
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) $(1)(3 \frac {3}{8})\,^{- \frac {2}{3}}+(0.002)\,^{- \frac {1}{2}}-10×( \sqrt {5}-2)^{-1}+( \sqrt {2}- \sqrt {3})^{0}$

(2) $\log _{2.5}6.25+\lg \frac {1}{100}+\ln \sqrt {e}+2\,^{1+\log _{2}3}$

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