Consider the following propositions:

$p$: I study hard.

$q$: I will pass the course.

$r$ : The professor accepts bribes.

Translate the following into statements of propositional logic.

If I do not study hard, then I will only pass the course if the professor accepts bribes.

If the professor accepts bribes, then I do not study hard.

The professor does not accept bribes, but I study hard and will pass the course.

If I study hard, the professor will accept bribes and I will pass the course.

I will not pass the course, but the professor accepts bribes.