TRI-611

The goal of this clinical trial is to learn about the safety and recommended dose of TRI-611 when administered to adults with ALK-positive non-small cell lung cancer (NSCLC). The trial will also evaluate the antitumor activity of TRI-611 in adults with ALK-positive NSCLC. The study will be conducted in two parts. The first part will examine different doses of TRI-611. The second part will look at how well TRI-611 works on ALK-positive NSCLC when administered to three groups of participants that differ based on what type of prior therapy they have received. In this study participants will: * Take TRI-611 on a continued basis, provided it is well-tolerated, for as long as their disease is not progressing * Visit the clinic approximately seven times in the first 3 months and then just once at the start of each 28-day cycle thereafter * Keep a diary of each time they take the study medication