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

DeepSeek 67B:

Reasoning:

To solve the equation 122 = 92 + 28 * u for the variable u, we need to isolate u on one side of the equation.

Step 1: Subtract 92 from both sides of the equation.

122 - 92 = 92 + 28 * u - 92

30 = 28 * u

Step 2: Divide both sides of the equation by 28.

30 / 28 = 28 * u / 28

30 / 28 = u

Step 3: Simplify the fraction.

30 / 28 = 15 / 14

u = 15 / 14

So, the value of u is 15/14.

Expected answer: 15/14

Correct? Yes

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

DeepSeek 67B:

To solve the equation for i, follow these steps:

Step 1: Isolate the term with the variable i.
42 = ((35 * i) - 34)

Step 2: Add 34 to both sides of the equation to eliminate the constant term on the right side.
42 + 34 = ((35 * i) - 34) + 34

Step 3: Simplify both sides of the equation.
76 = 35 * i

Step 4: Divide both sides of the equation by 35 to solve for i.
76 / 35 = 35 * i / 35

Step 5: Simplify the equation to find the value of i.
i = 2.1714285714285716

So, i ≈ 2.17.

Expected answer: 76/35

Correct? No

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

DeepSeek 67B:

To solve the equation 94 = 41 + 6 * r for r, follow these steps:

Step 1: Subtract 41 from both sides of the equation.
94 - 41 = 41 + 6 * r - 41

Step 2: Simplify both sides of the equation.
53 = 6 * r

Step 3: Divide both sides of the equation by 6.
53 / 6 = 6 * r / 6

Step 4: Simplify both sides of the equation.
9.166666666666666 = r

So, the value of r is approximately 9.166666666666666.

Expected answer: 53/6

Correct? No

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

DeepSeek 67B:

To determine the value of "i" from the equation, we need to isolate "i" on one side of the equation.

Step 1: Subtract 94 from both sides of the equation.
158 - 94 = ((19 * i) + 94) - 94

Step 2: Simplify both sides of the equation.
64 = 19 * i

Step 3: Divide both sides of the equation by 19 to isolate "i".
64 / 19 = (19 * i) / 19

Step 4: Simplify both sides of the equation.
i = 3.36842105263158

Therefore, the value of "i" is approximately 3.36842105263158.

Expected answer: 64/19

Correct? No

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

DeepSeek 67B:

To solve the equation for 'q', we will follow these steps:

1. Subtract 54 from both sides of the equation.
2. Divide both sides of the equation by 30.

Step 1:
134 - 54 = ((30 * q) + 54) - 54
70 = 30 * q

Step 2:
70 / 30 = (30 * q) / 30
2 = q

So, the value of 'q' is 2.

Expected answer: 8/3

Correct? No

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

DeepSeek 67B:

To solve the linear equation 94 = (27 + y) for y, follow these steps:

Step 1: Subtract 27 from both sides of the equation.
94 - 27 = (27 + y) - 27

Step 2: Simplify both sides of the equation.
67 = y

So, the value of y is 67.

Expected answer: 67

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of h, follow these steps:

Step 1: Isolate the term with the variable h.
To do this, add 70 to both sides of the equation:
9 + 70 = (23 * h) - 70 + 70

Step 2: Simplify both sides of the equation.
79 = 23 * h

Step 3: Solve for h by dividing both sides of the equation by 23.
79 / 23 = (23 * h) / 23

Step 4: Simplify the equation to find the value of h.
3.4348 = h

The value of h is approximately 3.4348.

Expected answer: 79/23

Correct? No

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

DeepSeek 67B:

To solve the equation 92 = 33 * t + 26 for t, follow these steps:

Step 1: Subtract 26 from both sides of the equation.
92 - 26 = 33 * t + 26 - 26

Step 2: Simplify both sides of the equation.
66 = 33 * t

Step 3: Divide both sides of the equation by 33.
66 / 33 = 33 * t / 33

Step 4: Simplify both sides of the equation.
2 = t

The value of t is 2.

Expected answer: 2

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation 123 = (15 * e) + 29 for the value of e, follow these steps:

Step 1: Subtract 29 from both sides of the equation.
123 - 29 = (15 * e) + 29 - 29

Step 2: Simplify both sides of the equation.
94 = 15 * e

Step 3: Divide both sides of the equation by 15.
94 / 15 = (15 * e) / 15

Step 4: Simplify both sides of the equation.
e = 6.266666666666667

The value of e is approximately 6.27 (rounded to two decimal places).

Expected answer: 94/15

Correct? No

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

DeepSeek 67B:

To solve the equation 16 = ((75 * k) - 80) for the value of 'k', follow these steps:

Step 1: Isolate the term with the variable 'k' by adding 80 to both sides of the equation.
16 + 80 = ((75 * k) - 80) + 80

Step 2: Simplify both sides of the equation.
96 = 75 * k

Step 3: Divide both sides of the equation by 75 to solve for 'k'.
96 / 75 = 75 * k / 75

Step 4: Simplify the equation to find the value of 'k'.
k = 96 / 75

### Answer: k = 96/75

Expected answer: 32/25

Correct? Yes

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

DeepSeek 67B:

To solve for q in the equation 131 = ((5 * q) + 89), follow these steps:

Step 1: Subtract 89 from both sides of the equation.
131 - 89 = ((5 * q) + 89) - 89

Step 2: Simplify both sides of the equation.
42 = 5 * q

Step 3: Divide both sides of the equation by 5.
42 / 5 = (5 * q) / 5

Step 4: Simplify both sides of the equation.
8.4 = q

So, q = 8.4.

Expected answer: 42/5

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To find the value of p, we need to isolate p on one side of the equation.

Step 1: Subtract 56 from both sides of the equation.
147 - 56 = ((38 * p) + 56) - 56

Step 2: Simplify both sides of the equation.
91 = 38 * p

Step 3: Divide both sides of the equation by 38.
91 / 38 = 38 * p / 38

Step 4: Simplify both sides of the equation.
p = 2.394736842105263

The value of p that satisfies the equation is approximately 2.394736842105263.

Expected answer: 91/38

Correct? No

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

DeepSeek 67B:

To solve the equation 76 = 42 * j + 23 for the value of 'j', follow these steps:

Step 1: Subtract 23 from both sides of the equation.
76 - 23 = 42 * j + 23 - 23

Step 2: Simplify both sides of the equation.
53 = 42 * j

Step 3: Divide both sides of the equation by 42.
53 / 42 = 42 * j / 42

Step 4: Simplify both sides of the equation.
j = 53 / 42

Step 5: Simplify the fraction.
j = 265 / 42

So, the value of 'j' is 265/42.

