Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). d. There exists an odd integer, the sum of its digits are even and the product of its digits are odd. e. There exists a, b, c € Z such that 2|a, 4a and a = b² - c².

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