
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
For the cubic function $f(x)=ax^{3}+bx^{2}+cx+d$ ($a\neq 0$), the following definition is given: Let $f'(x)$ be the derivative of $y=f(x)$, and $f''(x)$ be the derivative of $f'(x)$. If the equation $f''(x)=0$ has a real solution $x_{0}$, then the point $(x_{0},f(x_{0}))$ is called the "inflection point" of the function $y=f(x)$. A student discovered through exploration that any cubic function has an "inflection point". Every cubic function has a center of symmetry, and the "inflection point" is the center of symmetry. Let the function $g(x)=\frac{1}{3}x^{3}-\frac{1}{2}x^{2}+3x-\frac{5}{12}$, then $g(\frac{1}{2018})+g(\frac{2}{2018})+...+g(\frac{2017}{2018})=$_______.

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