Expected answer: 53/42

Correct? Yes

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

DeepSeek 67B:

To solve the equation 138 = 43 + 25 * l for the value of 'l', follow these steps:

Step 1: Subtract 43 from both sides of the equation.
138 - 43 = 43 + 25 * l - 43

Step 2: Simplify the equation.
95 = 25 * l

Step 3: Divide both sides of the equation by 25.
95 / 25 = 25 * l / 25

Step 4: Simplify the equation to find the value of 'l'.
3.8 = l

So, the value of 'l' is 3.8.

Expected answer: 19/5

Correct? Yes

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

DeepSeek 67B:

To solve the equation 80 = ((24 * w) + 35) for the unknown variable w, follow these steps:

Step 1: Subtract 35 from both sides of the equation.
80 - 35 = (24 * w) + 35 - 35

Step 2: Simplify both sides of the equation.
45 = 24 * w

Step 3: Divide both sides of the equation by 24.
45 / 24 = 24 * w / 24

Step 4: Simplify both sides of the equation.
1.875 = w

The value of w is 1.875.

Expected answer: 15/8

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation 77 = (33 + (14 * x)), we will follow these steps:

Step 1: Distribute the 14 to the x term.
77 = 33 + 14x

Step 2: Subtract 33 from both sides of the equation.
77 - 33 = 33 + 14x - 33

Step 3: Simplify both sides of the equation.
44 = 14x

Step 4: Divide both sides of the equation by 14.
44 / 14 = 14x / 14

Step 5: Simplify both sides of the equation.
3 = x

The value of x is 3.

Expected answer: 22/7

Correct? No

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

DeepSeek 67B:

To solve the linear equation 110 = 12 + 88 * y for y, follow these steps:

Step 1: Subtract 12 from both sides of the equation.
110 - 12 = 12 + 88 * y - 12

Step 2: Simplify both sides of the equation.
98 = 88 * y

Step 3: Divide both sides of the equation by 88.
98 / 88 = 88 * y / 88

Step 4: Simplify both sides of the equation.
y = 1.111111111111111

So, the value of y is approximately 1.111111111111111.

Expected answer: 49/44

Correct? No

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

DeepSeek 67B:

Reasoning:

To solve the linear equation for the variable 's', we need to isolate 's' on one side of the equation.

The given equation is:

179 = 82 * s + 80

First, we need to subtract 80 from both sides of the equation to eliminate the constant term on the right side:

179 - 80 = 82 * s + 80 - 80

99 = 82 * s

Now, we need to isolate 's' by dividing both sides of the equation by 82:

99 / 82 = 82 * s / 82

1.2 = s

So, the value of 's' is 1.2.

### Answer: 1.2

Expected answer: 99/82

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation for m, we need to isolate m on one side of the equation.

Step 1: Subtract 66 from both sides of the equation.
129 - 66 = 26 * m + 66 - 66

Step 2: Simplify both sides of the equation.
63 = 26 * m

Step 3: Divide both sides of the equation by 26.
63 / 26 = 26 * m / 26

Step 4: Simplify both sides of the equation.
2.423076923076923 = m

So, m = 2.423076923076923.

Expected answer: 63/26

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for q, follow these steps:

Step 1: Isolate the term with the variable q.

82 = ((27 * q) - 17)

Step 2: Add 17 to both sides of the equation to eliminate the constant term on the right side.

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

Step 3: Simplify both sides of the equation.

99 = 27 * q

Step 4: Divide both sides of the equation by 27 to solve for q.

99 / 27 = 27 * q / 27

Step 5: Simplify the equation to find the value of q.

3.6666666666666665 = q

So, q ≈ 3.67 (rounded to two decimal places).

Expected answer: 11/3

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the variable k, follow these steps:

Step 1: Isolate the term with the variable k.
Subtract 64 from both sides of the equation:
141 - 64 = (22 * k)

Step 2: Simplify the equation.
77 = 22 * k

Step 3: Solve for k by dividing both sides of the equation by 22.
77 / 22 = k

Step 4: Simplify the result.
k = 3.5

The solution for the linear equation is k = 3.5.

Expected answer: 7/2

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation 175 = 91 + 45 * v, we need to isolate the variable 'v' on one side of the equation.

Step 1: Subtract 91 from both sides of the equation.
175 - 91 = 91 + 45 * v - 91

Step 2: Simplify the equation.
84 = 45 * v

Step 3: Divide both sides of the equation by 45.
84 / 45 = 45 * v / 45

Step 4: Simplify the equation to find the value of 'v'.
v = 84 / 45

Step 5: Simplify the fraction.
v = 168 / 90

Step 6: Simplify the fraction further.
v = 84 / 45

So, the value of 'v' is 84/45.

Expected answer: 28/15

Correct? Yes

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

DeepSeek 67B:

To solve the equation for the value of k, follow these steps:

Step 1: Isolate the term with the variable k.
To do this, subtract 18 from both sides of the equation:

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

Step 2: Simplify both sides of the equation.
On the left side, subtract 18 from 50:

32 = (63 * k) - 18

Step 3: Isolate the term with the variable k.
To do this, add 18 to both sides of the equation:

32 + 18 = (63 * k) - 18 + 18

Step 4: Simplify both sides of the equation.
On the left side, add 32 and 18:

50 = 63 * k

Step 5: Solve for k.
To do this, divide both sides of the equation by 63:

50 / 63 = (63 * k) / 63

Step 6: Simplify both sides of the equation.
On the left side, divide 50 by 63:

k ≈ 0.793651

So, the value of k is approximately 0.793651.

Expected answer: 68/63

Correct? No

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

DeepSeek 67B:

To solve the equation for l, follow these steps:

Step 1: Isolate the term with the variable (l) by adding 10 to both sides of the equation.
65 + 10 = ((8 * l) - 10) + 10

Step 2: Simplify both sides of the equation.
75 = 8 * l

Step 3: Divide both sides of the equation by 8 to solve for l.
75 / 8 = (8 * l) / 8

Step 4: Simplify the equation to find the value of l.
l = 9.375

So, l = 9.375.

Expected answer: 75/8

Correct? Yes

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

DeepSeek 67B:

To solve the equation 5 = ((10 * u) - 34), we need to isolate the variable u.

Step 1: Add 34 to both sides of the equation.
5 + 34 = (10 * u) - 34 + 34

Step 2: Simplify both sides of the equation.
39 = 10 * u

Step 3: Divide both sides of the equation by 10.
39 / 10 = (10 * u) / 10

Step 4: Simplify both sides of the equation.
3.9 = u

So, the solution to the equation is u = 3.9.

