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Gemma 2B on 8.EE.C.7

Common Core Standard 8.EE.C.7

This standard covers the following:

Solve linear equations in one variable.

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 122 = 92 + 28u
28u = 122 - 92
28u = 30
u = 10.5
### Answer: 10.5

Expected answer: 15/14

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
42 = 35i - 34
35i = 42 + 34
35i = 76
i = 76/35
### Answer: i = 2

Expected answer: 76/35

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
94 = 41 + 6r
6r = 94 - 41
r = 14

Expected answer: 53/6

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
158 = 19i + 94
19i = 158 - 94
19i = 64
i = 3.4

Expected answer: 64/19

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
134 = 30q + 54
30q = 134 - 54
30q = 80
q = 80/30
### Answer: 2.8

Expected answer: 8/3

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 67

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
9 = 23h - 70
23h = 9 + 70
23h = 79
h = 79/23
### Answer: 3.5

Expected answer: 79/23

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

92 = 33t + 26
33t = 92 - 26
33t = 66
t = 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
123 = 15e + 29
15e = 123 - 29
15e = 94
e = 6.2

Expected answer: 94/15

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 16 = 75k - 80
16 + 80 = 75k
75k = 96
k = 1.32
### Answer: 1.32

Expected answer: 32/25

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

131 = 5q + 89
5q = 131 - 89
q = 42/5
### Answer: 42

Expected answer: 42/5

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 147 = 38p + 56
Solving for p: 38p = 147 - 56
p = <<(147 - 56)/38>>
p = 4

Expected answer: 91/38

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
76 = 42j + 23
42j = 76 - 23
42j = 53
j = 53/42
### Answer: 1.25

Expected answer: 53/42

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 43 = 43, and 25 * l = 25 * 3 = <<75>>75.
Therefore, l = 3.
### Answer: 3

Expected answer: 19/5

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 80 = 24w + 35
Subtracting 24w from both sides:
80 - 24w = 35
Adding 24w to both sides:
80 = 35 + 24w
Subtracting 35 from both sides:
55 = 24w
Dividing both sides by 24:
w = 2.3125

Expected answer: 15/8

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 22/7

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
110 = 12 + 88y
88y = 110 - 12
88y = 98
y = 110/88
### Answer: 1.125

Expected answer: 49/44

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 179 = 82 * s + 80
179 - 80 = 82 * s
99 = 82 * s
s = 99/82
### Answer: s = 1.225

Expected answer: 99/82

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 129 = 26m + 66
Subtracting 66 from both sides: 129 - 66 = 26m
Simplifying: 63 = 26m
Dividing both sides by 26: m = <<63/26=2.416>>2.416

Expected answer: 63/26

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

82 = 27q - 17
27q = 82 + 17
27q = 99
q = 99/27
q = 3.5

Expected answer: 11/3

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 7/2

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

175 = 91 + 180v
180v = 175 - 91
180v = 84
v = 4.7

Expected answer: 28/15

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 50 = 63k - 18
Adding 18 to both sides:
63k = 50 + 18
63k = 68
Dividing both sides by 63:
k = 1.11

Expected answer: 68/63

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

65 = 8l - 10
8l = 65 + 10
8l = 75
l = 75/8
### Answer: l = 9.125

Expected answer: 75/8

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
5 = 10u - 34
10u = 5 + 34
10u = 39
u = 3.9
### Answer: u = 3.9

Expected answer: 39/10

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 91 = 9a + 61
Subtracting 61 from both sides: 30 = 9a
Dividing both sides by 9: a = 3.33.

Expected answer: 10/3

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
157 = 53 * i + 61
53 * i = 157 - 61
53 * i = 96
i = 19.2

Expected answer: 96/53

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
71 = 24q + 14
24q = 71 - 14
24q = 57
q = 57/24
### Answer: q = 2.375

Expected answer: 19/8

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
163 = 96 + 14i
14i = 163 - 96
14i = 67
i = 4.625
### Answer: 4.625

Expected answer: 67/14

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

59 = 70e - 23
70e = 59 + 23
70e = 82
e = 82/70
### Answer: e = 1.2

Expected answer: 41/35

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

147 = 36o + 74
36o = 147 - 74
36o = 73
o = 73/36
o = 2.08

Expected answer: 73/36

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 71 = 93 - 13d.
13d = 93 - 71 = <<93-71=22>>22.
d = 22/13 = <<22/13=1.7>>1.7.
### Answer: 1.7

Expected answer: 22/13

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 118 = 64 + 6n.
Subtracting 64 from both sides, we get:
118 - 64 = 64 + 6n - 64.
54 = 6n.
Dividing both sides by 6, we get:
n = 9

Expected answer: 9

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
61 = 5d - 7
5d = 61 + 7
5d = 68
d = 13.6
### Answer: 13.6

