I stripped out the cards and the mobo/proc from the case. Wow! Apparently I was in a hurry to get this one out of the way at my parents house when I upgraded the lowest common denominator computer (this one) at the time. The screws didn't fit the standoffs and were jammed in. Despite how embarrassing this is, I think it is worth noting that this *most* likely happened because I was on the verge of tossing everything out for recycling... but this one somehow survived - It was most likely moved to the attic at my parents' because they weren't sure what I wanted to do with it.
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After getting the screws out of the standoffs, I blew out the processor and the surface of the mobo with some compressed air. I think there were a few intermittent contact issues with the processor and motherboard at the start - I had some non-boot instances and some freezes. I dropped down to 1 stick of RAM and threw in an ATI Rage Mach 64 that was hanging out nearby. Not willing to admit it was just the capacitors and after making sure the proc was once again secured properly, I fired up.
I used a "bench" computer PSU, placed the board on a digikey box (nice, low profile), and fired up (bad cap still in circuit).
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Hmm. I pulled a support page for Epox from archive.org, and it looks like this isn't quite the most recent BIOS.
(7/26/2000 flashed vs 9/20/2000 on website. Apparently, the latest version adds 65 GB drive support)
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BIOS played nice. I was able to reboot a few times after tweaking/saving settings.
So now I gotta decide what direction I want to go with the caps. I am tempted to just ignore the problem. Then I think, "well, I could replace the one cap." Then I think, "Might as well replace them all if you are going to bother..."
I suppose it depends on what sort of time commitment I want to make.