
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 large square hall is tiled uniformly with square tiles. There are two perpendicular lines of tiles running from one corner of the hall to the opposite corner that have been painted black. All other tiles are white. If there are 153 total black tiles after removing the 3 miscounted black tiles originally included, what is the total number of tiles?
A) 5929
B) 6084
C) 6241
D) 6400

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