(This study has been changed from an 8-drug regimen to a 7-drug regimen. Patients no longer receive the drug hydroxyurea [HU].) Doctors are seeing many HIV-positive children who did not get good long-term results from the current anti-HIV drugs. Some doctors believe anti-HIV drugs fail because drug levels in the body are too low. In this study, doctors will give patients 7 drugs, some at higher doses than normal. Since it is very important that patients on the study take all of these drugs, doctors will make it as easy as possible. Doctors want to try this because children with advanced AIDS have few treatment choices.