@dharr 

Thanks for the suggestions. I stopped the calculation after several hours because it showed no indication that it was getting close to a solution.

I do have some reason to believe that a solution exists based on numerical results from a smaller version of the system. The equations are nonlinear, and some of them are not polynomial, although I may be able to reformulate part of the system into polynomial form.

I’ll upload a reduced version of the worksheet with a smaller sample of the equations so you can take a look at the structure and suggest a better approach in Maple 2025.