  This is an English translation of "The Resolvent Problem" by
Tschebotarow/Chebotarev. In this article, Chebotarev summarizes the history of
the resolvent problem from compass and ruler constructions to Klein and
Hilbert' formlutions of the problems. He also describes his work on the problem
up until that time. The ideas of resolvent degree and essential dimension arose
out of the resolvent problems Chebotarev describes here.
