Certain patients currently enrolled in a NIH study of IL-2 treatment may participate in a phase of the study that adds a corticosteroid, such as hydrocortisone, prednisone, or prednisonolone, to the regimen. Patients whose CD4 counts did not increase with IL-2 will receive corticosteroids (by mouth or by vein) in an open manner. Patients who responded to IL-2 therapy will be randomly assigned to receive corticosteroids or a placebo (inactive substance) during IL-2 infusions in a blinded manner, so that neither the patient nor the medical staff will know which patients are receiving the drug and which are receiving a placebo. Participants will be requested to receive at least three rounds of treatment with corticosteroid or placebo.