The purpose of this study is to see if JNJ-61610588 is safe and useful for treating participants with advanced cancer. This study consists of up to 4 parts. Part 1 will determine what dose of JNJ-61610588 can be given safely to advanced cancer participants. Part 2 will look at how participants with metastatic non-small cell lung cancer respond to a safe dose of JNJ-61610588. Parts 3 and 4 will test whether the dose of JNJ-61610588 identified in Part 1 is a safe and effective therapy for participants with specific types of advanced cancers (lung, pancreas, cervical, colorectal, head and neck). Participants will receive study drug in an outpatient setting. Participants safety will be monitored throughout the study.