
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
A larger square contains two smaller squares within it. The side lengths of the smaller squares are 5 units each, and the side length of the larger square is 12 units. The smaller squares do not overlap. What is the number of square units in the area of the black region, assuming the rest of the area is painted black?

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