OUTLINE: Randomized study. All patients are randomly assigned to Arms IA through ID for Induction. Patients who achieve CR and who have adequate organ function and performance status are then randomly assigned to Arm IIA or IIB for Consolidation. At selected centers, patients in CR after their first Consolidation course who are under age 71 and in very good clinical condition are treated on Regimen A (in lieu of a second Consolidation course). The following acronyms are used: AMSA Amsacrine, NSC-249992 ARA-C Cytarabine, NSC-63878 BAVC BCNU/AMSA/VP-16/ARA-C BCNU Carmustine, NSC-409962 DHAD Mitoxantrone, NSC-301739 G-CSF Granulocyte Colony-Stimulating Factor (Rhone-Poulenc Rorer) IDA Idarubicin, NSC-256439 MICE DHAD/ARA-C/VP-16 Mini-ICE IDA/ARA-C/VP-16 PBSC Peripheral Blood Stem Cells VP-16 Etoposide, NSC-141540 INDUCTION: Arm IA: 3-Drug Combination Chemotherapy. MICE. Arm IB: 3-Drug Combination Chemotherapy plus Hematologic Toxicity Attenuation. MICE; plus G-CSF. G-CSF during chemotherapy. Arm IC: 3-Drug Combination Chemotherapy plus Hematologic Toxicity Attenuation. MICE; plus G-CSF. G-CSF after chemotherapy. Arm ID: 3-Drug Combination Chemotherapy plus Hematologic Toxicity Attenuation. MICE; plus G-CSF. G-CSF during and after chemotherapy. CONSOLIDATION: Arm IIA: 3-Drug Combination Chemotherapy. Mini-ICE. Intravenous IDA/VP-16/ARA-C. Arm IIB: 3-Drug Combination Chemotherapy. Mini-ICE. Oral IDA/VP-16 + subcutaneous ARA-C. Regimen A: Stem Cell Mobilization followed by 4-Drug Combination Myeloablative Chemotherapy with Stem Cell Rescue. G-CSF; followed by BAVC; with PBSC.