The statement pattern $p \rightarrow \sim(p \wedge \sim q)$ is equivalent to

Which of the following sentences are statements? Give reasons for your answer.
The square of a number is an even number.

Consider the following statements:
$p: 2$ is an even prime number.
$q: \text{If } z_1 = 2 - i, z_2 = -2 + i \text{ where } i = \sqrt{-1}, \text{ then } \operatorname{Im}\left[\frac{1}{z_1 \bar{z}_2}\right] = -\frac{1}{5}$.
$r: \tan(-945^{\circ}) = -1$.
Which of the following has a truth value of True?

If $\sim p \lor q$ is false, then which of the following is correct?

If $q$ is false and $p \wedge q \leftrightarrow r$ is true,then which of the following is a tautology?

The statement pattern $\sim(p \leftrightarrow \sim q)$ is