
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
Sequence the numbers $\{2n+1\}$ into brackets such that the first bracket contains one number, the second bracket contains two numbers, the third bracket three numbers, and so on, with every fifth bracket restarting the cycle with one number. The sequence starts as follows: $(3),$ $(5, 7),$ $(9, 11, 13),$ $(15, 17, 19, 21),$ $(23),$ $(25, 27),\ldots$ What is the sum of the numbers in the $104$th bracket?

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