
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 function \( y = f(x) \) is known to be defined and continuous on the entire real line, odd, and periodic with a period of 5. Additionally, it is known that \( f(-1) = f(2) = -1 \). What is the minimum number of roots that the equation \( f(x) = 0 \) can have on the interval \([1755; 2017]\)?

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