
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
If $x$ and $y$ are real numbers such that
\[ |x|-y = 5 \qquad \text{and} \qquad |x|y - x^2 = -12, \]
determine the integer nearest to $x+y$.
A) -6   
B) -5   
C) -1   
D) 0   
E) 1

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