
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 or simplify the following expressions:
(I) $(0.027)^{\frac{1}{3}} - (6\frac{1}{4})^{\frac{1}{2}} + 256^{\frac{3}{4}} + (2\sqrt{2})^{\frac{2}{3}} - 3^{-1} + \pi^0$
(II) $\frac{x-1}{x^{\frac{2}{3}} + x^{\frac{1}{3}} + 1} + \frac{x+1}{x^{\frac{1}{3}} + 1} - \frac{x-x^{\frac{1}{3}}}{x^{\frac{1}{3}}-1}$

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