
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 that $f(x)$ is an odd function defined on $(−∞,0)∪(0,+∞)$, and $f(x+ \frac{5}{2})f(x)=1$, if $f(-1) > 1$ and $f(2016)= \frac{a+3}{a-3}$, then the range of $a$ is _______.

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