messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, -25, 26, 17, -21, 2, -22, -2, -5, -23],\n [0, -4, -30, 7, 13, -30, -3, 24, 18, -25],\n [0, 0, 26, 22, 26, 6, 10, -13, -17, -19],\n [0, 0, 0, -1, -30, -14, -12, -15, 25, 3],\n [0, 0, 0, 0, -10, 24, -12, -8, 0, 15],\n [0, 0, 0, 0, 0, 8, -5, -8, -8, -13]... | 520 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 19, 18, 6, -20, -22, -21, 21, -7, -7],\n [10, -29, 15, 30, 17, -19, -6, 15, 27, 5],\n [-28, 11, -5, -22, -3, -17, -4, -7, -26, 8],\n [12, -15, -23, -18, 9, -8, -26, 20, 30, -15],\n [23, 22, 25, 19, 20, 15, -26, -30, -6, 13],\n [28, 8, 21, -14, -24, 22, -28, -... | 910 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -22, -21, 23, 12, 10, 15, 3, 3, -20],\n [0, -28, -12, 9, -5, -23, 1, -30, 13, -15],\n [0, 0, -24, 4, 18, 17, -2, -29, -9, -9],\n [0, 0, 0, 25, 1, -30, 30, 30, 15, -5],\n [0, 0, 0, 0... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -20, 5, 30, -27, -5, -25, -1, -10, 21],\n [0, 28, 1, 7, -15, 18, 27, -14, 16, -16],\n [0, 0, 25, 26, -25, 27, -22, -21, 0, -22],\n [0, 0, 0, 29, 0, 2, 21, 20, 15, -6],\n [0, 0, 0, 0, -1, 9, 13, -29, 9, 2],\n [0, 0, 0, 0, 0, -16, 3, -14, 20, 13],\n [0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -29, 14, 21, 30, 3, -16, -22, 14, 30],\n [-2, -8, -9, -5, 12, -16, -15, -24, 8, 13],\n [25, -14, 22, -1, -15, 21, -22, 17, -5, 15],\n [12, -20, 13, 2, 20, 30, 9, 4, -28, -29],\n [28... | 855 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, 29, 4, -6, 4, 25, 25, -12, 29, -8],\n [26, -27, 11, 8, 0, -4, 26, -20, -3, -19],\n [7, -4, -30, -20, -26, 14, -25, 2, -27, -26],\n [21, 5, -13, 24, 18, -30, -10, 4, 24, 13],\n [-30, 6, 20, 8, -6, 22, -4, -25, 0, -21],\n [-4, -2, -30, -22, -4, 1, -10, -... | 449 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 23, 19, -24, -20, 9, -4, 24, -17, -30],\n [27, -18, 18, -11, -15, 27, 11, 10, 29, 19],\n [-28, 29, -27, -15, 20, 21, 20, 16, 8, -27],\n [2, 19, -12, -10, -9, -27, 14, 21, 12, 7],\n [-27, 18, 20, 17, 10, 1, 18, 28, 5, 18],\n [18, 21, -13, -2, 10, -30, -... | 372 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 29, -30, 17, -24, 26, 11, -3, 21, -6],\n [-26, -21, 19, -19, -8, 9, 20, 29, 12, 6],\n [20, 12, 11, -22, -24, 12, 29, 12, 9, -6],\n [-8, 0, -14, -16, -10, -23, -19, -7, -19, -8],\n [-3, -15, -12, -7, -11, 20, 17, 23, -19, -3],\n [-27, 23, -27, 17, -20, ... | 885 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, -13, -15, 6, -8, -22, 6, -27, -6, -8],\n [-13, 30, 16, 10, 16, 18, 1, 10, 4, -8],\n [-15, 16, 23, 2, 22, -23, 18, -11, -22, -1],\n [6, 10, 2, 9, 2, -4, -8, -11, -14, 0],\n [-8, 16,... | 371 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 16, 3, -11, -1, -17, -2, -3, -6, -2],\n [16, -28, -22, 0, 26, -20, 6, -16, 8, -28],\n [3, -22, 22, -7, -12, 18, 9, -2, -12, 10],\n [-11, 0, -7, -25, 18, -3, 12, -6, 10, -18],\n [-1, 26, -12, 18, -20, -2, 0, 8, 0, 16],\n [-17, -20, 18, -3, -2, -15, 6,... | 284 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, 27, 6, 6, -14, 8, 8, 0, -10, -12],\n [27, 2, 0, -4, -2, 2, -5, -2, -14, 10],\n [6, 0, 13, 8, 20, 20, -4, -8, -24, 0],\n [6, -4, 8, -28, 11, 1, -9, -25, -12, 6],\n [-14, -2, 20, 11, -10, 6, -8, 12, -2, -6],\n [8, 2, 20, 1, 6, 25, 0, -23, -1, 14],\n [8, -... | 818 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[30, -5, -14, -8, -6, -28, -19, -8, -9, -21],\n [0, 16, -1, -29, 22, 29, -22, -24, 30, -1],\n [-27, 17, 13, 3, 8, 6, 11, -7, 3, -9],\n [-6, 10, -4, -12, -23, 25, -4, 5, -20, 3],\n [12, 5, 21, -1, 26, -8, -15, 3, -11, 8],\n [20, 21, 24, -8, 0, 20, -1, 16, 4... | 125 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, -22, 3, 6, 17, 20, 