Write the following statement in the form of "if-then":
The banana trees will bloom if it stays warm for a month.

Which of the following statement$(s)$ is/are not true?
$I$) If $1$ is not a prime number, then $2$ is not a prime number.
$II$) $e$ is a vowel and $12 \times 3 = 36$.
$III$) It is not true that $14$ is a composite number and $3$ is an even number.
$IV$) $\sqrt{5}$ is an irrational number, but $3 + \sqrt{5}$ is a complex number.

Which of the following is a statement?

The statement $(p$ $\rightarrow (q$ $\rightarrow p))$ $\rightarrow (p$ $\rightarrow (p \vee q))$ is

The statement pattern $[(p \vee q) \wedge \sim p] \wedge (\sim q)$ is

The statement pattern $(p \lor q) \to \sim r$ is logically equivalent to