INDUCTION THERAPY: Patients over 12 months old are randomized to receive amifostine or not. Patients receive etoposide IV over 45 minutes and ifosfamide IV over 2 hours on days 1-5. Amifostine IV over 15 minutes is also administered prior to ifosfamide. Patients receive G-CSF SQ (or IV over 2 hours) beginning on day 6. This course of treatment is administered on weeks 6, 12, and 18. Patients receive the VAdrC chemotherapy regimen on weeks 9 and 15. This regimen consists of vincristine IV and amifostine IV over 15 minutes on days 1, 8, and 15, cyclophosphamide IV over 30 minutes and doxorubicin IV over 48 hours on days 1 and 2, and G-CSF beginning on day 3. The VAdrC regimen is continued during local therapy on weeks 21-29 and 39-47, except the day 15 dose of vincristine is omitted, cyclophosphamide is administered on day 1 only on weeks 21, 24, 27, 39, 42, and 45, and doxorubicin is replaced with etoposide IV over 60 minutes on days 1-3 on weeks 24, 28, 42, and 45. Local therapy begins after 21 weeks of chemotherapy. Patients who respond to chemotherapy and have resectable disease undergo a complete resection with negative margins. Patients with unresectable disease or bulky lesions undergo radiotherapy. Some patients may undergo both surgery and radiotherapy. Local therapy of metastases is delayed until after week 39. Patients are followed every 3 months for 1 year, every 6 months for 2 years, then annually thereafter.