Adobe offers a variety of technical support options, from free to for-a-fee.
Adobe maintains a website containing articles on Flash, as well as sample code and answers to frequently asked Flash-related questions. You can get there quickly through Help→Flash Support Center. You'll find lots of articles and tutorials. If you're looking for more advanced help, check out the Developer Centers listed in the column on the right side of the page. There are Developer Centers for Adobe AIR for Flash, Flash, Flash Lite, Flash Media Server, and Flash Player.
If you're interested in creating animations that folks can play on mobile devices like mobile phones and PDAs, check out the Mobile and Devices Developer Center at www.adobe.com/devnet/devices/flashlite.html.
Adobe hosts online forums, where anyone can ask a question about Flash, and anyone can answer. User-to-user means that Adobe employees don't officially monitor the forums or answer any questions, so the feedback you get has no official sanction or guarantee of accuracy. Still, the best and fastest answers and advice often come from other folks in the trenches, so if you've worked your way through Adobe's Tech Notes, Knowledgebase (online articles), FAQs, and documentation, these forums (Help→Adobe Online Forums) are definitely worth a look.