Bad RAM or 7400 series chip for RAM Support (on the side by the RAM). I know you can test each bank one at a time with the bottom bank for 16K of RAM.
Also look at your ROMs. Gently remove them and put them back in. Corrosion on the chips' legs can also do this.
Also check the power on the PSU with a Multimeter. You should get +5V, -5V, +12V and -12V when connected to ground.