id string | setting_key string | difficulty string | level int32 | messages dict | ground_truth string | dataset string | omega_split string |
|---|---|---|---|---|---|---|---|
math_arithmetic_matrix_determinant_level_6_6_200 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-2, 28, 20, -24, 14, -22, 3, -11, 3, -9],\n [-11, 15, -23, 0, -11, 25, 1, 27, 2, -19],\n [-26, -20, -12, -3, 0, 27, -23, -25, -12, 25],\n [-11, -27, 6, 2, -22, 23, -22, 5, -14, -23],\n [5, 4, 7, 25, 13, 21, -20, -19, -16, 22],\n [-12, 2... | 132 | math | train |
math_arithmetic_matrix_determinant_level_6_6_201 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[3, -23, 21, -28, -22, -19, 30, 3, -22, -23],\n [-10, 11, 18, 24, -3, -1, -30, 25, 24, 30],\n [0, 12, -5, 23, -10, 15, -3, -12, 26, 11],\n [1, 20, 29, -11, 23, 9, 17, 26, 23, 5],\n [-14, -14, 22, -19, 18, 22, 17, 14, 2, 27],\n [30, -17, ... | 619 | math | train |
math_arithmetic_matrix_determinant_level_6_6_202 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-22, -18, 10, 22, 23, 27, 18, -22, 5, -18],\n [-1, 15, -14, 27, -4, 13, 13, 23, -8, -1],\n [20, 22, 5, -22, -13, 29, -4, 11, 16, -22],\n [-28, 26, 20, -4, 22, -29, 7, 23, 1, -23],\n [-1, 18, 1, -14, -29, 3, 25, -22, -13, 8],\n [... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_203 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[8, -20, 3, 11, -25, 21, -6, 28, 2, 0],\n [0, 14, -14, 9, -1, -14, 24, 28, 10, -15],\n [0, 0, 30, 29, -8, 13, -7, 2, -18, 2],\n [0, 0, 0, 21, 5, -28, -6, 22, 16, -24],\n [0, 0, 0, 0, 13, 24, -16, 16, 18, -17],\n [0, 0, 0, 0, 0, -... | 80 | math | train |
math_arithmetic_matrix_determinant_level_6_6_204 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, 27, 29, -2, 17, -2, 28, 5, 6, 22],\n [0, 3, -4, -17, -4, 21, -19, -9, -7, -12],\n [0, 0, -15, 12, -21, 30, 4, -9, 17, 10],\n [0, 0, 0, -8, 30, -8, 3, -25, -1... | 640 | math | train |
math_arithmetic_matrix_determinant_level_6_6_205 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, -2, 20, 21, -13, -6, 14, -14, 12, -23],\n [4, -8, -15, 30, 3, -1, 2, 11, 25, -8],\n [-12, 11, -22, -21, -20, -29, -29, -18, -14, -2],\n [15, 15, 2, 13, 21, -... | 567 | math | train |
math_arithmetic_matrix_determinant_level_6_6_206 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 12, -11, -4, 2, 27, 29, 10, -8, 0],\n [0, -20, -30, -20, 9, 30, 4, 13, -11, -24],\n [0, 0, 21, -22, -20, -9, 15, 30, 25, 2],\n [0, 0, 0, -30, -4, 25, 0,... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_207 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 8, -20, -1, 30, -2, 9, -29, 23, -7],\n [0, 19, -22, -21, 7, 17, 16, 25, -7, -2],\n [0, 0, -14, 9, -12, -29, 3, 26, 21, -4],\n [0, 0, 0, 15, 24, -5, 28, -19, 1... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_208 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[16, 18, 24, -24, -6, -23, 0, 13, -6, -5],\n [18, 25, -14, -8, -10, 13, -14, 6, 27, 10],\n [24, -14, -17, -5, -19, -8, 22, 18, -10, -11],\n [-24, -8, -5, 0, -2, 22, -5, -4, -24, -3],\n [-6, -10, -19, -2, -18, 4, -4, -6, 13, -6],... | 296 | math | train |
math_arithmetic_matrix_determinant_level_6_6_209 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, 22, 8, -11, -21, 7, 0, 21, 20, -6],\n [0, 26, -5, -18, -23, 3, 29, -3, -11, 21],\n [0, 0, -24, -8, 11, 29, 29, -4, -1, -20],\n [0, 0, 0, -6, -27, 22, 2... | 800 | math | train |
math_arithmetic_matrix_determinant_level_6_6_210 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 12, -2, -27, 6, -13, -7, -10, 4, -28],\n [12, -14, -17, 6, 7, 11, -12, 14, 26, 13],\n [-2, -17, -6, -25, -1, 2, 3, -13, -4, -1],\n [-27, 6, -25, 7, -18, ... | 333 | math | train |
math_arithmetic_matrix_determinant_level_6_6_211 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-3, 30, 17, -6, -7, 26, -30, -9, -22, -28],\n [0, 9, 16, -26, 22, 19, -2, -27, -9, 20],\n [16, 1, -2, 5, 12, 20, -8, 12, 18, 5],\n [21, 0, 11, -23, 14, 30, -29, 14, 3, 14],\n [18, -12, -6, -10, -24, 19, 28, 15, 6, -15],\n [20, -13, 28, ... | 541 | math | train |
