
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
Simplify first, then evaluate: $\frac{x-1}{{x}^{2}-2x+1}\div (\frac{{x}^{2}+x-1}{x-1}-x-1)-\frac{1}{x-2}$, and then choose a suitable number from $-1$, $0$, $1$, $2$ to substitute for $x$ to evaluate.

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