
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
Given an arithmetic sequence $\{a_n\}$ where no term is zero, and satisfies $a_4 - 2a_7^2 + 3a_8 = 0$, and $\{b_n\}$ is a geometric sequence with $b_7 = a_7$, find the value of $b_3 \cdot b_7 \cdot b_{11}$.

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