🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for the variable u, we need to isolate it on one side of the equation.
    First, subtract 92 from both sides of the equation:
    122 - 92 = 28 * u
    30 = 28 * u
    Next, divide both sides of the equation by 28:
    30 / 28 = (28 * u) / 28
    30 / 28 = u
    ### Answer: u = 30 / 28 = 15 / 14 = 1.0714285714285714

Expected answer: 15/14

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    First, add 34 to both sides of the equation:

    42 + 34 = ((35 * i) - 34) + 34
    76 = 35 * i

    Next, divide both sides of the equation by 35:

    76 / 35 = (35 * i) / 35
    2.17142857143 = i

    ### Answer: i = 2.17142857143 (rounded to 12 decimal places)

Expected answer: 76/35

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate r, we first subtract 41 from both sides of the equation:

    94 - 41 = 6 * r
    53 = 6 * r

    Then, we divide both sides by 6 to solve for r:

    53 / 6 = r
    r = 8.83333333333 (rounded to 11 decimal places)
    ### Answer: r = 8.83333333333 (rounded to 11 decimal places)

Expected answer: 53/6

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of "i", first subtract 94 from both sides of the equation:

    158 - 94 = (19 * i)
    64 = 19 * i

    Then divide both sides by 19:

    64 / 19 = i
    i = 3.36842105263 (rounded to 8 decimal places)

    ### Answer: i = 3.36842105 (when rounded to 7 decimal places)

Expected answer: 64/19

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate q, we first subtract 54 from both sides of the equation:

    134 - 54 = (30 \* q)
    80 = 30 \* q

    Next, we divide both sides by 30:

    80 / 30 = q

    q = 8/3 or approximately 2.67 (rounded to two decimal places).
    ### Answer: q = 8/3 or approximately 2.67 (rounded to two decimal places).

Expected answer: 8/3

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for y, we need to isolate y on one side of the equation. We can do this by subtracting 27 from both sides of the equation:

    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)

Mixtral 8x7B:

     Reasoning: To solve for h, we first add 70 to both sides of the equation:
    9 + 70 = (23 * h) - 70 + 70
    79 = 23 * h
    Next, we divide both sides by 23:
    79 / 23 = (23 * h) / 23
    h = 3.43 (rounded to two decimal places)
    ### Answer: h = 3.43

Expected answer: 79/23

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of t, we need to isolate t in the equation.

    First, subtract 26 from both sides of the equation:

    92 - 26 = 33 * t
    66 = 33 * t

    Next, divide both sides of the equation by 33:

    66 / 33 = 33 * t / 33
    t = 2

    ### Answer: t = 2

Expected answer: 2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for e, we first subtract 29 from both sides of the equation:

    123 - 29 = 15 * e
    94 = 15 * e

    Then, we divide both sides by 15 to solve for e:

    94 / 15 = e
    e = 6.26666666667
    ### Answer: e = 6.26666666667 (rounded to 12 decimal places)

Expected answer: 94/15

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate k, we first add 80 to both sides of the equation:

    16 + 80 = (75 * k) - 80 + 80
    96 = 75 * k

    Next, we divide both sides by 75:

    96 / 75 = (75 * k) / 75
    96 / 75 = k
    k ≈ 1.28
    ### Answer: k ≈ 1.28

Expected answer: 32/25

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate q, we first subtract 89 from both sides of the equation:

    131 - 89 = (5 * q)
    42 = (5 * q)

    Then, we divide both sides by 5 to solve for q:

    42 / 5 = q
    q = 8.4

    However, since the number of clips sold must be a whole number, there is no solution for q that satisfies the equation.
    ### Answer: No solution for q as a whole number.

Expected answer: 42/5

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of p, we need to isolate p in the equation.

    First, subtract 56 from both sides of the equation:

    147 - 56 = (38 \* p) + 56 - 56
    91 = 38 \* p

    Next, divide both sides of the equation by 38:

    91 / 38 = (38 \* p) / 38
    p = 91 / 38
    p = 2.394736842105263

    However, since p is a whole number, there is no exact solution for p that satisfies the equation. The closest whole number is p = 2, but that would result in 147 = 40 \* p + 56, which is not the original equation.

    ### Answer: There is no whole number value of p that satisfies the equation.

Expected answer: 91/38

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate j, we first subtract 23 from both sides of the equation:
    76 - 23 = 42 \* j
    53 = 42 \* j

    Then, to solve for j, we divide both sides by 42:
    j = 53 / 42
    j = 1.2619047619047618

    However, since j is a whole number, it's possible that the equation is incorrect or that we need to round the answer. If we round j to the nearest whole number, we get:
    j = 1

    But to make the equation true, j must be:
    j = 1 + 12/42
    j = 1 + 1/3.5
    j = 1 + 0.2857142857142857
    j = 1.2857142857142856

    So, j is approximately 1.29 (when rounded to two decimal places) or 1 + 1/3.5 or 1 + 12/42.
    ### Answer: j = 1.2857142857142856 (exact), j ≈ 1.29 (rounded to two decimal places)

Expected answer: 53/42

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for 'l', we need to isolate it on one side of the equation. We can do this by following the order of operations (PEMDAS/BODMAS) in reverse.

