My 1984 rx7 starts when choke is pulled out. WHen

Well the choke has an electric part that heats up and makes the choke open in a few minutes. As soon as the engine starts the choke should open about 25 percent by way of a vac pull-off.
You can take the air cleaner off and watch the choke while someone starts the engine cold. If the choke does not open after it starts, check the choke pull-off. You can also open the choke with a screwdriver to see if the engine clears up.

usually to the S terminal on the alternator. white wire, half battery voltage. starts warming choke after engine starts when alternator starts to put out voltage.

try removing air filter and spaying CARB CLEANER in carb while holding open intake rub thouroughly with hand in side carb, start vehicle and run... spray more cleane and by hand throttle open and spray reinstall filte and runner good on open stretch of highway.
see how that works

Your carburetor has an electrically controled choke thermostat. In addition to this you have what is known as a choke pull-off diaphram. this pull off over a peroiod of time wears through the rubber diaphram and it fails to open the choke the necessary amount to stop from choking the engine out completely. Now, during this failure your sparkplugs have become irreperably blackened with fuel soot and they cannot be cleaned. this is why once your engine warms up it will not run because fouled plugs will only fail when they are warm. You need to have your choke thermostat, your choke pull-off valve and your spark plugs checked and or changed.

Your choke should have a spring at the bottom under a little cover with a rod coming up and connecting to the butterfly for the choke. Usually this get a little corroded and sticks, you need to clean the pieces so that they rotate freely and the rod will move up and down. It is adjusted on some models by bending the rod to make it longer or shorter. When you push down the gas pedal for the first time in the morning it should set the choke, test this by opening the throttle while its cold out, once the throttle is opened the choke should close, once the engine is running there is a vacuum operated linkage that should pull it back some, until the engine is warm. Again if this worked before, its probably dirty so a good cleaning is in order. Hope this helps, let me know

check the vacuum choke pull off-the round piece connected by rod to the choke see if the rod pulls back into the round part when running,the vacuum diaphram rots and wont pull back to open choke

these cars are carburated motors and need around 10 minutes to warm up because they operate at higher temperatures.

There is a throtle adjuster right behind the carb. You can adjust it with a screw driver. If you are not sure where it is, just have someone press to gas pedal and you will see it move. RPM's at idle should be around 1,000 when it is idle once it has warmed up. Once that car warms up the choke moves back in and the car is probably stalling because it is not running enough RPM's.

Check the flexible pipe wich extends from the exhaust manifold to the bottom of the air cleaner inlet. if it is missing or not properly mounted you will have that exact concern. If it is there and looks functionable have the carburetor rebuilt by a professional. The primary fuel circuits are clogging/varnishing up and the passage becomes smaller not allowing fuel to flow properly. The engine can handle the lack of fuel better when warm. At the time of rebuilding they must check for cracked vucuum lines and check the linkage for the choke and fast idle cam. This will ensure proper fuel delivery and cold engine enrichment as needed. Good luck

That's a big IF, orv1979. I would go to Auto Zone and invest $20 in a Haynes repair manual so you can see where the filter is located on your vehicle. Also you will have other troubleshooting guides in the book that will help you in the future.