messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
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[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 17, -7, 2, 28, 34, 32, 35, 19, -34, -8, -16],\n [0, -34, 21, 30, -7, -4, 5, 30, 18, 9, 33, 11],\n [0, 0, 4, 32, 22, -15, 32, 15, -19, -5, 6, 23],\n [0, 0, 0, -22, -24, -30, 22, 29, 23, ... | 1 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, 21, 16, -1, -10, -9, 8, 28, 13, -26, -3, 12],\n [9, 21, -35, -9, 21, 3, 2, -18, 9, -12, 6, 35],\n [-25, 21, -23, 0, -21, -11, 30, 19, -30, 29, 5, 16],\n [-27, 23, -27, -23, -20, 19, 28, 22, 34, -21, -12, -17],\n [-3, -18, 5, -2, -6, 0, -30, 17, -10, 18... | 928 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[32, -7, 11, -15, 0, -27, -4, 7, -18, -28, -13, -21],\n [0, -32, 10, 2, 34, -26, -33, -17, 29, 9, 2, 22],\n [0, 0, 31, -30, -33, -35, 0, 7, -3, -33, 11, -18],\n [0, 0, 0, -11, -8, -8, 19, 18, 1, 13, -5, 14],\n [0, 0, 0, 0, 23, 24, -31, 3, -8, -28, 29, 23],\... | 10 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[31, -4, 14, 14, 8, -10, -14, 0, -10, -26, 12, 7],\n [-4, 25, 20, 0, 10, 8, -8, -8, -18, -4, 9, -14],\n [14, 20, 3, -12, -13, 26, 12, 9, -2, -8, 3, -16],\n [14, 0, -12, -9, 20, -8, 8, -... | 848 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 20, 32, -33, 35, 30, -1, 34, -15, -4, -17, -8],\n [0, 4, 8, -9, -3, -27, -21, 10, 11, 25, 0, -9],\n [0, 0, -33, 13, -33, 14, -22, -17, 16, -4, 25, -7],\n [0, 0, 0, 15, -1, 16, -13, -22, 33, 9, 3, -29],\n [0, 0, 0, 0, 35, -12, 21, 19, -16, -11, -35, -28... | 992 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[33, 17, 32, -33, 28, 29, 18, 12, 32, 24, 7, 26],\n [0, 22, 4, -22, -32, -15, 23, -1, 2, -24, 16, 2],\n [0, 0, 33, -33, -26, 27, 21, 23, 26, 35, 12, 22],\n [0, 0, 0, 32, -2, 32, 35, -18, -10, 7, 1, 24],\n [0, 0, 0, 0, 1, -12, -7, 16, 29, 23, -32, -1],\n [0,... | 959 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, 4, 7, -16, -2, -18, -11, -7, 20, -3, -18, 14],\n [14, -35, -25, 19, 17, -13, -34, -9, 6, -19, -2, 22],\n [20, 31, -22, -7, 35, 14, 1, 3, 17, 5, -11, 0],\n [-27, -17, 35, -5, -5, 34, -18, 33, -1, 3, 16, -20],\n [-11, -19, 27, -31, 27, 10, -17, -10, -10... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, 14, 5, 0, -10, 12, -4, -24, -5, 4, 8, 1],\n [14, -33, 0, 4, -10, -23, 29, -2, -4, -13, 4, -27],\n [5, 0, -19, 10, 14, 25, 0, 4, -16, 2, -26, -10],\n [0, 4, 10, -7, 4, -23, 16, 3, 0, 1, 17, 20],\n [-10, -10, 14, 4, -34, -14, 4, 12, -2, 14, -2, -28],\n ... | 328 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, 30, 18, -20, -5, -12, -18, -28, -7, -24, 8, 12],\n [30, -32, -33, -2, -20, 12, -6, -8, 10, 4, 22, 24],\n [18, -33, 5, 1, -6, -5, 9, 18, 6, -4, -21, 28],\n [-20, -2, 1, -17, 15, 17, 6, 0, 30, -4, -14, 2],\n [-5, -20, -6, 15, 34, 0, -30, 7, -16, 22, -12, -8],\n... | 224 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, -26, -26, -2, 2, -29, -9, -20, -25, 14, -29, -8],\n [0, -33, -25, -16, -16, 13, -17, 18, 12, 14, 32, 6],\n [0, 0, 31, 3, 32, 26, -1, 17, -22, 16, 1, 10],\n [0, 0, 0, -3, 21, 30, 9, -31,... | 816 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[31, 31, 35, -27, -27, -29, -19, -25, 33, 29, -23, 12],\n [7, -4, 32, 32, -4, -10, -12, 5, -35, -17, -34, 28],\n [21, -25, 14, 8, -17, 23, 18, 19, 12, 27, 21, 1],\n [-29, -24, 35, 18, -31, 9, 25, -24, -14, 0, -19, 6],\n [-3, -32, -11, 10, 14, -5, -2, 2, 2, -11, -5,... | 880 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 16, 27, 10, -22, -15, 5, -28, -17, -6, -4, -16],\n [16, 21, -3, -3, -28, -2, 3, 14, -18, -22, -18, -4],\n [27, -3, -7, -27, -7, 4, 9, -33, 11, 0, -12, -8],\n [10, -3, -27, 23, -18, -2, 16, -6, 8, -12, -23, -14],\n [-22, -28, -7, -18, -27, 14, 17, 6, 1... | 72 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[26, -2, 10, 2, -16, 10, -6, 0, 22, 3, 19, 14],\n [-2, 27, 10, -22, -28, 15, 0, 2, 12, -14, -12, -9],\n [10, 10, -3, -26, 32, 5, 20, -16, 1, -20, -22, 1],\n [2, -22, -26, 25, 6, -15, -13, -30, -8, 0, -19, -30],\n [-16, -28, 32, 6, -28, -8, 16, -8, 28, 16, 5... | 592 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-35, 34, -18, 22, 3, 31, 22, 18, 35, -27, 8, -35],\n [0, -11, 27, -8, -10, 2, 7, 2, -4, 13, -19, -25],\n [0, 0, 17, -14, -26, -13, -1, -32, 30, 1, 28, -28],\n [0, 0, 0, -12, -24, -19, 2, 12,... | 140 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, -2, 0, 8, -13, -19, 10, -14, -2, -2, -18, -12],\n [-2, -31, 21, 24, -20, -23, 2, -26, 2, -22, -26, -14],\n [0, 21, 29, 4, -6, 8, 5, 0, -2, -32, 10, 16],\n [8, 24, 4, 12, -12, 6, 0, 3, -... | 624 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 16, 4, 13, -6, -2, 25, -30, 12, -6, 26, -14],\n [16, -8, 25, -8, 1, -13, -25, 12, 4, -34, 6, 4],\n [4, 25, -10, -20, 21, -17, -18, -4, -6, 11, 32, -26],\n [13, -8, -20, 19, -30, -16, -30, -12, 32, -28, 24, 10],\n [-6, 1, 21, -30, -4, -2, 6, -28, -28, 26, -4, 9... | 72 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, 15, 5, 10, -14, 13, 7, 29, 5, -26, 12, -17],\n [15, -29, 12, 26, 14, -18, 12, 0, -29, -2, -16, 10],\n [5, 12, -3, 4, -26, -8, -6, 16, -10, -2, 18, -6],\n [10, 26, 4, 5, -11, -22, 26, -1... | 520 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 2, 6, -18, 4, -24, 2, -1, 26, -12, -6, 12],\n [2, 30, -29, 10, 25, -1, 5, 22, -10, -16, 12, 16],\n [6, -29, 21, -2, -8, -26, 1, -23, -22, -4, 26, -10],\n [-18, 10, -2, -17, 9, -6, 22, -4, 24, -22, 13, 18],\n [4, 25, -8, 9, -5, -15, 0, -16, 12, -13, -3... | 184 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 28, 26, -5, 26, 10, 4, 9, 24, 0, 10, 3],\n [-13, 2, 14, -15, 27, -17, -21, -28, 11, 13, -10, -30],\n [35, 24, -32, 28, -8, 2, 29, 31, 18, -33, -6, -29],\n [26, 0, -30, 4, 29, 13, 2, 32, 23, -21, -13, -26],\n [-30, -16, -12, 34, -23, -8, 11, 28, 31, -... | 672 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, 26, -12, 8, 18, 16, -3, 8, 16, 4, 10, -15],\n [26, -25, -10, 14, 10, 17, -14, -4, 2, 2, -8, 13],\n [-12, -10, -35, -16, 12, 18, 14, 2, -2, 14, 2, 17],\n [8, 14, -16, -19, 16, 7, -6, -22, 6, 2, 5, 30],\n [18, 10, 12, 16, -8, 28, 0, 11, 7, -2, 12, -2],\... | 496 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, -11, 25, -27, -5, -29, 10, -30, 7, 17, -18, 27],\n [16, 5, -7, 19, -31, -6, 30, 14, -21, 6, -30, 20],\n [-24, 7, 10, 14, -16, 34, -11, -34, -20, 34, 30, 25],\n [24, 26, 29, 1, -25,... | 664 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 16, 28, -4, 14, 23, 19, -6, 32, -9, -27, 32],\n [0, 12, 5, 5, -20, -20, -12, -24, 31, 13, -11, -13],\n [0, 0, -19, 3, 4, -22, -4, 14, 10, -28, -23, -13],\n [0, 0, 0, -7, -15, 18, -11, 27, 30, -30, 16, -5],\n [0, 0, 0, 0, 4, -3, 1, 16, 30, 0, -7, 18],\n [0, 0, ... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, -11, 13, 34, 1, -27, 28, -1, 11, -32, 0, 11],\n [0, -6, -24, -26, 13, -4, -1, 13, 24, -7, -35, -3],\n [0, 0, 9, -28, 25, -17, 18, -12, -6, -2, 4, -3],\n [0, 0, 0, 18, 24, 9, -10, -2, -4, 14, 30, 23],\n [0, 0, 0, 0, 14, -35, -12, -32, 22, 16, 9, 21],\n... | 40 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, 20, -12, 29, -20, 12, 19, -13, 13, -21, 8, -31],\n [0, -23, -21, 13, -17, -32, -28, 11, -3, 2, 9, 19],\n [0, 0, -18, -26, -21, -16, 18, 6, 5, -22, 27, -35],\n [0, 0, 0, -17, 1, 18, 31, -24, 23, -7, 12, -2],\n [0, 0, 0, 0, 23, 4, 31, 25, 14, 32, 20, -1... | 980 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, -16, -26, -2, -27, 18, -14, 35, 27, -18, -1, 24],\n [21, -8, -31, -29, 