I gave up with the crossword in the end. It was too difficult.
The reference is from Phrasal Verb Quiz #10 .
Is "give up" a phrasal verb and "up" is a preposition?
Or
Is "give up with" a phrasal verb and both "up" and "with" are prepositions?
My guess is that only the first is correct,
because give up can exist independently in a sentence without "with".
Is my understanding correct?
Or both the first and second are correct. Why?