Solve 41+{25-[14+(-17+37-9)]}-(-10)^2:(-5)

$$41 + \{ 25 - [ 14 + ( - 17 + 37 - 9 ) ] \} - ( - 10 ) ^ { 2 } : ( - 5 )$$

Evaluate

$$61$$

Solution Steps

Subtract 17 from 14 to get -3.

$$41+25-\left(-3+37-9\right)-\frac{\left(-10\right)^{2}}{-5}$$

Add -3 and 37 to get 34.

$$41+25-\left(34-9\right)-\frac{\left(-10\right)^{2}}{-5}$$

Subtract 9 from 34 to get 25.

$$41+25-25-\frac{\left(-10\right)^{2}}{-5}$$

Subtract 25 from 25 to get 0.

$$41+0-\frac{\left(-10\right)^{2}}{-5}$$

Add 41 and 0 to get 41.

$$41-\frac{\left(-10\right)^{2}}{-5}$$

Calculate -10 to the power of 2 and get 100.

$$41-\frac{100}{-5}$$

Divide 100 by -5 to get -20.

$$41-\left(-20\right)$$

The opposite of -20 is 20.

$$41+20$$

Add 41 and 20 to get 61.

$$61$$

Factor

$$61$$