
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) $$\frac {2\lg(2)+\lg(3)}{1+ \frac {1}{2}\lg(0.36)+ \frac {1}{3}\lg(8)}$$  
(2) $$3(-4)^{3} - \left(\frac {1}{2}\right)^{0} + 0.25^{\frac {1}{2}} \times \left(\frac {-1}{\sqrt{2}}\right)^{-4}.$$

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