    First, we'll divide both sides by 25:

    138 / 25 = (43 + 25 * l) / 25
    5.52 = 43 / 25 + l

    Next, we'll subtract 43 / 25 from both sides:

    5.52 - 43 / 25 = l
    5.52 - 1.72 = l
    3.8 = l

    ### Answer: l = 3.8

Expected answer: 19/5

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To find the value of w, first subtract 35 from both sides of the equation:

    80 - 35 = 24w
    45 = 24w

    Then divide both sides by 24:

    w = 45 / 24
    w = 1.54166666667

    Since w is a whole number of clips, it must be that w is an approximation of the actual value. The original equation can be satisfied by any integer value of w that is greater than or equal to 1.54166666667 rounded to the nearest whole number, which is 2.

    ### Answer: w ≈ 2 (when rounding to the nearest whole number)

Expected answer: 15/8

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate x, we first need to get rid of the innermost parentheses. We do this by multiplying 14 and x:

    14 * x = 14x

    Then, we add 33 to 14x:

    33 + 14x

    Now, we have the equation:

    77 = 33 + 14x

    To solve for x, we first subtract 33 from both sides:

    77 - 33 = 33 + 14x - 33

    This simplifies to:

    44 = 14x

    Finally, we divide both sides by 14 to solve for x:

    x = 44 / 14

    Simplifying this fraction gives us:

    x = 11/2

    ### Answer: x = 11/2

Expected answer: 22/7

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for y, we need to isolate y on one side of the equation. We can do this by following the order of operations, which is to perform multiplication and division before addition and subtraction.

    First, we'll do the multiplication:
    110 = 12 + 88y
    110 = 12 + 88y

    Then, we'll subtract 12 from both sides:
    110 - 12 = 12 - 12 + 88y
    98 = 88y

    Finally, we'll divide both sides by 88 to solve for y:
    98 / 88 = 88y / 88
    y = 98 / 88
    y = 1.1136363636363635

    ### Answer: y = 1.1136363636363635 (rounded to 13 decimal places)

Expected answer: 49/44

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for 's', we first subtract 80 from both sides of the equation:

    179 - 80 = 82 * s
    99 = 82 * s

    Next, we divide both sides by 82 to isolate 's':

    s = 99 / 82
    s = 1.2073170731707316

    ### Answer: s = 1.2073170731707316

Expected answer: 99/82

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    First, subtract 66 from both sides of the equation:

    129 - 66 = 26*m + 66 - 66

    This simplifies to:

    63 = 26*m

    Next, divide both sides by 26:

    63 / 26 = 26*m / 26

    This simplifies to:

    m = 63 / 26

    m = 2.423076923076923

    ### Answer: m = 2.423076923076923

Expected answer: 63/26

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for q, we first add 17 to both sides of the equation:

    82 + 17 = (27*q) - 17 + 17
    99 = 27*q

    Next, we divide both sides by 27:

    99 / 27 = (27*q) / 27
    3.66666666667 = q

    Rounding to two decimal places, the solution is:

    ### Answer: q ≈ 3.67

Expected answer: 11/3

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the variable k, we need to undo the operations on the right side of the equation in reverse order.

    First, subtract 64 from both sides of the equation:

    141 - 64 = 64 + 22k - 64

    This simplifies to:

    77 = 22k

    Next, divide both sides of the equation by 22:

    77 / 22 = 22k / 22

    This simplifies to:

    k = 3.5
    ### Answer: k = 3.5

Expected answer: 7/2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for v, we need to isolate v on one side of the equation. First, subtract 91 from both sides of the equation:

    175 - 91 = 45 * v
    84 = 45 * v

    Next, divide both sides of the equation by 45:

    84 / 45 = v

    v ≈ 1.867 (rounded to four decimal places)
    ### Answer: v ≈ 1.867 (when rounded to four decimal places)

Expected answer: 28/15

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for k, we first want to isolate it on one side of the equation. To do this, we need to get rid of the 18 that's subtracted from the term with k. We can do this by adding 18 to both sides of the equation:

    50 + 18 = (63 * k) - 18 + 18
    68 = 63 * k

    Now, we want to solve for k, so we need to divide both sides of the equation by 63:

    k = 68 / 63
    k = 1.0793650793650793

    Since we're looking for an exact answer, we can leave the answer as a fraction:

    k = 68 / 63

    ### Answer: k = 68 / 63

Expected answer: 68/63

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    To do this, we will first add 10 to both sides of the equation:

    65 + 10 = ((8 * l) - 10) + 10
    75 = 8 * l

    Next, we will divide both sides of the equation by 8:

