
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 the domain of $f(x)$ is $\mathbb{R}$, and for any $x \in \mathbb{R}$, it holds that $f(-x) = -f(x)$, and $f(x+2) = f(x)$, calculate the value of $f(2010)$.

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