math_arithmetic_matrix_determinant_level_6_6_212 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, 2, -19, -9, 8, 6, -4, 20, 8, -14],\n [2, -13, 3, 0, -16, 0, -10, 2, -18, -14],\n [-19, 3, -29, -4, 9, 22, 9, 1, 0, 22],\n [-9, 0, -4, 30, -12, -10, 15, 6, -12... | 15 | math | train |
math_arithmetic_matrix_determinant_level_6_6_213 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, 6, 15, -7, 0, -12, -3, 12, 1, -3],\n [6, 26, -10, -8, 4, 4, 24, 14, -6, -14],\n [15, -10, -28, 2, 10, -18, -10, -13, 7, 10],\n [-7, -8, 2, -28, 4, 18, -... | 595 | math | train |
math_arithmetic_matrix_determinant_level_6_6_214 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -11, 18, -22, -20, 1, 26, 20, -9, -6],\n [0, 29, 4, -4, 2, -9, -24, -12, -2, 3],\n [0, 0, 4, 26, -13, 22, -17, -7, -1, 4],\n [0, 0, 0, -8, -28, 3, -2, ... | 200 | math | train |
math_arithmetic_matrix_determinant_level_6_6_215 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, 22, -6, -13, -16, -15, -14, 24, -1, 15],\n [0, 8, -29, -22, 16, 20, -20, -5, 0, -7],\n [0, 0, 9, 20, 21, -16, 14, 18, 22, -5],\n [0, 0, 0, 13, -28, 1, -21, 1... | 160 | math | train |
math_arithmetic_matrix_determinant_level_6_6_216 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-18, 6, 12, 2, -22, -9, 6, -7, 2, -6],\n [6, 20, -7, -19, 16, 0, 6, 16, 12, 24],\n [12, -7, -2, 2, 0, -9, -1, 0, -6, -22],\n [2, -19, 2, -27, -24, 14, 14, -11, 4, -16],\n [-22, 16, 0, -24, 20, -2, -10, -4, -18, -11],\n [-9, 0, ... | 607 | math | train |
math_arithmetic_matrix_determinant_level_6_6_217 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-20, 4, -15, -11, 8, -10, 0, -18, -14, 14],\n [4, -14, 4, 3, 10, 7, 18, -1, -14, 27],\n [-15, 4, 28, -4, 8, 5, -22, -24, -18, -10],\n [-11, 3, -4, 28, 17, 22, 0, -5, 16, 22],\n [8, 10, 8, 17, -25, 4, -4, -18, 8, -13],\n [-10, 7... | 190 | math | train |
math_arithmetic_matrix_determinant_level_6_6_218 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -24, 9, 12, -3, 30, 23, -15, -8, -23],\n [0, -13, -15, 29, -24, 3, -8, 26, -16, -28],\n [0, 0, -14, 21, 22, 26, -20, -2, 23, 12],\n [0, 0, 0, -4, 17, 30... | 888 | math | train |
math_arithmetic_matrix_determinant_level_6_6_219 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -8, -22, -30, 15, 2, 27, -8, -3, 2],\n [-1, 19, 18, 8, 23, -27, -2, -11, -6, 16],\n [8, 14, -29, -21, -27, 17, 10, 16, 15, -4],\n [23, 30, 23, 22, 1, -1... | 330 | math | train |
math_arithmetic_matrix_determinant_level_6_6_220 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-7, -4, -4, -24, 25, -6, 1, 7, 26, 30],\n [28, -7, -12, -26, -21, 9, 9, 4, 14, 13],\n [-28, -21, -4, -19, 4, 3, 19, -15, -30, 18],\n [-11, 29, 29, -8, 15, 17, 27, 12, -3, 13],\n [30, -7, -23, -16, -15, -8, -27, 3, -15, -5],\n [2... | 477 | math | train |
math_arithmetic_matrix_determinant_level_6_6_221 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, -21, -27, -11, 4, -25, -9, 27, -5, 9],\n [30, 0, 12, 10, -30, -24, 6, -29, -13, 28],\n [13, -17, -24, 23, -16, -16, 7, 7, 26, 17],\n [9, -29, 21, 12, 25... | 432 | math | train |
math_arithmetic_matrix_determinant_level_6_6_222 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[10, 18, -12, -9, -13, -26, -2, -22, 25, -21],\n [0, -10, 15, -4, -26, 14, -22, -28, -6, 8],\n [0, 0, 16, 0, -4, 4, 2, 28, -3, 19],\n [0, 0, 0, -5, 9, 4, -28, -21, -15, 17],\n [0, 0, 0, 0, 28, 14, -18, 18, -29, -8],\n [0, 0, 0, 0, 0, -15... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_223 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-25, -2, 23, -4, 20, -9, -10, 12, 10, -15],\n [-2, 17, -18, 1, 9, -6, 0, 21, -6, 8],\n [23, -18, -10, 18, 3, -13, 0, -21, -18, 4],\n [-4, 1, 18, -26, 0, -2,... | 609 | math | train |
math_arithmetic_matrix_determinant_level_6_6_224 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 0, 2, -7, 13, 8, -4, -14, 16, 20],\n [0, -5, 22, -26, 18, 9, -11, 14, -2, -18],\n [2, 22, 2, 17, -8, -7, -4, -10, 21, -4],\n [-7, -26, 17, 3, -8, -18, -... | 500 | math | train |
math_arithmetic_matrix_determinant_level_6_6_225 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 23, 22, 0, 23, 0, 29, 14, 16, -2],\n [0, -16, 6, 23, 23, -29, -6, 3, -15, 21],\n [0, 0, 7, 15, 23, 21, 0, -12, -25, -6],\n [0, 0, 0, 12, -17, 20, -17, 24, -25... | 400 | math | train |
