
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
Find \(\frac{65533^3 + 65534^3 + 65535^3 + 65536^3 + 65537^3 + 65538^3 + 65539^3}{32765 \cdot 32766 + 32767 \cdot 32768 + 32768 \cdot 32769 + 32770 \cdot 32771}\).

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