
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 factors $\Big(1 - \frac{1}{2}\Big)\Big(1 - \frac{1}{3}\Big)\cdots\Big(1 - \frac{1}{12}\Big)$.
A) $\frac{1}{13}$
B) $\frac{1}{12}$
C) $\frac{1}{2}$
D) $\frac{12}{13}$
E) $\frac{13}{2}$

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