# Challenge

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+1*2=3
2. In English, this can be written:
one+one*two=three
3. Remove all consonants:
oe+oe*o=ee
(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

# Details

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.

1.

70*12*7=5880

3.

70-20/2=60

4.

42*2-7=77

5.

50000/20=2500

6.

96/6+36/6=22

• I think 3 might be wrong. The question has three e's on the left while yours has four. +1 for the others though. May 1 '18 at 8:53
• @hexomino You're right, I miscounted. Fixed it. May 1 '18 at 8:54
• Vowel counts don't match for one of your answers. May 1 '18 at 13:45
• @HWalters Thanks, I forgot the teen. May 1 '18 at 18:07

It looks like 2 is still open?

10 * 17 * 20 = 3400