
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
(1) Calculate $0.064^{-\frac{1}{3}} - (-\frac{1}{8})^0 + 16^{\frac{3}{4}} + 0.25^{\frac{1}{2}} + 2\log_{3}6 - \log_{3}12$;
(2) Given $-1 \leq x \leq 0$, find the maximum and minimum values of the function $y = 2^{x+2} - 3 \cdot 4^x$.

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