I was similarly trying to extract tooth with pliers that was in pain, because the dentist that treated it did not clean it well enough, before filling it, so there was something left that caused inflammation and that was causing a pain. It eventually ceased(after couple of weeks of pain) - suggestion was to use antibiotics for that, or pain relief - I don't remember if I used any of those, but the teeth is still present. That was 20 years ago... I switched dentist though, which is natural, as I was completely pissed at him and was considering do actually physically harm him - maybe even murder him - all of that because of agonizing pain in teeth.