
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 $f(x)$ for any $x \in \mathbb{R}$, it satisfies $f(x+6)+f(x)=0$, the graph of $y=f(x-1)$ is symmetric about the point $(1,0)$, and $f(2)=4$, calculate $f(2014)$.

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