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 Puzzle #55 Zeroes may occur in this puzzle, but not as the first digit of a number. AcrossA: V down + Y across. D: D across is a multiple of Y down. I: I across equals the first digit of I across multiplied with W down. J: J across is a multiple of V across. K: a prime number. L: a multiple of U across. M: A' across minus D down minus the digit sum of S down. N: the first digit of N across multiplied with the reverse of R across. P: has the same digit sum as W across. Q: a prime number. R: a prime number. T: has the same digit sum as W down. U: a multiple of the digit sum of B down. V: divide Y across by the sum of the digit sum of A down and the digit sum of T across, and the result is a divisor of V across. W: a multiple of the average of the digit sums of K across and T across. X: a palindrome and prime number. Y: a multiple of the sum of A down's and T across's digit sums. Z: a cubic number. A': D down + M across + the digit sum of S down. DownA: a multiple of F down. B: I across + 1. C: the digit sum of C down equals Y down. D: the reverse of S down multiplied with V down. E: the fourth power of K across. F: to get F down, multiply G down with T across and subtract this result from E down. G: The digit sum of G down is a square number. H: has the same digit sum as S down. J: a palindrome. L: a palindrome. M: a prime number. O: a multiple of the digit sum of G down. R: a multiple of R across. S: a prime number. U: the reverse of the sum of V down and S down. V: multiply all digits of S down. Take this digit product, and again, multiply all of its digits. The result is a divisor of V down. W: the digit product of Z across. X: the reverse of X across. Y: a palindrome. Z: a square number. View answer. Used with permission. © Rainer Typke [www.crossnumber.com].