
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 a right triangle \(ABC\) with \(\angle B\) being the right angle, let \(M\) be a point on the hypotenuse that is equidistant from the two legs of the triangle. Could you find the value of the following expression:

\[ 
\begin{aligned}
E & =\sqrt{1830}\left(A C-\sqrt{A B^{2}+B C^{2}}\right) \\
& +1789-\frac{\frac{1}{A B}+\frac{1}{B C}-\frac{\sqrt{2}}{B M}}{(1848)^{3}} ?
\end{aligned}
\]

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