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AIME2026-I-01
aime2026
Patrick started walking at a constant rate along a straight road from school to the park. One hour after Patrick left, Tanya started running along the same road from school to the park. One hour after Tanya left, Jose started bicycling along the same road from school to the park. Tanya ran at a constant rate of $2$ mil...
algebra
AIME I
United States
2,026
2026-02
compute_and_prove
number
Equations
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-01:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-02
aime2026
Find the number of positive integer palindromes written in base $10$ with no zero digits, and whose digits add up to $13$. For example, $42124$ has these properties. Recall that a palindrome is a number whose representation reads the same from left to right as from right to left.
combinatorics
AIME I
United States
2,026
2026-02
compute_and_prove
number
Enum. combinatorics
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-02:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-03
aime2026
A hemisphere with radius $200$ sits on top of a horizontal circular disk with radius $200,$ and the hemisphere and disk have the same center. Let $\mathcal T$ be the region of points P in the disk such that a sphere of radius $42$ can be placed on top of the disk at $P$ and lie completely inside the hemisphere. The are...
geometry
AIME I
United States
2,026
2026-02
compute_and_prove
number
Solid geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-03:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-04
aime2026
Find the number of integers less than or equal to 100 that are equal to $a+b+ab$ for some choice of distinct positive integers a and b.
number_theory
AIME I
United States
2,026
2026-02
compute_and_prove
number
Factorization
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-04:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-05
aime2026
A plane contains points $A$ and $B$ with $AB = 1$. Point $A$ is rotated in the plane counterclockwise through an acute angle $\theta$ around point $B$ to point $A^\prime$. Then $B$ is rotated in the plane clockwise through angle $\theta$ around point $A^\prime$ to point $B^\prime$. Suppose that $AB^\prime = \frac{4}{3}...
geometry
AIME I
United States
2,026
2026-02
compute_and_prove
number
Trigonometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-05:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-06
aime2026
A real number $x$ satisfies $\sqrt[20]{x^{\log_{2026}x}}=26x$. What is the number of positive divisors of the product of all possible positive values of $x$?
algebra
AIME I
United States
2,026
2026-02
compute_and_prove
number
Logarithms
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-06:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-07
aime2026
Find the number of functions $\pi$ mapping the set $A =\{1,2,3,4,5,6\}$ onto $A$ such that for every $a \in A,$ \[ \pi(\pi(\pi(\pi(\pi(\pi(a)))))) = a. \]
combinatorics
AIME I
United States
2,026
2026-02
compute_and_prove
number
Permutations
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-07:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-08
aime2026
Let $N$ be the number of positive integer divisors of $17017^{17}$ that leave a remainder of $5$ when divided by $12$. Find the remainder when $N$ is divided by $1000$.
number_theory
AIME I
United States
2,026
2026-02
compute_and_prove
number
Divisibility
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-08:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-09
aime2026
Joanne has a blank fair six-sided die and six stickers each displaying a different integer from 1 to 6. Joanne rolls the die and then places the sticker labeled 1 on the top face of the die. She then rolls the die again, places the sticker labeled 2 on the top face, and continues this process to place the rest of the s...
combinatorics
AIME I
United States
2,026
2026-02
compute_and_prove
number
Probability
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-09:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-10
aime2026
Let $\triangle ABC$ have side lengths $AB = 13, BC = 14,$ and $CA = 15.$ Triangle $\triangle A'B'C'$ is obtained by rotating $\triangle ABC$ about its circumcenter so that $\overline{A'C'}$ is perpendicular to $\overline{BC},$ with $A'$ and $B$ not on the same side of line $B'C'.$ Find the integer closest to the area o...
geometry
AIME I
United States
2,026
2026-02
compute_and_prove
number
Analytic geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-10:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-11
aime2026
The integers from $1$ to $64$ are placed in some order into an $8 \times 8$ grid of cells with one number in each cell. Let $a_{i,j}$ be the number placed in the cell in row $i$ and column $j,$ and let $M$ be the sum of the absolute differences between adjacent cells. That is, \[ M = \sum^8_{i=1} \sum^7_{j=1} (|a_{i,j+...
combinatorics
AIME I
