Congrats to boxerbailey on a mega-FTF! (hint was added later)
If you aren't familiar with this kind of puzzle, you may want to try solving GC61BVX: (NSML02: a Micro Logic Tutorial) first.
You can get the coordinates by solving the following: The 26 letters (A, B, C, ... Z) represent the numbers from 1 to 26. No two letters are equal. "G*A" represents multiplication.
A + Y = B + W = C + T = D + K = E + Z = F + P = G + J = H + I = L + N = O + X = Q + V = R + S = M
(L * L + J * J) * X = H
J * Q = S
J * A = C
L * E = W
L * A = D
L – J = X
D – C = A
F – X = P * L
The cache is hidden at N 45° 05.XXX W 064° 20.YYY where:
XXX = (A * B) + (C * D) + ( E + F + G + H + I ) * J + (K * L * Z) – (W * P) + X + 74
YYY = (M * N) + (O * P) + (Q + R + S + T + U) + (V * Q) – (E + W + X + Y + Z) – 90
Note that the minutes of the listed coords are not the same as the hidden coords.
The geocache is within 3 metres of the trail.
You can either check your coordinates using the "official" checker (enter the coordinates) or using certitude.
To check your coordinates using certitude, enter the letters of your solution from smallest to largest, in the format ABC.SRT. and so on (capitals, with a . between every third letter). So if you found that
A=4, B=1, C=2, D=26,E=3, F=5, G=6, H=7, I=8, J=9, K=10, L=11, M=12, N=13, O=14, P=15, Q=16, R=17, S=18, T=19, U=20, V=21, W=22, X=23, Y=24 and Z=25, you would enter
BCE.AFG.HIJ.KLM.NOP.QRS.TUV.WUX.ZD in certitude.
You can validate your puzzle solution with
certitude.

This cache owner
supports the
Association of Nova Scotia Geocaching