
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
Let \(y^3 + \frac{1}{y^3} = C,\) and \(y - \frac{1}{y} = D,\) where \(C\) and \(D\) are positive numbers. Determine the minimum possible value for \(\frac{C}{D}.\)

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