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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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perimeter
partitions
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sequences
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products
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sum to infinity
cards
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surds
binary
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median
matrices
sets
remainders
scales
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consecutive numbers
area
taxicab geometry
addition
multiplication
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dominos
speed
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time
chess
crosswords
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geometric means
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tiling
hexagons
number
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spheres
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chalkdust crossnumber
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volume
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christmas
wordplay
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angles
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integration
perfect numbers
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consecutive integers
rectangles
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division
coins
square roots
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cryptic crossnumbers
folding tube maps
balancing
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lines
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