18, 28, 7, 23, 8, 6, 0, -30],\n [-27, -10, 33, -10, -4, 4, -13, 22, 10, -16, -11, -8],\n [9, 24, -17, 26, -1... | 344 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -18, 12, 8, 5, -8, 20, -10, -8, -7, -30, -14],\n [-18, 18, -16, 18, 18, -18, 3, 2, -1, -15, 26, -7],\n [12, -16, -33, 10, -22, -21, 12, 4, 12, -14, -7, -3],\n [8, 18, 10, 26, -8, -16, 16, -7, 6, -14, -3, 24],\n [5, 18, -22, -8, 5, -14, -10, 4, 16, 10, ... | 432 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -32, -7, -31, 35, 25, 16, 34, -7, -16, 5, -4],\n [-29, 12, 13, -14, -26, 20, 27, -26, -22, -8, -6, -2],\n [-9, -25, -26, -28, 25, 2, -3, -10, -6, -34, -27, -12],\n [-28, -12, -15, -31, -24, 6, 30, 24, 7, -20, -27, -17],\n [-13, -17, -21, -29, -27, -16, 25, 34, ... | 408 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[20, 12, 0, 33, -4, 13, -13, -4, -25, 26, 32, -26],\n [12, -4, 4, 26, 10, 4, 21, -6, 14, -5, -21, 10],\n [0, 4, 19, -18, 12, 10, -12, 14, -14, 6, -8, -8],\n [33, 26, -18, 10, 0, 2, 9, 27, 6, 8, -10, 19],\n [-4, 10, 12, 0, 28, -2, 6, -22, 3, 22, 2, -2],\n [1... | 536 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, -5, 30, 22, 24, -35, -31, 22, 33, 11, -10, -26],\n [28, -16, 0, 21, -22, 3, 4, 24, 15, -16, -14, -26],\n [11, -18, -3, -26, 21, -29, -8, 32, 16, -15, 10, -4],\n [-7, -10, -27, 16, 5, 25,... | 48 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, 2, 1, -7, 8, 25, 8, 27, 26, 12, 35, -9],\n [0, -9, -18, -34, 22, -1, -25, -34, -1, 3, -23, 25],\n [0, 0, 31, 11, -11, 9, 2, 8, -17, -32, 3, -18],\n [0, 0, 0, 34, 34, -28, -33, -4, -14, -30, -17, 19],\n [0, 0, 0, 0, -24, 18, -19, -8, 14, -3, 12, -6],\... | 672 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, 15, -3, 23, 11, 20, 19, 20, -1, -3, 7, -28],\n [-29, 27, 25, -2, 24, 2, -6, -5, -7, -17, 1, 29],\n [-7, 33, 30, 3, 16, 0, -29, 16, -12, 25, 28, 0],\n [-27, -31, 7, -26, 19, -21, -7... | 304 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[33, 15, 14, -16, -22, 10, -18, 15, -4, 6, 0, 13],\n [15, 19, -4, 14, 16, 19, 12, -2, 6, -8, -12, -4],\n [14, -4, -29, 20, 6, -30, -4, 3, 4, 14, 11, -1],\n [-16, 14, 20, -23, 8, -6, -16, 22, -16, -2, -8, 22],\n [-22, 16, 6, 8, -24, 28, 4, 5, 0, -21, 1, -26... | 936 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[32, -18, 25, -26, 9, -11, 18, 23, 14, 32, 33, 28],\n [-3, 13, -5, 8, -25, -16, -30, 5, 32, -24, -27, 4],\n [-33, 9, -30, 24, 34, 1, -19, 16, -6, 14, 16, 34],\n [11, 32, 8, 22, -21, -8, -27, 22, 25, 20, -12, 20],\n [26, -24, -22, -18, 2, -15, -3, -4, 18, -... | 152 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, 11, -6, -8, 12, 33, -3, -6, 17, 4, 6, -12],\n [11, 25, -10, -18, 6, -32, 6, 8, 28, -25, 7, 0],\n [-6, -10, -1, 11, 2, -12, -8, 7, -8, 8, -12, 10],\n [-8, -18, 11, 33, -19, -26, -13, 3, ... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, -32, -19, 30, 0, -5, 10, 33, 23, 29, 0, 11],\n [1, -24, 12, 32, 18, 35, -25, 14, 33, -7, 31, 13],\n [35, 23, 7, -24, 0, 28, 4, 4, -1, -5, 28, -28],\n [4, 20, -7, -11, -26, -9, 32, 33, -... | 384 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 16, 8, 2, -4, 10, -24, 2, -22, 10, 27, 10],\n [16, -2, -9, -26, 12, -8, 9, 0, -27, -14, -5, 16],\n [8, -9, 13, -23, 4, -26, -16, 8, 2, -20, 0, -2],\n [2, -26, -23, 3, -8, -6, -20, -16, ... | 888 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[35, 0, 32, -29, -20, 5, 23, -4, 13, 18, 35, -13],\n [0, 20, -20, -29, -30, 32, -28, -28, -34, 29, 7, 29],\n [0, 0, 18, 20, 2, 9, -14, 8, 34, -30, 20, 14],\n [0, 0, 0, -24, 34, -12, 1, ... | 48 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, 3, -4, 14, 12, -11, 14, 0, 18, 7, 30, -4],\n [3, -8, 28, 12, -25, 10, -1, 18, -9, -23, 4, 28],\n [-4, 28, 8, -5, -23, 4, 16, 12, 4, 13, 13, -6],\n [14, 12, -5, -15, 17, 0, -9, 21, -4, -6, -28, -26],\n [12, -25, -23, 17, 29, -17, 8, -23, 8, 9, 12, 24],\n [-11, ... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -3, 3, -28, 4, 33, -17, -6, -28, 8, -34, 32],\n [0, 8, -21, -4, -11, 8, 29, -19, -24, -22, -28, 1],\n [0, 0, 18, 4, -31, 4, 24, 35, 28, -18, 26, -3],\n [0, 0, 0, -33, 6, -24, -35, 9, 24, 13, -35, 18],\n [0, 0, 0, 0, 20, 25, -1, -2, 0, -14, 32, 4],\n [0, 0, 0, ... | 56 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 6, 16, 3, -15, -8, 2, 22, 26, 22, -14, 20],\n [6, 34, 8, -3, -1, -16, -27, -23, -22, 6, 2, 8],\n [16, 8, -29, -2, 30, 18, -8, 1, -16, -8, -9, 2],\n [3, -3, -2, -32, -16, -1, 1, -14, -22, -16, -9, 2],\n [-15, -1, 30, -16, -19, 9, 23, -14, -17, 10, -25,... | 120 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-28, 22, -16, 15, 14, -8, 5, -4, 22, -23, -18, -30],\n [22, -25, -4, 0, 10, -18, -22, 10, 2, -18, 4, -4],\n [-16, -4, -25, -30, -4, -30, -5, -15, -24, 18, 15, -2],\n [15, 0, -30, -7, 1... | 464 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -8, -16, -30, -8, -11, 0, 10, -6, -10, -30, 23],\n [-8, 15, -14, -23, -31, 22, 20, 20, 3, -4, -6, 27],\n [-16, -14, 20, -33, -19, 2, -14, -10, 12, 10, 0, 1],\n [-30, -23, -33, 29, -16, -4, -24, 3, -14, 14, -23, -9],\n [-8, -31, -19, -16, -6, 14, -16, 2... | 256 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 29, -12, -13, 28, -9, -29, 16, -7, 13, 20, -21],\n [-22, -4, -9, -17, -30, -27, -27, -22, 25, 12, -31, 35],\n [35, 2, -21, 29, 26, 16, 34, -1, 21, -24, -16, 35],\n [-19, -20, -16, -30, 31, -8, -16, 21, 27, -30, -2, -5],\n [-30, -34, 4, -7, 8, 2, 8, 15... | 408 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, 15, 5, -30, -19, -31, -22, 19, 33, -2, 12, 3],\n [34, -2, -35, 30, -32, -24, 21, 5, -19, 5, 13, 10],\n [-34, 5, 33, -9, 14, 0, 4, 6, -7, -3, 12, 17],\n [27, -15, 12, -10, -16, 26, 24, -1, -24, 33, -34, -33],\n [-24, 20, -26, -14, 17, -20, -16, 10, -34... | 792 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[34, 24, -27, -22, -7, -14, -29, -21, 16, 10, -9, -18],\n [0, 29, 13, 24, 26, -17, -9, -2, -30, -17, 14, -12],\n [0, 0, 17, 12, -18, -30, 22, -25, -3, -11, 23, -11],\n [0, 0, 0, -35, 11... | 96 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, -17, 1, -18, -12, 3, -2, 13, -24, 12, -34, -15],\n [11, -29, 10, 32, -34, -5, 19, 34, 0, 9, -16, -5],\n [-12, 7, -2, -23, 20, -3, -30, -10, -24, -20, 9, -12],\n [34, -9, 18, -29, -13, -19, -7, -11, 30, 32, -22, -7],\n [-11, 15, -18, 31, 28, -31, -10, -6, 6, -... | 216 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-30, -1, -30, 18, 14, -4, -28, -12, -27, 14, 3, -6],\n [-1, -34, -16, 4, 13, -6, 24, 6, -17, 8, -10, -8],\n [-30, -16, 8, 8, -10, 10, -10, 7, 7, 18, -16, 21],\n [18, 4, 8, 35, 6, 14, 28, 3, -6, -6, -8, -13],\n [14, 13, -10, 6, 8, 21, 10, -2, -16, 30, -20, 3],\n [-... | 576 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[26, -23, 0, 32, 23, -7, 32, -18, -24, 14, 19, -35],\n [0, -20, 2, 14, 9, 15, 30, 13, -5, 18, -35, -28],\n [0, 0, 34, 35, 17, -2, 11, 32, -3, 31, -11, 8],\n [0, 0, 0, -33, 16, 14, -21, -3, -26, -12, -12, -13],\n [0, 0, 0, 0, 35, 11, -13, -18, -20, 9, -30, 17],\n [0... | 24 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[27, 33, 23, -34, -17, 21, -13, -16, 21, 31, 6, 24],\n [-13, 6, -13, -16, 16, 13, -18, 35, -23, 16, 20, -30],\n [-6, 0, -19, 31, 32, 0, 8, -31, 6, 6, -29, 2],\n [-16, 3, -29, -14, 34, 30, -15, 13, 22, 19, 7, -7],\n [-34, 0, 7, -10, 10, 32, 3, 23, -31, 4, 2, 28],\n ... | 264 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 22, -6, -23, -13, -8, 7, 1, -32, -33, -31, -11],\n [0, 32, -34, 9, -30, -26, -31, -13, 19, 