
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
Given the universal set $U=\{x|x\in\mathbb{N}, x<10\}$, $A=\{x|x=2k, k\in\mathbb{N}, x\in U\}$, $B=\{x|x^2-3x+2=0\}$.  
(1) List the sets $U$, $A$, and $B$.  
(2) Find $A\cap B$, $A\cup B$, and $C_UA$.

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