I'm in my first year as a grad student in math at a large university in the US. For the moment I'm just taking classes, all of which have weekly problem sets which take a ton of time to complete in full. I have carried over the mentality from undergrad where I try to complete all the problems in the problem sets, and at least put in a significant amount of effort on each problem. However, this is taking up enough time that I haven't had much of an opportunity to do math things outside of the class (stuff like attending seminars, trying to read papers, pursuing interesting subjects brought up briefly in class in more depth, etc). Because of this, I've been contemplating taking less time on my problem sets, but I have a few questions about potentially receiving lower grades:
First, is it common for math programs in the US to kick out students for getting low (but not failing) grades? I can't find any official policy from my program and I don't feel comfortable asking anyone. A friend in a different subject said that his program regularly kicks out students in the first couple years even if they pass or are on track to pass their qualifying exams in time, but I'm not sure if this is done in math.
Also, aside from getting kicked out, what are the negative consequences to receiving a low grade? (in a class which is not particularly close to the area I think I want to do research in)