
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) $\left( \frac {9}{4}\right)^{\frac {1}{2}}-(-2.5)^{0}-\left( \frac {8}{27}\right)^{\frac {2}{3}}+\left( \frac {3}{2}\right)^{-2}$;  
(2) ${(\text{lg} 5)}^2+\text{lg} 2 \cdot \text{lg} 50$.

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