
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 roots of the equation $(x^2 - 5x + 6)(x-1)(x+3) = 0$.
A) 2 only 
B) 1 and 2 only 
C) -3, 1, 2, and 3 
D) 1, 2, 3, and 4 
E) 0, 1, 2, and 3

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