Solve 1-6(2005+2(0-1)+2(0-1)+2(0-1)+2(0-1)/12)

$$1 - 6 ( 2005 + \frac { 2 ( 0 - 1 ) + 2 ( 0 - 1 ) + 2 ( 0 - 1 ) + 2 ( 0 - 1 ) } { 12 } )$$

Evaluate

$$-12025$$

Solution Steps

Subtract 1 from 0 to get -1.

$$1-6\left(2005+\frac{2\left(-1\right)+2\left(0-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(2005+\frac{-2+2\left(0-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(2005+\frac{-2+2\left(-1\right)+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(2005+\frac{-2-2+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 2 from -2 to get -4.

$$1-6\left(2005+\frac{-4+2\left(0-1\right)+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(2005+\frac{-4+2\left(-1\right)+2\left(0-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(2005+\frac{-4-2+2\left(0-1\right)}{12}\right)$$

Subtract 2 from -4 to get -6.

$$1-6\left(2005+\frac{-6+2\left(0-1\right)}{12}\right)$$

Subtract 1 from 0 to get -1.

$$1-6\left(2005+\frac{-6+2\left(-1\right)}{12}\right)$$

Multiply 2 and -1 to get -2.

$$1-6\left(2005+\frac{-6-2}{12}\right)$$

Subtract 2 from -6 to get -8.

$$1-6\left(2005+\frac{-8}{12}\right)$$

Reduce the fraction \frac{-8}{12} to lowest terms by extracting and canceling out 4.

$$1-6\left(2005-\frac{2}{3}\right)$$

Convert 2005 to fraction \frac{6015}{3}.

$$1-6\left(\frac{6015}{3}-\frac{2}{3}\right)$$

Since \frac{6015}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$1-6\times \frac{6015-2}{3}$$

Subtract 2 from 6015 to get 6013.

$$1-6\times \frac{6013}{3}$$

Express 6\times \frac{6013}{3} as a single fraction.

$$1-\frac{6\times 6013}{3}$$

Multiply 6 and 6013 to get 36078.

$$1-\frac{36078}{3}$$

Divide 36078 by 3 to get 12026.

$$1-12026$$

Subtract 12026 from 1 to get -12025.

$$-12025$$

Factor

$$-12025$$