math_arithmetic_matrix_determinant_level_6_6_226 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -1, 10, 10, -27, -6, -4, -12, 7, -15],\n [-1, -30, 12, -11, 2, 26, 16, -14, 16, -4],\n [10, 12, 29, -6, 2, -1, -10, -26, 7, -1],\n [10, -11, -6, 29, -25, -2, ... | 28 | math | train |
math_arithmetic_matrix_determinant_level_6_6_227 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -20, -26, 13, -15, -14, -2, 16, 10, 14],\n [-20, -5, 14, -11, -15, 14, 2, -12, -25, -2],\n [-26, 14, 20, 4, -6, -12, 0, -4, 10, 0],\n [13, -11, 4, 20, ... | 756 | math | train |
math_arithmetic_matrix_determinant_level_6_6_228 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[16, 14, 27, -2, 24, 6, 26, -15, 4, -27],\n [-19, 20, -4, -4, -7, 6, 2, -14, -30, -17],\n [-11, -16, -21, 14, 23, 9, 6, -12, 18, 20],\n [8, 23, 4, 11, -11, -8, -15, 6, -25, 10],\n [-5, -21, 30, -8, 7, -16, -14, 16, -12, 5],\n [15... | 198 | math | train |
math_arithmetic_matrix_determinant_level_6_6_229 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-29, -16, 2, 27, 1, 8, -4, -10, 6, 11],\n [-16, -25, 2, 15, 4, -9, -4, -23, -18, -4],\n [2, 2, -19, -18, 14, 16, -8, 20, -12, 22],\n [27, 15, -18, -10, -2, -10, -17, 8, 20, -8],\n [1, 4, 14, -2, 10, 6, -4, -2, -22, 2],\n [8, -9, 16, -10... | 254 | math | train |
math_arithmetic_matrix_determinant_level_6_6_230 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, 10, -3, -21, 13, -14, -5, 24, -14, 20],\n [1, -21, -28, -14, -23, -2, -14, -25, 8, 21],\n [2, 28, 7, 13, 21, 25, -30, 29, -30, -26],\n [-27, -26, 5, -22... | 271 | math | train |
math_arithmetic_matrix_determinant_level_6_6_231 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[21, -23, -8, -24, -26, 13, 4, 23, -10, -8],\n [10, 20, 2, 24, -25, 12, -3, -18, 29, -19],\n [-24, -16, 26, -25, 9, -16, 28, -29, 24, 6],\n [-5, 19, -11, 23,... | 435 | math | train |
math_arithmetic_matrix_determinant_level_6_6_232 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[4, -8, 9, 0, -26, 16, -9, 2, -17, -16],\n [-8, 5, 0, 2, 2, -8, -25, 6, -14, -24],\n [9, 0, 23, -6, -10, 4, -22, 6, 8, 24],\n [0, 2, -6, 29, 12, -13, 4, 10, -5, 26],\n [-26, 2, -10, 12, 3, -16, 14, 5, -7, 8],\n [16, -8, 4, -13, -16, -28,... | 730 | math | train |
math_arithmetic_matrix_determinant_level_6_6_233 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, -5, 4, 0, -8, -12, -29, -6, 10, 0],\n [-5, 26, -11, -10, 10, 28, -6, -23, -2, 2],\n [4, -11, 8, 4, 14, -3, 2, 5, 16, -5],\n [0, -10, 4, 5, -14, -4, 26, 18, 22,... | 631 | math | train |
math_arithmetic_matrix_determinant_level_6_6_234 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-24, -8, 8, 8, 7, -4, 22, -2, 22, 1],\n [-8, -24, 22, -4, -15, 22, -11, -26, -7, 18],\n [8, 22, 26, 20, 3, -16, 4, -12, -8, 25],\n [8, -4, 20, -3, -20, -10, -20, 13, 24, 10],\n [7, -15, 3, -20, -21, -12, 28, 0, 18, 8],\n [-4, 22, -16, -... | 712 | math | train |
math_arithmetic_matrix_determinant_level_6_6_235 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-5, -12, -8, -11, 25, 5, -9, 1, -23, 21],\n [0, 7, 21, 2, 30, 22, -10, -2, 25, 6],\n [0, 0, 22, -29, -16, 23, -29, 3, -28, 19],\n [0, 0, 0, 20, -28, -19, 30, -27, 16, -2],\n [0, 0, 0, 0, -18, 26, -13, 7, 7, -3],\n [0, 0, 0, 0, ... | 200 | math | train |
math_arithmetic_matrix_determinant_level_6_6_236 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[19, 10, 16, 21, -6, 20, -12, 2, 24, 0],\n [10, -17, 2, -21, 8, -17, -2, 2, 10, -10],\n [16, 2, 3, -8, -1, -14, -14, 1, -14, 26],\n [21, -21, -8, 1, -23, -18, 20, 20, 22, -2],\n [-6, 8, -1, -23, 9, 8, 3, 6, 9, -6],\n [20, -17, -... | 526 | math | train |
math_arithmetic_matrix_determinant_level_6_6_237 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 5, -21, 10, 28, 10, -5, -10, 29, 10],\n [5, 22, 15, 2, -12, 16, -13, 6, 14, 21],\n [-21, 15, 5, 0, -6, -16, 2, 20, 20, 5],\n [10, 2, 0, 8, -18, -2, 28, 20, 6... | 460 | math | train |
math_arithmetic_matrix_determinant_level_6_6_238 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-13, -7, 18, -7, -28, -26, -19, -17, -6, 10],\n [-16, -6, 2, 3, 7, -19, -9, 17, -12, -7],\n [3, -16, -10, -17, 22, 0, 11, 13, 19, -21],\n [-27, -2, -2, -14, -25, -5, -26, -6, 20, 7],\n [20, 9, 5, -29, -18, 16, -22, -27, -14, 21],\n [22,... | 629 | math | train |
