MathDB
ASU 576 Commonwealth of Independent States 1991 cubics x=p(y), y=p(x)

Source:

August 15, 2019
Cubicpolynomialalgebra

Problem Statement

If you have an algorithm for finding all the real zeros of any cubic polynomial, how do you find the real solutions to x=p(y),y=p(x)x = p(y), y = p(x), where pp is a cubic polynomial?