    75 / 8 = (8 * l) / 8
    9.375 = l

    ### Answer: l = 9.375

Expected answer: 75/8

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    First, add 34 to both sides of the equation:

    5 + 34 = ((10 * u) - 34) + 34

    This simplifies to:

    39 = 10 * u

    Next, divide both sides of the equation by 10:

    39 / 10 = (10 * u) / 10

    This simplifies to:

    u = 39 / 10 = 3.9
    ### Answer: u = 3.9

Expected answer: 39/10

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for 'a' in the equation 91 = 9 * a + 61, follow these steps:

    1. Subtract 61 from both sides of the equation: 91 - 61 = 9 * a
    2. Simplify the left side: 30 = 9 * a
    3. Divide both sides by 9: 30 / 9 = 9 * a / 9
    4. Simplify: 3.33333333333 = a

    To express the answer as a whole number, we can say that 'a' is approximately equal to 3.33, or we can say that 'a' is equal to 3 with a remainder of 3 when divided by 9.
    ### Answer: a ≈ 3.33 or a = 3 R 3 (where R represents the remainder)

Expected answer: 10/3

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for i, we first subtract 61 from both sides of the equation:

    157 - 61 = 53 * i
    96 = 53 * i

    Next, we divide both sides by 53 to isolate i:

    96 / 53 = i
    ### Answer: i = 1.81132075472 (rounded to 8 decimal places)

Expected answer: 96/53

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for q, we first subtract 14 from both sides of the equation:
    71 - 14 = 24 * q
    57 = 24 * q

    Next, we divide both sides by 24:
    57 / 24 = (24 * q) / 24
    q = 57 / 24

    Simplifying the fraction, we get:
    q = 1.95833333333

    However, since we are looking for an exact solution, we can multiply both numerator and denominator by 10 to get a more accurate answer:
    q = (1.95833333333 * 10) / (24 * 10)
    q = 19.583333333 / 240

    So, q is approximately equal to 0.0816.
    ### Answer: q ≈ 0.0816

Expected answer: 19/8

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for i, we first subtract 96 from both sides of the equation:
    163 - 96 = 14 * i
    67 = 14 * i

    Then, we divide both sides by 14 to isolate i:
    67 / 14 = (14 * i) / 14
    67 / 14 = i
    i = 67 / 14 = <<67/14=4.785714285714286>>4.7857 (rounded to five decimal places)
    ### Answer: i = 4.78571 (rounded to five decimal places)

Expected answer: 67/14

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the term with e, we first add 23 to both sides of the equation:

    59 + 23 = 70 * e - 23 + 23
    82 = 70 * e

    Next, we divide both sides of the equation by 70:

    82 / 70 = (70 * e) / 70
    1.171428571 = e

    ### Answer: e = 1.171428571 (rounded to 12 decimal places)

Expected answer: 41/35

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for o, we first subtract 74 from both sides of the equation:

    147 - 74 = 36 * o
    73 = 36 * o

    Next, we divide both sides by 36 to isolate o:

    o = 73 / 36
    o = 2.0278 (rounded to eight decimal places)

    ### Answer: o = 2.02777778 (when rounded to eight decimal places)

Expected answer: 73/36

Correct? No

🔗 Problem

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

Mixtral 8x7B:

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

    First, subtract 71 from both sides:

    93 - 71 = 93 - (13 \* d) - 71
    22 = -13 \* d

    Next, divide both sides by -13:

    22 / -13 = (-13 \* d) / -1

Expected answer: 22/13

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate n, first subtract 64 from both sides of the equation:

    118 - 64 = 6 * n
    54 = 6 * n

    Then divide both sides by 6:

    54 / 6 = (6 * n) / 6
    n = 9

Expected answer: 9

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the term with 'd', we first add 7 to both sides of the equation:
    61 + 7 = (5 * d) - 7 + 7
    78 = 5 * d
    Next, we divide both sides by 5 to solve for 'd':
    78 / 5 = (5 * d) / 5
    d = 78 / 5 = <<78/5=15.6>>15.6
    ### Answer: 15.6

Expected answer: 68/5

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for z, we first add 18 to both sides of the equation:
    79 + 18 = (8 * z) - 18 + 18
    97 = 8 * z

    Next, we divide both sides by 8:
    97 / 8 = (8 * z) / 8
    12.125 = z

    ### Answer: z = 12.125

Expected answer: 97/8

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for z, we first subtract 63 from both sides of the equation:
    129 - 63 = 2z
    Then, we divide both sides by 2:
    (129 - 63)/2 = z
    ### Answer: z = 33

Expected answer: 33

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate e, we first need to get rid of the parentheses.
    127 = 29 + 32e
    Next, subtract 29 from both sides.
    127 - 29 = 32e
    98 = 32e
    Now, divide both sides by 32 to solve for e.
    98 / 32 = 32e / 32
    e = 98 / 32
    e = 3.0625
    ### Answer: e = 3.0625

Expected answer: 49/16

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for x, we first need to isolate x. We can do this by following these steps:

