
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
Observe the following expressions and their expansions.<br/>$(a+b)^{2}=a^{2}+2ab+b^{2}$;<br/>$(a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}$;<br/>$(a+b)^{4}=a^{4}+4a^{3}b+6a^{2}b^{2}+4ab^{3}+b^{4}$;<br/>$(a+b)^{5}=a^{5}+5a^{4}b+10a^{3}b^{2}+10a^{2}b^{3}+5ab^{4}+b^{5}$;<br/>$\ldots \ldots $<br/>Please guess the coefficient of the $x^{2}$ term in the expansion of $\left(x-1\right)^{8}$.

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