# Puzzles

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#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

Square and cube endings

List of all puzzles

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bases squares spheres angles irreducible numbers grids colouring advent perfect numbers logic polygons arrows cube numbers geometry dice folding tube maps clocks remainders coins lines integration cryptic crossnumbers regular shapes number square roots games shapes differentiation triangles sums division planes perimeter dates crosswords doubling multiples fractions pascal's triangle square numbers 3d shapes numbers time christmas factors averages 2d shapes indices functions mean star numbers ellipses palindromes trigonometry probability odd numbers cards shape factorials partitions means prime numbers balancing integers algebra multiplication triangle numbers calculus chalkdust crossnumber graphs probabilty volume addition books chess percentages quadratics proportion scales sport circles menace taxicab geometry rectangles people maths surds speed symmetry chocolate money complex numbers wordplay hexagons unit fractions digits routes sum to infinity coordinates ave rugby cryptic clues area parabolas floors dodecagons crossnumbers sequences## 10 December

The equation \(x^2+1512x+414720=0\) has two integer solutions.

Today's number is the number of (positive or negative) integers \(b\) such that \(x^2+bx+414720=0\) has two integer solutions.