
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
What is the value of the product
\[
\left(1+\frac{1}{1^2}\right)\cdot\left(1+\frac{1}{2^2}\right)\cdot\left(1+\frac{1}{3^2}\right)\cdot\left(1+\frac{1}{4^2}\right)\cdot\left(1+\frac{1}{5^2}\right)\cdot\left(1+\frac{1}{6^2}\right)?
\]
A) $\frac{16661}{3240}$
B) $\frac{20000}{3240}$
C) $\frac{14000}{3240}$
D) $\frac{15000}{3240}$

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