1991 Pontiac Firebird '91 Firebird 3.1L won't stay running

My '91 started giving me fits one day. I left work to go to the bank and it was cutting out on me when I got on it through an intersection (playing with a buddy in his Audi). Got to the bank, shut it off, did my errand, started the car drove out of the parking lot and the car died on me. I coasted into another parking lot, turned the key and it started. Got back to work and parked it and it wouldn't start after that. It tries, but just won't go, like a fuel delivery issue. Turn the key, starts and dies immediately. 3.1L V6.

A few weeks later (this last weekend), I tried starting it to show my neighbor what it was doing. It did the same thing, start right up, run for a second, or so, and die. After a few tries, she started and ran. I let her run for a bit to see if anything changed, then shut it off and tried again. It started right up. Monday morning, I started it, drove it around the block and pulled back in the driveway and left it running. It died after a little while. I started it it again and it ran, but I didn't want to take the chance of it stranding me on the way to work, so I left it home.


I haven't done any testing yet aside from what I just outlined. I figured I'd throw this out and see what you all thought. Any ideas?