
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) $$\frac {1}{ \sqrt {0.04}}$$ + ($$\frac {1}{ \sqrt {27}}$$)$^{ \frac {1}{3}}$ + ($$\sqrt {2}$$+1)$^{-1}$ - 2$^{ \frac {1}{2}}$ + (-2)$^{0}$;  
(2) $$\frac {2}{5}$$lg32 + lg50 + $$\sqrt {(lg3)^{2}-lg9+1}$$ - lg $$\frac {2}{3}$$.

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