
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
Simplify or evaluate:
\\((\text{I})2^{-2}×(2 \dfrac {1}{4})\,^{ \frac {1}{2}}-( \dfrac {8}{27})\,^{ \frac {1}{3}}+(3 \dfrac {1}{3})^{0}\\);
\\((\text{II})\lg ^{2}2+\lg 2⋅\lg 5+ \sqrt {\lg ^{2}2-\lg 4+1}\\).

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