
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
$(1)(\frac{{x}^{2}}{-2y})•\frac{6x{y}^{2}}{{x}^{4}}$；  
$(2)\frac{{a}^{2}-1}{{a}^{2}-2a+1}•\frac{2a}{{a}^{2}+a}$；  
$(3)\frac{x-3}{x-2}÷(x+2-\frac{5}{x-2})$.

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