
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
Evaluate:

1. $(1)( \dfrac{3}{2})^{-2}-( \dfrac{49}{9})^{0.5}+(0.008)^{- \frac{2}{3}}\times \dfrac{2}{25}$;

2. $2(\lg \sqrt{2})^{2}+\lg \sqrt{2}\cdot\lg \sqrt{5}+ \sqrt{(\lg \sqrt{2})^{2}-2\lg \sqrt{2}+1}$.

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