
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
Compute
\[
\frac{(12^4+500)(24^4+500)(36^4+500)(48^4+500)(60^4+500)}{(6^4+500)(18^4+500)(30^4+500)(42^4+500)(54^4+500)}.
\]

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