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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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prime numbers
balancing
symmetry
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shape
even numbers
triangle numbers
division
tiling
shapes
rugby
elections
hexagons
consecutive integers
routes
chalkdust crossnumber
spheres
books
digital clocks
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square roots
planes
crosswords
clocks
determinants
cryptic clues
floors
grids
median
colouring
angles
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expansions
number
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averages
crossnumber
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lines
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speed
mean
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time
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integration
arrows
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odd numbers
algebra
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axes
the only crossnumber
combinatorics
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products
coins
cryptic crossnumbers
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ave
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parabolas
tournaments
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digits
sport
probability
dominos
taxicab geometry
factorials
3d shapes
menace
percentages
geometry
binary
remainders
digital products
dodecagons
albgebra
folding tube maps
decahedra
quadrilaterals
sums
games
volume
gerrymandering
matrices
area
2d shapes
ellipses
people maths
polynomials
doubling
trigonometry
christmas
proportion
sum to infinity
geometric mean
graphs
integers
perfect numbers
scales
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factors
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