
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
If the graph of the function $f(x)=ax^{3}+bx^{2}+cx+d\ (a\neq 0)$ has a center of symmetry at $M(x_{0},f(x_{0}))$, and the derivative of the function $f(x)$ is denoted as $g(x)$, then we have $g'(x_{0})=0$. If the function $f(x)=x^{3}-3x^{2}$, then the value of $f\left( \frac {1}{2017}\right)+f\left( \frac {2}{2017}\right)+\ldots+f\left( \frac {4032}{2017}\right)+f\left( \frac {4033}{2017}\right)=$ \_\_\_\_\_\_.

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