Expected answer: 39/10

Correct? Yes

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

DeepSeek 67B:

Reasoning:

We are given the equation 91 = 9 * a + 61.

To solve for 'a', we need to isolate 'a' on one side of the equation.

Step 1: Subtract 61 from both sides of the equation.

91 - 61 = 9 * a + 61 - 61

30 = 9 * a

Step 2: Divide both sides of the equation by 9.

30 / 9 = 9 * a / 9

30 / 9 = a

So, a = 30 / 9.

### Answer: a = 30 / 9

Expected answer: 10/3

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the variable i, we need to isolate i on one side of the equation. Here's the step-by-step process:

1. Subtract 61 from both sides of the equation:
   157 - 61 = 53 * i + 61 - 61

2. Simplify both sides of the equation:
   96 = 53 * i

3. Divide both sides of the equation by 53:
   96 / 53 = 53 * i / 53

4. Simplify both sides of the equation:
   i = 1.8264

So, the value of i is approximately 1.8264.

Expected answer: 96/53

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of q, we will follow these steps:

1. Isolate the term with the variable q.
2. Simplify the equation.
3. Solve for q.

Step 1: Isolate the term with the variable q.

71 = ((24 * q) + 14)

Step 2: Simplify the equation.

71 = 24q + 14

Step 3: Solve for q.

To solve for q, we will subtract 14 from both sides of the equation:

71 - 14 = 24q + 14 - 14

57 = 24q

Now, we will divide both sides of the equation by 24 to isolate q:

57 / 24 = 24q / 24

q = 2.375

The value of q is 2.375.

Expected answer: 19/8

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of i, we will follow these steps:

1. Isolate the term with the variable i on one side of the equation.
2. Simplify the equation.
3. Solve for i.

Step 1: Isolate the term with the variable i
163 - 96 = 14 * i

Step 2: Simplify the equation
67 = 14 * i

Step 3: Solve for i
To solve for i, we will divide both sides of the equation by 14:

67 / 14 = (14 * i) / 14

5 = i

The value of i is 5.

Expected answer: 67/14

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of e, follow these steps:

1. Isolate the term with the variable e on one side of the equation.
2. Simplify the equation.

Step 1: Isolate the term with the variable e
59 = (70 * e) - 23

Add 23 to both sides of the equation to isolate the term with the variable e:
59 + 23 = (70 * e) - 23 + 23

Step 2: Simplify the equation
82 = 70 * e

Now, to find the value of e, divide both sides of the equation by 70:
82 / 70 = (70 * e) / 70

Simplify the equation:
1.17 = e

The value of e is approximately 1.17.

Expected answer: 41/35

Correct? No

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

DeepSeek 67B:

To solve the linear equation for o, follow these steps:

Step 1: Subtract 74 from both sides of the equation.
147 - 74 = 36 * o + 74 - 74

Step 2: Simplify both sides of the equation.
73 = 36 * o

Step 3: Divide both sides of the equation by 36.
73 / 36 = 36 * o / 36

Step 4: Simplify both sides of the equation.
o = 73 / 36

So, o = 73/36.

Expected answer: 73/36

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To solve the equation 71 = 93 - (13 * d), we need to isolate the variable d.

Step 1: Add 13 * d to both sides of the equation to move the term with the variable to the left side.
71 + 13 * d = 93

Step 2: Subtract 71 from both sides of the equation to isolate the term with the variable.
13 * d = 93 - 71

Step 3: Simplify the right side of the equation.
13 * d = 22

Step 4: Divide both sides of the equation by 13 to solve for d.
d = 22 / 13

### Answer: d = 22/13

Expected answer: 22/13

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To solve the equation 118 = 64 + 6 * n, we need to isolate the variable n.

Step 1: Subtract 64 from both sides of the equation.
118 - 64 = 64 - 64 + 6 * n
54 = 6 * n

Step 2: Divide both sides of the equation by 6.
54 / 6 = 6 * n / 6
9 = n

The value of n is 9.
### Answer: 9

Expected answer: 9

Correct? Yes

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

DeepSeek 67B:

To solve the equation 61 = ((5 * d) - 7) for 'd', follow these steps:

Step 1: Isolate the term with the variable 'd' by adding 7 to both sides of the equation.
61 + 7 = ((5 * d) - 7) + 7

Step 2: Simplify both sides of the equation.
68 = 5 * d

Step 3: Divide both sides of the equation by 5 to solve for 'd'.
68 / 5 = (5 * d) / 5

Step 4: Simplify both sides of the equation.
13.6 = d

The value of 'd' is 13.6.

Expected answer: 68/5

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of z, follow these steps:

Step 1: Isolate the term with the variable z.
To do this, add 18 to both sides of the equation:
79 + 18 = ((8 * z) - 18) + 18

Step 2: Simplify both sides of the equation.
97 = 8 * z

Step 3: Solve for z by dividing both sides of the equation by 8.
97 / 8 = (8 * z) / 8

Step 4: Simplify the equation to find the value of z.
12.125 = z

The value of z is 12.125.

Expected answer: 97/8

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of z, follow these steps:

Step 1: Isolate the term with the variable z.
Subtract 63 from both sides of the equation:
129 - 63 = ((2 * z) + 63) - 63

Step 2: Simplify both sides of the equation.
66 = 2 * z

Step 3: Solve for z by dividing both sides of the equation by 2.
66 / 2 = (2 * z) / 2

Step 4: Simplify the equation to find the value of z.
33 = z

The value of z is 33.

Expected answer: 33

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for e, follow these steps:

Step 1: Isolate the term with the variable e.
127 = (29 + (32 * e))

Step 2: Subtract 29 from both sides of the equation.
127 - 29 = 29 - 29 + (32 * e)

Step 3: Simplify both sides of the equation.
98 = 32 * e

Step 4: Divide both sides of the equation by 32 to solve for e.
98 / 32 = 32 * e / 32

Step 5: Simplify the equation to find the value of e.
3 = e

The solution to the linear equation is e = 3.

Expected answer: 49/16

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of x, we will follow these steps:

1. Isolate the term with the variable x.
2. Simplify the equation.
3. Solve for x.

Step 1: Isolate the term with the variable x.

30 = ((50 * x) - 35)

Step 2: Simplify the equation.

30 = 50x - 35

Step 3: Solve for x.

To solve for x, we will isolate x by adding 35 to both sides of the equation and then dividing both sides by 50.

