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Remember “Unique and restricted” ? ,b (pid=13696)
There I have asked for a restricted answer to an alphametic puzzle and got a set of many words.

Now I have fiddled with a similar equation and again will allow only answers not using any of the letters appearing in “TWELVE”.

TWELVE + TWELVE = (Oompha, grubby, payoff, droppy ….et al)

Your task is to find an answer to my puzzle such that adding the numerical values of all 6 letters in the word chosen by you (a long list of candidate solutions) will be closest to 24.

Start your chase.
Good luck!

Let each of m and n be a real number that satisfy this equation:
(2m+√(1+ 4m²))(3n+√(1+9n²))=1

Determine the value of (2m+3n)²

Find the minimum possible positive integer base corresponding to which this alphametic has at least one solution:

  STRONG
 +STRONG
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 PROBLEM

Ms Math's kindergarten class has 16 registered students. The classroom has a very large number, N, of play blocks which satisfies the conditions:

(a) If 16, 15, or 14 students are present in the class, then in each case all the blocks can be distributed in equal numbers to each student, and

(b) There are three integers 0 < x < y < z < 14 such that when x, y, or z students are present and the blocks are distributed in equal numbers to each student, there are exactly three blocks left over.

Find the sum of the distinct prime divisors of the least possible value of N satisfying the above conditions.

A complex number a≠-1 is the root of an equation x³+1=0.

Find 1+2a+3a²+4a³+5a⁴.

SOLVE:

[luxury fashion firm]+5 = [newspaper]

You are given a regular decagon A₁A₂... A₁₀. Let A be the intersection point of lines A₁A₄ and A₂A₅, B is the point of intersection of lines A₁A₆ and A₂A₇, and C is the point of intersection of lines A₁A₉ and A₂A₁₀. Find the angle of ABC.