
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 the function $f(x) = 
\begin{cases} 
\cos \frac{\pi}{4}x & ,x \leq 2000 \\
x - 14 & ,x > 2000 
\end{cases}$, calculate $f[f(2014)]$.

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