Alphametic puzzles, cryptarithms, Algebrograms, cryptograms solver




Math letter puzzles (also called alphametic puzzles, cryptarithms or cryptograms) are arithmetic problems which involve words where each letter stands for unique digit 0-9 that makes the arithmetic equation true. For instance, this is one of the most famous equations: SEND + MORE = MONEY


A+B = 11 && AB - 27 = BA
7+4 = 11 && 74 - 27 = 47

send+more=monez
9567+1085=10652

A*B+C-D=27 && A + E + I / M = 9 && ...
3*8+9-6=27 && 3 + 2 + 4 / 1 = 9 && 8 + 7 - 1 * 5 = 10
3*8+9-6=27 && 3 + 4 + 2 / 1 = 9 && 8 + 7 - 1 * 5 = 10
4*8+1-6=27 && 4 + 2 + 9 / 3 = 9 && 8 + 7 - 1 * 5 = 10
5*7+1-9=27 && 5 + 2 + 8 / 4 = 9 && 7 + 6 - 1 * 3 = 10

RRE + EER = EEEN
991 + 119 = 1110

A+B =11 && AB - 27 = BA
7+4 =11 && 74 - 27 = 47

LORD+MORD+KORD=RAKEV
2318+6318+9318=17954
2619+3619+8619=14857
3619+2619+8619=14857
4912+5912+7912=18736
5327+6327+9327=20981
5821+9821+4821=20463
5912+4912+7912=18736
6318+2318+9318=17954
6327+5327+9327=20981
9821+5821+4821=20463

A+B = 11; AB - 27 = BA
2+9 = 11; 29 - 27 = 92
3+8 = 11; 38 - 27 = 83
4+7 = 11; 47 - 27 = 74
5+6 = 11; 56 - 27 = 65
6+5 = 11; 65 - 27 = 56
7+4 = 11; 74 - 27 = 47
8+3 = 11; 83 - 27 = 38
9+2 = 11; 92 - 27 = 29

abc+acb+bca + bac + cba+ cab = 1554
124+142+241 + 214 + 421+ 412 = 1554
142+124+421 + 412 + 241+ 214 = 1554
214+241+142 + 124 + 412+ 421 = 1554
241+214+412 + 421 + 142+ 124 = 1554
412+421+124 + 142 + 214+ 241 = 1554
421+412+214 + 241 + 124+ 142 = 1554

A+B = 11; AB-BA = 27
2+9 = 11; 29-92 = 27
3+8 = 11; 38-83 = 27
4+7 = 11; 47-74 = 27
5+6 = 11; 56-65 = 27
6+5 = 11; 65-56 = 27
7+4 = 11; 74-47 = 27
8+3 = 11; 83-38 = 27
9+2 = 11; 92-29 = 27

A+B = 11; AB + 27 = BA
2+9 = 11; 29 + 27 = 92
3+8 = 11; 38 + 27 = 83
4+7 = 11; 47 + 27 = 74
5+6 = 11; 56 + 27 = 65
6+5 = 11; 65 + 27 = 56
7+4 = 11; 74 + 27 = 47
8+3 = 11; 83 + 27 = 38
9+2 = 11; 92 + 27 = 29

(1-x)^2*(1-x)^3
(1-1)^2*(1-1)^3
(1-2)^2*(1-2)^3
(1-3)^2*(1-3)^3
(1-4)^2*(1-4)^3
(1-5)^2*(1-5)^3
(1-6)^2*(1-6)^3
(1-7)^2*(1-7)^3
(1-8)^2*(1-8)^3
(1-9)^2*(1-9)^3

abc + acb + bca + bac + cba + cab =...
124 + 142 + 241 + 214 + 421 + 412 = 1554
142 + 124 + 421 + 412 + 241 + 214 = 1554
214 + 241 + 142 + 124 + 412 + 421 = 1554
241 + 214 + 412 + 421 + 142 + 124 = 1554
412 + 421 + 124 + 142 + 214 + 241 = 1554
421 + 412 + 214 + 241 + 124 + 142 = 1554

ab * cde = bacde
41 * 350 = 14350

yes + send + me + more = money
758 + 8539 + 15 + 1045 = 10357

ab * cd = bcad
21 * 87 = 1827

ab * cd = dacb
87 * 21 = 1827

A+B = 11 && AB - 27 = AB1
2+9 = 11 && 29 - 27 = 2