Testing the Addition of an Anti-cancer Drug, Lenalidomide, to the Usual Combination Chemotherapy Treatment ("EPOCH") for Adult T-Cell Leukemia-Lymphoma (ATLL)

Inclusion Criteria: * Patients must have histologically or cytologically confirmed CD2+, CD3+, or CD4+ acute, lymphoma or poor-risk chronic subtypes of ATLL including previously untreated or previously treated individuals who have received no more than 1 previous cycle of EPOCH, cyclophosphamide, doxorubicin, vincristine and prednisone (CHOP), or cyclophosphamide, doxorubicin, vincristine, prednisone, and etoposide (CHOPE) * Patients previously treated with azidothymidine (AZT), interferon (IFN), bexarotene, or mogamulizumab are eligible. Patients with stable disease at high risk of relapse from prior non-combination chemotherapy containing treatment are eligible to participate * Documentation of HTLV infection by enzyme-linked immunosorbent assay (ELISA) in individuals with confirmation of HTLV-1 infection (by immunoblot or polymerase chain reaction \[PCR\]) or a consistent clinical picture (including two of three of: 1) CD4+ leukemia or lymphoma, 2) hypercalcemia, and/or 3) Japanese, Caribbean, or South American birthplace) is required for enrollment. Confirmation of HTLV-1 infection is required to continue the subject on protocol after the first cycle of therapy. Patients will be enrolled based on reports from local or referral labs (e.g., Mayo Clinic or LabCorp). Confirmation will be performed by Ratner Lab at Washington University, retrospectively, but this is not a Clinical Laboratory Improvement Amendments (CLIA) assay and is not reimbursed by insurance * Age ≥ 18 yea…