
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 value of the following expressions:
\[(1)0.0625\;^{ \frac {1}{4}}+[(-3)^{4}]\;^{ \frac {1}{4}}- ( \sqrt {5}- \sqrt {3})^{0} + 33 \frac {3}{8} \;\]
\[(2)(\log_ {10} 2)^{2}+\log_ {10} 2\cdot\log_ {10} 5+ \sqrt {(\log_ {10} 2)^{2}-2\log_ {10} 2+1}+\log_ {4}5\cdot\log_ {5}4.\]

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