
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 the following:<br/>$(1)(0.25)^{-2}+{8}^{\frac{2}{3}}-(\frac{1}{16})^{-0.75}$;<br/>$(2)\left(\lg 2\right)^{2}+\lg 5\cdot \lg 20+\lg 100$.

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