
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  $P$  be the parabola with equation  $y = x^2$  and let  $Q = (20, 14)$. Find the values of  $r$  and  $s$  such that the line through  $Q$  with slope  $m$  does not intersect  $P$, and then determine  $r + s$.

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