Cryptic crossword clue
Pacify ace German mathematician returning to base 7

The most common and most likely answer to this crossword clue is the 7 letter word ASSUAGE

I've seen this crossword clue in Financial Times
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Buddy explains!

The straight part
We know that "Pacify" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pacify = assuage.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does ASSUAGE mean?

ASSUAGE verb
  1. To lessen the intensity of, to mitigate or relieve (hunger, emotion, pain etc.).
  2. To pacify or soothe (someone).
  3. To calm down, become less violent (of passion, hunger etc.); to subside, to abate.

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