Daily Expression
A:	この前から言っていた問題は解けた？
B:	いや、もう難しくてお手上げだよ！
Romaji:
A:	Kono mae kara itte ita mondai wa toketa?
B:	Iya, moo muzukashikute oteage dayo!
Translation:
A:	Have you solved the problem that you talked about the other day?
B:	No, it's too difficult and I have given up on it!
お手上げ / Oteage:
Literally means "to raise one's hands". As you can imagine from that gesture, it expresses "surrender" and means "there's nothing more that can be done."

Another example
A:	彼女を説得するのはやめたんですか。
B:	何を言っても聞いてくれないから、もうお手上げだ。
Romaji:
A:	Kanojo o settoku suru no wa yametan desuka.
B:	Nani o ittemo kiite kurenai kara, moo oteage da.
Translation:
A:	Have you stopped trying to persuade her?
B:	Yes, she doesn't listen to what I say.　I have given up.