Wiktionary
give a fuck
vb. (context idiomatic vulgar usually in a negative use English) to care.
Usage examples of "give a fuck".
But this guy doesn't give a fuck about the causes he's assisting either.
We'll do what we want, when we want, and we won't give a fuck for the consequences.
If Komarov is a fine man and a great leader-to-be, why should we give a fuck?