
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
$(1){({0.064})^{-\frac{1}{3}}}-{({-\frac{7}{8}})^0}+{[{{{({-2})}^3}}]^{-\frac{4}{3}}}+{16^{-0.25}}$；<br/>$(2)|{{{({\frac{4}{9}})}^{-\frac{1}{2}}}-lg5}|+\sqrt{l{g^2}2-lg4+1}-{3^{1-lo{g_3}2}}$.

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