    1. Subtract 35 from both sides of the equation:
    30 - 35 = 50x - 35 - 35
    -5 = 50x - 70

    2. Add 70 to both sides of the equation:
    70 - 5 = 50x
    65 = 50x

    3. Divide both sides of the equation by 50:
    65 / 50 = (50x) / 50
    1.3 = x

    ### Answer: x = 1.3

Expected answer: 13/10

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    First, subtract 9 from both sides of the equation:

    66 - 9 = 10 * x
    57 = 10 * x

    Next, divide both sides of the equation by 10:

    57 / 10 = x
    x = 5.7
    ### Answer: x = 5.7

Expected answer: 57/10

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for the unknown variable 'a' in the equation 103 = ((38 * a) + 51), follow these steps:

    1. Subtract 51 from both sides of the equation:
    103 - 51 = (38 * a) + 51 - 51
    52 = 38 * a

    2. Divide both sides by 38:
    52 / 38 = (38 * a) / 38
    1.3157894736842105 = a

    Since the result is a decimal number, it is possible that the original equation has no solution or that the problem has a mistake. However, if we assume that the problem is correct and we need to find an approximate solution, then:
    ### Answer: a ≈ 1.32 (rounded to two decimal places)

Expected answer: 26/19

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of f, we need to isolate f in the equation.

    105 = 28 * f + 8
    105 - 8 = 28 * f (subtracting 8 from both sides)
    97 = 28 * f (simplifying)
    97 / 28 = f (dividing both sides by 28)
    f = 3.46428571429 (rounded to 11 decimal places)
    ### Answer: f = 3.46428571429 (rounded to 11 decimal places)

Expected answer: 97/28

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve the equation for u, we first want to isolate u on one side of the equation. We can do this by following the order of operations and working backwards from the given equation.

    Given: 12 = 63 - 50 * u

    To isolate u, we need to undo the multiplication of 50 and u. To do this, we divide both sides of the equation by 50:

    12 / 50 = (63 - 50 * u) / 50

    Now, we can simplify the equation:

    0.24 = 63 / 50 - u

    Next, we need to undo the subtraction of u. To do this, we add u to both sides of the equation:

    u = 0.24 + u

    Finally, we need to undo the addition of u. To do this, we subtract u from both sides of the equation:

    u = 0.24 - 0.24

    Simplifying, we get:

    u = 0

    ### Answer: u = 0

Expected answer: 51/50

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for the value of 'b', first subtract 42 from both sides of the equation:

    60 - 42 = 10 * b
    18 = 10 * b

    Then divide both sides by 10 to isolate 'b':

    b = 18 / 10
    b = 1.8
    ### Answer: b = 1.8

Expected answer: 9/5

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for 'j', we first subtract 13 from both sides of the equation:

    84 - 13 = 25*j
    71 = 25*j

    Then, we divide both sides by 25 to isolate 'j':

    j = 71 / 25
    j = 2.84
    ### Answer: j = 2.84

Expected answer: 71/25

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for s, we first subtract 91 from both sides of the equation:

    153 - 91 = 91 + 5*s - 91
    62 = 5*s

    Next, we divide both sides of the equation by 5 to solve for s:

    62 / 5 = (5*s) / 5
    12.4 = s

    However, since we cannot have a decimal value for s in this context, there may be an error in the given equation or the values provided. Please check the problem to ensure that the values are correct.

    ### Answer: s = 12.4 (but please check the given values for potential errors)

Expected answer: 62/5

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: First, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMDAS.

    So, we first solve the expression in the innermost parentheses: 30 * g
    Then, we add 22 to the result of that multiplication.
    Finally, we check if the result is equal to 65. If not, we solve for g.

    65 = 22 + (30 * g)

    First, subtract 22 from both sides:

    65 - 22 = 30 * g

    43 = 30 * g

    Now, divide both sides by 30:

    43 / 30 = g

    g ≈ 1.43

    However, g is not a decimal in this context. It is likely that there is a mistake in the problem, and it is impossible to find an exact solution for g with whole numbers. But, if we round g to the nearest whole number, we get:

    g = 1

    And we can check if this is a valid solution:

    65 = 22 + (30 * 1)

    65 = 22 + 30

    65 = 52

    Since this is not true, there is no exact solution for g with whole numbers.

Expected answer: 43/30

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate f, we first subtract 10 from both sides of the equation:
    96 - 10 = (29*f) + 10 - 10
    86 = 29*f
    Next, we divide both sides by 29:
    86 / 29 = (29*f) / 29
    f = 86 / 29
    f = <<86/29=2.96551724137931>>2.97 (rounded to two decimal places)
    ### Answer: f = 2.97 (rounded to two decimal places)

Expected answer: 86/29

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for the variable q, we need to isolate it on one side of the equation. We can do this by following the order of operations (PEMDAS/BODMAS) in reverse.

