
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
Solve the equations:

1) \((x^{2}+2) \cdot |2x-5| = 0\)
  
2) \((x-3)^{3} x = 0\)

3) \(|x^{4}+1| = x^{4} + x\)

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