The logical expression $$\mathrm{p} \wedge(\sim \mathrm{p} \vee \sim \mathrm{q}) \equiv$$

The negation of the statement pattern $\sim p \vee(q \rightarrow \sim r)$ is

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

The negation of the statement ' He is poor but happy' is