
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
Part of the graph of \( g(x) = px^4 + qx^3 + rx^2 + sx + t \) is shown. The function has roots at \( x = -2, x = 0, x = 1 \), and \( x = 3 \). Additionally, \( g(2) = -24 \). What is \( q \)?

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