Inclusion Criteria:

* Low- or intermediate-grade neuroendocrine carcinoma, including the following subtypes: carcinoid tumor, low- to intermediate-grade or well- to moderately-differentiated neuroendocrine carcinoma or tumor, atypical carcinoid tumor; documentation from a primary tumor or metastatic site is sufficient; patients with poorly differentiated neuroendocrine carcinoma, high-grade neuroendocrine carcinoma, adenocarcinoid tumor, or goblet cell carcinoid tumor are not eligible
* Locally unresectable or metastatic carcinoid tumors
* Patients must have histologic documentation or clinical evidence of a carcinoid tumor of primary site (including foregut, midgut, hindgut or other non-pancreatic site); tumors of unknown primary site are eligible provided the treating physician does not suspect medullary thyroid cancer, pancreatic neuroendocrine tumor, paraganglioma, or pheochromocytoma; unknown primary tumors will be classified as small bowel tumors for the purpose of stratification; functional (associated with a clinical syndrome) or nonfunctional tumors are allowed; target lesions must have shown disease progression if therapy included peptide receptor radiotherapy (PRRT) and PRRT must be completed at least 8 weeks prior to registration
* Radiological evidence for progressive disease (measurable or non-measurable) within 12 months prior to registration; patients who have received anti-tumor therapy during the past 12 months (including octreotide analogs) must have had radiological documentation of progression of disease while on or after receiving therapy
* No known endobronchial lesions and/or lesions infiltrating major pulmonary vessels that increase the risk of pulmonary hemorrhage; patients with lesions infiltrating major pulmonary vessels (contiguous tumor and vessels) are excluded; however, the presence of a tumor that is touching, but not infiltrating (abutting) the vessels is acceptable (computed tomography \[CT\] with contrast is strongly recommended to evaluate such lesions); patients with large protruding endobronchial lesions in the main or lobar bronchi are excluded; however, endobronchial lesions in the segmented bronchi are allowed
* Patients must have measurable disease per RECIST 1.1 by computed tomography (CT) scan or magnetic resonance imaging (MRI); lesions must be accurately measured in at least one dimension (longest diameter to be recorded) as \>= 1 cm with CT or MRI (or \>= 1.5 cm for lymph nodes); index lesions for the purpose of RECIST 1.1 measurements will not be selected from within the radiation therapy treatment field; however, if there is evidence of disease progression within the radiation treatment field, measurement of the progressing lesions will be documented
* No prior treatment with an inhibitor of vascular endothelial growth factor (VEGF) or vascular endothelial growth factor receptor (VEGFR)
* Prior treatment (somatostatin analogs excepted) must be completed at least 2 weeks prior to registration; in addition, prior treatment (somatostatin analogs excepted) must be completed at least 4 weeks prior to initiation of study drug; treatment-related toxicities must have improved to =\< grade 1 prior to registration, with the exception of alopecia
* Concurrent use of somatostatin analogs (SSTa) is allowed, provided that the patient is on a stable dose for at least two months and progressive disease on somatostatin analog has been documented; progression on octreotide is required for patients with tumors arising in the midgut
* Prior treatment with embolization (including bland embolization, chemoembolization, and selective internal radiation therapy) or ablative therapies is allowed if measurable disease remains outside of the treated area or there is documented disease progression in a treated site; there is no limit on the prior number of procedures; prior liver-directed or other ablative treatment must be completed at least 8 weeks prior to registration; index lesions for the purpose of RECIST 1.1 measurements will not be selected from within the radiation therapy treatment field; however, if there is evidence of disease progression within the radiation treatment field, measurement of the progressing lesions will be documented
* Patients should have completed any major surgery \>= 4 weeks prior to registration and must have completed any minor surgery \>= 2 weeks prior to registration; patients must have fully recovered from the procedure

* The following are examples of procedures considered to be minor: port placement, laparoscopy, thoracoscopy, bronchoscopy, mediastinoscopy, skin biopsies, incisional biopsies, imaging-guided biopsy for diagnostic purposes, and dental extraction procedures
* Insertion of a vascular access device, thoracentesis, paracentesis, and endoscopic ultrasonographic procedures are not considered to be major or minor surgeries
* No concurrent condition resulting in immune compromise, including chronic treatment with corticosteroids or other immunosuppressive agents
* No clinical evidence of central nervous system (CNS) metastases (including carcinomatous meningitis) at baseline, with the exception of those patients who have previously-treated CNS metastases (surgery +/- radiotherapy, radiosurgery, or gamma knife) and who meet both of the following criteria: a) are asymptomatic and b) had no requirement for steroids or enzyme-inducing anticonvulsants within 6 months prior to registration
* No history of abdominal fistula, gastrointestinal perforation, or intra-abdominal abscess within 28 days prior to registration
* No clinically significant gastrointestinal abnormalities that may increase the risk for gastrointestinal bleeding within 28 days prior to registration including, but not limited to:

