Solve -36divlfloor-8div(-5+3)+12div(-2+2-4)rfloor+3*(-8)+(-3)*(-12+5*2)+12div(-3*4+4*2)

$$-36 \div \lfloor -8 \div (-5+3)+12 \div (-2+2-4) \rfloor +3 \times (-8)+(-3) \times (-12+5 \times 2)+12 \div (-3 \times 4+4 \times 2)$$

Evaluate

$$-57$$

Solution Steps

Add -5 and 3 to get -2.

$$\frac{-36}{\lfloor \frac{-8}{-2}+\frac{12}{-2+2-4}\rfloor }+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Divide -8 by -2 to get 4.

$$\frac{-36}{\lfloor 4+\frac{12}{-2+2-4}\rfloor }+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Add -2 and 2 to get 0.

$$\frac{-36}{\lfloor 4+\frac{12}{-4}\rfloor }+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Divide 12 by -4 to get -3.

$$\frac{-36}{\lfloor 4-3\rfloor }+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Subtract 3 from 4 to get 1.

$$\frac{-36}{\lfloor 1\rfloor }+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 1 is 1.

$$\frac{-36}{1}+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Anything divided by one gives itself.

$$-36+3\left(-8\right)-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Multiply 3 and -8 to get -24.

$$-36-24-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Subtract 24 from -36 to get -60.

$$-60-3\left(-12+5\times 2\right)+\frac{12}{-3\times 4+4\times 2}$$

Multiply 5 and 2 to get 10.

$$-60-3\left(-12+10\right)+\frac{12}{-3\times 4+4\times 2}$$

Add -12 and 10 to get -2.

$$-60-3\left(-2\right)+\frac{12}{-3\times 4+4\times 2}$$

Multiply -3 and -2 to get 6.

$$-60+6+\frac{12}{-3\times 4+4\times 2}$$

Add -60 and 6 to get -54.

$$-54+\frac{12}{-3\times 4+4\times 2}$$

Multiply -3 and 4 to get -12. Multiply 4 and 2 to get 8.

$$-54+\frac{12}{-12+8}$$

Add -12 and 8 to get -4.

$$-54+\frac{12}{-4}$$

Divide 12 by -4 to get -3.

$$-54-3$$

Subtract 3 from -54 to get -57.

$$-57$$

Factor

$$-57$$