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+ Hello,
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+
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+ I am [redacted] of Art of Problem Solving, and we were recently made aware of the MATH dataset (https://huggingface.co/datasets/hendrycks/competition_math) on your platform containing AoPS Incorporated's intellectual property and being shared without our knowledge or permission.
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+
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+ We were alerted that the MATH dataset had high overlap/similarity to the problems on our adaptive learning platform, Alcumus, and so have investigated further to find that it looks to be entirely pirated from that system on our website.
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+
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+ We've ran a script comparing problems from that dataset to those in Alcumus, and found that over 10,000 of the 12,500 problems have a similarity score of 95 or above with basic text matching to current problems in our system:
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+ image.png
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+ After further manual investigation, we believe the additional ~2,000 problems with a similarity score less than 95 may also contain problems from our system, but would need to improve the basic approach to text similarity matching we were doing (e.g. allowing for slightly differing whitespace, comparing to earlier versions of these problems as-of the time the dataset was pirated).
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+
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+ The problems in our Alcumus system come from a few different sources - some come from math competitions (e.g. MATHCOUNTS, AMC) with permission to use in our system while others are written directly by our curriculum development team. All problems, regardless of source, have solutions that are entirely proprietary and written by our curriculum development team. The MATH dataset contains both proprietary problems written by our team for usage in our Alcumus learning platform, as well as all of our proprietary solutions written by our team for usage in our Alcumus learning platform.
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+
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+ Here are a few select examples of matching problems:
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+
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+ This is from 991.json in precalculus in the MATH dataset:
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+ {
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+ "problem": "Let $\\mathbf{v}$ and $\\mathbf{w}$ be vectors such that $\\|\\mathbf{v}\\| = 3$ and $\\|\\mathbf{w}\\| = 4.$ Find the minimum value of $\\mathbf{v} \\cdot \\mathbf{w}.$",
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+ "level": "Level 3",
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+ "type": "Precalculus",
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+ "solution": "If $\\theta$ is the angle between $\\mathbf{v}$ and $\\mathbf{w},$ then\n\\[\\mathbf{v} \\cdot \\mathbf{w} = \\|\\mathbf{v}\\| \\|\\mathbf{w}\\| \\cos \\theta = 12 \\cos \\theta.\\]This is minimized when $\\cos \\theta = -1,$ which gives us a minimum value of $\\boxed{-12}.$"
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+ }
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+
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+ A problem from our Alcumus system, written by AoPS curriculum developer Naoki Sato on April 24, 2019 has the following text and solution:
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+
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+ Text:
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+ Let $\mathbf{v}$ and $\mathbf{w}$ be vectors such that $\|\mathbf{v}\| = 3$ and $\|\mathbf{w}\| = 4.$ Find the minimum value of $\mathbf{v} \cdot \mathbf{w}.$
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+
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+ Solution:
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+ If $\theta$ is the angle between $\mathbf{v}$ and $\mathbf{w},$ then
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+ \[\mathbf{v} \cdot \mathbf{w} = \|\mathbf{v}\| \|\mathbf{w}\| \cos \theta = 12 \cos \theta.\]
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+ This is minimized when $\cos \theta = -1,$ which gives us a minimum value of $\boxed{-12}.$
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+
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+ Here's problem 765.json in geometry in the MATH dataset:
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+ {
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+ "problem": "To be able to walk to the center $C$ of a circular fountain, a repair crew places a 16-foot plank from $A$ to $B$ and then a 10-foot plank from $D$ to $C$, where $D$ is the midpoint of $\\overline{AB}$ . What is the area of the circular base of the fountain? Express your answer in terms of $\\pi$. [asy]\n\nsize(250); import olympiad; import geometry; defaultpen(linewidth(0.8));\n\ndraw((-10,0)..(-5,0.8)..(0,1)..(5,0.8)..(10,0)^^(10,0)..(5,-0.8)..(0,-1)..(-5,-0.8)..(-10,0));\n\ndraw((-10,0)--(-10,-2)^^(10,-2)..(5,-2.8)..(0,-3)..(-5,-2.8)..(-10,-2)^^(10,-2)--(10,0));\n\ndraw(origin..(-1,5)..(-4,8));\n\ndraw(origin..(1,5)..(4,8));\n\ndraw(origin..(-0.5,5)..(-2,8));\n\ndraw(origin..(0.5,5)..(2,8));\n\ndraw(origin..(-0.2,6)..(-1,10));\n\ndraw(origin..(0.2,6)..(1,10));\n\nlabel(\"Side View\",(0,-2),3*S);\n\npair C = (25,8);\n\ndraw(Circle(C,10));\n\npair A = C + 10*dir(80);\n\npair B = C + 10*dir(20);\n\npair D = midpoint(A--B);\n\ndraw(A--B);\n\ndraw(C--D);\n\ndot(Label(\"$A$\",align=SW),A);\n\ndot(Label(\"$B$\",align=SE),B);\n\ndot(Label(\"$C$\",align=S),C);\n\ndot(Label(\"$D$\",align=S),D);\n\nfor(int i = 0; i < 5; ++i){\n\ndraw(C--(C + 5*dir(72*i)));\n\n}\n\nlabel(\"Top View\",(25,-2),3*S);\n[/asy]",
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+ "level": "Level 4",
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+ "type": "Geometry",
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+ "solution": "Since triangle $ABC$ is isosceles (both $AC$ and $BC$ are radii), $CD$ is perpendicular to $AB$. We can use the Pythagorean Theorem to find the radius: $(16/2)^2 + 10^2 = R^2$, so $R^2 = 164$. The area is $\\pi R^2 = \\boxed{164 \\pi \\mbox{ square feet}}$."
