
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
Evaluate and simplify the following expressions:

(1) $(2\frac{7}{9})^{0.5} + 0.1^{-2} + (2\frac{10}{27})^{-\frac{2}{3}} - 3\pi^{0} + \frac{37}{48}$;

(2) $\frac{1}{2}\log_{\scriptstyle 10} \frac{32}{49} - \frac{4}{3}\log_{\scriptstyle 10} \sqrt{8} + \log_{\scriptstyle 10} \sqrt{245}$.

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