Teach you a lesson.It means to deflate your ego, to humble you in front of your peers.
"Cutting" a deal just means making one. You're compromising, or making an agreement. "Cut" is used in the sense of stamping out or creating.
RFP is not an idiom. It's an abbreviation.
It's not really an idiom. It means "what are you thinking about."
It is not an idiom, it means your nose is itching.
Usually this idiom is used in a battle or military application in which you remove the most dangerous opponent or the leader first, so that the other enemies will be easier to deal with.
The idiom "can't cut the mustard" means not being able to handle difficult situations.It means whatever it is is not sufficient, that more is required."Can't cut the mustard" means something doesn't meet standard expectations.
"Sieve" is not an idiom. See the related link.
It's not an idiom. It means the tip of your nostril.
the origin of this idiom mean fail or succeed
idiom means expression like a page in a book