Check the red biohazard trashcans, usually found in 360, 364, or 368.
If it is more than half full, or if it really stinks, autoclave it.
Wear gloves! Put the clear bag into a Nalgene autoclave basket, but don't seal it up tight. (If you do, it will explode in the autoclave.) Double bag it if it has a lot of liquid in it.
Set it for 60 minutes sterilization, liquid cycle.
When it is done, make sure the "autoclaved" sign on the bag has turned dark, then seal the bag and put a non-hazardous waste sticker on it, put it inside a black trashbag, and throw in the regular trash.