
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) $\left(2 \frac {1}{4}\right)^{ \frac {1}{2}}$ + $\left(\frac {1}{10}\right)^{-2} - \pi^{0} + \left(- \frac {27}{8}\right)^{ \frac {1}{3}}$;  
(2) $\frac {1}{2} \lg 25 + \lg 2 - \log_{2}9 \times \log_{3}2$.

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