What i heard, is that warts, like herpes, are not curable. But you can have them removed by a doctor. A friend of mine had HPV and her doctor told her that with both herpes and HPV, your body can eventually build up a tolerance against them, thats why you get fewer outbreaks. And with HPV, your body can eventually sometimes fight off the virus on it's own. It may take a while, but it can do it.
Unfortunately, those of us with herpes, they haven't found that the body can eventually overtake the herpes virus yet
I'm not a doctor anything so don't quote me on any of that, thats just what a doc told my friend. I would still go see a professional and see for sure what it is and if you should have it removed.