
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 the function $f(x)=\sin ( \frac {5π}{3}x+ \frac {π}{6})+ \frac {3x}{2x-1}$, find the value of $f( \frac {1}{2016})+f( \frac {3}{2016})+f( \frac {5}{2016})+f( \frac {7}{2016})+...f( \frac {2015}{2016})$ .

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