
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
If \\((x^{2}-3x+1)^{8} \cdot (2x-1)^{4} = a_{0} + a_{1}x + a_{2}x^{2} + \ldots + a_{20}x^{20}\\), then \\(a_{2}=\\) \_\_\_\_\_\_.

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