Click here to win prizes by solving the puzzle Advent calendar.
Click here to win prizes by solving the puzzle Advent calendar.



18 December

There are 6 terms in the expansion of \((x+y+z)^2\):
Today's number is number of terms in the expansion of \((x+y+z)^{16}\).

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Tags: algebra

10 December

The equation \(x^2+1512x+414720=0\) has two integer solutions.
Today's number is the number of (positive or negative) integers \(b\) such that \(x^2+bx+414720=0\) has two integer solutions.

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Powerful quadratics

Source: nrich
Find all real solutions to

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Two tangents

Source: Reddit
Find a line which is tangent to the curve \(y=x^4-4x^3\) at 2 points.

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A bit of Spanish

Each of the letters P, O, C, M, U and H represent a different digit from 0 to 9.
Which digit does each letter represent?

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Algebraic fractions

Given that
what is the value of

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Tags: algebra

Four integers

\(a\), \(b\), \(c\) and \(d\) are four positive (and non-zero) integers.
What is the value of \(a+b+c+d\)?

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Times roamin'

What is the product of this series?

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Tags: algebra


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