Filanesib and Carfilzomib in Treating Patients With Relapsed or Refractory Multiple Myeloma or Plasma Cell Leukemia

This phase I trial studies the side effects and best dose of filanesib when given together with carfilzomib in treating patients with multiple myeloma or plasma cell leukemia that has returned or does not respond to treatment. Drugs used in chemotherapy, such as filanesib, work in different ways to stop the growth of cancer cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Carfilzomib may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. Giving filanesib together with carfilzomib may be a better treatment for multiple myeloma or plasma cell leukemia.