Solve (570*409-43516:86*275):4-(73720:76+1668)*7

$$( 570 \cdot 409 - 43516 : 86 \cdot 275 ) : 4 - ( 73720 : 76 + 1668 ) \cdot 7$$

Evaluate

$$5029$$

Solution Steps

Multiply 570 and 409 to get 233130.

$$\frac{233130-\frac{43516}{86}\times 275}{4}-\left(\frac{73720}{76}+1668\right)\times 7$$

Divide 43516 by 86 to get 506.

$$\frac{233130-506\times 275}{4}-\left(\frac{73720}{76}+1668\right)\times 7$$

Multiply 506 and 275 to get 139150.

$$\frac{233130-139150}{4}-\left(\frac{73720}{76}+1668\right)\times 7$$

Subtract 139150 from 233130 to get 93980.

$$\frac{93980}{4}-\left(\frac{73720}{76}+1668\right)\times 7$$

Divide 93980 by 4 to get 23495.

$$23495-\left(\frac{73720}{76}+1668\right)\times 7$$

Divide 73720 by 76 to get 970.

$$23495-\left(970+1668\right)\times 7$$

Add 970 and 1668 to get 2638.

$$23495-2638\times 7$$

Multiply 2638 and 7 to get 18466.

$$23495-18466$$

Subtract 18466 from 23495 to get 5029.

$$5029$$

Factor

$$47\times 107$$