
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 following expressions:
1. $(1)(2 \frac{3}{5})^{0}+2^{-2}\cdot(2 \frac{1}{4})\;^{- \frac{1}{2}}+(\frac{25}{36})^{0.5}+\sqrt{(-2)^{2}}$;
2. $\frac{1}{2}\log_{\frac{32}{49}} -\frac{4}{3}\log_{\sqrt{8}}+\log_{\sqrt{245}}$.

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