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More Cryptarithms
The Contest Center 59 DeGarmo Hills Road Wappingers Falls, NY 12590 |
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Each puzzle is an arithmetic problem in which the digits have been replaced
(encoded) by letters. Your job is to reconstruct the arithmetic by logic
and trial. Some of the puzzles are quite easy. A few are fairly hard.
       Each letter always represent the same digit throughout a puzzle, so if A represents 5 in one place, it represents 5 everywhere. Of course, each puzzle uses a different representation (encoding).        In a few puzzles, some of the digits have been replaced by dots. In these puzzles a dot can represent any digit. Each dot could possibly represent a different digit. |
  HAPPY + HOLIDAYS + TO + ALL = HOHOHOHO   HAPPY + HOLIDAYS + TODAY = HOHOHOHO   PEACE = ON + EARTH * 5   PEACE = ON + EARTH * 6   (PEACE + ON + EARTH) * 3 = HEALTH |
  PUZZLE * S = TEASER TEASER * U = PUZZLE TEASER * P = PUZZLE TEASER * E = PUZZLE TEASER * R = PUZZLE BUILD * 7 = TOWNS |
  TEA * CUP * 1 = COFFEE TEA * CUP * 2 = COFFEE TEA * CUP * 3 = COFFEE TEA * CUP * 5 = COFFEE TEA * CUP * 6 = COFFEE TEA * CUP * 7 = COFFEE TEA * CUP * 8 = COFFEE |
  LETS + SEE + FERMAT*S = LAST + THEOREM   LETS + ALL + SEE + FERMAT*S + RARE + TEASER = THE + LAST + THEOREM |
  I + I + I + I + II = VI I + II + IV = VII I + I + I + I + I + I + I + II = IX I + I + I + II + II + IV = XI VI + VI = XII I + II + IX = XII I + IV + VII = XII IV + IV + IV = XII I + I + IV + VI = XII I + II + IV + V = XII I + III + IV + IV = XII II + II + IV + IV = XII II + III + III + IV = XII I + I + I + III + VI = XII I + I + II + II + VI = XII I + I + II + III + V = XII I + I + III + III + IV = XII I + II + II + II + V = XII I + I + I + II + II + V = XII I + I + I + I + I + I + II + IV = XII III + XI = XIV II + VI + VI = XIV III + V + VI = XIV I + IV + IV + V = XIV II + II + III + VII = XIV II + II + V + V = XIV II + IV + IV + IV = XIV III + III + IV + IV = XIV I + I + II + IV + VI = XIV I + I + III + IV + V = XIV |
  24 * HELL * N + HIGH = WATER 25 * HELL * N + HIGH = WATER 26 * HELL * N + HIGH = WATER 27 * HELL * N + HIGH = WATER 28 * HELL * N + HIGH = WATER |
81*ST + ACADEMY + AWARDS - AS + RARE = TEASERS |
  TEST + THE + TEASERS = TONIGHT TEST + THE + 40 + TEASERS = TONIGHT TEST + THE + 41 + TEASERS = TONIGHT TEST + THE + 42 + TEASERS = TONIGHT TEST + THE + 43 + TEASERS = TONIGHT TEST + THE + 44 + TEASERS = TONIGHT   TEST + THESE + 54 + TEASERS = TONIGHT TEST + THESE + 55 + TEASERS = TONIGHT TEST + THESE + 56 + TEASERS = TONIGHT TEST + THESE + 57 + TEASERS = TONIGHT   TEST + THOSE + 21 + TEASERS = TONIGHT TEST + THOSE + 22 + TEASERS = TONIGHT TEST + THOSE + 23 + TEASERS = TONIGHT TEST + THOSE + 24 + TEASERS = TONIGHT |
COLTS * 29 = BEARS * 17
(with S not 0) |
  O * ORIOLES = INDIANS K * ROCKIES = DODGERS   L * INDIANS = PHILLIES E * ROCKIES = PIRATES T * BREWERS = PIRATES S * DODGERS = INDIANS   P * MARLINS = PIRATES L * ORIOLES = RANGERS A * PIRATES = MARINERS Y * INDIANS = YANKEES   B * BREWERS = ROCKIES A * YANKEES = PIRATES S * INDIANS = MARLINS E * RANGERS = PHILLIES B * ORIOLES = DODGERS A * PIRATES = YANKEES L * MARLINS = BREWERS L * INDIANS = PIRATES   ---------------------   DODGERS * K = ROCKIES ROCKIES * K = DODGERS   ORIOLES * 2 = INDIANS ORIOLES * 3 = INDIANS ORIOLES * 4 = INDIANS   YANKEES * 6 = BREWERS ORIOLES * 6 = BREWERS   BASEBALL = (BREWERS + ORIOLES) * W BASEBALL = (BREWERS + ORIOLES + ORIOLES) * S |
