A Study of Abemaciclib (LY2835219) in Native Chinese Participants With Advanced and/or Metastatic Cancers

Inclusion Criteria:

* The participant must have histological or cytological evidence of cancer which is advanced and/or metastatic, and is an appropriate candidate for experimental therapy in the judgment of the investigator, after available standard therapies have ceased to provide clinical benefit.
* Have the presence of measureable disease as defined by the Response Evaluation Criteria in Solid Tumors (RECIST 1.1).
* Are native Chinese men or women.
* Have adequate organ function, including:

  * Hematologic: Absolute neutrophil count (ANC) ≥1.5 x 109/Liters (L), platelets ≥100 x 109/L, and hemoglobin ≥9 grams per deciliter. Participants may receive erythrocyte transfusions to achieve this hemoglobin level or platelet transfusions to achieve platelet levels at the discretion of the investigator; however, initial study drug treatment must not begin earlier than the day after transfusion.
  * Hepatic: Bilirubin ≤1.5 times upper limits of normal (ULN), alanine aminotransferase (ALT), and aspartate aminotransferase (AST) ≤3.0 times ULN.
  * Renal: Serum creatinine ≤1.2 milligrams per deciliter (mg/dL) for males or ≤1.0 mg/dL for females.
* Have a performance status ≤1 on the Eastern Cooperative Oncology Group (ECOG) scale.
* Recovered from the acute effects of therapy (treatment- related toxicity resolved to baseline) except for residual alopecia.
* Have an estimated life expectancy of ≥12 weeks.

Exclusion Criteria:

* Have received previous therapies for cancer (including chemotherapy, radiotherapy, immunotherapy, and investigational therapy) within 21 days for myelosuppressive agents or 14 days for nonmyelosuppressive agents prior to receiving study drug.
* Have an acute leukemia or other relevant cancers at the discretion of the investigator.
* Females who are pregnant or lactating.
* Participants consuming drugs or foods that are known to be inducers (for example, grapefruit juice, phenytoin, carbamazepine) or strong inhibitors of CYP3A4 should be excluded during Cycle 1.
* Have history or evidence of central nervous system (CNS) malignancy or metastasis. Screening of asymptomatic participants without history of CNS metastases is not required for enrollment.