternLM-Math Base 20B:

 Reasoning: 123 = ((15 * e) + 29) => 123 - 29 = 15 * e => 94 = 15 * e => 94/15 = e => 6.26666666666667 = e.
### Answer: 6.26666666666667

Expected answer: 94/15

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 32/25

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 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

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

InternLM-Math Base 20B:

 Reasoning: 147 = ((38 * p) + 56)
147 - 56 = ((38 * p) + 56) - 56
91 = 38 * p
91/38 = 38 * p / 38
2.3947 = p
### Answer: 2.3947

Expected answer: 91/38

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 76 = 42 * j + 23
76 - 23 = 42 * j + 23 - 23
53 = 42 * j
53/42 = 42 * j / 42
1.27 = j
### Answer: 1.27

Expected answer: 53/42

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 138 = 43 + 25 * l
Subtract 43 from both sides: 138 - 43 = 43 + 25 * l - 43
Simplify: 95 = 25 * l
Divide both sides by 25: 95/25 = 25 * l / 25
Simplify: 3.8 = l
### Answer: 3.8

Expected answer: 19/5

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

InternLM-Math Base 20B:

 Reasoning: 77 = (33 + (14 * x)) 77 = 33 + 14x 77 - 33 = 14x 44 = 14x 44/14 = x 3 = x
### Answer: 3

Expected answer: 22/7

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 110 = 12 + 88 * y
110 - 12 = 12 - 12 + 88 * y
98 = 0 + 88 * y
98/88 = 0/88 + y
1.1 = 0 + y
1.1 = y
### Answer: 1.1

Expected answer: 49/44

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 179 = 82 * s + 80
179 - 80 = 82 * s + 80 - 80
99 = 82 * s
99/82 = 82 * s / 82
1.21951219512195 = s
### Answer: 1.21951219512195

Expected answer: 99/82

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 63/26

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

82 + 17 = ((27 * q) - 17) + 17 

99 = 27 * q 

99/27 = 27 * q / 27 

99/27 = q 

99/27 = <<99/27=3.67>>3.67 

### Answer: 3.67

Expected answer: 11/3

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 7/2

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 175 = 91 + 45 * v
175 - 91 = 45 * v
84 = 45 * v
84/45 = v
<<84/45=1.8>>1.8 = v
### Answer: 1.8

Expected answer: 28/15

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

50 + 18 = ((63 * k) - 18) + 18 

68 = 63 * k 

68/63 = 63 * k / 63 

68/63 = k 

k = 68/63 

### Answer: 68/63

Expected answer: 68/63

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 

65 = ((8 * l) - 10) 

65 + 10 = ((8 * l) - 10) + 10 

75 = 8 * l 

75/8 = 8 * l / 8 

9.375 = l 

### Answer: 9.375

Expected answer: 75/8

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 5 = ((10 * u) - 34) => 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

InternLM-Math Base 20B:

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

Expected answer: 10/3

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 157 = 53 * i + 61
157 - 61 = 53 * i + 61 - 61
96 = 53 * i
96/53 = 53 * i / 53
1.82051282051282 = i
### Answer: 1.82051282051282

Expected answer: 96/53

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 71 = 24q + 14
71 - 14 = 24q + 14 - 14
71 - 14 = 24q
57 = 24q
57/24 = 24q/24
23/8 = q
### Answer: 23/8

Expected answer: 19/8

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 67/14

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 

59 = (70 * e) - 23
59 + 23 = (70 * e) - 23 + 23
82 = 70 * e
82/70 = 70 * e / 70
1.16 = e
### Answer: 1.16

Expected answer: 41/35

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 147 = 36 * o + 74

147 - 74 = 36 * o + 74 - 74

147 - 74 = 36 * o

73 = 36 * o

o = 73/36

o = <<73/36=2.0277>>2.0277

### Answer: 2.0277

Expected answer: 73/36

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 71 = 93 - (13 * d) => 71 = 93 - 13d => 71 = 93 - 13d => 71 - 93 = -13d => -22 = -13d => 22 = 13d => 22/13 = d => 22/13 = d => 1 9/13 = d => 1 9/13 = d => 1.6923076923076923076923076923077 = d => 1.6923076923076923076923076923077 = d
### Answer: 1.6923076923076923076923076923077