math_arithmetic_matrix_determinant_level_6_6_239 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[27, 1, 16, -17, -11, -29, 25, 24, 16, -29],\n [-2, 14, -6, 29, 2, -1, -19, 0, 9, -29],\n [-21, -27, -7, 14, 22, 18, -1, 6, 1, -11],\n [19, 13, -24, 24, -15, 15, 13, 1, -14, 16],\n [13, 15, 9, 28, 9, -23, -8, -20, 14, -25],\n [-... | 732 | math | train |
math_arithmetic_matrix_determinant_level_6_6_240 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 1, -22, -21, -22, -2, -3, -6, -2, 10],\n [1, 21, 2, 6, -14, -7, -4, 13, 14, 1],\n [-22, 2, 3, -10, -2, -8, -2, -28, 0, 7],\n [-21, 6, -10, 14, -12, 13, -10, 4... | 974 | math | train |
math_arithmetic_matrix_determinant_level_6_6_241 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-7, -6, 28, 0, -1, -18, -25, 16, -1, -16],\n [25, -5, 22, -2, -15, 0, 17, 0, -21, -2],\n [24, -19, -5, 3, 23, -10, 27, -25, 9, 11],\n [4, 6, 16, -8, 6, -6, 22, 29, 26, 20],\n [-30, 13, -4, 15, 2, -25, -12, -25, 29, -16],\n [25,... | 524 | math | train |
math_arithmetic_matrix_determinant_level_6_6_242 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[8, 8, 8, 20, -1, 7, 0, 22, 4, -3],\n [8, 30, 12, 0, 10, -20, -6, 8, -10, 1],\n [8, 12, -28, -4, 10, -22, -12, -4, -2, -6],\n [20, 0, -4, -25, 16, -22, 9, 12, -20, 7],\n [-1, 10, 10, 16, -10, 22, -17, -14, -16, -8],\n [7, -20, -22, -22, ... | 652 | math | train |
math_arithmetic_matrix_determinant_level_6_6_243 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-7, -29, 21, 10, -25, 12, 1, 27, -4, -6],\n [0, 7, -7, 27, -9, -29, -29, -6, -25, 6],\n [0, 0, -1, 20, 28, -14, -4, -2, 12, 6],\n [0, 0, 0, 11, -2, 24, -30, 24, 24, 0],\n [0, 0, 0, 0, 24, 21, 20, -26, -10, -26],\n [0, 0, 0, 0, 0, -27, 4... | 760 | math | train |
math_arithmetic_matrix_determinant_level_6_6_244 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-20, 10, 24, -10, 4, 8, -3, -18, 7, 5],\n [10, 0, -29, -18, 4, 16, -16, -5, -4, -12],\n [24, -29, 15, -2, 14, -4, -8, -6, -16, 2],\n [-10, -18, -2, 25, -20, 8, -2, -5, -2, 19],\n [4, 4, 14, -20, -21, 18, -10, 8, -20, 0],\n [8, ... | 407 | math | train |
math_arithmetic_matrix_determinant_level_6_6_245 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, 27, -27, -11, -2, 16, 30, -10, 5, -10],\n [0, 1, 16, 1, 12, -13, -23, 24, 11, -8],\n [0, 0, -16, 14, 29, 9, -27, 25, 15, 2],\n [0, 0, 0, -25, -21, -21, -28, ... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_246 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[15, -23, 6, -4, 4, -16, -6, 28, 12, 4],\n [-23, -24, -4, -10, 10, 24, 9, -18, -14, -2],\n [6, -4, -30, 0, -10, 15, 5, 0, 4, -20],\n [-4, -10, 0, 22, 12, 13, 3, 2, -2, -13],\n [4, 10, -10, 12, -19, 19, -2, 10, 2, -10],\n [-16, 2... | 666 | math | train |
math_arithmetic_matrix_determinant_level_6_6_247 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-23, 18, -29, -10, -22, -3, -9, 20, 8, -9],\n [-11, 30, -11, -9, 26, -27, -12, -21, 5, 17],\n [-6, -4, -6, -1, 18, -15, 22, 19, 21, -20],\n [16, -11, -13, 1, -22, 21, -15, -20, 6, -5],\n [26, 22, -21, 1, 3, 11, 6, 28, -17, 8],\n [25, 27... | 434 | math | train |
math_arithmetic_matrix_determinant_level_6_6_248 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[8, 21, -5, -25, -10, 5, 22, -12, -24, 19],\n [-3, 10, -8, -18, -30, 21, -17, 5, 15, 9],\n [-13, 4, -25, 9, -25, -20, 21, -6, -17, -26],\n [10, -24, -13, -16, -3, -20, -16, -25, -14, -3],\n [-18, -11, -11, 6, -23, -21, -5, 19, 8,... | 972 | math | train |
math_arithmetic_matrix_determinant_level_6_6_249 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[17, 10, 1, 26, 30, 22, 3, 28, -5, 2],\n [23, 13, -5, 30, 16, 15, 4, 18, 18, -11],\n [-28, 17, -26, 4, 16, -20, 12, 19, -23, 14],\n [-1, -1, -9, -19, 6, 25, 23, -14, -25, 21],\n [-19, 21, 14, -14, -20, 24, 27, 30, -5, 5],\n [13,... | 104 | math | train |
math_arithmetic_matrix_determinant_level_6_6_250 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, 21, -9, 26, -12, 7, 5, -5, -2, 8],\n [0, 11, -11, -26, 26, -28, -21, -3, 10, 20],\n [0, 0, 2, 26, 28, -19, 27, -24, -17, 18],\n [0, 0, 0, 7, -7, 24, 18... | 936 | math | train |
