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?
Encode Roman Numerals
Find the stride of the longest skip sequence
Piecewise linear interpolation
Back to basics - mean of corner elements of a matrix
Divisible by 15
Increasing sub-sequence (Level 1)
The sliding puzzle: 3D
Sorting integers by their digits (Level 1)
Regular polygon bounded by and bounding a circle
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