On the other hand, as non-native English speaker, it save me much time into paraphrasing my poorly thoughts and writing that I would need an hour to express in a good formal manner. It can guide you in some aspects of coding tasks, introduce you to some APIs …etc. This is actually a good tool that I agree that a good student (researcher) would use wisely to gain some knowledge and save sometime.
It will not help much with solving a cart on an inclined plane with some friction and a pendulum hanging from the cart. No, it will not be able to give you the normal modes.
This is just a personal experience and opinion, though. It might be completely different in other areas.