
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: $(\frac{a^2-3}{a-3}-a)÷\frac{a-1}{a^2-6a+9}$, then choose a suitable integer from the integer solutions of the inequality system $\left\{\begin{array}{l}{7-2x>-1}\\{x-1≥0}\end{array}\right.$ as the value of $a$, substitute and calculate.

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