9, -15, 11, 16],\n [24, -1, -29, -1, -10, -8, -10, 6, 30, 17],\n [-14, 5, 21, -27, -24, 12, 8, -26, -14, 7],\n [-14, 19, -11, 18, 7, -21, 4, -14, 4, 14],\n [17, -11, -19, -22, 9, -27, 29, -18, -26, 6],\n [0, -28, 16, -4, 1, -15, 2, 4, -13, -... | 501 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[16, -4, 14, 12, 6, 17, -29, -16, -19, -6],\n [-4, -6, -23, 8, 5, -2, -18, -7, 0, 15],\n [14, -23, 14, 10, -2, 18, -14, -9, -4, 5],\n [12, 8, 10, -9, 8, -2, 14, 8, 0, -6],\n [6, 5, -2, ... | 548 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 26, 0, 1, 19, 0, -24, -2, -4, -7],\n [26, 9, -22, 13, 2, -2, -2, -22, -2, 2],\n [0, -22, -29, 0, 23, 18, -6, -26, -2, 1],\n [1, 13, 0, 13, 6, 16, -2, -24, 18, -12],\n [19, 2, 23, 6, 8, -13, 9, -24, -13, 10],\n [0, -2, 18, 16, -13, 19, -8, 0, 4, 0],\n ... | 234 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, 24, 5, 4, -2, -2, -6, -1, 10, -6],\n [24, -19, 14, -13, 18, 2, 2, 25, -10, -13],\n [5, 14, -30, -6, 6, -18, 9, 21, 0, 0],\n [4, -13, -6, -23, 3, 8, -19, -2, -9, 0],\n [-2, 18, 6, 3, 22, 25, 0, 10, 9, -10],\n [-2, 2, -18, 8, 25, 11, -8, 24, -12, 6],\n [... | 862 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, -4, 14, -14, 3, 24, -1, -7, 19, 7],\n [-4, -26, -9, 1, 10, 1, -10, -3, -16, 1],\n [14, -9, -18, -8, 18, -7, 15, -8, 3, -24],\n [-14, 1, -8, -5, 0, -17, -6, 10, 8, 10],\n [3, 10, 18, 0, -11, 15, -8, 28, 5, 6],\n [24, 1, -7, -17, 15, -26, -10, -4, 0, -8]... | 584 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -16, -2, -15, 13, -14, 0, -17, -30, 29],\n [0, -28, 18, 5, 17, 23, 23, 4, 20, 26],\n [0, 0, -25, 9, 14, 24, 20, 24, -18, 8],\n [0, 0, 0, 17, 19, 3, 15, -19, 5, -17],\n [0, 0, 0, 0, 2, 15, 8, -21, 23, -22],\n [0, 0, 0, 0, 0, 29, 9, 25, 30, 28],\n [0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, -2, -18, 22, -5, -6, 10, -20, 4, 14],\n [-2, -6, 2, 12, -12, -14, -14, 14, 8, -12],\n [-18, 2, 30, 3, 15, 17, 3, 1, -8, -28],\n [22, 12, 3, 22, -6, 4, 6, -10, 7, 14],\n [-5, -12, 15... | 603 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-25, -14, -10, -19, 28, -26, -7, -28, 12, 16],\n [-28, -7, -4, -6, -20, -14, 2, -10, 4, 17],\n [-3, -12, -10, -13, -25, 20, -21, 4, 28, -20],\n [22, -23, -3, -26, 4, 25, -10, -25, 16, 15],\n [18, -7, 4, 18, -18, 10, 4, 11, 27, 24],\n [-9, 11, -9, -21, -28... | 630 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[27, -28, 21, 25, 9, 7, -15, 8, 21, -8],\n [-2, 14, 6, -12, 8, 15, -17, -11, -3, 26],\n [-4, -16, 6, -2, -29, -5, -11, 16, 1, 20],\n [-18, -15, -3, 6, -20, 11, 20, -10, -3, 13],\n [24, 29, -24, -10, -10, 10, -9, -20, -12, 4],\n [-26, 18, 23, 19, 18, -29, -8, -20, 1... | 732 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, 12, 12, 5, 19, 1, 18, 14, -25, -8],\n [-9, 7, -7, -5, 6, 22, -3, 27, 1, -28],\n [7, 13, 14, 19, 20, -24, -1, 0, -15, 19],\n [-23, -29, -27, 2, -11, -24, 14, -27, -28, 8],\n [-27, 22, 5, -8, 2, 2, 2, 7, 11, 27],\n [21, -28, 6, -1, 12, -18, -27, 19, -23,... | 696 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 3, 2, -17, -6, 1, 2, 10, 8, 6],\n [3, -4, 9, 17, -4, -1, -13, -24, -9, -11],\n [2, 9, 19, 2, 22, 0, -22, -14, 28, 21],\n [-17, 17, 2, -11, -4, -24, -6, 7, 8, 8],\n [-6, -4, 22, -4, 4, -24, -10, -11, 2, -18],\n [1, -1, 0, -24, -24, -29, 10, -19, 0, 14]... | 45 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -26, 7, -4, 15, -4, -11, -23, 8, 16],\n [22, 6, 29, 21, -15, 30, 23, -20, 1, 4],\n [30, 13, -21, 8, -25, -2, 6, -22, 5, -5],\n [20, -24, -2, 11, -10, 9, -24, 4, 20, -24],\n [18, -18, -8, -2, 8, 23, -8, -26, -29, 24],\n [18, -16, -30, 30, -17, -16, -18... | 229 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, -15, -15, -23, 