Solve -15:(-2)(-4)*[5*(-3+(-5))]+(-3)*(5-50)

$$- 15 : ( - 2 ) ( - 4 ) \cdot [ 5 \cdot ( - 3 + ( - 5 ) ) ] + ( - 3 ) \cdot ( 5 - 50 )$$

Evaluate

$$1335$$

Solution Steps

Fraction \frac{-15}{-2} can be simplified to \frac{15}{2} by removing the negative sign from both the numerator and the denominator.

$$\frac{15}{2}\left(-4\right)\times 5\left(-3-5\right)-3\left(5-50\right)$$

Express \frac{15}{2}\left(-4\right) as a single fraction.

$$\frac{15\left(-4\right)}{2}\times 5\left(-3-5\right)-3\left(5-50\right)$$

Multiply 15 and -4 to get -60.

$$\frac{-60}{2}\times 5\left(-3-5\right)-3\left(5-50\right)$$

Divide -60 by 2 to get -30.

$$-30\times 5\left(-3-5\right)-3\left(5-50\right)$$

Multiply -30 and 5 to get -150.

$$-150\left(-3-5\right)-3\left(5-50\right)$$

Subtract 5 from -3 to get -8.

$$-150\left(-8\right)-3\left(5-50\right)$$

Multiply -150 and -8 to get 1200.

$$1200-3\left(5-50\right)$$

Subtract 50 from 5 to get -45.

$$1200-3\left(-45\right)$$

Multiply -3 and -45 to get 135.

$$1200+135$$

Add 1200 and 135 to get 1335.

$$1335$$

Factor

$$3\times 5\times 89$$