>>12693265very quick analysis, could be wrong, but it looks like it generates a family of polynomials, likely with fractional powers. x would be whatever the roots of those are if that specific one has roots, so overall it looks solvable. however, finding a simplified form for the general case, not as sure. n isn't infinite which increases the chances of a closed form.
you can write the sum in terms of the sum of product functions divided by another product function, or in terms of gcds of the denominators, but the index is one where it excludes 1 value, like i=1..n, but also i not = to j.
Didn't take it further than that.
