Solve 74+[91-(52-69)]-[9-7*(-5)-(-4)^3-(-5)^3]

$$74 + [ 91 - ( 52 - 69 ) ] - [ 9 - 7 \cdot ( - 5 ) - ( - 4 ) ^ { 3 } - ( - 5 ) ^ { 3 } ]$$

Evaluate

$$-51$$

Solution Steps

Subtract 69 from 52 to get -17.

$$74+91-\left(-17\right)-\left(9-7\left(-5\right)-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

The opposite of -17 is 17.

$$74+91+17-\left(9-7\left(-5\right)-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

Add 91 and 17 to get 108.

$$74+108-\left(9-7\left(-5\right)-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

Add 74 and 108 to get 182.

$$182-\left(9-7\left(-5\right)-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

Multiply 7 and -5 to get -35.

$$182-\left(9-\left(-35\right)-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

The opposite of -35 is 35.

$$182-\left(9+35-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

Add 9 and 35 to get 44.

$$182-\left(44-\left(-4\right)^{3}-\left(-5\right)^{3}\right)$$

Calculate -4 to the power of 3 and get -64.

$$182-\left(44-\left(-64\right)-\left(-5\right)^{3}\right)$$

The opposite of -64 is 64.

$$182-\left(44+64-\left(-5\right)^{3}\right)$$

Add 44 and 64 to get 108.

$$182-\left(108-\left(-5\right)^{3}\right)$$

Calculate -5 to the power of 3 and get -125.

$$182-\left(108-\left(-125\right)\right)$$

The opposite of -125 is 125.

$$182-\left(108+125\right)$$

Add 108 and 125 to get 233.

$$182-233$$

Subtract 233 from 182 to get -51.

$$-51$$

Factor

$$-51$$