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The Mathemagician

ANSWER: NAPIERS BONES

Authors: Charles Steinhardt and Craig Kasper

The puzzles' answers are as follows, presented in alphabetical order:

AESOPIAN
BARON PIERCY
ELOPING
EPISODIC
LOOSE TYPING
MIKE PIAZZA
NEON PINK
PIN NUMBER
PITA BREAD
REPINING
UNPILOTED
VARIABLE PITCH

Note that the puzzle answers each have exactly one instance of the letter sequence PI and exactly one instance of the letter E. The answers can be uniquely arranged in order from 1 through 12 so that the answer in the Nth position has PI located at the Xth position in the answer where X is the Nth digit of pi, and that the answer in the Nth position has E located at the Yth position in the answer where Y is the Nth digit of e. Pair the answers in this order with the list of numbers in the ascending order given to get:

7/11:  REPINING
10/11: PITA BREAD
11/10: ELOPING
3:     PIN NUMBER
7:     AESOPIAN
11:    VARIABLE PITCH
17:    EPISODIC
20:    BARON PIERCY
27:    NEON PINK
70:    UNPILOTED
73:    MIKE PIAZZA
77:    LOOSE TYPING

Note that the numbers given, when expressed in words, contain only the vowel E of the vowels AEIOU. Count the number of E's in each of the numbers given, and index into each respective answer:

SEVEN ELEVENTHS (5): REPI(N)ING
TEN ELEVENTHS (4):   PIT(A) BREAD
ELEVEN TENTHS (4):   ELO(P)ING
THREE (2):           P(I)N NUMBER
SEVEN (2):           A(E)SOPIAN
ELEVEN (3):          VA(R)IABLE PITCH
SEVENTEEN (4):       EPI(S)ODIC
TWENTY (1):          (B)ARON PIERCY
TWENTY-SEVEN (3):    NE(O)N PINK
SEVENTY (2):         U(N)PILOTED
SEVENTY-THREE (4):   MIK(E) PIAZZA
SEVENTY-SEVEN (4):   LOO(S)E TYPING

The answer is NAPIER'S BONES.