#### Answer

$-13$

#### Work Step by Step

Recall the acronym PEDMAS, which tells us the order of operations:
P: Parenthesis and other grouping symbols
E: Exponents
D/M: Division and Multiplication (from left to right)
A/S: Addition and Subtraction (from left to right)
Use the rule above to obtain:
$=4-(-5)^2+3 \div 6 \cdot 16
\\=4-25 + 3 \div 6 \cdot 16
\\=4-25 + 0.5 \cdot 16
\\=4-25 + 8
\\=-21 + 8
\\=-13$