OUTLINE: This is a multicenter study. Patients are enrolled sequentially on 1 of 3 pilot intensification regimens. After surgery to completely remove the primary tumor, patients are assigned to 1 of 2 adjuvant chemotherapy groups based on percent necrosis at limb salvage. Pilot 1: (Closed to accrual as of 6/2/2000) Patients receive dexrazoxane IV followed immediately by doxorubicin IV over 20 minutes plus cisplatin IV over 4 hours on days 1 and 2 of weeks 1 and 6. Methotrexate IV over 4 hours is administered on day 1 of weeks 4, 5, 9, and 10. Patients undergo surgery on week 11. Adjuvant chemotherapy begins on day 1 of week 13. Group 1 (good response to neoadjuvant chemotherapy): Patients receive methotrexate IV over 4 hours every 3 weeks for 6 courses, beginning on week 13. Patients also receive dexrazoxane and doxorubicin every 3 weeks for 4 courses, beginning on week 14. Cisplatin is administered with the first 2 courses of dexrazoxane and doxorubicin. Group 2 (standard response to neoadjuvant chemotherapy): Patients receive methotrexate and cisplatin as in group 1 plus dexrazoxane and doxorubicin for 6 courses. Pilot 2: Patients receive preoperative therapy comprised of dexrazoxane, doxorubicin, and methotrexate as in pilot 1. Ifosfamide IV over 4 hours is also administered on days 1-5 of week 1. Patients undergo surgery on week 11, then begin adjuvant chemotherapy on week 13. Group 1: Patients receive methotrexate, dexrazoxane, and doxorubicin as in pilot 1, group 1. Ifosfamide is also administered on weeks 14 and 20. Cisplatin is administered on weeks 17, 23, and 26. Group 2: Patients receive methotrexate, dexrazoxane, and doxorubicin as in pilot 1, group 2. Ifosfamide is administered on weeks 14, 20, 26, and 31. Cisplatin is administered on weeks 17, 23, and 29. Pilot 3: (Open to accrual as of 6/2/2000) Patients receive preoperative therapy comprised of methotrexate, dexrazoxane, doxorubicin, ifosfamide, and cisplatin as in pilot 2. Patients undergo surgery on week 11, then begin adjuvant chemotherapy on week 13. Group 1: Patients receive methotrexate, dexrazoxane, doxorubicin, ifosfamide, and cisplatin as in pilot 2, group 1. Group 2: Patients receive methotrexate on weeks 13, 19, 29, 32, 35, and 36, high dose ifosfamide and etoposide IV over 4 hours on days 1-5 of weeks 14, 23, and 26, and cisplatin on weeks 20, 30, and 33. Dexrazoxane and doxorubicin are administered on weeks 17, 20, 30, and 33. Patients are followed every 3 months for 1 year, every 6 months for 4 years and then annually thereafter.