United States
2,026
2026-02
compute_and_prove
number
Optimization
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-11:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-12
aime2026
Triangle $\triangle ABC$ lies in plane $\mathcal P$ with $AB = 6, AC = 4,$ and $\angle BAC = 90^\circ.$ Let $D$ be the reflection across $\overline{BC}$ of the centroid of $\triangle ABC. {}$ Four spheres, all on the same side of $\mathcal P,$ have radii $1, 2, 3,$ and $r$ and are tangent to $\mathcal P$ at points $A, ...
geometry
AIME I
United States
2,026
2026-02
compute_and_prove
number
Solid geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-12:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-13
aime2026
For each nonnegative integer $r$ less than $502,$ define \[ S_r=\sum_{m\ge 0}\dbinom{10000}{502m+r}, \] where $\binom{10000}{n}$ is defined to be $0$ when $n>10000.$ That is, $S_r$ is the sum of all binomial coefficients of the form $\binom{10000}{k}$ for which $0\le k\le 10000$ and $k-r$ is a multiple of $502.$ Find t...
number_theory
AIME I
United States
2,026
2026-02
compute_and_prove
number
Binomial coefficients
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-13:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-14
aime2026
In an equiangular pentagon, the sum of the squares of the side lengths equals $308,$ and the sum of the squares of the diagonal lengths equals $800.$ The square of the perimeter of the pentagon can be expressed as $m \sqrt n,$ where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. ...
geometry
AIME I
United States
2,026
2026-02
compute_and_prove
number
Euclidean geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-14:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-I-15
aime2026
Let $a, b,$ and $n$ be positive integers with both $a$ and $b$ greater than or equal to $2$ and less than or equal to $2n$. Define an $a \times b$ cell loop in a $2n \times 2n$ grid of cells to be the $2a + 2b - 4$ cells that surround an $(a - 2) \times (b - 2)$ (possibly empty) rectangle of cells in the grid. For exam...
combinatorics
AIME I
United States
2,026
2026-02
compute_and_prove
number
Enum. combinatorics
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-I-15:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-ste...
AIME2026-II-01
aime2026
Find the sum of the $10$th terms of all arithmetic sequences of integers that have first term equal to $4$ and include both $24$ and $34$ as terms.
number_theory
AIME II
United States
2,026
2026-02
compute_and_prove
number
Arithmetic sequences
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-01:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-02
aime2026
The figure below shows a grid of $10$ squares in a row. Each square has a diagonal connecting its lower left vertex to its upper right vertex. A bug moves along the line segments from vertex to vertex, never traversing the same segment twice and never moving from right to left along a horizontal or diagonal segment. Le...
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Paths
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-02:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-03
aime2026
Let $ABCDE$ be a nonconvex pentagon with internal angles $\angle A = \angle E = 90^\circ$ and $\angle B = \angle D = 45^\circ.$ Suppose that $DE < AB, AE = 20, BC = 14\sqrt2,$ and points $B,C,$ and $D$ lie on the same side of line $AE.$ Suppose further that $AB$ is an integer with $AB < 2026$ and the area of pentagon $...
geometry
AIME II
United States
2,026
2026-02
compute_and_prove
number
Analytic geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-03:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-04
aime2026
For each positive integer $n$ let $f(n)$ be the value of the base-ten numeral $n$ viewed in base $b$, where $b$ is the least integer greater than the greatest digit in $n$. For example, if $n=72$, then $b=8$, and $72$ as a numeral in base $8$ equals $7\cdot 8+2=58$; therefore $f(72)=58$. Find the number of positive int...
number_theory
AIME II
United States
2,026
2026-02
compute_and_prove
number
Representation
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-04:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-05
aime2026
An urn contains $n$ marbles. Each marble is either red or blue, and there are at least $7$ marbles of each color. When $7$ marbles are drawn randomly from the urn without replacement, the probability that exactly $4$ of them are red equals the probability that exactly $5$ of them are red. Find the sum of the five least...
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Probability
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-05:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-06
aime2026
Find the sum of all real numbers $r$ such that there is at least one point where the circle with radius $r$ centered at $(4, 39)$ is tangent to the parabola with equation $2y = x^2 - 8x + 12.$
geometry
AIME II
United States
2,026
2026-02
