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runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/aime_eval.jsonl

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+{"id": "aime_eval_01", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 0, "prompt": "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 $2$ miles per hour faster than Patrick walked, Jose bicycled at a constant rate of $7$ miles per hour faster than Tanya ran, and all three arrived at the park at the same time. The distance from the school to the park is $\\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $2$ miles per hour faster than Patrick walked, Jose bicycled at a constant rate of $7$ miles per hour faster than Tanya ran, and all three arrived at the park at the same time. The distance from the school to the park is $\\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.", "answer": "277"}
+{"id": "aime_eval_02", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 1, "prompt": "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.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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.", "answer": "62"}
+{"id": "aime_eval_03", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 2, "prompt": "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 area of $\\mathcal T$ divided by the area of the disk is $\\tfrac pq,$ where $p$ and $q$ are relatively prime positive integers. Find $p+q.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 area of $\\mathcal T$ divided by the area of the disk is $\\tfrac pq,$ where $p$ and $q$ are relatively prime positive integers. Find $p+q.$", "answer": "79"}
+{"id": "aime_eval_04", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 3, "prompt": "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.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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.", "answer": "70"}
+{"id": "aime_eval_05", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 4, "prompt": "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 $AB^\\prime = \\frac{4}{3}$. The value of $\\cos \\theta$ can be written as $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $AB^\\prime = \\frac{4}{3}$. The value of $\\cos \\theta$ can be written as $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$.", "answer": "65"}
+{"id": "aime_eval_06", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 5, "prompt": "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 $x$?\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $x$?", "answer": "441"}
+{"id": "aime_eval_07", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 6, "prompt": "\nFind the number of functions $\\pi$ mapping the set $A =\\{1,2,3,4,5,6\\}$ onto $A$ such that for every $a \\in A,$\n\\[\n\\pi(\\pi(\\pi(\\pi(\\pi(\\pi(a)))))) = a.\n\\]\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "\nFind the number of functions $\\pi$ mapping the set $A =\\{1,2,3,4,5,6\\}$ onto $A$ such that for every $a \\in A,$\n\\[\n\\pi(\\pi(\\pi(\\pi(\\pi(\\pi(a)))))) = a.\n\\]", "answer": "396"}
+{"id": "aime_eval_08", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 7, "prompt": "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 $1000$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $1000$.", "answer": "244"}
+{"id": "aime_eval_09", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 8, "prompt": "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 stickers in order. If the die ever lands with a sticker already on its top face, the new sticker is placed to cover the old sticker. Let $p$ be the conditional probability that at the end of the process exactly one face has been left blank, given that all the even-numbered stickers are visible on faces of the die. Then $p$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 stickers in order. If the die ever lands with a sticker already on its top face, the new sticker is placed to cover the old sticker. Let $p$ be the conditional probability that at the end of the process exactly one face has been left blank, given that all the even-numbered stickers are visible on faces of the die. Then $p$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$", "answer": "29"}
+{"id": "aime_eval_10", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 9, "prompt": "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 ${}\\overline{AC}$ is perpendicular $\\overline{BC},$ with $A'$ and $B$ not on the same side of line $B'C'.$ Find the integer closest to the area of hexagon $AA'CC'BB'.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 ${}\\overline{AC}$ is perpendicular $\\overline{BC},$ with $A'$ and $B$ not on the same side of line $B'C'.$ Find the integer closest to the area of hexagon $AA'CC'BB'.$", "answer": "156"}
+{"id": "aime_eval_11", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 10, "prompt": "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,\n\\[\nM = \\sum^8_{i=1} \\sum^7_{j=1} (|a_{i,j+1} - a_{i,j}| + |a_{j+1,i} - a_{j,i}|).\n\\]\nFind the remainder when the maximum possible value of $M$ is divided by $1000.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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,\n\\[\nM = \\sum^8_{i=1} \\sum^7_{j=1} (|a_{i,j+1} - a_{i,j}| + |a_{j+1,i} - a_{j,i}|).\n\\]\nFind the remainder when the maximum possible value of $M$ is divided by $1000.$", "answer": "896"}
+{"id": "aime_eval_12", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 11, "prompt": "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 $A, B, C,$ and $D,$ respectively. The four spheres are also each tangent to a second plane $\\mathcal T$ and are all on the same side of $\\mathcal T.$ The value of $r$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $A, B, C,$ and $D,$ respectively. The four spheres are also each tangent to a second plane $\\mathcal T$ and are all on the same side of $\\mathcal T.$ The value of $r$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$", "answer": "161"}
+{"id": "aime_eval_13", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 12, "prompt": "For each positive integer $r$ less than $502,$ define\n\\[\nS_r=\\sum_{m\\ge 0}\\dbinom{10000}{502n+r},\n\\]\nwhere $\\binom{10000}{n}$ 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 the number of integers in the list $S_0,S_1,\\dots,S_{501}$ that are multiples of the prime number $503.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "For each positive integer $r$ less than $502,$ define\n\\[\nS_r=\\sum_{m\\ge 0}\\dbinom{10000}{502n+r},\n\\]\nwhere $\\binom{10000}{n}$ 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 the number of integers in the list $S_0,S_1,\\dots,S_{501}$ that are multiples of the prime number $503.$", "answer": "39"}
+{"id": "aime_eval_14", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 13, "prompt": "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. Find $m + n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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. Find $m + n.$", "answer": "681"}
+{"id": "aime_eval_15", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 14, "prompt": "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 example, the following diagram shows a way to partition a $6 \\times 6$ grid of cells into $4$ cell loops.\n\n| P   P P   P | Y   Y |\n| P | R R | P | Y | Y |\n| P | R R | P | Y | Y |\n| P   P P   P | Y | Y |\n| G   G G   G | Y | Y |\n| G   G G   G | Y   Y |\n\nFind the number of ways to partition a $10 \\times 10$ grid of cells into $5$ cell loops so that every cell of the grid belongs to exactly one cell loop.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 example, the following diagram shows a way to partition a $6 \\times 6$ grid of cells into $4$ cell loops.\n\n| P   P P   P | Y   Y |\n| P | R R | P | Y | Y |\n| P | R R | P | Y | Y |\n| P   P P   P | Y | Y |\n| G   G G   G | Y | Y |\n| G   G G   G | Y   Y |\n\nFind the number of ways to partition a $10 \\times 10$ grid of cells into $5$ cell loops so that every cell of the grid belongs to exactly one cell loop.", "answer": "83"}
+{"id": "aime_eval_16", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 15, "prompt": "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.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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.", "answer": "178"}
+{"id": "aime_eval_17", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 16, "prompt": "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. Let $N$ be the number of paths the bug can take from the lower left corner ($A$) to the upper right corner ($B$). One such path from $A$ to $B$ is shown by the thick line segments in the figure. Find $\\sqrt{N}$.\n\n[asy]\nsize(12cm);\ndraw((0, 0)--(0, 1));\nfor (int i = 0; i <= 9; i += 1)\n{\ndraw((i, 1)--(i + 1, 1)--(i + 1, 0)--(i, 0)--(i + 1, 1));\n}\ndraw((0, 0)--(0, 1)--(2, 1)--(2, 0)--(3, 1)--(3, 0)--(4, 1)--(4, 0)--(5, 0)--(5, 1)--(6, 1)--(6, 0)--(7, 1)--(8, 1)--(8, 0)--(10, 0)--(10, 1), red + linewidth(2));\nlabel(\"$A$\", (0, 0), dir(180));\nlabel(\"$B$\", (10, 1), dir(0));\n[/asy]\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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. Let $N$ be the number of paths the bug can take from the lower left corner ($A$) to the upper right corner ($B$). One such path from $A$ to $B$ is shown by the thick line segments in the figure. Find $\\sqrt{N}$.\n\n[asy]\nsize(12cm);\ndraw((0, 0)--(0, 1));\nfor (int i = 0; i <= 9; i += 1)\n{\ndraw((i, 1)--(i + 1, 1)--(i + 1, 0)--(i, 0)--(i + 1, 1));\n}\ndraw((0, 0)--(0, 1)--(2, 1)--(2, 0)--(3, 1)--(3, 0)--(4, 1)--(4, 0)--(5, 0)--(5, 1)--(6, 1)--(6, 0)--(7, 1)--(8, 1)--(8, 0)--(10, 0)--(10, 1), red + linewidth(2));\nlabel(\"$A$\", (0, 0), dir(180));\nlabel(\"$B$\", (10, 1), dir(0));\n[/asy]", "answer": "243"}
+{"id": "aime_eval_18", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 17, "prompt": "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 $ABCDE$ is an integer multiple of $16.$ Find the number of possible values of $AB.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $ABCDE$ is an integer multiple of $16.$ Find the number of possible values of $AB.$", "answer": "503"}
+{"id": "aime_eval_19", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 18, "prompt": "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 integers $n$ less than $1000$ such that $f(n)=n$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 integers $n$ less than $1000$ such that $f(n)=n$.", "answer": "279"}
+{"id": "aime_eval_20", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 19, "prompt": "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 values of $n$ for which this is possible.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 values of $n$ for which this is possible.", "answer": "190"}
+{"id": "aime_eval_21", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 20, "prompt": "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 $2y = x^2 - 8x + 12.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $2y = x^2 - 8x + 12.$", "answer": "50"}
+{"id": "aime_eval_22", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 21, "prompt": "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 $\\tfrac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $100m+n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $\\tfrac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $100m+n.$", "answer": "754"}
+{"id": "aime_eval_23", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 22, "prompt": "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 $AB.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $AB.$", "answer": "245"}
+{"id": "aime_eval_24", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 23, "prompt": "Let $S$ denote the value of the infinite sum\n\\[\n\\frac{1}{9} + \\frac{1}{99} + \\frac{1}{999} + \\frac{1}{9999}  + \\cdots\n\\]\nFind the remainder when the greatest integer less than or equal to $10^{100} S$ is divided by $1000.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "Let $S$ denote the value of the infinite sum\n\\[\n\\frac{1}{9} + \\frac{1}{99} + \\frac{1}{999} + \\frac{1}{9999}  + \\cdots\n\\]\nFind the remainder when the greatest integer less than or equal to $10^{100} S$ is divided by $1000.$", "answer": "669"}
+{"id": "aime_eval_25", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 24, "prompt": "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 $\\overline{AC},$ respectively. Suppose that $AB = 200, AC = 225,$ and all of $AE, AF, BD,$ and $CD$ are positive integers. Find the sum of all possible values of $BC.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $\\overline{AC},$ respectively. Suppose that $AB = 200, AC = 225,$ and all of $AE, AF, BD,$ and $CD$ are positive integers. Find the sum of all possible values of $BC.$", "answer": "850"}
+{"id": "aime_eval_26", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 25, "prompt": "Find the greatest integer $n$ such that the cubic polynomial\n\\[\nx^{3} - \\displaystyle\\frac{n}{6}x^{2} + (n - 11)x - 400\n\\]\nhas 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 $\\alpha + \\beta + \\gamma$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "Find the greatest integer $n$ such that the cubic polynomial\n\\[\nx^{3} - \\displaystyle\\frac{n}{6}x^{2} + (n - 11)x - 400\n\\]\nhas 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 $\\alpha + \\beta + \\gamma$.", "answer": "132"}
+{"id": "aime_eval_27", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 26, "prompt": "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 a sphere with center $R.$ The distance $RS$ can be written as $\\tfrac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 a sphere with center $R.$ The distance $RS$ can be written as $\\tfrac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$", "answer": "223"}
+{"id": "aime_eval_28", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 27, "prompt": "Call finite sets of integers $S$ and $T$ cousins if\n- $S$ and $T$ have the same number of elements,\n- $S$ and $T$ are disjoint, and\n- the elements of $S$ can be paired with the elements of $T$ so that the elements in each pair differ by exactly $1$.\nFor example, $\\{1,2,5\\}$ and $\\{0,3,4\\}$ are cousins. Suppose that the set $S$ has exactly $4040$ cousins. Find the least number of elements the set $S$ can have.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "Call finite sets of integers $S$ and $T$ cousins if\n- $S$ and $T$ have the same number of elements,\n- $S$ and $T$ are disjoint, and\n- the elements of $S$ can be paired with the elements of $T$ so that the elements in each pair differ by exactly $1$.\nFor example, $\\{1,2,5\\}$ and $\\{0,3,4\\}$ are cousins. Suppose that the set $S$ has exactly $4040$ cousins. Find the least number of elements the set $S$ can have.", "answer": "107"}
+{"id": "aime_eval_29", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 28, "prompt": "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\n\\[\na_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\n\\]\nwhere the operations are performed from left to right; that is, $a_1 \\circ a_2 \\circ a_3$ means $(a_1 \\circ a_2) \\circ a_3.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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\n\\[\na_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\n\\]\nwhere the operations are performed from left to right; that is, $a_1 \\circ a_2 \\circ a_3$ means $(a_1 \\circ a_2) \\circ a_3.$", "answer": "157"}
+{"id": "aime_eval_30", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 29, "prompt": "Find the number of ordered 7-tuples $(a_1, a_2, a_3, \\ldots, a_7)$ having the following properties:\n- $a_k \\in \\{1,2,3\\}$ for all $k.$\n- $a_1+a_2+a_3+a_4+a_5+a_6+a_7$ is a multiple of $3.$\n- $a_1a_2 a_4 + a_2a_3a_5 + a_3a_4 a_6 + a_4 a_5 a_7 + a_5 a_6 a_1 + a_6 a_7 a_2 + a_7 a_1 a_3$ is a multiple of $3.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "Find the number of ordered 7-tuples $(a_1, a_2, a_3, \\ldots, a_7)$ having the following properties:\n- $a_k \\in \\{1,2,3\\}$ for all $k.$\n- $a_1+a_2+a_3+a_4+a_5+a_6+a_7$ is a multiple of $3.$\n- $a_1a_2 a_4 + a_2a_3a_5 + a_3a_4 a_6 + a_4 a_5 a_7 + a_5 a_6 a_1 + a_6 a_7 a_2 + a_7 a_1 a_3$ is a multiple of $3.$", "answer": "393"}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/aime_train_inputs.jsonl

@@ -0,0 +1,15 @@
+{"id": "aime_train_01", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 0, "prompt": "Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.", "question": "Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$."}
+{"id": "aime_train_02", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 1, "prompt": "Find the sum of all positive integers $ n $ such that $ n + 2 $ divides the product $ 3(n + 3)(n^2 + 9) $.", "question": "Find the sum of all positive integers $ n $ such that $ n + 2 $ divides the product $ 3(n + 3)(n^2 + 9) $."}
+{"id": "aime_train_03", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 3, "prompt": "Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $100$, inclusive, such that $12x^{2}-xy-6y^{2}=0$.", "question": "Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $100$, inclusive, such that $12x^{2}-xy-6y^{2}=0$."}
+{"id": "aime_train_04", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 14, "prompt": "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^6$ and $a^3+b^3+c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by $1000$.", "question": "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^6$ and $a^3+b^3+c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by $1000$."}
+{"id": "aime_train_05", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 10, "prompt": "Let $ S $ be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal lengths so that each vertex in $ S $ is an endpoint of exactly one of the 12 segments.", "question": "Let $ S $ be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal lengths so that each vertex in $ S $ is an endpoint of exactly one of the 12 segments."}
+{"id": "aime_train_06", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 4, "prompt": "There are $8!=40320$ eight-digit positive integers that use each of the digits $1,2,3,4,5,6,7,8$ exactly once. Let $N$ be the number of these integers that are divisible by 22. Find the difference between $N$ and 2025.", "question": "There are $8!=40320$ eight-digit positive integers that use each of the digits $1,2,3,4,5,6,7,8$ exactly once. Let $N$ be the number of these integers that are divisible by 22. Find the difference between $N$ and 2025."}
+{"id": "aime_train_07", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 8, "prompt": "There are $ n $ values of $ x $ in the interval $ 0 < x < 2\\pi $ where $ f(x) = \\sin(7\\pi \\cdot \\sin(5x)) = 0 $. For $ t $ of these $ n $ values of $ x $, the graph of $ y = f(x) $ is tangent to the $ x $-axis. Find $ n + t $.", "question": "There are $ n $ values of $ x $ in the interval $ 0 < x < 2\\pi $ where $ f(x) = \\sin(7\\pi \\cdot \\sin(5x)) = 0 $. For $ t $ of these $ n $ values of $ x $, the graph of $ y = f(x) $ is tangent to the $ x $-axis. Find $ n + t $."}
+{"id": "aime_train_08", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 2, "prompt": "Four unit squares form a $2 \\times 2$ grid. Each of the 12 unit line segments forming the sides of the squares is colored either red or blue in such a way that each unit square has 2 red sides and 2 blue sides. Find the number of such colorings.", "question": "Four unit squares form a $2 \\times 2$ grid. Each of the 12 unit line segments forming the sides of the squares is colored either red or blue in such a way that each unit square has 2 red sides and 2 blue sides. Find the number of such colorings."}
+{"id": "aime_train_09", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 5, "prompt": "An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \\neq s$. Find $r^{2}+s^{2}$.", "question": "An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \\neq s$. Find $r^{2}+s^{2}$."}
+{"id": "aime_train_10", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 9, "prompt": "Sixteen chairs are arranged in a row. Eight people each select a chair in which to sit so that no person sits next to two other people. Let $ N $ be the number of subsets of 16 chairs that could be selected. Find the remainder when $ N $ is divided by 1000.", "question": "Sixteen chairs are arranged in a row. Eight people each select a chair in which to sit so that no person sits next to two other people. Let $ N $ be the number of subsets of 16 chairs that could be selected. Find the remainder when $ N $ is divided by 1000."}
+{"id": "aime_train_11", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 0, "prompt": "Six points $ A, B, C, D, E, $ and $ F $ lie in a straight line in that order. Suppose that $ G $ is a point not on the line and that $ AC = 26 $, $ BD = 22 $, $ CE = 31 $, $ DF = 33 $, $ AF = 73 $, $ CG = 40 $, and $ DG = 30 $. Find the area of $ \\triangle BGE $.", "question": "Six points $ A, B, C, D, E, $ and $ F $ lie in a straight line in that order. Suppose that $ G $ is a point not on the line and that $ AC = 26 $, $ BD = 22 $, $ CE = 31 $, $ DF = 33 $, $ AF = 73 $, $ CG = 40 $, and $ DG = 30 $. Find the area of $ \\triangle BGE $."}
+{"id": "aime_train_12", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 7, "prompt": "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one complex solution $z$. The sum of all possible values of $k$ can be written as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$. Here $i=\\sqrt{-1}$.", "question": "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one complex solution $z$. The sum of all possible values of $k$ can be written as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$. Here $i=\\sqrt{-1}$."}
+{"id": "aime_train_13", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 14, "prompt": "There are exactly three positive real numbers $ k $ such that the function\n$ f(x) = \\frac{(x - 18)(x - 72)(x - 98)(x - k)}{x} $\ndefined over the positive real numbers achieves its minimum value at exactly two positive real numbers $ x $. Find the sum of these three values of $ k $.", "question": "There are exactly three positive real numbers $ k $ such that the function\n$ f(x) = \\frac{(x - 18)(x - 72)(x - 98)(x - k)}{x} $\ndefined over the positive real numbers achieves its minimum value at exactly two positive real numbers $ x $. Find the sum of these three values of $ k $."}
+{"id": "aime_train_14", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 13, "prompt": "Let $ \\triangle ABC $ be a right triangle with $ \\angle A = 90^\\circ $ and $ BC = 38 $. There exist points $ K $ and $ L $ inside the triangle such that $ AK = AL = BK = CL = KL = 14. $ The area of the quadrilateral $ BKLC $ can be expressed as $ n \\sqrt{3} $ for some positive integer $ n $. Find $ n $.", "question": "Let $ \\triangle ABC $ be a right triangle with $ \\angle A = 90^\\circ $ and $ BC = 38 $. There exist points $ K $ and $ L $ inside the triangle such that $ AK = AL = BK = CL = KL = 14. $ The area of the quadrilateral $ BKLC $ can be expressed as $ n \\sqrt{3} $ for some positive integer $ n $. Find $ n $."}
+{"id": "aime_train_15", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 6, "prompt": "Let $ A $ be the set of positive integer divisors of 2025. Let $ B $ be a randomly selected subset of $ A $. The probability that $ B $ is a nonempty set with the property that the least common multiple of its elements is 2025 is $ \\frac{m}{n} $, where $ m $ and $ n $ are relatively prime positive integers. Find $ m + n $.", "question": "Let $ A $ be the set of positive integer divisors of 2025. Let $ B $ be a randomly selected subset of $ A $. The probability that $ B $ is a nonempty set with the property that the least common multiple of its elements is 2025 is $ \\frac{m}{n} $, where $ m $ and $ n $ are relatively prime positive integers. Find $ m + n $."}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/aime_train_with_gold.jsonl

@@ -0,0 +1,15 @@
+{"id": "aime_train_01", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 0, "prompt": "Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.", "question": "Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.", "answer": "70"}
+{"id": "aime_train_02", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 1, "prompt": "Find the sum of all positive integers $ n $ such that $ n + 2 $ divides the product $ 3(n + 3)(n^2 + 9) $.", "question": "Find the sum of all positive integers $ n $ such that $ n + 2 $ divides the product $ 3(n + 3)(n^2 + 9) $.", "answer": "49"}
+{"id": "aime_train_03", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 3, "prompt": "Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $100$, inclusive, such that $12x^{2}-xy-6y^{2}=0$.", "question": "Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $100$, inclusive, such that $12x^{2}-xy-6y^{2}=0$.", "answer": "117"}
+{"id": "aime_train_04", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 14, "prompt": "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^6$ and $a^3+b^3+c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by $1000$.", "question": "Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^6$ and $a^3+b^3+c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by $1000$.", "answer": "735"}
+{"id": "aime_train_05", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 10, "prompt": "Let $ S $ be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal lengths so that each vertex in $ S $ is an endpoint of exactly one of the 12 segments.", "question": "Let $ S $ be the set of vertices of a regular 24-gon. Find the number of ways to draw 12 segments of equal lengths so that each vertex in $ S $ is an endpoint of exactly one of the 12 segments.", "answer": "113"}
+{"id": "aime_train_06", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 4, "prompt": "There are $8!=40320$ eight-digit positive integers that use each of the digits $1,2,3,4,5,6,7,8$ exactly once. Let $N$ be the number of these integers that are divisible by 22. Find the difference between $N$ and 2025.", "question": "There are $8!=40320$ eight-digit positive integers that use each of the digits $1,2,3,4,5,6,7,8$ exactly once. Let $N$ be the number of these integers that are divisible by 22. Find the difference between $N$ and 2025.", "answer": "279"}
+{"id": "aime_train_07", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 8, "prompt": "There are $ n $ values of $ x $ in the interval $ 0 < x < 2\\pi $ where $ f(x) = \\sin(7\\pi \\cdot \\sin(5x)) = 0 $. For $ t $ of these $ n $ values of $ x $, the graph of $ y = f(x) $ is tangent to the $ x $-axis. Find $ n + t $.", "question": "There are $ n $ values of $ x $ in the interval $ 0 < x < 2\\pi $ where $ f(x) = \\sin(7\\pi \\cdot \\sin(5x)) = 0 $. For $ t $ of these $ n $ values of $ x $, the graph of $ y = f(x) $ is tangent to the $ x $-axis. Find $ n + t $.", "answer": "149"}
+{"id": "aime_train_08", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 2, "prompt": "Four unit squares form a $2 \\times 2$ grid. Each of the 12 unit line segments forming the sides of the squares is colored either red or blue in such a way that each unit square has 2 red sides and 2 blue sides. Find the number of such colorings.", "question": "Four unit squares form a $2 \\times 2$ grid. Each of the 12 unit line segments forming the sides of the squares is colored either red or blue in such a way that each unit square has 2 red sides and 2 blue sides. Find the number of such colorings.", "answer": "82"}
