
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
Let  $f(x)=(x-1)(x-2)(x-3)$ . Consider  $g(x)=min\{f(x),f'(x)\}$ . Then the number of points of discontinuity are 
[list=1]
[*] 0
[*] 1
[*] 2
[*] More than 2
[/list]

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