math_arithmetic_matrix_determinant_level_6_6_251 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-10, 6, 4, -7, 14, -20, 2, 17, -10, 2],\n [6, 12, -8, 4, 16, -22, -4, 9, 18, 8],\n [4, -8, -5, -13, 3, 2, 8, 28, 18, 14],\n [-7, 4, -13, 8, -8, 28, -22, 5, -24, 20],\n [14, 16, 3, -8, 16, -18, -26, -26, 6, -18],\n [-20, -22, 2, ... | 833 | math | train |
math_arithmetic_matrix_determinant_level_6_6_252 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[20, -11, -17, -23, -25, 17, 16, 26, 12, 13],\n [6, 24, -22, 19, 5, -12, 13, -5, 7, 0],\n [26, 16, 3, 27, 26, 12, -8, -19, -21, 20],\n [-22, 28, -14, -19, -24, 21, -7, 11, -16, 25],\n [3, 19, 26, 12, -27, 2, 9, 19, 22, 26],\n [21, -5, -3... | 49 | math | train |
math_arithmetic_matrix_determinant_level_6_6_253 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[6, 18, 6, 15, -9, -28, -5, 10, 18, -24],\n [0, -3, 24, 13, -1, -13, 0, 8, -8, -7],\n [0, 0, 18, 30, -4, 8, -12, 5, -5, -8],\n [0, 0, 0, -9, 10, 7, -30, 29, -28, -19],\n [0, 0, 0, 0, 27, -12, -12, -22, -20, -2],\n [0, 0, 0, 0, 0, -2, 1, ... | 40 | math | train |
math_arithmetic_matrix_determinant_level_6_6_254 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, 16, 20, 15, 1, 9, -23, -15, -22, 14],\n [0, -20, 25, -24, 13, 28, 22, -22, -3, 28],\n [0, 0, 27, -2, -14, -2, -24, 1, 8, 20],\n [0, 0, 0, 2, 26, 23, -27, 4, ... | 640 | math | train |
math_arithmetic_matrix_determinant_level_6_6_255 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-3, -21, -27, 21, -10, 21, 15, -20, 1, -2],\n [0, -5, -22, 21, 10, 9, 30, -12, -7, -1],\n [0, 0, 8, -16, -9, 8, 27, -1, -8, 8],\n [0, 0, 0, 30, 9, -10, 29, -1, 25, 4],\n [0, 0, 0, 0, -19, -9, -8, -11, 3, -23],\n [0, 0, 0, 0, 0, -17, -18... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_256 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[29, -13, -13, -26, -24, -13, -21, -3, 11, -26],\n [0, 2, 8, -24, -30, -19, -6, -11, -23, -9],\n [0, 0, 13, -6, -23, 24, -25, 21, 5, 29],\n [0, 0, 0, -6, -11, 19, -16, 7, 27, 16],\n [0, 0, 0, 0, 26, 2, -13, 28, 10, -3],\n [0, 0, 0, 0, 0,... | 720 | math | train |
math_arithmetic_matrix_determinant_level_6_6_257 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[11, -19, -30, 14, -11, 29, 18, -15, 17, 1],\n [0, 23, -13, -17, 19, 5, 27, 14, 1, 25],\n [0, 0, -12, 4, 3, 5, -8, -9, -27, -13],\n [0, 0, 0, -10, 28, 25, -20, -29, -19, 4],\n [0, 0, 0, 0, -8, 25, -1, -16, 4, 25],\n [0, 0, 0, 0, ... | 400 | math | train |
math_arithmetic_matrix_determinant_level_6_6_258 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[6, 26, -20, 7, 1, -14, -6, 22, 1, -18],\n [26, 26, 4, 18, 10, -6, -16, 3, 22, 18],\n [-20, 4, -28, -6, 22, -17, -20, -9, -3, -6],\n [7, 18, -6, 20, 12, 16, 10, 0, -2, -14],\n [1, 10, 22, 12, 10, 30, -18, -26, -20, 1],\n [-14, -6... | 266 | math | train |
math_arithmetic_matrix_determinant_level_6_6_259 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-26, -10, -18, -12, 29, 13, -26, 5, -10, -30],\n [0, 28, -15, 16, -11, 22, -13, -28, -6, -2],\n [0, 0, -4, -15, 27, 3, 4, 19, 21, -24],\n [0, 0, 0, 9, -11, -29, -26, -1, -14, -22],\n [0, 0, 0, 0, 8, 28, 18, -23, 14, 28],\n [0, 0, 0, 0, ... | 240 | math | train |
math_arithmetic_matrix_determinant_level_6_6_260 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -1, 20, 17, -9, -1, -15, 8, -9, 2],\n [0, -19, 23, -25, 29, 5, -9, 17, -24, -16],\n [0, 0, -19, -22, 16, -15, 19, 9, 14, 8],\n [0, 0, 0, -9, 6, -16, -10... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_261 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-27, 19, 22, -15, -23, -11, -15, -26, -12, 19],\n [-8, 28, -14, -13, 19, 29, 8, 10, -8, 3],\n [18, -21, 29, -2, 24, 7, 24, 25, 27, 11],\n [16, 28, -23, 30, -30, -27, -7, -26, -6, -14],\n [-29, -27, 21, -22, 24, 13, 11, -1, 18, -... | 240 | math | train |
