
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 $f^{(1)}(x) = [f(x)]'$, $f^{(2)}(x) = [f^{(1)}(x)]'$, ..., $f^{(n)}(x) = [f^{(n-1)}(x)]'$ (where $n \in \mathbb{N}_+, n \geq 2$). If $f(x) = x\cos x$, then the value of $f(0) + f^{(1)}(0) + f^{(2)}(0) + \ldots + f^{(2013)}(0)$ is.

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