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+ }
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+
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+ A problem in our Alcumus system, created June 29th 2007, with problem coming from the 2005 MATHCOUNTS Chapter competition and solution written by AoPS curriculum developer Naoki Sako is as follows:
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+
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+ Text:
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+ To be able to walk to the center $C$ of a circular fountain, a repair crew places a $16$-foot plank from $A$ to $B$ and then a $10$-foot plank from $D$ to $C$, where $D$ is the midpoint of $\overline{AB}$ . What is the area of the circular base of the fountain? Express your answer in terms of $\pi$. [asy]
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+
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+ size(250); import olympiad; import geometry; defaultpen(linewidth(0.8));
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+
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+ draw((-10,0)..(-5,0.8)..(0,1)..(5,0.8)..(10,0)^^(10,0)..(5,-0.8)..(0,-1)..(-5,-0.8)..(-10,0));
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+
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+ draw((-10,0)--(-10,-2)^^(10,-2)..(5,-2.8)..(0,-3)..(-5,-2.8)..(-10,-2)^^(10,-2)--(10,0));
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+
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+ draw(origin..(-1,5)..(-4,8));
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+
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+ draw(origin..(1,5)..(4,8));
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+
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+ draw(origin..(-0.5,5)..(-2,8));
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+
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+ draw(origin..(0.5,5)..(2,8));
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+
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+ draw(origin..(-0.2,6)..(-1,10));
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+
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+ draw(origin..(0.2,6)..(1,10));
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+
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+ label("Side View",(0,-2),3*S);
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+
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+ pair C = (25,8);
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+
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+ draw(Circle(C,10));
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+
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+ pair A = C + 10*dir(80);
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+
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+ pair B = C + 10*dir(20);
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+
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+ pair D = midpoint(A--B);
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+
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+ draw(A--B);
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+
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+ draw(C--D);
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+
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+ dot(Label("$A$",align=SW),A);
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+
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+ dot(Label("$B$",align=SE),B);
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+
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+ dot(Label("$C$",align=S),C);
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+
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+ dot(Label("$D$",align=S),D);
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+
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+ for(int i = 0; i < 5; ++i){
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+
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+ draw(C--(C + 5*dir(72*i)));
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+
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+ }
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+
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+ label("Top View",(25,-2),3*S);
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+ [/asy]
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+
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+ Solution:
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+ Since triangle $ABC$ is isosceles (both $AC$ and $BC$ are radii), $CD$ is perpendicular to $AB$. We can use the Pythagorean Theorem to find the radius: $(16/2)^2 + 10^2 = R^2$, so $R^2 = 164$. The area is $\pi R^2 = \boxed{164 \pi \mbox{ square feet}}$.
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+
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+
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+ We'd be happy to provide further information if needed to verify and complete this takedown request. The dataset we'd like to request taking down is https://huggingface.co/datasets/hendrycks/competition_math.
