
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
1. Convert the following numbers in different bases to decimal form and arrange them in ascending order: \\({85}\_{\\left(9\\right)} \\), \\({210}\_{\\left(6\\right)} \\), \\({1000}\_{\\left(4\\right)} \\)
2. If two dice are thrown consecutively and the scores obtained are $m$ and $n$, what is the probability that the point $P(m,n)$ will fall on the line $x+y=7$?
3. Find the range of $a$ such that the straight line $y=a$ intersects the graph of the function $f(x)=x^{3}-3x$ at three distinct points.
4. Given the ellipse \\(\\dfrac{{{x}^{2}}}{4}+\\dfrac{{{y}^{2}}}{2}=1\\), a line $l$ passing through the point $P(1,1)$ intersects the ellipse at points $A$ and $B$. If $P$ is the midpoint of line segment $AB$, what is the slope of line $l$?

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