Solve -1-[-3-(-22-13+42+27)*(25-43+35)]:5

$$- 1 - [ - 3 - ( - 22 - 13 + 42 + 27 ) \cdot ( 25 - 43 + 35 ) ] : 5$$

Evaluate

$$\frac{576}{5}=115.2$$

Solution Steps

Subtract 13 from -22 to get -35.

$$-1-\frac{-3-\left(-35+42+27\right)\left(25-43+35\right)}{5}$$

Add -35 and 42 to get 7.

$$-1-\frac{-3-\left(7+27\right)\left(25-43+35\right)}{5}$$

Add 7 and 27 to get 34.

$$-1-\frac{-3-34\left(25-43+35\right)}{5}$$

Subtract 43 from 25 to get -18.

$$-1-\frac{-3-34\left(-18+35\right)}{5}$$

Add -18 and 35 to get 17.

$$-1-\frac{-3-34\times 17}{5}$$

Multiply 34 and 17 to get 578.

$$-1-\frac{-3-578}{5}$$

Subtract 578 from -3 to get -581.

$$-1-\frac{-581}{5}$$

Fraction \frac{-581}{5} can be rewritten as -\frac{581}{5} by extracting the negative sign.

$$-1-\left(-\frac{581}{5}\right)$$

The opposite of -\frac{581}{5} is \frac{581}{5}.

$$-1+\frac{581}{5}$$

Convert -1 to fraction -\frac{5}{5}.

$$-\frac{5}{5}+\frac{581}{5}$$

Since -\frac{5}{5} and \frac{581}{5} have the same denominator, add them by adding their numerators.

$$\frac{-5+581}{5}$$

Add -5 and 581 to get 576.

$$\frac{576}{5}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{5} = 115\frac{1}{5} = 115.2$$