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Advent calendar 2017
6 December
All 2017 advent puzzles
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\(p(x)\) is a quadratic with real coefficients. For all real numbers \(x\),
$$x^2+4x+14\leq p(x)\leq 2x^2+8x+18$$
\(p(2)=34\). What is \(p(6)\)?
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106
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geometric means
scales
xor
square grids
indices
parabolas
chess
functions
angles
speed
mean
tiling
christmas
binary
even numbers
surds
wordplay
time
money
quadratics
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multiples
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dice
sets
integers
floors
addition
products
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prime numbers
elections
sport
division
odd numbers
algebra
remainders
percentages
ellipses
digital products
star numbers
lines
coordinates
albgebra
taxicab geometry
coins
dominos
complex numbers
number
regular shapes
logic
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gerrymandering
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