compute_and_prove
number
Analytic geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-06:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-07
aime2026
A standard fair six-sided die is rolled repeatedly. Each time the die reads 1 or 2, Alice gets a coin; each time it reads 3 or 4, Bob gets a coin; and each time it reads 5 or 6, Carol gets a coin. The probability that Alice and Bob each receive at least two coins before Carol receives any coins can be written as $\tfra...
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Probability
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-07:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-08
aime2026
Isosceles triangle $\triangle ABC$ has $AB = BC.$ Let $I$ be the incenter of $\triangle ABC.$ The perimeters of $\triangle ABC$ and $\triangle AIC$ are in the ratio $125:6,$ and all the sides of both triangles have integer lengths. Find the minimum possible value of $AB.$
geometry
AIME II
United States
2,026
2026-02
compute_and_prove
number
Euclidean geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-08:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-09
aime2026
Let $S$ denote the value of the infinite sum \[ \frac{1}{9} + \frac{1}{99} + \frac{1}{999} + \frac{1}{9999} + \cdots \] Find the remainder when the greatest integer less than or equal to $10^{100} S$ is divided by $1000.$
number_theory
AIME II
United States
2,026
2026-02
compute_and_prove
number
Series
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-09:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-10
aime2026
Let $\triangle ABC$ be a triangle with $D$ on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Let $\omega$ be the circle that passes through $A$ and is tangent to segment $\overline{BC}$ at $D.$ Let $E \neq A$ and $F \neq A$ be the intersections of $\omega$ with segments $\overline{AB}$ and $\overline{A...
geometry
AIME II
United States
2,026
2026-02
compute_and_prove
number
Euclidean geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-10:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-11
aime2026
Find the greatest integer $n$ such that the cubic polynomial \[ x^{3} - \displaystyle\frac{n}{6}x^{2} + (n - 11)x - 400 \] has roots $\alpha^{2}$, $\beta^{2}$, and $\gamma^{2}$, where $\alpha$, $\beta$, and $\gamma$ are complex numbers, and there are exactly seven different possible values for $\alpha + \beta + \gamma$...
algebra
AIME II
United States
2,026
2026-02
compute_and_prove
number
Polynomial
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-11:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-12
aime2026
Consider a tetrahedron with two isosceles triangle faces with side lengths $5\sqrt{10}, 5\sqrt{10},$ and $10$ and two isosceles triangle faces with side lengths $5\sqrt{10}, 5\sqrt{10},$ and $18.$ The four vertices of the tetrahedron lie on a sphere with center $S,$ and the four faces of the tetrahedron are tangent to ...
geometry
AIME II
United States
2,026
2026-02
compute_and_prove
number
Solid geometry
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-12:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-13
aime2026
Call finite sets of integers $S$ and $T$ cousins if - $S$ and $T$ have the same number of elements, - $S$ and $T$ are disjoint, and - the elements of $S$ can be paired with the elements of $T$ so that the elements in each pair differ by exactly $1$. For example, $\{1,2,5\}$ and $\{0,3,4\}$ are cousins. Suppose that the...
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Enum. combinatorics
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-13:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-14
aime2026
For integers $a$ and $b,$ let $a \circ b = a - b$ if $a$ is odd and $b$ is even, and $a+b$ otherwise. Find the number of sequences $a_1, a_2, a_3, \ldots, a_n$ of positive integers such that \[ a_1 + a_2 + a_3 + \cdots + a_n = 12 \quad \text{and} \quad a_1 \circ a_2 \circ a_3 \circ \cdots \circ a_n = 0 \] where the ope...
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Enum. combinatorics
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-14:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...
AIME2026-II-15
aime2026
Find the number of ordered 7-tuples $(a_1, a_2, a_3, \ldots, a_7)$ having the following properties: - $a_k \in \{1,2,3\}$ for all $k.$ - $a_1+a_2+a_3+a_4+a_5+a_6+a_7$ is a multiple of $3.$ - $a_1a_2 a_4 + a_2a_3a_5 + a_3a_4 a_6 + a_4 a_5 a_7 + a_5 a_6 a_1 + a_6 a_7 a_2 + a_7 a_1 a_3$ is a multiple of $3.$
combinatorics
AIME II
United States
2,026
2026-02
compute_and_prove
number
Graph theory
https://huggingface.co/datasets/math-ai/aime26/blob/79037aebdb6580008fb960d17cb21fd3099083e3/aime2026.jsonl
[ { "solution_id": "AIME2026-II-15:reference", "role": "reference", "source_type": "ai_generated", "source_url": null, "generated_by": "GPT-6 Astra", "note": "Generated and model-reviewed by GPT-6 Astra; answer matches the imported key. Strategy sketch approved by the dataset curator. Three-st...

