
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 formed by the hands of a clock at 3:30 p.m. is \( A^\circ \). Find \( A \).

If \( \tan (3A + 15)^\circ = \sqrt{B} \), find \( B \).

If \( \log_{10} AB = C \log_{10} 15 \), find \( C \).

The points \( (1, 3) \), \( (4, 9) \), and \( (2, D) \) are collinear. Find \( D \).

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