
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
If $r$, $s$, and $t$ are the roots of the cubic equation $x^3 - ax^2 + bx - c = 0$, find the value of $r^3 + s^3 + t^3$.
A) $a^3 - 2ab + 3c$
B) $a^3 - 3ab + 3c$
C) $a^3 - 3ab + 2c$
D) $a^3 - 2ab + 2c$
E) $a^3 + 3ab + 3c$

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