TITLE: What cubic problems did Tartaglia and Fior pose to each other?
QUESTION [10 upvotes]: I have been researching the history of finding roots to general polynomials and the story of solving for the roots of cubic polynomials ($ax^3+bx^2+cx+d=0$) lead me to find several sources describing a "mathematical duel" between the Italian mathematicians Tartaglia (Nicolo de Brescia) and Antonio Fior of 16th Century A.D.. 
Many sources, like this one and this one, all speak of Tartaglia and Fior posing 30 problems to each other before they competed in a public math contest and how Tartaglia was able to find a general solution to each of Fior's problems just before the contest.
My question, which might also be appropriate for the Math History SE (in Commit stage of Area 51 right now) is:
What were the 30 problems that Fior posed to Tartaglia and what are the 30 problems that Tartaglia posed to Fior? I am personally interested in seeing them and trying my hand at solving them based on what I've learned recently about cubic polynomials. I feel that the 60 collective problems are not only of historical interest in themselves but also I think they must have been designed challenging enough for each man to try to stump the other. I think those particular 60 problems would be much more instructive in their solution than just an arbitrary assortment of cubic polynomial problems given on worksheets across the Internet and particular math books. 
Any information on where to find these 60 problems or a partial list of them is very appreciated!

REPLY [5 votes]: The first fifteen of Fior's questions, a summary of the remaining fifteen, and four of Tartaglia's questions are in the article:
Martin Nordgaard, Sidelights on the Cardan-Tartaglia Controversy, 1937-8.
Here are a few more of Fior's:

(5) Two men were in partnership, and between them they invested a capital of 900 ducats, the capital of the first being the cube root of the capital of the second.  What is the part of each?
(7) Find a number which added to twice its cube root gives 13.
(8) Find a number which added to three times its cube root gives 15.
(9) Find a number which added to four times its cube root gives 17.
(12) A jeweler buys a diamond and a ruby for 2000 ducats. The price of the ruby is the cube root of the price of the diamond. Required the value of the ruby.
(13) A Jew furnishes capital on the condition that at the end of the year he shall have as interest the cube root of the capital.
At the end of the year the Jew receives 800 ducats, as capital and interest. What is the capital?
(14) Divide thirteen into two parts such that the product of these parts shall equal the square of the smallest part multiplied by the same.


Here are the only four of Tartaglia's that Nordgaard knows of:

Find an irrational quantity such that when it is multiplied by its square root augmented by 4, the result is a given rational number.
Find an irrational quantity such that when it is multiplied by its square root diminished by 30, the result is a given rational number.
Find an irrational quantity such that  when to it is added four times its cube root, the result is thirteen.
Find an irrational quantity such that when from it one subtracts its cube root, the result is 10.