
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
Given the equations of the parabola \( y = x^2 + 2x - 3 \) and the horizontal line \( y = m \), where \( -8<m<5 \), determine the value of \( s \) as \( m \) approaches 0, where \( s = \frac{M(-2m) - M(m)}{2m} \), and \( M(m) \) is the \( x \)-coordinate of the left-most intersection point of the parabola and the line.

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