Thanks! I should have made it more explicit that we would need some family of quantic equations, not just x^5 - x - 1. And looks like from another reply the ans

Thanks! I should have made it more explicit that we would need some family of quantic equations, not just x^5 - x - 1. And looks like from another reply the answer is yes? https://en.wikipedia.org/wiki/Bring_radical#Solution_of_the_general_quintic https://en.wikipedia.org/wiki/Bring_radical#Solution_of_the_...