
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 the function $f(x)$, defined for all real numbers $R$, satisfy $f(x+5) = f(x)$. If $-3 < x \leq -1$, then $f(x) = x$, and if $-1 < x \leq 2$, then $f(x) = (x-1)^2$. Determine the value of $f(1) + f(2) + f(3) + \ldots + f(2014)$.

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