
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 point $P(0,-2)$, the points $A$ and $B$ are respectively the left and right vertices of the ellipse $E$ with equation $\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$ (where $a > b > 0$). The line passing through $B$ and $P$ intersects $E$ at point $Q$. The triangle $\triangle ABP$ is an isosceles right triangle, and $\vec{PQ} = \frac{3}{2}\vec{QB}$.

(1) Find the equation of $E$.

(2) Let a variable line $l$ passing through point $P$ intersect the ellipse $E$ at points $M$ and $N$. When the origin point $O$ is outside the circle with diameter $MN$, find the range of values for the slope of $l$.

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