math_arithmetic_matrix_determinant_level_6_6_262 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-18, -29, -18, 1, 17, -12, 9, 9, 26, 27],\n [0, 10, -10, -26, -17, 4, 13, 9, -2, 27],\n [0, 0, 29, 30, -18, 8, 15, 18, 12, -16],\n [0, 0, 0, -20, -4, -6, -14, 24, -5, -1],\n [0, 0, 0, 0, -26, 3, -4, -19, -13, -19],\n [0, 0, 0, 0... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_263 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-20, 28, -5, 13, 4, 27, -12, -13, 29, -19],\n [0, 21, -10, 22, -8, 12, -16, 10, 23, -27],\n [0, 0, -12, -20, 23, -27, 3, 19, 8, -11],\n [0, 0, 0, 27, -9, 23... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_264 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-10, -11, -23, 5, -7, -6, 8, 12, 14, -26],\n [0, 2, -21, 5, -22, 26, -27, 3, 13, 6],\n [0, 0, -14, 1, 29, 4, 6, 5, -1, -19],\n [0, 0, 0, 8, -17, -14, -24, -21, -17, -10],\n [0, 0, 0, 0, 17, 13, 13, -29, 7, -17],\n [0, 0, 0, 0, ... | 960 | math | train |
math_arithmetic_matrix_determinant_level_6_6_265 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[1, 8, -20, -24, -5, -24, -9, -18, -22, 5],\n [8, 20, -5, -6, 10, -28, 5, -7, -10, -4],\n [-20, -5, 12, -9, -24, 2, 6, -25, 8, 0],\n [-24, -6, -9, -4, 3, -5, -12, 14, -6, 20],\n [-5, 10, -24, 3, 7, 7, 8, -7, 24, -20],\n [-24, -28... | 882 | math | train |
math_arithmetic_matrix_determinant_level_6_6_266 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 3, -17, -27, 29, 30, -29, -2, 1, -6],\n [0, 9, 24, 14, 30, 17, 1, 25, 9, -5],\n [0, 0, 28, -21, -24, 9, 24, -6, 8, -10],\n [0, 0, 0, 1, -11, 24, 1, 30, 20, -6]... | 560 | math | train |
math_arithmetic_matrix_determinant_level_6_6_267 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[16, 1, 0, -2, 8, 16, -10, 4, -3, -11],\n [1, -27, 3, 16, -5, 8, -21, -16, 10, 13],\n [0, 3, 21, 19, 6, -14, 14, 0, -1, 2],\n [-2, 16, 19, -7, -16, 5, -6, 15, -23, 20],\n [8, -5, 6, -16, 18, 20, 0, -10, 20, -7],\n [16, 8, -14, 5, 20, -27... | 134 | math | train |
math_arithmetic_matrix_determinant_level_6_6_268 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[23, 6, 26, 0, -27, 19, 4, -29, 30, 21],\n [-18, -3, 27, 8, -8, -22, 8, -25, -13, -28],\n [15, -2, 24, -5, -30, -29, 7, -24, 24, 1],\n [-25, 24, 14, -23, 12, -3, 30, 11, -24, -27],\n [-4, 17, -28, 18, 8, 12, -14, -9, -30, -15],\n... | 152 | math | train |
math_arithmetic_matrix_determinant_level_6_6_269 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[24, 2, 7, 0, -3, -7, -11, 30, 15, -1],\n [0, -20, -19, -22, -7, 22, 4, -18, -28, 21],\n [0, 0, 26, -22, -22, -22, 19, -13, 24, -17],\n [0, 0, 0, -17, -25, -5, -4, -20, 11, -29],\n [0, 0, 0, 0, 18, 23, -10, 2, 5, -18],\n [0, 0, ... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_270 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-6, -3, 23, -3, 4, 11, 11, -12, 30, -2],\n [0, 18, 23, -27, 25, -28, 7, -28, -19, 24],\n [0, 0, -29, -14, 3, -27, -18, -21, -25, -10],\n [0, 0, 0, 1, 2, 25, -5, 17, 16, -23],\n [0, 0, 0, 0, -29, -25, -10, -2, -23, -17],\n [0, 0, 0, 0, 0... | 680 | math | train |
math_arithmetic_matrix_determinant_level_6_6_271 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[21, -21, -18, -8, 12, -6, -19, -24, 22, 5],\n [-21, -26, 16, -11, -4, -8, -7, 1, 8, -6],\n [-18, 16, -12, -22, 16, 10, -10, -13, 6, 10],\n [-8, -11, -22, 12, 13, -4, -28, 9, -14, -21],\n [12, -4, 16, 13, -24, -12, -17, -2, -22, ... | 76 | math | train |
math_arithmetic_matrix_determinant_level_6_6_272 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, -10, -11, -10, -20, -22, 8, 4, 13, -20],\n [-10, -19, -10, -2, -4, -6, -2, 0, 14, 4],\n [-11, -10, -7, 10, 24, -24, 21, -4, 6, -17],\n [-10, -2, 10, -2... | 982 | math | train |
math_arithmetic_matrix_determinant_level_6_6_273 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[26, 24, 9, 16, -9, -6, -10, 27, -22, 5],\n [0, 16, 3, -29, -13, 29, -18, -21, 10, -21],\n [0, 0, 3, -25, 9, 20, -2, 18, -26, 14],\n [0, 0, 0, -5, -1, -15, -15, -8, 20, -22],\n [0, 0, 0, 0, -7, -17, -7, 15, 23, 22],\n [0, 0, 0, 0... | 360 | math | train |
math_arithmetic_matrix_determinant_level_6_6_274 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 19, -5, 2, -22, 4, 10, 18, 25, 21],\n [0, 9, -7, -20, -10, 27, 28, 24, -21, 30],\n [0, 0, -10, 27, -14, -17, -20, 0, 19, 15],\n [0, 0, 0, 26, -2, 26, -9,... | 200 | math | train |