30 + 35 = 50x - 35 + 35

65 = 50x

Now, divide both sides by 50:

65 / 50 = 50x / 50

1.3 = x

The value of x is 1.3.

Expected answer: 13/10

Correct? Yes

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

DeepSeek 67B:

To solve the equation 66 = 9 + 10 * x for x, follow these steps:

Step 1: Subtract 9 from both sides of the equation.
66 - 9 = 9 + 10 * x - 9

Step 2: Simplify both sides of the equation.
57 = 10 * x

Step 3: Divide both sides of the equation by 10.
57 / 10 = (10 * x) / 10

Step 4: Simplify both sides of the equation.
5.7 = x

So, x = 5.7.

Expected answer: 57/10

Correct? Yes

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

DeepSeek 67B:

To solve the algebraic equation for the unknown variable a, we need to isolate a on one side of the equation. Here's a step-by-step solution:

1. Start with the given equation:

103 = ((38 * a) + 51)

2. Subtract 51 from both sides of the equation to isolate the term with the variable a:

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

52 = 38 * a

3. Now, to solve for a, divide both sides of the equation by 38:

52 / 38 = (38 * a) / 38

1.37 = a

So, the value of the unknown variable a is approximately 1.37.

Expected answer: 26/19

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve for f, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides of the equation.

105 - 8 = 28 * f + 8 - 8
97 = 28 * f

Now, we can solve for f by dividing both sides of the equation by 28.

97 / 28 = 28 * f / 28
3.5 = f

The value of f is 3.5.
### Answer: 3.5

Expected answer: 97/28

Correct? No

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

DeepSeek 67B:

To solve the linear equation for u, follow these steps:

Step 1: Isolate the term with the variable u.
To do this, add 50 * u to both sides of the equation:

12 + 50 * u = 63 - 50 * u + 50 * u

Step 2: Simplify both sides of the equation.

12 + 50 * u = 63

Step 3: Subtract 12 from both sides of the equation to isolate the term with the variable u.

50 * u = 63 - 12

Step 4: Simplify both sides of the equation.

50 * u = 51

Step 5: Divide both sides of the equation by 50 to solve for u.

u = 51 / 50

Step 6: Simplify the fraction.

u = 1.02

So, the solution for the linear equation is u = 1.02.

Expected answer: 51/50

Correct? Yes

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

DeepSeek 67B:

Reasoning:
To solve the equation for 'b', we need to isolate 'b' on one side of the equation.

Step 1: Subtract 42 from both sides of the equation.
60 - 42 = 42 + (10 * b) - 42

Step 2: Simplify both sides of the equation.
18 = 10 * b

Step 3: Divide both sides of the equation by 10.
18 / 10 = (10 * b) / 10

Step 4: Simplify both sides of the equation.
1.8 = b

The value of 'b' is 1.8.

Expected answer: 9/5

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the variable 'j', we will follow these steps:

1. Isolate the term with the variable 'j' on one side of the equation.
2. Simplify the equation.
3. Solve for 'j'.

Step 1: Isolate the term with the variable 'j' on one side of the equation.

84 = ((25 * j) + 13)

Subtract 13 from both sides of the equation:

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

71 = 25 * j

Step 2: Simplify the equation.

The equation is already simplified.

Step 3: Solve for 'j'.

To solve for 'j', divide both sides of the equation by 25:

71 / 25 = (25 * j) / 25

j = 2.84

So, the value of 'j' is 2.84.

Expected answer: 71/25

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for s, follow these steps:

Step 1: Subtract 91 from both sides of the equation.
153 - 91 = 91 + 5 * s - 91

Step 2: Simplify the equation.
62 = 5 * s

Step 3: Divide both sides of the equation by 5.
62 / 5 = 5 * s / 5

Step 4: Simplify the equation to find the value of s.
s = 12.4

So, the value of s is 12.4.

Expected answer: 62/5

Correct? Yes

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

DeepSeek 67B:

To solve for g in the equation 65 = (22 + (30 * g)), follow these steps:

Step 1: Subtract 22 from both sides of the equation.
65 - 22 = 22 + (30 * g) - 22

Step 2: Simplify both sides of the equation.
43 = 30 * g

Step 3: Divide both sides of the equation by 30.
43 / 30 = (30 * g) / 30

Step 4: Simplify both sides of the equation.
1.4333333333333333 = g

So, g ≈ 1.4333333333333333

Expected answer: 43/30

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of f, we will follow these steps:

1. Isolate the term with the variable f on one side of the equation.
2. Simplify the equation.
3. Solve for f.

Step 1: Isolate the term with the variable f on one side of the equation.
96 = ((29 * f) + 10)

Step 2: Subtract 10 from both sides of the equation to isolate the term with the variable f.
96 - 10 = ((29 * f) + 10) - 10
86 = 29 * f

Step 3: Divide both sides of the equation by 29 to solve for f.
86 / 29 = (29 * f) / 29
3 = f

The value of f is 3.

Expected answer: 86/29

Correct? No

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

DeepSeek 67B:

To solve the equation 80 = (19 + (14 * q)) for the variable q, follow these steps:

Step 1: Isolate the term with the variable q.
To do this, subtract 19 from both sides of the equation:
80 - 19 = 19 + (14 * q) - 19

Step 2: Simplify both sides of the equation.
61 = 14 * q

Step 3: Solve for q by dividing both sides of the equation by 14.
61 / 14 = (14 * q) / 14

Step 4: Simplify the equation to find the value of q.
q = 61 / 14

Step 5: Calculate the value of q.
q = 4.357142857142857

So, the value of q is approximately 4.36.

Expected answer: 61/14

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the variable 'm', we will follow these steps:

1. Isolate the term with the variable 'm' on one side of the equation.
2. Divide both sides of the equation by the coefficient of 'm' to find the value of 'm'.

Step 1: Isolate the term with the variable 'm' on one side of the equation.

145 = 95 + 46 * m

Subtract 95 from both sides of the equation:

145 - 95 = 95 - 95 + 46 * m

50 = 46 * m

Step 2: Divide both sides of the equation by the coefficient of 'm' to find the value of 'm'.

50 = 46 * m

Divide both sides of the equation by 46:

50 / 46 = (46 * m) / 46

1.087 = m

So, the value of 'm' is approximately 1.087.

