Patients receive irinotecan hydrochloride intravenously (IV) over 90 minutes on day 1, leucovorin calcium IV over 2 hours on day 1, fluorouracil IV continuously over 46 hours on days 1-2, bevacizumab IV over 30-90 minutes on day 1, and sorafenib tosylate orally (PO) once (QD) or twice daily (BID) on days 3-6 and 10-13*. Courses repeat every 14 days in the absence of disease progression or unacceptable toxicity.