This randomized phase III trial is studying cyclophosphamide, prednisone, and immunoglobulin to see how well they work compared to cyclophosphamide and prednisone alone in treating patients with abnormal eye and trunk muscle movements (known as opsoclonus myoclonus ataxia) associated with neuroblastoma. Drugs used in chemotherapy work in different ways to stop tumor cells from dividing so they stop growing or die. Steroid therapy decreases inflammation. Combining chemotherapy and steroid therapy with immunoglobulin may be effective in treating abnormal muscle movement associated with neuroblastoma. Chemotherapy(cyclophosphamide), prednisone and intravenous gamma globulin all suppress the immune system which may be helpful in treating opsoclonus-myoclonus-ataxia (OMA).