
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) $\left(2\frac{7}{9}\right)^{\frac{1}{2}}-(2\sqrt{3}-\pi)^{0}-\left(2\frac{10}{27}\right)^{-\frac{2}{3}}+0.25^{-\frac{3}{2}}$；

(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