1. Any patient with a hematologic malignancy with residual disease (morphological, cytogenetic, molecular, or radiographic) after treatment with 1 or more chemotherapy regimens in whom achievement of remission with additional chemoradiotherapy is felt to be unlikely or who is in 3rd or greater CR. Patients with marrow based diseases in which the marrow biopsy does not meet criteria for active disease (i.e. <5% blasts in acute leukemia) but who does not have full count recovery will be eligible for treatment on this high risk trial.