    First, subtract 19 from both sides of the equation:

    80 - 19 = 19 + (14 \* q) - 19
    61 = 14 \* q

    Next, divide both sides of the equation by 14:

    61 / 14 = (14 \* q) / 14
    q = 61 / 14
    q ≈ 4.36
    ### Answer: q ≈ 4.36

Expected answer: 61/14

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for m, we need to isolate it on one side of the equation. We can do this by following the order of operations in reverse.

    First, subtract 95 from both sides of the equation:

    145 - 95 = 95 + 46*m - 95
    50 = 46*m

    Next, divide both sides by 46:

    50 / 46 = 46*m / 46
    50 / 46 = m

    ### Answer: m = 50 / 46

Expected answer: 25/23

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the term with 'i', we first need to get rid of the 6 that is multiplied by it. We can do this by dividing both sides of the equation by 6:

    68 - 13 = 6 * i / 6
    55 = i
    ### Answer: i = 55

Expected answer: 55/6

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate h, we need to get it by itself on one side of the equation.

    First, add 61 to both sides of the equation:
    25 + 61 = ((74 * h) - 61) + 61
    96 = 74 * h

    Next, divide both sides of the equation by 74:
    96 / 74 = (74 * h) / 74
    1.3 = h
    ### Answer: h = 1.3

Expected answer: 43/37

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for q, we first add 30 to both sides of the equation:
    51 + 30 = (6 * q) - 30 + 30
    81 = 6 * q
    Next, we divide both sides of the equation by 6:
    81 / 6 = (6 * q) / 6
    13.5 = q
    ### Answer: 13.5

Expected answer: 27/2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of r, we first need to isolate r on one side of the equation. We can do this by following the order of operations, which is to perform multiplication and division before addition and subtraction.

    First, subtract 81 from both sides of the equation:

    38 - 81 = 81 - 36 \* r - 81
    -43 = -36 \* r

    Next, divide both sides of the equation by -36:

    -43 / -36 = (-36 \* r) / -36
    -43 / -36 = r

    ### Answer: r = -43 / -36 or r = 1.19444444444 (rounded to 11 decimal places)

Expected answer: 43/36

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the term with variable "a", first, subtract 23 from both sides of the equation:
    90 - 23 = 56 * a
    67 = 56 * a
    Next, divide both sides by 56:
    67 / 56 = (56 * a) / 56
    a = 67 / 56
    ### Answer: a = 1.23214285714 (rounded to 12 decimal places)

Expected answer: 67/56

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for h, we first want to isolate h on one side of the equation. We can do this by following the order of operations in reverse.

    1. Divide both sides of the equation by 30:

    81 / 30 = (13 + 30 * h) / 30
    2. Simplify the left side:

    2.7 = 13/30 + h
    3. Subtract 13/3

Expected answer: 34/15

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for m, we first subtract 69 from both sides of the equation:

    160 - 69 = (62 * m)
    91 = 62 * m

    Next, we divide both sides by 62 to isolate m:

    m = 91 / 62
    m = 1.467741935483871 (rounded to 15 decimal places)

    ### Answer: m = 1.467741935483871

Expected answer: 91/62

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate q, we first need to get rid of the 28 that's being multiplied by q. We can do this by dividing both sides of the equation by 28.

    100 / 28 = (69 + 28 * q) / 28

    This simplifies to:

    3.571428571 = 1 + q

    Now, we can isolate q by subtracting 1 from both sides:

    q = 2.571428571

    ### Answer: q = 2.571428571 (rounded to 9 decimal places)

Expected answer: 31/28

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate w, we first subtract 94 from both sides of the equation:

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

    Next, we divide both sides by 98:

    98 / 98 = w
    w = 1
    ### Answer: w = 1

Expected answer: 1

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for y, we need to isolate y on one side of the equation. We can do this by following the order of operations (PEMDAS/BODMAS) in reverse.

    First, subtract 40 from both sides of the equation:

    93 - 33*y - 40 = 93 - 40
    53 - 33*y = 53

    Next, subtract 53 from both sides of the equation:

    53 - 33*y - 53 = 53 - 53
    -33*y = 0

    Finally, divide both sides of the equation by -33:

    (-33*y)/-33 = 0/-33
    y = 0
    ### Answer: y = 0

Expected answer: 53/33

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for u, we first need to isolate u. To do this, we will first get rid of the parentheses by distributing the 48 to both terms inside the parentheses.

    74 = 48u - 20

    Next, we will add 20 to both sides to isolate the term with u on one side of the equation.

    74 + 20 = 48u

    94 = 48u

    Finally, we will divide both sides by 48 to solve for u.

