
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let  $ABC$  be a triangle.  Point  $P$  lies in the interior of  $\triangle ABC$  such that  $\angle ABP = 20^\circ$  and  $\angle ACP = 15^\circ$ .  Compute  $\angle BPC - \angle BAC$ .

Present the answer in LaTex format: \boxed{Your answer}
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