Expected answer: 25/23

Correct? No

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

DeepSeek 67B:

To solve the equation 68 = 13 + 6 * i for the value of 'i', follow these steps:

Step 1: Subtract 13 from both sides of the equation.
68 - 13 = 13 - 13 + 6 * i

Step 2: Simplify the equation.
55 = 6 * i

Step 3: Divide both sides of the equation by 6.
55 / 6 = 6 * i / 6

Step 4: Simplify the equation to find the value of 'i'.
i = 55 / 6

So, the value of 'i' is 55/6.

Expected answer: 55/6

Correct? Yes

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

DeepSeek 67B:

To solve the equation for h, follow these steps:

Step 1: Isolate the term with the variable h.
To do this, add 61 to both sides of the equation:

25 + 61 = (74 * h) - 61 + 61

Step 2: Simplify both sides of the equation.
86 = 74 * h

Step 3: Solve for h by dividing both sides of the equation by 74.
86 / 74 = (74 * h) / 74

Step 4: Simplify the equation to find the value of h.
1.16567659 = h

So, h ≈ 1.16567659.

Expected answer: 43/37

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of q, we will follow these steps:

1. Isolate the term with the variable q.
2. Simplify the equation.
3. Solve for q.

Step 1: Isolate the term with the variable q.

The given equation is: 51 = ((6 * q) - 30)

Step 2: Simplify the equation.

To simplify the equation, we will distribute the negative sign to the term -30:

51 = 6q - 30

Step 3: Solve for q.

To solve for q, we will first add 30 to both sides of the equation:

51 + 30 = 6q - 30 + 30

81 = 6q

Now, we will divide both sides of the equation by 6:

81 / 6 = 6q / 6

13.5 = q

So, the value of q is 13.5.

Expected answer: 27/2

Correct? Yes

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

DeepSeek 67B:

To find the value of r, we need to isolate r on one side of the equation.

First, let's move the constant term to the other side of the equation:

38 + 36 * r = 81

Now, let's divide both sides of the equation by 36:

(38 + 36 * r) / 36 = 81 / 36

This simplifies to:

38/36 + r = 81/36

Now, let's subtract 38/36 from both sides of the equation:

r = (81/36) - (38/36)

This simplifies to:

r = 43/36

So, the value of r is 43/36.

Expected answer: 43/36

Correct? Yes

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

DeepSeek 67B:

To solve the equation 90 = (23 + (56 * a)), we need to isolate the variable a.

Step 1: Subtract 23 from both sides of the equation.
90 - 23 = 23 + (56 * a) - 23

Step 2: Simplify both sides of the equation.
67 = 56 * a

Step 3: Divide both sides of the equation by 56.
67 / 56 = 56 * a / 56

Step 4: Simplify both sides of the equation.
a = 67 / 56

So, a = 1.1964285714285714.

Expected answer: 67/56

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the unknown variable h, we need to isolate h on one side of the equation.

The given equation is:

81 = 13 + 30 * h

First, we subtract 13 from both sides of the equation:

81 - 13 = 13 - 13 + 30 * h

68 = 30 * h

Now, we divide both sides of the equation by 30:

68 / 30 = 30 * h / 30

2.2666666666666665 = h

So, the value of h is approximately 2.27.

Expected answer: 34/15

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of m, follow these steps:

Step 1: Subtract 69 from both sides of the equation.
160 - 69 = (62 * m) + 69 - 69

Step 2: Simplify both sides of the equation.
91 = 62 * m

Step 3: Divide both sides of the equation by 62.
91 / 62 = 62 * m / 62

Step 4: Simplify both sides of the equation.
1.462 = m

The value of m is approximately 1.462.

Expected answer: 91/62

Correct? No

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

DeepSeek 67B:

To solve the equation 100 = 69 + 28 * q for q, follow these steps:

Step 1: Subtract 69 from both sides of the equation.
100 - 69 = 69 - 69 + 28 * q

Step 2: Simplify both sides of the equation.
31 = 28 * q

Step 3: Divide both sides of the equation by 28.
31 / 28 = 28 * q / 28

Step 4: Simplify both sides of the equation.
q = 1.1071428571428571

So, the value of q is approximately 1.1071428571428571.

Expected answer: 31/28

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for w, follow these steps:

1. Subtract 94 from both sides of the equation:
   192 - 94 = (98 * w) + 94 - 94

2. Simplify both sides of the equation:
   98 = 98 * w

3. Divide both sides of the equation by 98:
   98 / 98 = (98 * w) / 98

4. Simplify both sides of the equation:
   1 = w

So, the value of w is 1.

Expected answer: 1

Correct? Yes

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

DeepSeek 67B:

To solve the equation 40 = 93 - 33 * y for y, follow these steps:

Step 1: Isolate the term with the variable y.
To do this, subtract 93 from both sides of the equation:
40 - 93 = 93 - 33 * y - 93

Step 2: Simplify both sides of the equation.
-53 = -33 * y

Step 3: Solve for y by dividing both sides of the equation by -33.
-53 / -33 = (-33 * y) / -33

Step 4: Simplify the equation to find the value of y.
y = 1.61 (rounded to two decimal places)

So, the value of y is approximately 1.61.

Expected answer: 53/33

Correct? No

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

DeepSeek 67B:

To solve for the unknown variable u in the linear equation 74 = ((48 * u) - 20), follow these steps:

Step 1: Isolate the term with the unknown variable (u) by adding 20 to both sides of the equation.
74 + 20 = ((48 * u) - 20) + 20

Step 2: Simplify both sides of the equation.
94 = 48 * u

Step 3: Divide both sides of the equation by 48 to solve for u.
94 / 48 = 48 * u / 48

Step 4: Simplify the equation to find the value of u.
u = 2

The value of the unknown variable u is 2.

Expected answer: 47/24

Correct? No

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

DeepSeek 67B:

To solve the equation for the variable f, follow these steps:

Step 1: Isolate the term with the variable f.
To do this, add 76 to both sides of the equation:

13 + 76 = ((86 * f) - 76) + 76

Step 2: Simplify both sides of the equation.
99 = 86 * f

Step 3: Solve for the variable f.
To do this, divide both sides of the equation by 86:

99 / 86 = (86 * f) / 86

Step 4: Simplify the equation.
1.15 = f

The solution for the variable f is 1.15.

