Testing AZD4547 as a Potential Targeted Treatment in Cancers With FGFR Genetic Changes (MATCH-Subprotocol W)

Inclusion Criteria:

* Patients must have met applicable eligibility criteria in the Master MATCH Protocol prior to registration to treatment subprotocol
* Patients must have FGFR 1-3 mutation or translocation as determined by the MATCH screening assessment
* Patients must have an electrocardiogram (ECG) within 8 weeks prior to treatment assignment and must have no clinically important abnormalities in rhythm, conduction or morphology of resting ECG (e.g. complete left bundle branch block, third degree heart block)
* Patients must have an echocardiogram (ECHO) or a nuclear study (multigated acquisition scan \[MUGA\] or First Pass) within 4 weeks prior to registration to treatment and must not have a left ventricular ejection fraction (LVEF) \< institutional lower limit of normal (LLN). If the LLN is not defined at a site, the LVEF must be \> 50% for the patient to be eligible
* Patients must have a pre-study eye exam by an ophthalmologist. Patients with current evidence of corneal or retinal disorder/keratopathy are excluded

Exclusion Criteria:

* Patients must not have known hypersensitivity to AZD4547 or compounds of similar chemical or biologic composition
* Patients must not have received prior FGFR specific inhibitors (e.g. BGJ398, erdafitinib, BAY1163877, LY2874455). Prior non-selective FGFR inhibitor treatment (e.g. pazopanib, dovitinib, ponatinib, brivanib, lucitanib, lenvatinib) will be allowed
* Patients must not have any history of or current evidence of renal or endocrine alterations of calcium/phosphate homeostasis, or history of or current evidence of extensive tissue calcification (by evaluation of the clinician), including but not limited to, the soft tissue, kidneys, intestine, myocardium and lung with the exception of calcified lymph nodes and asymptomatic vascular calcification per investigators' judgment
* Patients must not be currently using medications that can elevate serum phosphorous and/or calcium levels

  * Medications that increase serum calcium should be avoided. Over the counter calcium supplements, antacids that contain calcium (Tums) and vitamin D supplements (cholecalciferol and ergocalciferol) should be avoided. Prescription medications including lithium, hydrochlorothiazide and chlorthalidone must be used with caution
  * Medications that increase serum phosphate should be avoided. Over the counter laxatives that contain phosphate such as Fleets Oral or Fleets enema and Miralax should be avoided