A Broad Multi-histology Phase II Study of the Multi-Kinase Inhibitor R935788 (Fostamatinib Disodium) in Advanced Colorectal, Non-small Cell Lung, Head and Neck Hepatocellular and Renal Cell Carcinomas, and Pheochromocytoma and Thyroid Tumors (Multi-H...

* INCLUSION CRITERIA: * 3.1.1 Subjects must have histologically documented solid tumors: pheochromocytoma, follicular or papillary thyroid, colorectal, non-small cell lung (excluding squamous cell histology), hepatocellular, head and neck or renal cell origin, whose disease has progressed after any number of prior therapies or who have no acceptable standard treatment options. * Patients with follicular or papillary thyroid cancer will be eligible if they have metastatic or unresectable, locally advanced disease which is refractory to, or not suitable for, I therapy. * Diagnosis of malignancy must be confirmed by the Laboratory of Pathology at the Clinical Center, National Institutes of Health (NIH), prior to patient enrollment. * 3.1.2 Patients must have measurable disease, defined as at least one lesion that can be accurately measured in at least one dimension (longest diameter to be recorded) as greater than or equal to 20 mm with conventional techniques or as greater than or equal to 10 mm with spiral computed tomography (CT) scan. * 3.1.3 Life expectancy of greater than 3 months. * 3.1.4 Eastern Cooperative Oncology Group (ECOG) performance status less than or equal to 2 (Karnofsky greater than or equal to 60%). * 3.1.5 Subjects must have normal organ and marrow function as defined below: * absolute neutrophil count greater than or equal to 1,500/mcL * platelets greater than or equal to 100,000/mcL * total bilirubin within less than or equal to 1.5 institutional upper limit of normal (ULN) * aspartate aminotransferase (AST) serum glutamic oxaloacetic transaminase(SGOT),alanine aminotransferase (ALT)/serum glutamic pyruvic transaminase(SGPT) less than or equal to 2.5 times ULN * creatinine \< 1.5 times ULN OR * creatinine clearance greater than or equal to 60 mL/min/1.73 m\^2 for patients with creatinine levels greater than or equal to 1.5 times institutional upper limit of normal. * 3.1.6 The effects of R935788 on the developing human fetus are unknown. For this reason, women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control or abstinence) prior to study entry, for the duration of study participation, and for 1 month after discontinuation of the study. Women of child bearing potential must have a negative pregnancy test in order to be eligible. Should a participant or a participant's partner become pregnant or suspect she is pregnant while participating in this study, the participant should inform the Research Team immediately. * 3.1.7 Ability to understand and the willingness to sign a written informed consent document. * 3.1.8 Age greater than or equal to 18 years. Because no dosing or adverse event data are currently available on the use of R935788 in patients \< 18 years of age, children are excluded from this study, but may be eligible for future pediatric Phase I trials. * 3.1.9 Patients with diagnosis of hypertension should have their blood pressure adequately controlled by medical therapy (adequate control of hypertension for the purposes of this trial is defined as systolic blood pressure \< 150 mmHg or diastolic pressure \< 90 mmHg). * 3.1.10 Patients with head and neck cancer who are unable to swallow and who are gastrostomy tube (G-tube) dependent will have the tablets dissolved in water or orange juice followed by a free water or orange juice flush. EXCLUSION CRITERIA: * 3.2.1 Subjects who have had chemotherapy, biotherapy, or radiotherapy within 4 weeks prior to entering the study, or those who have not recovered from adverse events due to prior therapy. * A time period of greater than or equal to 2 weeks must have elapsed since a patient was administered any investigational agent as part of a Phase 0 study (also referred to as an early Phase I study or pre-Phase I study where a sub-therapeutic dose of drug is administered) at the principal investigator's (PI's) discretion, and patients should have recovered from any toxicity from prior therapy to eligibility levels. * 3.2.2 Patients must not have other current malignancies, other than basal cell skin cancer, squamous cell skin cancer, in situ cervical cancer, ductal or lobular carcinoma in situ of the breast. * Patients who have undergone primary therapy for a prior diagnosis of cancer and are disease free for at least 3 years prior to study entry will be included in the trial. * 3.2.3 Patients may not be receiving any other investigational agents. * 3.2.4 Subjects with known brain metastases are excluded with the exception of those whose brain metastatic disease status has remained stable for at least 3 months since treatment of the brain metastases without steroids (except for maintenance replacement doses) or antiseizure medications. * Patients cannot be taking enzyme-inducing anti-seizure medications (e.g., phenytoin, carbamazepine, phenobarbital, primidone, oxcarbamazepine); other seizure medications that are not considered enzyme-inducing would be permissible. * 3.2.5 Because there is an unknown but potential risk for adverse events in nursing infants secondary to exposure to this agent, women who are breast feeding are ineligible for this study. * 3.2.6 Patients receiving medications known to induce/inhibit cytochrome P450 3A4 (CYP3A4) will be excluded from this study. * Patients who must initiate treatment with a CYP3A4 inhibitor while receiving R935788 will be carefully monitored. * Inhibitors of CYP3A4 include but are not limited to: * amiodarone, * clarithromycin, * erythromycin, * imatinib, * troleandomycin, * ritonavir, * indinavir, * fluconazole, * itraconazole, * and ketoconazole. * Patients should also avoid grapefruit and grapefruit juice during participation in the study. * Patients will also be required to keep a study diary to record any side effects that occur during the study and any other medications taken. * 3.2.7 Subjects with clinically significant illnesses which would compromise participation in the study, including, but not limited to: unstable or serious medical conditions (ongoing or active infection, symptomatic congestive heart failure \[AHA Class II or worse\], unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements) are excluded due to the possibility that the underlying condition may obscure the attribution of effect and adverse events with respect to the study medication and may limit study compliance. * 3.2.8 Patients with hepatocellular cancer (HCC) may have underlying chronic infectious hepatitis as long as there is no evidence of hepatic failure and they meet the eligibility criteria. * 3.2.9 Human immunodeficiency virus (HIV)-positive patients on combination antiretroviral therapy are ineligible because of the potential for pharmacokinetic interactions with R935788.