Expected answer: 89/86

Correct? No

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

DeepSeek 67B:

To solve the equation for c, follow these steps:

Step 1: Isolate the term with the variable c.
122 = (36 + (56 * c))

Step 2: Subtract 36 from both sides of the equation.
122 - 36 = 36 - 36 + (56 * c)

Step 3: Simplify both sides of the equation.
86 = 56 * c

Step 4: Divide both sides of the equation by 56 to solve for c.
86 / 56 = 56 * c / 56

Step 5: Simplify the equation to find the value of c.
c = 86 / 56

Step 6: Simplify the fraction if possible.
c = 1.5357142857142858

So, c ≈ 1.54

Expected answer: 43/28

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the unknown quantity q, we need to isolate q on one side of the equation. Here's the step-by-step process:

1. Start with the given equation:
   186 = 99 + 81 * q

2. Subtract 99 from both sides of the equation to isolate the term with q:
   186 - 99 = 99 - 99 + 81 * q

3. Simplify both sides of the equation:
   87 = 81 * q

4. Divide both sides of the equation by 81 to solve for q:
   87 / 81 = 81 * q / 81

5. Simplify both sides of the equation:
   q = 87 / 81

6. Simplify the fraction:
   q = 1.074

So, the value of q is approximately 1.074.

Expected answer: 29/27

Correct? No

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

DeepSeek 67B:

To find the value of 'u', we need to isolate 'u' on one side of the equation.

Step 1: Subtract 77 from both sides of the equation.
120 - 77 = ((42 * u) + 77) - 77

Step 2: Simplify both sides of the equation.
43 = 42 * u

Step 3: Divide both sides of the equation by 42.
43 / 42 = (42 * u) / 42

Step 4: Simplify both sides of the equation.
1.0238 = u

The value of 'u' is approximately 1.0238.

Expected answer: 43/42

Correct? No

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

DeepSeek 67B:

To solve the equation 103 = (52 + (6 * j)) for j, follow these steps:

Step 1: Subtract 52 from both sides of the equation.
103 - 52 = 52 + (6 * j) - 52

Step 2: Simplify both sides of the equation.
51 = 6 * j

Step 3: Divide both sides of the equation by 6.
51 / 6 = (6 * j) / 6

Step 4: Simplify both sides of the equation.
9 = j

So, the value of j is 9.

Expected answer: 17/2

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of n, follow these steps:

Step 1: Simplify the equation
56 = (82 - (4 * n))

Step 2: Distribute the 4 to the n
56 = 82 - 4n

Step 3: Subtract 82 from both sides of the equation
56 - 82 = -4n

Step 4: Simplify the left side of the equation
-26 = -4n

Step 5: Divide both sides of the equation by -4
-26 / -4 = n

Step 6: Simplify the right side of the equation
n = 6.5

The value of n is 6.5.

Expected answer: 13/2

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for m, we will follow these steps:

1. Isolate the term with the variable m on one side of the equation.
2. Divide both sides of the equation by the coefficient of m.

Step 1: Isolate the term with the variable m on one side of the equation.
77 = 14 + 60 * m

Subtract 14 from both sides of the equation:
77 - 14 = 14 - 14 + 60 * m
63 = 60 * m

Step 2: Divide both sides of the equation by the coefficient of m (60).
63 = 60 * m
63 / 60 = 60 * m / 60
1.05 = m

So, the value of m is 1.05.

Expected answer: 21/20

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the variable 'e', we need to isolate 'e' on one side of the equation.

Given equation: 31 = 17 + e

Step 1: Subtract 17 from both sides of the equation to isolate 'e':

31 - 17 = 17 + e - 17

14 = e

So, the value of 'e' is 14.

Expected answer: 14

Correct? Yes

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

DeepSeek 67B:

To solve the equation 2 = 81 - (15 * x), we will follow these steps:

Step 1: Isolate the term with the variable (15 * x)
To do this, we will subtract 81 from both sides of the equation:

2 - 81 = 81 - 81 - (15 * x)

Step 2: Simplify the equation
-79 = -15 * x

Step 3: Solve for x
To find the value of x, we will divide both sides of the equation by -15:

-79 / -15 = (-15 * x) / -15

Step 4: Simplify the equation
5.266666666666667 = x

So, the value of x that solves the equation is approximately 5.27 (rounded to two decimal places).

Expected answer: 79/15

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation for the value of e, we need to isolate e on one side of the equation.

Step 1: Subtract 88 from both sides of the equation.
177 - 88 = 88 + 6 * e - 88

Step 2: Simplify both sides of the equation.
89 = 6 * e

Step 3: Divide both sides of the equation by 6.
89 / 6 = 6 * e / 6

Step 4: Simplify both sides of the equation.
14.833333333333332 = e

The value of e is approximately 14.83.

Expected answer: 89/6

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation 95 = 3*r + 15 for 'r', we need to isolate 'r' on one side of the equation.

Step 1: Subtract 15 from both sides of the equation.
95 - 15 = 3*r + 15 - 15

Step 2: Simplify both sides of the equation.
80 = 3*r

Step 3: Divide both sides of the equation by 3.
80 / 3 = 3*r / 3

Step 4: Simplify both sides of the equation.
26.67 = r

The value of 'r' is 26.67.

Expected answer: 80/3

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of v, follow these steps:

Step 1: Isolate the term with the variable v.
To do this, subtract 70 from both sides of the equation:
154 - 70 = (70 + (31 * v)) - 70

Step 2: Simplify both sides of the equation.
84 = 31 * v

Step 3: Solve for v by dividing both sides of the equation by 31.
84 / 31 = (31 * v) / 31

Step 4: Simplify the equation to find the value of v.
v = 2.71

So, the value of v is approximately 2.71.

Expected answer: 84/31

Correct? No

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

DeepSeek 67B:

To solve the equation for the value of r, we will follow these steps:

1. Subtract 87 from both sides of the equation.
2. Divide both sides of the equation by 70.

Step 1: Subtract 87 from both sides of the equation:
179 - 87 = ((70 * r) + 87) - 87

92 = 70 * r

Step 2: Divide both sides of the equation by 70:
92 / 70 = (70 * r) / 70

1.3142857142857142 = r

So, the value of r is approximately 1.3142857142857142.

Expected answer: 46/35

Correct? Yes

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

DeepSeek 67B:

To solve the equation 93 = ((19 * r) + 2) for r, follow these steps:

Step 1: Subtract 2 from both sides of the equation.
93 - 2 = (19 * r) + 2 - 2

Step 2: Simplify both sides of the equation.
91 = 19 * r

Step 3: Divide both sides of the equation by 19.
91 / 19 = (19 * r) / 19

Step 4: Simplify both sides of the equation.
5 = r

The value of r is 5.

Expected answer: 91/19

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of z, follow these steps:

Step 1: Isolate the term with the variable z.
20 = (67 - (37 * z))

Step 2: Move the constant term to the other side of the equation.
20 + (37 * z) = 67

Step 3: Factor out the variable z.
37 * z = 67 - 20

Step 4: Simplify the equation.
37 * z = 47

Step 5: Divide both sides of the equation by the coefficient of z (37).
z = 47 / 37

Step 6: Simplify the fraction.
z = 1

The value of z is 1.

