question string	final_answer string	difficulty float64	topic string
Given a triangle $ \triangle ABC $ with $ \angle A = 20^\circ $, and points $ N $ and $ M $ such that $ AN = MC $ and $ NB = AM $, determine the measure of $ \angle X $.	30^\circ	-1	Mathematics -> Geometry -> Plane Geometry -> Angles
In a game, there are three piles of balls, each initially containing an equal number of balls. On each turn, you select one pile and transfer a ball to another pile. The score for this move is calculated as the number of balls in the source pile minus the number of balls in the target pile (excluding the ball being tra...	\infty	-1	Mathematics -> Discrete Mathematics -> Combinatorics
In a truth table with $n^2$ entries, an algorithm takes two rows, $a$ and $b$, and performs $s$ logical operations, resulting in Boolean values. If each iteration returns $c$ TRUE values, where $c > b - a + 1$, determine the number of additional operations required before selecting a new pair of rows.	c - (b - a + 1)	-1	Mathematics -> Discrete Mathematics -> Logic
Determine the number of different functions $ f(x) $ that satisfy the given conditions and also have the property that $ f(0) = 1 $.	1	-1	Mathematics -> Algebra -> Abstract Algebra -> Other

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question string	final_answer string	difficulty float64	topic string
Given a triangle \( \triangle ABC \) with \( \angle A = 20^\circ \), and points \( N \) and \( M \) such that \( AN = MC \) and \( NB = AM \), determine the measure of \( \angle X \).	30^\circ	-1	Mathematics -> Geometry -> Plane Geometry -> Angles
In a game, there are three piles of balls, each initially containing an equal number of balls. On each turn, you select one pile and transfer a ball to another pile. The score for this move is calculated as the number of balls in the source pile minus the number of balls in the target pile (excluding the ball being tra...	\infty	-1	Mathematics -> Discrete Mathematics -> Combinatorics
In a truth table with $n^2$ entries, an algorithm takes two rows, $a$ and $b$, and performs $s$ logical operations, resulting in Boolean values. If each iteration returns $c$ TRUE values, where $c > b - a + 1$, determine the number of additional operations required before selecting a new pair of rows.	c - (b - a + 1)	-1	Mathematics -> Discrete Mathematics -> Logic
Determine the number of different functions \( f(x) \) that satisfy the given conditions and also have the property that \( f(0) = 1 \).	1	-1	Mathematics -> Algebra -> Abstract Algebra -> Other