+{"id": "aime_train_09", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 5, "prompt": "An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \\neq s$. Find $r^{2}+s^{2}$.", "question": "An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \\neq s$. Find $r^{2}+s^{2}$.", "answer": "504"}
+{"id": "aime_train_10", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 9, "prompt": "Sixteen chairs are arranged in a row. Eight people each select a chair in which to sit so that no person sits next to two other people. Let $ N $ be the number of subsets of 16 chairs that could be selected. Find the remainder when $ N $ is divided by 1000.", "question": "Sixteen chairs are arranged in a row. Eight people each select a chair in which to sit so that no person sits next to two other people. Let $ N $ be the number of subsets of 16 chairs that could be selected. Find the remainder when $ N $ is divided by 1000.", "answer": "907"}
+{"id": "aime_train_11", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 0, "prompt": "Six points $ A, B, C, D, E, $ and $ F $ lie in a straight line in that order. Suppose that $ G $ is a point not on the line and that $ AC = 26 $, $ BD = 22 $, $ CE = 31 $, $ DF = 33 $, $ AF = 73 $, $ CG = 40 $, and $ DG = 30 $. Find the area of $ \\triangle BGE $.", "question": "Six points $ A, B, C, D, E, $ and $ F $ lie in a straight line in that order. Suppose that $ G $ is a point not on the line and that $ AC = 26 $, $ BD = 22 $, $ CE = 31 $, $ DF = 33 $, $ AF = 73 $, $ CG = 40 $, and $ DG = 30 $. Find the area of $ \\triangle BGE $.", "answer": "468"}
+{"id": "aime_train_12", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-I", "source_split": "test", "source_index": 7, "prompt": "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one complex solution $z$. The sum of all possible values of $k$ can be written as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$. Here $i=\\sqrt{-1}$.", "question": "Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one complex solution $z$. The sum of all possible values of $k$ can be written as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$. Here $i=\\sqrt{-1}$.", "answer": "77"}
+{"id": "aime_train_13", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 14, "prompt": "There are exactly three positive real numbers $ k $ such that the function\n$ f(x) = \\frac{(x - 18)(x - 72)(x - 98)(x - k)}{x} $\ndefined over the positive real numbers achieves its minimum value at exactly two positive real numbers $ x $. Find the sum of these three values of $ k $.", "question": "There are exactly three positive real numbers $ k $ such that the function\n$ f(x) = \\frac{(x - 18)(x - 72)(x - 98)(x - k)}{x} $\ndefined over the positive real numbers achieves its minimum value at exactly two positive real numbers $ x $. Find the sum of these three values of $ k $.", "answer": "240"}
+{"id": "aime_train_14", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 13, "prompt": "Let $ \\triangle ABC $ be a right triangle with $ \\angle A = 90^\\circ $ and $ BC = 38 $. There exist points $ K $ and $ L $ inside the triangle such that $ AK = AL = BK = CL = KL = 14. $ The area of the quadrilateral $ BKLC $ can be expressed as $ n \\sqrt{3} $ for some positive integer $ n $. Find $ n $.", "question": "Let $ \\triangle ABC $ be a right triangle with $ \\angle A = 90^\\circ $ and $ BC = 38 $. There exist points $ K $ and $ L $ inside the triangle such that $ AK = AL = BK = CL = KL = 14. $ The area of the quadrilateral $ BKLC $ can be expressed as $ n \\sqrt{3} $ for some positive integer $ n $. Find $ n $.", "answer": "104"}
+{"id": "aime_train_15", "benchmark": "aime", "source_repo": "opencompass/AIME2025", "source_config": "AIME2025-II", "source_split": "test", "source_index": 6, "prompt": "Let $ A $ be the set of positive integer divisors of 2025. Let $ B $ be a randomly selected subset of $ A $. The probability that $ B $ is a nonempty set with the property that the least common multiple of its elements is 2025 is $ \\frac{m}{n} $, where $ m $ and $ n $ are relatively prime positive integers. Find $ m + n $.", "question": "Let $ A $ be the set of positive integer divisors of 2025. Let $ B $ be a randomly selected subset of $ A $. The probability that $ B $ is a nonempty set with the property that the least common multiple of its elements is 2025 is $ \\frac{m}{n} $, where $ m $ and $ n $ are relatively prime positive integers. Find $ m + n $.", "answer": "237"}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/dataset_summary.json

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+  "aime_train_ids": [
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+    "aime_train_02",
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+    "aime_train_07",
+    "aime_train_08",
+    "aime_train_09",
+    "aime_train_10",
+    "aime_train_11",
+    "aime_train_12",
+    "aime_train_13",
+    "aime_train_14",
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+  ],
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+    "aime_eval_11",
+    "aime_eval_12",
+    "aime_eval_13",
+    "aime_eval_14",
+    "aime_eval_15",
+    "aime_eval_16",
+    "aime_eval_17",
+    "aime_eval_18",
+    "aime_eval_19",
+    "aime_eval_20",
+    "aime_eval_21",
+    "aime_eval_22",
+    "aime_eval_23",
+    "aime_eval_24",
+    "aime_eval_25",
+    "aime_eval_26",
+    "aime_eval_27",
+    "aime_eval_28",
+    "aime_eval_29",
+    "aime_eval_30"
+  ],
+  "pubmedqa_train_ids": [
+    "pubmedqa_train_01",
+    "pubmedqa_train_02",
+    "pubmedqa_train_03",
+    "pubmedqa_train_04",
+    "pubmedqa_train_05",
+    "pubmedqa_train_06",
+    "pubmedqa_train_07",
+    "pubmedqa_train_08",
+    "pubmedqa_train_09",
+    "pubmedqa_train_10",
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+    "pubmedqa_train_12",
+    "pubmedqa_train_13",
+    "pubmedqa_train_14",
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+  ],
+  "pubmedqa_eval_ids": [
+    "pubmedqa_eval_01",
+    "pubmedqa_eval_02",
+    "pubmedqa_eval_03",
+    "pubmedqa_eval_04",
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+    "pubmedqa_eval_27",
+    "pubmedqa_eval_28",
+    "pubmedqa_eval_29",
+    "pubmedqa_eval_30"
+  ]
+}

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runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/pubmedqa_train_inputs.jsonl

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+{"id": "pubmedqa_train_01", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 16361634, "prompt": "Question: Women with synchronous primary cancers of the endometrium and ovary: do they have Lynch syndrome?\n\nContext:\nPURPOSE: Lynch syndrome (hereditary nonpolyposis colorectal cancer; HNPCC) is an autosomal-dominant cancer predisposition syndrome that increases risk for multiple cancers, including colon, endometrial, and ovarian cancer. Revised Bethesda Criteria recommend that patients with two HNPCC-associated cancers undergo molecular evaluation to determine whether they have a mismatch repair (MMR) defect associated with HNPCC. The purpose of our study was to determine the likelihood of MMR defects (MSH2, MSH6, MLH1) in women with synchronous endometrial and ovarian cancer.\nPATIENTS AND METHODS: Between 1989 and 2004, 102 women with synchronous endometrial and ovarian cancers were identified; 59 patients had tumor blocks available for analysis. Patients were divided into risk groups based on family history: high (met Amsterdam criteria), medium (personal history or first-degree relative with an HNPCC-associated cancer), and low (all others). Protein expression for MSH2, MSH6, and MLH1 was evaluated by immunohistochemistry. Microsatellite instability and MLH1 promoter methylation analyses were performed on a subset of cases.\nRESULTS: Median age was 50 years. Two patients met Amsterdam criteria for HNPCC. Five additional patients, all medium-risk, had molecular findings consistent with a germline mutation of either MSH2 or MLH1. None of the low-risk patients had molecular results consistent with a germline mutation.", "question": "Women with synchronous primary cancers of the endometrium and ovary: do they have Lynch syndrome?", "context": "PURPOSE: Lynch syndrome (hereditary nonpolyposis colorectal cancer; HNPCC) is an autosomal-dominant cancer predisposition syndrome that increases risk for multiple cancers, including colon, endometrial, and ovarian cancer. Revised Bethesda Criteria recommend that patients with two HNPCC-associated cancers undergo molecular evaluation to determine whether they have a mismatch repair (MMR) defect associated with HNPCC. The purpose of our study was to determine the likelihood of MMR defects (MSH2, MSH6, MLH1) in women with synchronous endometrial and ovarian cancer.\nPATIENTS AND METHODS: Between 1989 and 2004, 102 women with synchronous endometrial and ovarian cancers were identified; 59 patients had tumor blocks available for analysis. Patients were divided into risk groups based on family history: high (met Amsterdam criteria), medium (personal history or first-degree relative with an HNPCC-associated cancer), and low (all others). Protein expression for MSH2, MSH6, and MLH1 was evaluated by immunohistochemistry. Microsatellite instability and MLH1 promoter methylation analyses were performed on a subset of cases.\nRESULTS: Median age was 50 years. Two patients met Amsterdam criteria for HNPCC. Five additional patients, all medium-risk, had molecular findings consistent with a germline mutation of either MSH2 or MLH1. None of the low-risk patients had molecular results consistent with a germline mutation.", "long_answer": "Overall, 7% of women in our cohort met either clinical or molecular criteria for Lynch syndrome. All of these women had a prior history or a first-degree relative with an HNPCC-associated cancer. Limiting genetic evaluation to women with synchronous endometrial and ovarian cancer who have a family history suggestive of HNPCC may appropriately identify women with Lynch syndrome."}
+{"id": "pubmedqa_train_02", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 27818079, "prompt": "Question: Is the Retromandibular Transparotid Approach a Reliable Option for the Surgical Treatment of Condylar Fractures?\n\nContext:\nPURPOSE: This study evaluated the outcomes and complications of the surgical treatment of condylar fractures by the retromandibular transparotid approach. The authors hypothesized that such an approach would be safe and reliable for the treatment of most condylar fractures.\nMATERIALS AND METHODS: A retrospective evaluation of patients who underwent surgical reduction of a condylar fracture from January 2012 to December 2014 at the Clinic of Dentistry and Maxillofacial Surgery of the University Hospital of Verona (Verona, Italy) was performed. Inclusion criteria were having undergone surgical treatment of condylar fractures with a retromandibular transparotid approach and the availability of computed tomograms of the preoperative and postoperative facial skeleton with a minimum follow-up of 1 year. Static and dynamic occlusal function, temporomandibular joint health status, presence of neurologic impairments, and esthetic outcomes were evaluated in all patients.\nRESULTS: The sample was composed of 25 patients. Preinjury occlusion and temporomandibular joint health were restored in most patients. Esthetic outcomes were deemed satisfactory by clinicians and patients. Neither permanent neurologic impairments nor major postoperative complications were observed.", "question": "Is the Retromandibular Transparotid Approach a Reliable Option for the Surgical Treatment of Condylar Fractures?", "context": "PURPOSE: This study evaluated the outcomes and complications of the surgical treatment of condylar fractures by the retromandibular transparotid approach. The authors hypothesized that such an approach would be safe and reliable for the treatment of most condylar fractures.\nMATERIALS AND METHODS: A retrospective evaluation of patients who underwent surgical reduction of a condylar fracture from January 2012 to December 2014 at the Clinic of Dentistry and Maxillofacial Surgery of the University Hospital of Verona (Verona, Italy) was performed. Inclusion criteria were having undergone surgical treatment of condylar fractures with a retromandibular transparotid approach and the availability of computed tomograms of the preoperative and postoperative facial skeleton with a minimum follow-up of 1 year. Static and dynamic occlusal function, temporomandibular joint health status, presence of neurologic impairments, and esthetic outcomes were evaluated in all patients.\nRESULTS: The sample was composed of 25 patients. Preinjury occlusion and temporomandibular joint health were restored in most patients. Esthetic outcomes were deemed satisfactory by clinicians and patients. Neither permanent neurologic impairments nor major postoperative complications were observed.", "long_answer": "According to the results of the present study, the retromandibular transparotid approach is a viable and safe approach for the surgical treatment of condylar fractures."}
+{"id": "pubmedqa_train_03", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 21166749, "prompt": "Question: Is patient outcome compromised during the initial experience with robot-assisted radical cystectomy?\n\nContext:\nOBJECTIVE: • Robot-assisted radical cystectomy (RARC) remains controversial in terms of oncologic outcomes, especially during the initial experience. The purpose of this study was to evaluate the impact of initial experience of robotic cystectomy programs on oncologic outcomes and overall survival.\nPATIENTS AND METHODS: • Utilizing a prospectively maintained, single institution robotic cystectomy database, we identified 164 consecutive patients who underwent RARC since November 2005. • After stratification by age group, gender, pathologic T stage, lymph node status, surgical margin status, and sequential case number; we used chi-squared analyses to correlate sequential case number to operative time, surgical blood loss, lymph node yield, and surgical margin status. • We also addressed the relationship between complications and sequential case number. We then utilized Cox proportional hazard modeling and Kaplan-Meier survival analyses to correlate variables to overall mortality.\nRESULTS: • Sequential case number was not significantly associated with increased incidence of complications, surgical blood loss, or positive surgical margins (P= 0.780, P= 0.548, P= 0.545). Case number was, however, significantly associated with shorter operative time and mean number of lymph nodes retrieved (P<0.001, P<0.001). • Sequential case number was not significantly associated with survival; however, tumour stage, the presence of lymph node metastases, and positive surgical margins were significantly associated with death. • Although being the largest of its kind, this was a small study with short follow-up when compared to open cystectomy series.", "question": "Is patient outcome compromised during the initial experience with robot-assisted radical cystectomy?", "context": "OBJECTIVE: • Robot-assisted radical cystectomy (RARC) remains controversial in terms of oncologic outcomes, especially during the initial experience. The purpose of this study was to evaluate the impact of initial experience of robotic cystectomy programs on oncologic outcomes and overall survival.\nPATIENTS AND METHODS: • Utilizing a prospectively maintained, single institution robotic cystectomy database, we identified 164 consecutive patients who underwent RARC since November 2005. • After stratification by age group, gender, pathologic T stage, lymph node status, surgical margin status, and sequential case number; we used chi-squared analyses to correlate sequential case number to operative time, surgical blood loss, lymph node yield, and surgical margin status. • We also addressed the relationship between complications and sequential case number. We then utilized Cox proportional hazard modeling and Kaplan-Meier survival analyses to correlate variables to overall mortality.\nRESULTS: • Sequential case number was not significantly associated with increased incidence of complications, surgical blood loss, or positive surgical margins (P= 0.780, P= 0.548, P= 0.545). Case number was, however, significantly associated with shorter operative time and mean number of lymph nodes retrieved (P<0.001, P<0.001). • Sequential case number was not significantly associated with survival; however, tumour stage, the presence of lymph node metastases, and positive surgical margins were significantly associated with death. • Although being the largest of its kind, this was a small study with short follow-up when compared to open cystectomy series.", "long_answer": "• Initial experience with RARC did not affect the incidence of positive surgical margins, operative/postoperative complications, or overall survival in a single-institution series."}
+{"id": "pubmedqa_train_04", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 15388567, "prompt": "Question: Are sports medicine journals relevant and applicable to practitioners and athletes?\n\nContext:\nOBJECTIVE: To examine the evidence base of sports medicine research and assess how relevant and applicable it is to everyday practice.\nMETHODS: Original research articles, short reports, and case reports published in four major sport and exercise medicine journals were studied and classified according to the main topic of study and type of subjects used.\nRESULTS: The most common topic was sports science, and very few studies related to the treatment of injuries and medical conditions. The majority of published articles used healthy subjects sampled from the sedentary population, and few studies have been carried out on injured participants.", "question": "Are sports medicine journals relevant and applicable to practitioners and athletes?", "context": "OBJECTIVE: To examine the evidence base of sports medicine research and assess how relevant and applicable it is to everyday practice.\nMETHODS: Original research articles, short reports, and case reports published in four major sport and exercise medicine journals were studied and classified according to the main topic of study and type of subjects used.\nRESULTS: The most common topic was sports science, and very few studies related to the treatment of injuries and medical conditions. The majority of published articles used healthy subjects sampled from the sedentary population, and few studies have been carried out on injured participants.", "long_answer": "There is a dearth of studies addressing diagnostic and treatment interventions in the sports medicine literature. The evidence base for sports medicine must continue to increase in terms of volume and quality."}
+{"id": "pubmedqa_train_05", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 23359100, "prompt": "Question: Is etoricoxib effective in preventing heterotopic ossification after primary total hip arthroplasty?\n\nContext:\nPURPOSE: Heterotopic ossification is a common complication after total hip arthroplasty. Non-steroidal anti-inflammatory drugs (NSAIDs) are known to prevent heterotopic ossifications effectively, however gastrointestinal complaints are reported frequently. In this study, we investigated whether etoricoxib, a selective cyclo-oxygenase-2 (COX-2) inhibitor that produces fewer gastrointestinal side effects, is an effective alternative for the prevention of heterotopic ossification.\nMETHODS: We investigated the effectiveness of oral etoricoxib 90 mg for seven days in a prospective two-stage study design for phase-2 clinical trials in a small sample of patients (n = 42). A cemented primary total hip arthroplasty was implanted for osteoarthritis. Six months after surgery, heterotopic ossification was determined on anteroposterior pelvic radiographs using the Brooker classification.\nRESULTS: No heterotopic ossification was found in 62 % of the patients that took etoricoxib; 31 % of the patients had Brooker grade 1 and 7 % Brooker grade 2 ossification.", "question": "Is etoricoxib effective in preventing heterotopic ossification after primary total hip arthroplasty?", "context": "PURPOSE: Heterotopic ossification is a common complication after total hip arthroplasty. Non-steroidal anti-inflammatory drugs (NSAIDs) are known to prevent heterotopic ossifications effectively, however gastrointestinal complaints are reported frequently. In this study, we investigated whether etoricoxib, a selective cyclo-oxygenase-2 (COX-2) inhibitor that produces fewer gastrointestinal side effects, is an effective alternative for the prevention of heterotopic ossification.\nMETHODS: We investigated the effectiveness of oral etoricoxib 90 mg for seven days in a prospective two-stage study design for phase-2 clinical trials in a small sample of patients (n = 42). A cemented primary total hip arthroplasty was implanted for osteoarthritis. Six months after surgery, heterotopic ossification was determined on anteroposterior pelvic radiographs using the Brooker classification.\nRESULTS: No heterotopic ossification was found in 62 % of the patients that took etoricoxib; 31 % of the patients had Brooker grade 1 and 7 % Brooker grade 2 ossification.", "long_answer": "Etoricoxib seems effective in preventing heterotopic ossification after total hip arthroplasty. This finding further supports the use of COX-2 inhibitors for the prevention of heterotopic ossification following total hip arthroplasty."}
+{"id": "pubmedqa_train_06", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 25810292, "prompt": "Question: Is minimally invasive mitral valve repair with artificial chords reproducible and applicable in routine surgery?\n\nContext:\nOBJECTIVES: Traditional resectional techniques and chordal transfer are difficult to apply in video-assisted mitral valve repair. Using artificial chords appears easier in this setting. The purpose of this study was to review the effectiveness and reproducibility of neochordal repair as a routine approach to minimally invasive mitral repair, and to assess the stability of neochord implantation using the figure-of-eight suture without pledgets in this setting.\nMETHODS: This is a retrospective review of all patients who underwent minimally invasive video-assisted mitral valve repair from 2008 to 2013. The primary endpoints were recurrent mitral regurgitation and reoperation.\nRESULTS: A total of 426 consecutive patients were included during the study period, with a mean age of 55 ± 18 years. Neochords were used in all patients, and in association with leaflet resection in 47 patients. One patient was not repairable and underwent valve replacement (repair rate, 99.8%). Fifteen patients had Grade I (3.5%) regurgitation, whereas the remainder had none. Patients were fast-tracked, with 25% extubated in the operation theatre and the remainder within 6 h. There were 5 deaths within 30 days (1.2%). Follow-up ranged 3-60 months, during which all of the patients remained with no or trace mitral regurgitation. No de-insertion or rupture of any neochords was found, and no patients required a reoperation.", "question": "Is minimally invasive mitral valve repair with artificial chords reproducible and applicable in routine surgery?", "context": "OBJECTIVES: Traditional resectional techniques and chordal transfer are difficult to apply in video-assisted mitral valve repair. Using artificial chords appears easier in this setting. The purpose of this study was to review the effectiveness and reproducibility of neochordal repair as a routine approach to minimally invasive mitral repair, and to assess the stability of neochord implantation using the figure-of-eight suture without pledgets in this setting.\nMETHODS: This is a retrospective review of all patients who underwent minimally invasive video-assisted mitral valve repair from 2008 to 2013. The primary endpoints were recurrent mitral regurgitation and reoperation.\nRESULTS: A total of 426 consecutive patients were included during the study period, with a mean age of 55 ± 18 years. Neochords were used in all patients, and in association with leaflet resection in 47 patients. One patient was not repairable and underwent valve replacement (repair rate, 99.8%). Fifteen patients had Grade I (3.5%) regurgitation, whereas the remainder had none. Patients were fast-tracked, with 25% extubated in the operation theatre and the remainder within 6 h. There were 5 deaths within 30 days (1.2%). Follow-up ranged 3-60 months, during which all of the patients remained with no or trace mitral regurgitation. No de-insertion or rupture of any neochords was found, and no patients required a reoperation.", "long_answer": "Minimally invasive mitral valve repair using neochords provided a high rate of repair, reproducible results in a routine cardiac surgery setting and stable repair during follow-up. This has become our preferred technique for mitral valve surgery."}
+{"id": "pubmedqa_train_07", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 17062225, "prompt": "Question: Thoracic and thoracoabdominal aneurysm repair: is reimplantation of spinal cord arteries a waste of time?\n\nContext:\nBACKGROUND: The impact of different strategies for management of intercostal and lumbar arteries during repair of thoracic and thoracoabdominal aortic aneurysms (TAA/A) on the prevention of paraplegia remains poorly understood.\nMETHODS: One hundred consecutive patients with intraoperative monitoring of motor evoked potentials (MEP) and somatosensory evoked potentials (SSEP) during TAA/A repair involving serial segmental artery sacrifice (October 2002 to December 2004) were reviewed.\nRESULTS: Operative mortality was 6%. The median intensive care unit stay was 2.5 days (IQ range: 1-4 days), and the median hospital stay 10.0 days (IQ range: 8-17 days). Potentials remained unchanged during the course of serial segmental artery sacrifice, or could be returned to baseline levels by anesthetic and blood pressure manipulation, in 99 of 100 cases. An average of 8.0 +/- 2.6 segmental artery pairs were sacrificed overall, with an average of 4.5 +/- 2.1 segmental pairs sacrificed between T7 and L1, where the artery of Adamkiewicz is presumed to arise. Postoperative paraplegia occurred in 2 patients. In 1, immediate paraplegia was precipitated by an intraoperative dissection, resulting in 6 hours of lower body ischemia. A second ambulatory patient had severe paraparesis albeit normal cerebral function after resuscitation from a respiratory arrest.", "question": "Thoracic and thoracoabdominal aneurysm repair: is reimplantation of spinal cord arteries a waste of time?", "context": "BACKGROUND: The impact of different strategies for management of intercostal and lumbar arteries during repair of thoracic and thoracoabdominal aortic aneurysms (TAA/A) on the prevention of paraplegia remains poorly understood.\nMETHODS: One hundred consecutive patients with intraoperative monitoring of motor evoked potentials (MEP) and somatosensory evoked potentials (SSEP) during TAA/A repair involving serial segmental artery sacrifice (October 2002 to December 2004) were reviewed.\nRESULTS: Operative mortality was 6%. The median intensive care unit stay was 2.5 days (IQ range: 1-4 days), and the median hospital stay 10.0 days (IQ range: 8-17 days). Potentials remained unchanged during the course of serial segmental artery sacrifice, or could be returned to baseline levels by anesthetic and blood pressure manipulation, in 99 of 100 cases. An average of 8.0 +/- 2.6 segmental artery pairs were sacrificed overall, with an average of 4.5 +/- 2.1 segmental pairs sacrificed between T7 and L1, where the artery of Adamkiewicz is presumed to arise. Postoperative paraplegia occurred in 2 patients. In 1, immediate paraplegia was precipitated by an intraoperative dissection, resulting in 6 hours of lower body ischemia. A second ambulatory patient had severe paraparesis albeit normal cerebral function after resuscitation from a respiratory arrest.", "long_answer": "With monitoring of MEP and SSEP, sacrifice--without reimplantation--of as many as 15 intercostal and lumbar arteries during TAA/A repair is safe, resulting in acceptably low rates of immediate and delayed paraplegia. This experience suggests that routine surgical implantation of segmental vessels is not indicated, and that, with evolving understanding of spinal cord perfusion, endovascular repair of the entire thoracic aorta should ultimately be possible without spinal cord injury."}
