Ixazomib Citrate and Lenalidomide After Stem Cell Transplant in Treating Patients With Newly Diagnosed Multiple Myeloma

PRIMARY OBJECTIVES: I. Establish safety and efficacy of oral ixazomib citrate (MLN 9708) and lenalidomide in the maintenance setting post autologous stem cell transplant (ASCT) in myeloma patients. SECONDARY OBJECTIVES: I. Incidence of secondary primary malignancy. II. Evaluate the best response rate (stringent complete response \[sCR\]/near complete response \[nCR\]/very good partial response \[VGPR\]/partial response \[PR\]). III. Evaluate time to progression. IV. Evaluate time to next therapy. V. Evaluate the tolerability and toxicity. VI. Evaluate M. D. Anderson Symptom Inventory (MDASI)-myeloma symptom evaluation. OUTLINE: Beginning 60-180 days post-transplant, patients receive ixazomib citrate orally (PO) on days 1, 8, and 15 and lenalidomide PO on days 1-28. Courses repeat every 28 days in the absence of disease progression or unacceptable toxicity. After completion of study treatment, patients are followed up at 30 days.