
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
Calculate the product of the 11 factors:
\[
\left(1 - \frac{1}{2}\right)\left(1 - \frac{1}{3}\right)\left(1 - \frac{1}{4}\right)\cdots\left(1 - \frac{1}{12}\right)
\]
A) \(\frac{1}{12}\) \\
B) \(\frac{1}{11}\) \\
C) \(\frac{1}{2}\) \\
D) \(\frac{12}{13}\) \\
E) \(\frac{13}{2}\)

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