
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
Calculate:<br/>$(1)\frac{3x+2}{x-1}-\frac{5}{x-1}$;<br/>$(2)\frac{{a}^{2}}{{a}^{2}-6a+9}÷\frac{a}{a-3}$;<br/>$(3)\frac{x-4}{x+3}÷(x-3-\frac{7}{x+3})$.

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