+{"id": "pubmedqa_train_08", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 16249670, "prompt": "Question: Does the investing layer of the deep cervical fascia exist?\n\nContext:\nBACKGROUND: The placement of the superficial cervical plexus block has been the subject of controversy. Although the investing cervical fascia has been considered as an impenetrable barrier, clinically, the placement of the block deep or superficial to the fascia provides the same effective anesthesia. The underlying mechanism is unclear. The aim of this study was to investigate the three-dimensional organization of connective tissues in the anterior region of the neck.\nMETHODS: Using a combination of dissection, E12 sheet plastination, and confocal microscopy, fascial structures in the anterior cervical triangle were examined in 10 adult human cadavers.\nRESULTS: In the upper cervical region, the fascia of strap muscles in the middle and the fasciae of the submandibular glands on both sides formed a dumbbell-like fascia sheet that had free lateral margins and did not continue with the sternocleidomastoid fascia. In the lower cervical region, no single connective tissue sheet extended directly between the sternocleidomastoid muscles. The fascial structure deep to platysma in the anterior cervical triangle comprised the strap fascia.", "question": "Does the investing layer of the deep cervical fascia exist?", "context": "BACKGROUND: The placement of the superficial cervical plexus block has been the subject of controversy. Although the investing cervical fascia has been considered as an impenetrable barrier, clinically, the placement of the block deep or superficial to the fascia provides the same effective anesthesia. The underlying mechanism is unclear. The aim of this study was to investigate the three-dimensional organization of connective tissues in the anterior region of the neck.\nMETHODS: Using a combination of dissection, E12 sheet plastination, and confocal microscopy, fascial structures in the anterior cervical triangle were examined in 10 adult human cadavers.\nRESULTS: In the upper cervical region, the fascia of strap muscles in the middle and the fasciae of the submandibular glands on both sides formed a dumbbell-like fascia sheet that had free lateral margins and did not continue with the sternocleidomastoid fascia. In the lower cervical region, no single connective tissue sheet extended directly between the sternocleidomastoid muscles. The fascial structure deep to platysma in the anterior cervical triangle comprised the strap fascia.", "long_answer": "This study provides anatomical evidence to indicate that the so-called investing cervical fascia does not exist in the anterior triangle of the neck. Taking the previous reports together, the authors' findings strongly suggest that deep potential spaces in the neck are directly continuous with the subcutaneous tissue."}
+{"id": "pubmedqa_train_09", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 28011794, "prompt": "Question: Can Ambu self-inflating bag and Neopuff infant resuscitator provide adequate and safe manual inflations for infants up to 10 kg weight?\n\nContext:\nBACKGROUND: Manual resuscitation devices for infants and newborns must be able to provide adequate ventilation in a safe and consistent manner across a wide range of patient sizes (0.5-10 kg) and differing clinical states. There are little comparative data assessing biomechanical performance of common infant manual resuscitation devices across the manufacturers' recommended operating weight ranges. We aimed to compare performance of the Ambu self-inflating bag (SIB) with the Neopuff T-piece resuscitator in three resuscitation models.\nMETHODS: Five experienced clinicians delivered targeted ventilation to three lung models differing in compliance, delivery pressures and inflation rates; Preterm (0.5 mL/cmH2O, 25/5 cmH2O, 60 per minute), Term (3 mL/cmH2O, 30/5 cmH2O, 40 per minute) and Infant (9 mL/cmH2O, 35/5 cmH2O, 30 per minute). The Neopuff was examined with three gas inflow rates (5 litres per minute (LPM), 10 LPM and 15 LPM) and the Ambu with no gas inflow.\nRESULTS: 3309 inflations were collected and analysed with analysis of variance for repeated measures. The Neopuff was unable to reach set peak inflation pressures and exhibited seriously elevated positive end expiratory pressure (PEEP) with all inflow gas rates (p<0.001) in this infant model. The Ambu SIB accurately delivered targeted pressures in all three models.", "question": "Can Ambu self-inflating bag and Neopuff infant resuscitator provide adequate and safe manual inflations for infants up to 10 kg weight?", "context": "BACKGROUND: Manual resuscitation devices for infants and newborns must be able to provide adequate ventilation in a safe and consistent manner across a wide range of patient sizes (0.5-10 kg) and differing clinical states. There are little comparative data assessing biomechanical performance of common infant manual resuscitation devices across the manufacturers' recommended operating weight ranges. We aimed to compare performance of the Ambu self-inflating bag (SIB) with the Neopuff T-piece resuscitator in three resuscitation models.\nMETHODS: Five experienced clinicians delivered targeted ventilation to three lung models differing in compliance, delivery pressures and inflation rates; Preterm (0.5 mL/cmH2O, 25/5 cmH2O, 60 per minute), Term (3 mL/cmH2O, 30/5 cmH2O, 40 per minute) and Infant (9 mL/cmH2O, 35/5 cmH2O, 30 per minute). The Neopuff was examined with three gas inflow rates (5 litres per minute (LPM), 10 LPM and 15 LPM) and the Ambu with no gas inflow.\nRESULTS: 3309 inflations were collected and analysed with analysis of variance for repeated measures. The Neopuff was unable to reach set peak inflation pressures and exhibited seriously elevated positive end expiratory pressure (PEEP) with all inflow gas rates (p<0.001) in this infant model. The Ambu SIB accurately delivered targeted pressures in all three models.", "long_answer": "The Ambu SIB was able to accurately deliver targeted pressures across all three models from preterm to infant. The Neopuff infant resuscitator was unable to deliver the targeted pressures in the infant model developing clinically significant levels of inadvertent PEEP which may pose risk during infant resuscitation."}
+{"id": "pubmedqa_train_10", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 17578985, "prompt": "Question: Parasacral sciatic nerve block: does the elicited motor response predict the success rate?\n\nContext:\nBACKGROUND: In this prospective, randomized, double-blind study, we compared the tibial and the peroneal evoked motor response with regard to efficacy of sciatic nerve block using the parasacral approach.\nMETHODS: Twenty-six ASA I-III patients scheduled for elective lower limb surgery were randomized to receive a parasacral sciatic block, using a nerve stimulator technique seeking either a tibial (n = 14) or peroneal (n = 12) motor response. After the evoked motor response was obtained, a solution of 10 mL 2% lidocaine with epinephrine and 10 mL 0.75% ropivacaine (actual final concentration of epinephrine, 1/160,000) was slowly injected through the needle. Sensory and motor blocks were assessed every 5 min for 30 min by an anesthesiologist blinded to the elicited motor response. If the block was not complete 30 min after injection of the local anesthetics, it was considered as failed, and general anesthesia was supplemented.\nRESULTS: Time to perform the block and level of minimal and maximal stimulation were not different between groups. The success rate of complete block was significantly higher in the tibial compared to the peroneal group (11 of 14 vs 2 of 12; P = 0.002).", "question": "Parasacral sciatic nerve block: does the elicited motor response predict the success rate?", "context": "BACKGROUND: In this prospective, randomized, double-blind study, we compared the tibial and the peroneal evoked motor response with regard to efficacy of sciatic nerve block using the parasacral approach.\nMETHODS: Twenty-six ASA I-III patients scheduled for elective lower limb surgery were randomized to receive a parasacral sciatic block, using a nerve stimulator technique seeking either a tibial (n = 14) or peroneal (n = 12) motor response. After the evoked motor response was obtained, a solution of 10 mL 2% lidocaine with epinephrine and 10 mL 0.75% ropivacaine (actual final concentration of epinephrine, 1/160,000) was slowly injected through the needle. Sensory and motor blocks were assessed every 5 min for 30 min by an anesthesiologist blinded to the elicited motor response. If the block was not complete 30 min after injection of the local anesthetics, it was considered as failed, and general anesthesia was supplemented.\nRESULTS: Time to perform the block and level of minimal and maximal stimulation were not different between groups. The success rate of complete block was significantly higher in the tibial compared to the peroneal group (11 of 14 vs 2 of 12; P = 0.002).", "long_answer": "Eliciting a tibial motor response predicts a higher success rate than eliciting a peroneal motor response with parasacral sciatic nerve block."}
+{"id": "pubmedqa_train_11", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 21756515, "prompt": "Question: Does solid culture for tuberculosis influence clinical decision making in India?\n\nContext:\nSETTING: Medical units at an academic tertiary referral hospital in Southern India.\nOBJECTIVE: To investigate the impact of solid culture on Löwenstein-Jensen medium on clinical decision making.\nDESIGN: In a retrospective review of 150 culture-positive and 150 culture-negative consecutively sampled tuberculosis (TB) suspects, treatment decisions were analysed at presentation, after the availability of culture detection results and after the availability of drug susceptibility testing (DST) culture results.\nRESULTS: A total of 124 (82.7%) culture-positive patients and 35 (23.3%) culture-negative patients started anti-tuberculosis treatment prior to receiving their culture results; 101 patients (33.7%) returned for their results; two (1.3%) initiated treatment based on positive culture and no culture-negative patients discontinued treatment. DST was performed on 119 (79.3%) positive cultures: 30 (25.2%) showed any resistance, eight (6.7%) showed multidrug resistance and one (0.84%) showed extensively drug-resistant TB. Twenty-eight patients (23.5%) returned for their DST results. Based on DST, treatment was modified in four patients (3.4%).", "question": "Does solid culture for tuberculosis influence clinical decision making in India?", "context": "SETTING: Medical units at an academic tertiary referral hospital in Southern India.\nOBJECTIVE: To investigate the impact of solid culture on Löwenstein-Jensen medium on clinical decision making.\nDESIGN: In a retrospective review of 150 culture-positive and 150 culture-negative consecutively sampled tuberculosis (TB) suspects, treatment decisions were analysed at presentation, after the availability of culture detection results and after the availability of drug susceptibility testing (DST) culture results.\nRESULTS: A total of 124 (82.7%) culture-positive patients and 35 (23.3%) culture-negative patients started anti-tuberculosis treatment prior to receiving their culture results; 101 patients (33.7%) returned for their results; two (1.3%) initiated treatment based on positive culture and no culture-negative patients discontinued treatment. DST was performed on 119 (79.3%) positive cultures: 30 (25.2%) showed any resistance, eight (6.7%) showed multidrug resistance and one (0.84%) showed extensively drug-resistant TB. Twenty-eight patients (23.5%) returned for their DST results. Based on DST, treatment was modified in four patients (3.4%).", "long_answer": "Using solid culture, 150 cultures need to be tested for one treatment modification and 30 for DST. The cost of the widespread application of culture will need to be balanced against its impact on treatment decisions in India."}
+{"id": "pubmedqa_train_12", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 25480629, "prompt": "Question: Residual fundus or neofundus after laparoscopic sleeve gastrectomy: is fundectomy safe and effective as revision surgery?\n\nContext:\nINTRODUCTION: Up to 30 % of patients who have undergone laparoscopic sleeve gastrectomy require revision surgery for inadequate weight loss, weight regain, and/or the development of severe upper gastrointestinal symptoms. The aim of this retrospective study was to evaluate the safety and efficacy of laparoscopic fundectomy (LF) in cases of a residual fundus/neofundus development regarding GERD symptoms.\nMETHODS: The study group comprised 19 patients (17 female; mean BMI 35.4 kg/m(2)) divided into 2 groups. Group A (n = 10) patients with severe GERD and evidence of residual fundus/neofundus, Hiatal hernia with good results in terms of weight loss. Group B (n = 9) patients with severe GERD, a residual fundus/neofundus, inadequate weight loss or weight regain. Fundectomy was indicated when a residual fundus/neofundus was associated with severe GERD symptoms. The presence of a residual fundus/neofundus was assessed by a barium swallow and/or multislice computed tomography.\nRESULTS: No mortality or intra-operative complications occurred. Five postoperative complications occurred: 2 cases of bleeding, 1 mid-gastric stenosis and 2 leaks (10.5 %). All patients experienced improvements in their GERD symptoms and stopped PPI treatment. Group B exhibited an additional %EWL of 53.4 % at 24 months.", "question": "Residual fundus or neofundus after laparoscopic sleeve gastrectomy: is fundectomy safe and effective as revision surgery?", "context": "INTRODUCTION: Up to 30 % of patients who have undergone laparoscopic sleeve gastrectomy require revision surgery for inadequate weight loss, weight regain, and/or the development of severe upper gastrointestinal symptoms. The aim of this retrospective study was to evaluate the safety and efficacy of laparoscopic fundectomy (LF) in cases of a residual fundus/neofundus development regarding GERD symptoms.\nMETHODS: The study group comprised 19 patients (17 female; mean BMI 35.4 kg/m(2)) divided into 2 groups. Group A (n = 10) patients with severe GERD and evidence of residual fundus/neofundus, Hiatal hernia with good results in terms of weight loss. Group B (n = 9) patients with severe GERD, a residual fundus/neofundus, inadequate weight loss or weight regain. Fundectomy was indicated when a residual fundus/neofundus was associated with severe GERD symptoms. The presence of a residual fundus/neofundus was assessed by a barium swallow and/or multislice computed tomography.\nRESULTS: No mortality or intra-operative complications occurred. Five postoperative complications occurred: 2 cases of bleeding, 1 mid-gastric stenosis and 2 leaks (10.5 %). All patients experienced improvements in their GERD symptoms and stopped PPI treatment. Group B exhibited an additional %EWL of 53.4 % at 24 months.", "long_answer": "LF and cruroplasty is feasible and has good results in terms of GERD symptoms control and additional weight loss. The high rate of postoperative complications observed in this series remains a matter of concern. A re-sleeve procedure might be considered as an alternative to RYGB/DS conversion restricted to selected patients."}
+{"id": "pubmedqa_train_13", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 22825590, "prompt": "Question: Are behavioural risk factors to be blamed for the conversion from optimal blood pressure to hypertensive status in Black South Africans?\n\nContext:\nBACKGROUND: Longitudinal cohort studies in sub-Saharan Africa are urgently needed to understand cardiovascular disease development. We, therefore, explored health behaviours and conventional risk factors of African individuals with optimal blood pressure (BP) (≤ 120/80 mm Hg), and their 5-year prediction for the development of hypertension.\nMETHODS: The Prospective Urban Rural Epidemiology study in the North West Province, South Africa, started in 2005 and included African volunteers (n = 1994; aged>30 years) from a sample of 6000 randomly selected households in rural and urban areas.\nRESULTS: At baseline, 48% of the participants were hypertensive (≥ 140/90 mmHg). Those with optimal BP (n = 478) were followed at a success rate of 70% for 5 years (213 normotensive, 68 hypertensive, 57 deceased). Africans that became hypertensive smoked more than the normotensive individuals (68.2% vs 49.8%), and they also had a greater waist circumference [ratio of geometric means of 0.94 cm (95% CI: 0.86-0.99)] and greater amount of γ-glutamyltransferase [0.74 U/l (95% CI: 0.62-0.88)]at baseline. The 5-year change in BP was independently explained by baseline γ-glutamyltransferase [R(2) = 0.23, β = 0.13 U/l (95% CI: 0.01-0.19)]. Alcohol intake also predicted central systolic BP and carotid cross-sectional wall area (CSWA) at follow-up. Waist circumference was another predictor of BP changes [β = 0.18 cm (95% CI: 0.05-0.24)]and CSWA. HIV infection was inversely associated with increased BP.", "question": "Are behavioural risk factors to be blamed for the conversion from optimal blood pressure to hypertensive status in Black South Africans?", "context": "BACKGROUND: Longitudinal cohort studies in sub-Saharan Africa are urgently needed to understand cardiovascular disease development. We, therefore, explored health behaviours and conventional risk factors of African individuals with optimal blood pressure (BP) (≤ 120/80 mm Hg), and their 5-year prediction for the development of hypertension.\nMETHODS: The Prospective Urban Rural Epidemiology study in the North West Province, South Africa, started in 2005 and included African volunteers (n = 1994; aged>30 years) from a sample of 6000 randomly selected households in rural and urban areas.\nRESULTS: At baseline, 48% of the participants were hypertensive (≥ 140/90 mmHg). Those with optimal BP (n = 478) were followed at a success rate of 70% for 5 years (213 normotensive, 68 hypertensive, 57 deceased). Africans that became hypertensive smoked more than the normotensive individuals (68.2% vs 49.8%), and they also had a greater waist circumference [ratio of geometric means of 0.94 cm (95% CI: 0.86-0.99)] and greater amount of γ-glutamyltransferase [0.74 U/l (95% CI: 0.62-0.88)]at baseline. The 5-year change in BP was independently explained by baseline γ-glutamyltransferase [R(2) = 0.23, β = 0.13 U/l (95% CI: 0.01-0.19)]. Alcohol intake also predicted central systolic BP and carotid cross-sectional wall area (CSWA) at follow-up. Waist circumference was another predictor of BP changes [β = 0.18 cm (95% CI: 0.05-0.24)]and CSWA. HIV infection was inversely associated with increased BP.", "long_answer": "During the 5 years, 24% of Africans with optimal BP developed hypertension. The surge in hypertension in Africa is largely explained by modifiable risk factors. Public health strategies should focus aggressively on lifestyle to prevent a catastrophic burden on the national health system."}
+{"id": "pubmedqa_train_14", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 18274917, "prompt": "Question: Prognosis of low-tone sudden deafness - does it inevitably progress to Meniere's disease?\n\nContext:\nOBJECTIVES: To investigate whether low-tone SD was a precursor of Meniere's disease and whether patients with low-tone SD suffered from endolymphatic hydrops.\nPATIENTS AND METHODS: This was a retrospective case review in the university hospital. A total of 184 patients with low-tone SD were divided into two groups with single and recurrent episodes. The progress, follow-up audiograms, and ECochG results of the patients were reviewed and compared with those of patients with high-tone SD and Meniere's disease.\nRESULTS: In all, 83 of 177 patients with low-tone SD unaccompanied by vertigo had recurrent hearing loss; 15 of the 83 developed vertiginous attacks. The remaining 94 patients had a single episode. Three of the seven patients with low-tone SD accompanied by vertigo had recurrent hearing loss; two of the three were subsequently confirmed to have Meniere's disease. The other four had a single episode. No difference in rate of progress from SD to Meniere's disease was observed among the low-tone and the high-tone SD groups. The average -SP/AP of each group with a single episode is smaller than that of other groups with recurrent episodes and Meniere's disease.", "question": "Prognosis of low-tone sudden deafness - does it inevitably progress to Meniere's disease?", "context": "OBJECTIVES: To investigate whether low-tone SD was a precursor of Meniere's disease and whether patients with low-tone SD suffered from endolymphatic hydrops.\nPATIENTS AND METHODS: This was a retrospective case review in the university hospital. A total of 184 patients with low-tone SD were divided into two groups with single and recurrent episodes. The progress, follow-up audiograms, and ECochG results of the patients were reviewed and compared with those of patients with high-tone SD and Meniere's disease.\nRESULTS: In all, 83 of 177 patients with low-tone SD unaccompanied by vertigo had recurrent hearing loss; 15 of the 83 developed vertiginous attacks. The remaining 94 patients had a single episode. Three of the seven patients with low-tone SD accompanied by vertigo had recurrent hearing loss; two of the three were subsequently confirmed to have Meniere's disease. The other four had a single episode. No difference in rate of progress from SD to Meniere's disease was observed among the low-tone and the high-tone SD groups. The average -SP/AP of each group with a single episode is smaller than that of other groups with recurrent episodes and Meniere's disease.", "long_answer": "We conclude that not all low-tone sudden deafness (SD) patients suffered from endolymphatic hydrops even if they had vertigo attack at the onset and that electrocochleography (ECochG) was a useful prognostic tool."}
+{"id": "pubmedqa_train_15", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 15280782, "prompt": "Question: Is unsafe sexual behaviour increasing among HIV-infected individuals?\n\nContext:\nBACKGROUND: The number of new diagnoses of HIV infection is rising in the northwestern hemisphere and it is becoming increasingly important to understand the mechanisms behind this trend.\nOBJECTIVE: To evaluate whether reported unsafe sexual behaviour among HIV- infected individuals is changing over time.\nDESIGN: Participants in the Swiss HIV Cohort Study were asked about their sexual practices every 6 months for 3 years during regular follow-up of the cohort beginning on 1 April 2000.\nMETHODS: : Logistic regression models were fit using generalized estimating equations assuming a constant correlation between responses from the same individual.\nRESULTS: At least one sexual behaviour questionnaire was obtained for 6545 HIV-infected individuals and the median number of questionnaires completed per individual was five. There was no evidence of an increase in reported unsafe sex over time in this population [odds ratio (OR), 1.0; 95% confidence interval (CI), 0.96-1.05]. Females (OR, 1.38; 95% CI, 1.19-1.60), 15-30 year olds (OR, 1.26; 95% CI, 1.09-1.47), those with HIV-positive partners (OR, 12.58; 95% CI, 10.84-14.07) and those with occasional partners (OR, 3.25; 95% CI, 2.87-3.67) were more likely to report unsafe sex. There was no evidence of a response bias over time, but individuals were less willing to leave questions about their sexual behaviour unanswered or ambiguous (OR, 0.93; 95% CI, 0.90-0.97).", "question": "Is unsafe sexual behaviour increasing among HIV-infected individuals?", "context": "BACKGROUND: The number of new diagnoses of HIV infection is rising in the northwestern hemisphere and it is becoming increasingly important to understand the mechanisms behind this trend.\nOBJECTIVE: To evaluate whether reported unsafe sexual behaviour among HIV- infected individuals is changing over time.\nDESIGN: Participants in the Swiss HIV Cohort Study were asked about their sexual practices every 6 months for 3 years during regular follow-up of the cohort beginning on 1 April 2000.\nMETHODS: : Logistic regression models were fit using generalized estimating equations assuming a constant correlation between responses from the same individual.\nRESULTS: At least one sexual behaviour questionnaire was obtained for 6545 HIV-infected individuals and the median number of questionnaires completed per individual was five. There was no evidence of an increase in reported unsafe sex over time in this population [odds ratio (OR), 1.0; 95% confidence interval (CI), 0.96-1.05]. Females (OR, 1.38; 95% CI, 1.19-1.60), 15-30 year olds (OR, 1.26; 95% CI, 1.09-1.47), those with HIV-positive partners (OR, 12.58; 95% CI, 10.84-14.07) and those with occasional partners (OR, 3.25; 95% CI, 2.87-3.67) were more likely to report unsafe sex. There was no evidence of a response bias over time, but individuals were less willing to leave questions about their sexual behaviour unanswered or ambiguous (OR, 0.93; 95% CI, 0.90-0.97).", "long_answer": "There was no evidence of a trend in unsafe sex behaviour over time. However, several subgroups were identified as being more likely to report unsafe sex and should be targeted for specific interventions."}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/datasets/pubmedqa_train_with_gold.jsonl

