Solve {l}{[+3-(10-5+25)]*[-16+5-(-2-14)]:(9+6)}{20:(+15-5)-30:(-10+5)+40*(15-20)}

$$\left. \begin{array} { l } { [ + 3 - ( 10 - 5 + 25 ) ] \cdot [ - 16 + 5 - ( - 2 - 14 ) ] : ( 9 + 6 ) } \\ { 20 : ( + 15 - 5 ) - 30 : ( - 10 + 5 ) + 40 \cdot ( 15 - 20 ) } \end{array} \right.$$

Sort

$$-192,-9$$

Solution Steps

Subtract 5 from 10 to get 5.

$$sort(\frac{\left(3-\left(5+25\right)\right)\left(-16+5-\left(-2-14\right)\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Add 5 and 25 to get 30.

$$sort(\frac{\left(3-30\right)\left(-16+5-\left(-2-14\right)\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Subtract 30 from 3 to get -27.

$$sort(\frac{-27\left(-16+5-\left(-2-14\right)\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Add -16 and 5 to get -11.

$$sort(\frac{-27\left(-11-\left(-2-14\right)\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Subtract 14 from -2 to get -16.

$$sort(\frac{-27\left(-11-\left(-16\right)\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

The opposite of -16 is 16.

$$sort(\frac{-27\left(-11+16\right)}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Add -11 and 16 to get 5.

$$sort(\frac{-27\times 5}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Multiply -27 and 5 to get -135.

$$sort(\frac{-135}{9+6},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Add 9 and 6 to get 15.

$$sort(\frac{-135}{15},\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Divide -135 by 15 to get -9.

$$sort(-9,\frac{20}{15-5}-\frac{30}{-10+5}+40\left(15-20\right))$$

Subtract 5 from 15 to get 10.

$$sort(-9,\frac{20}{10}-\frac{30}{-10+5}+40\left(15-20\right))$$

Divide 20 by 10 to get 2.

$$sort(-9,2-\frac{30}{-10+5}+40\left(15-20\right))$$

Add -10 and 5 to get -5.

$$sort(-9,2-\frac{30}{-5}+40\left(15-20\right))$$

Divide 30 by -5 to get -6.

$$sort(-9,2-\left(-6\right)+40\left(15-20\right))$$

The opposite of -6 is 6.

$$sort(-9,2+6+40\left(15-20\right))$$

Add 2 and 6 to get 8.

$$sort(-9,8+40\left(15-20\right))$$

Subtract 20 from 15 to get -5.

$$sort(-9,8+40\left(-5\right))$$

Multiply 40 and -5 to get -200.

$$sort(-9,8-200)$$

Subtract 200 from 8 to get -192.

$$sort(-9,-192)$$

To sort the list, start from a single element -9.

$$-9$$

Insert -192 to the appropriate location in the new list.

$$-192,-9$$

Evaluate

$$-9,\ -192$$