
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
Define the function \( f(x) \) as follows:
\[
f(x) = \left\{
\begin{array}{cl}
x - 1 & \text{if } x > 9, \\
x^3 & \text{if } x \leq 9.
\end{array}
\right.
\]
Find \( f(f(f(3))) \).

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