Do hot drinks or chewing gum remove sugar from teeth?

No, not really. Water/hot drinks just dissolve it, but some still stays on. The best thing to do is brush regularly. Chewing gum can work in the short term, but it won't stop your teeth "rotting". It just produced excess acid in your stomach because your body thinks you are going to have to digest something as you are chewing, but you don't swallow chewing gum... Just brush, I'd say :D