
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
Evaluate the fraction $\frac{a^{6}-b^{6} + c^{6}}{a^{3}-b^{3} + c^{3}}$.
**A)** $a^{3} - b^{3} + c^3$  
**B)** $a^{3} + b^{3}$  
**C)** $a^{3} + b^{3} + c^3$  
**D)** $a^{6} - b^{6} + c^6$  
**E)** $(a+b+c)^3$

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