Dasatinib in Treating Young Patients With Recurrent or Refractory Solid Tumors or Philadelphia Chromosome-Positive Acute Lymphoblastic Leukemia or Chronic Myelogenous Leukemia That Did Not Respond to Imatinib Mesylate

Inclusion Criteria: Histologically confirmed diagnosis of 1 of the following: Malignant extracranial solid tumor Recurrent or refractory disease Known bone marrow metastases* allowed Imatinib mesylate-resistant Philadelphia chromosome-positive (Ph+) acute lymphoblastic leukemia (ALL), defined as M3 bone marrow in a patient who previously received imatinib mesylate-containing treatment regimen Imatinib mesylate-resistant Ph+ chronic myelogenous leukemia (CML), as defined by any of the following: Increasing WBC or platelet count while on imatinib mesylate therapy Lack of any cytogenetic response after an adequate duration of imatinib mesylate therapy, as defined by 1 of the following: Failed to achieve a complete hematologic response after completion of 3 months of imatinib mesylate treatment Failed to achieve a partial or complete cytogenetic response (i.e., ≤ 35% Ph+ cells) after 6 months of imatinib mesylate treatment Appearance of accelerated or blastic feature while on imatinib mesylate therapy Reappearance of Ph+ clones after an initial complete cytogenetic response to imatinib mesylate More than 30% increase in Ph+ cells in peripheral blood or bone marrow cytogenetics while on imatinib mesylate therapy Imatinib mesylate intolerance, as defined by development of adverse effects requiring discontinuation of imatinib mesylate therapy Measurable disease (for patients with CML or ALL) Determined by hematologic, cytogenetic, and molecular studies for CML Determined by bone marrow blast percentage for ALL Measurable or evaluable disease (for patients with solid tumors) No known curative therapy or survival-prolonging therapy with an acceptable quality of life No CNS solid tumors CNS-positive leukemia allowed Karnofsky performance status (PS) ≥ 50% (for patients > 10 years of age) Lansky PS ≥ 50% (for patients ≤ 10 years of age) No evidence of graft-vs-host disease Solid tumors: Absolute neutrophil count ≥ 1,000/mm^3 (750/mm^3 if bone marrow infiltration) Platelet count ≥ 100,000/mm^3 (transfusion independent) (50,000/mm^3 if bone marrow infiltration) Hemoglobin ≥ 8.0 g/dL (red blood cell [RBC] transfusions allowed) ALL/CML: Platelet count ≥ 20,000/mm^3 (platelet transfusions allowed) Hemoglobin ≥ 8.0 g/dL (RBC transfusions allowed) Creatinine clearance or radioisotope glomerular filtration rate ≥ 70 mL/min OR creatinine based on age, as follows: No greater than 0.6 mg/dL (1-23 months of age) No greater than 0.8 mg/dL (2- 5 years of age) No greater than 1.0 mg/dL (6-9 years of age) No greater than 1.2 mg/dL (10-12 years of age) No greater than 1.4 mg/dL (13 years of age and over [female]) No greater than 1.5 mg/dL (13-15 years of age [male]) No greater than 1.7 mg/dL (16 years of age and over [male]) Bilirubin ≤ 1.5 times upper limit of normal (ULN) ALT ≤ 110 U/L Albumin ≥ 2 g/dL Normal 12-lead EKG with corrected QTc < 450 msec AND meets 1 of the following criteria: Shortening fraction normal Ejection fraction normal No evidence of dyspnea at rest No exercise intolerance Pulse oximetry > 94% if there is a clinical indication for determination Not pregnant or nursing Negative pregnancy test Fertile patients must use effective contraception No uncontrolled infection No swallowing dysfunction that would prevent taking an oral or liquid medication See Disease Characteristics Recovered from prior chemotherapy, immunotherapy, or radiotherapy No myelosuppressive chemotherapy within the past 3 weeks (6 weeks for nitrosoureas) At least 7 days since prior growth factors At least 14 days since prior pegfilgrastim At least 7 days since prior biologic agents At least 2 weeks since prior local small-port palliative radiotherapy At least 3 months since prior total-body irradiation, craniospinal radiation, or radiation to ≥ 50% of the pelvis At least 6 weeks since other prior substantial bone marrow radiation At least 3 months since prior stem cell transplantation Hydroxyurea cytoreduction for Ph+ leukemia allowed provided it is discontinued 24 hours before first dose of dasatinib Prior intrathecal (IT) therapy allowed (for patients with CNS-positive leukemia) Concurrent IT therapy comprising hydrocortisone, cytarabine, methotrexate, or cytarabine (liposomal) allowed (for patients with CNS-positive leukemia) No other concurrent investigational drugs No other concurrent anticancer agents, including chemotherapy, radiotherapy, immunotherapy, or biologic therapy No concurrent enzyme-inducing anticonvulsants, including any of the following: Phenytoin Phenobarbital Carbamazepine Felbamate Primdone Oxcarbazepine No concurrent antithrombotic or antiplatelet agents, including any of the following: Warfarin Heparin Low-molecular weight heparin Aspirin Ibuprofen Other nonsteroidal anti-inflammatory drugs No concurrent CYP3A4 inhibitors, including itraconazole, ketoconazole, and voriconazole No concurrent highly active antiretroviral treatment for HIV-positive patients