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+
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+ We'd also like to request that the following datasets based on that dataset or including that dataset are removed:
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+ https://huggingface.co/datasets/qwedsacf/competition_math
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+ https://huggingface.co/datasets/jeggers/competition_math
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+ https://huggingface.co/datasets/Na0s/sft-ready-hendrycks-competition_math
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+ https://huggingface.co/datasets/dim/competition_math_selected
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+ https://huggingface.co/datasets/mesolitica/translated-competition_math
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+ https://huggingface.co/datasets/SuperSecureHuman/competition_math_hf_dataset
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+ https://huggingface.co/datasets/simonveitner/competition_math_dspy
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+ https://huggingface.co/datasets/chiayewken/competition_math
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+ https://huggingface.co/datasets/Karayel-DDI/Turkce-hendrycks_competition_math
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+ https://huggingface.co/datasets/gallifantjack/hendrycks_competition_math_N_A
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+ https://huggingface.co/datasets/EleutherAI/hendrycks_math/tree/main https://huggingface.co/datasets/EleutherAI/hendrycks_math https://huggingface.co/datasets/Na0s/sft-ready-hendrycks-competition_math https://huggingface.co/datasets/brando/hendrycks_math https://huggingface.co/datasets/baber/hendrycks_math https://huggingface.co/datasets/ck46/hendrycks_math https://huggingface.co/datasets/JeremiahZ/hendrycks_math_merged https://huggingface.co/datasets/Asap7772/hendrycks_math_with_answers https://huggingface.co/datasets/hendrydong/hendrycks_math_prompt https://huggingface.co/datasets/Karayel-DDI/Turkce-hendrycks_competition_math https://huggingface.co/datasets/Asap7772/hendrycks_math_with_answers_sft https://huggingface.co/datasets/Asap7772/hendrycks_math_sft_formatted https://huggingface.co/datasets/Asap7772/bofn-samples-hendrycks-math https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part3-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part7-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part6-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part2-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part1-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part4-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part5-of-8 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-part0-of-8 https://huggingface.co/datasets/Asap7772/bofn-samples-hendrycks-math-refactored https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-refactored https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-synthetic-rollouts https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-revision https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-part4-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-part2-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-part1-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-part3-of-4
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+ https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-refactored https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-synthetic-rollouts-parallel https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-parallel https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-newline-part1-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-part1-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-part4-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-part2-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-part3-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-parallel https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sftnoic-parallel-filtered https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-parallel-filtered https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-revisions-filtered https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-refactored https://huggingface.co/datasets/Asap7772/hendrycks-math-greedy-part1-of-1 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-regen-rerun-part1-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-part1-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-part3-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-part4-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-part2-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-newline-bofn-part1-of-2 https://huggingface.co/datasets/Asap7772/hendrycks-math-newline-bofn-part2-of-2 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-rerun-part4-of-4 https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-refactored https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-parallel https://huggingface.co/datasets/Asap7772/hendrycks-math-mc-llama-sft-intermediate-parallel-filtered https://huggingface.co/datasets/nlile/hendrycks-MATH-benchmark
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+ https://huggingface.co/datasets/Asap7772/hendrycks-math-onesamp-revision https://huggingface.co/datasets/Asap7772/hendrycks-math-onesamp-revision-overlap https://huggingface.co/datasets/Asap7772/hendrycks-math-onesamp-revision-correct-overlap https://huggingface.co/datasets/justus27/math-hendrycks-groundtruth https://huggingface.co/datasets/gallifantjack/hendrycks_competition_math_N_A https://huggingface.co/datasets/hendrydong/hendrycks_math
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+ https://huggingface.co/datasets/lighteval/MATH-Hard
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+ https://huggingface.co/datasets/lighteval/MATH
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+ https://huggingface.co/datasets/Maxwell-Jia/MATH
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+ https://huggingface.co/datasets/meta-math/MetaMathQA
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+ https://huggingface.co/datasets/TIGER-Lab/MathInstruct
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+ https://huggingface.co/datasets/RLAIF/math
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+ https://huggingface.co/datasets/gohsyi/math
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+ https://huggingface.co/datasets/fdyrd/MATH
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+ https://huggingface.co/datasets/RyanYr/MATH-prm800k
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+ https://huggingface.co/datasets/pensieves/math
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+ https://huggingface.co/datasets/zwhe99/MATH
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+
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+ The above were mostly found by searching for similarly named datasets or datasets citing the MATH dataset in their readme, and confirmed to contain data proprietary to AoPS Incorporated. If there are ways in your system to connect the MATH dataset to further datasets branched off of it that may be named differently and not cite MATH in their README, we'd like to request that those are removed as well.
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+
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+ Please let me know what further information you need from us to process this request.
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+
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+ Thanks,