Solve -7[3+4(5-70-3)-5(8-4-5)]-27

$$- 7 [ 3 + 4 ( 5 - 70 - 3 ) - 5 ( 8 - 4 - 5 ) ] - 27$$

Evaluate

$$1821$$

Solution Steps

Subtract 70 from 5 to get -65.

$$-7\left(3+4\left(-65-3\right)-5\left(8-4-5\right)\right)-27$$

Subtract 3 from -65 to get -68.

$$-7\left(3+4\left(-68\right)-5\left(8-4-5\right)\right)-27$$

Multiply 4 and -68 to get -272.

$$-7\left(3-272-5\left(8-4-5\right)\right)-27$$

Subtract 272 from 3 to get -269.

$$-7\left(-269-5\left(8-4-5\right)\right)-27$$

Subtract 4 from 8 to get 4.

$$-7\left(-269-5\left(4-5\right)\right)-27$$

Subtract 5 from 4 to get -1.

$$-7\left(-269-5\left(-1\right)\right)-27$$

Multiply 5 and -1 to get -5.

$$-7\left(-269-\left(-5\right)\right)-27$$

The opposite of -5 is 5.

$$-7\left(-269+5\right)-27$$

Add -269 and 5 to get -264.

$$-7\left(-264\right)-27$$

Multiply -7 and -264 to get 1848.

$$1848-27$$

Subtract 27 from 1848 to get 1821.

$$1821$$

Factor

$$3\times 607$$