This was a fun problem, but I think lookup table solutions are possible given the way the way the test suite is configured. Maybe you could add a string parser to see if the test suite correct solutions are included in the answer code?
Remove the polynomials that have positive real elements of their roots.
Acid and water
Change the sign of even index entries of the reversed vector
Largest Twin Primes
05 - Vector Equations 2
Factorizing a number into a given number of factors
Return the sequence element I
Number construction II
Juggler sequence revisited
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