
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 $R(x)$ and $S(x)$ have the property that $R(S(x))$ has zeros at $x=-20, -18, -14,$ and $-12$, and $S(R(x))$ has zeros at $x=-61, -59, -53,$ and $-51$. Determine the sum of the minimal values of $R(x)$ and $S(x)$.
A) -3500
B) -3114
C) -3000
D) -2800

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