Problem with Pontiac G3.

Hello, I hope you are all well with health ..
My query is about a Pontiac G3 2007, it presents the next fault, when you light the car in cold it takes a long time to turn on once the car turns on to the first llavazo, now when it runs as a rrepente it feels heavy and if it stops accelerating it, it turns off, for example if in a stop I put it neutral and I do not floor the accelerator is turned off.
If I turn off the car and leave it for about 5 minutes and I turn it on again the fault is removed but after a few quilometers the fault returns. They already scanned it and nothing comes out of starting tests and all good. I don't know what to do .................
I hope you can help me with your comments thank you very much
from Mexico DF greetings to all goodbye ..

Change the fuel filter

Hello thank you for your answer, try to change the filter but a small detail does not find it for which I deduce that it is inside the gas tank they could tell me how to lower the tank to be able to change the piece in question or if it is a manual that guides me how to do it a thousand thanks for your attention

Actually I think your problem goes through the motor refrigerant temperature sensor, makes that symptom, but check and clean the admission and air filter.

Thanks for the answers, the problem was fixed with changing the IAC but if I am interested in the mechanic manual of the G3 I say to learn the car and that the mechanics do not lie to you if someone has it or Aveo version I will appreciate them very much that they have good weekend to all.