Is there a way to obtain, as a result, a table or matrix containing only numeric values of l, m, n, o, p, x? without ConditionalExpression, and without C[1],C[1][Element]Integers&&C[2][Element]Integers&&C[3][Element]Integers&&C[4][Element]Integers&&C[5][Element]Integers],
from this:
a = 14;
b = 1;
c = 46;
d = 80;
e = 83;
d1 = 18;
d2 = 45;
d3 = 90;
d4 = 54;
d5 = 27;
Solve[{x == Mod[a + (90*l + d1)/9, 90] == Mod[b + (90*m + d2)/9, 90] == Mod[c + (90*n + d3)/9, 90] == Mod[d + (90*o + d4)/9, 90] == Mod[e + (90*p + d5)/9, 90]}, {l, m, n, o, p, x}, Integers]
i get this:
{{l -> ConditionalExpression[9 C[1], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers &&
C[5] \[Element] Integers],
m -> ConditionalExpression[1 + 9 C[2], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers && C[5] \[Element] Integers],
n -> ConditionalExpression[5 + 9 C[3], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers && C[5] \[Element] Integers],
o -> ConditionalExpression[2 + 9 C[4], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers && C[5] \[Element] Integers],
p -> ConditionalExpression[2 + 9 C[5], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers && C[5] \[Element] Integers],
x -> ConditionalExpression[16, C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers &&
C[5] \[Element] Integers]},
{l -> ConditionalExpression[1 + 9 C[1], C[1] \[Element] Integers && C[2] \[Element] Integers && C[3] \[Element] Integers && C[4] \[Element] Integers && C[5] \[Element] Integers],
m -> ConditionalExpression[2 + 9 C[2], C[1] \[Element] In
TNK