28, -28, -9, 26, 26, 19],\n [-5, 20, 20, 16, 0, -15, -8, -9, -8, 14],\n [0, 11, 18, -28, -19, -25, -25, 1, -17, 24],\n [14, 15, 30, 15, 25, -26, 23, -20, -7, -13],\n [6, 2, 18, -13, -21, -18, -28, -4, -4, 29],\n [-14, 28, -28, -14, -7, 21, 19, -... | 424 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[20, 28, -24, -15, 10, -27, -20, -22, -16, 26],\n [23, -14, -2, 22, -13, -26, 12, -4, -12, 25],\n [30, -20, 8, 16, 27, -19, 20, -27, 28, -24],\n [-17, -14, -4, 26, 14, -1, 27, 25, 22, 6... | 365 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[26, -8, -15, 8, -13, 19, -2, -10, 10, 3],\n [-8, -20, 14, 9, -24, -16, 20, -10, -4, -3],\n [-15, 14, -20, 0, 16, 20, 14, 2, -6, 8],\n [8, 9, 0, 16, 0, -21, -5, 6, 26, 5],\n [-13, -24, 16, 0, 2, -15, -2, 17, 8, 22],\n [19, -16, 20, -21, -15, 25, -10, -15, -... | 892 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[23, -30, 20, 17, 16, -22, 5, -6, -1, -1],\n [0, -9, -27, -24, 15, 18, 30, 7, 19, -15],\n [0, 0, -15, 14, -23, 16, 12, 6, -25, 30],\n [0, 0, 0, 3, 12, 27, -11, 25, -15, 6],\n [0, 0, 0, ... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -9, 2, 14, 8, -14, -22, 1, 9, -6],\n [-9, 15, 4, -16, -8, -8, -15, -4, 20, 23],\n [2, 4, 17, 22, -6, -2, 4, 6, -20, 11],\n [14, -16, 22, -20, -14, -17, -4, 5, 3, -28],\n [8, -8, -6, -14,... | 791 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, 6, -3, 5, -16, 16, 27, -13, -10, 14],\n [-12, -5, -9, 0, -19, -7, 30, -15, 12, -30],\n [0, 17, 21, 7, 25, -10, -18, 7, -26, -2],\n [29, -14, 18, -19, -22, 5, -15, 20, -25, 27],\n [-12, 22, -2, 23, 8, -25, -26, 7, -24, 15],\n [-17, -4, 0, 30, 12, -10, ... | 999 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, 8, 0, -24, 13, 4, 22, 8, -12, 4],\n [8, 28, -8, 14, -8, 2, 23, -22, -15, 22],\n [0, -8, -26, -2, -10, 1, -12, 10, -10, 6],\n [-24, 14, -2, -20, -23, 12, -26, -10, -4, 0],\n [13, -8, -10,... | 889 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, 8, 15, -18, -10, -6, 2, -6, 18, -13],\n [8, 2, 6, 13, -10, 17, 12, -12, 16, 8],\n [15, 6, 17, -10, 0, 23, 22, 23, 3, -3],\n [-18, 13, -10, 29, -8, -12, 2, -8, -10, -21],\n [-10, -10, 0, ... | 69 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, -2, -12, 22, -18, 6, 22, -18, 12, 20],\n [-2, 12, 12, -8, -3, 0, 16, 21, 18, 18],\n [-12, 12, -11, -1, 6, -8, 14, 2, 0, 3],\n [22, -8, -1, -21, -2, 6, -12, -22, 3, -5],\n [-18, -3, 6, -2, 19, 12, 10, 14, 0, -12],\n [6, 0, -8, 6, 12, -2, 10, -4, 4, -6... | 697 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, -16, 2, 0, 22, -8, 0, 16, -4, 6],\n [-16, 16, 6, 6, -10, -22, -4, -14, -2, -26],\n [2, 6, 26, -6, -4, -5, 22, 11, -4, 4],\n [0, 6, -6, 12, 4, -4, 12, -24, -8, 0],\n [22, -10, -4, ... | 671 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[30, -20, 19, 10, 2, 20, -21, -20, 24, -20],\n [-20, 21, 17, -2, -6, 16, -20, 23, -10, -5],\n [19, 17, -29, 15, -12, -6, -20, 14, 7, 6],\n [10, -2, 15, -11, -22, 4, 0, -8, -3, -8],\n [2, -6, ... | 609 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -2, 1, 22, -27, -18, 10, 18, -1, 18],\n [-2, -2, -25, -18, -10, -6, -6, 2, 0, 9],\n [1, -25, 17, -25, -22, 6, 4, -16, -10, -5],\n [22, -18, -25, -25, 8, 5, 7, -2, 8, -15],\n [-27, -... | 286 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, -19, 29, -19, 20, 13, 24, -26, -10, 5],\n [-9, 5, -17, 24, -18, 23, 9, -18, 27, -1],\n [27, 6, -10, 30, -20, -18, 15, 4, 30, 30],\n [11, 14, -21, 26, -2, 22, -18, -11, -30, 16],\n [-20, 8, 9, 21, -20, 6, -29, -16, 11, 12],\n [-28, 18, 17, -14, 10, -1, 2, -12, ... | 79 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, 22, -14, -13, 4, 16, -3, -15, 9, 29],\n [-23, -10, -12, 23, -19, -9, -2, -25, 