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If $p \rightarrow q$ and $p$, then ____?

If $p \rightarrow q$ and $\neg q$, then ____?

If $p \rightarrow q$ and $q \rightarrow r$, then p \rightarrow ____?

If $p \lor q$ and $\neg p$, then ____?

If $p$ and $q$, then p \land ____?

If $\neg \neg p$, then ____?

$\neg (p \land q)$ is equivalent to ____?

If $p \rightarrow q$ and $p \land r$, then q \land ____?

If $p \land (p \rightarrow q)$, then ____?

If $p \land (q \land r)$ then (p \land q) \land ____?

If $p \rightarrow q$ and $q \rightarrow p$, then ____?

If $p$ if and only if $q$, and $q$ if and only if $r$, then $p$ if and only if ____?

If $p \leftrightarrow q$, and $\neg p$, then ____?

$\neg (p \lor q)$ is equivalent to ____?

If $p \leftrightarrow q$, then q \leftrightarrow ____?

If $p \lor q$ and $\neg p$, then $q$ and ____, by Disjunctive Syllogism?

If $\neg(p \rightarrow q)$, then ____?

If $p \land q$, then p \lor ____?

If $(p \lor q) \lor r$ then p \lor (q \lor ____)?