Surgery and Combination Chemotherapy in Treating Children With Extracranial Germ Cell Tumors

Inclusion Criteria: * Extracranial germ cell tumor that contains 1 of the following malignant histologies: NOTE: Mixed germ cell tumors that include mature/immature teratoma are eligible provided 1 of the 3 histologies listed above is also present in the tumor. * Yolk sac tumor * Embryonal carcinoma * Choriocarcinoma * Low-risk disease (closed to accrual as of 01/20/10) * Stage I gonadal tumors (ovarian and testicular) * Must have undergone complete surgical and radiologic staging to exclude the possibility of \> stage I disease * Intermediate-risk disease * Stage II, III, or IV malignant testicular GCT * Stage II or III malignant ovarian GCT * Stage I or II malignant extragonadal GCT * Previously stage I gonadal patients who have relapsed on the low-risk (observation) stratum of this study(closed to accrual as of 01/20/10) * Patients with immature teratoma or mature teratoma who relapse with a malignant component * No patients with any of the following diagnoses: * Stage IV ovarian and stage III-IV extragonadal GCT * Intracranial GCT * Pure mature or immature teratoma, pure dysgerminoma, or seminoma * Patients with a non-germ cell component in their GCT (e.g., primitive neuroectodermal tumors or rhabdomyosarcoma) * Alpha-fetoprotein and beta human chorionic gonadotropin tumor markers known * If \> 5 days have elapsed from the time of obtaining original markers, tumor markers must be repeated before enrollment of low-risk patients and befor…