Warts are weird. What works for one person might not work for someone else. I had a plantar wart for 18 years (seriously), and I tried EVERYTHING. Nothing worked except finally having it cut out.
Now I have a small one on my hand that I'm working on. I've tried potato, duct tape, garlic, etc., etc., and nothing's working. At least it isn't getting any bigger though.
I would suggest trying all the remedies above, sticking with each for a couple weeks or until you see some change/improvement, than move on to the next. You never know what'll do the trick.
OTC acid worked fine for my husband, but has never worked for me. Go figure.