More puzzles in cryptic arithmetic
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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       In a few puzzles, some of the digits have been replaced by dots.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.

 

Season's Greetings by Frank Mrazik
  
HAPPY + HOLIDAYS + TO + ALL = HOHOHOHO
 
HAPPY + HOLIDAYS + TODAY = HOHOHOHO
 
PEACE = ON + EARTH * 5
 
PEACE = ON + EARTH * 6
 
(PEACE + ON + EARTH) * 3 = HEALTH


Super by Frank Mrazik
  
PUZZLE * S = TEASER
TEASER * U = PUZZLE
TEASER * P = PUZZLE
TEASER * E = PUZZLE
TEASER * R = PUZZLE

BUILD * 7 = TOWNS


Tea or Coffee? by Frank Mrazik
  
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


Fermat by Frank Mrazik
  
LETS + SEE + FERMAT*S = LAST + THEOREM
 
LETS + ALL + SEE + FERMAT*S + RARE + TEASER
= THE + LAST + THEOREM


Doubly True Roman Numerals by Frank Mrazik
  
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

I + II + II + II + VII = XIV I + II + II + IV + V = XIV I + I + I + I + IV + VI = XIV I + I + I + II + IV+ V = XIV I + I + I + I + I + II + VII = XIV I + I + I + I + I + III + VI = XIV I + I + I + I + II + II + VI = XIV I + I + I + I + I + I + II + VI = XIV V + V + V = XV I + I + I + I + II + IX = XV I + I + I + IV + IV + IV = XV I + I + II + II + IV + V = XV I + I + I + I + I + IV + VI = XV I + I + I + II + II + IV + IV = XV I + II + II + II + II + II + II + II = XV I + I + I + II + II + II + II + II + II = XV
II + III + XI = XVI IV + V + VII = XVI I + I + IV + X = XVI I + IV + V + VI = XVI III + III + IV + VI = XVI I + I + I + IV + IX = XVI I + I + II + III + IX = XVI I + I + II + VI + VI = XVI I + I + III + V + VI = XVI I + II + II + IV + VII = XVI I + II + II + V + VI = XVI I + II + III + V + V = XVI I + I + I + II + V + VI = XVI I + II + III + III + III + IV = XVI I + I + I + II + II + IV + V = XVI I + I + I + I + I + I + IV + VI = XVI II + III + III + IV + V = XVII


Helen Highwater by Frank Mrazik
  
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


ACADEMY AWARDS by Frank Mrazik
81*ST + ACADEMY + AWARDS - AS + RARE = TEASERS


Test the Teasers by Frank Mrazik
  
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


SUPERBOWL XLI by Frank Mrazik
COLTS * 29 = BEARS * 17

(with S not 0)


OK, LET'S PLAY BASEBALL by Frank Mrazik
  
 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


Short Multiplications by Frank Mrazik
  
OK * 9 = ALL
ALL * 7 = LETS
LETS * 8 = SOLVE
SOLVE * O = POSER
POSER * 6 = RIDDLE
RIDDLE * S = TEASERS
TEASERS * S = PROBLEMS
POSER * SLY = PROBLEM


