
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 equation $ax^2+bx-c=0$, determine the value of $\frac{1}{r^{3}}+\frac{1}{s^{3}}$.
A) $\frac{b^3 - 3abc}{c^3}$  
B) $\frac{b^3 + abc}{c^3}$  
C) $\frac{b^3 + 3abc}{c^3}$  
D) $\frac{3b^3 + abc}{c^3}$

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