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+{"id": "pubmedqa_train_01", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 16361634, "prompt": "Question: Women with synchronous primary cancers of the endometrium and ovary: do they have Lynch syndrome?\n\nContext:\nPURPOSE: Lynch syndrome (hereditary nonpolyposis colorectal cancer; HNPCC) is an autosomal-dominant cancer predisposition syndrome that increases risk for multiple cancers, including colon, endometrial, and ovarian cancer. Revised Bethesda Criteria recommend that patients with two HNPCC-associated cancers undergo molecular evaluation to determine whether they have a mismatch repair (MMR) defect associated with HNPCC. The purpose of our study was to determine the likelihood of MMR defects (MSH2, MSH6, MLH1) in women with synchronous endometrial and ovarian cancer.\nPATIENTS AND METHODS: Between 1989 and 2004, 102 women with synchronous endometrial and ovarian cancers were identified; 59 patients had tumor blocks available for analysis. Patients were divided into risk groups based on family history: high (met Amsterdam criteria), medium (personal history or first-degree relative with an HNPCC-associated cancer), and low (all others). Protein expression for MSH2, MSH6, and MLH1 was evaluated by immunohistochemistry. Microsatellite instability and MLH1 promoter methylation analyses were performed on a subset of cases.\nRESULTS: Median age was 50 years. Two patients met Amsterdam criteria for HNPCC. Five additional patients, all medium-risk, had molecular findings consistent with a germline mutation of either MSH2 or MLH1. None of the low-risk patients had molecular results consistent with a germline mutation.", "question": "Women with synchronous primary cancers of the endometrium and ovary: do they have Lynch syndrome?", "context": "PURPOSE: Lynch syndrome (hereditary nonpolyposis colorectal cancer; HNPCC) is an autosomal-dominant cancer predisposition syndrome that increases risk for multiple cancers, including colon, endometrial, and ovarian cancer. Revised Bethesda Criteria recommend that patients with two HNPCC-associated cancers undergo molecular evaluation to determine whether they have a mismatch repair (MMR) defect associated with HNPCC. The purpose of our study was to determine the likelihood of MMR defects (MSH2, MSH6, MLH1) in women with synchronous endometrial and ovarian cancer.\nPATIENTS AND METHODS: Between 1989 and 2004, 102 women with synchronous endometrial and ovarian cancers were identified; 59 patients had tumor blocks available for analysis. Patients were divided into risk groups based on family history: high (met Amsterdam criteria), medium (personal history or first-degree relative with an HNPCC-associated cancer), and low (all others). Protein expression for MSH2, MSH6, and MLH1 was evaluated by immunohistochemistry. Microsatellite instability and MLH1 promoter methylation analyses were performed on a subset of cases.\nRESULTS: Median age was 50 years. Two patients met Amsterdam criteria for HNPCC. Five additional patients, all medium-risk, had molecular findings consistent with a germline mutation of either MSH2 or MLH1. None of the low-risk patients had molecular results consistent with a germline mutation.", "long_answer": "Overall, 7% of women in our cohort met either clinical or molecular criteria for Lynch syndrome. All of these women had a prior history or a first-degree relative with an HNPCC-associated cancer. Limiting genetic evaluation to women with synchronous endometrial and ovarian cancer who have a family history suggestive of HNPCC may appropriately identify women with Lynch syndrome.", "answer": "maybe"}
+{"id": "pubmedqa_train_02", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 27818079, "prompt": "Question: Is the Retromandibular Transparotid Approach a Reliable Option for the Surgical Treatment of Condylar Fractures?\n\nContext:\nPURPOSE: This study evaluated the outcomes and complications of the surgical treatment of condylar fractures by the retromandibular transparotid approach. The authors hypothesized that such an approach would be safe and reliable for the treatment of most condylar fractures.\nMATERIALS AND METHODS: A retrospective evaluation of patients who underwent surgical reduction of a condylar fracture from January 2012 to December 2014 at the Clinic of Dentistry and Maxillofacial Surgery of the University Hospital of Verona (Verona, Italy) was performed. Inclusion criteria were having undergone surgical treatment of condylar fractures with a retromandibular transparotid approach and the availability of computed tomograms of the preoperative and postoperative facial skeleton with a minimum follow-up of 1 year. Static and dynamic occlusal function, temporomandibular joint health status, presence of neurologic impairments, and esthetic outcomes were evaluated in all patients.\nRESULTS: The sample was composed of 25 patients. Preinjury occlusion and temporomandibular joint health were restored in most patients. Esthetic outcomes were deemed satisfactory by clinicians and patients. Neither permanent neurologic impairments nor major postoperative complications were observed.", "question": "Is the Retromandibular Transparotid Approach a Reliable Option for the Surgical Treatment of Condylar Fractures?", "context": "PURPOSE: This study evaluated the outcomes and complications of the surgical treatment of condylar fractures by the retromandibular transparotid approach. The authors hypothesized that such an approach would be safe and reliable for the treatment of most condylar fractures.\nMATERIALS AND METHODS: A retrospective evaluation of patients who underwent surgical reduction of a condylar fracture from January 2012 to December 2014 at the Clinic of Dentistry and Maxillofacial Surgery of the University Hospital of Verona (Verona, Italy) was performed. Inclusion criteria were having undergone surgical treatment of condylar fractures with a retromandibular transparotid approach and the availability of computed tomograms of the preoperative and postoperative facial skeleton with a minimum follow-up of 1 year. Static and dynamic occlusal function, temporomandibular joint health status, presence of neurologic impairments, and esthetic outcomes were evaluated in all patients.\nRESULTS: The sample was composed of 25 patients. Preinjury occlusion and temporomandibular joint health were restored in most patients. Esthetic outcomes were deemed satisfactory by clinicians and patients. Neither permanent neurologic impairments nor major postoperative complications were observed.", "long_answer": "According to the results of the present study, the retromandibular transparotid approach is a viable and safe approach for the surgical treatment of condylar fractures.", "answer": "yes"}
+{"id": "pubmedqa_train_03", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 21166749, "prompt": "Question: Is patient outcome compromised during the initial experience with robot-assisted radical cystectomy?\n\nContext:\nOBJECTIVE: • Robot-assisted radical cystectomy (RARC) remains controversial in terms of oncologic outcomes, especially during the initial experience. The purpose of this study was to evaluate the impact of initial experience of robotic cystectomy programs on oncologic outcomes and overall survival.\nPATIENTS AND METHODS: • Utilizing a prospectively maintained, single institution robotic cystectomy database, we identified 164 consecutive patients who underwent RARC since November 2005. • After stratification by age group, gender, pathologic T stage, lymph node status, surgical margin status, and sequential case number; we used chi-squared analyses to correlate sequential case number to operative time, surgical blood loss, lymph node yield, and surgical margin status. • We also addressed the relationship between complications and sequential case number. We then utilized Cox proportional hazard modeling and Kaplan-Meier survival analyses to correlate variables to overall mortality.\nRESULTS: • Sequential case number was not significantly associated with increased incidence of complications, surgical blood loss, or positive surgical margins (P= 0.780, P= 0.548, P= 0.545). Case number was, however, significantly associated with shorter operative time and mean number of lymph nodes retrieved (P<0.001, P<0.001). • Sequential case number was not significantly associated with survival; however, tumour stage, the presence of lymph node metastases, and positive surgical margins were significantly associated with death. • Although being the largest of its kind, this was a small study with short follow-up when compared to open cystectomy series.", "question": "Is patient outcome compromised during the initial experience with robot-assisted radical cystectomy?", "context": "OBJECTIVE: • Robot-assisted radical cystectomy (RARC) remains controversial in terms of oncologic outcomes, especially during the initial experience. The purpose of this study was to evaluate the impact of initial experience of robotic cystectomy programs on oncologic outcomes and overall survival.\nPATIENTS AND METHODS: • Utilizing a prospectively maintained, single institution robotic cystectomy database, we identified 164 consecutive patients who underwent RARC since November 2005. • After stratification by age group, gender, pathologic T stage, lymph node status, surgical margin status, and sequential case number; we used chi-squared analyses to correlate sequential case number to operative time, surgical blood loss, lymph node yield, and surgical margin status. • We also addressed the relationship between complications and sequential case number. We then utilized Cox proportional hazard modeling and Kaplan-Meier survival analyses to correlate variables to overall mortality.\nRESULTS: • Sequential case number was not significantly associated with increased incidence of complications, surgical blood loss, or positive surgical margins (P= 0.780, P= 0.548, P= 0.545). Case number was, however, significantly associated with shorter operative time and mean number of lymph nodes retrieved (P<0.001, P<0.001). • Sequential case number was not significantly associated with survival; however, tumour stage, the presence of lymph node metastases, and positive surgical margins were significantly associated with death. • Although being the largest of its kind, this was a small study with short follow-up when compared to open cystectomy series.", "long_answer": "• Initial experience with RARC did not affect the incidence of positive surgical margins, operative/postoperative complications, or overall survival in a single-institution series.", "answer": "no"}
+{"id": "pubmedqa_train_04", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 15388567, "prompt": "Question: Are sports medicine journals relevant and applicable to practitioners and athletes?\n\nContext:\nOBJECTIVE: To examine the evidence base of sports medicine research and assess how relevant and applicable it is to everyday practice.\nMETHODS: Original research articles, short reports, and case reports published in four major sport and exercise medicine journals were studied and classified according to the main topic of study and type of subjects used.\nRESULTS: The most common topic was sports science, and very few studies related to the treatment of injuries and medical conditions. The majority of published articles used healthy subjects sampled from the sedentary population, and few studies have been carried out on injured participants.", "question": "Are sports medicine journals relevant and applicable to practitioners and athletes?", "context": "OBJECTIVE: To examine the evidence base of sports medicine research and assess how relevant and applicable it is to everyday practice.\nMETHODS: Original research articles, short reports, and case reports published in four major sport and exercise medicine journals were studied and classified according to the main topic of study and type of subjects used.\nRESULTS: The most common topic was sports science, and very few studies related to the treatment of injuries and medical conditions. The majority of published articles used healthy subjects sampled from the sedentary population, and few studies have been carried out on injured participants.", "long_answer": "There is a dearth of studies addressing diagnostic and treatment interventions in the sports medicine literature. The evidence base for sports medicine must continue to increase in terms of volume and quality.", "answer": "no"}
+{"id": "pubmedqa_train_05", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 23359100, "prompt": "Question: Is etoricoxib effective in preventing heterotopic ossification after primary total hip arthroplasty?\n\nContext:\nPURPOSE: Heterotopic ossification is a common complication after total hip arthroplasty. Non-steroidal anti-inflammatory drugs (NSAIDs) are known to prevent heterotopic ossifications effectively, however gastrointestinal complaints are reported frequently. In this study, we investigated whether etoricoxib, a selective cyclo-oxygenase-2 (COX-2) inhibitor that produces fewer gastrointestinal side effects, is an effective alternative for the prevention of heterotopic ossification.\nMETHODS: We investigated the effectiveness of oral etoricoxib 90 mg for seven days in a prospective two-stage study design for phase-2 clinical trials in a small sample of patients (n = 42). A cemented primary total hip arthroplasty was implanted for osteoarthritis. Six months after surgery, heterotopic ossification was determined on anteroposterior pelvic radiographs using the Brooker classification.\nRESULTS: No heterotopic ossification was found in 62 % of the patients that took etoricoxib; 31 % of the patients had Brooker grade 1 and 7 % Brooker grade 2 ossification.", "question": "Is etoricoxib effective in preventing heterotopic ossification after primary total hip arthroplasty?", "context": "PURPOSE: Heterotopic ossification is a common complication after total hip arthroplasty. Non-steroidal anti-inflammatory drugs (NSAIDs) are known to prevent heterotopic ossifications effectively, however gastrointestinal complaints are reported frequently. In this study, we investigated whether etoricoxib, a selective cyclo-oxygenase-2 (COX-2) inhibitor that produces fewer gastrointestinal side effects, is an effective alternative for the prevention of heterotopic ossification.\nMETHODS: We investigated the effectiveness of oral etoricoxib 90 mg for seven days in a prospective two-stage study design for phase-2 clinical trials in a small sample of patients (n = 42). A cemented primary total hip arthroplasty was implanted for osteoarthritis. Six months after surgery, heterotopic ossification was determined on anteroposterior pelvic radiographs using the Brooker classification.\nRESULTS: No heterotopic ossification was found in 62 % of the patients that took etoricoxib; 31 % of the patients had Brooker grade 1 and 7 % Brooker grade 2 ossification.", "long_answer": "Etoricoxib seems effective in preventing heterotopic ossification after total hip arthroplasty. This finding further supports the use of COX-2 inhibitors for the prevention of heterotopic ossification following total hip arthroplasty.", "answer": "yes"}
+{"id": "pubmedqa_train_06", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 25810292, "prompt": "Question: Is minimally invasive mitral valve repair with artificial chords reproducible and applicable in routine surgery?\n\nContext:\nOBJECTIVES: Traditional resectional techniques and chordal transfer are difficult to apply in video-assisted mitral valve repair. Using artificial chords appears easier in this setting. The purpose of this study was to review the effectiveness and reproducibility of neochordal repair as a routine approach to minimally invasive mitral repair, and to assess the stability of neochord implantation using the figure-of-eight suture without pledgets in this setting.\nMETHODS: This is a retrospective review of all patients who underwent minimally invasive video-assisted mitral valve repair from 2008 to 2013. The primary endpoints were recurrent mitral regurgitation and reoperation.\nRESULTS: A total of 426 consecutive patients were included during the study period, with a mean age of 55 ± 18 years. Neochords were used in all patients, and in association with leaflet resection in 47 patients. One patient was not repairable and underwent valve replacement (repair rate, 99.8%). Fifteen patients had Grade I (3.5%) regurgitation, whereas the remainder had none. Patients were fast-tracked, with 25% extubated in the operation theatre and the remainder within 6 h. There were 5 deaths within 30 days (1.2%). Follow-up ranged 3-60 months, during which all of the patients remained with no or trace mitral regurgitation. No de-insertion or rupture of any neochords was found, and no patients required a reoperation.", "question": "Is minimally invasive mitral valve repair with artificial chords reproducible and applicable in routine surgery?", "context": "OBJECTIVES: Traditional resectional techniques and chordal transfer are difficult to apply in video-assisted mitral valve repair. Using artificial chords appears easier in this setting. The purpose of this study was to review the effectiveness and reproducibility of neochordal repair as a routine approach to minimally invasive mitral repair, and to assess the stability of neochord implantation using the figure-of-eight suture without pledgets in this setting.\nMETHODS: This is a retrospective review of all patients who underwent minimally invasive video-assisted mitral valve repair from 2008 to 2013. The primary endpoints were recurrent mitral regurgitation and reoperation.\nRESULTS: A total of 426 consecutive patients were included during the study period, with a mean age of 55 ± 18 years. Neochords were used in all patients, and in association with leaflet resection in 47 patients. One patient was not repairable and underwent valve replacement (repair rate, 99.8%). Fifteen patients had Grade I (3.5%) regurgitation, whereas the remainder had none. Patients were fast-tracked, with 25% extubated in the operation theatre and the remainder within 6 h. There were 5 deaths within 30 days (1.2%). Follow-up ranged 3-60 months, during which all of the patients remained with no or trace mitral regurgitation. No de-insertion or rupture of any neochords was found, and no patients required a reoperation.", "long_answer": "Minimally invasive mitral valve repair using neochords provided a high rate of repair, reproducible results in a routine cardiac surgery setting and stable repair during follow-up. This has become our preferred technique for mitral valve surgery.", "answer": "yes"}
+{"id": "pubmedqa_train_07", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 17062225, "prompt": "Question: Thoracic and thoracoabdominal aneurysm repair: is reimplantation of spinal cord arteries a waste of time?\n\nContext:\nBACKGROUND: The impact of different strategies for management of intercostal and lumbar arteries during repair of thoracic and thoracoabdominal aortic aneurysms (TAA/A) on the prevention of paraplegia remains poorly understood.\nMETHODS: One hundred consecutive patients with intraoperative monitoring of motor evoked potentials (MEP) and somatosensory evoked potentials (SSEP) during TAA/A repair involving serial segmental artery sacrifice (October 2002 to December 2004) were reviewed.\nRESULTS: Operative mortality was 6%. The median intensive care unit stay was 2.5 days (IQ range: 1-4 days), and the median hospital stay 10.0 days (IQ range: 8-17 days). Potentials remained unchanged during the course of serial segmental artery sacrifice, or could be returned to baseline levels by anesthetic and blood pressure manipulation, in 99 of 100 cases. An average of 8.0 +/- 2.6 segmental artery pairs were sacrificed overall, with an average of 4.5 +/- 2.1 segmental pairs sacrificed between T7 and L1, where the artery of Adamkiewicz is presumed to arise. Postoperative paraplegia occurred in 2 patients. In 1, immediate paraplegia was precipitated by an intraoperative dissection, resulting in 6 hours of lower body ischemia. A second ambulatory patient had severe paraparesis albeit normal cerebral function after resuscitation from a respiratory arrest.", "question": "Thoracic and thoracoabdominal aneurysm repair: is reimplantation of spinal cord arteries a waste of time?", "context": "BACKGROUND: The impact of different strategies for management of intercostal and lumbar arteries during repair of thoracic and thoracoabdominal aortic aneurysms (TAA/A) on the prevention of paraplegia remains poorly understood.\nMETHODS: One hundred consecutive patients with intraoperative monitoring of motor evoked potentials (MEP) and somatosensory evoked potentials (SSEP) during TAA/A repair involving serial segmental artery sacrifice (October 2002 to December 2004) were reviewed.\nRESULTS: Operative mortality was 6%. The median intensive care unit stay was 2.5 days (IQ range: 1-4 days), and the median hospital stay 10.0 days (IQ range: 8-17 days). Potentials remained unchanged during the course of serial segmental artery sacrifice, or could be returned to baseline levels by anesthetic and blood pressure manipulation, in 99 of 100 cases. An average of 8.0 +/- 2.6 segmental artery pairs were sacrificed overall, with an average of 4.5 +/- 2.1 segmental pairs sacrificed between T7 and L1, where the artery of Adamkiewicz is presumed to arise. Postoperative paraplegia occurred in 2 patients. In 1, immediate paraplegia was precipitated by an intraoperative dissection, resulting in 6 hours of lower body ischemia. A second ambulatory patient had severe paraparesis albeit normal cerebral function after resuscitation from a respiratory arrest.", "long_answer": "With monitoring of MEP and SSEP, sacrifice--without reimplantation--of as many as 15 intercostal and lumbar arteries during TAA/A repair is safe, resulting in acceptably low rates of immediate and delayed paraplegia. This experience suggests that routine surgical implantation of segmental vessels is not indicated, and that, with evolving understanding of spinal cord perfusion, endovascular repair of the entire thoracic aorta should ultimately be possible without spinal cord injury.", "answer": "yes"}
+{"id": "pubmedqa_train_08", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 16249670, "prompt": "Question: Does the investing layer of the deep cervical fascia exist?\n\nContext:\nBACKGROUND: The placement of the superficial cervical plexus block has been the subject of controversy. Although the investing cervical fascia has been considered as an impenetrable barrier, clinically, the placement of the block deep or superficial to the fascia provides the same effective anesthesia. The underlying mechanism is unclear. The aim of this study was to investigate the three-dimensional organization of connective tissues in the anterior region of the neck.\nMETHODS: Using a combination of dissection, E12 sheet plastination, and confocal microscopy, fascial structures in the anterior cervical triangle were examined in 10 adult human cadavers.\nRESULTS: In the upper cervical region, the fascia of strap muscles in the middle and the fasciae of the submandibular glands on both sides formed a dumbbell-like fascia sheet that had free lateral margins and did not continue with the sternocleidomastoid fascia. In the lower cervical region, no single connective tissue sheet extended directly between the sternocleidomastoid muscles. The fascial structure deep to platysma in the anterior cervical triangle comprised the strap fascia.", "question": "Does the investing layer of the deep cervical fascia exist?", "context": "BACKGROUND: The placement of the superficial cervical plexus block has been the subject of controversy. Although the investing cervical fascia has been considered as an impenetrable barrier, clinically, the placement of the block deep or superficial to the fascia provides the same effective anesthesia. The underlying mechanism is unclear. The aim of this study was to investigate the three-dimensional organization of connective tissues in the anterior region of the neck.\nMETHODS: Using a combination of dissection, E12 sheet plastination, and confocal microscopy, fascial structures in the anterior cervical triangle were examined in 10 adult human cadavers.\nRESULTS: In the upper cervical region, the fascia of strap muscles in the middle and the fasciae of the submandibular glands on both sides formed a dumbbell-like fascia sheet that had free lateral margins and did not continue with the sternocleidomastoid fascia. In the lower cervical region, no single connective tissue sheet extended directly between the sternocleidomastoid muscles. The fascial structure deep to platysma in the anterior cervical triangle comprised the strap fascia.", "long_answer": "This study provides anatomical evidence to indicate that the so-called investing cervical fascia does not exist in the anterior triangle of the neck. Taking the previous reports together, the authors' findings strongly suggest that deep potential spaces in the neck are directly continuous with the subcutaneous tissue.", "answer": "no"}
+{"id": "pubmedqa_train_09", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 28011794, "prompt": "Question: Can Ambu self-inflating bag and Neopuff infant resuscitator provide adequate and safe manual inflations for infants up to 10 kg weight?\n\nContext:\nBACKGROUND: Manual resuscitation devices for infants and newborns must be able to provide adequate ventilation in a safe and consistent manner across a wide range of patient sizes (0.5-10 kg) and differing clinical states. There are little comparative data assessing biomechanical performance of common infant manual resuscitation devices across the manufacturers' recommended operating weight ranges. We aimed to compare performance of the Ambu self-inflating bag (SIB) with the Neopuff T-piece resuscitator in three resuscitation models.\nMETHODS: Five experienced clinicians delivered targeted ventilation to three lung models differing in compliance, delivery pressures and inflation rates; Preterm (0.5 mL/cmH2O, 25/5 cmH2O, 60 per minute), Term (3 mL/cmH2O, 30/5 cmH2O, 40 per minute) and Infant (9 mL/cmH2O, 35/5 cmH2O, 30 per minute). The Neopuff was examined with three gas inflow rates (5 litres per minute (LPM), 10 LPM and 15 LPM) and the Ambu with no gas inflow.\nRESULTS: 3309 inflations were collected and analysed with analysis of variance for repeated measures. The Neopuff was unable to reach set peak inflation pressures and exhibited seriously elevated positive end expiratory pressure (PEEP) with all inflow gas rates (p<0.001) in this infant model. The Ambu SIB accurately delivered targeted pressures in all three models.", "question": "Can Ambu self-inflating bag and Neopuff infant resuscitator provide adequate and safe manual inflations for infants up to 10 kg weight?", "context": "BACKGROUND: Manual resuscitation devices for infants and newborns must be able to provide adequate ventilation in a safe and consistent manner across a wide range of patient sizes (0.5-10 kg) and differing clinical states. There are little comparative data assessing biomechanical performance of common infant manual resuscitation devices across the manufacturers' recommended operating weight ranges. We aimed to compare performance of the Ambu self-inflating bag (SIB) with the Neopuff T-piece resuscitator in three resuscitation models.\nMETHODS: Five experienced clinicians delivered targeted ventilation to three lung models differing in compliance, delivery pressures and inflation rates; Preterm (0.5 mL/cmH2O, 25/5 cmH2O, 60 per minute), Term (3 mL/cmH2O, 30/5 cmH2O, 40 per minute) and Infant (9 mL/cmH2O, 35/5 cmH2O, 30 per minute). The Neopuff was examined with three gas inflow rates (5 litres per minute (LPM), 10 LPM and 15 LPM) and the Ambu with no gas inflow.\nRESULTS: 3309 inflations were collected and analysed with analysis of variance for repeated measures. The Neopuff was unable to reach set peak inflation pressures and exhibited seriously elevated positive end expiratory pressure (PEEP) with all inflow gas rates (p<0.001) in this infant model. The Ambu SIB accurately delivered targeted pressures in all three models.", "long_answer": "The Ambu SIB was able to accurately deliver targeted pressures across all three models from preterm to infant. The Neopuff infant resuscitator was unable to deliver the targeted pressures in the infant model developing clinically significant levels of inadvertent PEEP which may pose risk during infant resuscitation.", "answer": "maybe"}
