messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[9, 6, -9, 26, 21, -15, 3, -28, -17, -5],\n [-12, 4, 19, -21, 21, 13, -5, 15, 6, -5],\n [-26, 10, -16, 26, 14, -26, -25, -9, -7, 27],\n [24, 24, -12, -30, -15, -3, 22, 1, -25, 17],\n [-4, -1, -8, -7, -10, -5, 1, 23, -30, 18],\n [0, 15, -6, 26, -8, 14, 8, 21, -10, -... | 650 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, -18, 0, 22, -2, -16, 2, 20, 12, 21],\n [-18, -9, 2, 4, 6, -5, -6, 8, 0, 4],\n [0, 2, 11, 21, -6, -1, -15, -26, -6, 14],\n [22, 4, 21, -6, 0, 4, 15, 4, -10, 10],\n [-2, 6, -6, 0, -2, 5, -2, -21, 3, 18],\n [-16, -5, -1, 4, 5, -16, -14, -10, -6, -14],\n [2, -6, -... | 296 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, -2, -4, -2, -24, -13, 5, -7, -8, -4],\n [-2, 19, 4, -18, -4, -22, 27, 12, -10, 22],\n [-4, 4, 18, 12, 8, 4, 10, -19, -6, 18],\n [-2, -18, 12, 25, 9, -15, -10, 3, 0, 6],\n [-24, -4, 8, 9, -28, -2, -22, -14, 14, 14],\n [-13, -22, 4, -15, -2, -17, -20, -4... | 376 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -15, -16, 25, 20, 9, -21, 9, 13, -25],\n [0, 3, -21, 1, -23, 7, -12, 2, 26, -12],\n [0, 0, -9, 5, 23, 24, -11, 13, 5, 7],\n [0, 0, 0, -13, 21, -16, -10, -8, -13, -28],\n [0, 0, 0, 0, -19, 3, 30, 25, -3, -28],\n [0, 0, 0, 0, 0, 26, -25, 20, -18, -3],\n [0, 0, 0... | 424 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 11, 16, 14, 16, 20, 15, -22, 30, -10],\n [0, -22, 26, -8, -23, -12, 23, -11, -9, -7],\n [0, 0, 1, -23, -29, 14, -1, 26, -18, 14],\n [0, 0, 0, 20, 15, 20, -29, 16, -27, -7],\n [0, 0, 0, 0... | 440 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, 14, 6, 1, 22, 16, 20, 18, 13, 1],\n [0, -2, 22, -15, -30, 21, 16, 22, -22, 7],\n [0, 0, 9, 9, 21, 15, 10, 11, -24, 17],\n [0, 0, 0, -17, -3, -11, 28, 3, -11, -13],\n [0, 0, 0, 0, 1... | 720 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, 0, 26, 22, -5, -26, 0, 24, 13, 16],\n [-24, -19, -1, 30, -14, -26, 14, -28, -30, -6],\n [-15, -15, -26, -26, -17, -24, 17, -28, 10, 17],\n [-16, 1, 27, -17, -1, -22, 1, -26, 6, -7... | 744 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, -19, -1, -29, -9, -11, 10, 16, 6, 15],\n [0, -7, 0, 1, 8, 20, -2, 0, -22, 29],\n [0, 0, 16, 19, 0, -9, -15, 16, 10, -29],\n [0, 0, 0, 29, -19, -2, 11, -25, -1, -14],\n [0, 0, 0, 0, -23, 29, -4, 13, -12, -12],\n [0, 0, 0, 0, 0, -27, -3, 11, 16, -9],\n ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, 22, 2, -10, -2, -20, 10, 3, -2, -22],\n [22, -2, -4, -2, -5, 28, 6, -8, -16, -26],\n [2, -4, -30, 26, 8, -10, -16, 12, 28, -6],\n [-10, -2, 26, 0, 16, -8, -2, -6, 4, 2],\n [-2, -5, 8, 16, -25, -8, 12, -7, -12, -3],\n [-20, 28, -10, -8, -8, -23, -2, 9,... | 832 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[25, 19, 16, -11, 8, 6, -30, 29, -14, -27],\n [20, 30, -12, -22, 26, -5, 27, 24, 20, -18],\n [-7, 15, -1, -26, 11, 22, -27, 28, 20, 5],\n [-18, 6, -9, -25, -30, -11, 4, -24, 12, 30],\n [17, 17, 27, 0, -25, 2, -1, 23, -1, 26],\n [16, -2, 7, 28, 25, -27, 22, ... | 664 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -28, -18, 17, 1, 14, 20, 16, 7, 25],\n [0, -27, 