Expected answer: 22/13

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 118 = 64 + 6 * n
118 - 64 = 64 - 64 + 6 * n
54 = 0 + 6 * n
54/6 = 6 * n / 6
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)

InternLM-Math Base 20B:

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

InternLM-Math Base 20B:

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

Expected answer: 97/8

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 129 = ((2 * z) + 63) => 129 - 63 = ((2 * z) + 63) - 63 => 129 - 63 = (2 * z) => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 2 * z => 129 - 63 = 

Expected answer: 33

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

InternLM-Math Base 20B:

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

Expected answer: 13/10

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 66 = 9 + 10 * x

66 = 9 + 10 * x

66 - 9 = 9 - 9 + 10 * x

57 = 0 + 10 * x

57 = 10 * x

57/10 = 10 * x / 10

5.7 = x

x = 5.7

### 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)

InternLM-Math Base 20B:

 Reasoning: 103 = ((38 * a) + 51) => 103 - 51 = ((38 * a) + 51) - 51 => 52 = 38 * a => 52/38 = 38 * a / 38 => 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

InternLM-Math Base 20B:

 Reasoning: 105 = 28 * f + 8
105 - 8 = 28 * f
97 = 28 * f
97/28 = f
3.5 = f
### Answer: 3.5

Expected answer: 97/28

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 12 = 63 - 50 * u

63 - 12 = 50 * u

51 = 50 * u

51/50 = u

1.02 = u

### Answer: 1.02

Expected answer: 51/50

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 60 = 42 + (10 * b) => 60 - 42 = 10 * b => 18 = 10 * b => 18/10 = b => 9/5 = b
### Answer: 9/5

Expected answer: 9/5

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 84 = (25 * j) + 13
84 - 13 = (25 * j) + 13 - 13
84 - 13 = 25 * j
84 - 13 = 25 * j
71 = 25 * j
71/25 = 25 * j / 25
71/25 = j
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

InternLM-Math Base 20B:

 Reasoning: 153 = 91 + 5 * s
153 - 91 = 5 * s
62 = 5 * s
62/5 = s
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))

InternLM-Math Base 20B:

 Reasoning: 65 = (22 + (30 * g)) 65 = 22 + 30g 65 - 22 = 30g 43 = 30g 43/30 = g 1.4333333333333333 = g
### Answer: 1.4333333333333333

Expected answer: 43/30

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 96 = (29 * f) + 10
96 - 10 = (29 * f) + 10 - 10
86 = 29 * f
86/29 = 29 * f / 29
2.97 = f
### Answer: 2.97

Expected answer: 86/29

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 80 = (19 + (14 * q)) 80 = 19 + 14q 80 - 19 = 14q 61 = 14q 61/14 = q 4 3/14 = q
### Answer: 4 3/14

Expected answer: 61/14

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 145 = 95 + 46 * m

145 - 95 = 46 * m

50 = 46 * m

50/46 = m

10.869565217391304347826086956522 = m

### Answer: 10.869565217391304347826086956522

Expected answer: 25/23

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 68 = 13 + 6 * i
68 - 13 = 13 - 13 + 6 * i
55 = 6 * i
55/6 = 6 * i / 6
9 1/6 = i
### Answer: 9 1/6

Expected answer: 55/6

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 25 = ((74 * h) - 61) 25 + 61 = ((74 * h) - 61) + 61 86 = 74 * h 86/74 = 74 * h / 74 1.1627 = h
### Answer: 1.1627

Expected answer: 43/37

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 51 = ((6 * q) - 30) is equivalent to 51 + 30 = 6 * q.
81 = 6 * q is equivalent to 81/6 = q.
### Answer: 81/6

Expected answer: 27/2

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 43/36

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 90 = (23 + (56 * a)) is equivalent to 90 = 23 + 56a.
90 = 23 + 56a is equivalent to 90 - 23 = 56a.
90 - 23 = 56a is equivalent to 67 = 56a.
67 = 56a is equivalent to a = 67/56.
a = 67/56 is equivalent to a = <<67/56=1.2>>1.2.
### 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

InternLM-Math Base 20B:

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

InternLM-Math Base 20B:

 Reasoning: 160 = 62m + 69
160 - 69 = 62m + 69 - 69
91 = 62m
91/62 = 62m/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

InternLM-Math Base 20B:

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

Expected answer: 31/28

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 192 = ((98 * w) + 94) => 192 = (98 * w) + 94 => 192 - 94 = (98 * w) + 94 - 94 => 98 = 98 * w => 98/98 = w => 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

InternLM-Math Base 20B:

 Reasoning: 40 = 93 - 33 * y
40 = 93 - 33 * y
40 = 60 - 33 * y
40 - 60 = -33 * y
-20 = -33 * y
-20/-33 = -33 * y/-33
0.606060606060606 = y
### Answer: 0.606060606060606

Expected answer: 53/33

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 74 = ((48 * u) - 20) is equivalent to 74 + 20 = 48 * u.
94 = 48 * u is equivalent to 94/48 = u.
1.958333 = u.
### Answer: 1.958333

Expected answer: 47/24

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 13 = ((86 * f) - 76) 13 + 76 = ((86 * f) - 76) + 76 89 = 86 * f 89/86 = 86 * f / 86 1.03 = f
### Answer: 1.03

Expected answer: 89/86

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 122 = (36 + (56 * c)) 122 = 36 + 56c 86 = 56c 86/56 = c 1.5 = c
### Answer: 1.5

Expected answer: 43/28

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 186 = 99 + 81 * q
186 - 99 = 99 - 99 + 81 * q
87 = 0 + 81 * q
87/81 = 81/81 * q
1.07407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407

Expected answer: 29/27

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 120 = 42u + 77
120 - 77 = 42u + 77 - 77
42u = 120 - 77
42u = 43
u = 43/42
u = <<43/42=1.0238>>1.0238
### Answer: 1.0238

Expected answer: 43/42

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 103 = (52 + (6 * j)) 103 = 25 + (6 * j) 78 = (6 * j) 78/6 = j 13 = j
### Answer: 13

Expected answer: 17/2

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 13/2

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 77 = 14 + 60 * m
77 - 14 = 14 - 14 + 60 * m
63 = 0 + 60 * m
63/60 = 60/60 * m
63/60 = 1 * m
63/60 = m
### Answer: 63/60

Expected answer: 21/20

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 31 - 17 = <<31-17=14>>14

e = 14
### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 2 = 81 - (15 * x) 

81 - 15x = 2 

81 - 2 = 15x 

79 = 15x 

79/15 = x 

5 1/15 = x 

### Answer: 5 1/15

Expected answer: 79/15

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 177 = 88 + 6 * e
177 - 88 = 6 * e
89 = 6 * e
89/6 = e
14 5/6 = e
### Answer: 14 5/6

Expected answer: 89/6

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 80/3

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 154 = (70 + (31 * v)) 154 = 70 + 31v 154 - 70 = 70 - 70 + 31v 84 = 31v 84/31 = 31v/31 2.74 = v
### Answer: 2.74

Expected answer: 84/31

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 179 = ((70 * r) + 87) is equivalent to 179 = 70r + 87.
Subtracting 87 from both sides of the equation gives 92 = 70r.
Dividing both sides of the equation by 70 gives 92/70 = r.
### Answer: 92/70

Expected answer: 46/35

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

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

91 = 19 * r 

91/19 = 19 * r / 19 

91/19 = r 

r = 91/19 

r = <<91/19=4.789473684210526>>4.789473684210526

Expected answer: 91/19

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 20 = (67 - (37 * z)) 20 = 67 - 37z 20 - 67 = -37z -47 = -37z 47 = 37z 47/37 = z 1.297 = z
### Answer: 1.297

Expected answer: 47/37

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 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)

InternLM-Math Base 20B:

 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

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

InternLM-Math Base 20B:

 Reasoning: 30 = ((56 * l) - 45) is equivalent to 30 + 45 = 56 * l.
75 = 56 * l is equivalent to 75/56 = l.
### Answer: 75/56

Expected answer: 75/56

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 53/11

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 36 = 34 * f - 56
36 + 56 = 34 * f
92 = 34 * f
92/34 = f
2.7 = f
### Answer: 2.7

