#### Answer

$-\frac{34}{7}$

#### Work Step by Step

Using order of operations, first solve numerator and denominator separately, then simplify the fraction.
$\frac{22 + (3)(-2)^{2}}{-5 - 2} = \frac{22 + (3)(4)}{-5 - 2} = \frac{22 + 12}{-5 - 2} = \frac{34}{-5 - 2} = \frac{34}{-7} = -\frac{34}{7}$