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bigmac
Username
bigmac
Score
103
Stats
Questions
21
Answers
0
25 Questions
0 Answers
0
37
1
+103
help
How many positive integers n are there such that n^2 + 96 is a perfect square?
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bigmac
Dec 15, 2019
0
37
2
+103
help
The polynomial q(q + 1)(q + 2)(q + 3) + 1 is the square of what polynomial?
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bigmac
Dec 15, 2019
0
29
0
+103
help
Determine all values of k such that kx^2 + 2x^2 - 3xkx + k = 0 has two equal roots.
bigmac
Dec 15, 2019
0
35
1
+103
help
Find the number of real solutions to
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bigmac
Dec 15, 2019
0
46
1
+103
help
In an isosceles triangle, the length of the base is 30, and the length of an altitude to one of the legs is 24. Find the length of one of the legs.
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bigmac
Dec 14, 2019
0
45
1
+103
help
A circle is inscribed in a right triangle the lengths of whose legs are 30 and 40. Find the length of the line segment whose endpoints are the vertex of the right angle and the point of tangency, on the hypotenuse, of the inscribed circle.
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bigmac
Dec 14, 2019
0
64
2
+103
help
Two distinct numbers are randomly selected from among the first 64 positive integral perfect squares. Find the probability that these two numbers are both cubes of integers.
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bigmac
Dec 11, 2019
0
58
1
+103
help
The equation x^3 - x^2 + mx + 1 = 0 has two equal real roots, distinct from the third root. Find the value of m.
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bigmac
Dec 11, 2019
+1
58
1
+103
help
If xy = 24, xz = 30, and yz = 15, then find x + y + z.
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bigmac
Dec 10, 2019
0
50
3
+103
help
If 9/10 < a/b < 10/11, where a and b are positive integers, then find the smallest possible value of b.
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bigmac
Dec 10, 2019
0
42
0
+103
help
The polynomials x^3 + ax^2 + 9x + 6 and x^3 + bx^2 + 6x + 3 have a common quadratic factor over the set of polynomials with integral coefficients. Find the ordered pair of integers (a,b).
bigmac
Dec 10, 2019
+1
55
2
+103
help
Determine the value of x.
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bigmac
Dec 10, 2019
0
53
1
+103
help
If x and y are integers, what is the smallest possible positive value of 30x+18y?
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bigmac
Dec 10, 2019
0
66
1
+103
help
Determine the number of regular n-gons with integer interior angles in degrees.
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bigmac
Dec 10, 2019
0
46
2
+103
help
Find the number of arrangements of the letters DESCARTES if no two vowels are together.
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bigmac
Dec 9, 2019
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