
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 and evaluate

First, simplify $ \dfrac{x^{2}-2x+1}{x^{2}-1}÷\left( \dfrac{x-1}{x+1}-x+1 \right)$, then choose an appropriate integer value for $x$ from the range $-3 < x < 3$ and substitute it to evaluate.

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