id stringlengths 31 70 | setting_key stringclasses 167
values | difficulty stringclasses 4
values | level int32 1 7 | messages dict | ground_truth stringlengths 1 19 | dataset stringclasses 1
value | omega_split stringclasses 1
value |
|---|---|---|---|---|---|---|---|
math_arithmetic_matrix_svd_level_7_7_968 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded largest singular value in the SVD of the following matrix?\n[[6, 3, -7, -21, -26, -18, 5, 6, -9, 10, -8, 6],\n [-22, -15, -26, -21, -10, -19, -22, 8, 1, -12, 1, -3],\n [-1, -19, 8, -11, -20, -10, 24, 8, 4, -20, 24, -24],\n [-9, 26, 0, -10, 5, -16, -1... | 90 | math | train |
math_arithmetic_matrix_svd_level_7_7_969 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[18, 10, -15, 26, 8, 5, -25, 6, -9, 20, -11, -2],\n [-1, -22, -11, 17, -11, -16, -19, -24, 26, -11, -20, 1],\n [-25, 24, 8, 4, -16, 14, -16, -26, 3, 3, 6, -15],\n [-17, ... | 90 | math | train |
math_arithmetic_matrix_svd_level_7_7_970 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[1, 13, 16, 10, -6, -12, 6, 26, 22, -15, 3, -23],\n [12, -16, 17, 0, 21, -9, -13, -12, 22, 7, -4, 8],\n [-22, -26, -1, -17, -12, 5, 15,... | 89 | math | train |
math_arithmetic_matrix_svd_level_7_7_971 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[14, -6, 26, -24, 5, -21, -20, 24, -12, 7, 19, 19],\n [-15, -9, -2, 11, -25, -6, -4, 6, 0, 16, 2, 20],\n [11, -10, -19, -6,... | 84 | math | train |
math_arithmetic_matrix_svd_level_7_7_972 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-4, -19, -14, 7, 15, -10, 21, 17, 11, -12, 4, 20],\n [21, -24, 18, 23, 8, 9, -22, -1, -1, 25, -3, -21],\n [-20, 25, 1, 18, -13, 12, -6, -16, -15, 23, 23, 7],\n [8, 25, -20, 26, -4, -26... | 570 | math | train |
math_arithmetic_matrix_svd_level_7_7_973 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[1, -15, 13, -6, 18, 7, 7, 9, 23, -24, 12, -21],\n [-26, 14, -15, 12, -26, -7, 9, 11, 21, 20, -24, 23],\n [24, 18, -7, 19, 19, -19, -16, 17, -26, 3, 14,... | 87 | math | train |
math_arithmetic_matrix_svd_level_7_7_974 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded sum of all singular values from the SVD of:\n[[-26, -15, -4, -19, 6, -15, -10, 3, 12, 16, -14, -6],\n [-18, 1, -20, -9, 23, 15, 6, 19, -4, 26, -26, 12],\n [-8, -8, -23, -20, 2, 21, 12, -16, 2, -19, 18, -18],\n [-22, 4, -17, 16, -3, -10, 20, -16, 7,... | 532 | math | train |
math_arithmetic_matrix_svd_level_7_7_975 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-1, 16, -26, 12, 16, 5, 21, 24, 1, -3, -14, 6],\n [-15, 6, -13, -14, 21, 10, 0, -23, -23, 13, 20, -11],\n [12, 13, -9, -11, 20, 4, -1,... | 102 | math | train |
math_arithmetic_matrix_svd_level_7_7_976 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-12, -8, -23, 8, 10, -15, 4, -11, 13, -6, -7, 23],\n [-5, 17, -22, -19, -19, 6, 0, 3, 1, 13, 24, -9],\n [25, -17, 13, -14, 10, 16, 13, 24, -4, -8, -4, 14],\n [-11, -15... | 515 | math | train |
math_arithmetic_matrix_svd_level_7_7_977 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[5, -21, 24, -17, 18, -11, -25, -19, 14, 12, -22, 3],\n [-19, 2, -24, -14, 25, 0, 24, -15, 24, 13, 24, -21],\n [12, 22, -12, 19, 20, -19, 13, 25, -3, 5, 4, 11],... | 94 | math | train |
math_arithmetic_matrix_svd_level_7_7_978 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[12, -25, -7, -7, 20, 12, 24, 5, -24, -1, 14, -15],\n [23, -24, 1, -18, -1, -21, -22, -18, 19, 7, 1, -1],\n [8, -26, -23, -14, 13, 26, -6, -9, -7, -23, 5, 0],\n [-2, -20, 1... | 85 | math | train |