28, -22, -27, -29, 7, -25, -21, -29],\n [0, 0, -18, -7, -3, -8, -28, 7, 16, 13],\n [0, 0, 0, 15, -17, 4, -6, 5, -25, -25],\n [0, 0, 0, 0, 8, -2, -1, -30, -26, -3],\n [0, 0, 0, 0, 0, 21, 3, 30, -2, 9],\n ... | 640 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 1, -3, -24, -3, 1, 0, -4, 18, -20],\n [1, -28, -21, -22, 0, -11, 26, 4, 6, 4],\n [-3, -21, 23, -10, -4, -2, 24, 5, -28, -6],\n [-24, -22, -10, -19, -4, 9, -13, -24, -21, -4],\n [-3, 0, -4... | 291 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[14, 28, 20, -11, -12, 2, 2, 7, -5, -10],\n [-5, -27, -27, 8, 8, -26, 15, 14, -16, 9],\n [-7, -6, 0, -29, 5, -1, -13, 9, 14, 24],\n [18, 8, 29, -7, -10, 30, 17, -2, 4, -14],\n [9, 21, 25, 14, 27, -23, -18, 5, -15, 28],\n [-16, -28, 17, 8, 9, 24, -27, 11, 21, 24],\n... | 866 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 0, -2, 17, 4, 2, 20, 0, 17, -25],\n [-22, 13, -27, -7, 9, 25, 14, 12, 13, 12],\n [7, -22, 23, 9, 4, -25, -12, 4, -4, -15],\n [-3, 5, -6, 8, -29, -1, -1, -23, 6, -25],\n [-7, -28, 11, 12, 13, -5, 24, 2, -28, 13],\n [-13, -5, 21, 25, -16, 2, 22, -8, -4, -... | 106 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, -6, -24, 2, -5, 24, 0, 14, 22, -18],\n [0, -16, -21, 6, -25, 26, -9, 15, -20, -10],\n [0, 0, -18, -25, -14, 26, 20, 8, 12, 30],\n [0, 0, 0, -21, -23, -21, -19, 27, 1, 3],\n [0, 0, ... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 22, 8, -22, -7, 20, 21, -4, 10, 10],\n [22, 5, -3, 20, 22, -2, 8, 18, -18, 12],\n [8, -3, 0, -15, -22, 6, 0, -14, 25, 0],\n [-22, 20, -15, 28, -20, -8, 2, -19, -2, 14],\n [-7, 22, -22, -20, 11, -12, 8, -2, 11, 6],\n [20, -2, 6, -8, -12, -24, 18, 7, 2, ... | 723 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[27, -18, 0, -22, -13, 10, -6, -4, 28, 8],\n [-18, 24, -6, 15, -24, -28, -12, -16, 0, -11],\n [0, -6, 8, 2, 18, 24, 6, 0, -4, -12],\n [-22, 15, 2, 0, -10, -24, 12, 14, 12, -2],\n [-13, -24, 18, -10, -7, -18, -28, -19, -12, 6],\n [10, -28, 24, -24, -18, 1, 2... | 627 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -18, 16, -1, -14, 7, 10, -18, 26, -28],\n [0, 27, -17, -22, -18, -4, -7, 21, 6, 19],\n [0, 0, 29, -27, 21, 29, 26, -14, -17, -9],\n [0, 0, 0, -14, 3, 15, -2, -4, 9, -3],\n [0, 0, 0, 0, 8, 28, 10, 6, -27, -11],\n [0, 0, 0, 0, 0, 7, -10, 12, -4, -20],\n... | 72 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -2, -12, -8, -4, -4, -12, 8, 4, 12],\n [-2, -4, -7, 11, -16, 1, -2, 1, 4, -5],\n [-12, -7, 4, -10, -14, 2, -6, 2, 6, -11],\n [-8, 11, -10, -2, 8, 18, 0, 24, 19, -6],\n [-4, -16, -14, 8, 12, -6, -8, 8, -13, -2],\n [-4, 1, 2, 18, -6, 30, 17, 4, -14, 13],... | 95 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -3, -28, -16, -13, 30, 21, 20, 18, -16],\n [0, -14, 24, -6, -14, -5, -22, 30, 17, -12],\n [0, 0, 7, 30, -1, 19, -2, -3, -11, -20],\n [0, 0, 0, -7, -6, 14, -23, -8, 6, 0],\n [0, 0, 0, 0, -6, -26, -20, -24, 5, -4],\n [0, 0, 0, 0, 0, 24, -2, 9, 6, 1],\n ... | 200 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, 5, 9, -5, 16, -14, -3, 5, -10, 15],\n [5, -24, -2, -6, 24, 4, 23, 24, -8, -18],\n [9, -2, -8, 