
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 \[\dfrac{(3^3-1)(3-2)}{3^3+1}\cdot\dfrac{(5^3-1)(5-2)}{5^3+1}\cdot\dfrac{(7^3-1)(7-2)}{7^3+1}\cdot\dfrac{(9^3-1)(9-2)}{9^3+1}\cdot\dfrac{(11^3-1)(11-2)}{11^3+1}.\]

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