math_arithmetic_matrix_svd_level_7_7_979 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[17, 23, -12, 11, 0, 15, -10, -17, 9, 13, -22, 24],\n [23, 21, 0, 1, -23, -20, -19, -12, 14, 2, 12, -18],\n [-7, -26, -20, 7, 20, -17, 14, 21, -21, -2, -15, 13],\n [14,... | 571 | math | train |
math_arithmetic_matrix_svd_level_7_7_980 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded sum of all singular values from the SVD of:\n[[15, 17, -6, -25, -14, 5, -14, 2, -22, -1, 11, 5],\n [21, -9, -10, -7, -12, -12, 20, -23, -18, 17, 19, 6],\n [-17, 20, 16, -26, 13, 26, -18, -5, -1, 8, 6, -17],\n [11, -8, -23, -8, -20, -15, 0, 5, 0, -6... | 565 | math | train |
math_arithmetic_matrix_svd_level_7_7_981 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 2, 25, -2, -23, 0, 15, -5, -3, 26, -8, 14],\n [0, -8, 20, 14, -14, 4, -25, 0, -19, -15, 2, 2],\n [-5, 3, -18, -22, 9, -14, 20, -25, 6, -23, -17, 6],\n [-25, -15, -11, 8, -18, -24, 1, 25, -11, 13, -... | 517 | math | train |
math_arithmetic_matrix_svd_level_7_7_982 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded sum of all singular values in the SVD of the following matrix?\n[[21, -18, 4, -8, 16, 7, -11, -3, -11, -12, 4, 25],\n [-20, 17, -12, -25, 12, 25, -5, -3, -2, -15, 25, 24],\n [-13, 7, 19, -7, -13, -9, 8, -10, 21, 18, -4, -5],\n [22, 4, 2, -2, 5, 4, -2... | 551 | math | train |
math_arithmetic_matrix_svd_level_7_7_983 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[24, -21, 15, -19, -1, -17, 11, 17, -26, -25, 16, 8],\n [-26, -23, -24, -3, -10, 0, -2, -7, 12, 17, 24, 3],\n [-21, -20, 0, -22, -1, 9, -16, 15, -4, -24... | 99 | math | train |
math_arithmetic_matrix_svd_level_7_7_984 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded sum of all singular values from the SVD of:\n[[22, -12, 18, 20, 23, -10, -18, -25, 23, 26, 14, 2],\n [24, 15, 19, 4, 5, -26, 3, 1, -1, -9, -26, 14],\n [25, 21, -8, 8, 6, -19, 25, 22, 0, 10, 15, -19],\n [17, 21, 5, -8, 3, 9, -17, 9, -11, -24, -5, 24... | 546 | math | train |
math_arithmetic_matrix_svd_level_7_7_985 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[21, -7, 4, 9, -3, -5, -18, 22, -10, 7, 26, -16],\n [-21, 24, 22, -4, 21, 22, 20, 18, 22, 13, -1, -18],\n [-19, 22, 25, 19, -1, 25, -15, 6, 18, -20, -11, -1... | 559 | math | train |
math_arithmetic_matrix_svd_level_7_7_986 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded sum of all singular values from the SVD of:\n[[-25, -13, -10, 23, -9, -10, 13, 4, 15, 4, 9, -8],\n [5, -10, -3, 18, 13, -23, -22, 25, 26, 20, 25, 14],\n [-26, -1, 15, -24, -4, -14, -5, 4, -19, 3, 19, -15],\n [-5, 16, -12, 3, -3, 22, -2, 26, -25, -2... | 590 | math | train |
math_arithmetic_matrix_svd_level_7_7_987 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[17, 3, -5, 5, -15, 3, -22, -25, -21, 16, 16, 8],\n [-17, -11, 21, -5, 24, -13, 13, -11, 21, 12, -26, -11],\n [-7, 5, -25, -5, -22, -25, 22, 12, 17, 14, 5, ... | 543 | math | train |
math_arithmetic_matrix_svd_level_7_7_988 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-6, -26, 18, 22, 15, -9, 22, -4, -11, 20, 15, -2],\n [-22, -16, 16, 19, -21, 20, -13, 17, -1, 0, -13, 16],\n [2, -9, -9, -13, -20, 1, -22, 22, 13, 22, -12, 22],\n [7, ... | 574 | math | train |
math_arithmetic_matrix_svd_level_7_7_989 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded largest singular value from the SVD of:\n[[24, 5, 18, 23, 26, -25, 1, -22, -13, 18, -17, 17],\n [5, 11, 20, 1, -26, -24, 12, -2, 3, 9, 11, 3],\n [-12, 4, 16, -2, -4, 19, -1, 23, -5, -11, -10, 0],\n [-10, -10, -7, -25, 9, -4, 1, -1, 16, 23, 18, 24],... | 86 | math | train |
