
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)(2 \frac {7}{9})^{ \frac {1}{2}}-(2 \sqrt {3}-π)^{0}-(2 \frac {10}{27})^{- \frac {2}{3}}+0.25^{- \frac {3}{2}}\\)
\\((2)\log _{2.5}6.25+\lg 5+\ln \sqrt {e}+2^{-1+\log _{2}3}+(\lg 2)^{2}+\lg 5\cdot \lg 2\\)

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