    94 / 48 = (48u) / 48

    94 / 48 = u

    ### Answer: u = 94 / 48 or u ≈ 1.96 (rounded to two decimal places)

Expected answer: 47/24

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

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

    First, add 76 to both sides of the equation:

    13 + 76 = ((86 * f) - 76) + 76
    99 = 86 * f

    Next, divide both sides of the equation by 86:

    99 / 86 = (86 * f) / 86
    1.1511627907 = f

    ### Answer: f ≈ 1.1511627907 (rounded to 9 decimal places)

Expected answer: 89/86

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate c, first subtract 36 from both sides of the equation:

    122 - 36 = 56 * c
    86 = 56 * c

    Then divide both sides by 56:

    86 / 56 = (56 * c) / 56
    86 / 5

Expected answer: 43/28

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for q, we first need to isolate it on one side of the equation. We can do this by following the order of operations, which is to first divide and then subtract.

    First, subtract 99 from both sides of the equation:

    186 - 99 = 81 * q
    87 = 81 * q

    Next, divide both sides by 81:

    87 / 81 = 81 * q / 81
    q = 87 / 81
    q = 0.950625

    ### Answer: q = 0.950625 or approximately 0.95 (when rounded to two decimal places)

Expected answer: 29/27

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of 'u', we need to isolate it in the equation.

    120 - 77 = 42*u
    43 = 42*u
    u = 43/42
    u = 1.0238095238095238 (rounded to 15 decimal places)

    ### Answer: u = 1.0238095238095238 (rounded to 15 decimal places) or u ≈ 1.02 (rounded to two decimal places)

Expected answer: 43/42

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate j, first subtract 52 from both sides of the equation:
    103 - 52 = 52 + (6 \* j) - 52
    51 = 6 \* j
    Now divide both sides by 6:
    51 / 6 = (6 \* j) / 6
    j = 8.5
    ### Answer: j = 8.5

Expected answer: 17/2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for n, first subtract 56 from both sides of the equation to get:

    0 = 82 - 4n - 56

    Simplify the right side to get:

    0 = 26 - 4n

    Now, add 4n to both sides to isolate the term with n:

    4n = 26

    Finally, divide both sides by 4 to get:

    n = 26 / 4
    n = 6.5
    ### Answer: n = 6.5

Expected answer: 13/2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for m, we need to isolate it on one side of the equation. We can do this by following the order of operations in reverse:

    First, divide both sides of the equation by 60:
    77 / 60 = (14 + 60 * m) / 60
    0.6166666666666667 = 14 / 60 + m

    Next, subtract 14/60 from both sides:
    0.6166666666666667 - 14 / 60 = m

    Simplify the left side:
    m = 0.6166666666666667 - 0.23333333333333334

    Combine the fractions:
    m = 0.38333333333333335

    Since this is a linear equation, there is only one solution.
    ### Answer: m = 0.38333333333333335 or m ≈ 0.38 (rounded to two decimal places)

Expected answer: 21/20

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for 'e', we need to isolate it on one side of the equation. We can do this by subtracting 17 from both sides of the equation.

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

Expected answer: 14

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for x, first subtract 81 from both sides of the equation:

    2 - 81 = -79 = 81 - (15 * x) - 81
    -79 = -15 * x
    x = -79 / -15
    x = 5.26666666667 (rounded to 8 decimal places)
    ### Answer: 5.26666667 (when rounded to 8 decimal places)

Expected answer: 79/15

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate e, we first subtract 88 from both sides of the equation:
    177 - 88 = 6e
    89 = 6e
    Now, divide both sides by 6 to solve for e:
    89 / 6 = e
    ### Answer: e = 14.83333333333 (rounded to two decimal places, e = 14.83)

Expected answer: 89/6

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate r, we first subtract 15 from both sides of the equation:

    95 - 15 = 3*r
    80 = 3*r

    Then, we divide both sides by 3:

    80 / 3 = r

    ### Answer: r = 80 / 3 or approximately 26.67, when rounded to two decimal places.

Expected answer: 80/3

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for the value of v, we first need to isolate v. We can do this by following these steps:

    1. Subtract 70 from both sides of the equation: 154 - 70 = 70 + (31 \* v) - 70
    2. Simplify the left side: 84 = 31 \* v
    3. Divide both sides by 31: 84 / 31 = (31 \* v) / 31
    4. Simplify the right side: 84 / 31 = v

    ### Answer: v = 2.71 (rounded to two decimal places)

Expected answer: 84/31

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for r, we first subtract 87 from both sides of the equation:

    179 - 87 = 9

Expected answer: 46/35

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate r, we first need to get rid of the 2 on the left side of the equation. We can do this by subtracting 2 from both sides of the equation. This gives us:

    93 - 2 = (19 * r) + 2 - 2
    91 = 19 * r

    Next, we can solve for r by dividing both sides of the equation by 19:

    91 / 19 = (19 * r) / 19
    5 = r

    ### Answer: r = 5

Expected answer: 91/19

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for z, we first need to isolate it. We can do this by following the order of operations and undoing each step one at a time.

