Clinical Research Directory

Inclusion Criteria: Participants must satisfy the following criteria to be enrolled in the study: * Participant has documented diagnosis of MM and measurable disease, defined as: 1. M-protein (serum protein electrophoresis \[sPEP ≥ 0.5 g/dL\] or urine protein electrophoresis \[uPEP\]): uPEP ≥ 200 mg/24 hours and/or 2. Light chain MM without measurable disease in the serum or urine: Serum immunoglobulin free light chain ≥ 10 mg/dL (100 mg/L) and abnormal serum immunoglobulin kappa lambda free light chain ratio * Participant has received: 1. at least 3 prior MM regimens for Arm A Cohort 1 and Arm B 2. at least 1 but no greater than 3 prior MM regimens for Arm A Cohort 2 * Arm A Cohort 1 and Arm B: Participant has received prior treatment with an immunomodulatory agent, a proteasome inhibitor and an anti-CD38 antibody-containing regimen for at least 2 consecutive cycles. * Arm A Cohort 2: Participant has received prior treatment with an immunomodulatory agent for at least 2 consecutive cycles. * Evidence of PD during or within 6 months (measured from the last dose of any drug within the regimen) of completing treatment with the last antimyeloma regimen before study entry. * Participant achieved a response (minimal response \[MR\] or better) to at least 1 prior treatment regimen. * Participant has an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1. Exclusion Criteria: The presence of any of the following will exclude a participant from enrollment: * Participant has non-secretory MM or has history of or active plasma cell leukemia, Waldenstrom's macroglobulinemia, POEMS syndrome (polyneuropathy, organomegaly, endocrinopathy, monoclonal protein, and skin changes) or amyloidosis. * Participant has any of the following laboratory abnormalities: 1. ANC and Platelets count as reported below 2. Hemoglobin \< 8 g/dL (\< 4.9 mmol/L) (transfusion is not permitted within 21 days of screening) 3. Creatinine clearance (CrCl) as reported below 4. Corrected serum calcium \> 13.5 mg/dL (\> 3.4 mmol/L) 5. Serum aspartate aminotransferase (AST) or alanine aminotransferase (ALT) \> 2.5 ×upper limit of normal (ULN) 6. Serum total bilirubin \> 1.5 × ULN or \> 3.0 mg/dL for participants with documented Gilbert's syndrome 7. International normalized ratio (INR) or activated partial thromboplastin time (aPTT) 1.5 × ULN, or history of Grade ≥ 2 hemorrhage within 30 days, or participant requires ongoing treatment with chronic, therapeutic dosing of anticoagulants (eg, warfarin, low molecular weight heparin, Factor Xa inhibitors) * Participant has inadequate pulmonary function defined as oxygen saturation (SaO2) \< 92% on room air. * Participant has known chronic obstructive pulmonary disease (COPD) with a forced expiratory volume in 1 second (FEV1) 50% of predicted normal. * Prior exposure to CC-220 (± low-dose dexamethasone) as part of their most recent antimyeloma treatment regimen (Arm A). * Prior exposure to BMS-986405 (JSMD194) (Arm B). * Previous history of an allogeneic hematopoietic stem cell transplantation, treatment with any gene therapy-based therapeutic for cancer, investigational cellular therapy for cancer or BCMA targeted therapy. * Treatment Arm A Cohort 1 and Arm B: participant has received autologous stem cell transplantation (ASCT) within 12 weeks prior to leukapheresis. * Treatment Arm A Cohort 2: participant has received autologous stem cell transplantation (ASCT) within 12 months prior to leukapheresis.