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I'm sorry for your pain,
It is often possible for your dentist to call in a prescription for a stronger medication to your pharmacy if he or she follows up by sending a "hard copy" of the prescription. I would strongly recommend calling their office and explaining the severity of your pain. If you are an existing patient they should be able to accommodate you on an emergency basis. There is no reason that you should need to suffer this sort of pain. If they cannot see you, I would suggest visiting another clinic.
I hope you feel better very soon,
BTW - If you do not have a history of peptic ulcer or liver disease, you can take a combination of Advil and Tylenol
as follows : Alternate every 3-4 hours between 400mg of Advil and 2 extra strength Tylenol. This combination can be very effective for pain management for limited periods of time. But the best idea would be to contact your dentist office for instuctions regarding immediate care on an emergency basis. They should not require you to wait needlessly for relief of your pain. If not, it would be wise to call another dental clinic.