Contributed by Frank Mrazik
  
 POSERS
 x    R
-------
AWESOME
  
RIDDLES
x     X
-------
TEASERS
  
 TEASERS
 x     S
--------
PROBLEMS
  
 RIDDLES
 x     L
--------
PROBLEMS


Contributed by Frank Mrazik
  
  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


Contributed by Frank Mrazik
  
    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


Contributed by Frank Mrazik
  
  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


Contributed by Frank Mrazik
  
  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


Contributed by Frank Mrazik
  
 
      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


Contributed by Frank Mrazik
  
  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


Contributed by Frank Mrazik
  
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


Contributed by Frank Mrazik
  
    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


Contributed by Frank Mrazik
  
    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


Contributed by Frank Mrazik
  
    R A T E
      T H E
T E A S E R

S P R I N G
  
  S O L V E
          A
T E A S E R

S U M M E R
  
    R A T E
      T H E
T E A S E R

A U T U M N
  
    R A T E
    R E A L
T E A S E R

W I N T E R


Contributed by Frank Mrazik
  
    R A T E
          A
S P R I N G

T E A S E R
  
S U M M E R
A U T U M N
W I N T E R

T E A S E R


Contributed by Frank Mrazik
  
        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

P U P P I E S
  
        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

K I T T E N S
  
      S E E
  T H R E E
L I T T L E

W O L V E S


Contributed by Frank Mrazik
  
    L E T S
      A D D
    I T T Y
  B I T T Y

T E A S E R
  
    L E T S
A S S E S S
    I T T Y
  B I T T Y

T E A S E R


Contributed by Frank Mrazik
  
    L E T S
    T E S T
      T H E
T E A S E R
          A

P U Z Z L E
  
    L E T S
    T E S T
      T H E
P U Z Z L E
          A

T E A S E R


Contributed by Frank Mrazik
  
H O O R A Y
H O O R A Y
          A
    R A R E

T E A S E R
  
H O O R A Y
H O O R A Y
          A
    R A R E

P U Z Z L E


Contributed by Frank Mrazik
  
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

R I D D L E
  
T E A S E R
T E A S E R

P U Z Z L E


Contributed by Frank Mrazik
  
    L E T S
    H A V E
          A
    R A R E
H A S S L E
    F R E E

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

T E A S E R
  
    L E T S
      S E E
          A
    N I C E
          N
    N E A T
L I T T L E

T E A S E R


Contributed by Frank Mrazik
  
    L E T S
      S E E
          A
D I V I N E
  D I V A S

T E A S E R
  
  T O N T O
          &
    L O N E
R A N G E R

T E A S E R


Contributed by Frank Mrazik
  
H E C T O R
      P R O
T E C T O R

P U Z Z L E
  
H E C T O R
      T H E
      P R O
T E C T O R

P U Z Z L E


Contributed by Frank Mrazik
  
      T H E
F E R R I S
  W H E E L

T E A S E R
  
    L E T S
      S E E
          A
    R A R E
F E R R I S
  W H E E L

T E A S E R


Contributed by Frank Mrazik
  
  S U P E R
  D U P E R
T E A S E R

P U Z Z L E
  
        D O
          A
  S U P E R
  D U P E R

P U Z Z L E


Contributed by Frank Mrazik
  
  H E E B I E
J E E B I E S

T E A S E R S
  
  P I G G L Y
  W I G G L Y

P U Z Z L E S
  
  G R A S S
  R O O T S

T E A S E R
  
  M A M B O
  J A M B O

P U Z Z L E


Contributed by Frank Mrazik
  
  N I T T Y
G R I T T Y

T E A S E R
  
      T R Y
      T H E
  N I T T Y
G R I T T Y

T E A S E R
  
      T O O
L I T T L E
      T O O
    L A T E
          A

T E A S E R


Contributed by Frank Mrazik
  
    P I N
  W I N S
      I N

C H E S S
  
    H E R E
    H E R E
      A D D
  T H E S E

D I G I T S
  
    R E A D
  B R E A D
          &
B U T T E R

I S S U E S


Contributed by Frank Mrazik
  
P L E A S E
    L E T S
      S E E
          U
  S O L V E
          A
    R A R E

T E A S E R
  
        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

P U Z Z L E


Subtraction by Frank Mrazik
  
 N I C E
-  E G G

N O G


Multiplications by Frank Mrazik
  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


Multiplications by Frank Mrazik
  
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


Multiplications by Frank Mrazik
  
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


Contributed by Frank Mrazik
  
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 by Frank Mrazik
  
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 by Frank Mrazik
  
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 by Frank Mrazik
  
SMOKING = SUCKS * 82
SMOKING = SUCKS * 83
SMOKING = SUCKS * 84
SMOKING = SUCKS * 85
SMOKING = SUCKS * 86
 
SMOKING = SUCKS * 118
SMOKING = SUCKS * 119
SMOKING = SUCKS * 120


U.S. Presidents by Frank Mrazik
  
 
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


Casablanca by Frank Mrazik
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


Base 15 by Frank Mrazik
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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