Solve [(-1)*(+6)*(-14)+(-11)*(+4)]:[(+12):(-3)]-[(-4)*(-36)-24]:(-15)

$$[ ( - 1 ) \cdot ( + 6 ) \cdot ( - 14 ) + ( - 11 ) \cdot ( + 4 ) ] : [ ( + 12 ) : ( - 3 ) ] - [ ( - 4 ) \cdot ( - 36 ) - 24 ] : ( - 15 )$$

Evaluate

$$-2$$

Solution Steps

Multiply -1 and 6 to get -6. Multiply -11 and 4 to get -44.

$$\frac{-6\left(-14\right)-44}{\frac{12}{-3}}-\frac{-4\left(-36\right)-24}{-15}$$

Multiply -6 and -14 to get 84.

$$\frac{84-44}{\frac{12}{-3}}-\frac{-4\left(-36\right)-24}{-15}$$

Subtract 44 from 84 to get 40.

$$\frac{40}{\frac{12}{-3}}-\frac{-4\left(-36\right)-24}{-15}$$

Divide 12 by -3 to get -4.

$$\frac{40}{-4}-\frac{-4\left(-36\right)-24}{-15}$$

Divide 40 by -4 to get -10.

$$-10-\frac{-4\left(-36\right)-24}{-15}$$

Multiply -4 and -36 to get 144.

$$-10-\frac{144-24}{-15}$$

Subtract 24 from 144 to get 120.

$$-10-\frac{120}{-15}$$

Divide 120 by -15 to get -8.

$$-10-\left(-8\right)$$

The opposite of -8 is 8.

$$-10+8$$

Add -10 and 8 to get -2.

$$-2$$

Factor

$$-2$$