56+(78-46×38)-33

To solve the expression \( 56 + (78 - 46 \times 38) - 33 \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right). 1. Calculate the multiplication inside the parentheses: \[ 46 \times 38 = 1748 \] 2. Now substitute back into the expression: \[ 56 + (78 - 1748) - 33 \] 3. Calculate the subtraction inside the parentheses: \[ 78 - 1748 = -1670 \] 4. Now the expression is: \[ 56 + (-1670) - 33 \] 5. Next, add 56 and -1670: \[ 56 - 1670 = -1614 \] 6. Finally, subtract 33: \[ -1614 - 33 = -1647 \] So, the final result is: \[ \mathbf{-1647} \]