
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  $p(x)=x^4-4x^3+2x^2+ax+b$ . Suppose that for every root  $\lambda$  of  $p$ ,  $\frac{1}{\lambda}$  is also a root of  $p$ . Then  $a+b=$ [list=1]
[*] -3
[*] -6
[*] -4
[*] -8
[/list]

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