29, -1],\n [22, -12, -28, 15, -3, -13, 13, 21, 13, 22],\n [4, 26, -25, 12, 13, -30, 25, -14, 5, -3],\n [26, 15, 5, -22, -17, -20, 2, -26, 13, 2],\n [6, -14, -24, -15, 28, 15, -5, 24... | 139 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[25, -8, 3, 16, -9, -9, 0, -27, 6, -2],\n [11, 25, 11, 19, 11, 12, -5, -17, 30, -18],\n [-11, 28, 16, -21, -11, -5, -5, -10, 25, 21],\n [12, -4, 27, 28, -28, 16, -2, -4, -26, 29],\n [3,... | 532 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, -27, -8, 27, 19, -5, 26, 22, 1, 24],\n [-13, -4, -25, 15, 6, -22, -26, 14, 8, -9],\n [-20, 5, 14, -3, 24, 3, 11, -11, -18, 24],\n [2, 8, -19, -11, -20, -23, -7, 0, 6, 22],\n [-26, 21, 27, 10, -5, -15, 5, 30, -25, 28],\n [-24, 20, -5, 26, 4, -13, 5, 20, -19, 21]... | 746 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 4, -12, 12, -9, 16, 5, 15, -20, 18],\n [4, 5, -16, -12, 12, 13, -10, 4, -4, -16],\n [-12, -16, 29, 10, 8, 8, -23, -6, -6, -20],\n [12, -12, 10, 28, 10, -14, -10, 26, -3, -14],\n [-9... | 759 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, -4, -18, -11, 8, -3, 12, -9, 10, 3],\n [0, 4, 16, -15, 12, 22, -19, -15, 6, -3],\n [0, 0, 27, 0, 0, 19, -29, -23, 8, -6],\n [0, 0, 0, -25, -24, -13, 15, -9, -7, -18],\n [0, 0, 0, 0, 4, 7, -27, -22, -30, -21],\n [0, 0, 0, 0, 0, 3, -11, 3, 16, -21],\n [0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, 8, -10, 1, 0, 16, 12, -9, 12, -3],\n [8, -29, -13, -7, -11, -8, 6, 4, 0, 2],\n [-10, -13, 7, 10, -6, 12, -20, -10, 4, -18],\n [1, -7, 10, 15, -12, -10, 5, 20, 11, -18],\n [0, -11, -6, -12, 23, 12, -2, -24, 8, -18],\n [16, -8, 12, -10, 12, 15, -13, -4... | 638 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 22, 23, -11, -10, -5, -11, -2, -23, 3],\n [-29, -19, -4, 27, 21, -23, 1, -5, 1, 17],\n [24, -22, -9, 6, 3, -22, 30, 30, 29, -16],\n [-6, 25, -14, -9, 11, 24, 12, 1, -30, 10],\n [-8, 15, ... | 551 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, -11, 6, -4, -3, -15, 0, 12, 30, -22],\n [20, -8, 29, 12, -25, 16, -8, -13, 20, -19],\n [13, 13, -9, -10, -19, -20, -16, -28, -15, 22],\n [29, 11, 10, 30, 28, 5, -5, 16, -1, -25],\n [5, 19, -2, -27, -1, -16, 16, 10, 17, -28],\n [25, 9, -21, 10, -17, -5, 28, 21... | 442 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -1, -26, -27, 5, 7, -20, 27, 23, -9],\n [14, -4, -4, -18, -20, 5, -30, 27, -1, -30],\n [18, -21, 15, -27, -2, 1, -22, -2, 6, 2],\n [0, -18, 15, -29, -12, 17, 17, -7, -23, -29],\n [1... | 863 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, -16, -18, 28, -29, 21, -5, -18, -17, -13],\n [0, -2, -16, 28, -2, 7, -30, 30, -13, -3],\n [0, 0, 11, -8, -3, -27, 23, -16, -4, -28],\n [0, 0, 0, 4, 25, -10, 16, 14, -24, 25],\n [0, 0, 0, 0, -6, -4, 10, -1, -26, 9],\n [0, 0, 0, 0, 0, 22, 29, -28, 25, ... | 448 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, 16, -15, 25, -14, 5, -7, -12, 14, -12],\n [0, -17, 26, -21, 11, -12, -27, -14, -6, 20],\n [0, 0, 15, 3, -16, -6, -28, 6, -13, 4],\n [0, 0, 0, 7, 17, 8, 9, 6, -10, 19],\n [0, 0, 0, 0, -2, 15, -10, 23, 15, 4],\n [0, 0, 0, 0, 0, -17, -2, 21, 5, 11],\n [0... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, 6, 23, -13, 6, -27, 9, 28, 21, -27],\n [-10, -27, -23, -30, -29, 20, -6, -26, 30, -18],\n [-23, 9, -30, -17, 15, -6, 1, 15, -4, -26],\n [-14, 21, 3, -14, -25, -7, 27, 18, 1, -20],\n [26, -19, -30, -19, 19, 10, -15, -13, -22, -15],\n [-2, 1, 13, 20, 28, 16, -5... | 756 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -2, 4, 4, 11, -7, 7, 0, 22, 13],\n [12, -19, -17, -15, -18, -26, 5, -16, -21, 26],\n [-9, -12, -10, -5, 19, 2, -8, 2, -22, 29],\n [25, 12, 18, -20, -23, -4, 4, -9, 16, 19],\n [28, 29, -10, 