
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
If \( h(x) \) is a monic quartic polynomial such that \( h(-2) = -4 \), \( h(1) = -1 \), \( h(-4) = -16 \), and \( h(3) = -9 \), find \( h(2) \).

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