ABT-751 in Treating Children With Neuroblastoma That Has Relapsed or Not Responded to Previous Treatment

Inclusion Criteria: * Histologically or cytologically confirmed neuroblastoma meeting the following criteria: * Refractory or relapsed disease * No curative treatment option and no additional therapy proven to prolong survival with an acceptable quality of life is available * Evidence of disease progression (enlargement of existing measurable tumors or the appearance of new tumors) during prior treatment OR biopsy-proven viable neuroblastoma if stable disease but refractory to prior treatment * Previously irradiated soft tissue or bony lesion must meet ≥ 1 of the following criteria: * Viable neuroblastoma determined by biopsy ≥ 6 weeks after radiation therapy * Growth in the lesion determined by CT scan or MRI * Measurable or evaluable disease * Measurable disease is defined as ≥ 20 mm in ≥ 1 dimension by MRI, CT scan, or x-ray OR ≥ 10 mm in ≥ 1 dimension by spiral CT scan * Evaluable disease is defined as iodine I 123 metaiodobenzylguanidine (\^123I MIBG)-positive lesion at ≥ 1 site * Must not have measurable disease by CT scan or MRI * No elevated urinary catecholamines and/or bone marrow evidence of tumor, without measurable or evaluable disease by imaging modalities (CT scan, MRI, or \^123I MIBG) * Karnofsky performance status (PS) 50-100% (\> 16 years of age) OR Lansky PS 50-100% (≤ 16 years of age) * Life expectancy ≥ 8 weeks * Hemoglobin ≥ 7.5 g/dL (transfusions allowed) * Absolute neutrophil count \> 250/mm³ * Platelet count \> 25,000/mm³ (without platelet transfusion support for ≥ 7 days) * Bilirubin ≤ 1.5 times upper limit of normal (ULN) * ALT \< 5 times ULN * Creatinine normal for age and gender as follows: OR creatinine clearance or radioisotope glomerular filtration rate ≥ 60 mL/min * No greater than 0.4 mg/dL (≤ 5 months) * No greater than 0.5 mg/dL (6 months-11 months) * No greater than 0.6 mg/dL (1 year-23 months) * No greater than 0.8 mg/dL (2 years-5 years) * No greater than 1.0 mg/dL (6 years-9 years) * No greater than 1.2 mg/dL (10 years-12 years) * No greater than 1.4 mg/dL (13 years and over \[female\]) * No greater than 1.5 mg/dL (13 years to 15 years \[male\]) * No greater than 1.7 mg/dL (16 years and over \[male\]) * Shortening fraction ≥ 27% by echocardiogram * Not pregnant or nursing * Negative pregnancy test * Fertile patients must use effective double-barrier contraception during and for 90 days after completion of study treatment * Seizure disorder allowed if controlled and receiving anticonvulsants * Neurologic toxicity from prior therapy or tumor involvement ≤ grade 2 * No evidence of active graft-vs-host disease * No allergy to sulfa-containing medications * No known HIV positivity * No clinically significant unrelated systemic illness (e.g., serious infection) that would limit study compliance * Concurrent filgrastim (G-CSF) allowed if medically indicated * Recovered from all prior therapy * No prior ABT-751 * More than 2 weeks since prior myelosuppressive chemotherapy * More than 7 days since prior anticancer biologic agents (e.g., retinoids) * More than 4 weeks since prior palliative radiation therapy (small port) or therapeutic \^123I MIBG * More than 6 weeks since prior substantial radiation therapy (\> 50% pelvis, craniospinal, or total-body radiation) * More than 4 months since prior allogeneic stem cell transplantation (SCT) (2 months for autologous SCT) and recovered * Infusion of autologous peripheral blood mononuclear cells without high-dose chemotherapy or preparative regimen is not considered SCT * More than 30 days since prior investigational drug therapy * More than 30 days since prior immunotherapy (monoclonal antibody therapy or vaccine therapy) * More than 1 week since prior growth factor treatment * No other concurrent anticancer agents, including chemotherapy, immunomodulating agents, or biologic therapy (retinoids) * No concurrent radiation therapy, including palliative radiation therapy * No concurrent treatment for graft-vs-host disease * No concurrent epoetin alfa, sargramostim (GM-CSF), or interleukin-11