30, 23, 10, -1, -29, -2, -13],\n [21, -11, 30, -26, 23, 30, -9, -13, -2... | 673 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 26, -18, -5, 20, 25, -6, 0, 5, 18],\n [-23, -14, -13, -2, 16, -24, -5, -4, 23, -13],\n [-24, -3, 27, 5, -7, -6, 8, -30, -26, -26],\n [-26, -25, -11, -25, 2, 17, -6, -23, -9, 9],\n [-27, ... | 704 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -2, -9, 26, -14, -12, 10, -29, 20, -14],\n [-25, 18, 10, 5, -27, -18, 5, 5, -30, 29],\n [21, -24, 29, -3, 16, 27, -28, -18, 3, 8],\n [9, 6, 21, 17, -24, -25, 29, 28, 18, 17],\n [-23, -9, 29, 0, -20, -24, -15, -25, 0, -4],\n [22, -8, -8, -28, 11, -15, 2... | 348 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, -15, 12, 28, 15, -25, 19, 10, -18, 30],\n [0, 4, -24, 1, -4, 14, 4, 25, -1, -30],\n [0, 0, -15, 14, -24, -17, 30, 26, -19, 5],\n [0, 0, 0, -29, -19, -22, -21, -18, -8, 19],\n [0, 0, 0, 0, 7, -6, -15, -12, -9, 15],\n [0, 0, 0, 0, 0, 29, 28, -7, 21, -16... | 40 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 7, -9, -15, 18, -23, -6, -14, 16, 10],\n [7, 21, 2, -3, 10, 0, -4, -12, 12, -10],\n [-9, 2, 10, 26, 6, 0, -2, -25, 4, 5],\n [-15, -3, 26, -5, 12, 6, -14, -25, -8, 5],\n [18, 10, 6, 12, ... | 573 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, 24, -23, 12, 8, -22, 11, 22, 25, -1],\n [28, -22, 20, -12, -22, -26, 17, -29, 26, 21],\n [15, -12, 20, 10, 12, -12, -21, 24, 13, -14],\n [25, -4, -18, -6, 11, -24, 13, -29, -13, -22],\n [-4, 21, 28, -21, -11, -8, -10, -4, 17, -22],\n [-9, -16, -17, -17... | 41 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, 2, 3, 20, 26, -8, -5, -5, -12, 27],\n [0, -7, 5, -28, 30, 3, -18, -30, -21, -30],\n [0, 0, -20, 30, -5, 30, 21, 1, 2, -2],\n [0, 0, 0, -8, 3, 30, 2, -1, 20, -30],\n [0, 0, 0, 0, 11, -16, 28, 5, 0, 27],\n [0, 0, 0, 0, 0, 13, 20, -12, 26, 25],\n [0, 0,... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 2, -17, 5, 29, -25, 20, -27, -12, -1],\n [-25, 22, -22, 1, 27, -14, 23, -14, 28, -5],\n [27, -14, 27, -19, 22, 26, -13, 5, 10, -13],\n [-18, 5, -10, -5, 29, 30, -28, 0, -15, -26],\n [-27, -3, -16, 0, -20, -18, 8, -7, 3, -4],\n [-19, 13, -23, -11, -27... | 474 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 26, 15, 13, 28, -8, -12, -29, 25, -9],\n [0, -19, 21, -11, 11, 0, 0, 13, 3, -6],\n [0, 0, -21, 17, -10, -4, -8, -9, 11, -10],\n [0, 0, 0, 22, -7, -28, 22, 18, 5, 2],\n [0, 0, 0, 0... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 27, -22, 21, 12, -19, -21, -9, -4, -16],\n [0, -10, 11, -10, 21, -2, 15, 4, -15, -1],\n [0, 0, -15, -2, -25, -29, 24, -20, 1, 24],\n [0, 0, 0, -1, 4, -13, -18, 8, 19, 8],\n [0, 0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, -24, -8, -2, -3, 14, 19, -4, -20, 10],\n [-24, 14, -12, -18, -5, -7, 3, 10, -1, -20],\n [-8, -12, 6, -6, -23, -12, -10, -22, -2, 4],\n [-2, -18, -6, 5, 5, -6, -12, -6, 8, -14],\n [-3, -5, -23, 5, -13, -12, -3, 18, -24, 16],\n [14, -7, -12, -6, -12, -10... | 862 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 27, 27, -25, 15, -26, 7, 8, 26, 10],\n [28, 26, 11, 14, 12, -14, 12, 8, 17, -8],\n [-7, 26, 3, -7, -7, 19, 12, 5, 11, 8],\n [-23, -10, 14, 14, -15, -3, 28, 20, -3, -25],\n [-26, 7, 4, 19, 29, 0, -9, -17, 10, 24],\n [-29, 0, 28, 13, 30, -20, 10, -2, 29... | 11 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, -6, -2, 2, -2, -2, 18, 13, 20, 0],\n [-6, -9, 2, -6, 4, 4, 25, 2, -12, 19],\n [-2, 2, -25, 6, -4, -8, 22, 5, -3, 2],\n [2, -6, 6, -18, -16, -8, -20, -8, -15, -4],\n [-2, 4, -4, -16... | 462 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, 12, -9, -5, 13, 8, -7, -24, 13, 23],\n [0, 24, 16, -16, 19, -18, 21, -10, -10, 14],\n [0, 0, -14, 