This is a first-in-human, multicenter, open-label study consisting of 2 phases. Phase 1 is a dose escalation study of RXDX-105 (formerly known as CEP-32496) in patients with advanced solid tumors aimed at defining the recommended Phase 2 dose (RP2D) and schedule for administration. Phase 1b is a dose expansion in approximately 90 patients with advanced solid tumors with specific histologies and/or molecular alterations of interest. Patients in Phase 1b will be treated at the RP2D determined in Phase 1.