
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
The acute angle between the 2 hands of a clock at 3:30 a.m. is \( p^{\circ} \). Find \( p \).

In \(\triangle ABC, \angle B = \angle C = p^{\circ} \). If \( q = \sin A \), find \( q \).

The 3 points \((1,3), (a, 5), (4,9)\) are collinear. Find \( a \).

The average of \( 7, 9, x, y, 17 \) is 10. If \( m \) is the average of \( x+3, x+5, y+2, 8, y+18 \), find \( m \).

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