
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
A ball is released on the curve defined by $y = x^2 + x - 12$ from a point R where the y-coordinate is $2$. The ball rolls down the curve to the closest point S, where the y-coordinate is $-10$. Calculate the numeric difference between the x-coordinates of R and S.
A) $5$
B) $5.25$
C) $5.275$
D) $6$
E) $7$

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