
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
Calculate the following expressions:

(1) $\sqrt[3]{(-4)^{3}} - (\frac{1}{2})^{0} + 0.25^{\frac{1}{2}} \times (\sqrt{2})^{4}$

(2) $\lg{4} + \lg{25} + 4^{-\frac{1}{2}} - (4 - \pi)^{0}$

(3) $\frac{\lg{8} + \lg{125} - \lg{2} - \lg{5}}{\lg{\sqrt{10}}\lg{0.1}}$

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