Calculating the roman pantheon

The Roman pantheon consisted of a large number of deities.

The Roman chronicler Problematus recorded that a limited number of their gods would be sufficient to have as deities. He noted this because you could have a sum of four numbers, and replace digits with letters (always replace the same digit with the same letter), and get:

What numbers do the letters stand for?

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Problems = Puzzles?

In the following puzzle, every letter stands for exactly 1 digit.

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Plants

“How many plant species are there?” It was of course my old friend professor Brainstrain who asked this. His nephew looked bewildered.
“10? No, more”, he thought. Then he asked: “over a hundred, maybe?”
“Many more,” the professor asked with a smile.
He went on:
“In the following addition, every digit had been replaced with a letter. Find the original sum.

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