
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 each term is not equal to $0$ and satisfies $a_{6}-a_{7}^{2}+a_{8}=0$. Sequence $\{b_{n}\}$ is a geometric sequence with $b_{7}=a_{7}$. Find the value of $b_{3}b_{8}b_{10}$.

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