here is a couple things. Some times the fuel tank can have rust in it and it ill suck up and clogg the pick up tube. Also There is a air horn in the carb with a spring and power piston. If your carb was not cleaned good you can have the carb cut out at random times.
Just a couple things I have had to deal with that started as a dieing after warm up issue. Try it a few times to make sure it only dies after warming up. Also blow out your fuel lines.