
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
The expression \(\frac{x^2 - 4x + 3}{x^2 - 6x + 9} \div \frac{x^2 - 6x + 8}{x^2 - 8x + 15},\) when simplified, is:
A) \(\frac{(x-1)(x-5)}{(x-2)(x-4)}\)
B) \(\frac{(x-3)(x+1)}{(x-4)(x-5)}\)
C) \(\frac{x-1}{x-3}\)
D) \((x-1)(x-5)\)

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