OUTLINE: Patients receive induction chemotherapy with cyclophosphamide IV, doxorubicin IV, and vincristine IV on day 1, oral prednisone daily on days 2-6, and filgrastim (G-CSF) subcutaneously daily on days 6-10. Treatment is repeated every 14 days for up to 4 courses. Patients receive consolidation chemotherapy with ifosfamide IV over 24 hours and carboplatin IV on day 2, etoposide IV daily on days 1-3, and G-CSF subcutaneously on days 5-12 for course 1, and on day 5 for course 2 and continuing through peripheral blood stem cell (PBSC) collection. Treatment is repeated every 14 days for 2 courses. Following PBSC collection, patients receive total body irradiation twice a day for 4 days plus etoposide IV over 72 hours on days -6, -5, and -4 and cyclophosphamide IV daily on days -3 and -2. PBSCs are infused on day 0. Patients receive G-CSF IV or subcutaneously twice a day beginning on day 1. Patients are followed every 3 months for 2 years, every 6 months for 3 years, and annually thereafter.