OUTLINE: This is a dose-escalation, multicenter study. Patients are stratified by center, duration of complete remission (CR) (less than 18 months vs 18 months or more), and refractory disease (yes vs no). Patients with refractory or relapsed disease after a CR of less than 18 months are treated on Regimen A. Patients in first relapse after a CR of 18 months or more are treated on Regimen B. Regimen A: Patients receive idarubicin IV over 30 minutes followed by cytarabine IV over 3 hours on days 1-3 and filgrastim (G-CSF) subcutaneously (SC) daily beginning on day 5 and continuing until blood counts recover. Regimen B (2-phase reinduction): Patients receive oral prednisolone on days 1-21; vindesine IV and daunorubicin IV on days 1, 8, and 15; asparaginase IV on days 7, 8, 14, and 15; and methotrexate intrathecally (IT), cytarabine IT, and dexamethasone IT on days 1 and 8. When blood counts recover, patients receive oral prednisolone and ifosfamide IV over 1 hour on days 1-4; high-dose methotrexate IV continuously on day 1 followed by standard leucovorin calcium rescue; etoposide IV over 1 hour followed at least 8 hours later by cytarabine IV over 3 hours on days 3 and 4; and G-CSF SC beginning on day 6 and continuing until blood counts recover. Cohorts of 6 patients or more receive escalating doses of etoposide and cytarabine until the maximum tolerated dose is determined.