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Advent calendar 2015

24 December

This puzzle was part of the 2015 Advent calendar.
All 2015 advent puzzles ~ More information
Today's number is the largest possible remainder which can be obtained when dividing one of the answers in this advent calendar by another answer smaller than it (not including today's answer!).

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Tags: numbers, division

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triangle numbers means speed pascal's triangle cube numbers products sets taxicab geometry christmas prime numbers books geometry sums shape addition doubling irreducible numbers sum to infinity trigonometry cubics odd numbers palindromes factorials remainders quadrilaterals surds area spheres geometric means games parabolas integration xor square roots proportion advent axes square grids crosswords factors scales 3d shapes calculus folding tube maps fractions star numbers tangents people maths chess matrices angles differentiation ellipses ave powers money dice determinants neighbours pentagons multiplaction squares perfect numbers volume chocolate quadratics bases division averages rectangles tiling probability percentages triangles logic number coordinates unit fractions sequences binary combinatorics polygons numbers polynomials wordplay regular shapes planes balancing geometric mean expansions colouring menace digital products gerrymandering decahedra cryptic crossnumbers complex numbers dodecagons elections time dominos lines multiplication routes functions algebra the only crossnumber hexagons crossnumbers graphs integers even numbers median digits grids coins cryptic clues cards lists medians consecutive numbers rugby digital clocks mean squares perimeter shapes range square numbers partitions arrows symmetry consecutive integers tournaments probabilty dates floors 2d shapes clocks prime factors circles multiples albgebra chalkdust crossnumber indices sport

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