
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 $10^{3}=1000$, $11^{3}=1331$, $12^{3}=1728$, $13^{3}=2197$, $14^{3}=2744$, $15^{3}=3375$, $\ldots $, $20^{3}=8000$, $21^{3}=9261$, $22^{3}=10648$, $23^{3}=12167$, $24^{3}=13824$, $25^{3}=15625$, $\ldots $, find the value of $______^{3}=110592$.

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