Expected answer: 68/5

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
79 = 8z - 18
8z = 79 + 18
8z = 97
z = 12.0125
### Answer: 12.0125

Expected answer: 97/8

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
129 = 2z + 63
2z = 129 - 63
z = (129 - 63)/2
z = 65
### Answer: 65

Expected answer: 33

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
127 = 29 + 32e
32e = 127 - 29
e = (127 - 29) / 32 = 4.125
### Answer: 4.125

Expected answer: 49/16

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
30 = 50x - 35
50x = 30 + 35
50x = 65
x = 6.5
### Answer: 6.5

Expected answer: 13/10

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

66 = 9 + 10x

10x = 66 - 9

10x = 57

x = 5.7

Expected answer: 57/10

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

103 = 38a + 51
38a = 103 - 51
38a = 52
a = 52/38
a = 1.4375

### Answer: 1.4375

Expected answer: 26/19

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 97/28

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

50 * u = 63 - 12
50 * u = 51
u = 1.02

Expected answer: 51/50

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
60 = 42 + 10b
10b = 60 - 42
10b = 18
b = 1.8
### Answer: 1.8

Expected answer: 9/5

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

84 = 25j + 13
25j = 84 - 13
25j = 71
j = 71/25
### Answer: 2.84

Expected answer: 71/25

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
153 = 91 + 5s
5s = 153 - 91
5s = 62
s = 12.4

Expected answer: 62/5

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 65 = 22 + 30g.
Subtracting 22 from both sides: 43 = 30g.
Dividing both sides by 30: g = <<43/30=1.43>>1.43.
### Answer: 1.43

Expected answer: 43/30

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 86/29

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 80 = 19 + 14q
14q = 80 - 19
14q = 61
q = 61/14
### Answer: q = 4.375

Expected answer: 61/14

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

145 = 95 + 184m

184m = 145 - 95

184m = 50

m = 50/184

### Answer: 0.278

Expected answer: 25/23

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
First, we need to isolate the variable 'i' on one side of the equation. 
13 = 13 + 6 * i
6 * i = 13 - 13
6 * i = 0
i = 0
### Answer: 0

Expected answer: 55/6

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
25 = 74h - 61
74h = 25 + 61
74h = 86
h = 86/74
### Answer: 1.2

Expected answer: 43/37

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
51 = 6q - 30
6q = 51 + 30
6q = 81
q = 14.166...
### Answer: 14.166...

Expected answer: 27/2

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

 
Reasoning:

38 = 81 - 36r

36r = 81 - 38

36r = 43

r = 43/36

### Answer: 1.18

Expected answer: 43/36

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
First, we need to solve the equation inside the parentheses: 56 * a = 90 - 23 = <<90-23=67>>67.
Then, we add 23 to both sides: 23 + 56 * a = 67.
Finally, we divide both sides by 56 to solve for a: a = <<67 รท 56=1.16>>1.16.

Expected answer: 67/56

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 81 = 13 + 30h.
Subtracting 13 from both sides: 81 - 13 = 13 - 13 + 30h.
Simplifying: 68 = 30h.
Dividing both sides by 30: h = <<68/30=2.28>>2.28.
### Answer: 2.28

Expected answer: 34/15

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

160 = 62m + 69
62m - 160 = 69
m = 2.78

Expected answer: 91/62

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
100 = 69 + 56 * q
56 * q = 100 - 69
56 * q = 31
q = 31/56
### Answer: 0.56

Expected answer: 31/28

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

192 = 98w + 94
98w = 192 - 94
98w = 98
w = 1

Expected answer: 1

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 40 = 93 - 33 * y
=> 33 * y = 93 - 40
=> 33 * y = 53
=> y = 53/33
### Answer: 1.6

Expected answer: 53/33

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
74 = 48u - 20
48u = 74 + 20
48u = 94
u = 94/48
u = 2.0625
### Answer: 2.0625

Expected answer: 47/24

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 89/86

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
122 = 36 + 56c
56c = 122 - 36
56c = 86
c = 1.55

Expected answer: 43/28

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
Starting with the equation, we have 99 = 81 * q.
Dividing both sides by 81, we get q = 1.2.
### Answer: 1.2

Expected answer: 29/27

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

120 = 42u + 77
42u = 120 - 77
42u = 43
u = 10.25

### Answer: 10.25

Expected answer: 43/42

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
103 = 52 + 6j
6j = 103 - 52
j = (103 - 52) / 6
j = 17

Expected answer: 17/2

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 13/2

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
77 = 14 + 60m
60m = 77 - 14
60m = 63
m = 1.05
### Answer: 1.05

Expected answer: 21/20

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 31 = 17 + e
e = 31 - 17
e = 14
### Answer: 14

Expected answer: 14

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 2 = 81 - 15x
15x = 81 - 2
15x = 79
x = 5.6

Expected answer: 79/15

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 177 = 88 + 6e.
Subtracting 88 from both sides, we get:
177 - 88 = 88 + 6e - 88.
179 = 6e.
Dividing both sides by 6, we get:
e = 29.5.

