TAZ 6 Troubleshooting for Student Use

I saw this thread about having print failures, and it’s given me a vague idea of where to try next.

I won’t lie, the gears on our extruder look nasty, kind of gunked up with dust and such. I wonder if giving them a clean and once-over might help. I might try to look into that, but I’d have to figure out how the hell to take the extruder off the assembly first.