
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
Given that $r$, $s$, and $t$ are the roots of the cubic equation $x^3 - px^2 + qx - r = 0$, find $r^2 + s^2 + t^2$.
A) $p^2 + 2q$
B) $p^2 - 2q$
C) $p^2 + q^2$
D) $p^2 - r^2$
E) $p^2$

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