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Find x³+y³+z³=42 and explanation please
Using Wilson's and Fermat's Little Theorem

What is the remainder when:

1.) 3^{31}\div73 31 ÷ 7

2.) 5^{119}\div595 119 ÷ 59

3.) 2^{70}+3^{30}\div132 70 + 3 30 ÷ 13

4.) 53!\div6153 ! ÷ 61

5.) 149!\div139149 ! ÷ 139

Find all integers x such that: x^{86}\equiv6\left(\mod29\right)
How many words can we build using exactly 4 A's, 4 B's and 4 C's if the first 4 letters cannot be A's, the second 4 letters cannot be B's and the third 4 letters cannot be C's?

Given digits 0,1,2,3,4,5,6 & 7

How many 4'digit different codes are possible if repetition is not allowed



11. Maya is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the largest tile she can use?
nP8+nP15+nP20+1=n (equation 1)
nP9+nP13+4=n (equation 2)
Find the number of permutations of four letters from the word MATHEMATICIAN
Find the sum of the series 1^2 + 2^2 + 3^2 + 4^2 +.... Up to 2n terms.
Find the number of permutations of four letters from the word MATHEMATICS.
The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other number is
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