
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 median of a set of consecutive odd integers is 160. If the greatest integer in the set is 179, and the arithmetic mean of the set is also 160, what is the smallest integer in the set?

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