As a heads up, http://oeis.org/A138591 counts 1 as a polite number, but the test suite does not.
sum of non-primes
Volume and area of a sphere
Find vampire numbers
Sum of series I
(Linear) Recurrence Equations - Generalised Fibonacci-like sequences
Cut an orange
Calculate the Damerau-Levenshtein distance between two strings.
Packing oranges - one layer
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