The purpose of this study is to assess the safety and tolerability of MK-0457(VX-680), an Aurora kinase inhibitor, in participants with advanced solid tumors. Bioavailability of the oral formulation will also be assessed. The primary study hypothesis is that administration of MK-0457 is sufficiently safe and tolerated to permit further study.

Inclusion Criteria:

• Patients who are at least 18 years of age with recurrent or non-responsive solid tumors, or cancers for which standard therapy does not exist.

Exclusion Criteria:

• Patients who have had treatment with any investigational therapy within the past 30 days.
• Patients who have certain types of blood cancers such as leukemia or lymphoma.
• Patients who have uncontrolled congestive heart failure (CHF), chest pains, or had a heart attack within the past 3 months, or have undergone bone marrow or stem cell transplantation.
• Patient is pregnant or nursing.