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Mathematical complete solution answer
The answer is 5.

Process:

If x equals 0, then:

The fifth power of ax+the third power of bx +cx+d=3, then d = 3;

If x equals 2002, then:

The fifth power of ax+the third power of bx +cx+d= 1, then the fifth power of ax+the third power of bx +cx=-2,

Because when x=2002 and x= negative 2002 are opposite numbers, when x= negative 2002,

The fifth power of ax+the third power of bx +cx=2, the fifth power of ax+the third power of bx +cx+d=2+3=5.