
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
Given a cubic function $f(x)=ax^{3}+bx^{2}+cx+d (a\neq 0)$, the definition of an inflection point is provided: If the equation $f''(x)=0$ has a real number solution $x_{0}$, then the point $(x_{0},f(x_{0}))$ is called an "inflection point" of the function $y=f(x)$. Let $g(x)=2x^{3}-3x^{2}+\frac {1}{2}$. Determine the value of $g( \frac {1}{100})+g( \frac {2}{100})+...+g( \frac {99}{100})$.

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