TASK DEFINITION: In this task, you are given two phrases: Head and Tail, separated with <sep>. The Head and the Tail events are short phrases possibly involving participants. The names of specific people have been replaced by generic words (e.g., PersonX, PersonY, PersonZ). PersonX is always the subject of the event. You have to determine whether The Tail is the intention of the PersonX from the Head or not. The intention is the likely intent or desire of PersonX behind the execution of an event. For example, given the Head PersonX gives PersonY gifts, an intention might be that PersonX wanted to be thoughtful. Classify your answers into "Yes" and "No". The phrase may also contain "___", a placeholder that can be an object, a person, and/or an action.
PROBLEM: Head: PersonX breaks PersonX's window<sep>Tail: to get back inside

SOLUTION: Yes

PROBLEM: Head: PersonX gets on PersonY's nerves<sep>Tail: to be annoying

SOLUTION: Yes

PROBLEM: Head: PersonX follows ___ exactly<sep>Tail: to correctly arrive at mathematical solutions

SOLUTION:
Yes