
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 $\left(1-\frac{1}{2^{3}}\right)\left(1-\frac{1}{3^{3}}\right)\ldots\left(1-\frac{1}{7^{3}}\right)$.
A) $\frac{7 \times 26 \times 63}{216363} $
B) $\frac{7 \times 26 \times 63 \times 124 \times 215 \times 342}{8 \times 27 \times 64 \times 125 \times 216 \times 343}$
C) $\frac{7 \times 63 \times 215}{216}$
D) $\frac{7 * 124}{25}$

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