
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 function $f(x)$ with the domain $R$. When $x < 0$, $f(x)=x^{3}-1$; for $-1\leqslant x\leqslant 1$, $f(-x)=-f(x)$; and for $x > \frac{1}{2}$, $f\left(x+ \frac{1}{2}\right)=f\left(x- \frac{1}{2}\right)$. Find $f(6)$.

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