
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 parabola $y=-\frac{x^2}{2}$ intersects with a line $l$ that passes through point $M(0,-1)$ at two points $A$ and $B$. $O$ is the coordinate origin. If the sum of the slopes of $OA$ and $OB$ is $1$, find the equation of line $l$.

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