A cheat solution.
The fractions are not a simplify fractions.
Most nonzero elements in row
Number of 1s in the Binary Representation of a Number
Find best placement for ordered dominoes (harder)
Divisible by 7
Scrabble Scores - 3
Rule of mixtures (composites) - lower and upper bounds
Lights Out 7 - 5x5, x moves
Stress-Strain Properties - 4
Highly divisible triangular number (inspired by Project Euler 12)
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