22, -13, -11],\n [0, 0, -31, 19, -10, 24, -23, -28, 12, -1, 8, 21],\n [0, 0, 0, 27, -29, 25, 13, 12, 2, -4, 30, 1],\n [0, 0, 0, 0, -26, -28, -3, -13, 10, 28, 3, -35],\n [... | 256 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, -18, -24, -7, 35, 5, 26, -30, 13, -6, 6, 19],\n [0, 17, 11, 26, -30, -13, 30, 24, 6, 35, 12, -1],\n [0, 0, 26, 4, 35, 33, 16, 34, 3, 6, 15, -31],\n [0, 0, 0, -17, 30, 15, -7, 12, -3, -33, 26, 11],\n [0, 0, 0, 0, -31, 11, 9, -33, 10, 27, 1, 15],\n [0, ... | 719 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[34, -16, 12, -18, -31, 10, -28, -13, -10, -34, -25, -35],\n [0, 12, 2, 3, -14, -20, -22, -13, 30, -35, 22, 26],\n [0, 0, -9, -22, 6, 25, 18, 27, -33, 20, -1, -28],\n [0, 0, 0, -31, -9, -15, 19, 7, -13, -4, 10, -15],\n [0, 0, 0, 0, 25, -23, -15, 15, -9, -3,... | 60 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, 24, 26, -7, -30, 19, 29, -29, -2, -7, -26, 28],\n [-12, -28, -26, 35, -8, 17, 21, -10, -30, -17, -32, -26],\n [3, 10, -3, 9, 19, 8, -27, -35, 17, -1, 19, 26],\n [-23, -1, 23, -17, -29, 21, 27, 30, -26, 35, -25, -5],\n [-20, 19, 9, 30, -25, -5, 11, 8, ... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, -34, 20, 3, -3, -28, -15, -16, 6, 15, 3, 35],\n [0, 11, 8, 35, 12, 3, 35, 14, 9, 25, 17, -22],\n [0, 0, 34, -25, 12, 24, 22, 1, 19, -16, -8, -4],\n [0, 0, 0, -27, 12, -9, -5, -25, -21, 34, 17, -20],\n [0, 0, 0, 0, -15, -22, -10, 8, 12, -3, -25, -7],\n... | 993 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, -20, 6, -21, 27, -23, 18, 18, -6, -14, 4, -8],\n [-20, -31, -12, -6, 18, 16, -30, -8, -6, 14, -4, -4],\n [6, -12, 11, -12, 6, 0, 11, 6, -10, -10, -7, -4],\n [-21, -6, -12, 29, -1, -10, -8, -6, -2, -6, -3, 25],\n [27, 18, 6, -1, 6, 4, -17, 8, 4, -6, 8, -4],\n [... | 16 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-19, -8, -14, -31, 26, 23, 8, 35, -32, 0, 4, 26],\n [0, -19, -2, 15, 8, -22, -25, 2, 35, 28, 4, -29],\n [0, 0, 35, 4, -13, -28, 2, 6, -31, -30, 3, -34],\n [0, 0, 0, -17, -12, -10, 20, 21, 3, 27, 23, 29],\n [0, 0, 0, 0, -15, -19, 9, -22, 28, -10, 30, 17],\... | 7 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 2, 20, -10, -4, 8, -14, -1, -32, -18, -26, -1],\n [2, 18, -3, 8, -6, -29, 18, -17, -5, 1, 4, -23],\n [20, -3, 34, -6, -32, -10, -8, -12, 20, 20, -2, -18],\n [-10, 8, -6, 22, -9, -6, 18, 30, 4, -14, 15, -25],\n [-4, -6, -32, -9, 20, 16, -18, -5, -15, -1... | 456 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -12, 2, -22, -6, -18, 26, -1, -7, 12, -5, -22],\n [-12, 17, -22, 10, 4, 0, -26, -2, -4, -15, 16, -16],\n [2, -22, 30, 3, 12, 6, 2, 8, 0, -2, 11, -24],\n [-22, 10, 3, 17, -11, 0, 0, ... | 712 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, -13, 25, 34, -33, -31, 7, 0, 27, -20, -18, 35],\n [0, -29, 32, -23, 18, 1, -18, -27, -18, 22, -3, 21],\n [0, 0, 10, -28, -4, -12, -22, -26, 9, 12, 23, 17],\n [0, 0, 0, -25, 26, 13,... | 1 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-35, 20, -7, 32, 29, 7, 28, 7, -10, 20, 19, -33],\n [0, -18, 24, -15, -7, -23, 8, -15, 21, -1, -23, 6],\n [0, 0, 34, 24, -21, -31, -34, -7, -10, -24, -7, -10],\n [0, 0, 0, 24, -2, -13, 16, -33, 4, 30, 9, -28],\n [0, 0, 0, 0, -30, 23, 16, 33, 0, -15, -10, -... | 36 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-35, 28, -13, -11, 28, 19, 28, -28, 20, 3, -29, -11],\n [-2, 1, -29, 11, -12, 24, -32, -5, -11, -10, -35, -13],\n [-5, -8, -13, 32, 31, 14, 19, -31, 19, -14, 11, 2],\n [15, 24, -8, -6, -2, -6, 18, 28, -27, -26, -9, 33],\n [-9, -23, -25, -32, 16, -34, 3, 4,... | 752 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, -34, 28, 34, 30, 30, 24, 12, -27, 15, 6, 10],\n [-28, 23, -17, -29, 30, 33, 0, -14, -33, 23, 6, 18],\n [15, -7, 