
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
The difference between the minimum value of the sum of the squares of ten different odd numbers and the remainder of this minimum value divided by 4 is $\qquad$. (Note: The product of a natural number with itself is called the square of the number, such as $1 \times 1 = 1^2$, $2 \times 2 = 2^2$, $3 \times 3 = 3^3$, and so on).

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