
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 \( P \) be a polynomial of degree 4 such that \( P(0) = P(1) = 1 \), \( P(2) = 4 \), \( P(3) = 9 \), and \( P(4) = 16 \). Calculate \( P(-2) \).

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