Solve (-15+55):(-8+3)+sqrt[3]{(-8+2)^3+(-8)*37}-1-(-3)^6

$$( - 15 + 55 ) : ( - 8 + 3 ) + \sqrt[ 3 ] { ( - 8 + 2 ) ^ { 3 } + ( - 8 ) \cdot 37 } - 1 - ( - 3 ) ^ { 6 }$$

Evaluate

$$-746$$

Solution Steps

Add -15 and 55 to get 40.

$$\frac{40}{-8+3}+\sqrt[3]{\left(-8+2\right)^{3}-8\times 37}-1-\left(-3\right)^{6}$$

Add -8 and 3 to get -5.

$$\frac{40}{-5}+\sqrt[3]{\left(-8+2\right)^{3}-8\times 37}-1-\left(-3\right)^{6}$$

Divide 40 by -5 to get -8.

$$-8+\sqrt[3]{\left(-8+2\right)^{3}-8\times 37}-1-\left(-3\right)^{6}$$

Add -8 and 2 to get -6.

$$-8+\sqrt[3]{\left(-6\right)^{3}-8\times 37}-1-\left(-3\right)^{6}$$

Calculate -6 to the power of 3 and get -216.

$$-8+\sqrt[3]{-216-8\times 37}-1-\left(-3\right)^{6}$$

Multiply -8 and 37 to get -296.

$$-8+\sqrt[3]{-216-296}-1-\left(-3\right)^{6}$$

Subtract 296 from -216 to get -512.

$$-8+\sqrt[3]{-512}-1-\left(-3\right)^{6}$$

Calculate \sqrt[3]{-512} and get -8.

$$-8-8-1-\left(-3\right)^{6}$$

Subtract 8 from -8 to get -16.

$$-16-1-\left(-3\right)^{6}$$

Subtract 1 from -16 to get -17.

$$-17-\left(-3\right)^{6}$$

Calculate -3 to the power of 6 and get 729.

$$-17-729$$

Subtract 729 from -17 to get -746.

$$-746$$

Factor

$$-746$$