When you put up with something, you tolerate it although it bothers you.
EG: The teacher said that she won’t put up with our rude behaviour anymore.
When you put off something, you delay it; you postpone it for another time.
EG: We had a meeting today but he put it off due to a family emergency.
When you put on something, you wear it.
EG: She put on her high heels and went out with her friends.
When you put forward something, you suggest (usually an idea).
EG: He put forward the idea of quitting his job but the others didn’t agree.
When you put something aside (usually money), you save it.
EG: She always puts aside some money every month for a rainy day.
When you put somebody down, you make this person feel bad by criticising his/her actions.
EG: He would always put her down in front of others, and she couldn’t take it anymore so she found the strength to divorce him.
When you run into somebody, you meet this person unexpectedly.
EG: I run into our old school teacher at the coffee house the other day. She hasn’t changed a bit!
When you run out of something, you have no more left.
EG: The natural resources are running out, so we must find alternative ones.
When you set off, you leave.
EG: He set off to Paris by car.