Solve [-(54+22-33)-2(39+53)][(37-54)-10]

$$[ - ( 54 + 22 - 33 ) - 2 ( 39 + 53 ) ] [ ( 37 - 54 ) - 10 ]$$

Evaluate

$$6129$$

Solution Steps

Add 54 and 22 to get 76.

$$\left(-\left(76-33\right)-2\left(39+53\right)\right)\left(37-54-10\right)$$

Subtract 33 from 76 to get 43.

$$\left(-43-2\left(39+53\right)\right)\left(37-54-10\right)$$

Add 39 and 53 to get 92.

$$\left(-43-2\times 92\right)\left(37-54-10\right)$$

Multiply 2 and 92 to get 184.

$$\left(-43-184\right)\left(37-54-10\right)$$

Subtract 184 from -43 to get -227.

$$-227\left(37-54-10\right)$$

Subtract 54 from 37 to get -17.

$$-227\left(-17-10\right)$$

Subtract 10 from -17 to get -27.

$$-227\left(-27\right)$$

Multiply -227 and -27 to get 6129.

$$6129$$

Factor

$$3^{3}\times 227$$