2, -6, -16, -8, -8, 13, -4],\n [-5, -6, 2, -6, -17, 5, 21, -20, -8, 8],\n [16, 24, -6, -17, -22, -8, 8, 16, 16, 22],\n [-14, 4, -16, 5, -8, -2, -8, 16, 17, 6],\n [-3,... | 897 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, 15, -7, -17, -3, 3, -20, -22, 12, -24],\n [0, -15, -3, 18, 10, 14, -30, -26, -10, 7],\n [0, 0, 16, -16, -12, 5, -25, 18, 23, 2],\n [0, 0, 0, -14, 29, -30, -28, 10, 23, 22],\n [0, 0, 0, 0, 23, 30, -25, -24, -3, 21],\n [0, 0, 0, 0, 0, 21, 0, -18, -25, -... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, 4, 21, 2, -22, -4, -19, 22, -6, 2],\n [4, -6, 4, 16, -2, -18, 16, -4, 26, -6],\n [21, 4, 5, 6, -19, 4, 7, 14, 2, 9],\n [2, 16, 6, -8, -4, 0, 14, 0, -2, -20],\n [-22, -2, -19, -4, -15, -10, 13, 3, -6, -3],\n [-4, -18, 4, 0, -10, -3, 16, 10, -8, -16],\n [-19, 16... | 288 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -3, 10, 26, -4, 10, 20, 11, 4, 3],\n [-3, 10, 12, 4, 5, 6, -16, -3, 10, -6],\n [10, 12, 12, 22, 3, 12, 13, 1, 6, 4],\n [26, 4, 22, 23, -10, -6, -4, -6, 12, -2],\n [-4, 5, 3, -10, -6... | 554 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -24, -4, -4, 3, 14, -29, -13, -11, -8],\n [-23, -8, 27, 27, 26, 1, 16, 15, 27, 11],\n [27, -15, 2, -15, -29, -13, 2, -24, 7, 7],\n [20, 30, -7, -23, -27, -6, -1, 24, 10, 3],\n [-1... | 835 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 4, -3, -4, 0, 12, -21, -2, -14, -22],\n [4, -18, 7, 18, 2, -4, -15, -10, -1, 7],\n [-3, 7, 29, 1, 2, -2, 6, -8, 18, -12],\n [-4, 18, 1, -8, 0, 6, -16, 3, -1, 4],\n [0, 2, 2, 0, 29, 1, -1... | 748 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -4, 16, 17, -2, 2, 22, -4, 27, 17],\n [0, 8, -26, -23, -25, 22, 20, 11, -8, 3],\n [0, 0, 21, 17, -22, -5, 19, -24, -30, 21],\n [0, 0, 0, 27, 6, -19, 12, -23, 17, -28],\n [0, 0, 0, 0, 28, 9, -16, 22, 10, 11],\n [0, 0, 0, 0, 0, -1, 6, 16, -16, -28],\n [... | 176 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, 11, -21, -5, 29, -13, -17, 15, 1, -8],\n [0, 11, 20, -11, 27, -9, -12, 14, -20, -15],\n [0, 0, 25, 20, -23, 12, 25, 24, 1, -6],\n [0, 0, 0, 13, 16, 29, 27, 10, -23, -11],\n [0, 0,... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, 19, 15, -22, -11, 7, -16, -19, -9, 25],\n [-17, 9, -7, 7, -23, -6, 1, -4, -12, 23],\n [-13, -30, -10, 17, -14, -12, -15, 11, 25, -29],\n [6, -16, -26, 2, -25, -8, 4, -29, 18, -26],... | 934 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, 16, 30, 21, 25, -13, -25, -17, -3, 22],\n [0, 15, -1, -8, 4, -25, -17, 26, 10, -2],\n [0, 0, 2, 30, 16, 6, 25, -14, 19, 24],\n [0, 0, 0, 9, -29, -21, 15, -26, 12, -18],\n [0, 0, 0, 0, 24, -2, 25, -7, -13, -20],\n [0, 0, 0, 0, 0, 19, -6, 13, 28, -15],\n... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 13, -10, 20, -16, -7, -18, -18, 7, 0],\n [13, 26, 8, 14, 3, 0, 8, -4, 12, 14],\n [-10, 8, 8, 9, -8, 12, -2, 8, 2, -1],\n [20, 14, 9, 16, -10, -14, 11, 18, 26, 16],\n [-16, 3, -8, -10, -2, 20, -14, 0, -11, 4],\n [-7, 0, 12, -14, 20, -11, -4, 20, 0, -1... | 336 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[19, -9, 26, 30, -24, 11, -6, 30, -15, -24],\n [0, 10, -16, -4, -6, 24, -5, -21, 9, -18],\n [0, 0, -5, 27, -14, 23, 27, 26, 30, 14],\n [0, 0, 0, -6, 1, 4, -5, -9, -25, 9],\n [0, 0, 0, 0, -19, -29, 26, -13, -28, -12],\n [0, 0, 0, 0, 0, -10, -9, -13, -24, 28... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, -24, 10, 12, 6, 14, 6, 5, -4, 10],\n [-24, -9, 24, -9, 9, -15, -15, 20, -10, -2],\n [10, 24, 26, 3, -22, 26, -6, 2, -21, -12],\n [12, -9, 3, 7, -8, -9, 11, -4, -8, -11],\n [6, 9, -22, -8... | 504 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 12, 10, 24, 26, 20, -4, 13, -16, 18],\n [6, 2, -26, -1, -4, 30, 18, 18, 17, -2],\n [-23, -18, -26, -4, 25, 21, 8, 16, 12, 18],\n [14, -10, -28, 5, 29, -1, -18, 23, -11, -3],\n [27, 23, 4, -19, 17, -2, -7, -6, -4, -5],\n [-29, 12, 29, 5, 18, -23, -19, -10, 6, 2... | 508 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -29, 0, 30, -24, 19, -19, -27, 0, -1],\n [2, -1, -10, -21, -6, -14, -10, -17, 23, 23],\n [-24, 2, -16, -29, 1, -29, 3, -22, 20, 8],\n [-10, -23, 15, 3, 20, 3, 5, 3, -25, -10],\n [-30, 29, -26, -26, -19, -27, -26, -13, -30, -15],\n [-18, 1, -15, 22, -18, -12, ... | 182 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, 13, 12, 15, 15, 18, -25, -30, 14, 21],\n [-10, -7, 10, -21, 30, -3, 7, -17, -10, -22],\n [3, -14, 27, -5, 5, 4, 8, -7, -22, 21],\n [-12, -3, -11, -2, 27, 5, -6, -30, 28, 17],\n [2, 20, -24, 2, 3, 29, -12, 11, -30, 6],\n [24, 8, 29, 27, 2, -17, -10, 20, -14, -2... | 620 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[21, 10, 16, -1, -6, -26, -10, 9, 12, 23],\n [13, -27, -4, -30, 4, 28, 12, 12, -17, -21],\n [17, -2, -17, 19, 10, 5, 13, -22, 11, 7],\n [-29, -8, -20, 7, 24, 22, -8, -18, -4, -23],\n [29, -13, -3, -27, -24, 4, 10, -29, 20, -24],\n [-18, -20, 11, 21, -23, 1... | 939 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -4, 14, 7, -14, 21, 12, -12, 24, -22],\n [3, -1, -25, -20, -18, -18, 3, -9, 17, 28],\n [-14, -16, -29, 12, -11, -5, 18, 19, 19, 1],\n [18, -25, 25, 26, -27, -15, -11, 29, 27, -16],\n [-12, -2, 0, -4, -26, 9, 0, -3, 11, -15],\n [-7, 17, -3, -24, 28, 30, 2, 27, ... | 748 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 4, -6, -23, 11, -19, 29, -18, -29, 7],\n [9, 26, 4, 14, -11, 23, 19, -19, -21, 21],\n [12, 15, -7, -23, 27, -11, 15, 7, 5, 27],\n [-9, -1, -14, 3, -22, 16, 0, -3, 18, -16],\n [-24, -3, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -23, -29, -26, 12, 12, -5, -16, 17, 2],\n [0, -13, -8, -27, -9, 26, -4, -24, 9, -9],\n [0, 0, -14, -24, 26, -5, -2, -9, -18, -14],\n [0, 0, 0, -14, 18, 19, -27, -1, 9, -21],\n [0, 0, 0, 0, -15, -28, 28, -13, 17, 17],\n [0, 0, 0, 0, 0, -27, 16, 3, 27, -2],\n [0,... | 120 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-28, 5, 12, -9, 26, -14, 24, -18, -21, -6],\n [0, -17, -14, 6, 5, 1, 28, 18, -12, -25],\n [0, 0, -16, -26, -17, 12, -3, 0, 16, 23],\n [0, 0, 0, 6, 19, -17, -1, 21, 18, 23],\n [0, 0, 0,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, 1, -2, 28, 15, 13, -27, 2, -3, -7],\n [0, -30, -29, -3, 8, -27, -29, -29, 16, -23],\n [0, 0, -1, 11, -8, -16, 3, 29, -23, -14],\n [0, 0, 0, 25, -6, -23, 4, 13, -27, 21],\n [0, 0, 0, 0, 27, 9, -24, 21, -20, -18],\n [0, 0, 0, 0, 0, -22, 28, 25, 27, 2],\... