Testing the Sequential Combination of the Anti-cancer Drugs Olaparib Followed by Adavosertib (AZD1775) in Patients With Advanced Solid Tumors With Selected Mutations and PARP Resistance, STAR Study

Inclusion Criteria: * Subjects must have histologically confirmed malignancy that is metastatic or unresectable and for which standard curative measures do not exist or are no longer effective * Patients in dose expansion Cohort A (intrinsic resistance), must have: * Prior treatment with PARP inhibitors * Disease progression per Response Evaluation Criteria in Solid Tumors (RECIST) at 1st re-staging, and * Germline or somatic mutations in BRCA1 or BRCA2 * Patients in dose expansion Cohort B (acquired resistance) must have: * Prior treatment with PARP inhibitors, * Complete/partial response followed by disease progression per RECIST, and * Germline or somatic mutations in any of the following deoxyribonucleic acid (DNA) damage response (DDR) genes: BRCA1, BRCA2, BRIP1, FANCA, PALB2, or the non-DDR gene marker cyclin E amplification. Local testing in Clinical Laboratory Improvement Act (CLIA)-certified laboratory will be accepted. All alterations will be reviewed by MD Anderson's Precision Oncology Decision Support (PODS) team. No variants of uncertain significance (VUS) will be allowed as the qualifying genetic mutation. Recruitment of patients with relevant molecular aberrations in the dose escalation phase is encouraged but not mandated. * Subjects must have RECIST measurable disease and a tumor that is safely accessible for biopsy and must be willing to undergo biopsy * Subjects must have received at least one line of systemic therapy in the advanced/metastat…