 This phase III trial is studying surgery followed by combination chemotherapy to see how well it works in treating children with germ cell tumors that are not located in the head. Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Combining more than one drug, and giving them after surgery, may kill any remaining tumor cells following surgery. It is not yet known whether combination chemotherapy is effective in decreasing the recurrence of childhood germ cell tumors. 