Solve 7-{5+10[20div5-2+4*(5+2*3)]-8*3^2}+50(6*2)

$$7 - \{ 5 + 10 [ 20 \div 5 - 2 + 4 \cdot ( 5 + 2 \cdot 3 ) ] - 8 \cdot 3 ^ { 2 } \} + 50 ( 6 \cdot 2 )$$

Evaluate

$$214$$

Solution Steps

Divide 20 by 5 to get 4.

$$7-\left(5+10\left(4-2+4\left(5+2\times 3\right)\right)-8\times 3^{2}\right)+50\times 6\times 2$$

Subtract 2 from 4 to get 2.

$$7-\left(5+10\left(2+4\left(5+2\times 3\right)\right)-8\times 3^{2}\right)+50\times 6\times 2$$

Multiply 2 and 3 to get 6.

$$7-\left(5+10\left(2+4\left(5+6\right)\right)-8\times 3^{2}\right)+50\times 6\times 2$$

Add 5 and 6 to get 11.

$$7-\left(5+10\left(2+4\times 11\right)-8\times 3^{2}\right)+50\times 6\times 2$$

Multiply 4 and 11 to get 44.

$$7-\left(5+10\left(2+44\right)-8\times 3^{2}\right)+50\times 6\times 2$$

Add 2 and 44 to get 46.

$$7-\left(5+10\times 46-8\times 3^{2}\right)+50\times 6\times 2$$

Multiply 10 and 46 to get 460.

$$7-\left(5+460-8\times 3^{2}\right)+50\times 6\times 2$$

Add 5 and 460 to get 465.

$$7-\left(465-8\times 3^{2}\right)+50\times 6\times 2$$

Calculate 3 to the power of 2 and get 9.

$$7-\left(465-8\times 9\right)+50\times 6\times 2$$

Multiply 8 and 9 to get 72.

$$7-\left(465-72\right)+50\times 6\times 2$$

Subtract 72 from 465 to get 393.

$$7-393+50\times 6\times 2$$

Subtract 393 from 7 to get -386.

$$-386+50\times 6\times 2$$

Multiply 50 and 6 to get 300.

$$-386+300\times 2$$

Multiply 300 and 2 to get 600.

$$-386+600$$

Add -386 and 600 to get 214.

$$214$$

Factor

$$2\times 107$$