+{"id": "pubmedqa_train_10", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 17578985, "prompt": "Question: Parasacral sciatic nerve block: does the elicited motor response predict the success rate?\n\nContext:\nBACKGROUND: In this prospective, randomized, double-blind study, we compared the tibial and the peroneal evoked motor response with regard to efficacy of sciatic nerve block using the parasacral approach.\nMETHODS: Twenty-six ASA I-III patients scheduled for elective lower limb surgery were randomized to receive a parasacral sciatic block, using a nerve stimulator technique seeking either a tibial (n = 14) or peroneal (n = 12) motor response. After the evoked motor response was obtained, a solution of 10 mL 2% lidocaine with epinephrine and 10 mL 0.75% ropivacaine (actual final concentration of epinephrine, 1/160,000) was slowly injected through the needle. Sensory and motor blocks were assessed every 5 min for 30 min by an anesthesiologist blinded to the elicited motor response. If the block was not complete 30 min after injection of the local anesthetics, it was considered as failed, and general anesthesia was supplemented.\nRESULTS: Time to perform the block and level of minimal and maximal stimulation were not different between groups. The success rate of complete block was significantly higher in the tibial compared to the peroneal group (11 of 14 vs 2 of 12; P = 0.002).", "question": "Parasacral sciatic nerve block: does the elicited motor response predict the success rate?", "context": "BACKGROUND: In this prospective, randomized, double-blind study, we compared the tibial and the peroneal evoked motor response with regard to efficacy of sciatic nerve block using the parasacral approach.\nMETHODS: Twenty-six ASA I-III patients scheduled for elective lower limb surgery were randomized to receive a parasacral sciatic block, using a nerve stimulator technique seeking either a tibial (n = 14) or peroneal (n = 12) motor response. After the evoked motor response was obtained, a solution of 10 mL 2% lidocaine with epinephrine and 10 mL 0.75% ropivacaine (actual final concentration of epinephrine, 1/160,000) was slowly injected through the needle. Sensory and motor blocks were assessed every 5 min for 30 min by an anesthesiologist blinded to the elicited motor response. If the block was not complete 30 min after injection of the local anesthetics, it was considered as failed, and general anesthesia was supplemented.\nRESULTS: Time to perform the block and level of minimal and maximal stimulation were not different between groups. The success rate of complete block was significantly higher in the tibial compared to the peroneal group (11 of 14 vs 2 of 12; P = 0.002).", "long_answer": "Eliciting a tibial motor response predicts a higher success rate than eliciting a peroneal motor response with parasacral sciatic nerve block.", "answer": "maybe"}
+{"id": "pubmedqa_train_11", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 21756515, "prompt": "Question: Does solid culture for tuberculosis influence clinical decision making in India?\n\nContext:\nSETTING: Medical units at an academic tertiary referral hospital in Southern India.\nOBJECTIVE: To investigate the impact of solid culture on Löwenstein-Jensen medium on clinical decision making.\nDESIGN: In a retrospective review of 150 culture-positive and 150 culture-negative consecutively sampled tuberculosis (TB) suspects, treatment decisions were analysed at presentation, after the availability of culture detection results and after the availability of drug susceptibility testing (DST) culture results.\nRESULTS: A total of 124 (82.7%) culture-positive patients and 35 (23.3%) culture-negative patients started anti-tuberculosis treatment prior to receiving their culture results; 101 patients (33.7%) returned for their results; two (1.3%) initiated treatment based on positive culture and no culture-negative patients discontinued treatment. DST was performed on 119 (79.3%) positive cultures: 30 (25.2%) showed any resistance, eight (6.7%) showed multidrug resistance and one (0.84%) showed extensively drug-resistant TB. Twenty-eight patients (23.5%) returned for their DST results. Based on DST, treatment was modified in four patients (3.4%).", "question": "Does solid culture for tuberculosis influence clinical decision making in India?", "context": "SETTING: Medical units at an academic tertiary referral hospital in Southern India.\nOBJECTIVE: To investigate the impact of solid culture on Löwenstein-Jensen medium on clinical decision making.\nDESIGN: In a retrospective review of 150 culture-positive and 150 culture-negative consecutively sampled tuberculosis (TB) suspects, treatment decisions were analysed at presentation, after the availability of culture detection results and after the availability of drug susceptibility testing (DST) culture results.\nRESULTS: A total of 124 (82.7%) culture-positive patients and 35 (23.3%) culture-negative patients started anti-tuberculosis treatment prior to receiving their culture results; 101 patients (33.7%) returned for their results; two (1.3%) initiated treatment based on positive culture and no culture-negative patients discontinued treatment. DST was performed on 119 (79.3%) positive cultures: 30 (25.2%) showed any resistance, eight (6.7%) showed multidrug resistance and one (0.84%) showed extensively drug-resistant TB. Twenty-eight patients (23.5%) returned for their DST results. Based on DST, treatment was modified in four patients (3.4%).", "long_answer": "Using solid culture, 150 cultures need to be tested for one treatment modification and 30 for DST. The cost of the widespread application of culture will need to be balanced against its impact on treatment decisions in India.", "answer": "maybe"}
+{"id": "pubmedqa_train_12", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 25480629, "prompt": "Question: Residual fundus or neofundus after laparoscopic sleeve gastrectomy: is fundectomy safe and effective as revision surgery?\n\nContext:\nINTRODUCTION: Up to 30 % of patients who have undergone laparoscopic sleeve gastrectomy require revision surgery for inadequate weight loss, weight regain, and/or the development of severe upper gastrointestinal symptoms. The aim of this retrospective study was to evaluate the safety and efficacy of laparoscopic fundectomy (LF) in cases of a residual fundus/neofundus development regarding GERD symptoms.\nMETHODS: The study group comprised 19 patients (17 female; mean BMI 35.4 kg/m(2)) divided into 2 groups. Group A (n = 10) patients with severe GERD and evidence of residual fundus/neofundus, Hiatal hernia with good results in terms of weight loss. Group B (n = 9) patients with severe GERD, a residual fundus/neofundus, inadequate weight loss or weight regain. Fundectomy was indicated when a residual fundus/neofundus was associated with severe GERD symptoms. The presence of a residual fundus/neofundus was assessed by a barium swallow and/or multislice computed tomography.\nRESULTS: No mortality or intra-operative complications occurred. Five postoperative complications occurred: 2 cases of bleeding, 1 mid-gastric stenosis and 2 leaks (10.5 %). All patients experienced improvements in their GERD symptoms and stopped PPI treatment. Group B exhibited an additional %EWL of 53.4 % at 24 months.", "question": "Residual fundus or neofundus after laparoscopic sleeve gastrectomy: is fundectomy safe and effective as revision surgery?", "context": "INTRODUCTION: Up to 30 % of patients who have undergone laparoscopic sleeve gastrectomy require revision surgery for inadequate weight loss, weight regain, and/or the development of severe upper gastrointestinal symptoms. The aim of this retrospective study was to evaluate the safety and efficacy of laparoscopic fundectomy (LF) in cases of a residual fundus/neofundus development regarding GERD symptoms.\nMETHODS: The study group comprised 19 patients (17 female; mean BMI 35.4 kg/m(2)) divided into 2 groups. Group A (n = 10) patients with severe GERD and evidence of residual fundus/neofundus, Hiatal hernia with good results in terms of weight loss. Group B (n = 9) patients with severe GERD, a residual fundus/neofundus, inadequate weight loss or weight regain. Fundectomy was indicated when a residual fundus/neofundus was associated with severe GERD symptoms. The presence of a residual fundus/neofundus was assessed by a barium swallow and/or multislice computed tomography.\nRESULTS: No mortality or intra-operative complications occurred. Five postoperative complications occurred: 2 cases of bleeding, 1 mid-gastric stenosis and 2 leaks (10.5 %). All patients experienced improvements in their GERD symptoms and stopped PPI treatment. Group B exhibited an additional %EWL of 53.4 % at 24 months.", "long_answer": "LF and cruroplasty is feasible and has good results in terms of GERD symptoms control and additional weight loss. The high rate of postoperative complications observed in this series remains a matter of concern. A re-sleeve procedure might be considered as an alternative to RYGB/DS conversion restricted to selected patients.", "answer": "maybe"}
+{"id": "pubmedqa_train_13", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 22825590, "prompt": "Question: Are behavioural risk factors to be blamed for the conversion from optimal blood pressure to hypertensive status in Black South Africans?\n\nContext:\nBACKGROUND: Longitudinal cohort studies in sub-Saharan Africa are urgently needed to understand cardiovascular disease development. We, therefore, explored health behaviours and conventional risk factors of African individuals with optimal blood pressure (BP) (≤ 120/80 mm Hg), and their 5-year prediction for the development of hypertension.\nMETHODS: The Prospective Urban Rural Epidemiology study in the North West Province, South Africa, started in 2005 and included African volunteers (n = 1994; aged>30 years) from a sample of 6000 randomly selected households in rural and urban areas.\nRESULTS: At baseline, 48% of the participants were hypertensive (≥ 140/90 mmHg). Those with optimal BP (n = 478) were followed at a success rate of 70% for 5 years (213 normotensive, 68 hypertensive, 57 deceased). Africans that became hypertensive smoked more than the normotensive individuals (68.2% vs 49.8%), and they also had a greater waist circumference [ratio of geometric means of 0.94 cm (95% CI: 0.86-0.99)] and greater amount of γ-glutamyltransferase [0.74 U/l (95% CI: 0.62-0.88)]at baseline. The 5-year change in BP was independently explained by baseline γ-glutamyltransferase [R(2) = 0.23, β = 0.13 U/l (95% CI: 0.01-0.19)]. Alcohol intake also predicted central systolic BP and carotid cross-sectional wall area (CSWA) at follow-up. Waist circumference was another predictor of BP changes [β = 0.18 cm (95% CI: 0.05-0.24)]and CSWA. HIV infection was inversely associated with increased BP.", "question": "Are behavioural risk factors to be blamed for the conversion from optimal blood pressure to hypertensive status in Black South Africans?", "context": "BACKGROUND: Longitudinal cohort studies in sub-Saharan Africa are urgently needed to understand cardiovascular disease development. We, therefore, explored health behaviours and conventional risk factors of African individuals with optimal blood pressure (BP) (≤ 120/80 mm Hg), and their 5-year prediction for the development of hypertension.\nMETHODS: The Prospective Urban Rural Epidemiology study in the North West Province, South Africa, started in 2005 and included African volunteers (n = 1994; aged>30 years) from a sample of 6000 randomly selected households in rural and urban areas.\nRESULTS: At baseline, 48% of the participants were hypertensive (≥ 140/90 mmHg). Those with optimal BP (n = 478) were followed at a success rate of 70% for 5 years (213 normotensive, 68 hypertensive, 57 deceased). Africans that became hypertensive smoked more than the normotensive individuals (68.2% vs 49.8%), and they also had a greater waist circumference [ratio of geometric means of 0.94 cm (95% CI: 0.86-0.99)] and greater amount of γ-glutamyltransferase [0.74 U/l (95% CI: 0.62-0.88)]at baseline. The 5-year change in BP was independently explained by baseline γ-glutamyltransferase [R(2) = 0.23, β = 0.13 U/l (95% CI: 0.01-0.19)]. Alcohol intake also predicted central systolic BP and carotid cross-sectional wall area (CSWA) at follow-up. Waist circumference was another predictor of BP changes [β = 0.18 cm (95% CI: 0.05-0.24)]and CSWA. HIV infection was inversely associated with increased BP.", "long_answer": "During the 5 years, 24% of Africans with optimal BP developed hypertension. The surge in hypertension in Africa is largely explained by modifiable risk factors. Public health strategies should focus aggressively on lifestyle to prevent a catastrophic burden on the national health system.", "answer": "yes"}
+{"id": "pubmedqa_train_14", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 18274917, "prompt": "Question: Prognosis of low-tone sudden deafness - does it inevitably progress to Meniere's disease?\n\nContext:\nOBJECTIVES: To investigate whether low-tone SD was a precursor of Meniere's disease and whether patients with low-tone SD suffered from endolymphatic hydrops.\nPATIENTS AND METHODS: This was a retrospective case review in the university hospital. A total of 184 patients with low-tone SD were divided into two groups with single and recurrent episodes. The progress, follow-up audiograms, and ECochG results of the patients were reviewed and compared with those of patients with high-tone SD and Meniere's disease.\nRESULTS: In all, 83 of 177 patients with low-tone SD unaccompanied by vertigo had recurrent hearing loss; 15 of the 83 developed vertiginous attacks. The remaining 94 patients had a single episode. Three of the seven patients with low-tone SD accompanied by vertigo had recurrent hearing loss; two of the three were subsequently confirmed to have Meniere's disease. The other four had a single episode. No difference in rate of progress from SD to Meniere's disease was observed among the low-tone and the high-tone SD groups. The average -SP/AP of each group with a single episode is smaller than that of other groups with recurrent episodes and Meniere's disease.", "question": "Prognosis of low-tone sudden deafness - does it inevitably progress to Meniere's disease?", "context": "OBJECTIVES: To investigate whether low-tone SD was a precursor of Meniere's disease and whether patients with low-tone SD suffered from endolymphatic hydrops.\nPATIENTS AND METHODS: This was a retrospective case review in the university hospital. A total of 184 patients with low-tone SD were divided into two groups with single and recurrent episodes. The progress, follow-up audiograms, and ECochG results of the patients were reviewed and compared with those of patients with high-tone SD and Meniere's disease.\nRESULTS: In all, 83 of 177 patients with low-tone SD unaccompanied by vertigo had recurrent hearing loss; 15 of the 83 developed vertiginous attacks. The remaining 94 patients had a single episode. Three of the seven patients with low-tone SD accompanied by vertigo had recurrent hearing loss; two of the three were subsequently confirmed to have Meniere's disease. The other four had a single episode. No difference in rate of progress from SD to Meniere's disease was observed among the low-tone and the high-tone SD groups. The average -SP/AP of each group with a single episode is smaller than that of other groups with recurrent episodes and Meniere's disease.", "long_answer": "We conclude that not all low-tone sudden deafness (SD) patients suffered from endolymphatic hydrops even if they had vertigo attack at the onset and that electrocochleography (ECochG) was a useful prognostic tool.", "answer": "no"}
+{"id": "pubmedqa_train_15", "benchmark": "pubmedqa", "source_repo": "qiaojin/PubMedQA", "source_config": "pqa_labeled", "source_split": "train", "source_pubid": 15280782, "prompt": "Question: Is unsafe sexual behaviour increasing among HIV-infected individuals?\n\nContext:\nBACKGROUND: The number of new diagnoses of HIV infection is rising in the northwestern hemisphere and it is becoming increasingly important to understand the mechanisms behind this trend.\nOBJECTIVE: To evaluate whether reported unsafe sexual behaviour among HIV- infected individuals is changing over time.\nDESIGN: Participants in the Swiss HIV Cohort Study were asked about their sexual practices every 6 months for 3 years during regular follow-up of the cohort beginning on 1 April 2000.\nMETHODS: : Logistic regression models were fit using generalized estimating equations assuming a constant correlation between responses from the same individual.\nRESULTS: At least one sexual behaviour questionnaire was obtained for 6545 HIV-infected individuals and the median number of questionnaires completed per individual was five. There was no evidence of an increase in reported unsafe sex over time in this population [odds ratio (OR), 1.0; 95% confidence interval (CI), 0.96-1.05]. Females (OR, 1.38; 95% CI, 1.19-1.60), 15-30 year olds (OR, 1.26; 95% CI, 1.09-1.47), those with HIV-positive partners (OR, 12.58; 95% CI, 10.84-14.07) and those with occasional partners (OR, 3.25; 95% CI, 2.87-3.67) were more likely to report unsafe sex. There was no evidence of a response bias over time, but individuals were less willing to leave questions about their sexual behaviour unanswered or ambiguous (OR, 0.93; 95% CI, 0.90-0.97).", "question": "Is unsafe sexual behaviour increasing among HIV-infected individuals?", "context": "BACKGROUND: The number of new diagnoses of HIV infection is rising in the northwestern hemisphere and it is becoming increasingly important to understand the mechanisms behind this trend.\nOBJECTIVE: To evaluate whether reported unsafe sexual behaviour among HIV- infected individuals is changing over time.\nDESIGN: Participants in the Swiss HIV Cohort Study were asked about their sexual practices every 6 months for 3 years during regular follow-up of the cohort beginning on 1 April 2000.\nMETHODS: : Logistic regression models were fit using generalized estimating equations assuming a constant correlation between responses from the same individual.\nRESULTS: At least one sexual behaviour questionnaire was obtained for 6545 HIV-infected individuals and the median number of questionnaires completed per individual was five. There was no evidence of an increase in reported unsafe sex over time in this population [odds ratio (OR), 1.0; 95% confidence interval (CI), 0.96-1.05]. Females (OR, 1.38; 95% CI, 1.19-1.60), 15-30 year olds (OR, 1.26; 95% CI, 1.09-1.47), those with HIV-positive partners (OR, 12.58; 95% CI, 10.84-14.07) and those with occasional partners (OR, 3.25; 95% CI, 2.87-3.67) were more likely to report unsafe sex. There was no evidence of a response bias over time, but individuals were less willing to leave questions about their sexual behaviour unanswered or ambiguous (OR, 0.93; 95% CI, 0.90-0.97).", "long_answer": "There was no evidence of a trend in unsafe sex behaviour over time. However, several subgroups were identified as being more likely to report unsafe sex and should be targeted for specific interventions.", "answer": "no"}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/iteration_01/baseline/instruct/aime_predictions.jsonl

@@ -0,0 +1,9 @@
+{"id": "aime_eval_01", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 0, "prompt": "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 $2$ miles per hour faster than Patrick walked, Jose bicycled at a constant rate of $7$ miles per hour faster than Tanya ran, and all three arrived at the park at the same time. The distance from the school to the park is $\\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $2$ miles per hour faster than Patrick walked, Jose bicycled at a constant rate of $7$ miles per hour faster than Tanya ran, and all three arrived at the park at the same time. The distance from the school to the park is $\\frac{m}{n}$ miles, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.", "answer": "277", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Let Patrick’s walking speed be $ v $ mph.  \nThen Tanya’s running speed is $ v + 2 $ mph.  \nJose’s bicycling speed is $ (v + 2) + 7 = v + 9 $ mph.\n\nLet the distance from school to park be $ D $ miles.\n\nPatrick starts at time 0.  \nTanya starts 1 hour later, so at time 1.  \nJose starts 2 hours later, so at time 2.\n\nAll arrive at the same time. Let that time be $ T $.\n\nThen:\n- Patrick walks for $ T $ hours: $ D = vT $\n- Tanya runs for $ T - 1 $ hours: $ D = (v + 2)(T - 1) $\n- Jose bikes for $ T - 2 $ hours: $ D = (v + 9)(T - 2) $\n\nSet the expressions for $ D $ equal:\n\nFrom Patrick and Tanya:\n$$\nvT = (v + 2)(T - 1)\n$$\nExpand right side:\n$$\nvT = v(T - 1) + 2(T - 1) = vT - v + 2T - 2\n$$\nSubtract $ vT $ from both sides:\n$$\n0 = -v + 2T - 2 \\Rightarrow v = 2T - 2 \\quad \\text{(1)}\n$$\n\nNow use Patrick and Jose:\n$$\nvT = (v + 9)(T - 2)\n$$\nExpand right:\n$$\nvT = v(T - 2) + 9(T - 2) = vT - 2v + 9T - 18\n$$\nSubtract $ vT $:\n$$\n0 = -2v + 9T -", "visible_output": "Let Patrick’s walking speed be $ v $ mph.  \nThen Tanya’s running speed is $ v + 2 $ mph.  \nJose’s bicycling speed is $ (v + 2) + 7 = v + 9 $ mph.\n\nLet the distance from school to park be $ D $ miles.\n\nPatrick starts at time 0.  \nTanya starts 1 hour later, so at time 1.  \nJose starts 2 hours later, so at time 2.\n\nAll arrive at the same time. Let that time be $ T $.\n\nThen:\n- Patrick walks for $ T $ hours: $ D = vT $\n- Tanya runs for $ T - 1 $ hours: $ D = (v + 2)(T - 1) $\n- Jose bikes for $ T - 2 $ hours: $ D = (v + 9)(T - 2) $\n\nSet the expressions for $ D $ equal:\n\nFrom Patrick and Tanya:\n$$\nvT = (v + 2)(T - 1)\n$$\nExpand right side:\n$$\nvT = v(T - 1) + 2(T - 1) = vT - v + 2T - 2\n$$\nSubtract $ vT $ from both sides:\n$$\n0 = -v + 2T - 2 \\Rightarrow v = 2T - 2 \\quad \\text{(1)}\n$$\n\nNow use Patrick and Jose:\n$$\nvT = (v + 9)(T - 2)\n$$\nExpand right:\n$$\nvT = v(T - 2) + 9(T - 2) = vT - 2v + 9T - 18\n$$\nSubtract $ vT $:\n$$\n0 = -2v + 9T -", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_02", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 1, "prompt": "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.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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.", "answer": "62", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are to find the number of **positive integer palindromes in base 10** with:\n\n- **No zero digits**\n- **Digits summing to 13**\n\n---\n\n**Step 1: Palindromes have symmetric digits**  \nA palindrome reads the same forwards and backwards. So, once we choose the digits on the left half (including the middle digit for odd length), the right half is determined.\n\n---\n\n**Step 2: No zero digits → all digits ∈ {1,2,...,9}**  \nEach digit must be from 1 to 9. We are summing digits to 13, and each digit ≥1.\n\n---\n\n**Step 3: Consider possible lengths**  \nLet’s consider the possible number of digits: 1-digit, 2-digit, 3-digit, etc.\n\n- **1-digit**: digits sum to 13 → only possible if digit is 13 → invalid (max digit is 9).  \n  ❌ No solution.\n\n- **2-digit**: palindrome must be of form `aa`. Digit sum = 2a = 13 → a = 6.5 → not integer.  \n  ❌ No solution.\n\n- **3-digit**: form `aba`, digits: a, b, a → sum = 2a + b = 13  \n  a ∈ {1,...,9}, b ∈ {1,...,9}  \n  So 2a + b = 13 → b = 13 - 2a  \n  b ≥ 1 → 13 - 2a ≥ 1 → 2a ≤ 12 → a ≤ 6  \n  b ≤ 9 → 13 - 2a ≤ 9 → 2a ≥ 4 → a ≥ 2  \n  So a ∈ {2,", "visible_output": "We are to find the number of **positive integer palindromes in base 10** with:\n\n- **No zero digits**\n- **Digits summing to 13**\n\n---\n\n**Step 1: Palindromes have symmetric digits**  \nA palindrome reads the same forwards and backwards. So, once we choose the digits on the left half (including the middle digit for odd length), the right half is determined.\n\n---\n\n**Step 2: No zero digits → all digits ∈ {1,2,...,9}**  \nEach digit must be from 1 to 9. We are summing digits to 13, and each digit ≥1.\n\n---\n\n**Step 3: Consider possible lengths**  \nLet’s consider the possible number of digits: 1-digit, 2-digit, 3-digit, etc.\n\n- **1-digit**: digits sum to 13 → only possible if digit is 13 → invalid (max digit is 9).  \n  ❌ No solution.\n\n- **2-digit**: palindrome must be of form `aa`. Digit sum = 2a = 13 → a = 6.5 → not integer.  \n  ❌ No solution.\n\n- **3-digit**: form `aba`, digits: a, b, a → sum = 2a + b = 13  \n  a ∈ {1,...,9}, b ∈ {1,...,9}  \n  So 2a + b = 13 → b = 13 - 2a  \n  b ≥ 1 → 13 - 2a ≥ 1 → 2a ≤ 12 → a ≤ 6  \n  b ≤ 9 → 13 - 2a ≤ 9 → 2a ≥ 4 → a ≥ 2  \n  So a ∈ {2,", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_03", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 2, "prompt": "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 area of $\\mathcal T$ divided by the area of the disk is $\\tfrac pq,$ where $p$ and $q$ are relatively prime positive integers. Find $p+q.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 area of $\\mathcal T$ divided by the area of the disk is $\\tfrac pq,$ where $p$ and $q$ are relatively prime positive integers. Find $p+q.$", "answer": "79", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given:\n\n- A hemisphere of radius 200 sitting on top of a circular disk of radius 200, both centered at the same point.\n- We want to find the set 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**.\n- We are to compute the area of this region $ \\mathcal{T} $, divide by the area of the disk, and express the result as $ \\frac{p}{q} $ in lowest terms, then find $ p+q $.\n\n---\n\n**Step 1: Understand the geometry.**\n\nThe hemisphere sits on the disk, so the flat face of the hemisphere is the disk, and the curved part extends upward. A sphere of radius 42 is placed **on top of the disk** at point $ P $, meaning its center is at height 42 above $ P $, and it must lie **entirely within the hemisphere**.\n\nSo, the center of the sphere is at $ (x, y, 42) $ if $ P = (x, y, 0) $.\n\nFor the sphere to lie completely inside the hemisphere, every point on the sphere must be inside or on the hemisphere.\n\nThe hemisphere is the set of points $ (x, y, z) $ such that $ x^2 + y^2 + z^2 \\leq 200^2 $, $ z \\geq 0 $.\n\nSo, the farthest point of the sphere from the origin (in the upward direction) is the top of the sphere: $ (x, y, 42 + 42) = (x, y, 84) $, and the farthest point in the radial", "visible_output": "We are given:\n\n- A hemisphere of radius 200 sitting on top of a circular disk of radius 200, both centered at the same point.\n- We want to find the set 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**.\n- We are to compute the area of this region $ \\mathcal{T} $, divide by the area of the disk, and express the result as $ \\frac{p}{q} $ in lowest terms, then find $ p+q $.\n\n---\n\n**Step 1: Understand the geometry.