
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
Solve the following equation and system of equations:  
$(1) 64(x-1)^{3}+27=0$;  
$(2) \begin{cases} x+y=3 \\ 2x-3y=6 \end{cases}$.

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