How much time does it take to come up with a specific theoretical research problem? I work in computational algebra. The last seven months, I have been reviewing literature and reading some research in computational algebra, but till now, I've not been able to come up with any specific problem. For the first two years of my PhD, I did the course work.

Question : How much time does it take to come up with a specific research problem? Is there any way to speed up this phase of the PhD?

Please note that my research supervisor is helpful, I discussed this issue with him and he told me that it takes some time to come up with a research problem, but he did not tell me how much time it will take.
At least in my experience, one's PhD adviser helps with finding a research topic, or even provides one. Depending on how mature and technical the field is, it might be very difficult to come up with a reasonably problem by oneself.

I suggest discussing the question with your advisor.