
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: $(1-\frac{1}{x-1})÷\frac{{x}^{2}-4}{{x}^{2}-x}$, and substitute an appropriate value for $x$ from the five numbers $-2$, $-1$, $0$, $1$, $2$ to evaluate.

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