math_arithmetic_matrix_determinant_level_6_6_275 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, 23, -4, 23, 21, -16, 6, 20, -9, 0],\n [0, 15, 19, 1, -14, -13, -21, -8, 6, -29],\n [0, 0, 26, -25, -7, 2, 7, 11, 11, -9],\n [0, 0, 0, 12, 19, 18, 9, 20, 13, -1... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_276 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[1, -20, 22, 7, -1, -8, -19, 19, -8, 12],\n [-20, 7, 4, -4, 14, -12, -4, 10, -12, 14],\n [22, 4, -3, -24, -20, 6, -3, 19, -21, 14],\n [7, -4, -24, 9, -5, 8, 9, 8, 13, -2],\n [-1, 14, -20, -5, -1, 23, 5, -20, -13, -14],\n [-8, -1... | 613 | math | train |
math_arithmetic_matrix_determinant_level_6_6_277 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[30, 1, -29, 4, 24, -12, -6, -8, 7, -10],\n [0, 30, 18, 12, -12, 12, -27, -25, 23, 18],\n [0, 0, -8, -18, 3, 8, -19, -4, -11, -14],\n [0, 0, 0, -21, -16, -24, -28, 23, -25, -25],\n [0, 0, 0, 0, 24, 28, 16, -29, -24, 13],\n [0, 0... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_278 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -7, 25, -24, 0, -13, -12, -9, -16, -6],\n [-7, 30, -8, 8, -3, 4, -9, 18, -19, 1],\n [25, -8, 12, 2, -5, 7, -15, -2, 4, -16],\n [-24, 8, 2, 10, -28, 6, 12, -4,... | 196 | math | train |
math_arithmetic_matrix_determinant_level_6_6_279 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Compute |A| for the matrix A =\n[[-16, 24, 3, -23, -3, 8, -13, 22, 20, -10],\n [-20, -12, -5, -28, 28, -21, -20, -13, 17, -5],\n [2, 21, -11, 8, 10, -5, 0, 19, 5, 29],\n [19, 11, -28, -5, 1, 17, -19, -24, 13, -3],\n [-23, 27, 5, -28, 23, 0, -21, 17, -12, -20],\n [-14, -... | 686 | math | train |
math_arithmetic_matrix_determinant_level_6_6_280 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, -28, -7, -15, 28, -19, 16, 14, 10, 13],\n [20, 2, 13, -14, 24, 8, -5, -30, 30, 6],\n [23, 7, 16, -10, -23, 17, -4, -2, -29, -14],\n [-30, 7, -8, -5, 2, ... | 42 | math | train |
math_arithmetic_matrix_determinant_level_6_6_281 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, 18, -21, 10, 20, 27, 8, -21, 19, 3],\n [-4, -7, 27, 3, -26, -21, -27, 26, 20, -27],\n [-14, 15, 4, 2, 4, 3, 3, -9, 18, 13],\n [13, -30, 7, -19, -10, 7, -21, ... | 939 | math | train |
math_arithmetic_matrix_determinant_level_6_6_282 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-27, 9, 13, -10, -4, 13, -26, 26, -28, 5],\n [25, 23, 0, 16, -25, -18, 20, 5, 16, 25],\n [-30, -29, -21, 14, -13, 11, 30, 30, 4, -30],\n [9, -7, 5, 5, -7, -... | 93 | math | train |
math_arithmetic_matrix_determinant_level_6_6_283 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[29, 10, 2, -3, 12, -8, -14, -6, 2, 16],\n [10, -24, 0, -5, 0, -4, -20, 6, -20, -24],\n [2, 0, -15, 25, 0, -4, 12, 16, 12, -4],\n [-3, -5, 25, -25, 20, 12, 0, 0, -16, 10],\n [12, 0, 0, 20, 4, 12, 3, -11, -18, -8],\n [-8, -4, -4,... | 391 | math | train |
math_arithmetic_matrix_determinant_level_6_6_284 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[24, -27, 24, 6, 16, 2, 3, -15, 30, -30],\n [-22, -30, -24, 29, -11, -22, -7, -15, 7, -18],\n [-8, 5, 14, -16, 7, 9, 3, 8, 28, -30],\n [-20, -7, -25, -7, 30, -26, 10, -20, 7, 3],\n [0, 27, 19, 18, 7, -19, -9, 3, 14, 10],\n [-7, 2... | 314 | math | train |
math_arithmetic_matrix_determinant_level_6_6_285 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-9, -14, 22, -2, -17, 8, 5, -16, 4, -2],\n [-14, 15, 3, 18, 28, -8, 4, 10, 14, -11],\n [22, 3, 4, 4, 7, 8, 0, -7, 18, -10],\n [-2, 18, 4, 2, -1, 14, -3, -4, -18, -6],\n [-17, 28, 7, -1, -21, -20, 4, 4, 22, -2],\n [8, -8, 8, 14,... | 330 | math | train |
math_arithmetic_matrix_determinant_level_6_6_286 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[18, 24, 11, 27, 9, 4, -25, 0, -29, 25],\n [15, 19, 14, 9, 15, -9, 13, -11, -13, 25],\n [12, 4, -25, -8, 0, 26, 7, 14, -18, 2],\n [26, -14, -16, 29, -16, -30, -18, 3, 12, -29],\n [23, 10, 28, -12, 11, -16, -23, 27, 10, 9],\n [-22... | 520 | math | train |
math_arithmetic_matrix_determinant_level_6_6_287 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-25, -15, 6, 0, -25, 20, -12, 11, 10, 18],\n [-15, 9, -10, -20, -20, -8, -16, -11, -17, 0],\n [6, -10, -10, -28, 4, 16, 6, 9, 3, -12],\n [0, -20, -28, 27, -7, -14, -28, -4, -12, -4],\n [-25, -20, 4, -7, 13, -9, -2, -20, 8, -4],\... | 620 | math | train |
