Is the security light on the dash on? It sounds like a Passlock issue. Its very commen with the Alero and Grand Am.
After attempting to start the engine, if the SECURITY light flashes or stays on, wait ten minutes with the key in ON until the light goes off. Then turn the ignition to OFF before attempting to start the engine again. If the car starts after the 10 minutes you have an issue with the Passlock system, its more than likely the ignition cylinder. There is a bypass, http://www.oldsmobileforum.com/forum...ead.php?t=1194
, just ask Iflylow to email it to you.