    1. Undo the subtraction by adding 37z to both sides:

    20 + 37z = 67

    2. Undo the addition by subtracting 20 from both sides:

    37z = 47

    3. Undo the multiplication by dividing both sides by 37:

    z = 47 / 37

    ### Answer: z = 1.27 (rounded to two decimal places)

Expected answer: 47/37

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for m, we first subtract 15 from both sides of the equation:

    65 - 15 = 25 * m
    50 = 25 * m

    Next, we divide both sides by 25:

    50 / 25 = 25 * m / 25
    2 = m

    ### Answer: m = 2

Expected answer: 2

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for g, we first subtract 19 from both sides of the equation:

    79 - 19 = 6g
    60 = 6g

    Then, we divide both sides by 6 to isolate g:

    60 / 6 = g
    g = 10

Expected answer: 10

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for 'l', we first add 45 to both sides of the equation:

    30 + 45 = 56*l - 45 + 45
    75 = 56*l

    Next, we divide both sides by 56:

    75 / 56 = (56*l) / 56
    1.375 = l

    ### Answer: l = 1.375

Expected answer: 75/56

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate j, we first subtract 4 from both sides of the equation:
    57 - 4 = 11 * j
    53 = 11 * j
    Then divide both sides by 11:
    j = 53 / 11
    j = 4.81818181818 (rounded to 8 decimal places)
    ### Answer: j = 4.81818181818

Expected answer: 53/11

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate f, first add 56 to both sides of the equation:
    36 + 56 = 34 * f - 56 + 56
    92 = 34 * f
    Now, divide both sides by 34:
    92 / 34 = (34 * f) / 34
    f = 2.705882353 (rounded to 8 decimal places)
    ### Answer: f = 2.705882353

Expected answer: 46/17

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for the value of 'u' in the equation 56 = (70 * u) - 43, first add 43 to both sides of the equation:

    56 + 43 = (70 * u) - 43 + 43
    99 = 70 * u

    Next, divide both sides of the equation by 70:

    99 / 70 = (70 * u) / 70
    1.41428571429 = u

    Rounding to two decimal places, the solution is:

    ### Answer: u ≈ 1.41

    (Note: The exact solution is the repeating decimal 1.41428571429, but it is often more useful to give an approximate solution when working with decimal values.)

Expected answer: 99/70

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for x, we first need to isolate it on one side of the equation. We can do this by following the order of operations (PEMDAS/BODMAS) and working backwards.

    First, subtract 21 from both sides of the equation:
    67 - 21 = 21 + 9x - 21
    46 = 9x

    Next, divide both sides of the equation by 9:
    46 / 9 = 9x / 9
    x = 46 / 9

    So, x is approximately equal to 5.11 (when rounded to two decimal places).
    ### Answer: x ≈ 5.11

Expected answer: 46/9

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To find the value of the variable "i", we need to isolate it. We can do this by following the order of operations (PEMDAS/BODMAS) and working backwards.

    First, subtract 58 from both sides of the equation:

    75 - 58 = 58 + 16 * i - 58
    17 = 16 * i

    Next, divide both sides by 16:

    17 / 16 = (16 * i) / 16
    17 / 16 = i

    ### Answer: i = 17 / 16 = 1.0625

Expected answer: 17/16

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: First, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMDAS.

    So, we first solve the expression in the innermost parentheses: 39 \* x.

    Then, we add the result to 54.

    Finally, we check if the result is equal to 111. If not, we adjust x until it does.

    39 \* x = y (let's call the result y for now)

    54 + y = 111

    y = 111 - 54

    y = 57

    So, 39 \* x = 57

    x = 57 / 39

    x = 1.46153846154 (rounded to 11 decimal places)

    However, since x has to be a whole number of clips Natalia sold, we need to round it to the nearest whole number. Since 1.46 is closer to 1 than to 2, we round down to x = 1.

    ### Answer: x = 1

Expected answer: 19/13

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate the variable 'o', we first need to get rid of the parentheses by distributing the 1 to the terms inside the parentheses.

    155 = 26o + 68

    Next, we subtract 68 from both sides of the equation to isolate the term with 'o'.

    155 - 68 = 26o
    87 = 26o

    Finally, we divide both sides of the equation by 26 to solve for 'o'.

    87 / 26 = o
    o = 3.34615384615

    ### Answer: o = 3.34615384615 (rounded to 12 decimal places)

Expected answer: 87/26

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for p, we first add 17 to both sides of the equation:
    7 + 17 = ((12 \* p) - 17) + 17
    24 = 12 \* p
    Then, we divide both sides by 12:
    24 / 12 = (12 \* p) / 12
    p = 2
    ### Answer: p = 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?

Mixtral 8x7B:

     Reasoning: To isolate the variable 'b', we first need to perform the multiplication operation.
    Then, we will subtract 93 from both sides of the equation.

