Cryptic crossword clue
Former vice president wants Spain to condemn Smith’s rules 10

The most common and most likely answer to this crossword clue is the 10 letter word ALGORITHMS

I've seen this crossword clue in The Guardian
A
L
G
O
R
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T
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Buddy explains!

The straight part
We know that "rules" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rules = algorithms.
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 ALGORITHMS mean?

ALGORITHMS noun
  1. A collection of ordered steps that solve a mathematical problem. A precise step-by-step plan for a computational procedure that possibly begins with an input value and yields an output value in a finite number of steps.
  2. Calculation with Arabic numerals; algorism.

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