Solve {l}{[(-90):(-6)]*5-[(-90)(-6)]:5}{[6:(-5)]*10+2(-3)(-4)+6(-2)}

$$\left. \begin{array} { l } { [ ( - 90 ) : ( - 6 ) ] \cdot 5 - [ ( - 90 ) ( - 6 ) ] : 5 } \\ { [ 6 : ( - 5 ) ] \cdot 10 + 2 ( - 3 ) ( - 4 ) + 6 ( - 2 ) } \end{array} \right.$$

Sort

$$-33,\ 0$$

Solution Steps

Divide -90 by -6 to get 15.

$$sort(15\times 5-\frac{-90\left(-6\right)}{5},\frac{6}{-5}\times 10+2\left(-3\right)\left(-4\right)+6\left(-2\right))$$

Multiply 15 and 5 to get 75.

$$sort(75-\frac{-90\left(-6\right)}{5},\frac{6}{-5}\times 10+2\left(-3\right)\left(-4\right)+6\left(-2\right))$$

Multiply -90 and -6 to get 540.

$$sort(75-\frac{540}{5},\frac{6}{-5}\times 10+2\left(-3\right)\left(-4\right)+6\left(-2\right))$$

Divide 540 by 5 to get 108.

$$sort(75-108,\frac{6}{-5}\times 10+2\left(-3\right)\left(-4\right)+6\left(-2\right))$$

Subtract 108 from 75 to get -33.

$$sort(-33,\frac{6}{-5}\times 10+2\left(-3\right)\left(-4\right)+6\left(-2\right))$$

Multiply 2 and -3 to get -6. Multiply 6 and -2 to get -12.

$$sort(-33,\frac{6}{-5}\times 10-6\left(-4\right)-12)$$

Fraction \frac{6}{-5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$sort(-33,-\frac{6}{5}\times 10-6\left(-4\right)-12)$$

Express -\frac{6}{5}\times 10 as a single fraction.

$$sort(-33,\frac{-6\times 10}{5}-6\left(-4\right)-12)$$

Multiply -6 and 10 to get -60.

$$sort(-33,\frac{-60}{5}-6\left(-4\right)-12)$$

Divide -60 by 5 to get -12.

$$sort(-33,-12-6\left(-4\right)-12)$$

Multiply -6 and -4 to get 24.

$$sort(-33,-12+24-12)$$

Add -12 and 24 to get 12.

$$sort(-33,12-12)$$

Subtract 12 from 12 to get 0.

$$sort(-33,0)$$

The list values are already in order.

$$-33,0$$

Evaluate

$$-33,\ 0$$