Cryptarithms or Alphametics are puzzles in cryptic arithmetic
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Cryptarithms / Alphametics
The Contest Center
Wappingers Falls, NY 12590
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 These popular puzzles are called Cryptarithms by the American Cryptogram Association, and Alphametics by the Journal of Recreational Mathematics.        Whatever you call them, they all work the same way. Each puzzle consists of one or two arithmetic problems, where the digits 0 through 9 have been replaced by letters. Your job is to find the digit that each letter represents.        Letters always represent the same digit throughout a puzzle, so if N represents 5 in one place, it represents 5 everywhere. Of course, each puzzle uses a different representation. In some cases a digit has been replaced by an asterisk. That may be any digit.        Unless the rules for a given puzzle state otherwise, each digit is represented by only one letter, each letter represents only one digit, and any digits that appear in the puzzle may also be represented by a letter. For example, in a puzzle COUNTxUP=1234567 any of the letters C,O,U,N,T,P might represent one of the digits 1,2,3,4,5,6,7.

Short Multiplication
 F O U N D × A S K I L L

Long Multiplication
 H E I S H U B O F L A B

 S N O W Y L A C E C L E A R

 M O R E B O U N C E P E R O U N C E E N C O R E
 M O R E B O U N C E P E R O U N C E P O O R M E N O E N C O R E

 W O O D Y W O O D P E C K E R

 G O T T A G E T T A B I G W I N N E R

 D E A D L Y D U L L E R R A N D
 A D E A D L Y D U L L E R R A N D

 T H R E E C H E E R S H E R E S A T E A S E R
 T H R E E C H E E R S L O O K H E R E S A C O O L T E A S E R

 L E T S S O L V E T H I S L I T T L E T E A S E R
 S E E O U R D O U B L E T R O U B L E T E A S E R S

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

 S I D E B Y S I D E A S M A R T T E A S E R
 I S U R E L O V E T O S O L V E A T E A S E R

 T O S O L V E O R N O T T O S O L V E T H E T E A S E R
 T O S O L V E O R N O T T O S O L V E A R A R E T E A S E R
 D A D D A D L E T S A L L S O L V E A R E A L R A R E T E A S E R

 R O C K E T S C I E N C E I S I N T E A S E R S
 S O L V E A R A R E S T R E S S F R E E T E A S E R

 S E E A N E W W I L L Y N I L L Y T E A S E R
 Y E S L E T S A L L T R Y A F U N N Y T E A S E R

 S E E T H E N E A T B U N N Y T E A S E R A T E A S T E R

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

 P A L E A L E B E E R P L U S S T O U T T E A S E R

Short Multiplication
 O L D  ×  G E M  =  E X P E R T

Short Multiplication
 B I G  ×  S L Y  =  F E L L O W

Short Multiplication
 M A N  ×  B I T  =  M O N K E Y

Short Multiplication
 B I G  ×  E L F  =  P A R A D E

Short Multiplication
 A S K  ×  T H E  =  A M A Z O N

Short Multiplication
 A S K  ×  T H E  =  M O R O N S

Short Multiplication (contributed by R. A. Weiss)
 S P I R O  ×  7  =  A G N E W

Short Multiplication
 N I N E  ×  F O R  ×  E V E R  =  G O G O G O G O G O

 A D D S E V E N S E V E N S E V E N S E V E N S E V E N S E V E N S E V E N S E V E N E L E V E N E L E V E N E L E V E N E L E V E N E V E N H U N D R E D

 E L E V E N L A G E R S R E V I V E G E N E R A L

 E L E V E N L A G E R S R E V I V E A G E N I A L R E F E R E E

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

 H A V E A H A P P Y H A P P Y E A S T E R

 T H I S I S T H E H O T H O T H O T C H I L I P E P P E R

 O H I O H A W A I I K A N S A S A L A S K A I N D I A N A

 C I R C L E C I R C L E C I R C L E S P H E R E

 C I R C L E C I R C L E C I R C L E C I R C L E S P H E R E

 M Y M E L L O W Y E L L O W T E A S E R
 W O W M Y M E L L O W Y E L L O W P U Z Z L E

 C H I M P C H I M P C H I M P B A B O O N B A B O O N G I B B O N

 I D L O V E T O S O L V E T H E I R R I D D L E

 T O N T O A N D T H E L O N E R A N G E R

Planets (submitted by Sudipta Das)
Professor Earth, looking out of his observatory, told his friend Professor Math, "Out there are uncountable planets and stars... (sensing the latter's boredom) Now, did you know that the other planets of our solar system which you can see, are such that if you replace the letters of five of them by digits 0 through 9, then the sum of four of them is equal to the fifth one?"
Professor Math leapt out of boredom and began to scribble furiously in his notebook. While Professor Math is busy, why don't you try to name these planets, along with the digit denoted by each letter? Assume that leading zeros are not allowed.

Long Multiplication
 * * * * × * * 2 * * * 3 1 * * * 4 * * 5 5 * *

Long Multiplication
 * * * A * * * P R O B L E M * * * * * * P * * * * * * R * * * * * * O * * * * * * B * * * * * * * L * * * * * * * E X * P O M P O M * * * * * * * * * * * * * *

 F A T A L
 L I C O R I C E

Fractions #1
Find a solution where the letters representing the digits 0 to 9, in order, spell an ordinary English word.
 ```  O M L --- + --- + --- = 1 N E A P I D ```

Fractions #2 (contributed by Frank Mrazik)
Find a solution where the letters representing the digits 0 to 9, in order, spell two common English words.
 ```  O E Y --- + --- + --- = L B D R G L A ```

Fractions #3 (contributed by Frank Mrazik)
 ```  HAPPY A = ---------------- (4*TH + OF*JULY) ```

 I N T O O N T O C A N O N I N T A C T A M M O N I A O M I S S I O N D I A C R I T I C S T A T I S T I C S A S S O C I A T I O N A N T I M A C A S S A R C O N T O R T I O N I S T N O N D I S C R I M I N A T I O N C O N T R A D I S T I N C T I O N M I S A D M I N I S T R A T I O N

Powers
 HEROLD  =  SHYDOG

LINKS TO OTHER CRYPTARITHM & ALPHAMETICS WEBSITES
Jorge Soares Cryptarithms Online
More Cryptarithms
More Cryptarithms
Giant 10-Letter Cryptarithms

 For more Alphametics, and other mathematical puzzles write to     Journal of Recreational Mathematics     26 Austin Ave.     Amityville, NY 11701 Tell them you saw it on the Contest Center website. Send us an email to submit your answers, to ask for help, or to submit new alphametics. We welcome new puzzles from our site visitors. Be sure to change the \$ to an @ in our email address.