  OK * 9 = ALL ALL * 7 = LETS LETS * 8 = SOLVE SOLVE * O = POSER POSER * 6 = RIDDLE RIDDLE * S = TEASERS TEASERS * S = PROBLEMS POSER * SLY = PROBLEM |
  POSERS x R ------- AWESOME |
  RIDDLES x X ------- TEASERS |
  TEASERS x S -------- PROBLEMS |
  RIDDLES x L -------- PROBLEMS |
  S O L V E A G O O D ----------- T E A S E R |
  S O L V E A J O L L Y ----------- T E A S E R |
  S O L V E A L I T T L E ----------- T E A S E R |
  W O O D x P E N ----------- N O W * * O * * * O O * ----------- P E N C I L |
  S P I N x T H E ----------- H O . P E T T . . . S P I N ----------- B O T T L E |
  R O A D x R A A ----------- A . R R A . R R R O A D ----------- R U N N E R |
  H A P P Y x P P P . --------------- H A P P Y . H A P P Y H A P P Y --------------- H O L I D A Y S |
  S O L V E A T E A S E R ----------- P L E A S E |
  L E T S S O L V E A G O O D ----------- T E A S E R |
  T E S T T H E T E A S E R S ------------- T O N I G H T |
  S O L V E A G O O D ----------- T E A S E R |
  S O L V E A J O L L Y ----------- T E A S E R |
  S O L V E A L I T T L E ----------- T E A S E R |
    A W I L L I S A D E A D D E A D G I V E ------- A W A Y |
  A W I L L I S A D E A D D E A D D E A D G I V E ------- A W A Y |
  A R I E S L E O L I B R A ----------- P I S C E S |
  G E M I N I V I R G O ----------- C A N C E R |
  H O H O H O H O H A P P Y H A P P Y H A P P Y H A P P Y --------------- H O L I D A Y S |
  H A P P Y H A P P Y H O L I D A Y S --------------- H O H O H O H O |
  H A P P Y H A P P Y H A P P Y H A P P Y H O L I D A Y S --------------- H O H O H O H O |
  H A P P Y H A P P Y H A P P Y H A P P Y H A P P Y H A P P Y H O L I D A Y S --------------- H O H O H O H O |
  I T S Y B I T S Y Y E A R S E N D ----------- T E A S E R |
  S E E I T S Y B I T S Y Y E A R S E N D ----------- T E A S E R |
  R A T E R A R E S P R I N G ----------- W I N T E R |
  R A T E R A R E S U M M E R ----------- W I N T E R |
  R A T E R A R E A U T U M N ----------- W I N T E R |
  R A T E R A R E S E A S O N ----------- W I N T E R |
  R A T E T H E T E A S E R |
  S O L V E A T E A S E R |
  R A T E T H E T E A S E R |
  R A T E R E A L T E A S E R |
  R A T E A S P R I N G |
  S U M M E R A U T U M N W I N T E R |
  S E E T H E R A R E T E A S E R S T H R E E L I T T L E |
  S E E T H E R E A L T E A S E R S T H R E E L I T T L E |
  S E E T H R E E L I T T L E |
  L E T S A D D I T T Y B I T T Y |
  L E T S A S S E S S I T T Y B I T T Y |
  L E T S T E S T T H E T E A S E R A |
  L E T S T E S T T H E P U Z Z L E A |
  H O O R A Y H O O R A Y A R A R E |
  H O O R A Y H O O R A Y A R A R E |
  R I D D L E R I D D L E |
  T E A S E R T E A S E R |
  T E A S E R T E A S E R |
  L E T S H A V E A R A R E H A S S L E F R E E |
  L E T S H A V E A R A R E & H A S S L E F R E E |
  L E T S S E E A N I C E N N E A T L I T T L E |
  L E T S S E E A D I V I N E D I V A S |
  T O N T O & L O N E R A N G E R |
  H E C T O R P R O T E C T O R |
  H E C T O R T H E P R O T E C T O R |
  T H E F E R R I S W H E E L |
  L E T S S E E A R A R E F E R R I S W H E E L |
  S U P E R D U P E R T E A S E R |
  D O A S U P E R D U P E R |
  H E E B I E J E E B I E S |
  P I G G L Y W I G G L Y |
  G R A S S R O O T S |
  M A M B O J A M B O |
