
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
Find constants $P,$ $Q,$ and $R$ so that
\[\frac{x^2 - 9}{(x - 1)(x - 4)(x - 6)} = \frac{P}{x - 1} + \frac{Q}{x - 4} + \frac{R}{x - 6}.\]

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