
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 $r$ and $s$ are the roots of the quadratic equation $x^2 - px - q = 0$, find the value of $r^3 + s^3$.
**A)** $p^3 - 3pq$  
**B)** $p^3 + 3pq$  
**C)** $p^3 - pq$   
**D)** $3p^2 - q^2$

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