
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 \[g(x) = \left\{
\begin{array}{cl} x^2 - 6 & \text{ if } x < 8, \\
x - 15 & \text{ if } x \geq 8.
\end{array}
\right.\] Calculate $g(g(g(20)))$.

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