
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 values of the following expressions:  
$(1){(2\frac{1}{4})}^{\frac{1}{2}}-(-9.6)^{0}-{(3\frac{3}{8})}^{-\frac{2}{3}}+(1.5)^{-2}$;  
$(2)\log _{25}\frac{1}{2}⋅{log}_{4}5-{log}_{\frac{1}{3}}3-{log}_{2}4+{5}^{{log}_{5}2}$.

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