Solve the following equations by converting to standard form (see below):

  • ** eeeeee = aeeeeiiiouu
  • ** eeeeee = aeeeoouuu
  • -/ eeeo = i
  • *- eeooo = eeee
  • / aeiou = aeeioouu
  • /+/ eiiiiii = eo

Brief Overview

This is essentially a cross between a math puzzle and a word puzzle. I'll explain how this works by going backwards from a solution.

  1. Start with an elementary equation:
  2. In English, this can be written:
  3. Remove all consonants:
    (Note: aeiou are the only vowels wrt this puzzle)
  4. Move vowels to the end of each side of the = and sort:
    +* eeooo = ee

Again, you're going the other way; you are given form 4. above, and expected to find form 1. (or 2.).

That is, the answer to: +* eeooo = ee
is: 1+1*2=3


Rules followed by the puzzle format:

  • Multiplication (*) and division (/) collectively are performed left to right.
    For example, 9*4/6*236/6*26*212.
  • Addition (+) and subtraction (-) are then performed left to right in a similar manner.
  • All operands are positive integers.
  • All intermediate results are also positive integers.
    For example, 2/4*2 will never appear in a solution because 2/4 is performed first, and this is not a positive integer.
    Likewise, 3-4+5 will not appear because 3-4 is not a positive integer.
  • Numbers are in formal American English form.
    Briefly, don't use the article "a" or the conjunction "and" in number names; 101 is spelled one hundred one.
  • Per the rules of this puzzle, answers that commute into each other (to form the same operator set) are considered equivalent.
    For example, if j*k+l*m works for some j k l m, l*m+k*j is considered the same answer.
  • Notwithstanding the above equivalence principle, the solution to all challenge problems is unique.

2 Answers 2












  • $\begingroup$ I think 3 might be wrong. The question has three e's on the left while yours has four. +1 for the others though. $\endgroup$
    – hexomino
    Commented May 1, 2018 at 8:53
  • $\begingroup$ @hexomino You're right, I miscounted. Fixed it. $\endgroup$
    – noedne
    Commented May 1, 2018 at 8:54
  • $\begingroup$ Vowel counts don't match for one of your answers. $\endgroup$
    – H Walters
    Commented May 1, 2018 at 13:45

It looks like 2 is still open?

10 * 17 * 20 = 3400


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.