
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
In 1950, there were 500,000 cases of a particular disease reported in a country. In 2000, there were 1,000 cases reported. How many cases of the disease would have been reported in 1975 if the number of cases reported from 1950 to 2000 decreased linearly?

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