math_arithmetic_matrix_determinant_level_6_6_288 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, 5, -23, -3, -29, -13, 25, 25, 9, 28],\n [9, 19, -17, -24, 26, -11, -23, -5, -26, -16],\n [14, -17, 25, 25, -30, -11, 17, -22, -3, 16],\n [27, 1, 28, 30... | 26 | math | train |
math_arithmetic_matrix_determinant_level_6_6_289 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, -5, -18, -19, -27, -13, 27, -21, -27, 18],\n [0, 11, -3, 5, 4, -8, -24, 30, 9, 18],\n [0, 0, 19, -22, 3, -15, -26, -8, 17, -1],\n [0, 0, 0, 27, -12, -5, -28,... | 400 | math | train |
math_arithmetic_matrix_determinant_level_6_6_290 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-19, -27, 14, 1, -18, -19, 5, 30, 24, -3],\n [-21, 24, -26, 22, 23, 3, -18, 28, 28, 26],\n [10, -23, 6, 20, -18, -12, 28, -23, 28, 3],\n [-26, -17, 15, 13, -19, 21, -28, -10, 4, -6],\n [22, -5, -17, -13, 9, 28, 26, 22, 3, -13],\... | 756 | math | train |
math_arithmetic_matrix_determinant_level_6_6_291 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-28, 3, -19, -29, -21, 9, 27, 11, -27, 23],\n [-14, 11, 24, 9, 25, 1, -28, -7, -19, -2],\n [20, 9, 17, 20, -20, -21, 4, -23, 29, 17],\n [16, -25, 13, 9, -14... | 373 | math | train |
math_arithmetic_matrix_determinant_level_6_6_292 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-26, -7, 21, -25, -6, 14, -26, 3, 25, 17],\n [0, 5, -2, -4, 11, 19, 2, -8, -30, 0],\n [0, 0, 6, -8, -2, 9, 23, 28, -20, 10],\n [0, 0, 0, 25, 25, -13, -5, -25, 10, -8],\n [0, 0, 0, 0, 26, 5, -8, -12, -6, 30],\n [0, 0, 0, 0, 0, 2... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_293 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, 2, 26, -10, -3, -22, -10, 18, 4, 14],\n [2, 25, -23, 24, 10, -14, -2, 24, -10, -2],\n [26, -23, -5, -16, 4, -14, -4, -7, 2, -4],\n [-10, 24, -16, -10, -13, -6... | 773 | math | train |
math_arithmetic_matrix_determinant_level_6_6_294 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-24, 24, -26, 14, -23, 19, -19, 23, 24, 15],\n [0, 2, -4, 4, -10, 15, -14, 0, -15, -26],\n [0, 0, -21, -1, -29, 6, -25, -25, -4, 30],\n [0, 0, 0, 27, -25, 0... | 280 | math | train |
math_arithmetic_matrix_determinant_level_6_6_295 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[21, 23, 2, -15, -25, 5, 20, 7, 30, -17],\n [-29, -14, 25, -27, 3, 5, -10, -7, 13, -19],\n [-24, -1, 15, -10, -8, 8, 7, 24, 14, -8],\n [-29, -15, 11, -8, -25, -16, 6, 16, -13, 24],\n [4, -26, -21, 10, -29, 15, -22, -13, 9, -18],\... | 608 | math | train |
math_arithmetic_matrix_determinant_level_6_6_296 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-4, -8, -4, 18, 4, -10, -29, -15, -19, -17],\n [21, -23, 22, -5, 25, 28, 26, -5, -20, 24],\n [4, 14, 23, -24, -9, 16, 10, 6, -23, -5],\n [-23, 5, 21, 24, -19, -10, 8, 15, -19, -23],\n [-22, -2, 30, 9, 10, -24, -18, -3, -2, 20],\... | 613 | math | train |
math_arithmetic_matrix_determinant_level_6_6_297 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[-5, 17, -16, 16, -18, 10, -29, 11, 17, 7],\n [0, -24, -16, -16, -21, 21, -7, 17, 16, -3],\n [0, 0, -17, -18, -10, 27, 12, 2, -25, -20],\n [0, 0, 0, -24, -8, 24, 8, 19, -14, -28],\n [0, 0, 0, 0, 30, 16, -30, -29, 14, 16],\n [0, ... | 0 | math | train |
math_arithmetic_matrix_determinant_level_6_6_298 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"Determine the value of det(A) where A =\n[[19, 20, 3, -10, -6, -23, -3, -18, 19, -8],\n [0, 26, -5, -4, 1, 24, -23, 15, -29, 7],\n [0, 0, -18, 11, -23, -6, -12, 26, 2, -1],\n [0, 0, 0, -28, -17, -3, 17, 16, 22, 28],\n [0, 0, 0, 0, 26, -23, -1, 3, 14, -30],\n [0, 0, 0, 0... | 824 | math | train |
math_arithmetic_matrix_determinant_level_6_6_299 | arithmetic_matrix_determinant6 | expert (level 6,7) | 6 | {
"role": [
"user"
],
"content": [
"What is the determinant of the matrix:\n[[-26, 2, 19, 17, 3, -15, -10, 3, -10, 8],\n [2, 21, -8, -22, 19, 0, 12, -27, -16, -10],\n [19, -8, 12, -12, 23, 18, 5, 25, -14, -6],\n [17, -22, -12, -14, 2, -8, 17, -22, -21, -14],\n [3, 19, 23, 2, 22, 24, 9, -14, 12, 12],\n [-1... | 923 | math | train |
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