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Puzzle - Rate

We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days.

By this, I mean that the temperature rose by the same amount each day.

The average temperature was 2°C and I know it froze on two occasions.

I also know the product of the temperatures was over 500 but below 2,000 and each temperature was an integer.

What were the last 5 temperatures?

[Ref: ZHIR] © Kevin Stone

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