
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
Monic quadratic polynomial $P(x)$ and $Q(x)$ have the property that $P(Q(x))$ has zeros at $x=-7, -5, -3,$ and $-1$, and $Q(P(x))$ has zeros at $x=-14,-12,-10$ and $-8$. What is the sum of the minimum values of $P(x)$ and $Q(x)$?
A) -200
B) -180 
C) -160
D) -140 
E) -120

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