
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
Find the domain of each of the following functions:
1) \( y = \sqrt{1 - x^2} \)
2) \( u = \frac{x - 1}{x^2 - 5x + 6} + \sqrt[3]{2x + 1} \)
3) \( v = \arccos \left( \frac{1 - 2x}{3} \right) \)
4) \( p = \frac{x}{\sin x} \)
5) \( q = \log_2 (x^2 - 9) \)

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