????????
      ----------
YQMJG ) XQPXJJGJ
       -XXJQQG
        ======
         MXJURG
        -MMYPPM
         ======
          PPRGQJ
         -PPMYYQ
          ======
          ??????

base: 10
symbols: GJMPQRUWXY
missing: W
difficulty: medium
hints: U << M, M << W

Borrows and Takes:
=================

         ? ? ? ? ? ? ? ?
      -- - - - - - - - -
YQMJG )  X Q P X J J G J
       - X X J Q Q G
         = = = = = =
           M X J U R G
         - M M Y P P M
           = = = = = =
             P P R G Q J
           - P P M Y Y Q
             = = = = = =
             ? ? ? ? ? ?

Relational Chains:
=================

  * U << M
  * M << W

NOTE: '<'  denotes EXACTLY ONE less than
      '<<' denotes SOMEWHAT less than

Range Table:
===========

      0 1 2 3 4 5 6 7 8 9 
                          

G = { 0 1 2 3 4 5 6 7 8 9 }
J = { 0 1 2 3 4 5 6 7 8 9 }
M = { 0 1 2 3 4 5 6 7 8 9 }
P = { 0 1 2 3 4 5 6 7 8 9 }
Q = { 0 1 2 3 4 5 6 7 8 9 }
R = { 0 1 2 3 4 5 6 7 8 9 }
U = { 0 1 2 3 4 5 6 7 8 9 }
W = { 0 1 2 3 4 5 6 7 8 9 }
X = { 0 1 2 3 4 5 6 7 8 9 }
Y = { 0 1 2 3 4 5 6 7 8 9 }

Multiplication Table:
====================

[*]   1  2  3  4  5  6  7  8  9 
   +--------------------------- 
 1 |  1  2  3  4  5  6  7  8  9
 2 |  2  4  6  8 10 12 14 16 18
 3 |  3  6  9 12 15 18 21 24 27
 4 |  4  8 12 16 20 24 28 32 36
 5 |  5 10 15 20 25 30 35 40 45
 6 |  6 12 18 24 30 36 42 48 54
 7 |  7 14 21 28 35 42 49 56 63
 8 |  8 16 24 32 40 48 56 64 72
 9 |  9 18 27 36 45 54 63 72 81