7, -4, -22, 17, 6, 23, 34, -23, -9, -32],\n [18, -7, -21, 23, 18, -16, -29, 19, 27, 22, 25, 30],\n [-8, 26, -25, -23, 5, 20, -6, 6, -12, 20, 5, -4]... | 496 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-33, -5, -9, 24, -7, -35, -27, -31, 25, 24, -7, -8],\n [0, 8, 25, -28, -24, -4, 24, -5, 15, 6, 22, 33],\n [0, 0, -33, 24, 9, -31, 32, -19, -30, 5, 17, 6],\n [0, 0, 0, 18, -26, 28, 30, 14, -28, -5, -17, -13],\n [0, 0, 0, 0, 12, -28, -18, -3, -25, -28, -6, 3... | 389 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, -11, -13, -12, 21, 15, 14, -10, -18, -19, 13, -5],\n [0, 33, -1, 8, 29, 22, -35, -10, -10, -30, 17, 9],\n [0, 0, 20, 33, 12, 21, -34, 34, 25, 19, -23, -29],\n [0, 0, 0, -33, -17, -10, -9, 2, -27, -23, 10, -21],\n [0, 0, 0, 0, 18, -35, 20, 13, -10, -25... | 76 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, -2, 14, 26, -29, 8, 8, 3, -12, -7, 8, 18],\n [-2, 31, -6, 7, 30, 24, 22, 23, 1, 4, 6, -7],\n [14, -6, 4, 6, -24, 32, -12, -6, 28, -18, 4, -19],\n [26, 7, 6, -3, -30, 6, 2, 26, -14... | 168 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 0, 15, 8, 0, -28, -15, -12, -8, 0, 3, 0],\n [0, 28, 26, -2, -1, 14, -8, -2, -22, -20, 15, 6],\n [15, 26, 20, 0, 4, -12, 0, -14, 4, 8, 0, 7],\n [8, -2, 0, -31, 14, 0, -2, 12, -11, -27, -12... | 216 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -30, -18, -18, -14, -15, 23, -25, -2, -5, -23, 18],\n [-34, -1, 31, -14, -7, 14, -22, 18, 5, -21, 1, -1],\n [33, 11, 25, -13, 21, 3, -23, 25, 24, 31, 14, 32],\n [-6, -32, 27, -35, 33, 33, -20, -4, 35, 35, -28, -35],\n [3, 18, -29, 8, 34, -4, 19, 10, -2... | 944 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, -7, -26, -17, -32, 20, -35, 22, -31, 16, -1, 0],\n [0, -8, -31, -21, -30, 2, -31, 12, 18, 3, 16, 31],\n [0, 0, -18, 21, -7, -12, -18, 10, 21, 24, -13, -25],\n [0, 0, 0, 16, 21, 30, 12, -9, -6, -7, 11, -29],\n [0, 0, 0, 0, 29, -17, -34, -33, -23, 26, 6, 31],\n ... | 808 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -12, 12, 4, -20, -19, 19, 5, -18, -31, -17, -27],\n [23, -4, -30, 22, 22, -23, 35, 24, 26, 29, -7, -17],\n [-1, -4, 13, 27, -17, 19, -1, 16, -9, 35, 34, 2],\n [-14, -17, 28, 8, -27, -11, -30, -3, -4, 1, 20, -5],\n [-5, 13, 6, -21, 14, 27, -7, -25, -31... | 120 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-31, 18, 1, 10, 34, 1, -15, 28, 2, 9, -18, -32],\n [-33, 35, 27, -21, -8, 22, 30, -9, -34, -27, -6, -16],\n [32, -4, -35, 2, -12, 11, 8, -35, 18, 9, 28, 28],\n [16, -14, 14, 0, 2, 27, 12, 6, -22, -31, 6, 17],\n [9, -26, 14, 31, -9, 12, -30, -32, -22, -18,... | 24 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[35, -18, -3, -26, -23, -6, 1, -2, 22, 6, 9, 4],\n [-18, -34, 3, -6, -30, 8, -14, 10, -13, -2, -27, 17],\n [-3, 3, 5, -3, -6, -6, 17, 18, -7, 2, -6, 2],\n [-26, -6, -3, -24, -6, 6, -6, 20, -2... | 408 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-34, -25, 12, -32, 19, -1, -29, -10, -14, 16, -31, -2],\n [0, -32, 4, 27, -2, 15, -9, -24, -8, 16, 16, 6],\n [0, 0, -8, 1, 7, 34, 21, 19, 5, 17, -10, -31],\n [0, 0, 0, -18, 24, 29, -6,... | 71 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -27, -24, -2, -2, 8, -9, 2, -2, 2, 6, 16],\n [-27, 27, 20, 2, 16, 10, -8, 30, -2, 16, -4, 6],\n [-24, 20, 1, -2, -7, 0, -6, -7, 24, 8, 0, 20],\n [-2, 2, -2, -3, -6, 4, 0, -16, -16,... | 744 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -31, -26, -10, 26, 14, 23, 29, -13, -13, 15, -3],\n [-9, -26, 32, 15, -35, -1, 20, -32, 9, -22, -24, 1],\n [-32, 4, 6, -32, 9, 21, -19, 14, -30, -24, 13, -15],\n [-27, -17, -4, -20, -14, -29, -23, 21, 28, 33, 6, -22],\n [14, -7, -16, 2, -17, 28, 25, 14... | 288 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, 17, 32, -1, 12, 16, -6, 