
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
Simplify and find the value of:<br/>$(1)6{4}^{\frac{2}{3}}+{(-\frac{1}{4})}^{0}-2{7}^{0.25}×\sqrt[4]{3}-{(\frac{1}{2})}^{-2}$;<br/>$(2)lg\sqrt{5}-{2}^{\frac{1}{2}lo{g}_{2}3}-\frac{1}{2}\sqrt{{(lg2)}^{2}-lg2+lg5}$.

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