OUTLINE: Patients are assigned to one of two treatment arms for chemotherapy (chemotherapy protocol following FHCRC-506.2). Patients undergo mobilization and isolation of CD34+ cells as described in FHCRC-506.2. Peripheral blood stem cells are collected by apheresis and the CD34+ cells are isolated using magnetic beads. Monoclonal antibodies to CD19 and CD20 are added to the CD34+ cells to sensitize any remaining tumor cells. Patients undergo transplantation on day 0, according to applicable transplant protocols, one month after mobilization. Some patients may receive posttransplant interleukin-2 after achieving durable engraftment. Patients are followed at day 30, 80, 180, 365, and 395.