  N I T T Y G R I T T Y |
  T R Y T H E N I T T Y G R I T T Y |
  T O O L I T T L E T O O L A T E A |
  P I N W I N S I N |
  H E R E H E R E A D D T H E S E |
  R E A D B R E A D & B U T T E R |
  P L E A S E L E T S S E E U S O L V E A R A R E |
  M Y M Y M Y M E E T T H E H U M P T Y D U M P T Y |
  N I C E - E G G |
P U Z Z L E S x A S --------------- E E . . . . . Z L L . . . . --------------- S U P E R M A N |
H I T x T H E --------- X . . . . . . . . ----------- B O T T L E |
  P U Z Z L E x 5 ----------- R I D D L E |
  P U Z Z L E x 6 ----------- T E A S E R |
  R I D D L E x 5 ----------- P U Z Z L E |
  T E A S E R x 5 ----------- P U Z Z L E |
  O D D S x N ------- E N D S |
  M O N A x L ------- L I S A |
  M O N A x I ------- L I S A |
  G A M E x S ------- O V E R |
  WHAT + A + HAPPY + NEW + YEAR + AS + WE + TRY + A + HAPPY = TEASER Who said two wrongs don't make a right? X * WRONG = 3 * RIGHT If DEAD is not odd, then A + WILL / IS * A + DEAD + GIVE = AWAY |
  DADDY + LETS + TRY + TO + SOLVE + A + REAL + RARE = TEASER DADDY + DADDY + TRY + TO + SOLVE + A + REAL + RARE = TEASER DADDY + DADDY + LETS + TRY + TO + SOLVE + A + REAL + RARE = TEASER |
  MAMA + MIA + A + RARE + RIDDLE = PUZZLE MAMA + MIA + ITS + A REAL + RIDDLE = TEASER MAMA + MIA + A + RARE + TEASER = RIDDLE MAMA + MIA + A + REAL + RARE + TEASER = RIDDLE HOT + OR + NOT + THE + REAL + RARE = TEASER TIME + WILL + TELL + A + RARE + TEASER = RIDDLE TIME + WILL + TELL + A + REAL + RIDDLE = TEASER |
  SMOKING = SUCKS * 82 SMOKING = SUCKS * 83 SMOKING = SUCKS * 84 SMOKING = SUCKS * 85 SMOKING = SUCKS * 86   SMOKING = SUCKS * 118 SMOKING = SUCKS * 119 SMOKING = SUCKS * 120 |
    JOHN*23 = ADAMS JOHN*45 + Q = ADAMS CHESTER = ARTHUR*6 JAMES*954 = BUCHANAN GEORGE - H - W = BUSH*11 GEORGE - W = BUSH*12 JIMMY*2 = CARTER GROVER = CLEVE + LAND*3 WILLIAM - J*2 = CLINTON*7 CALVIN*82 = COOLIDGE D = -EISEN + HOWER*5 (MILL+ARD)*11 = (FILL+MORE)*2 GERALD = FORD*24 ULYSSES + S = GRANT*105 WARREN*17 = HARDING WILLIAM*6 + H*3 = HARRISON (HER+BERT)*17 = HOOVER ANDREW*4 = JOHNSON LYNDON*12 + B = JOHNSON JOHN*299 + F = KENNEDY JAMES*29 = MADISON JAMES*3 = MONROE RICHARD = NIXON*17 JAMES - K = POLK*42 RONALD*7 = REAGAN*11 WILLIAM + H = TAFT*185 ZACHARY = TAYLOR*5 HARRY*5 + S = TRUMAN JOHN*58 = TYLER MARTIN = (VAN + BUREN)*5 WOODROW = WILSON*8 |
Solve in base 16
LETS+ALSO+REMEMBER+THE+GOLDEN+AGE+OF+ OLD+FILMS+AS+THE+FANTASTIC+BOGART+AND+ THE+FANTASTIC+BERGMAN+AND+THAT+DEAR+ OLD+SAM+STARRED+IN+ONE+OF+THE+MOST+ MEMORABLE+ACTION+FILMS+CALLED = CASABLANCA |
Solve in base 15
AS + A + STAMP + COLLECTOR + I + COLLECT + DEAR + OLD + CLASSIC + STAMPS + COOL + BEER + LABELS + SOME + BEER + COASTERS + OLD + BEER + CANS + NICE + BEER + CAPS + BASEBALL + AND + SPORTS + CARDS + NINE + AND + TEN + MECCANO + SETS + LIONEL + MODEL + TRAINS + RARE + BOOKS + AND + MAPS + AND + I + ALSO + COLLECTED + SOME + REAL + RARE + OLD = POSTCARDS AS + A + STAMP + COLLECTOR + I + COLLECT + DEAR + OLD + CLASSIC + STAMPS + COOL + BEER + LABELS + SOME + BEER + COASTERS + OLD + BEER + CANS + NICE + BEER + CAPS + BASEBALL + AND + SPORTS + CARDS + NINE + AND + TEN + MECCANO + SETS + LIONEL + MODEL + TRAINS + RARE + BOOKS + AND + MAPS + AND + I + ALSO + COLLECTED + SOME + REAL + RARE + OLD + DOLLS + BEARS + RACE + CARS + SNOOKER + TABLES + AND = POSTCARDS |
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