5, 8, 29, 26, 8, -22, 15],\n [0, 0, 0, -7, -21, -1, -18, 14, -23, -13],\n [0, 0, 0, 0, -22, 16, 7, 11, 1, 21],\n [0, 0, 0, 0, 0, 10, -18, -3, -25, 27],\n [... | 880 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[30, -13, 6, 26, 29, 27, 13, 30, 21, 27],\n [8, -25, 27, -24, -21, -8, 18, 2, -1, 2],\n [-22, 10, -20, 27, 26, 20, -13, -17, 17, 1],\n [3, 0, -16, 4, -13, 22, -21, -11, 1, -7],\n [0, -30, 10,... | 368 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, -11, -19, 0, -18, 30, 26, -9, 22, 13],\n [0, 10, -10, 2, 5, 17, -18, -8, 7, 0],\n [0, 0, -11, 13, 15, -15, -17, 24, 26, 26],\n [0, 0, 0, 9, 1, 6, -27, -7, -13, 13],\n [0, 0, 0, 0, 21, 26, -20, 20, 11, 6],\n [0, 0, 0, 0, 0, 24, -12, 13, -1, 23],\n [0, 0, 0, 0, ... | 120 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, 30, -6, -21, 26, 21, -11, 15, 7, -11],\n [-19, -25, -19, 20, 22, -24, 9, -8, 27, -27],\n [1, -11, -21, -29, -19, 20, -9, 6, 30, 15],\n [18, 3, -11, -5, 24, 7, -30, -26, 2, -1],\n [24, -5, -9, -11, 13, 30, 2, 1, -8, -8],\n [2, -24, 5, 25, 5, 7, 0, -23,... | 964 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -28, -29, -15, 20, -11, -28, 29, -13, -23],\n [0, -2, -21, 19, -21, 27, 24, 16, -13, -10],\n [0, 0, -7, 27, 12, -2, 18, 17, -12, -9],\n [0, 0, 0, 8, 23, 24, 30, -14, -11, -27],\n [0, 0, 0, 0, -1, 22, 22, -11, 12, 25],\n [0, 0, 0, 0, 0, -4, 18, 14, -20... | 200 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 28, 26, -28, 7, -17, -4, 6, 23, 14],\n [0, -28, 1, 4, 27, -30, -27, 29, -24, -4],\n [0, 0, 3, -22, -28, 2, 7, -27, -20, -30],\n [0, 0, 0, 22, 6, -14, -7, 24, -11, 5],\n [0, 0, 0, 0, 21, -22, -17, 26, -18, 18],\n [0, 0, 0, 0, 0, 28, 19, 26, 20, -27],\... | 240 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, -7, 13, -22, 28, 25, -21, -14, 30, 13],\n [-27, 7, -3, -5, -24, -28, 9, 10, 5, -15],\n [15, 0, -14, 11, 5, -20, 28, -22, -18, 26],\n [-26, -29, -14, -26, 17, -15, -24, -25, 5, 24],\n [3, -10, -10, 26, -16, -16, -5, 30, 24, -4],\n [18, -26, 19, 7, -6, ... | 842 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, -2, 8, 10, -10, -15, -25, 1, -10, -23],\n [-2, 12, 12, -15, 12, 0, -2, 8, 14, -26],\n [8, 12, 25, 8, 18, -7, 12, 2, -10, -26],\n [10, -15, 8, 3, 7, 2, -16, 18, 6, 2],\n [-10, 12, 18, 7,... | 433 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 7, -13, -16, -18, -23, -1, -8, -23, 20],\n [0, -12, 1, -20, 23, 18, 18, -30, -17, -20],\n [0, 0, 18, 1, 27, -7, -27, -12, 14, 12],\n [0, 0, 0, 27, 21, -15, 4, -20, -2, -8],\n [0, 0, 0, 0, -7, -2, 23, 24, 4, -7],\n [0, 0, 0, 0, 0, 12, -12, -2, 21, 1],\n... | 912 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, 17, 10, -21, -16, -16, -2, -7, 6, -6],\n [17, 9, -4, -10, 17, -6, -8, -6, -4, -6],\n [10, -4, 9, 24, -4, 13, -3, -16, -6, 14],\n [-21, -10, 24, 14, -12, 6, -28, -2, -2, 20],\n [-16, 17, -4, -12, 12, 8, 0, 30, 15, 0],\n [-16, -6, 13, 6, 8, -22, 20, 2, 0, -4],\n ... | 126 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, -25, -28, -19, -4, -12, 22, -30, -23, 30],\n [0, 26, -2, 9, 4, 10, 5, 4, 0, -18],\n [0, 0, -28, 19, -27, 23, -29, -16, -30, 26],\n [0, 0, 0, 10, 10, 13, 1, 18, -17, -18],\n [0, 0, 0, 0,... | 120 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, -4, 6, -14, 4, -18, -2, -28, -5, 15],\n [-4, 13, 22, 20, -12, 22, 1, -2, 3, 5],\n [6, 22, 12, 14, 2, -16, -17, -4, 1, 11],\n [-14, 20, 14, 24, 6, -12, 4, -12, 17, -15],\n [4, -12, 2, 6,... | 512 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -3, 5, -2, 9, 15, -28, 2, 12, 2],\n [-3, 13, -4, -18, 22, 0, -14, 14, -12, -20],\n [5, -4, -7, -1, 1, -25, -27, 23, 2, 4],\n [-2, -18, -1, -14, 18, -8, -1, 4, 2, -5],\n [9, 22, 1, ... | 641 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, 7, -16, -10, 9, -15, -4, -15, 9, -5],\n [0, -2, -12, 26, 22, -30, 8, -25, 1, -22],\n [0, 0, -19, 23, 10, -28, 3, -14, -15, 16],\n [0, 0, 0, -1, -3, 7, 20, -7, 11, 20],\n [0, 0, 0, 0, 7,... