It is known that x, y, Z, a are natural numbers, and X

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• 1. Given that x, y and Z are natural numbers and x < y, when x + y = 1999 and z-x = 2000, what is the largest value of X + y + Z?
• 2. X multiplied by a natural number minus x is equal to a natural number For example, multiply X by 3 minus x = 8, find x, write out the specific solution of the equation and give an explanation,
• 3. In 8 parts x (x is a natural number), if it is a band fraction, the minimum energy of X is (), if it is equal to 0, X can only be ()
• 4. If 6 / 2 of X-2 is a natural number, then the value of natural number x satisfying the condition is_____ individual
• 5. What natural numbers can be filled in 5 / 12 * 3 / 4 > () 5 / 12
• 6. If 2 times of a natural number plus 12 is equal to K times of the sum of 3 times of the natural number, then the value of K is A. 3 or 4 B. 4 or 5 C. 3 or 5 D. 3 or 4 or 5
• 7. It is known that the solution of the equation 2aX = [a + 3] x + 12 about X is a natural number, and the value of integer a is determined
• 8. A three digit number can be the sum of 11 consecutive natural numbers, 12 consecutive natural numbers or 13 consecutive natural numbers, What's the three digit number
• 9. If the natural number x
• 10. X is equal to seven x (XY is a non-zero natural number), then the greatest common factor of X and Y is the least common multiple?
• 11. We know that x, y, Z and a are natural numbers, And x < y < Z, and 1 / x + 1 / y + 1 / z = a, find the value of X, y, Z, a
• 12. Given that x, y, Z, a are natural numbers, and X 〈 y 〈 Z, find 1 / x + 1 / y + 1 / z = a, find the value of X, y, Z
• 13. Let FX = (1 + x) & #710; m + (1 + x) & #710; N, where the coefficient of X is 19 (Mn is a natural number) 1) Find the minimum value of the coefficient of X & # in the expansion of FX 2) Take the minimum value of vxishu in FC expansion and find the coefficient of X & # 710; 7 in FX expansion
• 14. If the sum of coefficients of the expansion of (3 + x) ^ n is 512 times that of the expansion of (1 + y) ^ m, what is the relationship between N and M? The answer is 2n-m = 9,
• 15. It is known that the coefficient with X term in the expansion of F (x) = (1 + 2x) ∧ m + (1 + 4x) ∧ n (n, m ∈ natural number) is 36, and the minimum coefficient with X ∧ 2 term in the expansion is obtained!
• 16. If n is any natural number, then n ^ 3-N must have a divisor of?
• 17. The natural number n has 20 positive divisors, and the minimum value of n is______ ．
• 18. A natural number n has nine divisors, while n-1 has eight divisors. What are the smallest and the second smallest of the natural numbers satisfying the conditions?
• 19. The natural number n has 20 positive divisors, and the minimum value of n is______ ．
• 20. What is the minimum natural number with exactly 12 different divisors Urgent!