I guess I don't want to be a great mathematician. The reason of this is that I am not working hard. But I love math and understanding why we are doing somethings in math.

I can also use some fact that people proved before. But I don't think it is a math. It is like a puzzle-solving. Researches are generally try to solve some puzzles with some knowledge; and universities/system forces us to solve puzzles. So I don't like this system too.