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117
830
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16
16
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int32
23
902
"A list of positive integers has the following properties:\n\n\\bullet The sum of the items in the l(...TRUNCATED)
["<think>\nI need to find the sum of the squares of all items in a list of positive integers with gi(...TRUNCATED)
236
"Alice and Bob play the following game. A stack of $n$ tokens lies before them. The players take tur(...TRUNCATED)
["<think>\nAlice and Bob are playing a game with a stack of n tokens. They take turns removing eithe(...TRUNCATED)
809
"Alice chooses a set $A$ of positive integers. Then Bob lists all finite nonempty sets $B$ of positi(...TRUNCATED)
["<think>\nAlice picks a set \\( A \\) of positive integers. Bob then lists all finite nonempty sets(...TRUNCATED)
55
"Among the 900 residents of Aimeville, there are 195 who own a diamond ring, 367 who own a set of go(...TRUNCATED)
["<think>\nI need to find out how many residents own all four items: a diamond ring, golf clubs, a g(...TRUNCATED)
73
"Consider the paths of length $16$ that follow the lines from the lower left corner to the upper rig(...TRUNCATED)
["<think>\nThe problem asks for the number of paths of length 16 from the lower left to the upper ri(...TRUNCATED)
294
"Define $f(x)=|| x|-\\tfrac{1}{2}|$ and $g(x)=|| x|-\\tfrac{1}{4}|$. Find the number of intersection(...TRUNCATED)
["<think>\nI need to find the number of intersections between two graphs: one is y in terms of x, an(...TRUNCATED)
385
"Each vertex of a regular octagon is independently colored either red or blue with equal probability(...TRUNCATED)
["<think>\nThe problem involves a regular octagon with vertices colored red or blue randomly, each w(...TRUNCATED)
371
"Eight circles of radius $34$ are sequentially tangent, and two of the circles are tangent to $AB$ a(...TRUNCATED)
["<think>\nThe problem states that eight circles of radius 34 are sequentially tangent, and two of t(...TRUNCATED)
197
"Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When sh(...TRUNCATED)
["<think>\nAya walks a 9-kilometer distance and stops at a coffee shop. When she walks at speed s km(...TRUNCATED)
204
"Find the largest possible real part of \\[(75+117i)z + \\frac{96+144i}{z}\\] where $z$ is a complex(...TRUNCATED)
["<think>\nI need to find the largest possible real part of \\((75 + 117i)z + \\frac{96 + 144i}{z}\\(...TRUNCATED)
540
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Responses of DeepSeek-R1-0528 for AIME 2024 (original dataset: Maxwell-Jia/AIME_2024). Generation temperature is set to 1.0 and maximum token is set to 16384.

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