Random AVP flash game as the predator.
I'd ask if I get to keep my abilities? but it would only buy me a few seconds anyway? so? Or on the other hand if I'm allowed them I might be awesome at it. In that highly unlikely scenario, I would be having the best day ever.
More interesting question (to me anyway) is if predator would keep my abilities. If not, he'd probably be tremendously bored and would hate my body and get me killed by joining the Army. If so? well, he'd probably still be tremendously bored, but he would probably be amused at all the math I know which has no real application to anything, and he might run with that (like I am). And preferably he'd keep playing my online nomic games.
[If we kept our old bodies, I would be screwed but if that would mean I would get to be there in spirit when my slightly skittish roommate walks in on a Predator, that would almost be worth being rape-devoured by the aliens]
[EDIT: Or the most interesting, least likely scenario: We keep our own bodies but keep the abilities of the other. In that case, I die approximately one second later due to a well-placed but ill-advised punch to the face, and he goes on to be the first non-human to make significant contributions to human mathematics. Unless he gets killed by overzealous nutjobs or the military, which I suppose is probably more likely since I don't really have the ability to talk my way out of situations well. Or maybe he gets shot by said people and then goes on a murder-rampage. My college is pretty small/nerdy, though, so he might end up being really popular. I could go on?]