
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
A section of the graph of \( g(x) = px^3 + qx^2 + rx + s \) is shown, and it passes through the points (1,1) and (3,1) with a local maximum at (2, 2). Determine the value of \( 3p - 2q + r - 4s \).

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