
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 \[f(x) = \left\{
\begin{array}{cl}
\sqrt{x + 1} &\text{ if }x>5, \\
x^2 + 1 &\text{ if }x \le 5.
\end{array}
\right.\] Find $f(f(f(3)))$.

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