
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 the mapping $f: A \rightarrow B$, where $A = B = \{(x, y) | x, y \in \mathbb{R}\}$ and $f: (x, y) \rightarrow (x-y, x+y)$, find the element in $B$ that corresponds to the element $(-1, 2)$ in $A$.

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