What is underlined in the question you are asking
Rest, because you're usually looking for the word it gives along with repose with the 'and' separating it. I hope that makes sense.
Answer:
Everyone must be careful about their own behavior. This is because you could be breaking rules. You could also be hurting another person or yourself. If you are not careful with your behavior, you do not know what could happen. Someone could get in trouble, hurt or just about anything else. So being careful about your behavior does not just help you, it can help everyone else.
The correct form of the sentence would be "[They] will work with the students on the program."
