Solve {l}{{-[-(2-5)*(-8+6)-(-13+15)]*(-7-3)-(-5-3)*(6+3)}*(-3+4)+6}{-35:(9-2)-{-(18-3):(-5)-[-12+(7-9)]:(-7)-8*(-16+18)}:(-5)+3}

$$\left. \begin{array} { l } { \{ - [ - ( 2 - 5 ) \cdot ( - 8 + 6 ) - ( - 13 + 15 ) ] \cdot ( - 7 - 3 ) - ( - 5 - 3 ) \cdot ( 6 + 3 ) \} \cdot ( - 3 + 4 ) + 6 } \\ { - 35 : ( 9 - 2 ) - \{ - ( 18 - 3 ) : ( - 5 ) - [ - 12 + ( 7 - 9 ) ] : ( - 7 ) - 8 \cdot ( - 16 + 18 ) \} : ( - 5 ) + 3 } \end{array} \right.$$

Evaluate

$$-7$$

Solution Steps

Subtract 5 from 2 to get -3.

$$\left(\left(-\left(\left(-\left(-3\right)\right)\left(-8+6\right)-\left(-13+15\right)\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

The opposite of -3 is 3.

$$\left(\left(-\left(3\left(-8+6\right)-\left(-13+15\right)\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -8 and 6 to get -2.

$$\left(\left(-\left(3\left(-2\right)-\left(-13+15\right)\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Multiply 3 and -2 to get -6.

$$\left(\left(-\left(-6-\left(-13+15\right)\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -13 and 15 to get 2.

$$\left(\left(-\left(-6-2\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 2 from -6 to get -8.

$$\left(\left(-\left(-8\right)\right)\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

The opposite of -8 is 8.

$$\left(8\left(-7-3\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 3 from -7 to get -10.

$$\left(8\left(-10\right)-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Multiply 8 and -10 to get -80.

$$\left(-80-\left(-5-3\right)\left(6+3\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 3 from -5 to get -8.

$$\left(-80-\left(-8\left(6+3\right)\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add 6 and 3 to get 9.

$$\left(-80-\left(-8\times 9\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Multiply -8 and 9 to get -72.

$$\left(-80-\left(-72\right)\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

The opposite of -72 is 72.

$$\left(-80+72\right)\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -80 and 72 to get -8.

$$-8\left(-3+4\right)+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -3 and 4 to get 1.

$$-8+6-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -8 and 6 to get -2.

$$-2-\frac{35}{9-2}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 2 from 9 to get 7.

$$-2-\frac{35}{7}-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Divide 35 by 7 to get 5.

$$-2-5-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 5 from -2 to get -7.

$$-7-\frac{\frac{-\left(18-3\right)}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 3 from 18 to get 15.

$$-7-\frac{\frac{-15}{-5}-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Divide -15 by -5 to get 3.

$$-7-\frac{3-\frac{-12+7-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Add -12 and 7 to get -5.

$$-7-\frac{3-\frac{-5-9}{-7}-8\left(-16+18\right)}{-5}+3$$

Subtract 9 from -5 to get -14.

$$-7-\frac{3-\frac{-14}{-7}-8\left(-16+18\right)}{-5}+3$$

Divide -14 by -7 to get 2.

$$-7-\frac{3-2-8\left(-16+18\right)}{-5}+3$$

Subtract 2 from 3 to get 1.

$$-7-\frac{1-8\left(-16+18\right)}{-5}+3$$

Add -16 and 18 to get 2.

$$-7-\frac{1-8\times 2}{-5}+3$$

Multiply 8 and 2 to get 16.

$$-7-\frac{1-16}{-5}+3$$

Subtract 16 from 1 to get -15.

$$-7-\frac{-15}{-5}+3$$

Divide -15 by -5 to get 3.

$$-7-3+3$$

Subtract 3 from -7 to get -10.

$$-10+3$$

Add -10 and 3 to get -7.

$$-7$$

Factor

$$-7$$