
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 1970, there were 300,000 cases of a disease reported in a country. By 2020, this number had decreased to 100 cases. How many cases of the disease would have been reported in 2005 and 2015 if the number of cases reported from 1970 to 2020 decreased linearly?

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