A Study in Advanced Cancer

Inclusion Criteria: * Have histological or cytological evidence of a diagnosis of cancer that is advanced and/or metastatic. The patient must be, in the judgment of the investigator, an appropriate candidate for experimental therapy. * Have the presence of measurable or nonmeasurable disease * Have adequate organ function, including: * Hematologic: Absolute neutrophil count (ANC) greater than or equal to 1.5 x 109/L, platelets greater than or equal to 100 x 109/L, and hemoglobin greater than or equal to 9 g/dL. Patients may receive erythrocyte transfusions to achieve this hemoglobin level at the discretion of the investigator. Initial treatment must not begin until 5 days after the erythrocyte transfusion. * Hepatic: Bilirubin less than or equal to 1.5 times upper limits of normal (ULN), ALT, and aspartate transferase (AST) less than or equal to 2.0 times ULN. If the liver has tumor involvement AST and ALT equaling less than or equal to 5 times ULN are acceptable. * Renal: Serum creatinine less than or equal to 1.5 times ULN. * Have a performance status of less than or equal to 1 on the Eastern Cooperative Oncology Group (ECOG) scale * Have discontinued previous treatments for cancer and recovered from the acute effects of therapy (for example, at least 42 days for mitomycin-C or nitrosoureas, 28 days for other chemotherapy and biologics. At the discretion of the investigator, hormone refractory prostate cancer patients who are stable on gonadotropin-releasing hormone (GnRH) agonist therapy and breast cancer patients who are stable on antiestrogen therapy (for example, an aromatase inhibitor) may continue treatment Exclusion Criteria: * Have received treatment within 21 days of the initial dose of study drug with an experimental agent for noncancer indications that has not received regulatory approval for any indication. * Have serious preexisting medical conditions * Have symptomatic central nervous system (CNS) malignancy (with the exception of medulloblastoma) or metastasis (screening not required). Patients with treated CNS metastases are eligible for this study if they are not currently receiving corticosteroids and/or anticonvulsants, and their disease is asymptomatic and radiographically stable for at least 60 days. * Have known current hematologic malignancies or acute or chronic leukemia * Have a known active fungal, bacterial, and/or known viral infection including human immunodeficiency (HIV) or viral (A, B, or C) hepatitis (screening is not required) * Have a second primary malignancy that in the judgment of the investigator and sponsor may affect the interpretation of results * Have QTc interval of \>500 msec on screening electrocardiogram * Patients who have previously received treatment with LY2940680