Testing GDC-0449 (Vismodegib) as Potentially Targeted Treatment in Cancers With Smoothened or Patched 1 Mutant Tumors (MATCH - Subprotocol T)

Inclusion Criteria: * Patients must have met applicable eligibility criteria in the Master MATCH Protocol EAY131/ NCI-2015-00054 prior to registration to treatment subprotocol * Patients must fulfill all eligibility criteria outlined in section 3.1 of MATCH Master protocol (excluding section 3.1.6) at the time of registration to treatment step (step 1, 3, 5, 7) * Patients must have activating mutations of smoothened (SMO) or deleterious Patched 1 (PTCH1) as determined via the MATCH Master protocol and described in appendix II. See appendix II for information on the smoothened (SMO) or patched 1 (PTCH1) mutations and corresponding levels of evidence * Patient must not have basal cell carcinoma * Patients must have an electrocardiogram (ECG) within 8 weeks prior to treatment assignment and must have NONE of the following cardiac criteria: * No clinically unstable abnormalities in rhythm, conduction or morphology of resting ECG e.g. complete left bundle branch block, third degree heart block * No factors that increase the risk of corrected QT (QTc) prolongation or risk of arrhythmic events such as congenital long QT syndrome, family history of long QT syndrome or unexplained sudden death under 40 years of age * Patients with known left ventricular dysfunction must have ECHO or nuclear study (multigated acquisition \[MUGA\] scan or first pass) within 4 weeks prior to registration to treatment and must not have left ventricular ejection fraction (LVEF) \< institutional lower…