    163 = 93 + 55 * b
    163 - 93 = 55 * b
    70 = 55 * b

    Now, divide both sides by 55 to get the value of 'b'.

    b = 70 / 55
    b = 1.27272727273 (rounded to 15 decimal places)

    However, if 'b' represents a whole number of clips or items sold, it should be a whole number. In this case, the equation may have been rounded or approximated. If we round the result to the nearest whole number, the value of 'b' would be 1.
    ### Answer: b ≈ 1.27 (rounded to 2 decimal places), or b = 1 (rounded to the nearest whole number)

Expected answer: 14/11

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for the value of 'u', we need to isolate 'u' on one side of the equation. We can do this by adding 26 to both sides of the equation.
    62 + 26 = (u - 26) + 26

    This simplifies to:
    98 = u
    ### Answer: u = 98

Expected answer: 88

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for the variable a, we first need to isolate it on one side of the equation. We can do this by following these steps:

    1. Subtract 93 from both sides of the equation: 179 - 93 = 86, so 86 = 63 * a
    2. Divide both sides by 63: 86 / 63 = (63 * a) / 63, so 86/63 = a

    However, 86/63 is an improper fraction, so we should simplify it to a mixed number: 86/63 = 1 23/63.

    ### Answer: a = 1 23/63 or a = 1.36507936508 (rounded to 11 decimal places)

Expected answer: 86/63

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of c, we need to isolate c in the equation.

    51 = (27 * c) - 11

    First, add 11 to both sides of the equation:

    51 + 11 = (27 * c) - 11 + 11
    62 = 27 * c

    Next, divide both sides by 27:

    62 / 27 = (27 * c) / 27
    62 / 27 = c

    ### Answer: c = 62 / 27 = 2.2962962963 (rounded to 8 decimal places)

Expected answer: 62/27

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate 'd', we first add 18 to both sides of the equation:

    19 + 18 = (28 * d) - 18 + 18
    37 = 28 * d

    Next, we divide both sides by 28:

    37 / 28 = (28 * d) / 28
    37 / 28 = d

    ### Answer: d = 37/28

Expected answer: 37/28

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for e, we first subtract 62 from both sides of the equation:

    159 - 62 = 47 * e
    97 = 47 * e

    Then, we divide both sides by 47 to solve for e:

    97 / 47 = e
    e = 2
    ### Answer: e = 2

Expected answer: 97/47

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for g, we first need to isolate g. We can do this by following the order of operations and working from the inside out.

    145 = 50 + (91 * g)

    Subtract 50 from both sides:

    145 - 50 = 91 * g

    95 = 91 * g

    Now, divide both sides by 91 to solve for g:

    g = 95 / 91

    g ≈ 1.044
    ### Answer: g ≈ 1.044

Expected answer: 95/91

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To solve for l, we first subtract 73 from both sides of the equation:

    123 - 73 = 44*l

Expected answer: 25/22

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To find the value of q, we need to isolate it in the equation.

    165 - 75 = (19 \* q)
    90 = 19 \* q
    q = 90 / 19
    q = 4.736842105263158 (rounded to 8 decimal places)

    ### Answer: q = 4.73684211 (when rounded to 9 decimal places)

Expected answer: 90/19

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate g, we first subtract 62 from both sides of the equation:

    149 - 62 = 18g
    87 = 18g

    Then, we divide both sides by 18:

    87 / 18 = g
    g = 4.83333333333
    ### Answer: g = 4.83333333333 (rounded to 11 decimal places)

Expected answer: 29/6

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for d, we first want to isolate the term with d on one side of the equation. We can do this by subtracting 21 from both sides:

    84 - 21 = 20 * d
    63 = 20 * d

    Next, we want to solve for d, so we will divide both sides of the equation by 20:

    63 / 20 = d

    The result is a decimal, so we can leave the answer as a fraction or round to the nearest whole number:

    ### Answer: d = 3.15 (or d ≈ 3 when rounded to the nearest whole number)

Expected answer: 63/20

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     Reasoning: To isolate g, first subtract 50 from both sides of the equation:

    61 - 50 = 50 + (6 * g) - 50
    11 = 6 * g

    Then divide both sides by 6:

    11 / 6 = (6 * g) / 6
    11 / 6 = g

    ### Answer: g = 11 / 6 or approximately 1.83 (when rounded to two decimal places)

Expected answer: 11/6

Correct? Yes

🔗 Problem

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

Mixtral 8x7B:

     To solve for the variable v, we first subtract 76 from both sides of the equation:

    126 - 76 = 21v
    49 = 21v

    Next, we divide both sides of the equation by 21 to isolate v:

    49 / 21 = v
    v = 2.33333333333

    ### Answer: v = 2.33333333333 (rounded to 11 decimal places)

Expected answer: 50/21

Correct? No

🔗 Problem

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

Mixtral 8x7B:

     To solve for g, we first add 24 to both sides of the equation:
    74 + 24 = (91 * g) - 24 + 24
    198 = 91 * g

    Next, we divide both sides by 91:
    198 / 91 = (91 * g) / 91
    2.1736 = g

    However, since we want to express g as a whole number, we can round the decimal to the nearest whole number. In this case, g is approximately equal to 2.
    ### Answer: g ≈ 2

Expected answer: 14/13

Correct? No