math_arithmetic_matrix_svd_level_7_7_990 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-26, -5, 19, -23, 25, 8, 23, 25, 12, 6, -11, 18],\n [8, -15, 9, 24, 19, -20, -23, -15, -20, 19, -12, -21],\n [-10, -10, 17, -23, -20, 9, -20, 11, 9, 15, 6, -4]... | 101 | math | train |
math_arithmetic_matrix_svd_level_7_7_991 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[10, 8, 19, 0, 11, 8, -20, 11, -7, -4, 23, 2],\n [26, -5, -6, 15, -22, 13, 26, 20, 21, 16, -17, 6],\n [-26, 22, 9, -11, -8, -22, -4, -24, 19, 23, -9, -24],\n [15, 24, -... | 552 | math | train |
math_arithmetic_matrix_svd_level_7_7_992 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[13, 14, -25, 18, -13, 22, 1, -17, 11, 1, -14, 1],\n [18, -10, -22, 20, -22, -8, 7, 14, 16, 12, 4, -2],\n [24, -26, 23, -5, 11, 21, 2, ... | 95 | math | train |
math_arithmetic_matrix_svd_level_7_7_993 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded largest singular value from the SVD of:\n[[-1, -6, 12, -23, 10, 22, 16, -23, 23, -4, -18, 13],\n [-3, 2, -20, -9, -25, 1, 16, 14, 2, 18, -10, 4],\n [-10, 4, -4, -17, -21, 11, 20, 0, -16, -7, 19, -22],\n [5, -22, -5, -26, -7, 24, -12, -16, 5, 1, 1, ... | 93 | math | train |
math_arithmetic_matrix_svd_level_7_7_994 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded sum of all singular values in the SVD of the following matrix?\n[[12, -25, -15, 12, 13, 4, 2, -19, -12, -1, 21, 9],\n [14, -23, 23, 6, -15, 23, 26, -16, 3, 26, 18, -1],\n [23, 3, 9, 6, 18, 4, -25, -12, -25, 26, -15, -9],\n [-19, -24, 8, 6, 4, -23, -4... | 590 | math | train |
math_arithmetic_matrix_svd_level_7_7_995 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Calculate the rounded largest singular value from the SVD of:\n[[14, -23, -2, -24, -17, -22, -15, 7, -15, 26, 11, -12],\n [-6, -23, -16, -17, -20, -18, -9, 20, 0, 16, 1, 5],\n [-17, 7, -22, -7, 3, 6, -8, -25, -9, -13, -22, -9],\n [18, 24, -12, -4, 23, -23, 7, -3, -15, 2... | 92 | math | train |
math_arithmetic_matrix_svd_level_7_7_996 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[5, 25, 11, 7, 7, 4, 4, 5, 9, -5, -8, 18],\n [8, 11, 15, -12, 11, -19, 5, 9, 10, 3, 24, 21],\n [-4, 16, -20, -5, 9, 12, 1, -15, -24, 18, 11, 17],\n [9, -6, -5, -4, -20,... | 525 | math | train |
math_arithmetic_matrix_svd_level_7_7_997 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-26, -7, -9, -18, 5, -10, -8, 22, -14, -26, 18, 11],\n [17, 11, 9, -17, 8, -1, 21, 6, 13, -19, -7, -25],\n [12, 13, 1, 2, 26, -2, -1, -19, 3, 25, -26, 1],\n [3, -14, 14, 22, -6, -6, 13... | 554 | math | train |
math_arithmetic_matrix_svd_level_7_7_998 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[17, 21, 21, 22, 15, 15, 8, -16, 1, 17, -7, -25],\n [14, 6, 9, -17, 18, -8, -2, 0, 8, -4, 16, 7],\n [-19, -25, -2, -18, -2, 18, 2, -5, -13, 25, 21, 16],\n [... | 527 | math | train |
math_arithmetic_matrix_svd_level_7_7_999 | arithmetic_matrix_svd7 | expert (level 6,7) | 7 | {
"role": [
"user"
],
"content": [
"Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[21, -7, 0, -25, 25, 2, -21, -7, 10, -8, -16, 21],\n [-9, 12, -5, 24, -13, 15, -21, -6, -19, -9, -5, -21],\n [8, 8, 19, 18, 26, -18, -11, -16, 21, -6, 15, -4],\n [18, -7, -... | 86 | math | train |
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