Inclusion Criteria:

• Men or women at least 18 years old.
• Subjects must have a pathologically documented, and definitively diagnosed, advanced solid tumor that is refractory to standard treatment, for which no standard therapy is available, or for subjects who refuse standard therapy.
• Subjects enrolling in arms E & F and G & H must have pathologically documented and definitively diagnosed advanced renal cell carcinoma.
• Measurable disease or evaluable (non-measurable) disease per Response Evaluation Criteria in Solid Tumors (RECIST) guidelines.
• Eastern Cooperative Oncology Group (ECOG) performance status up to 2.
• Subjects must be able to self-administer AMG 706 (arms B and D) or sorafenib (arms E and F) on an empty stomach (fasting for 1 hour before and 1 hour postdose) once daily for AMG 706 or twice daily for sorafenib. Subjects enrolling in arms G and H must be able to self-administer sunitinib once daily.

Exclusion Criteria:

• History of lymphoma or leukemia.
• Symptomatic or untreated central nervous system metastases requiring concurrent treatment, inclusive of but not limited to surgery, radiation, and corticosteroids.
• Subjects with head and neck cancer.
• Subjects with lung squamous cell tumors or with large central (located adjacent to or within the hilum or mediastinum) tumor lesions ≥ 3 centimeters, regardless of histology
• For arms A and C: Subjects with ovarian cancer.
• History of arterial or venous thrombosis or pulmonary embolism within 1 year before enrollment; history of bleeding diathesis.
• Cardiovascular events within 1 year before enrollment, such as myocardial infarction, unstable/severe angina, coronary/peripheral artery bypass graft, unstable cardiac arrhythmia requiring medication, symptomatic congestive heart failure (New York Heart Association >class II), cerebrovascular accident or transient ischemic attack.
• For arms G and H: LVEF ≤ 45%, heart rate < 50 / min.
• Chronic uncontrolled hypertension [diastolic > 85 mmHg; systolic >145 mmHg].
• History of pulmonary hemorrhage or gross hemoptysis within 6 months before enrollment.
• History of significant GI surgery or disease, which would impair absorption.
• Unresolved toxicities from prior anti-cancer therapy, defined as having not resolved to Common Terminology Criteria for Adverse Events (CTCAE) grade 0 or 1, or to levels dictated in the inclusion/exclusion criteria with the exception of alopecia.
• Active infection within 2 weeks before enrollment.
• Subject known to have tested positive for HIV.
• Subject known to have chronic hepatitis (e.g., hepatitis B or hepatitis C).
• Coumarin anticoagulants including warfarin, at doses greater than 2 mg/day. The concurrent use of low molecular weight heparin or low dose warfarin (ie, ≤ 2 mg daily for prophylaxis against central venous catheter thrombosis is acceptable.
• Treatment with anti-cancer therapy within 30 days before study day 1 (treatment with bevacizumab within 42 days before study day 1) unless prior written approval is received from the sponsor
• Hormonal anti-tumor therapy within 30 days before enrollment. Does not include hormones for non-cancer related conditions (eg, insulin for diabetes, HRT) or the use of gonadotropin-releasing hormone (GnRH) agonists for prostate cancer
• Therapeutic or palliative radiation therapy within 2 weeks before enrollment
• Prior treatment with AMG 386
• Prior radiation therapy to the abdomen
• For arms A, B, C, and D: prior treatment with bevacizumab, sorafenib, sunitinib, or investigational agents known to directly inhibit the functions of vascular endothelial growth factor, vascular endothelial growth factor receptors, angiopoietins, or angiopoietin receptors, unless prior written approval is received from the sponsor
• For arms E and F: prior treatment with sorafenib, unless prior written approval is received from the sponsor
• For arms G and H: prior treatment with sunitinib, unless prior written approval is received from the sponsor
• For arms E & F and G & H: treatment with bevacizumab within 42 days before study day 1, unless prior written approval is received from the sponsor
• Major surgery within 30 days before enrollment or recovering from prior surgery
• Subject who is pregnant or nursing