
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 $\left(1-\frac{1}{2^{2}}\right)\left(1-\frac{1}{3^{2}}\right)\ldots\left(1-\frac{1}{12^{2}}\right)$.
**A)** $\frac{11}{20}$  
**B)** $\frac{1}{2}$  
**C)** $\frac{13}{24}$  
**D)** $\frac{15}{28}$  
**E)** $\frac{7}{15}$

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