Expected answer: 46/17

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 56 = (70 * u) - 43
56 + 43 = (70 * u) - 43 + 43
99 = 70 * u
99/70 = 70 * u / 70
<<99/70=1.4142857142857142>>1.4142857142857142 = u
### Answer: 1.4142857142857142

Expected answer: 99/70

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 46/9

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 75 = (58 + 16 * i)
75 = 58 + 16 * i
75 - 58 = 16 * i
17 = 16 * i
17/16 = i
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))

InternLM-Math Base 20B:

 Reasoning: 111 = (54 + (39 * x)) 111 = 54 + 39x 111 - 54 = 39x 57 = 39x 57/39 = x 1.4615 = x
### Answer: 1.4615

Expected answer: 19/13

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

155 = (26 * o) + 68 

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

87 = 26 * o 

87/26 = 26 * o / 26 

3 9/13 = o 

### Answer: 3 9/13

Expected answer: 87/26

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 7 = ((12 * p) - 17) is equivalent to 7 = (12 * p) - 17. Adding 17 to both sides of the equation gives 7 + 17 = (12 * p) - 17 + 17. Simplifying gives 24 = 12 * p. Dividing both sides of the equation by 12 gives 24/12 = 12 * p/12. Simplifying gives 2 = p. Therefore, the solution to the equation is p = 2.
### 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?

InternLM-Math Base 20B:

 Reasoning: 163 = 93 + 55 * b
163 - 93 = 55 * b
70 = 55 * b
70/55 = b
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)

InternLM-Math Base 20B:

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

Expected answer: 88

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

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

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

86 = 63 * a 

86/63 = 63 * a / 63 

1.3698630137 = a 

### Answer: 1.3698630137

Expected answer: 86/63

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 51 = ((27 * c) - 11)
51 + 11 = ((27 * c) - 11) + 11
62 = 27 * c
62/27 = 27 * c / 27
62/27 = c
2.26 = c
### Answer: 2.26

Expected answer: 62/27

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 19 = ((28 * d) - 18) 19 + 18 = ((28 * d) - 18) + 18 37 = 28 * d 37/28 = 28 * d / 28 37/28 = d 1.32142857142857142857142857142857 = d ### Answer: 1.32142857142857142857142857142857

Expected answer: 37/28

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 159 = (47 * e) + 62
159 - 62 = (47 * e) + 62 - 62
159 - 62 = 47 * e
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))

InternLM-Math Base 20B:

 Reasoning: 145 = (50 + (91 * g)) 145 = 50 + 91g 145 - 50 = 50 - 50 + 91g 95 = 91g 95/91 = 91g/91 1.04395604395604 = g
### Answer: 1.04395604395604

Expected answer: 95/91

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 123 = ((44 * l) + 73) => 123 - 73 = ((44 * l) + 73) - 73 => 50 = 44 * l => 50/44 = 44 * l / 44 => 1.1364 = l
### Answer: 1.1364

Expected answer: 25/22

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 165 = ((19 * q) + 75) => 165 = (19 * q) + 75 => 165 - 75 = (19 * q) + 75 - 75 => 90 = (19 * q) => 90/19 = q => 4.7368 = q => q = 4.7368
### Answer: 4.7368

Expected answer: 90/19

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 149 = ((18 * g) + 62) is equivalent to 149 - 62 = 18 * g. Subtracting 62 from both sides of the equation gives 87 = 18 * g. Dividing both sides of the equation by 18 gives 87/18 = g. Simplifying 87/18 gives 4 7/18 = g. Therefore, g = 4 7/18.
### Answer: 4 7/18

Expected answer: 29/6

Correct? No

🔗 Problem

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

InternLM-Math Base 20B:

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

Expected answer: 63/20

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 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)

InternLM-Math Base 20B:

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

Expected answer: 50/21

Correct? Yes

🔗 Problem

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

InternLM-Math Base 20B:

 Reasoning: 74 = (91 * g) - 24
74 + 24 = (91 * g) - 24 + 24
98 = 91 * g
98/91 = 91 * g / 91
1.07 = g
### Answer: 1.07

Expected answer: 14/13

Correct? No