Solve {l}{[-7*(-9+12)-(-8)*(6-2)+13]:[(-8+12)*(8-5)]}{[6*(-4)*(-2)+(-2)*(-3)*(-7)]*(-5)*(-1)}

$$\left. \begin{array} { l } { [ - 7 \cdot ( - 9 + 12 ) - ( - 8 ) \cdot ( 6 - 2 ) + 13 ] : [ ( - 8 + 12 ) \cdot ( 8 - 5 ) ] } \\ { [ 6 \cdot ( - 4 ) \cdot ( - 2 ) + ( - 2 ) \cdot ( - 3 ) \cdot ( - 7 ) ] \cdot ( - 5 ) \cdot ( - 1 ) } \end{array} \right.$$

Sort

$$2,\ 30$$

Solution Steps

Add -9 and 12 to get 3.

$$sort(\frac{-7\times 3-\left(-8\left(6-2\right)\right)+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply -7 and 3 to get -21.

$$sort(\frac{-21-\left(-8\left(6-2\right)\right)+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Subtract 2 from 6 to get 4.

$$sort(\frac{-21-\left(-8\times 4\right)+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply -8 and 4 to get -32.

$$sort(\frac{-21-\left(-32\right)+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

The opposite of -32 is 32.

$$sort(\frac{-21+32+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Add -21 and 32 to get 11.

$$sort(\frac{11+13}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Add 11 and 13 to get 24.

$$sort(\frac{24}{\left(-8+12\right)\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Add -8 and 12 to get 4.

$$sort(\frac{24}{4\left(8-5\right)},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Subtract 5 from 8 to get 3.

$$sort(\frac{24}{4\times 3},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply 4 and 3 to get 12.

$$sort(\frac{24}{12},\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Divide 24 by 12 to get 2.

$$sort(2,\left(6\left(-4\right)\left(-2\right)-2\left(-3\right)\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply 6 and -4 to get -24. Multiply -2 and -3 to get 6.

$$sort(2,\left(-24\left(-2\right)+6\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply -24 and -2 to get 48.

$$sort(2,\left(48+6\left(-7\right)\right)\left(-5\right)\left(-1\right))$$

Multiply 6 and -7 to get -42.

$$sort(2,\left(48-42\right)\left(-5\right)\left(-1\right))$$

Subtract 42 from 48 to get 6.

$$sort(2,6\left(-5\right)\left(-1\right))$$

Multiply 6 and -5 to get -30.

$$sort(2,-30\left(-1\right))$$

Multiply -30 and -1 to get 30.

$$sort(2,30)$$

The list values are already in order.

$$2,30$$

Evaluate

$$2,\ 30$$