For example I give wolfram alpha the equations $ a^2=b, b^2 = c, c^2 = a$ to solve, and I get the following as answers.

However, I want $ a,b,c$ to be the three roots of a degree $ 3$ polynomial, is there anyway to utilize the process so I don’t have to type each set of solutions in manually?

(This is my first time asking a question, hopefully I have made myself clear)