
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: $\sqrt{\frac{4}{9}} - \sqrt{(-2)^4} + \sqrt[3]{\frac{19}{27} - 1} - (-1)^{2017}$,

(2) Find the value(s) of $x$ that satisfy the equation: $(x-1)^2 = 9$.

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