Looks formidable, math notation is rather clumsy and seems to be designed to confuse rather than enlighten, but it is easy to solve computationally. We check the coefficient of x^85 and find that is 7, meaning there are 7 solutions to this.
We can also use Bezouts Identity:
From the first solution (27,1) this reduces to
now we only have to apply k = 0, -1, -2, -3, -4, ... to get all the solutions:
{3, 19}, {7,16}, {11, 13}, {15, 10}, {19, 7}, {23, 4}, {27,1}
]]>Here is one solution:
https://en.wikipedia.org/wiki/Kirkman%2 … rl_problem
I have translated it to letters hoping I did not make a mistake.
]]>anonimnystefy wrote:I disagree with the number alphabet puzzle's solution. You can write myriad with the letters.
Nice! Also "many", "lots" and "heaps".
Thanks bobby for those, will add them.
Well, unlike "heaps" and "many" and such, "myriad" is an actual number.
The puzzles are nice indeed! And there have been so many new ones in the last couple of days! Keep up the good work!
]]>Nice puzzles, lot of fun to work on.
]]>I disagree with the number alphabet puzzle's solution. You can write myriad with the letters.
Nice! Also "many", "lots" and "heaps".
Thanks bobby for those, will add them.
]]>For the "It Could Be Verse" puzzle there are three more solutions:
For "Mince Pie Madness" that is the correct solution. You solve it using this equation.
p = 109
]]>It Could Be Verse
Measuring 7 Liters
Mince Pie Madness
Santa Has A Bad Code
Four-sided Dice
The Schoolgirl Problem
The Pearl Necklace
One Square and a Half
Missing Number 1
Squares on a Chess Board
Alphabet Numbers
Ten Coins in Five Rows