AIME 2026 with Oracle Strategy Sketches

Thirty problems from the American Invitational Mathematics Examination (AIME) 2026 I and II, with GPT-6 Astra solutions, curator-approved strategy sketches, and three load-bearing solution steps. Records use the same field names and nested solution format as AOBench and its IMO-ProofBench subset.

Configurations and loading

Configuration File Problems
aime2026 (default) aime2026.jsonl 30
aime2026_i aime2026_i.jsonl 15
aime2026_ii aime2026_ii.jsonl 15

All configurations use a test split. The default configuration concatenates AIME I and II in exam/problem order, preserving stable IDs such as AIME2026-I-01.

from datasets import load_dataset

problems = load_dataset("kumarjau1998/AIME2026", "aime2026", split="test")
problem = problems[0]
reference = problem["solutions"][0]
statement = problem["statement"]
solution = reference["solution"]
sketch = reference["sketch"]
steps = reference["steps"]

Record format

Field Meaning
problem_id Stable exam/problem identifier.
dataset aime2026.
statement Imported problem statement, with documented corrections to transcription errors.
domain algebra, combinatorics, geometry, or number_theory.
source AIME I or AIME II.
url Pinned upstream problem-file URL.
country, year, date United States, 2026, 2026-02.
task compute_and_prove: compute the requested answer and justify it in the provided reference solution.
answer_type number; AIME answers are integers from 0 through 999.
subtopic One primary mathematical subtopic assigned by the curator.
solutions List containing one AI-generated reference solution.

The term reference identifies the route used to prepare the oracle sketch; it does not mean an official contest solution. Numerical answers occur in the full solutions. There is no additional top-level answer field, matching AOBench's schema.

Solution field Meaning
solution_id Stable problem-prefixed route ID.
role reference.
source_type ai_generated.
source_url null: solutions were generated, not imported from a published proof.
generated_by GPT-6 Astra, using model ID gpt-6-astra.
solution Complete generated mathematical solution.
sketch One strategy sketch of 18–24 whitespace-delimited words.
steps Three ordered load-bearing steps, each 17–20 whitespace-delimited words.
note Generation and review provenance.

Unlike the non-geometry AOBench/IMO-ProofBench collections, this release includes all AIME 2026 problems, including geometry. Its domains are:

Domain Problems
algebra 3
combinatorics 11
geometry 10
number_theory 6

Generation and review

  1. GPT-6 Astra generated complete solutions from the statements alone using high reasoning effort through a Codex-subscription gateway.
  2. Each final answer was checked against the imported answer key. A fresh GPT-6 Astra request reviewed each complete solution.
  3. The reviewed route was compressed into an 18–24-word sketch, matching the mathematical prose/notation style used for the study's IMO sketches.
  4. A fresh GPT-6 Astra request reviewed each sketch for route fidelity, mathematical usefulness, and answer leakage. Rejected sketches were revised and reviewed again before inclusion.
  5. The dataset curator reviewed and approved all thirty sketches for publication.
  6. Three-step outlines were extracted from the checked solutions and reviewed in fresh GPT-6 Astra requests.

Full solutions and outlines have model-assisted review, using the same model family as the generator. Correlated model errors remain possible. Curator approval applies to the sketches; no independent expert-panel review of the full solutions or outlines is claimed. Agreement with the answer key alone does not certify every proof step. Provenance is recorded in provenance.json.

Intended use and limitations

Use for no-sketch versus oracle-sketch comparisons, strategy-conditioned execution, and test-time compute experiments. Keep full solutions and source metadata outside the solver's accessible inputs when measuring sketch assistance. The three-step outlines are a richer assistance condition and should be reported separately. Freeze the strategy annotations before comparing target-model outcomes.

AIME 2026 is public and may occur in model training data. This dataset is not a clean unseen-problem generalization test. Upstream statements are reproduced as text, with source normalization documented in provenance.json. AIME I #10 restores primes on the rotated segment, and I #13 corrects the summation index and includes zero among the residue indices. Private answer keys were normalized to integers from 0 through 999.

Attribution and licensing

Problems originate from the Mathematical Association of America's AIME 2026 examinations. Statements and answer keys were obtained from Math-AI's AIME26 dataset, at revision 79037aebdb6580008fb960d17cb21fd3099083e3. That upstream dataset declares the Apache 2.0 license. Its attribution and applicable third-party terms are retained; the upstream metadata is not a claim that this curator owns the contest statements.

The new solution annotations and compilation are released under CC BY 4.0, matching the annotation license used for AOBench. See provenance.json for source URLs, checksums, normalization, and review details.

For the associated discovery/execution study, see the AOBench dataset card. When using this release, cite this dataset repository and credit MAA and Math-AI for the original problems and upstream transcription.

MathArena statement alignment

Released statements and diagram source are aligned with pinned MathArena datasets. AIME2026 I #10 retains the corrected rotated segment A'C'; I #13 retains nonnegative r and the summation index m. Original generation requests are preserved: the solutions and sketches were generated before this wording update. No solutions, sketches, or outlines were regenerated. Source revisions and per-problem changes are recorded in provenance.json.

MathArena statement transcriptions are licensed CC BY-NC-SA 4.0: https://creativecommons.org/licenses/by-nc-sa/4.0/ Attribution: MathArena, https://huggingface.co/MathArena. The aligned release is distributed under CC BY-NC-SA 4.0. Original annotation licensing and source attributions below remain recorded for provenance.

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