* Active peptic ulcer
* Known endoluminal metastatic lesion(s) with history of bleeding
* Inflammatory bowel disease (e.g. ulcerative colitis, Crohn's disease), or other gastrointestinal conditions with increased risk of perforation
* No history of serious (i.e., requiring active medical therapy with medication or medical device under the supervision of a physician) non-healing wound, ulcer, trauma, or bone fracture within 28 days prior to study entry
* Patients with a history of hypertension must have blood pressure that is adequately controlled on antihypertensives; (\< 140/90 mm Hg)
* No symptomatic congestive heart failure (New York Heart Association class II, III, or IV) within 6 months prior to registration
* No arterial thrombotic events within 6 months of registration, including transient ischemic attack (TIA), cerebrovascular accident (CVA), peripheral arterial thrombus, myocardial infarction (MI), or unstable angina or angina requiring surgical or medical intervention in 6 months prior to registration; patients with clinically significant peripheral artery disease (i.e., claudication on less than one block) are ineligible; patients who have experienced a deep venous thrombosis or pulmonary embolus within 6 months prior to registration must be on stable therapeutic anticoagulation for at least 6 weeks prior to enrollment of this study
* Patients on therapeutic anticoagulation with low molecular weight heparins, fondaparinux, rivaroxaban or warfarin are eligible, provided that they are on a stable dose of anticoagulants; patients who are currently receiving antiplatelet therapy of prasugrel or clopidogrel or antiaggregation agents (e.g., eptifibatide, epoprostenol, dipyridamole) or low doses of acetylsalicylic acid (up to 100 mg daily) are also eligible
* No ongoing cardiac dysrhythmias, atrial fibrillation, or prolongation of corrected QT (QTc) interval to \> 480 msec
* No evidence of active bleeding, bleeding diathesis, or hemoptysis (\>= 1/2 teaspoon of red blood) within 8 weeks prior to registration
* No currently unstable angina and/or uncontrolled cardiac arrhythmias
* Patients with symptomatic peripheral vascular disease are ineligible
* Ejection fraction on echocardiogram (Echo) or multi gated acquisition scan (MUGA) \> 50%
* Chronic concomitant treatment with strong inhibitors of cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) is not allowed on this trial; patients on strong CYP3A4 inhibitors must discontinue the drug 14 days prior to the start of study treatment
* Women must not be pregnant or nursing; women of child bearing potential must have a negative serum or urine pregnancy test (minimum sensitivity 25 IU/L or equivalent units of human chorionic gonadotropin \[HCG\]) within 72 hours prior to registration; women of child-bearing potential include any female who has experienced menarche and who has not undergone surgical sterilization (hysterectomy, bilateral tubal ligation or bilateral oophorectomy) or is not postmenopausal (defined as amenorrhea \>= 12 consecutive months; or women on hormone replacement therapy \[HRT\] with documented serum follicle stimulating hormone \[FSH\] level \> 35 mIU/mL)
* Age \>= 18 years of age
* Eastern Cooperative Oncology Group (ECOG) performance status 0-1
* Granulocytes \>= 1,500/mcL
* Platelets \>= 100,000/mcL
* International normalized ratio (INR) =\< 1.2 X upper limit of normal (ULN); only required for patients receiving anticoagulant therapy; patients are eligible if their INR is stable and within the recommended range for the desired level of anticoagulation
* QTc =\< 480 msecs
* Thyroid stimulating hormone (TSH) within normal limits (WNL); medications for thyroid dysfunction are allowed as long as TSH is normal at registration; in patients with abnormal TSH, if the free thyroxine (free T4) and free thyroxine index (FTI) are normal and patient is clinically euthyroid, patient is eligible
* Bilirubin =\< 1.5 x ULN
* Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\]) \& alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 2.5 x ULN; concomitant elevations in bilirubin and AST/ALT above 1.0 X ULN are NOT permitted; also, if liver metastases are present, AST \& ALT =\< 5 x ULN is allowed
* Serum creatinine =\< 1.5 x ULN
* Urine protein to creatinine ratio \< 1, or, 24-hour urine protein \< 1 g; if urine protein to creatinine (UPC) \>= 1, then a 24-hour urine protein must be assessed; patients must have a 24-hour urine protein value \< 1 g to be eligible; use of urine dipstick for renal function assessment is not acceptable