More information:
It runs if I add swap space on a CompactFlash card, but the program I am trying to run inside DOSbox (Jill of the Jungle, an old DOS freeware game) appears to cause it to seg fault later. The SDL window for DOSbox comes up and it goes full screen (as specified in the config file I'm using) but it never gets beyond a black screen--it is killed by SIGSEGV shortly after going fullscreen.
Incidentally, it does run on my Nokia 770, albeit just a bit too slow to be usable. I want to try the Z because it has a 400MHz ARM CPU as opposed to the Nokia's 250MHz.