
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
1. Calculate the expression:

$$(1) {0.0625}^{\frac{1}{4}} + {\left[{(-3)}^{4}\right]}^{\frac{1}{4}} - {\left(\sqrt{5}-\sqrt{3}\right)}^{0} + \sqrt[3]{3\frac{3}{8}};$$

2. Simplify and evaluate the expression:

$$(2) {\log }_{\frac{1}{3}}\sqrt{27} + \lg 25 + \lg 4 + {7}^{-{\log }_{7}2} + {(-0.98)}^{0};$$

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