
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) $\left(\frac {1}{8}\right)^{- \frac {2}{3}} - 4(-3)^{4} + \left(2 \frac {1}{4}\right)^{\frac {1}{2}} - (1.5)^2$
(2) $(\lg 5)^2+\lg 2 \cdot \lg 50-\log_{\frac {1}{2}} 8 +\log_{3} \frac {427}{3}$.

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