I discovered that are little or no roles for entry level prommers or analyst
True. The position are only available for 3-15 years around. I
You will find position which do not mention any experience in years and requires only skills experience. If you have that experience than you can submit your application.
However, selection process is not transparent on Topcoder. It just shows you your application stage and it just sit there till the psotion is closed as called. You cannot also figure out if the position posted are genuine or sample.
I have applied on upwork for the position, there was no interview happened on the same. However, I recevied a email from Topcoder team that client had rejected me in the interview. There are other platforms like upwork which might be able to provide you plenty Entry level jobs.