
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) ${\sqrt{(π-\frac{13}{4})^{2}}+(\frac{16}{49})^{-\frac{1}{2}}+(-8)^{\frac{2}{3}}+8^{0.25}×\sqrt[4]{2}+\sqrt[3]{(π-2)^{3}}}$;  
(2) $\frac{1}{2}\log{25}+\log{2}-\log{\sqrt{0.1}}-\log_{2}{9}×\log_{3}{2}$.

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