Let f be a function defined along the rational numbers such that f(nm)=n1 for all relatively prime positive integers m and n. The product of all rational numbers 0<x<1 such that f(1−f(x)x−f(x))=f(x)+529 can be written in the form qp for positive relatively prime integers p and q. Find p+q.
Your answer seems reasonable.
Find out if you're right!