**\n\nThe hemisphere sits on the disk, so the flat face of the hemisphere is the disk, and the curved part extends upward. A sphere of radius 42 is placed **on top of the disk** at point $ P $, meaning its center is at height 42 above $ P $, and it must lie **entirely within the hemisphere**.\n\nSo, the center of the sphere is at $ (x, y, 42) $ if $ P = (x, y, 0) $.\n\nFor the sphere to lie completely inside the hemisphere, every point on the sphere must be inside or on the hemisphere.\n\nThe hemisphere is the set of points $ (x, y, z) $ such that $ x^2 + y^2 + z^2 \\leq 200^2 $, $ z \\geq 0 $.\n\nSo, the farthest point of the sphere from the origin (in the upward direction) is the top of the sphere: $ (x, y, 42 + 42) = (x, y, 84) $, and the farthest point in the radial", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_04", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 3, "prompt": "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.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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.", "answer": "70", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given that a number $ n \\leq 100 $ is of the form $ a + b + ab $ for distinct positive integers $ a $ and $ b $.\n\nStep 1: Note that $ a + b + ab = (a+1)(b+1) - 1 $.  \nThis is a standard algebraic identity:  \n$ (a+1)(b+1) = ab + a + b + 1 $, so subtracting 1 gives $ ab + a + b $.\n\nSo, $ a + b + ab = (a+1)(b+1) - 1 $.\n\nStep 2: Let $ x = a+1 $, $ y = b+1 $. Since $ a, b \\geq 1 $, $ x, y \\geq 2 $.  \nThen $ a + b + ab = xy - 1 $.  \nWe want $ xy - 1 \\leq 100 $, so $ xy \\leq 101 $.  \nAlso, since $ a \\neq b $, $ x \\neq y $ (because $ a+1 \\neq b+1 $).\n\nStep 3: Count the number of distinct integers $ n = xy - 1 \\leq 100 $ with $ x, y \\geq 2 $, $ x \\neq y $, and $ xy \\leq 101 $.  \nWe want to count the distinct values of $ xy - 1 $, not the number of pairs.\n\nSo we consider all unordered pairs $ (x, y) $ with $ x \\neq y $, $ x, y \\geq 2 $, $ xy \\leq 101 $, and collect the values $ xy - 1 $.\n\nBut", "visible_output": "We are given that a number $ n \\leq 100 $ is of the form $ a + b + ab $ for distinct positive integers $ a $ and $ b $.\n\nStep 1: Note that $ a + b + ab = (a+1)(b+1) - 1 $.  \nThis is a standard algebraic identity:  \n$ (a+1)(b+1) = ab + a + b + 1 $, so subtracting 1 gives $ ab + a + b $.\n\nSo, $ a + b + ab = (a+1)(b+1) - 1 $.\n\nStep 2: Let $ x = a+1 $, $ y = b+1 $. Since $ a, b \\geq 1 $, $ x, y \\geq 2 $.  \nThen $ a + b + ab = xy - 1 $.  \nWe want $ xy - 1 \\leq 100 $, so $ xy \\leq 101 $.  \nAlso, since $ a \\neq b $, $ x \\neq y $ (because $ a+1 \\neq b+1 $).\n\nStep 3: Count the number of distinct integers $ n = xy - 1 \\leq 100 $ with $ x, y \\geq 2 $, $ x \\neq y $, and $ xy \\leq 101 $.  \nWe want to count the distinct values of $ xy - 1 $, not the number of pairs.\n\nSo we consider all unordered pairs $ (x, y) $ with $ x \\neq y $, $ x, y \\geq 2 $, $ xy \\leq 101 $, and collect the values $ xy - 1 $.\n\nBut", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_05", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 4, "prompt": "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 $AB^\\prime = \\frac{4}{3}$. The value of $\\cos \\theta$ can be written as $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $AB^\\prime = \\frac{4}{3}$. The value of $\\cos \\theta$ can be written as $\\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. Find $m + n$.", "answer": "65", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given:\n\n- $ AB = 1 $\n- $ A $ is rotated counterclockwise by angle $ \\theta $ around $ B $ to get $ A' $\n- $ B $ is then rotated clockwise by angle $ \\theta $ around $ A' $ to get $ B' $\n- $ AB' = \\frac{4}{3} $\n- We are to find $ \\cos \\theta = \\frac{m}{n} $, with $ m, n $ coprime, and compute $ m+n $\n\n---\n\n**Step 1: Use rotation geometry**\n\nRotation preserves distances. So:\n\n- Since $ A $ is rotated about $ B $ by $ \\theta $, we have $ BA' = AB = 1 $\n- Also, triangle $ ABA' $ is isosceles with $ AB = BA' = 1 $, angle at $ B $ is $ \\theta $\n- So, by the Law of Cosines in triangle $ ABA' $:\n  $$\n  AA'^2 = AB^2 + BA'^2 - 2 \\cdot AB \\cdot BA' \\cdot \\cos \\theta = 1 + 1 - 2\\cos\\theta = 2(1 - \\cos\\theta)\n  $$\n\n---\n\n**Step 2: Now rotate $ B $ about $ A' $ by $ -\\theta $ (clockwise)**\n\nAfter this rotation, $ B $ goes to $ B' $, and since rotation preserves distances:\n\n- $ A'B' = AB = 1 $\n- $ AB' = \\frac{4}{3} $ (given)\n\nSo in triangle $ A'B'B $, we have:\n- $ A'B' = 1 $\n- $ AB' = \\frac{4}{3} $\n- $ A'B = 1 $ (since $", "visible_output": "We are given:\n\n- $ AB = 1 $\n- $ A $ is rotated counterclockwise by angle $ \\theta $ around $ B $ to get $ A' $\n- $ B $ is then rotated clockwise by angle $ \\theta $ around $ A' $ to get $ B' $\n- $ AB' = \\frac{4}{3} $\n- We are to find $ \\cos \\theta = \\frac{m}{n} $, with $ m, n $ coprime, and compute $ m+n $\n\n---\n\n**Step 1: Use rotation geometry**\n\nRotation preserves distances. So:\n\n- Since $ A $ is rotated about $ B $ by $ \\theta $, we have $ BA' = AB = 1 $\n- Also, triangle $ ABA' $ is isosceles with $ AB = BA' = 1 $, angle at $ B $ is $ \\theta $\n- So, by the Law of Cosines in triangle $ ABA' $:\n  $$\n  AA'^2 = AB^2 + BA'^2 - 2 \\cdot AB \\cdot BA' \\cdot \\cos \\theta = 1 + 1 - 2\\cos\\theta = 2(1 - \\cos\\theta)\n  $$\n\n---\n\n**Step 2: Now rotate $ B $ about $ A' $ by $ -\\theta $ (clockwise)**\n\nAfter this rotation, $ B $ goes to $ B' $, and since rotation preserves distances:\n\n- $ A'B' = AB = 1 $\n- $ AB' = \\frac{4}{3} $ (given)\n\nSo in triangle $ A'B'B $, we have:\n- $ A'B' = 1 $\n- $ AB' = \\frac{4}{3} $\n- $ A'B = 1 $ (since $", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_06", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 5, "prompt": "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 $x$?\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $x$?", "answer": "441", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given the equation:\n\n$$\n\\sqrt[20]{x^{\\log_{2026}x}} = 26x\n$$\n\nWe want to find the number of positive divisors of the product of all possible positive values of $ x $ satisfying this equation.\n\n---\n\n**Step 1: Simplify the left-hand side**\n\nWe have:\n\n$$\n\\sqrt[20]{x^{\\log_{2026}x}} = \\left(x^{\\log_{2026}x}\\right)^{1/20} = x^{\\frac{1}{20} \\log_{2026}x}\n$$\n\nNow, use the identity $ x^{\\log_b y} = y^{\\log_b x} $, or better, write everything in terms of logarithms.\n\nLet $ y = \\log_{2026} x $. Then $ x = 2026^y $.\n\nSubstitute into the expression:\n\nLeft-hand side becomes:\n\n$$\nx^{\\frac{1}{20} \\log_{2026}x} = (2026^y)^{\\frac{1}{20} y} = 2026^{\\frac{y^2}{20}}\n$$\n\nRight-hand side: $ 26x = 26 \\cdot 2026^y $\n\nSo the equation becomes:\n\n$$\n2026^{\\frac{y^2}{20}} = 26 \\cdot 2026^y\n$$\n\n---\n\n**Step 2: Divide both sides by $ 2026^y $**\n\n$$\n2026^{\\frac{y^2}{20} - y} = 26\n$$\n\nTake log", "visible_output": "We are given the equation:\n\n$$\n\\sqrt[20]{x^{\\log_{2026}x}} = 26x\n$$\n\nWe want to find the number of positive divisors of the product of all possible positive values of $ x $ satisfying this equation.\n\n---\n\n**Step 1: Simplify the left-hand side**\n\nWe have:\n\n$$\n\\sqrt[20]{x^{\\log_{2026}x}} = \\left(x^{\\log_{2026}x}\\right)^{1/20} = x^{\\frac{1}{20} \\log_{2026}x}\n$$\n\nNow, use the identity $ x^{\\log_b y} = y^{\\log_b x} $, or better, write everything in terms of logarithms.\n\nLet $ y = \\log_{2026} x $. Then $ x = 2026^y $.\n\nSubstitute into the expression:\n\nLeft-hand side becomes:\n\n$$\nx^{\\frac{1}{20} \\log_{2026}x} = (2026^y)^{\\frac{1}{20} y} = 2026^{\\frac{y^2}{20}}\n$$\n\nRight-hand side: $ 26x = 26 \\cdot 2026^y $\n\nSo the equation becomes:\n\n$$\n2026^{\\frac{y^2}{20}} = 26 \\cdot 2026^y\n$$\n\n---\n\n**Step 2: Divide both sides by $ 2026^y $**\n\n$$\n2026^{\\frac{y^2}{20} - y} = 26\n$$\n\nTake log", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_07", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 6, "prompt": "\nFind the number of functions $\\pi$ mapping the set $A =\\{1,2,3,4,5,6\\}$ onto $A$ such that for every $a \\in A,$\n\\[\n\\pi(\\pi(\\pi(\\pi(\\pi(\\pi(a)))))) = a.\n\\]\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "\nFind the number of functions $\\pi$ mapping the set $A =\\{1,2,3,4,5,6\\}$ onto $A$ such that for every $a \\in A,$\n\\[\n\\pi(\\pi(\\pi(\\pi(\\pi(\\pi(a)))))) = a.\n\\]", "answer": "396", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given a function $\\pi: A \\to A$, where $A = \\{1,2,3,4,5,6\\}$, such that:\n\n$$\n\\pi^6(a) = a \\quad \\text{for all } a \\in A.\n$$\n\nThat is, applying $\\pi$ six times returns the original element. This means that **$\\pi$ is a permutation of $A$** whose **order divides 6**.\n\nWe are to count the number of such permutations where $\\pi^6(a) = a$ for all $a$, i.e., the permutation has order dividing 6.\n\nBut note: every permutation of a finite set satisfies $\\pi^k(a) = a$ for some $k$, and the **order** of a permutation is the least common multiple (LCM) of the lengths of its cycles.\n\nSo, we want permutations of 6 elements whose **order divides 6**.\n\nThus, we need to count the number of permutations of 6 elements whose cycle structure has LCM of cycle lengths dividing 6.\n\nStep 1: The possible cycle types (partitions of 6) where LCM of cycle lengths divides 6.\n\nStep 2: List all integer partitions of 6, and for each, compute LCM of the parts. Keep only those with LCM dividing 6.\n\nStep 3: For each such valid cycle type, compute the number of permutations of that type.\n\nStep 4: Sum over all valid cycle types.\n\n---\n\nValid cycle types (cycle length partitions of 6) where LCM divides 6:\n\n- (1,1,1,1,1,1): LCM = 1 → divides 6 → valid\n- (2,2,2): LCM = 2 → valid\n- (3,3): LCM =", "visible_output": "We are given a function $\\pi: A \\to A$, where $A = \\{1,2,3,4,5,6\\}$, such that:\n\n$$\n\\pi^6(a) = a \\quad \\text{for all } a \\in A.\n$$\n\nThat is, applying $\\pi$ six times returns the original element. This means that **$\\pi$ is a permutation of $A$** whose **order divides 6**.\n\nWe are to count the number of such permutations where $\\pi^6(a) = a$ for all $a$, i.e., the permutation has order dividing 6.\n\nBut note: every permutation of a finite set satisfies $\\pi^k(a) = a$ for some $k$, and the **order** of a permutation is the least common multiple (LCM) of the lengths of its cycles.\n\nSo, we want permutations of 6 elements whose **order divides 6**.\n\nThus, we need to count the number of permutations of 6 elements whose cycle structure has LCM of cycle lengths dividing 6.\n\nStep 1: The possible cycle types (partitions of 6) where LCM of cycle lengths divides 6.\n\nStep 2: List all integer partitions of 6, and for each, compute LCM of the parts. Keep only those with LCM dividing 6.\n\nStep 3: For each such valid cycle type, compute the number of permutations of that type.\n\nStep 4: Sum over all valid cycle types.\n\n---\n\nValid cycle types (cycle length partitions of 6) where LCM divides 6:\n\n- (1,1,1,1,1,1): LCM = 1 → divides 6 → valid\n- (2,2,2): LCM = 2 → valid\n- (3,3): LCM =", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_08", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 7, "prompt": "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 $1000$.\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 $1000$.", "answer": "244", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given $ 17017^{17} $, and we want to find the number $ N $ of **positive integer divisors** of this number that leave a **remainder of 5 when divided by 12**. Then, we need to compute $ N \\mod 1000 $.\n\n---\n\n**Step 1: Prime factorization of 17017**\n\nWe factor $ 17017 $. Try small primes:\n\n- $ 17017 \\div 7 = 2431 $\n- $ 2431 \\div 11 = 221 $\n- $ 221 = 13 \\times 17 $\n\nSo:\n$$\n17017 = 7 \\times 11 \\times 13 \\times 17\n$$\n\nThus:\n$$\n17017^{17} = 7^{17} \\times 11^{17} \\times 13^{17} \\times 17^{17}\n$$\n\n---\n\n**Step 2: Divisors of $ 17017^{17} $**\n\nAny divisor is of the form:\n$$\n7^a \\times 11^b \\times 13^c \\times 17^d\n$$\nwhere $ 0 \\leq a,b,c,d \\leq 17 $\n\nWe want such divisors $ d $ such that:\n$$\nd \\equiv 5 \\pmod{12}\n$$\n\nSo we need to count how many such combinations satisfy $ d \\equiv 5 \\pmod{12} $\n\n---\n\n**Step 3: Work modulo 12**\n\nWe analyze the possible values of $ 7^a \\mod", "visible_output": "We are given $ 17017^{17} $, and we want to find the number $ N $ of **positive integer divisors** of this number that leave a **remainder of 5 when divided by 12**. Then, we need to compute $ N \\mod 1000 $.\n\n---\n\n**Step 1: Prime factorization of 17017**\n\nWe factor $ 17017 $. Try small primes:\n\n- $ 17017 \\div 7 = 2431 $\n- $ 2431 \\div 11 = 221 $\n- $ 221 = 13 \\times 17 $\n\nSo:\n$$\n17017 = 7 \\times 11 \\times 13 \\times 17\n$$\n\nThus:\n$$\n17017^{17} = 7^{17} \\times 11^{17} \\times 13^{17} \\times 17^{17}\n$$\n\n---\n\n**Step 2: Divisors of $ 17017^{17} $**\n\nAny divisor is of the form:\n$$\n7^a \\times 11^b \\times 13^c \\times 17^d\n$$\nwhere $ 0 \\leq a,b,c,d \\leq 17 $\n\nWe want such divisors $ d $ such that:\n$$\nd \\equiv 5 \\pmod{12}\n$$\n\nSo we need to count how many such combinations satisfy $ d \\equiv 5 \\pmod{12} $\n\n---\n\n**Step 3: Work modulo 12**\n\nWe analyze the possible values of $ 7^a \\mod", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}
+{"id": "aime_eval_09", "benchmark": "aime", "source_repo": "MathArena/aime_2026", "source_split": "train", "source_index": 8, "prompt": "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 stickers in order. If the die ever lands with a sticker already on its top face, the new sticker is placed to cover the old sticker. Let $p$ be the conditional probability that at the end of the process exactly one face has been left blank, given that all the even-numbered stickers are visible on faces of the die. Then $p$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$\n\nReason briefly in at most 4 short steps, and end with a final line exactly in the form `Final answer: \\boxed{...}`.", "question": "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 stickers in order. If the die ever lands with a sticker already on its top face, the new sticker is placed to cover the old sticker. Let $p$ be the conditional probability that at the end of the process exactly one face has been left blank, given that all the even-numbered stickers are visible on faces of the die. Then $p$ can be written as $\\tfrac mn,$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$", "answer": "29", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "We are given a fair six-sided die, initially blank. Joanne places stickers 1 through 6 in order, each time rolling the die and placing the sticker on the top face. If a sticker is already on a face, the new one covers it.\n\nWe are told that **all even-numbered stickers (2, 4, 6) are visible** at the end. We are to compute the **conditional probability** $ p $ that **exactly one face is left blank** (i.e., exactly five stickers are on faces, one face has no sticker), **given** that 2, 4, and 6 are all visible.\n\nWe are to find $ p = \\frac{m}{n} $ in lowest terms and compute $ m+n $.\n\n---\n\n**Step 1: Understand the setup**\n\nEach sticker is placed on the top face after a roll. The die is rolled each time, so each sticker is placed on a face chosen uniformly at random from the 6 faces. When a sticker is placed, it covers any previous sticker on that face.\n\nSo, at the end, each face has **at most one sticker**, and the sticker on a face is the one from the last time that face was rolled.\n\nThus, the final sticker on a face is the one from the **last roll** that landed on that face.\n\nWe are told that **even-numbered stickers (2, 4, 6) are all visible**, meaning that each of these stickers was placed on some face, and no later sticker covered it. That is, for each even-numbered sticker $ k \\in \\{2,4,6\\} $, the face on which it was placed was **not rolled on after** that roll.\n\nIn other words, for each even $ k $, the roll that placed sticker $ k $ was the **last roll", "visible_output": "We are given a fair six-sided die, initially blank. Joanne places stickers 1 through 6 in order, each time rolling the die and placing the sticker on the top face. If a sticker is already on a face, the new one covers it.\n\nWe are told that **all even-numbered stickers (2, 4, 6) are visible** at the end. We are to compute the **conditional probability** $ p $ that **exactly one face is left blank** (i.e., exactly five stickers are on faces, one face has no sticker), **given** that 2, 4, and 6 are all visible.\n\nWe are to find $ p = \\frac{m}{n} $ in lowest terms and compute $ m+n $.\n\n---\n\n**Step 1: Understand the setup**\n\nEach sticker is placed on the top face after a roll. The die is rolled each time, so each sticker is placed on a face chosen uniformly at random from the 6 faces. When a sticker is placed, it covers any previous sticker on that face.\n\nSo, at the end, each face has **at most one sticker**, and the sticker on a face is the one from the last time that face was rolled.\n\nThus, the final sticker on a face is the one from the **last roll** that landed on that face.\n\nWe are told that **even-numbered stickers (2, 4, 6) are all visible**, meaning that each of these stickers was placed on some face, and no later sticker covered it. That is, for each even-numbered sticker $ k \\in \\{2,4,6\\} $, the face on which it was placed was **not rolled on after** that roll.\n\nIn other words, for each even $ k $, the roll that placed sticker $ k $ was the **last roll", "has_think_close": false, "predicted_answer": null, "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 384, "pubmedqa": 128}, "effective_max_new_tokens": 384}}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/iteration_01/baseline/instruct/pubmedqa_extractor_predictions.jsonl

@@ -0,0 +1,30 @@
+{"id": "pubmedqa_eval_01", "prompt": "Problem:\nQuestion: Standardizing care in medical oncology: are Web-based systems the answer?\n\nContext:\nBACKGROUND: Medical oncology is embracing information technology to standardize care and improve patient outcomes, with a range of Web-based systems used internationally. The authors' aim was to determine the factors affecting the uptake and use of a Web-based protocol system for medical oncology in the Australian setting.\nMETHODS: The authors conducted 50 interviews and observed medical oncology physicians, nurses, and pharmacists in their treatment setting at 6 hospitals in different geographic locations.\nRESULTS: The Web-based system plays a major role in guiding oncology treatment across participating sites. However, its use varies according to hospital location, clinician roles, and experience. A range of issues impact on clinicians' attitudes toward and use of the Web-based system. Important factors are clinician-specific (eg, their need for autonomy and perceptions of lack of time) or environmental (eg, hospital policy on protocol use, endorsement of the system, and the availability of appropriate infrastructure, such as sufficient computers). The level of education received regarding the system was also found to be integral to its ongoing use.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study finds that Web-based systems play a major role in guiding oncology treatment and are used across sites, though uptake varies based on clinician autonomy, time constraints, hospital policies, infrastructure, and education. These findings support the idea that Web-based systems can standardize care in medical oncology, despite variability in implementation. The evidence indicates that with appropriate support and context, such systems are effective and integral to care delivery.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_02", "prompt": "Problem:\nQuestion: Secondhand smoke risk in infants discharged from an NICU: potential for significant health disparities?\n\nContext:\nINTRODUCTION: Secondhand smoke exposure (SHSe) threatens fragile infants discharged from a neonatal intensive care unit (NICU). Smoking practices were examined in families with a high respiratory risk infant (born at very low birth weight; ventilated>12 hr) in a Houston, Texas, NICU. Socioeconomic status, race, and mental health status were hypothesized to be related to SHSe and household smoking bans.\nMETHODS: Data were collected as part of The Baby's Breath Project, a hospital-based SHSe intervention trial targeting parents with a high-risk infant in the NICU who reported a smoker in the household (N = 99). Measures of sociodemographics, smoking, home and car smoking bans, and depression were collected.\nRESULTS: Overall, 26% of all families with a high-risk infant in the NICU reported a household smoker. Almost half of the families with a smoker reported an annual income of less than $25,000. 46.2% of families reported having a total smoking ban in place in both their homes and cars. Only 27.8% families earning less than $25,000 reported having a total smoking ban in place relative to almost 60% of families earning more (p<.01). African American and Caucasian families were less likely to have a smoking ban compared with Hispanics (p<.05). Mothers who reported no smoking ban were more depressed than those who had a household smoking ban (p<.02).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study shows that lower-income families, African American and Caucasian families compared to Hispanic families, and mothers with no smoking ban report higher levels of depression, and significantly fewer low-income families have comprehensive smoking bans. These disparities suggest that socioeconomic status, race, and mental health are strongly linked to SHSe exposure risks in infants discharged from NICU. This indicates a clear potential for significant health disparities due to unequal access to smoke-free environments.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_03", "prompt": "Problem:\nQuestion: Does nuchal translucency thickness in the first trimester predict GDM onset during pregnancy?\n\nContext:\nBACKGROUND AND AIMS: This study was planned to evaluate whether increased nuchal translucency (NT) thickness in the first trimester of gestation can be related to onset of gestational diabetes mellitus (GDM) during pregnancy.\nMETHODS: From January 2006 to August 2008, a group of 678 singleton pregnancies who had developed GDM has been selected as a study group among a total of 3966 pregnant women who had undergone first trimester screening for aneuploidies at 11-14 weeks of gestation. A group of 420 single pregnant women with physiological pregnancy were enrolled as control group. Both fetal structural and karyotype's anomalies were excluded in the two groups. NT was mesured by a Fetal Medicine Foundation certificated operator; GDM was diagnosed at 24-28 weeks of gestation following Carpenter and Coustan criteria. In the analyses of continuos variables, study and control group were compared by Student's t-test and Anova test.\nRESULTS: There was no significative difference (p = 0.585) between NT values in the study (mean = 1.56) and control group (mean = 1.54).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found no significant difference in nuchal translucency thickness between women who developed gestational diabetes mellitus and those with normal pregnancies (p = 0.585). Since the results do not support a predictive relationship between first-trimester NT thickness and GDM onset, the evidence does not validate the claim.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_04", "prompt": "Problem:\nQuestion: Do emergency medical services professionals think they should participate in disease prevention?\n\nContext:\nOBJECTIVE: The primary objective of the study was to determine emergency medical services (EMS) professionals' opinions regarding participation in disease and injury prevention programs. A secondary objective was to determine the proportion of EMS professionals who had participated in disease prevention programs.\nMETHODS: As part of the National Registry of Emergency Medical Technicians' biennial reregistration process, EMS professionals reregistering in 2006 were asked to complete an optional survey regarding their opinions on and participation in disease and injury prevention. Demographic characteristics were also collected. Data were analyzed using descriptive statistics and 99% confidence intervals (CIs). The chi-square test was used to compare differences by responder demographics (alpha = 0.01). A 10% difference between groups was determined to be clinically significant.\nRESULTS: The survey was completed by 27,233 EMS professionals. Of these responders, 82.7% (99% CI: 82.1-83.3) felt that EMS professionals should participate in disease prevention, with those working 20 to 29 hours per week being the least likely to think they should participate (67.4%, p<0.001). About a third, 33.8% (99% CI: 33.1-34.6), of the respondents reported having provided prevention services, with those having a graduate degree (43.5%, p<0.001), those working in EMS for more than 21 years (44%, p<0.001), those working for the military (57%, p<0.001), those working 60 to 69 hours per week (41%, p<0.001), and those responding to zero emergency calls in a typical week (43%, p<0.001) being the most likely to report having provided prevention services. About half, 51.1% (99% CI: 50.4-51.9), of the respondents agreed that prevention services should be provided during emergency calls, and 7.7% (99% CI: 7.3-8.1) of the respondents reported providing prevention services during emergency calls. No demographic differences existed. Those who had participated in prevention programs were more likely to respond that EMS professionals should participate in prevention (92% vs. 82%, p<0.001). Further, those who had provided prevention services during emergency calls were more likely to think EMS professionals should provide prevention services during emergency calls (81% vs. 51%, p<0.001).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nYes, the study's results show that a majority (82.7%) of EMS professionals believe they should participate in disease prevention, and those who have participated in or provided prevention services are significantly more likely to support such participation. Additionally, a notable proportion (51.1%) agree that prevention services should be provided during emergency calls, and those who have done so are more likely to believe this is appropriate. These findings consistently support the idea that EMS professionals view disease prevention as a valuable and necessary role.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_05", "prompt": "Problem:\nQuestion: Is controlled ovarian stimulation in intrauterine insemination an acceptable therapy in couples with unexplained non-conception in the perspective of multiple pregnancies?\n\nContext:\nBACKGROUND: Controlled ovarian stimulation (COS) with intrauterine insemination (IUI) is a common treatment in couples with unexplained non-conception. Induction of multifollicular growth is considered to improve pregnancy outcome, but it contains an increased risk of multiple pregnancies and ovarian hyperstimulation syndrome. In this study the impact of the number of follicles (>14 mm) on the ongoing pregnancy rate (PR) and multiple PR was evaluated in the first four treatment cycles.