Solve {l}{6:(-8:(-5+3)+12:(-2+2*4))+3*(-8)+3*(-12+5*2)}{-36:(-8:-2+12:(-2+8))+3*(-8)+3*(-12+5*2)}

$$\left. \begin{array} { l } { 6 : ( - 8 : ( - 5 + 3 ) + 12 : ( - 2 + 2 \cdot 4 ) ) + 3 \cdot ( - 8 ) + 3 \cdot ( - 12 + 5 \cdot 2 ) } \\ { - 36 : ( - 8 : - 2 + 12 : ( - 2 + 8 ) ) + 3 \cdot ( - 8 ) + 3 \cdot ( - 12 + 5 \cdot 2 ) } \end{array} \right.$$

Evaluate

$$-65$$

Solution Steps

Multiply 3 and -8 to get -24. Multiply 3 and -8 to get -24.

$$\frac{6}{\frac{-8}{-5+3}+\frac{12}{-2+2\times 4}}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Add -5 and 3 to get -2.

$$\frac{6}{\frac{-8}{-2}+\frac{12}{-2+2\times 4}}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Divide -8 by -2 to get 4.

$$\frac{6}{4+\frac{12}{-2+2\times 4}}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Multiply 2 and 4 to get 8.

$$\frac{6}{4+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Add -2 and 8 to get 6.

$$\frac{6}{4+\frac{12}{6}}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Divide 12 by 6 to get 2.

$$\frac{6}{4+2}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Add 4 and 2 to get 6.

$$\frac{6}{6}-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Divide 6 by 6 to get 1.

$$1-24+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Subtract 24 from 1 to get -23.

$$-23+3\left(-12+5\times 2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Multiply 5 and 2 to get 10.

$$-23+3\left(-12+10\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Add -12 and 10 to get -2.

$$-23+3\left(-2\right)-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Multiply 3 and -2 to get -6.

$$-23-6-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Subtract 6 from -23 to get -29.

$$-29-\frac{36}{\frac{-8}{-2}+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Divide -8 by -2 to get 4.

$$-29-\frac{36}{4+\frac{12}{-2+8}}-24+3\left(-12+5\times 2\right)$$

Add -2 and 8 to get 6.

$$-29-\frac{36}{4+\frac{12}{6}}-24+3\left(-12+5\times 2\right)$$

Divide 12 by 6 to get 2.

$$-29-\frac{36}{4+2}-24+3\left(-12+5\times 2\right)$$

Add 4 and 2 to get 6.

$$-29-\frac{36}{6}-24+3\left(-12+5\times 2\right)$$

Divide 36 by 6 to get 6.

$$-29-6-24+3\left(-12+5\times 2\right)$$

Subtract 6 from -29 to get -35.

$$-35-24+3\left(-12+5\times 2\right)$$

Subtract 24 from -35 to get -59.

$$-59+3\left(-12+5\times 2\right)$$

Multiply 5 and 2 to get 10.

$$-59+3\left(-12+10\right)$$

Add -12 and 10 to get -2.

$$-59+3\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$-59-6$$

Subtract 6 from -59 to get -65.

$$-65$$

Factor

$$-65$$