Ok, I don't know how long I have before the computer shuts down by itself again. Basically I had a BSOD for the longest where it wouldn't even let me go to the login screen. I "solved" that problem by putting in the Windows 7 CD and repairing the problem (was some sort of system.32 error or something). For months however though, my computer has been shutting down automatically and restarting. Sometimes 5 or 6 times before it stays on long enough to do something. I tried switching out my RAM, but that didn't help so I'm thinking my PSU is going bad. I don't know if the BSOD problem is linked to the computer shutdowns however. I used to keep getting System Service Exception Blue Screens too, but I never wrote down the error number that went along with them...sorry.
EDIT: Trying to attach my .rar file of the minidump. An error keeps coming up.