
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
Let $f(x)$ be an odd function defined on $\mathbb{R}$ such that $f(x + 2) = -f(x)$ for all real numbers $x$, and $f(x) = 2x - x^2$ when $x \in [0,2]$. Compute $f(0) + f(1) + f(2) + \ldots + f(2015)$.

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