It might be a starter going bad. Had the same problem and was told that it just needed a new starter.
The most obvious thing to check when a 1991 Oldsmobile Cutlass Supreme won't start is to make sure that the vehicle has gas. You should also check the battery. If the car clicks when you try to start it, it is likely the alternator.
Check the crank sensor
be more specific what kind of noise if any at all wont turn over ? it will not even crank up
Located in the fuel tank remove to access
Fuel pump probably
Could be in need of a tune up. Start with replacing the spark plugs and spark plug wires.
There is a fuel cut-off switch under the hood that needs to be reset. Should be on the left side near the back.
Get a bucket and a length of tubing. Stick the tubing into the tank. Start sucking to create a suction. Once you taste gasoline, stick the other end into the bucket. Voila, the gas will start pouring out !
coil packs,fuel pump or pressure regulator
bad connection or starter solenoid
Well the engine might be flooded
What would make a 1899 oldsmobile cutlass ciera start and then die right away?