
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: $$\sqrt{\frac{4}{9}} - \sqrt{(-2)^4} + \sqrt[3]{\frac{19}{27}-1} - (-1)^{2017}$$  
2. Find the value(s) of $x$ that satisfy the condition: $$(x-1)^2 = 9.$$

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