
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 inequality:
(1) \((x-2)^{11}(x+1)^{22}(x+3)^{33}<0\);
(2) \((4x+3)^{5}(3x+2)^{3}(2x+1) \leq 0\);
(3) \((x+3)(x+1)^{2}(x-2)^{3}(x-4) \leq 0\).

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