An exploratory study of applicants who rejected admission to the Texas Academy of Mathematics and Science (TAMS) is described in this article. TAMS is a residential early college entry program at the University of North Texas in Denton. Up to 600 mathematically talented sophomores apply to TAMS each year and among the 200 selectees, a predictable 10% to 15% will decline admission and remain in high school. Over 9 years, decliners responded to surveys asking why they rejected offers they had vigorously pursued. Respondents indicated their dissonance sprang mostly from preoccupation with extracurricular pursuits, reluctance to leave family and friends, and reassessments of their preparedness for early college entry and science, technology, engineering, and mathematics (STEM) careers. Several interventions are offered to help prospects make informed decisions before applying. Findings may provide insights to guide enrollment policies at other accelerative programs.