
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
From the set $\{1, 2, 3, \dots, 32\}$, two numbers are selected such that the sum of the remaining $30$ numbers equals the product of those two numbers. Determine the product of these two numbers.
A) 475
B) 484
C) 495
D) 504
E) 512

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