Patients who have had an echocardiogram performed within months prior to step randomization must have ventricular ejection fraction (left ventricular ejection fraction [LVEF]) >= % or >= within normal limits for the institution Patients must have ejection fraction >= % based on echocardiogram performed within days prior to registration Transthoracic echocardiogram with ejection fraction > % Cardiac ejection fraction (left ventricular ejection fraction [LVEF]) >= % by echocardiogram =< days prior to registration Left ventricular ejection fraction (LVEF) >= % calculated by echocardiogram (ECHO) PART I: Baseline left ventricular ejection fraction (LVEF) by dimensional (D) echocardiogram >= % Echocardiogram demonstrated left ventricular ejection fraction >= %. Left ventricular ejection fraction < % as measured on transthoracic echocardiogram Left ventricular ejection fraction (LVEF) < % as assessed by echocardiogram or radionuclide angiography Within two weeks prior to enrollment: Left ventricular ejection fraction (LVEF) >= % as determined an echocardiogram Left ventricular ejection fraction (LVEF) < % as assessed by echocardiogram or radionuclide angiography Echocardiogram demonstrating left ventricular ejection fraction (LVEF) >= % Left ventricular ejection fraction (LVEF) ejection fraction (EF) >= of % (by echocardiogram or MUGA scan within weeks of registration), within weeks of registration (except where specified otherwise) Left ventricular ejection fraction (LVEF) < % as assessed by echocardiogram or radionuclide angiography Have a -dimensional (D) echocardiogram with left ventricular ejection fraction = or > % in order to receive epirubicin; subjects with inadequate ejection fraction (EF) or other contraindication can proceed on study without the use of epirubicin Patients with left ventricular ejection fraction < % or % decrease from baseline on echocardiogram after anthracycline based chemotherapy Left ventricular ejection fraction (LVEF) assessed by echocardiogram within months prior to initiation of study treatment indicates an LVEF of >= % Left ventricular ejection fraction (LVEF) < % (evaluated by echocardiogram or magnetic resonance imaging [MRI]) Left ventricular ejection fraction: < % estimated by echocardiogram (ECHO) RECIPIENT: Left ventricular ejection fraction > %, preferably by -dimensional (-D) echocardiogram (echo) obtained within days of enrollment Left ventricular ejection fraction > %, preferably by two dimensional (-D) echocardiogram (ECHO), obtained within days of enrollment; if the patient has radiological evidence of aortic, renal artery, or coronary artery vasculitis, a left ventricular ejection fraction > % is acceptable Normal echocardiogram (ECHO) (Left ventricular ejection fraction [LVEF] has to be within normal, institutional limits) Left ventricular ejection fraction (LVEF) >= % as measured by echocardiogram during screening evaluation Echocardiogram with normal ejection fractions Symptomatic congestive heart failure or radionuclide ventriculogram (RVG) or echocardiogram determined left ventricular ejection fraction of < %, active angina pectoris, or uncontrolled hypertension Within days of registration: Left ventricular ejection fraction (echocardiogram within months permitted) >= % Subjects who have a left ventricular ejection fraction (LVEF) < %, as assessed by echocardiogram performed at screening Patients must have either echocardiogram (ECHO) with ejection fraction >= % within days prior to registration Normal echocardiogram (ECHO) (left ventricular ejection fraction [LVEF] has to be within normal, institutional limits) Left Ventricular Shortening Fraction (LVSF) ? % confirmed by echocardiogram, or Left Ventricular Ejection Fraction (LVEF) ? % confirmed by echocardiogram or MUGA within days of screening Hemodynamically stable and Left Ventricle Ejection Fraction (LVEF) ? % confirmed by echocardiogram or Multigated Radionuclide Angiography (MUGA) Symptomatic congestive heart failure or evidence of left ventricular dysfunction (ejection fraction < %) as measured by gated radionucleotide ventriculogram or echocardiogram; active angina pectoris, or uncontrolled hypertension Active symptomatic ischemic heart disease, myocardial infarction or congestive heart failure within the past year; if echocardiogram (ECHO) is obtained the left ventricular ejection fraction (LVEF) should exceed % Baseline ejection fraction ? % as assessed by echocardiogram or MUGA. PHASE II: Left ventricular ejection fraction (LVEF) >= % calculated by echocardiogram (ECHO) Left ventricular ejection fraction (LVEF) of at least % as determined by MUGA or echocardiogram Baseline (< month before treatment) cardiac left ventricular function with resting ejection fraction of less than % measured by echocardiogram Left ventricular ejection fraction (LVEF) < % as assessed by echocardiogram or radionuclide angiography Left ventricular ejection fraction >= %, as determined by radionuclide ventriculography (RVG) or echocardiogram within days prior to initiation of protocol therapy Left ventricular ejection fraction >= %, as determined by RVG (MUGA) or echocardiogram within days prior to initiation of extension phase therapy (all cohorts) Active symptomatic ischemic heart disease, myocardial infarction or congestive heart failure within the past year; if echocardiogram (ECHO) is obtained, the left ventricular ejection fraction (LVEF) should exceed % Left ventricular ejection fraction <% as determined by echocardiogram (ECHO) performed at screening or within days prior to CD Adequate heart function with echocardiogram demonstrating ejection fraction >= % with no evidence of systolic dysfunction Baseline cardiac echocardiogram scan with left ventricular ejection fraction (LVEF) of >= % RECURRENT/ PROGRESSIVE DIPG (STRATUM ): Cardiac function: \r\n* Left ventricular ejection fraction >= by gated radionuclide study OR shortening fraction of >= % by echocardiogram\r\n* Patient has no ventricular arrhythmias except for benign premature ventricular contractions\r\n* Patient has a corrected QT (QTc) interval =< ms Patients with a left ventricular cardiac ejection fraction < % as assessed by an echocardiogram or MUGA scan Left ventricular ejection fraction < % as assessed by echocardiogram or radionuclide angiography. Subjects with a left ventricular cardiac ejection fraction < % as assessed by an echocardiogram or MUGA scan Left ventricular ejection fraction (LVEF) ?% by echocardiogram Left ventricular ejection fraction (LVEF) <%, as determined by screening echocardiogram (echocardiogram results obtained within days prior to screening are acceptable) Left ventricular ejection fraction (LVEF) < % by MUGA or echocardiogram Adequate cardiac function measured by left ventricular ejection fraction (LVEF) > %; if asymptomatic, pre-transplant echocardiogram is adequate; if symptomatic, echocardiogram needs to be repeated Spirometry with at least % of predicted volumes (including FEV). A left ventricular ejection fraction (LVEF) of % or more. All patients will have a screening -D Echocardiogram as part of eligibility screening. MUGA/Echocardiogram Left Ventricular Ejection Fraction < %. If in Arm D (doxorubicin and cyclophosphamide), left ventricular ejection fraction (LVEF) >= % as measured by echocardiogram (ECHO) within weeks prior to study drug administration Baseline screening echocardiogram (echo) left ventricular ejection fraction (LVEF) =< Left ventricular ejection fraction < % (evaluated by echocardiogram or MUGA scan) Left ventricular ejection fraction < % (evaluated by echocardiogram or MUGA)