
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 the value of the following expressions:  
(1) $$\frac {1}{ \sqrt {2}-1}$$ - ($$\frac {3}{5}$$)<sup>0</sup> + ($$\frac {9}{4}$$)<sup>-0.5</sup> + $$4( \sqrt {2}-e)^{4}$$;  
(2) lg500 + lg $$\frac {8}{5}$$ - $$\frac {1}{2}$$lg64 + 50(lg2 + lg5)<sup>2</sup>.

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