
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:

$(1)(5 \frac{1}{16})^{0.5}+(-1)^{-1}\div0.75^{-2}+(2 \frac{10}{27})^{ \frac{2}{3}} \;$;

$(2)\log_{3} \sqrt{27}+\log 25+\log 4+7^{\log_{2}2}+(-9.8)^{0} \;$.

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