
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 a function $f(x)$ that satisfies $f(x+2) = \frac{1}{f(x)}$ for any real number $x$, and $f(1) = -5$, find the value of $f(f(5))$.
Options:
A) $-5$
B) $-\frac{1}{5}$
C) $\frac{1}{5}$
D) $5$

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