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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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squares
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functions
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elections
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arrows
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volume
crossnumbers
regular shapes
proportion
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probabilty
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angles
integration
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ave
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menace
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perfect numbers
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triangle numbers
star numbers
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median
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probability
cubics
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gerrymandering
quadratics
expansions
indices
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tangents
christmas
means
determinants
cards
cube numbers
neighbours
people maths
taxicab geometry
division
dates
digital clocks
square numbers
algebra
surds
decahedra
sum to infinity
consecutive integers
grids
square grids
cryptic crossnumbers
shapes
albgebra
trigonometry
logic
folding tube maps
advent
prime numbers
sets
axes
even numbers
tiling
crosswords
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averages
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