
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
Determine the simplified expression for $\frac{3x^2 - 2x - 4}{(x+2)(x-3)} - \frac{5+x}{(x+2)(x-3)}$ for $x \neq -2$ and $x \neq 3$.
**A** $\frac{3(x^2-x-3)}{(x+2)(x-3)}$ for all $x \neq -2, 3$  
**B** $3$  
**C** $0$  
**D** Undefined for all $x$  
**E** $-3$

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