I have a 91 chevy cavalier it runs until it gets warm then starts to shake and sputter then it stalls wont start again for couple hrs what it wrong with it

Try cleaning the throttle body and the idle speed control valve, they get full of sludge and this causes stalling. Use a product called CRC Throttle valve cleaner on both parts, DO NOT USE CARB CLEANER IT WILL RUIN THE PARTS.

Wrong fuel octane water in fuel...

have the ignition module tested, that can cause what you are describing

Try pulling the vacuum line off of the EGR valve when the engine is warm and starts to sputter. If it runs good cold and then dies when warm and won't start again until the engine cools it is most likely a bad or sticking EGR valve. Try the procedure to confirm it is the EGR. You can check the internet for location and an image of the EGR valve for your specific car. Please rate me on this answer.

pull off the transmission transition switch wire pluged on to tranny
start car drive should be fine never hook op again 0 money
or pay 700 dollars to install a new one
or buy switch pull tranny and install your self

you need to take the car to a muffler shop and have the catylitic converter changed... the converter is stopped up not letting the exaust leave the engine thus stopping it.

The problem is the torque converter solenoid. I had it happen on my 94 Cavalier a few years back and was a cheap fix at the local car mechanic. What happens is the transmission warms up and hits a certain speed where the solenoid engages, but then it sticks and won't disengage until it cools down sufficiently. When it sticks, it causes the car to shake when slowing down and will snub out the engine if you come to a stop.

Ignition coil or Ignition control module I would look towards the ignition control module.I had a 91 cavelier do the samething exact same and i tried everything to try and fix it,it turned out that it was the ignition control module. There will be 2 coils mounted onto that plate.It ran good till it warmed up,once warmed up it would stall and spitt and sputter,if left for awhile would start up and go good untill it warmed back up.Once the module would get warm it would quit working untill it cooled down

if you can check for spark when it wont start and fuel pressure and the service port , would be great information , otherwise pattern failure is ignition module and crank sensor (replace them as a set) , after cools off it will run again.

Try checking the coil by pouring a little water around the base if it stops running therse your problem Coils are close to the engine and have to deal with heat issues over time the case on the coil cracks and starts to cause problems,The cracks are very hard so see