Expected answer: 47/37

Correct? No

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

DeepSeek 67B:

To solve the linear equation for m, follow these steps:

Step 1: Subtract 15 from both sides of the equation.
65 - 15 = ((25 * m) + 15) - 15

Step 2: Simplify both sides of the equation.
50 = 25 * m

Step 3: Divide both sides of the equation by 25.
50 / 25 = (25 * m) / 25

Step 4: Simplify both sides of the equation.
2 = m

The solution is m = 2.

Expected answer: 2

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for g, follow these steps:

Step 1: Subtract 19 from both sides of the equation.
79 - 19 = ((6 * g) + 19) - 19

Step 2: Simplify both sides of the equation.
60 = 6 * g

Step 3: Divide both sides of the equation by 6.
60 / 6 = (6 * g) / 6

Step 4: Simplify both sides of the equation.
10 = g

So, g = 10.

Expected answer: 10

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the variable 'l', follow these steps:

Step 1: Isolate the term with the variable 'l' on one side of the equation.

30 = (56 * l) - 45

Step 2: Add 45 to both sides of the equation to eliminate the constant term on the right side.

30 + 45 = (56 * l) - 45 + 45

75 = 56 * l

Step 3: Divide both sides of the equation by 56 to solve for 'l'.

75 / 56 = (56 * l) / 56

1.34 = l

The solution for the variable 'l' is 1.34.

Expected answer: 75/56

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation, we need to isolate j. We can do this by following these steps:

1. Subtract 4 from both sides of the equation.
2. Divide both sides of the equation by 11.

Let's perform these steps:

1. 57 - 4 = ((11 * j) + 4) - 4
   53 = 11 * j

2. 53 / 11 = (11 * j) / 11
   5 = j

So, the value of j is 5.

Expected answer: 53/11

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation 36 = 34 * f - 56 for 'f', we need to isolate 'f' on one side of the equation.

Step 1: Add 56 to both sides of the equation to eliminate the constant term on the right side.
36 + 56 = 34 * f - 56 + 56

Step 2: Simplify both sides of the equation.
92 = 34 * f

Step 3: Divide both sides of the equation by 34 to isolate 'f'.
92 / 34 = 34 * f / 34

Step 4: Simplify both sides of the equation to find the value of 'f'.
f = 2.71

The value of 'f' is approximately 2.71.

Expected answer: 46/17

Correct? No

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

DeepSeek 67B:

To solve the linear equation 56 = (70 * u) - 43 for 'u', follow these steps:

Step 1: Isolate the term with the variable 'u' by adding 43 to both sides of the equation.
56 + 43 = (70 * u) - 43 + 43

Step 2: Simplify both sides of the equation.
99 = 70 * u

Step 3: Divide both sides of the equation by 70 to solve for 'u'.
99 / 70 = 70 * u / 70

Step 4: Simplify the equation to find the value of 'u'.
u = 99 / 70

### Answer: u = 99/70

Expected answer: 99/70

Correct? Yes

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

DeepSeek 67B:

To solve the equation 67 = 21 + 9*x for the variable x, follow these steps:

Step 1: Subtract 21 from both sides of the equation.
67 - 21 = 21 - 21 + 9*x

Step 2: Simplify both sides of the equation.
46 = 9*x

Step 3: Divide both sides of the equation by 9.
46 / 9 = 9*x / 9

Step 4: Simplify both sides of the equation.
5.11 = x

So, the solution for the variable x is x = 5.11.

Expected answer: 46/9

Correct? No

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

DeepSeek 67B:

To determine the unknown variable i in the equation 75 = (58 + 16 * i), we need to isolate i on one side of the equation.

Step 1: Subtract 58 from both sides of the equation.
75 - 58 = (58 + 16 * i) - 58
17 = 16 * i

Step 2: Divide both sides of the equation by 16.
17 / 16 = (16 * i) / 16
17 / 16 = i

The value of the unknown variable i is 17/16.

Expected answer: 17/16

Correct? Yes

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

DeepSeek 67B:

To solve for x in the equation 111 = (54 + (39 * x)), follow these steps:

Step 1: Isolate the term with the variable x.
To do this, subtract 54 from both sides of the equation:
111 - 54 = (54 + (39 * x)) - 54

Step 2: Simplify both sides of the equation.
57 = 39 * x

Step 3: Solve for x by dividing both sides of the equation by 39.
57 / 39 = (39 * x) / 39

Step 4: Simplify the equation to find the value of x.
x = 1.4615

So, x ≈ 1.4615.

Expected answer: 19/13

Correct? No

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

DeepSeek 67B:

To solve the equation 155 = ((26 * o) + 68) for the value of 'o', follow these steps:

Step 1: Subtract 68 from both sides of the equation.
155 - 68 = ((26 * o) + 68) - 68

Step 2: Simplify both sides of the equation.
87 = 26 * o

Step 3: Divide both sides of the equation by 26.
87 / 26 = (26 * o) / 26

Step 4: Simplify both sides of the equation.
3.3461538461538464 = o

So, the value of 'o' is approximately 3.35.

Expected answer: 87/26

Correct? No

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

DeepSeek 67B:

To solve for p in the equation 7 = ((12 * p) - 17), follow these steps:

Step 1: Add 17 to both sides of the equation.
7 + 17 = ((12 * p) - 17) + 17

Step 2: Simplify both sides of the equation.
24 = 12 * p

Step 3: Divide both sides of the equation by 12.
24 / 12 = (12 * p) / 12

Step 4: Simplify both sides of the equation.
2 = p

So, p = 2.

Expected answer: 2

Correct? Yes

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

DeepSeek 67B:

To solve for the variable 'b', we need to isolate 'b' on one side of the equation.

Given equation: 163 = 93 + 55 * b

Step 1: Subtract 93 from both sides of the equation.
163 - 93 = 93 + 55 * b - 93

Step 2: Simplify the equation.
70 = 55 * b

Step 3: Divide both sides of the equation by 55 to isolate 'b'.
70 / 55 = 55 * b / 55

Step 4: Simplify the equation to find the value of 'b'.
b = 70 / 55

Step 5: Simplify the fraction.
b = 14 / 11

The value of the variable 'b' is 14/11.

Expected answer: 14/11

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of 'u', we need to isolate 'u' on one side of the equation.

