
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
Given \( f^{(1)}(x) = f(x) \),
\( f^{(n)}(x) = \left( f^{(n-1)}(x) \right)' \) for \( n \geq 2 \).

If \( f(x) = \frac{x^2}{1 - x^2} \), find \( f^{(n)}(0) = \square \).

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