Chemotherapy With or Without Additional Chemotherapy and/or Radiation Therapy in Treating Children With Newly Diagnosed Hodgkin's Disease

Inclusion Criteria: * Patients with newly diagnosed, pathologically confirmed Hodgkin disease (all histologies) are eligible for this protocol if they meet the following clinical stage guidelines: * All Stage IB regardless of bulk disease * All Stage IIB regardless of bulk disease * Stage IA only with bulk disease * Stage IIA only with bulk disease * All Stage IAE, IIAE regardless of bulk disease * All Stage IIIA, IIIAE, IIIAS, IIIAE+S regardless of bulk disease * All Stage IVA, IVAE regardless of bulk disease * May not be staged by laparotomy alone * Surgically staged patients must also have presurgical staging * Bilirubin no greater than 1.5 times normal * SGOT or SGPT less than 2.5 times normal * Creatinine no greater than 1.5 times normal * Creatinine clearance greater than 40 mL/min * Radioisotope glomerular filtration rate greater than 70 mL/min * Shortening fraction at least 27% by echocardiogram * Ejection fraction at least 50% by MUGA * No pathologic prolongation of QTc interval on 12-lead electrocardiogram * FEV\_1/FVC greater than 60% by pulmonary function test * Pulse oximetry greater than 94% * No evidence of dyspnea at rest * No exercise intolerance * Adequate venous access * Not pregnant or nursing * Negative pregnancy test * Fertile patients must use effective contraception * No prior chemotherapy * At least 1 month since prior corticosteroids except prednisone for respiratory distress * No prior radiotherapy