Expected answer: 89/6

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 95 = 3*r + 15
3*r = 95 - 15
3*r = 80
r = 80/3
r = 27.33
### Answer: 27.33

Expected answer: 80/3

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
154 = 70 + 31v
31v = 154 - 70
31v = 84
v = 84/31
### Answer: v = 2

Expected answer: 84/31

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
179 = 70r + 87
70r = 179 - 87
70r = 92
r = 13.2

Expected answer: 46/35

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 93 = 19r + 2
Subtracting 2 from both sides, we get:

19r = 91
Dividing both sides by 19, we find:

r = 5

Expected answer: 91/19

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
20 = 67 - 37z
37z = 67 - 20
37z = 47
z = 47/37 = 1.29

Expected answer: 47/37

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
79 = 6g + 19
6g = 79 - 19
g = (79 - 19) / 6
g = 50/6
g = 8.33
### Answer: 8.33

Expected answer: 10

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
30 = 56l - 45
56l = 30 + 45
56l = 75
l = 75/56
### Answer: l = 1.28

Expected answer: 75/56

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 57 = 11j + 4
Subtracting 4 from both sides, we get:
11j = 57 - 4
11j = 53
Dividing both sides by 11, we find:
j = 5

Expected answer: 53/11

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

36 = 34f - 56
34f - 36 = 56
34f = 56 + 36
34f = 92
f = 92/34
f = 2

Expected answer: 46/17

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

56 = 70u - 43
70u - 56 = 43
70u = 43 + 56
70u = 99
u = 13.5

Expected answer: 99/70

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 
First, we need to isolate the variable x on one side of the equation.
67 = 21 + 9*x
9*x = 67 - 21
9*x = 46
x = 5

Expected answer: 46/9

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
75 = 58 + 16i
16i = 75 - 58
i = (75 - 58) / 16
i = 2.8125
### Answer: 2.8125

Expected answer: 17/16

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 111 = 54 + 39x
39x = 111 - 54
39x = 57
x = 57/39
### Answer: 1.43

Expected answer: 19/13

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

155 = 52o + 68
52o = 155 - 68
52o = 87
o = 1.75

Expected answer: 87/26

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

7 = 12p - 17
12p = 7 + 17
12p = 24
p = 24/12
### Answer: p = 2

Expected answer: 2

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 163 = 93 + 55b.
Solving for 'b', we get:
55b = 163 - 93 = <<163-93=70>>70.
Therefore, b = <<70/55=1.28>>1.28.

Expected answer: 14/11

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 62 = u - 26
Adding 26 to both sides:
u = 62 + 26
u = <<88>>88
### Answer: 88

Expected answer: 88

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:

179 = 63a + 93
63a = 179 - 93
63a = 86
a = 86/63
### Answer: 1.44

Expected answer: 86/63

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
51 = 27c - 11
27c = 51 + 11
27c = 62
c = 62/27
c = 2

Expected answer: 62/27

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 19 = 28d - 18
18 = 28d
d = 18/28 = <<0.625>>0.625

Expected answer: 37/28

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
159 = 47e + 62
47e = 159 - 62
47e = 97
e = 2

Expected answer: 97/47

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
145 = 50 + 91g
91g = 145 - 50
g = (145 - 50) / 91 = 1.5
### Answer: 1.5

Expected answer: 95/91

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
123 = 44l + 73
44l = 123 - 73
44l = 50
l = 50/44
### Answer: l = 1.25

Expected answer: 25/22

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning: 165 = 19q + 75
19q = 165 - 75
19q = 90
q = 5
### Answer: 5

Expected answer: 90/19

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
149 = 18g + 62
18g = 149 - 62
18g = 87
g = 5

Expected answer: 29/6

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

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

Expected answer: 63/20

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

61 = 50 + 6g
61 - 50 = 6g
11 = 6g
g = 11/6

Expected answer: 11/6

Correct? Yes

๐Ÿ”— Problem

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

Gemma 2B:

  
Reasoning:
  
(21 * v) + 76 = 126
  
21 * v = 126 - 76
  
21 * v = 50
  
v = 50 รท 21
  
v = 2.59

### Answer: 2.59

Expected answer: 50/21

Correct? No

๐Ÿ”— Problem

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

Gemma 2B:

Reasoning:
74 = 91g - 24
91g = 74 + 24
91g = 98
g = 10.2

Expected answer: 14/13

Correct? No