
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
Evaluate the expression $\frac{3x^2+x}{(x-1)(x+3)} + \frac{5-x}{(x-1)(x+3)}$ for values of \( x \) where it is defined.
A) $\frac{3x^2+4}{(x+1)(x-3)}$
B) $\frac{3x^2+5}{(x-1)(x+3)}$
C) $\frac{3x^2+4}{(x-1)(x+3)}$
D) $\frac{x^2+5}{(x-1)(x+3)}$

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