In 1980 Rhemtulla asked whether there exist finitely generated infinite simple groups of homeomorphisms of the real line. In joint work with Hyde, we construct continuum many such examples (up to isomorphism), thereby resolving this question. In recent joint work with Hyde, Navas, and Rivas, we demonstrate that among these examples are also so called "left orderable monsters". This means that all their actions on the real line are of a certain desirable dynamical type. This resolves Question 4 from Navas's 2018 ICM proceedings article concerning the existence of such groups.