
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
In right triangle $DEF$, where angle $F$ is the right angle, $\cos{E} = \frac{12\sqrt{244}}{244}$. Determine the length of side $DE$.

[asy]
draw((0,0)--(12,0)--(0,22)--cycle,black+linewidth(1));
draw(rightanglemark((12,0),(0,0),(0,22),20),black+linewidth(1));
label("$D$",(0,0),W);
label("$E$",(12,0),E);
label("$F$",(0,22),W);
label("$\sqrt{244}$",(12,0)--(0,22),NE);
[/asy]

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