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 17, -5, 4, -28, 25, -22, -22, 3, -23],\n [0, -17, -21, 22, 0, -17, -20, -27, 23, 28],\n [0, 0, 2, 2, -16, 7, 0, -2, -30, -17],\n [0, 0, 0, 28, 29, -22, 9, -29, -4, -15],\n [0, 0, 0, 0, -6, -2, 3, -2, -9, 28],\n [0, 0, 0, 0, 0, 1, -30, 28, 11, -4],\n [0, 0, 0, ... | 440 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 20, -24, -15, -4, -11, -8, 16, 26, 8],\n [26, -24, -20, -5, 3, -29, -20, -29, 19, 10],\n [-20, -1, 20, 26, -5, 2, 4, -22, -26, -12],\n [-13, -26, -18, 7, 30, -24, 20, -5, -30, -18],\n [-... | 36 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 3, 10, -4, -14, 12, -14, 10, -14, 18],\n [3, -25, 16, -16, 4, 3, -18, 4, -18, -12],\n [10, 16, 23, 20, -8, 26, 12, 10, -4, 10],\n [-4, -16, 20, 18, -8, -12, -10, -12, 20, -16],\n [-14, 4, -8, -8, -1, -11, 4, -8, -14, 2],\n [12, 3, 26, -12, -11, 8, 0, ... | 880 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 28, 0, -15, 8, -20, 2, 21, -4, 0],\n [28, -3, -5, 8, 13, 10, -12, -12, 13, 12],\n [0, -5, -22, -3, 15, 14, -16, -10, -4, -18],\n [-15, 8, -3, -22, 18, -22, -10, 3, 0, -10],\n [8, 13... | 980 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, 14, -4, 11, -22, -22, 17, 14, 19, 18],\n [0, 2, 21, -27, 22, -22, 30, -16, -18, -24],\n [0, 0, -1, 18, -4, -21, 27, 10, 6, -23],\n [0, 0, 0, 18, -19, 27, -12, -13, -8, 30],\n [0, 0, 0, 0, 8, 15, 6, -27, 15, -21],\n [0, 0, 0, 0, 0, 13, -30, 25, -11, -3... | 424 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, 18, 10, 29, -9, -15, 26, -15, 10, 23],\n [0, -1, 24, -17, -11, 28, -13, -2, -13, 24],\n [0, 0, -9, 26, 9, -3, 24, -11, 22, -24],\n [0, 0, 0, -6, -13, 9, 5, 28, -22, -10],\n [0, 0, 0, 0, 11, -5, -17, 6, 7, -8],\n [0, 0, 0, 0, 0, -26, 0, 26, 27, 29],\n ... | 360 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, -25, 15, -15, 2, -30, -5, -4, -26, 0],\n [0, -20, -19, 17, 17, 5, -20, 29, -6, 12],\n [0, 0, -5, 4, -29, 17, 24, -12, -12, 1],\n [0, 0, 0, -1, -11, -26, 4, 25, -17, -11],\n [0, 0,... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 2, -7, -7, 0, -1, 12, -21, 11, -22],\n [-11, 5, -5, -7, -21, -11, 14, -7, 24, 23],\n [-5, -18, -6, -18, -14, -14, 16, 24, 3, -13],\n [1, 8, -4, -8, -11, 29, 8, 19, 18, -16],\n [-26, -17,... | 212 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 7, 1, 17, -21, -8, 22, -18, -13, 27],\n [0, -25, -26, 15, 2, 16, -27, -26, 16, 16],\n [0, 0, -30, -13, -13, -15, 19, -24, -1, -18],\n [0, 0, 0, 25, 22, -20, -13, -5, 28, -22],\n [0, 0, 0, 0, 8, 0, -24, 20, -10, -7],\n [0, 0, 0, 0, 0, 9, 26, -15, -19, 1... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[27, 23, -13, -3, -23, -18, -3, 29, -9, 5],\n [-18, -18, 28, -28, -20, 30, 12, -15, -28, 1],\n [27, -1, -20, -10, -6, 6, -25, -17, -4, -26],\n [-12, -20, -5, 14, 21, 20, 30, -6, 16, 20],\n [-16, -11, -18, 27, 30, -16, -17, -19, -12, -26],\n [10, 19, 2, -18, -3, 26,... | 802 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 25, 19, -26, 28, -9, 23, -14, 22, 19],\n [20, 24, 21, -19, -26, -3, 10, 14, -19, -2],\n [-3, 25, -8, -10, -1, 9, 26, 1, 7, -17],\n [25, 30, -27, 22, -16, -10, -7, 23, 0, -4],\n [-5, 28, ... | 390 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, -13, -10, 15, -28, 26, -15, 30, -12, -24],\n [-22, 6, -30, 4, -20, -22, -22, 3, 11, -5],\n [-24, -8, -28, 24, 21, 22, 27, 9, 30, 5],\n [19, -21, 22, -8, 22, -30, -2, 6, -20, 25],\n [23,... | 910 