Given equation: 62 = (u - 26)

Step 1: Add 26 to both sides of the equation to eliminate the -26 term on the right side.
62 + 26 = (u - 26) + 26

Step 2: Simplify both sides of the equation.
88 = u

So, the value of 'u' is 88.

Expected answer: 88

Correct? Yes

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

DeepSeek 67B:

To solve the equation for the variable a, we will follow these steps:

1. Subtract 93 from both sides of the equation.
2. Divide both sides of the equation by 63.

Step 1: Subtract 93 from both sides of the equation:

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

86 = 63 * a

Step 2: Divide both sides of the equation by 63:

86 / 63 = (63 * a) / 63

a = 1.37

So, the value of the variable a is approximately 1.37.

Expected answer: 86/63

Correct? No

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

DeepSeek 67B:

To find the value of c, we need to isolate c on one side of the equation.

Step 1: Add 11 to both sides of the equation.
51 + 11 = ((27 * c) - 11) + 11

Step 2: Simplify both sides of the equation.
62 = 27 * c

Step 3: Divide both sides of the equation by 27.
62 / 27 = (27 * c) / 27

Step 4: Simplify both sides of the equation.
c = 2.3

The value of c is 2.3.

Expected answer: 62/27

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation for 'd', we need to isolate 'd' on one side of the equation.

Step 1: Add 18 to both sides of the equation.
19 + 18 = ((28 * d) - 18) + 18

Step 2: Simplify both sides of the equation.
37 = 28 * d

Step 3: Divide both sides of the equation by 28.
37 / 28 = (28 * d) / 28

Step 4: Simplify both sides of the equation.
d = 1.3214285714285714

So, d = 1.3214285714285714

Expected answer: 37/28

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the value of e, we need to isolate e on one side of the equation. Here's the step-by-step process:

1. Start with the given equation:
159 = (47 * e) + 62

2. Subtract 62 from both sides of the equation to isolate the term with e:
159 - 62 = (47 * e) + 62 - 62

3. Simplify both sides of the equation:
97 = 47 * e

4. Divide both sides of the equation by 47 to solve for e:
97 / 47 = (47 * e) / 47

5. Simplify both sides of the equation:
2 = e

So, the value of e is 2.

Expected answer: 97/47

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the variable g, follow these steps:

Step 1: Isolate the term with the variable g.
Subtract 50 from both sides of the equation:
145 - 50 = (50 + (91 * g)) - 50
95 = 91 * g

Step 2: Solve for g.
Divide both sides of the equation by 91:
95 / 91 = (91 * g) / 91
1 = g

The solution for the variable g is g = 1.

Expected answer: 95/91

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the value of l, we will follow these steps:

1. Isolate the term with the variable l on one side of the equation.
2. Simplify the equation.
3. Solve for l.

Step 1: Isolate the term with the variable l
123 = ((44 * l) + 73)

Step 2: Subtract 73 from both sides of the equation
123 - 73 = ((44 * l) + 73) - 73

50 = 44 * l

Step 3: Solve for l
To solve for l, divide both sides of the equation by 44:

50 / 44 = (44 * l) / 44

1.1363636363636363 = l

The value of l is approximately 1.1363636363636363.

Expected answer: 25/22

Correct? No

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

DeepSeek 67B:

Reasoning:
To solve the equation 165 = ((19 * q) + 75), we need to isolate the variable q.

Step 1: Subtract 75 from both sides of the equation.
165 - 75 = (19 * q) + 75 - 75

Step 2: Simplify both sides of the equation.
90 = 19 * q

Step 3: Divide both sides of the equation by 19 to isolate q.
90 / 19 = 19 * q / 19

Step 4: Simplify both sides of the equation.
5 = q

The solution to the equation is q = 5.

Expected answer: 90/19

Correct? No

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

DeepSeek 67B:

To solve the linear equation for g, follow these steps:

1. Subtract 62 from both sides of the equation:
149 - 62 = (18 * g) + 62 - 62

2. Simplify the equation:
87 = 18 * g

3. Divide both sides of the equation by 18:
87 / 18 = (18 * g) / 18

4. Simplify the equation to find the value of g:
g = 4.8333 (rounded to four decimal places)

So, the value of g is approximately 4.8333.

Expected answer: 29/6

Correct? No

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

DeepSeek 67B:

To solve the linear equation for the variable d, we need to isolate d on one side of the equation. Here's the step-by-step process:

1. Start with the given equation:
   84 = 20 * d + 21

2. Subtract 21 from both sides of the equation to eliminate the constant term on the right side:
   84 - 21 = 20 * d + 21 - 21

3. Simplify both sides of the equation:
   63 = 20 * d

4. Divide both sides of the equation by 20 to isolate d:
   63 / 20 = 20 * d / 20

5. Simplify both sides of the equation:
   d = 3.15

So, the value of d is 3.15.

Expected answer: 63/20

Correct? Yes

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

DeepSeek 67B:

To solve the equation 61 = (50 + (6 * g)) for g, follow these steps:

Step 1: Subtract 50 from both sides of the equation.
61 - 50 = 50 + (6 * g) - 50

Step 2: Simplify both sides of the equation.
11 = 6 * g

Step 3: Divide both sides of the equation by 6.
11 / 6 = (6 * g) / 6

Step 4: Simplify both sides of the equation.
11 / 6 = g

So, the value of g is 11/6.

Expected answer: 11/6

Correct? Yes

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

DeepSeek 67B:

To solve the linear equation for the unknown variable v, we will follow these steps:

1. Isolate the term with the variable v on one side of the equation.
2. Simplify the equation.
3. Solve for v.

Step 1: Isolate the term with the variable v on one side of the equation.

126 = ((21 * v) + 76)

Subtract 76 from both sides of the equation:

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

50 = 21 * v

Step 2: Simplify the equation.

The equation is already simplified.

Step 3: Solve for v.

To solve for v, divide both sides of the equation by 21:

50 / 21 = (21 * v) / 21

v = 50 / 21

The value of v is approximately 2.381.

Expected answer: 50/21

Correct? No

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

DeepSeek 67B:

To solve the linear equation for g, follow these steps:

Step 1: Isolate the term with the variable g.
To do this, subtract 24 from both sides of the equation:

74 - 24 = (91 * g) - 24 - 24

Step 2: Simplify the equation.
40 = 91 * g

Step 3: Solve for g by dividing both sides of the equation by 91:

40 / 91 = 91 * g / 91

Step 4: Simplify the equation to find the value of g:

g = 40 / 91

So, g = 40/91.

Expected answer: 14/13

Correct? No