OUTLINE: Randomized study. All patients are randomized to Arms I, II, and III for Induction/Consolidation. Patients in CR following Consolidation who have an HLA-identical sibling, are less than 45 or 55 years of age (depending on center policy), and have adequate organ function are nonrandomly assigned to AlBMT on Regimen A; those in CR who are without an available sibling donor and who have adequate organ function proceed to Regimen B, then are randomized to Arms IV and V. The following acronyms are used: AlBMT Allogeneic Bone Marrow Transplant ARA-C Cytarabine, NSC-63878 AuBMT Autologous Bone Marrow Transplant BU Busulfan, NSC-750 CTX Cyclophosphamide, NSC-26271 DCE DNR/ARA-C/VP-16 DHAD Mitoxantrone, NSC-301739 DIA DNR/ID ARA-C DNR Daunorubicin, NSC-82151 G-CSF Granulocyte Colony-Stimulating Factor (Rhone-Poulenc-Rorer) ICE IDA/ARA-C/VP-16 IDA Idarubicin, NSC-256439 ID Intermediate Dose IDIA IDA/ID ARA-C Mesna Mercaptoethane sulfonate, NSC-113891 MICE DHAD/ARA-C/VP-16 NOVIA DHAD/ID ARA-C PBSC Peripheral Blood Stem Cells TBI Total-Body Irradiation VP-16 Etoposide, NSC-141540 INDUCTION/CONSOLIDATION: Arm I: 3-Drug Combination Chemotherapy followed by 2-Drug Combination Chemotherapy. ICE; followed by IDIA. Arm II: 3-Drug Combination Chemotherapy followed by 2-Drug Combination Chemotherapy. MICE; followed by NOVIA. Arm III: 3-Drug Combination Chemotherapy followed by 2-Drug Combination Chemotherapy. DCE; followed by DIA. POSTCONSOLIDATION THERAPY: Regimen A: Single-Agent Chemoablation plus Radioablation or 2-Drug Chemoablation followed by Hematopoietic Rescue. CTX; plus TBI (equipment unspecified); or CTX/BU; followed by AlBMT. Entry on EORTC study comparing CI IDA with standard CTX/TBI or CTX/BU encouraged. Regimen B: Stem cell Mobilization and Harvest. G-CSF or CTX/G-CSF. Arm IV: Single-Agent Chemoablation plus Radioablation or 2-Drug Chemoablation followed by Hematopoietic Rescue. CTX/TBI or CTX/BU; followed by PBSC. Arm V: Single-Agent Chemoablation plus Radioablation or 2-Drug Chemoablation followed by Hematopoietic Rescue. CTX/TBI or CTX/BU; followed by AuBMT.