
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:  
① $$\sqrt { \frac {25}{9}}$$ - $$\left(\frac {8}{27}\right)^{ \frac {1}{3}}$$ - ($\pi+e$)<sup>0</sup> + $\left(\frac {1}{4}\right)^{- \frac {1}{2}}$;  
② $(\text{lg}2)^2+\text{lg}2\cdot\text{lg}5+ \sqrt {(\text{lg}2)^{2}-\text{lg}4+1}$.

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