18, 0, -20, 26, 11],\n [17, -6, -3, -33, -18, -10, -16, 6, 18, -9, -6, 14],\n [32, -3, -35, -16, -1, 20, 21, -12, -24, 2, -14, 34],\n [-1, -33, -16, 12, 4, 0, 5, 12, -4, -14, 17, -34],\n [12, -18, -1, 4, 18, 18, -8, 0, 4, -11, -17, 6],\... | 168 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, 23, 3, 31, 15, -5, -5, -24, -31, -22, 7, -8],\n [0, 11, -23, 19, 25, -2, -10, -3, 3, 10, 19, 3],\n [0, 0, 19, -14, 11, 21, 25, 14, -13, 30, -34, -27],\n [0, 0, 0, 22, -33, 35, -33, -23, 5, 9, -33, 1],\n [0, 0, 0, 0, -33, 8, 25, 25, 31, 25, -27, 11],\n ... | 949 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[31, -14, 9, 18, 6, 4, -31, -8, 26, 3, 34, 26],\n [0, 26, -9, -13, -28, -9, -29, 27, 24, 30, 2, 0],\n [0, 0, 6, 17, 25, 20, -21, 25, 34, 4, 5, 31],\n [0, 0, 0, -11, 21, 15, 18, -11, 33, -12, ... | 796 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, -3, 2, 8, 7, -20, 0, 1, 22, -21, -20, -1],\n [-3, 33, 12, 20, -13, 10, -8, -17, -4, 3, -1, -1],\n [2, 12, 35, 12, 15, 9, 16, -14, -22, -10, 9, -16],\n [8, 20, 12, -13, 18, -8, 9, -34, 4, -7, 6, -20],\n [7, -13, 15, 18, -3, -15, -18, 11, 25, 4, 0, 4],\... | 24 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-32, -32, 5, 0, 26, 10, 11, 22, 27, 0, -16, -26],\n [-32, -24, -30, 20, -8, 15, -1, -14, 12, 20, 3, 12],\n [5, -30, 11, 4, -15, 8, -26, 0, -12, 2, -8, -6],\n [0, 20, 4, 25, 2, -10, -19, 8, -20, -6, 10, -14],\n [26, -8, -15, 2, -35, 9, 2, 12, 4, -2, 18, -30],\n [10... | 224 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, -6, -29, -6, 32, -29, 1, -27, 9, -21, 4, 17],\n [0, -23, -13, 9, -16, -16, -28, 32, -30, -7, -8, 32],\n [0, 0, -10, -25, -4, 30, -33, -1, 14, 6, -26, 21],\n [0, 0, 0, -15, -22, 33, -5, 11, 19, 12, 10, 3],\n [0, 0, 0, 0, -8, 3, 21, -1, 26, -15, -1, 9],\... | 999 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 26, -33, 21, -7, 32, -26, -7, 33, -33, -32, -28],\n [0, -32, 30, 34, -20, -28, 20, -30, -12, 3, 6, -31],\n [0, 0, -21, 33, -15, 19, 24, 29, -22, -23, 34, 30],\n [0, 0, 0, 23, 15, 31, -26... | 1 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[26, -4, 4, -33, -7, -7, 7, -26, 9, -22, 16, -14],\n [0, 20, -23, 17, 0, -35, 34, -6, 19, -18, 31, -22],\n [0, 0, -13, 10, 17, -8, 9, 4, 28, 0, -13, -28],\n [0, 0, 0, 20, 7, 32, -26, 6, 30, 5... | 52 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, -9, 25, 0, -19, 22, -12, -35, -32, 17, 27, -34],\n [-15, 2, -5, -33, 20, 30, 9, 5, 16, 5, 1, 29],\n [-10, -6, 15, 6, -6, 21, 8, -5, 34, -1, 9, 21],\n [-34, 35, 20, 14, -13, -14, -28, -14, -11, -34, -26, 13],\n [-25, 29, -6, -2, 8, 19, -17, 22, -7, 0, -9, -14],... | 440 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, -22, -34, 18, -32, -8, 4, 33, -23, 34, -14, -14],\n [-19, -17, 13, -16, 23, -19, 15, -25, 15, -8, 10, -28],\n [11, 31, 15, -6, -24, -21, -10, 32, 25, 0, -5, 0],\n [27, -3, -34, -13, 15, 1... | 440 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, -8, -27, 6, -8, 0, -10, -25, 2, 22, 12, -8],\n [-8, -31, 2, 20, 17, 4, 17, 6, 16, -2, 14, 2],\n [-27, 2, 5, -2, 4, -8, -5, -12, -18, -12, 0, -6],\n [6, 20, -2, 2, -4, 27, -1, 8, -4, 8, ... | 168 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, 6, -19, -19, -21, -35, -26, 25, 23, 33, 12, 5],\n [0, 31, -33, -27, 5, 24, 17, 10, -28, -31, -10, -26],\n [0, 0, 24, -25, -26, -9, 7, -14, 3, -30, -2, 8],\n [0, 0, 0, -9, 3, -31, -1, 5,... | 580 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-28, 5, 10, -2, -8, 5, -12, -10, 23, 22, -18, -14],\n [5, -2, 14, -8, -15, -20, -21, -16, -9, -10, -8, -8],\n [10, 14, 34, 16, 2, 2, 24, 12, -2, 4, 6, -10],\n [-2, -8, 16, -21, -14, -3... | 576 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -9, 9, -17, 5, 5, 23, -15, -26, -33, 