Expanded Cohort for Metastatic Colorectal Cancer (MCRC) Using Bevacizumab + Everolimus

Inclusion Criteria: * Patients must have histologically confirmed adenocarcinoma of the colon or rectum that has progressed on, or patient could not tolerate, fluoropyrimidine, oxaliplatin, irinotecan, and cetuximab and/or panitumumab chemotherapy. Disease must be measurable or evaluable by Response Evaluation Criteria in Solid Tumors (RECIST) criteria * Patients must not have had radiation therapy, hormonal therapy, biologic therapy or chemotherapy for cancer within the 28 days prior to study day 1. Patients must not have had major surgery within the 28 days prior to study day 1 or minor surgical procedures within the 7 days prior to study day 1. * Age \>18 years. * Karnofsky performance status \> 70 percent * Life expectancy of at least 3 months. * Patients must have normal organ and marrow function as defined in the protocol * The effect of the investigational drugs on the developing human fetus is not known, but these drugs are likely to be embryo- and feto- toxic. Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation. Should a woman become pregnant or suspect she is pregnant while she or her partner are participating in this study, she should inform her treating physician and study PI immediately. Oral, implantable, or injectable contraceptives may be affected by cytochrome P450 interactions, and are therefore not considered effective for this study. Patients who are pregnant and/or lactating are excluded from this study. * Ability to understand and the willingness to sign a written informed consent document. Exclusion Criteria: * Patients who have had radiation therapy, hormonal therapy, biologic therapy, or chemotherapy for cancer within the 28 days prior to day 1 of the study. * Patients who have received any other investigational agents within the 28 days prior to day 1 of the study. * Patients with known central nervous system (CNS) metastases. * Inadequately controlled hypertension (defined as systolic blood pressure \>150 and/or diastolic blood pressure \> 100 mmHg). Initiation of antihypertensive is permitted provided adequate control is documented over at least 1 week before starting treatment. * Significant vascular disease (e.g., aortic aneurysm, aortic dissection) * Symptomatic peripheral vascular disease * Evidence of bleeding diathesis or coagulopathy. Patients on therapeutic anticoagulation may be enrolled provided that they have been clinically stable on anti-coagulation for at least 2 weeks. * Major surgical procedure, open biopsy, or significant traumatic injury within 28 days prior to study enrollment (56 days for hepatectomy, open thoracotomy, major neurosurgery) or anticipation of need for major surgical procedure during the course of the study * Core biopsy or other minor surgical procedure excluding study-related procedures or placement of a vascular access device, within 7 days prior to expected start of treatment. * History of abdominal fistula, gastrointestinal perforation, or intra-abdominal abscess within 6 months prior to study enrollment * Serious, non-healing wound, ulcer, or bone fracture * Proteinuria at screening as demonstrated by either Urine protein:creatinine (UPC) ratio greater than or equal to 1.0 at screening * Any prior history of hypertensive crisis or hypertensive encephalopathy * New York Heart Association (NYHA) Grade II or greater congestive heart failure (see Appendix G) * History of myocardial infarction, unstable angina, cardiac or other vascular stenting, angioplasty, or surgery within 6 months prior to study enrollment * History of stroke or transient ischemic attack within 6 months prior to study enrollment * History of intolerance or hypersensitivity to prior treatment with bevacizumab or RAD001. * Chronic treatment with systemic steroids or another immunosuppressive agent, though steroids may be used on an as-needed basis - ie - for treatment of nausea. Treatment with megace or low dose glucocorticoids is permitted for treatment of anorexia. * Other concurrent severe and/or uncontrolled medical disease which could compromise safety of treatment as so judged by treating physician * A known history of HIV seropositivity, hepatitis C virus, acute or chronic active hepatitis B infection, or other serious chronic infection requiring ongoing treatment. * Impairment of gastrointestinal function or gastrointestinal disease that may significantly alter drug absorption (e.g., inflammatory bowel disease, uncontrolled nausea, vomiting, diarrhea, malabsorption syndrome or significant small bowel resection) * Patients with an active, bleeding diathesis or on oral anti-vitamin K medication (except coumadin). No history of active GI bleeding or other major bleeding within previous 6 months. * Patients unwilling to or unable to comply with the protocol * Medical need for the continuous administration of any drugs which affect Cytochrome P450, family 3, subfamily A (CYP3A), though the use of low dose glucocorticoids for anorexia and /or nausea is permitted. * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, or psychiatric illness/social situations that would limit safety or compliance with study requirements or may interfere with the interpretation of the results. * History of interstitial lung disease e.g. pneumonitis or pulmonary fibrosis or any evidence of interstitial lung disease on baseline chest CT scan.