\nMETHODS: A retrospective cohort study was performed in all couples with unexplained non-conception undergoing COS-IUI in the Academic Hospital of Maastricht. The main outcome measure was ongoing PR. Secondary outcomes were ongoing multiple PR, number of follicles of>or=14 mm, and order of treatment cycle.\nRESULTS: Three hundred couples were included. No significant difference was found in ongoing PR between women with one, two, three or four follicles respectively (P=0.54), but in women with two or more follicles 12/73 pregnancies were multiples. Ongoing PR was highest in the first treatment cycle and declined significantly with increasing cycle order (P=0.006), while multiple PR did not change.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found no significant difference in ongoing pregnancy rates across the number of follicles (one to four), and multiple pregnancies occurred in 12 out of 73 cases with two or more follicles. While COS-IUI increases the risk of multiple pregnancies, the ongoing pregnancy rate remains acceptable regardless of follicle count. Since the therapy maintains acceptable ongoing pregnancy rates despite the multiple pregnancy risk, it is considered acceptable in couples with unexplained non-conception in this context.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_06", "prompt": "Problem:\nQuestion: Is a pressor necessary during aortic perfusion and oxygenation therapy of cardiac arrest?\n\nContext:\nSTUDY OBJECTIVE: Occlusion of the descending aorta and infusion of oxygenated ultrapurified polymerized bovine hemoglobin may improve the efficacy of advanced cardiac life support (ACLS). Because selective aortic perfusion and oxygenation (SAPO) directly increases coronary perfusion pressure, exogenous epinephrine may not be required. The purpose of this study was to determine whether exogenous epinephrine is necessary during SAPO by comparing the rate of return of spontaneous circulation and aortic and coronary perfusion pressures during ACLS-SAPO in animals treated with either intra-aortic epinephrine or saline solution.\nMETHODS: A prospective, randomized, interventional before-after trial with a canine model of ventricular fibrillation cardiac arrest and ACLS based on external chest compression was performed. The ECG, right atrial, aortic arch, and esophageal pulse pressures were measured continuously. A descending aortic occlusion balloon catheter was placed through the femoral artery. Ventricular fibrillation was induced, and no therapy was given during the 10-minute arrest time. Basic life support was then initiated and normalized by standardization of esophageal pulse pressure and central aortic blood gases. After 3 minutes of basic life support, the aortic occlusion balloon was inflated, and 0.01 mg/kg epinephrine or saline solution was administered through the aortic catheter followed by 450 mL of ultrapurified polymerized bovine hemoglobin over 2 minutes. Defibrillation was then attempted. The outcomes and changes in intravascular pressures were compared.\nRESULTS: Aortic pressures were higher during infusions in animals treated with epinephrine. During infusion, the mean aortic relaxation pressure increased by 58+/-5 mm Hg in animals that had received epinephrine versus 20+/-11 mm Hg in those that had received saline placebo. The coronary perfusion pressure during infusion increased by 52+/-8 mm Hg in animals that had received epinephrine versus 26+/-10 mm Hg in those that had received saline. Only 2 of 7 animals in the placebo group had return of spontaneous circulation versus 7 of 8 in the epinephrine group.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found that animals receiving epinephrine had significantly higher aortic and coronary perfusion pressures and a higher rate of return of spontaneous circulation compared to those receiving saline. These results indicate that exogenous epinephrine improves outcomes during aortic perfusion and oxygenation therapy. Therefore, the study's results support that a pressor (epinephrine) is beneficial and likely necessary to achieve optimal perfusion pressures in this context.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_07", "prompt": "Problem:\nQuestion: Is there a uniform basal endometrial gene expression profile during the implantation window in women who became pregnant in a subsequent ICSI cycle?\n\nContext:\nBACKGROUND: To understand which genes are really involved in the implantation process, we planned to study the gene basal expression profile during the window of implantation (WOI) of patients who became pregnant in a subsequent ICSI cycle.\nMETHODS: Women attending their first ICSI cycle at ANDROS Day Surgery for severe male factor infertility were included in the study. An endometrial biopsy was performed during the WOI, in one of the last two cycles before the ICSI cycle. Forty-seven selected gene profiles were analyzed using Low Density Array technology. Only biopsies from women who subsequently became pregnant were evaluated, to exclude any bias regarding embryo viability and embryo transfer difficulties.\nRESULTS: Fifteen patients were included in the analysis as they became pregnant after ICSI procedure. Four of 47 selected genes were excluded from the analysis. Of the 43 genes analyzed, only 6 genes (VEGFA, PLA2G2A, ALPL, LIF, NNMT and STC1) showed a statistically uniform expression among patients who subsequently became pregnant. For all the other genes analyzed there were considerable differences in their expression levels amongst women who subsequently became pregnant.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found that only six out of 43 analyzed genes showed a statistically uniform expression profile among women who became pregnant after ICSI, while the majority of genes exhibited significant variation. This indicates that there is not a uniform basal endometrial gene expression profile during the implantation window in women who became pregnant in a subsequent ICSI cycle.  \n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_08", "prompt": "Problem:\nQuestion: Does perspective-taking increase patient satisfaction in medical encounters?\n\nContext:\nPURPOSE: To assess whether perspective-taking, which researchers in other fields have shown to induce empathy, improves patient satisfaction in encounters between student-clinicians and standardized patients (SPs).\nMETHOD: In three studies, randomly assigned students (N = 608) received either a perspective-taking instruction or a neutral instruction prior to a clinical skills examination in 2006-2007. SP satisfaction was the main outcome in all three studies. Study 1 involved 245 third-year medical students from two universities. Studies 2 and 3 extended Study 1 to examine generalizability across student and SP subpopulations. Study 2 (105 physician assistant students, one university) explored the effect of perspective-taking on African American SPs' satisfaction. Study 3 (258 third-year medical students, two universities) examined the intervention's effect on students with high and low baseline perspective-taking tendencies.\nRESULTS: Intervention students outscored controls in patient satisfaction in all studies: Study 1: P = .01, standardized effect size = 0.16; Study 2: P = .001, standardized effect size = 0.31; Study 3: P = .009, standardized effect size = 0.13. In Study 2, perspective-taking improved African American SPs' satisfaction. In Study 3, intervention students with high baseline perspective-taking tendencies outscored controls (P = .0004, standardized effect size = 0.25), whereas those with low perspective-taking tendencies did not (P = .72, standardized effect size = 0.00).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study's results consistently show that perspective-taking increases patient satisfaction across multiple settings and subpopulations, including African American SPs and students with high baseline perspective-taking tendencies. Although the effect was not significant for students with low baseline tendencies, the overall pattern across studies demonstrates a positive impact of perspective-taking on patient satisfaction. The effect sizes are modest but statistically significant in multiple studies, supporting a general positive relationship.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_09", "prompt": "Problem:\nQuestion: Do patterns of knowledge and attitudes exist among unvaccinated seniors?\n\nContext:\nOBJECTIVE: To examine patterns of knowledge and attitudes among adults aged>65 years unvaccinated for influenza.\nMETHODS: Surveyed Medicare beneficiaries in 5 areas; clustered unvaccinated seniors by their immunization related knowledge and attitudes.\nRESULTS: Identified 4 clusters: Potentials (45%) would receive influenza vaccine to prevent disease; Fearful Uninformeds (9%) were unsure if influenza vaccine causes illness; Doubters (27%) were unsure if vaccine is efficacious; Misinformeds (19%) believed influenza vaccine causes illness. More Potentials (75%) and Misinformeds (70%) ever received influenza vaccine than did Fearful Uninformeds (18%) and Doubters (29%).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nYes, the study identifies distinct patterns of knowledge and attitudes among unvaccinated seniors, showing that different clusters (e.g., Potentials, Fearful Uninformeds, Doubters, Misinformeds) have varying levels of vaccine beliefs and past vaccination history, which directly addresses the question of whether such patterns exist. The clustering by knowledge and attitudes provides clear evidence of differing patterns.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_10", "prompt": "Problem:\nQuestion: Is the cell death in mesial temporal sclerosis apoptotic?\n\nContext:\nPURPOSE: Mesial temporal sclerosis (MTS) is characterized by neuronal loss in the hippocampus. Studies on experimental models and patients with intractable epilepsy suggest that apoptosis may be involved in neuronal death induced by recurrent seizures.\nMETHODS: We searched evidence for apoptotic cell death in temporal lobes resected from drug-resistant epilepsy patients with MTS by using the terminal deoxynucleotidyl transferase (TdT) and digoxigenin-11-dUTP (TUNEL) method and immunohistochemistry for Bcl-2, Bax, and caspase-cleaved actin fragment, fractin. The temporal lobe specimens were obtained from 15 patients (six women and nine men; mean age, 29 +/- 8 years).\nRESULTS: Unlike that in normal adult brain, we observed Bcl-2 immunoreactivity in some of the remaining neurons dispersed throughout the hippocampus proper as well as in most of the reactive astroglia. Bax immunopositivity was increased in almost all neurons. Fractin immunostaining, an indicator of caspase activity, was detected in approximately 10% of these neurons. Despite increased Bax expression and activation of caspases, we could not find evidence for DNA fragmentation by TUNEL staining. We also could not detect typical apoptotic changes in nuclear morphology by Hoechst-33258 or hematoxylin counterstaining.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found increased Bax expression and caspase activation (fractin staining), which are markers of apoptosis, but no evidence of DNA fragmentation (TUNEL negative) or typical apoptotic nuclear morphology. These findings suggest that while some apoptotic pathway components are activated, the hallmark features of apoptosis (DNA fragmentation, morphological changes) are absent. Therefore, the evidence does not support that cell death in MTS is apoptotic.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_11", "prompt": "Problem:\nQuestion: Resection of colorectal liver metastases after second-line chemotherapy: is it worthwhile?\n\nContext:\nPURPOSE: Patient outcome after resection of colorectal liver metastases (CLM) following second-line preoperative chemotherapy (PCT) performed for insufficient response or toxicity of the first-line, is little known and has here been compared to the outcome following first-line.\nPATIENTS AND METHODS: From January 2005 to June 2013, 5624 and 791 consecutive patients of a prospective international cohort received 1 and 2 PCT lines before CLM resection (group 1 and 2, respectively). Survival and prognostic factors were analysed.\nRESULTS: After a mean follow-up of 30.1 months, there was no difference in survival from CLM diagnosis (median, 3-, and 5-year overall survival [OS]: 58.6 months, 76% and 49% in group 2 versus 58.9 months, 71% and 49% in group 1, respectively, P = 0.32). After hepatectomy, disease-free survival (DFS) was however shorter in group 2: 17.2 months, 27% and 15% versus 19.4 months, 32% and 23%, respectively (P = 0.001). Among the initially unresectable patients of group 1 and 2, no statistical difference in OS or DFS was observed. Independent predictors of worse OS in group 2 were positive primary lymph nodes, extrahepatic disease, tumour progression on second line, R2 resection and number of hepatectomies/year<50. Positive primary nodes, synchronous and bilateral metastases were predictors of shorter DFS. Initial unresectability did not impact OS or DFS in group 2.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study shows no difference in overall survival between patients who underwent resection of colorectal liver metastases after first-line versus second-line chemotherapy, but disease-free survival was shorter after second-line chemotherapy. While overall survival is comparable, the worse disease-free survival suggests reduced long-term benefit. Since the question asks whether resection after second-line chemotherapy is \"worthwhile,\" and the primary outcome (overall survival) is not inferior, the results support that resection remains a viable and worthwhile option despite reduced disease-free survival.  \n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_12", "prompt": "Problem:\nQuestion: Can emergency physicians accurately and reliably assess acute vertigo in the emergency department?\n\nContext:\nOBJECTIVE: To validate a clinical diagnostic tool, used by emergency physicians (EPs), to diagnose the central cause of patients presenting with vertigo, and to determine interrater reliability of this tool.\nMETHODS: A convenience sample of adult patients presenting to a single academic ED with isolated vertigo (i.e. vertigo without other neurological deficits) was prospectively evaluated with STANDING (SponTAneousNystagmus, Direction, head Impulse test, standiNG) by five trained EPs. The first step focused on the presence of spontaneous nystagmus, the second on the direction of nystagmus, the third on head impulse test and the fourth on gait. The local standard practice, senior audiologist evaluation corroborated by neuroimaging when deemed appropriate, was considered the reference standard. Sensitivity and specificity of STANDING were calculated. On the first 30 patients, inter-observer agreement among EPs was also assessed.\nRESULTS: Five EPs with limited experience in nystagmus assessment volunteered to participate in the present study enrolling 98 patients. Their average evaluation time was 9.9 ± 2.8 min (range 6-17). Central acute vertigo was suspected in 16 (16.3%) patients. There were 13 true positives, three false positives, 81 true negatives and one false negative, with a high sensitivity (92.9%, 95% CI 70-100%) and specificity (96.4%, 95% CI 93-38%) for central acute vertigo according to senior audiologist evaluation. The Cohen's kappas of the first, second, third and fourth steps of the STANDING were 0.86, 0.93, 0.73 and 0.78, respectively. The whole test showed a good inter-observer agreement (k = 0.76, 95% CI 0.45-1).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study demonstrates that emergency physicians using the STANDING tool can accurately and reliably assess acute vertigo, with high sensitivity (92.9%) and specificity (96.4%) for detecting central acute vertigo, and good inter-rater reliability (k = 0.76). These results support the clinical utility of the tool in the emergency setting.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_13", "prompt": "Problem:\nQuestion: Does fluoridation reduce the use of dental services among adults?\n\nContext:\nOBJECTIVES: The authors determine whether prevention influences the use of health services. Fluoridation's effect on restorative dental demand among 972 Washington state employees and spouses, aged 20 to 34 years, in two fluoridated communities and a nonfluoridated community was examined.\nMETHODS: At baseline, adults were interviewed by telephone, and oral assessments were conducted to measure personal characteristics, lifetime exposure to fluoridated water, oral disease, and the quality of restorations. Adults were followed for 2 years to measure dental demand from dental claims. Each adult's baseline and claims data were linked with provider and practice variables collected from the dentist who provided treatment.\nRESULTS: Relative to adults with no lifetime exposure to fluoridated water, adults drinking fluoridated water for half or more of their lives had less disease at baseline and a lower but nonsignificant probability of receiving a restoration in the follow-up period. In the 2-year follow-up period, however, more than half of the restorations were performed to replace fillings of satisfactory or ideal quality at baseline. When only teeth with decay and unsatisfactory fillings at baseline were considered, adults with high fluoridation exposure had a lower probability of receiving a restoration than adults with no exposure. Market effects also were detected in demand equations; relative to adults in the nonfluoridated community, adults residing in the fluoridated community with a large dentist supply received a greater number of restorations, suggesting potential supplier-induced demand from less disease and fewer patients.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study finds that adults with high lifetime exposure to fluoridated water had a lower probability of receiving a restoration when considering only teeth with decay and unsatisfactory fillings at baseline. While overall restorative demand was not significantly reduced, the reduction in restorations for problematic teeth suggests a potential decrease in dental service use among adults with good baseline oral health due to fluoridation. However, market effects and supplier-induced demand were also observed, indicating that increased access to care in fluoridated areas with many dentists may drive higher service use. The net effect is not clearly a reduction in service use across all cases.  \n\nFinal answer\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: maybe", "visible_output": "Final answer: maybe", "has_think_close": false, "predicted_answer": "maybe", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_14", "prompt": "Problem:\nQuestion: Does intra-abdominal desmoid disease affect patients with an ileal pouch differently than those with an ileorectal anastomosis?\n\nContext:\nBACKGROUND: Nobody has analyzed the sequelae of desmoids according to the type of surgery that precipitated them.\nOBJECTIVE: This study aims to determine whether the clinical effects of abdominal desmoids would be worse in patients with restorative proctocolectomy than in patients with ileorectal anastomosis.\nDESIGN: This is a retrospective, database study.\nPATIENTS: Included were patients with familial adenomatous polyposis who had undergone proctocolectomy with IPAA or colectomy and ileorectal anastomosis, and subsequently developed an intra-abdominal desmoid tumor.\nMAIN OUTCOME MEASURES: The primary outcome measures were the clinical course of the desmoids; morbidity, and the requirement for stoma.\nRESULTS: There were 86 patients: 49 had restorative proctocolectomy and 37 had ileorectal anastomosis. Patient demographics were similar. Average follow-up was 9.8 years (range, 2.7-23.8) and 16.3 years (range, 2.3 - 42.9). Treatment of the desmoids included surgery (64.4% vs 65.6%), medical therapy (69.4% vs 59.5%), chemotherapy (36.2% vs 30.0%), and radiotherapy (4.5% vs 10.0%), and was the same for each group. The overall complication rate of desmoids was similar, approaching 70%. The risk of individual complications was also similar (bleeding (2.0% vs 0.0%), fistula (10.2% vs 13.5%), bowel obstruction (32.7% vs 48.6%), pain (34.7% vs 21.6%), and death related to desmoid tumors (2.0% vs 10.8%)); 38.8% of the restorative proctocolectomy group and 51.4% the ileorectal group had surgery for desmoid tumor complications (P = .21), and 22.4% and 22.2% of patients ultimately had permanent stomas.\nLIMITATIONS: This study was limited by the relatively small numbers of patients.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found no significant difference in clinical outcomes, morbidity, or requirement for stoma between patients with restorative proctocolectomy and those with ileorectal anastomosis who developed intra-abdominal desmoid disease. Complication rates, treatment approaches, and surgical interventions were similar across groups, with no evidence that desmoids have worse effects in patients with restorative proctocolectomy.  \n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_15", "prompt": "Problem:\nQuestion: Utility of unenhanced fat-suppressed T1-weighted MRI in children with sickle cell disease -- can it differentiate bone infarcts from acute osteomyelitis?\n\nContext:\nBACKGROUND: Children with sickle cell disease (SCD) are at risk of bone infarcts and acute osteomyelitis. The clinical differentiation between a bone infarct and acute osteomyelitis is a diagnostic challenge. Unenhanced T1-W fat-saturated MR images have been proposed as a potential tool to differentiate bone infarcts from osteomyelitis.\nOBJECTIVE: To evaluate the reliability of unenhanced T1-W fat-saturated MRI for differentiation between bone infarcts and acute osteomyelitis in children with SCD.\nMATERIALS AND METHODS: We retrospectively reviewed the records of 31 children (20 boys, 11 girls; mean age 10.6 years, range 1.1-17.9 years) with SCD and acute bone pain who underwent MR imaging including unenhanced T1-W fat-saturated images from 2005 to 2010. Complete clinical charts were reviewed by a pediatric hematologist with training in infectious diseases to determine a clinical standard to define the presence or absence of osteomyelitis. A pediatric radiologist reviewed all MR imaging and was blinded to clinical information. Based on the signal intensity in T1-W fat-saturated images, the children were further classified as positive for osteomyelitis (low bone marrow signal intensity) or positive for bone infarct (high bone marrow signal intensity).\nRESULTS: Based on the clinical standard, 5 children were classified as positive for osteomyelitis and 26 children as positive for bone infarct (negative for osteomyelitis). The bone marrow signal intensity on T1-W fat-saturated imaging was not significant for the differentiation between bone infarct and osteomyelitis (P = 0.56). None of the additional evaluated imaging parameters on unenhanced MRI proved reliable in differentiating these diagnoses.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found that unenhanced T1-weighted fat-saturated MRI could not reliably differentiate between bone infarcts and acute osteomyelitis, as the bone marrow signal intensity was not statistically significant (P = 0.56) and no other imaging parameters proved reliable. Therefore, the results do not support the utility of this MRI sequence for clinical differentiation.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_16", "prompt": "Problem:\nQuestion: BCRABL transcript detection by quantitative real-time PCR : are correlated results possible from homebrew assays?\n\nContext:\nBACKGROUND: Quantitative real-time PCR has become the predominant molecular technique to monitor BCRABL levels in response to treatment in Ph(+) leukemia patients. However, without some form of standardized methodology between laboratories, the correlation of results is difficult.\nMETHODS: Using TaqMan-based assays, parallel quantitative real-time PCR analysis was performed on 70 clinical specimens at Vanderbilt University Medical Center and Virginia Commonwealth University. While the same positive control cell line (K562) and quality control gene (BCR) were used, the RNA isolation technique, cDNA synthesis, BCR control cell line, and PCR primer and probe sequences were different.\nRESULTS: The detection of BCRABL-positive results spanned a dynamic range from 10(0) to 10(5)/100,000 cells. Forty-three samples were negative at both facilities. A Spearman rank correlation analysis was performed for the 22 BCRABL-positive paired results. The correlation coefficient, r(s), was 0.9435 (p<0.00001), suggesting a strong correlation of the results. One discordant result was obtained for consecutive samples from one patient with a low BCRABL copy number as a result of a minimal RNA yield at one laboratory.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study demonstrates a strong Spearman rank correlation (r(s) = 0.9435, p < 0.00001) between BCRABL transcript levels detected by homebrew TaqMan assays at two independent laboratories, despite differences in RNA isolation, cDNA synthesis, and primer/probe sequences. Only one discordant result occurred, attributed to low RNA yield, not methodological failure. This indicates that despite non-standardized protocols, results are highly correlated in the majority of cases, supporting the feasibility of comparable results from homebrew assays.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_17", "prompt": "Problem:\nQuestion: The insertion allele of the ACE gene I/D polymorphism. A candidate gene for insulin resistance?\n\nContext:\nBACKGROUND: The insertion/deletion (ID) polymorphism of the angiotensin-converting enzyme (ACE) gene has been associated with increased coronary heart disease (CHD), although the mechanism of this association is not apparent. We tested the hypothesis that the deletion allele of the ACE gene is associated with insulin resistance.\nMETHODS AND RESULTS: We related ACE genotype to components of the insulin-resistance syndrome in 103 non-insulin-dependent diabetic (NIDDM) and 533 nondiabetic white subjects. NIDDM subjects with the DD genotype had significantly lower levels of specific insulin (DD 38.6, ID 57.1, and II 87.4 pmol.L-1 by ANOVA, P = .011). Non-insulin-treated subjects with the DD genotype had increased insulin sensitivity by HOMA % (DD 56.4%, II 29.4%, P = .027) and lower levels of des 31,32 proinsulin (DD 3.3, II 7.6 pmol.L-1, P = .012) compared with II subjects. There were no differences in prevalence of CHD or levels of blood pressure, serum lipids, or plasminogen activator inhibitor-1 (PAI-1) activity between the three ACE genotypes. In nondiabetic subjects there were no differences in insulin sensitivity, levels of insulin-like molecules, blood pressure, PAI-1, serum lipids, or CHD prevalence between the three ACE genotypes.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found that individuals with the DD genotype of the ACE gene had significantly lower levels of specific insulin, higher insulin sensitivity (as measured by HOMA %), and lower levels of des 31,32 proinsulin compared to those with the II genotype. These findings suggest a link between the deletion allele and improved insulin sensitivity, supporting the hypothesis that the ACE deletion allele is associated with insulin resistance (or rather, reduced insulin resistance). Since the question asks whether the insertion allele (which would be the I allele) is a candidate gene for insulin resistance, and the data show that the deletion (D) allele is associated with\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_18", "prompt": "Problem:\nQuestion: Is gastric cancer different in Korea and the United States?