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My post got corrupted when I entered it. Can we just have it removed?

The hard part of this is getting your head around the preamble. Once i understood what was required, the grid fill took about ten minutes. It's a sheep in wolf's clothing.

My understanding is that the Listener numericals, and Oyler's in particular, require no special mathematical skills but rely on thoughtful deduction. I have only played around with this for about ten minutes but am already closing in on a solution to one of the equations using a list of triangular numbers and some simple multiples.

My standard approach to these is to bash them out in Excel. I'm sure that I should be able to find the elegant solution, but I don't want to waste time looking for it.
So, these puzzles are a bit boring, but OK.
As always, I'm impressed at Oyler's ability to find the thematic triples in the first place!

Agree RHSL - only an A level in maths for me, but it was an hour trying to decode the preamble, 30 mins creating a sheet for each clue that allowed me to filter for each constraint and then just a case of plugging it in. I find the challenge of the numerical ones "can you do multiple steps without an error?" (those sudoko fans will understand the unpicking is almost impossible).
I found, as was said earlier, it to be a sheep in wolf's clothing but enjoyed it none the less.

I would be intrigued to hear how someone solves these without "hard breaking" it via excel.

Thanks Oyler

Don't want to give too much away Scubaj, but a good numerical setter like Oyler will have given some clues where you can deduce there are only a very small number of possible answers for some variable or other. This will then allow you to do the same thing for another. And so on. The trick is spotting which clue or variable only has one or two possible answers from the info you have.

I've come to a shuddering halt on this as I cannot get my head around the instructions. I have a result for clue VII, i.e. for n,m,K & k. However, problem 1. the resulting p,q,r result in a thematic triple which are not integers, Problem 2, although the value for "s" to satisfy my "p,q,r" is a triangular number, I do not see how it is derived from a thematic triple of non-integers. BTW I have A-levels in maths and further maths but no qualifications in logic!

Forget my last post, I've re-read the preamble and resolved my logic problem - eventually. My problem was deriving the triplet from the bases and not the triangular numbers that are produced by them. The instructions seem to be requiring more deciphering than the clues themselves.

Like some others, I've found the preamble daunting and my first thoughts may be appropriately expressed as "maybe Oyler's gone a bridge too far". But other posts encourage - I shall have a go this afternoon - it's raining here, anyway.

Solved all the clues and got a full grid now. However, in doing so my brain has ceased to function as I now do not understand the end game. Time for a rest methinks.