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -4, 24, -7, 12, 8, -8, 0, -16, 20],\n [-4, -9, -5, -18, -12, -14, -18, -20, 7, 5],\n [24, -5, 13, 10, 18, 8, -4, 12, 6, -12],\n [-7, -18, 10, 2, -15, -8, 2, -7, 16, 10],\n [12, -12, 18, -15, 27, -5, -18, -10, -27, -10],\n [8, -14, 8, -8, -5, -7, -20, -4, -9, 2... | 177 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 10, -25, -3, 28, -25, -3, 5, -10, -15],\n [0, 6, -25, -23, -26, 7, -6, 3, 12, -23],\n [0, 0, -21, -11, -6, 20, -3, 23, -30, -9],\n [0, 0, 0, -1, 29, -12, 22, -7, -14, -26],\n [0, 0, 0, 0, 20, -11, -29, -7, -14, 0],\n [0, 0, 0, 0, 0, -21, 5, 7, 29, 1],... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, 1, 3, 19, -13, 23, 26, -17, -25, 0],\n [0, -30, 9, -27, -1, -17, -11, 10, -27, -19],\n [0, 0, 2, -23, -10, 19, -10, -17, 10, -13],\n [0, 0, 0, 15, 13, 1, -22, 12, 10, -14],\n [0, 0, 0, 0, 28, 19, 0, 30, -12, 7],\n [0, 0, 0, 0, 0, -1, -12, 21, 8, 23],\n... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, -23, 0, -3, 14, -6, -12, -1, 14, 10],\n [-23, -1, 3, 6, -16, -5, 18, 10, -11, -10],\n [0, 3, 16, 20, 13, -22, 10, 2, 6, -18],\n [-3, 6, 20, 18, -3, -13, -20, -6, 8, 7],\n [14, -16, 13, ... | 914 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, -18, 15, 0, 9, 17, -14, 21, -29, 6],\n [0, -15, -11, -15, 13, 6, -1, 17, -23, -2],\n [0, 0, -21, 7, 27, 2, 25, 28, 13, 13],\n [0, 0, 0, -28, 1, -2, -18, -30, 16, -6],\n [0, 0, 0, ... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -2, -8, 0, 4, 0, -20, -19, -11, -6],\n [-2, -28, 8, 4, -4, -14, -2, -5, 5, -2],\n [-8, 8, 7, 6, -16, -16, 22, 4, 20, -10],\n [0, 4, 6, 8, 12, -4, 14, -20, 1, 12],\n [4, -4, -16, 12, 18, -8, -1, 15, 16, -12],\n [0, -14, -16, -4, -8, 18, 6, 12, 8, -10],\n [-20, -... | 870 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -2, 24, -2, 13, 5, 12, 28, 18, -4],\n [24, 9, 0, 26, 26, -11, -11, -2, -12, -23],\n [-20, 1, 8, -9, 13, -23, 12, -21, -14, -5],\n [-18, 1, -24, -13, 24, -23, -21, 8, -24, 6],\n [-11, 12, 20, 14, -8, 2, 28, 15, -6, 22],\n [22, -4, -25, -21, 3, -14, -7, 26, -11, ... | 518 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, -8, -1, 18, -14, -8, 16, 6, 12, -18],\n [-8, 26, 2, -2, 8, 6, 16, -12, 24, 12],\n [-1, 2, 13, 23, -10, -8, -25, -7, -16, -9],\n [18, -2, 23, -23, 4, 8, -7, 0, 11, -21],\n [-14, 8, -10, ... | 746 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-24, -19, -16, 6, -2, 6, -7, -16, -11, -11],\n [-19, -15, 2, 18, 21, 16, 16, -10, 1, 0],\n [-16, 2, -22, 14, -7, 2, -3, 9, -10, -7],\n [6, 18, 14, -15, -20, 8, 26, 19, 2, 8],\n [-2, 21, -7, -20, -4, -20, -2, 4, -4, -9],\n [6, 16, 2, 8, -20, -9, -8, 16, 18,... | 791 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -2, -14, -1, -12, 14, 5, 14, 7, -24],\n [-2, 10, -13, 18, 1, -6, -2, -4, -12, 10],\n [-14, -13, 9, 20, 16, 10, 12, -6, -21, -10],\n [-1, 18, 20, -24, 4, -14, 24, -8, -17, 10],\n [-12, 1, 16, 4, 28, -20, 0, -3, -17, 10],\n [14, -6, 10, -14, -20, 22, -1... | 556 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[25, -8, 4, -24, 8, 7, 8, -8, 6, -26],\n [-8, 1, 3, -12, -6, 16, -5, -22, 2, -2],\n [4, 3, -26, -13, 4, 5, 7, -2, 4, 0],\n [-24, -12, -13, -24, -4, -14, -11, -4, 14, -9],\n [8, -6, 4, -4, 27, -1, -8, 3, -4, -1],\n [7, 16, 5, -14, -1, -12, -4, 12, -14, 24],\n [8, -5... | 50 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, -18, -1, 22, 25, -18, 2, 23, -4, -28],\n [-24, -8, 20, 0, 15, 22, 21, 2, 7, 21],\n [5, 0, 14, -3, -26, 1, -20, -5, -23, -11],\n [-6, -21, -10, 20, -14, 19, -25, -13, -15, -6],\n [30, 18, -10, -14, 6, 23, 18, -14, 25, -14],\n [23, -30, 2, -27, -3, 2, -2... | 846 | MATH |
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