\n\nContext:\nPURPOSE: To compare the characteristics and prognoses of gastric cancers by tumor location in Korean and U.S. subjects after curative-intent (R0) resection for gastric cancer (GC).\nMETHODS: Data were collected for all patients who had undergone R0 resection at one U.S. institution (n = 567) and one South Korean institution (n = 1,620). Patients with gastroesophageal junction tumors or neoadjuvant therapy were excluded. Patient, surgical, and pathologic variables were compared by tumor location. Factors associated with disease-specific survival (DSS) were determined via multivariate analysis.\nRESULTS: In the Korean cohort, significantly more upper third GC (UTG) patients had undifferentiated, diffuse type, and advanced stage cancers compared to lower third GC (LTG) and middle third GC (MTG) patients. In the U.S. cohort, however, T stage was relatively evenly distributed among UTG, MTG, and LTG patients. The independent predictors of DSS in the Korean cohort were T stage, tumor size, retrieved and positive lymph node counts, and age, but in the U.S. cohort, the only independent predictors were T stage and positive lymph node count. Tumor size significantly affected DSS of Korean UTG patients but not U.S. UTG patients.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nYes, the study's results show that gastric cancer differs between Korea and the United States in terms of tumor characteristics (such as tumor type, stage distribution, and histology) and prognostic factors, with distinct patterns in upper third tumors and independent predictors of survival. These differences suggest variations in the clinical presentation and outcomes of gastric cancer between the two populations.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_19", "prompt": "Problem:\nQuestion: Does context matter for the relationship between deprivation and all-cause mortality?\n\nContext:\nBACKGROUND: A growing body of research emphasizes the importance of contextual factors on health outcomes. Using postcode sector data for Scotland (UK), this study tests the hypothesis of spatial heterogeneity in the relationship between area-level deprivation and mortality to determine if contextual differences in the West vs. the rest of Scotland influence this relationship. Research into health inequalities frequently fails to recognise spatial heterogeneity in the deprivation-health relationship, assuming that global relationships apply uniformly across geographical areas. In this study, exploratory spatial data analysis methods are used to assess local patterns in deprivation and mortality. Spatial regression models are then implemented to examine the relationship between deprivation and mortality more formally.\nRESULTS: The initial exploratory spatial data analysis reveals concentrations of high standardized mortality ratios (SMR) and deprivation (hotspots) in the West of Scotland and concentrations of low values (coldspots) for both variables in the rest of the country. The main spatial regression result is that deprivation is the only variable that is highly significantly correlated with all-cause mortality in all models. However, in contrast to the expected spatial heterogeneity in the deprivation-mortality relationship, this relation does not vary between regions in any of the models. This result is robust to a number of specifications, including weighting for population size, controlling for spatial autocorrelation and heteroskedasticity, assuming a non-linear relationship between mortality and socio-economic deprivation, separating the dependent variable into male and female SMRs, and distinguishing between West, North and Southeast regions. The rejection of the hypothesis of spatial heterogeneity in the relationship between socio-economic deprivation and mortality complements prior research on the stability of the deprivation-mortality relationship over time.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study's results show that, despite initial expectations of spatial heterogeneity, the relationship between deprivation and all-cause mortality does not vary significantly across regions in Scotland—whether in the West or elsewhere. The spatial regression models consistently find that deprivation is significantly associated with mortality without evidence of regional differences. This supports the idea that the relationship is uniform across contexts.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_20", "prompt": "Problem:\nQuestion: Autoxidation products of both carbohydrates and lipids are increased in uremic plasma: is there oxidative stress in uremia?\n\nContext:\nBACKGROUND: Advanced glycation end products (AGEs), formed by non-enzymatic glycation and oxidation (glycoxidation) reactions, have been implicated in the pathogenesis of several diseases, including normoglycemic uremia. AGE research in uremia has focused on the accumulation of carbohydrate-derived adducts generated by the Maillard reaction. Recent studies, however, have demonstrated that one AGE, the glycoxidation product carboxymethyllysine (CML), could be derived not only from carbohydrates but also from oxidation of polyunsaturated fatty acids in vitro, raising the possibility that both carbohydrate and lipid autoxidation might be increased in uremia.\nMETHODS: To address this hypothesis, we applied gas chromatography-mass spectrometry and high performance liquid chromatography to measure protein adducts formed in uremic plasma by reactions between carbonyl compounds and protein amino groups: pentosidine derived from carbohydrate-derived carbonyls, malondialdehyde (MDA)-lysine derived from lipid-derived carbonyls, and CML originating possibly from both sources.\nRESULTS: All three adducts were elevated in uremic plasma. Plasma CML levels were mainly (>95%) albumin bound. Their levels were not correlated with fructoselysine levels and were similar in diabetic and non-diabetic patients on hemodialysis, indicating that their increase was not driven by glucose. Pentosidine and MDA-lysine were also increased in plasma to the same extent in diabetic and non-diabetic hemodialysis patients. Statistical analysis indicated that plasma levels of CML correlated weakly (P<0.05) with those of pentosidine and MDA-lysine, but that pentosidine and MDA-lysine varied independently (P>0.5).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study demonstrates that multiple autoxidation products—derived from both carbohydrates (pentosidine, CML) and lipids (MDA-lysine)—are elevated in uremic plasma, independent of diabetes or glucose levels. The fact that CML, which can originate from both carbohydrate and lipid autoxidation, is increased and correlates weakly with both pentosidine and MDA-lysine, supports the presence of increased oxidative stress in uremia. Furthermore, the independence of pentosidine and MDA-lysine levels suggests parallel oxidative pathways involving both sources. This collective evidence points to widespread oxidative damage in ure\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_21", "prompt": "Problem:\nQuestion: Can clinicians use the PHQ-9 to assess depression in people with vision loss?\n\nContext:\nPURPOSE: To investigate whether the Patient Health Questionnaire-9 (PHQ-9) possesses the essential psychometric characteristics to measure depressive symptoms in people with visual impairment.\nMETHODS: The PHQ-9 scale was completed by 103 participants with low vision. These data were then assessed for fit to the Rasch model.\nRESULTS: The participants' mean +/- standard deviation (SD) age was 74.7 +/- 12.2 years. Almost one half of them (n = 46; 44.7%) were considered to have severe vision impairment (presenting visual acuity<6/60 in the better eye). Disordered thresholds were evident initially. Collapsing the two middle categories produced ordered thresholds and fit to the Rasch model (chi = 10.1; degrees of freedom = 9; p = 0.34). The mean (SD) items and persons Fit Residual values were -0.31 (1.12) and -0.25 (0.78), respectively, where optimal fit of data to the Rasch model would have a mean = 0 and SD = 1. Unidimensionality was demonstrated confirming the construct validity of the PHQ-9 and there was no evidence of differential item functioning on a number of factors including visual disability. The person separation reliability value was 0.80 indicating that the PHQ-9 has satisfactory precision. There was a degree of mistargeting as expected in this largely non-clinically depressed sample.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nYes, the study demonstrates that the PHQ-9 fits the Rasch model, shows unidimensionality, and has satisfactory person separation reliability (0.80) in individuals with low vision, with no evidence of differential item functioning related to visual disability. These psychometric properties support its use in assessing depression in people with vision loss.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_22", "prompt": "Problem:\nQuestion: Is gastric electrical stimulation superior to standard pharmacologic therapy in improving GI symptoms, healthcare resources, and long-term health care benefits?\n\nContext:\nCONTEXT: Severe upper gastrointestinal (GI) motor disorders, including gastroparesis (GP), can consume significant health care resources. Many patients are refractory to traditional drug therapy.\nOBJECTIVE: To compare symptoms, healthcare resource utilization and costs in two groups of patients with the symptoms of GP: those treated via gastric electrical stimulation (GES) and those treated with traditional pharmacological agents in an intensive outpatient program (MED).\nDESIGN: A long-term comparison of patients with devices (n = 9) vs intensive medical therapy (n = 9).\nSETTING AND PATIENTS: A total of 18 eligible patients with the symptoms of GP reported for 1-year baseline and long-term treatment for 3 years.\nINTERVENTIONS: Patients with the symptoms of GP were treated by a GES or intensive medical therapy (MED).\nMAIN OUTCOME MEASURES: GP Symptoms, healthcare resource utilization using investigator-derived independent outcome measure score (IDIOMS) and total hospital (inpatient and outpatient) billing costs.\nRESULTS: Gastrointestinal symptoms were significantly different from baseline (F = 3.03, P<0.017) with GP patients treated via GES showing more sustained improvement over 36 months than those treated via MED. Healthcare resource usage, measured via the IDIOMS, significantly improved at 12, 24 and 36 month follow-up for GES patients (F = 10.49, P<0.001), compared with patients receiving medical therapy, who demonstrated further deterioration. GP patients treated via GES also proved superior to medical therapy at 24 and 36 months with regard to decreased costs (F = 4.85, P<0.001). Within group comparisons indicated significantly reduced hospital days for both patient groups; however, no statistical differences were noted between groups in terms of hospital days. Three of nine patients in the MED group died primarily from i.v. access related problems; none of the GES patients died.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study demonstrates that gastric electrical stimulation (GES) led to significantly greater improvements in gastrointestinal symptoms, reduced healthcare resource utilization, and lower costs compared to intensive medical therapy over a 3-year period. GES patients also had better long-term outcomes, with no deaths attributed to the treatment versus deaths in the MED group related to i.v. access issues. These findings support the conclusion that GES is superior in improving GI symptoms, healthcare resource use, and long-term health care benefits.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_23", "prompt": "Problem:\nQuestion: Antral follicle assessment as a tool for predicting outcome in IVF--is it a better predictor than age and FSH?\n\nContext:\nPURPOSE: The purpose of this study is to determine if baseline antral follicle assessment may serve as additional information in predicting in vitro fertilization outcome.\nMETHODS: Prospective, descriptive preliminary study of in vitro fertilization outcome. From July 1998 to July 1999, 224 patients underwent antral follicle assessment (follicle 2-6 mm in diameter) on baseline of the planned, stimulated in vitro fertilization cycle. The outcomes were analyzed with respect to antral follicle assessment (<or = 6 or>6), basal cycle day 3 follicle stimulated hormone (<or = 10 or>10 IU/L) and maternal age (<or = 35 or>35 years).\nRESULTS: The clinical pregnancy rate was significantly higher in the group with baseline antral follicle>6 compared to that in the group with antral follicle<or = 6 (51% vs. 19%, respectively). Controlling for patient age, and basal follicle stimulated hormone, the pregnancy rate was significantly higher in the group with antral follicle>6 compared to that in the group with antral follicle<or = 6. The cancellation rate was significantly increased with advancing maternal age, elevated basal follicle stimulated hormone levels, and baseline antral follicle<or = 6. The cancellation rate was significantly higher in the group with antral follicle<or = 6 compared to that in the group with antral follicle>or = 6 (33% vs. 1%, respectively).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study demonstrates that baseline antral follicle count >6 is significantly associated with higher clinical pregnancy rates and lower cancellation rates, even when adjusting for age and FSH levels. This indicates that antral follicle assessment provides independent predictive value beyond age and FSH. Therefore, the results support the conclusion that antral follicle assessment is a better predictor than age and FSH in predicting IVF outcomes.\n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_24", "prompt": "Problem:\nQuestion: Is calibration the cause of variation in liquid chromatography tandem mass spectrometry testosterone measurement?\n\nContext:\nBACKGROUND: Testosterone measurement by liquid chromatography tandem mass spectrometry (LC-MS/MS) is well accepted as the preferred technique for the analysis of testosterone. Variation is seen between assays and this may be due to differences in calibration as commercial calibrators for this assay are not readily available. We investigated the effects calibration in routine clinical LC-MS/MS assays.\nMETHODS: All LC-MS/MS users that were registered with the UKNEQAS external quality assurance scheme for testosterone were invited to take part in the study. A set of seven serum samples and serum-based calibrators were sent to all laboratories that expressed an interest. The laboratories were instructed to analyse all samples using there own calibrators and return the results and a method questionnaire for analysis.\nRESULTS: Fifteen laboratories took part in the study. There was no consensus on supplier of testosterone or matrix for the preparation of calibrators and all were prepared in-house. Also, a wide variety of mass spectrometers, internal standards, chromatography conditions and sample extractions were used. The variation in results did not improve when the results were corrected with a common calibrator.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found that despite using different calibration methods, internal standards, and instrument settings, there was no improvement in result consistency when results were corrected with a common calibrator. This indicates that calibration differences alone do not explain the observed variation in testosterone measurements. Therefore, the results do not support calibration as the primary cause of variation.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_25", "prompt": "Problem:\nQuestion: Does birth center care during a woman's first pregnancy have any impact on her future reproduction?\n\nContext:\nBACKGROUND: Women's experiences of childbirth may affect their future reproduction, and the model of care affects their experiences, suggesting that a causal link may exist between model of care and future reproduction. The study objective was to examine whether the birth center model of care during a woman's first pregnancy affects whether or not she has a second baby, and on the spacing to the next birth.\nMETHODS: Between October 1989 and July 1993, a total of 1860 women at low medical risk in early pregnancy, who participated in a randomized controlled trial of in-hospital birth center care versus standard care, gave birth. The 1063 primiparas in the trial, 543 in the birth center group and 520 in the standard care group, were included in a secondary analysis in which women's personal identification codes were linked to the Swedish National Birth Register, which included information about their subsequent birth during the following 7 to 10 years. Time to an event curves were constructed by means of the Kaplan Meier method.\nRESULTS: The observation period after the first birth was on average 8.8 years in the birth center group and 8.7 years in the standard care group. No statistical difference was found between the groups in time to second birth, which was 2.85 and 2.82 years, respectively (median; log-rank 1.26; p=0.26).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study found no statistically significant difference in time to second birth between women who received birth center care and those who received standard care (2.85 years vs. 2.82 years, p = 0.26). There was also no difference in the likelihood of having a second baby. Therefore, the results do not support a causal impact of birth center care during a first pregnancy on future reproduction.\n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_26", "prompt": "Problem:\nQuestion: Should chest wall irradiation be included after mastectomy and negative node breast cancer?\n\nContext:\nPURPOSE: This study aims to evaluate local failure patterns in node negative breast cancer patients treated with post-mastectomy radiotherapy including internal mammary chain only.\nPATIENTS AND METHODS: Retrospective analysis of 92 internal or central-breast node-negative tumours with mastectomy and external irradiation of the internal mammary chain at the dose of 50 Gy, from 1994 to 1998.\nRESULTS: Local recurrence rate was 5 % (five cases). Recurrence sites were the operative scare and chest wall. Factors associated with increased risk of local failure were age<or = 40 years and tumour size greater than 20mm, without statistical significance.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study reports a low local recurrence rate (5%) in node-negative breast cancer patients treated with post-mastectomy radiation including the internal mammary chain, with no statistically significant risk factors identified beyond age ≤40 years and tumor size >20 mm. Since the study evaluates local failure patterns and shows favorable outcomes with chest wall irradiation (specifically including internal mammary chain), it supports the inclusion of chest wall irradiation in selected node-negative cases. However, the study does not explicitly assess standard chest wall irradiation versus limited or no irradiation, and the results are limited to internal mammary chain irradiation.\n\nGiven that the\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_27", "prompt": "Problem:\nQuestion: Does laparoscopic antireflux surgery improve quality of life in patients whose gastro-oesophageal reflux disease is well controlled with medical therapy?\n\nContext:\nOBJECTIVE: Both medical therapy and laparoscopic antireflux surgery have been shown to improve quality of life in gastro-oesophageal reflux disease. Although patients with poor symptom control or side effects on medical therapy might be expected to have improved quality of life after surgery, our aim was to determine, for the first time, whether patients whose symptoms are well controlled on medical therapy but who decide to undergo surgery (patient preference) would experience improved quality of life.\nMETHODS: Retrospective analysis of our patient database (1998-2003, n=313) identified 60 patients who underwent laparoscopic antireflux surgery for the indication of patient preference. Two generic quality-of-life questionnaires (Short Form 36 and Psychological General Well-Being index) and a gastrointestinal symptom questionnaire (Gastrointestinal Symptom Rating Scale) were completed preoperatively, while on medical therapy, and 6 months after surgery.\nRESULTS: Thirty-eight patients completed all three questionnaires at both time intervals: 31 males, seven females; mean age 42 (15-66) years. Preoperative scores while on medical therapy were significantly improved after surgery: Short Form 36 median physical composite scores 52.0 and 54.0 (P=0.034) and mental composite scores 51.0 and 56.0 (P=0.020); Psychological General Well-Being median total scores 78.0 and 90.0 (P=0.0001); Gastrointestinal Symptom Rating Scale median total scores 2.13 and 1.73 (P=0.0007) and reflux scores 2.50 and 1.00 (P<0.0001).\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nYes, the study shows that laparoscopic antireflux surgery improves quality of life even in patients with well-controlled gastro-oesophageal reflux disease on medical therapy, as evidenced by significant improvements in multiple quality-of-life and symptom scores post-surgery.  \n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_28", "prompt": "Problem:\nQuestion: Sternal skin conductance: a reasonable surrogate for hot flash measurement?\n\nContext:\nOBJECTIVE: This study aims to examine the accuracy of a new sternal skin conductance (SSC) device in measuring hot flashes and to assess the acceptability of the device by women.\nMETHODS: Three small descriptive pilot studies were performed using two sequential prototypes of the SSC device developed by an engineering device company in the Midwest. The devices were worn either in a monitored setting for 24 hours or in an ambulatory setting for 5 weeks. During the study period, women recorded hot flashes in a prospective hot flash diary and answered questions about the acceptability of wearing the SSC device.\nRESULTS: The first prototype was not able to collect any analyzable skin conductance data owing to various malfunction issues, including poor conductance and battery failure. However, 16 women wore the device for 5 weeks and reported that wearing the device was acceptable, although 31% stated that it interfered with daily activities. Hot flash data from the second prototype revealed a 24% concordance rate between self-reported and device-recorded hot flashes.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study reports a 24% concordance rate between self-reported and device-recorded hot flashes, indicating limited agreement. This low concordance suggests that sternal skin conductance is not a reliable or accurate surrogate for measuring hot flashes. While the device was deemed acceptable by participants, the poor accuracy in detecting hot flashes undermines its validity as a measurement tool.  \n\nFinal answer: no\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: no", "visible_output": "Final answer: no", "has_think_close": false, "predicted_answer": "no", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_29", "prompt": "Problem:\nQuestion: Is lumbar drainage of postoperative cerebrospinal fluid fistula after spine surgery effective?\n\nContext:\nMETHODS: Postoperative CSF fistulas were described in 16 of 198 patients (8%) who underwent spine surgery between 2009 and 2010. The choice of the therapeutic strategy was based on the clinical condition of the patients, taking into account the possibility to maintain the prone position continuously and the risk of morbidity due to prolonged bed rest. Six patients were treated conservatively (position prone for three weeks), ten patients were treated by positioning an external CSF lumbar drainage for ten days. The mean follow-up period was ten months.\nRESULTS: All patients healed their wound properly and no adverse events were recorded. Patients treated conservatively were cured in a mean period of 30 days, while patients treated with CSF drainage were cured in a mean period of 10 days.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nThe study shows that patients treated with lumbar drainage healed their CSF fistulas in a mean of 10 days, compared to 30 days in the conservative group, with no adverse events. This indicates a faster healing time with lumbar drainage, suggesting effectiveness.  \n\nFinal answer: yes\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}
+{"id": "pubmedqa_eval_30", "prompt": "Problem:\nQuestion: Prostatic syndrome and pleural effusion: are they different diseases?\n\nContext:\nOBJECTIVE: To report an uncommon association of prostate and lung cancer.\nMETHODS: The characteristics of both tumors, their association with tumors in other sites and the time of presentation are analyzed.\nRESULTS: Both tumors were in the advanced stages. Metastatic carcinoma of the prostate was discarded due to the form of presentation.\n\nUse PubMedQA labels: answer `yes` if the study's results overall support the question, `no` if they overall do not, and `maybe` only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose `maybe` just because the study is small, limited, or cautious. Give one short evidence-based answer. End with a final line exactly in the form `Final answer: yes`, `Final answer: no`, or `Final answer: maybe`.\n\nDraft reasoning:\nProstatic syndrome and pleural effusion are not diseases themselves but clinical manifestations; prostatic syndrome typically refers to a group of symptoms related to prostate dysfunction, while pleural effusion is a fluid accumulation in the pleural space, often due to underlying conditions like cancer. The study reports an uncommon association of prostate and lung cancer, noting both tumors were in advanced stages and that metastatic prostate cancer was ruled out based on presentation. This implies the pleural effusion was likely due to lung cancer, not prostate disease. Therefore, the study shows these are distinct clinical entities with different etiologies, not the same disease.  \n\nFinal answer\n\nUse the PubMedQA labeling rule: answer yes if the study's results overall support the question, no if they overall do not, and maybe only if the paper contains both supporting and opposing cases or multiple interventions/entities with different answers. Do not choose maybe just because the study is small, limited, or cautious. Return only the final answer.\nDo not explain.", "assistant_prefill": "Final answer: ", "model_ref": "mlx-community/Qwen3-4B-Instruct-2507-8bit", "raw_output": "Final answer: yes", "visible_output": "Final answer: yes", "has_think_close": false, "predicted_answer": "yes", "sampler": {"temperature": 0.7, "top_p": 0.8, "top_k": 20, "min_p": 0.0, "max_new_tokens": {"aime": 16, "pubmedqa": 8, "other": 16}, "effective_max_new_tokens": 8}}

runs/20260322T061653Z/interrupted_prefilled_aime_benchmark/iteration_01/baseline/instruct/pubmedqa_metrics.json

@@ -0,0 +1,6 @@
+{
+  "benchmark": "pubmedqa",
+  "total": 30,
+  "correct": 19,
+  "accuracy": 0.6333333333333333
+}