21, 6],\n [0, 32, -13, 34, -4, -14, 24, 19, -3, -27, 23, -8],\n [0, 0, -34, 12, 17, -25, 25, -25, -20, 18, -34, -10],\n [0, 0, 0, 15, 5, 35, 15, 8, -13, -35, -5, 25],\n [0, 0, 0, 0, 30, 18, -18, -10, -23, 1, -12, 32],\n [0,... | 21 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 31, -10, -24, 21, 8, 2, -15, 23, -35, 6, 7],\n [23, -14, 20, 35, 26, 31, -22, 21, -8, 27, -27, -2],\n [-14, -23, -8, -23, -11, -8, -24, 2, -12, 5, 13, 32],\n [17, -28, 34, 2, -23, -13, ... | 760 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, 25, -4, 9, 3, 6, -26, -6, 7, -7, 8, 14],\n [25, 6, 26, 14, -6, 21, 2, -16, 0, 20, -11, 16],\n [-4, 26, 6, -2, -6, -26, 7, 2, -11, -18, -24, 17],\n [9, 14, -2, 1, -14, 11, -15, -3, 21, 8... | 720 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -9, -14, 7, 16, 9, 5, -6, -14, -12, 1, -4],\n [-9, -16, -4, -22, 7, -30, -20, 12, 8, 5, -1, -8],\n [-14, -4, -26, -2, 19, -2, 10, 4, -12, 10, 0, 18],\n [7, -22, -2, 10, -20, 0, 2, 2, 0, 8, -21, -8],\n [16, 7, 19, -20, -27, -11, 14, -20, -6, -20, -20, -4],\n [... | 904 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[25, 7, 4, 18, -20, -2, 8, 0, -9, -20, 4, -4],\n [7, -24, -9, -11, 10, -2, 25, 8, -8, -16, 16, 6],\n [4, -9, 3, 23, -11, 5, -16, -8, -7, 26, 10, -6],\n [18, -11, 23, 34, -31, 16, -1, -14, 16, 2, -6, 1],\n [-20, 10, -11, -31, 16, -10, -12, 14, -2, 0, 18, 18]... | 480 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -13, 25, -13, -22, 8, 2, -4, 1, 1, -16, 32],\n [-26, 27, 4, -34, 29, 5, -15, 30, -2, 32, 15, -29],\n [4, 1, -10, 32, 30, -31, -28, 17, 20, -30, 14, -5],\n [27, 2, -15, 12, 14, -32... | 152 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[22, -18, 0, 35, 28, -34, 35, 32, -14, 33, 22, 7],\n [0, -30, 31, -21, 4, -5, -2, -14, -23, -4, 35, 24],\n [0, 0, 25, 11, 4, -28, 9, -9, 3, 13, -33, 24],\n [0, 0, 0, 32, 27, -31, 2, -19, 20, 15, -8, 27],\n [0, 0, 0, 0, -4, 14, -31, -9, 1, -30, -26, 26],\n [... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-32, 31, -21, 27, -11, 34, -7, -5, 35, 35, -15, -12],\n [0, -29, -32, -10, -28, 34, 5, 14, -14, 21, -30, 7],\n [0, 0, -34, -29, 18, 32, -27, 33, -35, -25, 21, 31],\n [0, 0, 0, 23, -24,... | 104 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-35, -27, -2, 4, 1, -17, -3, 31, -5, -10, 2, 27],\n [2, 0, 35, -21, 11, -1, 24, -2, -7, 20, -15, 2],\n [7, 19, -32, 15, -15, 7, -1, -35, 0, -1, 6, -3],\n [3, 3, -12, 15, -34, -34, -19,... | 776 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-20, -18, 4, -21, -1, -31, 23, 4, 31, 15, -10, 7],\n [-23, -31, -33, 12, 24, 20, -17, -17, -29, 26, 13, 34],\n [-31, -32, 24, 0, -25, 34, 11, -10, 18, 9, -17, -12],\n [13, -29, 29, 1, 23, -31, 27, -8, -1, 32, -13, 12],\n [-7, -24, 8, 2, -18, -13, 6, -1, -... | 944 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[26, 8, -17, 18, 5, -15, -10, -18, -12, -12, -6, -4],\n [8, -6, -10, -23, 18, -20, -8, 22, 2, 2, 14, -26],\n [-17, -10, -12, -5, -6, -21, -2, 8, -22, -10, 26, 0],\n [18, -23, -5, -1, -1, 2, -27, -3, 25, 18, -2, -14],\n [5, 18, -6, -1, -14, 12, -16, -1, 4, ... | 80 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, 22, -15, 25, -27, -33, 10, 6, -26, 24, 16, -30],\n [0, 6, -23, 5, -16, 13, 10, -28, 12, 30, 24, 21],\n [0, 0, 6, 4, 32, 21, 30, -1, 33, 28, 15, 5],\n [0, 0, 0, 29, 12, -1, 4, -15, ... | 200 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, 24, 2, 6, -2, -10, -12, -8, 18, 20, 14, -2],\n [24, 34, 0, -6, -15, -18, -12, -15, -25, -8, 8, -5],\n [2, 0, -26, 12, -5, 7, -14, -24, -18, 26, 13, -10],\n [6, -6, 12, 25, -10, -16, 6, -6, 22, 10, -8, 0],\n [-2, -15, -5, -10, -23, -19, -6, -2, -22, -... | 792 | MATH |
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