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 24, 9, 2, 23, -29, 23, -27, -29, 26],\n [18, -5, 0, -1, 23, -16, 1, 28, -16, 11],\n [27, -20, -30, 23, -15, 30, -14, 7, -23, -15],\n [28, -24, -14, 17, 15, 29, 15, 15, 28, 19],\n [-13, ... | 586 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 22, 26, 2, 0, 9, 24, -13, -25, -12],\n [0, -14, -23, 7, -8, 7, 1, 3, 25, 14],\n [0, 0, 3, 10, -4, -27, 16, -28, -24, -18],\n [0, 0, 0, -15, 19, -8, -14, -1, -16, -20],\n [0, 0, 0, 0, 26, 16, -21, 30, -22, -21],\n [0, 0, 0, 0, 0, -13, -1, 11, 23, -11],\n [0, 0,... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, -28, -28, -8, 18, 12, 13, -25, 21, 0],\n [-28, -17, 4, -8, -16, 0, -3, 5, 5, 19],\n [-28, 4, 6, 20, -9, 24, -27, 2, 23, 14],\n [-8, -8, 20, -29, -12, 24, 16, 8, -18, -19],\n [18, -16, -9, -12, -27, -16, -8, -16, 8, 1],\n [12, 0, 24, 24, -16, 21, 0, -2, ... | 522 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[26, 10, -8, 15, -12, -10, -4, 6, 4, 16],\n [10, -21, -11, 4, -22, 18, 15, 16, -4, -18],\n [-8, -11, -22, -10, -8, 0, -24, -7, -6, 9],\n [15, 4, -10, 10, -18, 18, -8, -24, 21, 10],\n [-12, -22, -8, -18, 13, -20, 10, -23, -14, 12],\n [-10, 18, 0, 18, -20, -9, -4, 6,... | 820 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[25, 9, -4, 18, 29, -27, -15, 9, 9, -1],\n [13, 25, 13, 15, 2, -3, 15, -28, 24, 14],\n [-16, -6, -3, 23, -21, -24, 17, -27, -12, -10],\n [-13, -10, 6, -10, 2, 1, 19, -16, -28, 23],\n [-3, 11,... | 465 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 6, 18, -9, -22, -13, -7, 7, -2, 13],\n [6, -27, 10, -26, -14, -27, 6, -3, 0, 20],\n [18, 10, -16, 12, 4, -18, -10, 20, -9, -18],\n [-9, -26, 12, 27, -6, -10, 14, -20, -18, -16],\n [-22, -14, 4, -6, -25, 4, 12, 22, -18, -16],\n [-13, -27, -18, -10, 4, 2... | 978 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, -23, 0, 5, 27, -28, -27, 27, 27, -23],\n [-15, 8, -12, -19, -27, 8, 9, 12, -10, -17],\n [-10, 27, 9, -10, 18, 30, 29, 27, -1, -29],\n [24, -4, 22, 18, -5, 23, -28, 3, 25, -23],\n [-3, 1... | 784 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, -3, 12, -27, -10, -6, 8, -2, -18, -22],\n [-3, -10, 1, 12, -4, -12, -15, 12, -4, 2],\n [12, 1, 14, 10, 0, -10, -4, 14, 6, -2],\n [-27, 12, 10, -4, 4, -2, 13, -13, -6, 14],\n [-10, -4, 0, 4, -1, 24, 4, 6, -1, 22],\n [-6, -12, -10, -2, 24, -17, 20, -11, ... | 15 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 14, 14, -7, -15, -15, -14, -17, -2, -18],\n [-25, 27, -22, -20, 26, -8, 1, 5, 5, -25],\n [20, 21, 28, 19, -11, 2, 24, 18, -2, 3],\n [-17, 17, 25, 11, 15, -7, -9, 10, 30, -6],\n [-16, -7, 17, -15, 18, 6, 11, -4, 21, 25],\n [22, 1, 24, -16, -16, -2, 27, ... | 269 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -27, -19, 22, 29, 17, 27, 27, 27, 0],\n [0, -22, -7, -3, 10, 0, 25, -6, -19, -30],\n [0, 0, -17, -29, 4, 26, 3, 6, -30, 24],\n [0, 0, 0, -5, 4, 22, -8, -13, 0, 19],\n [0, 0, 0, 0, -8, 6,... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -16, 10, -21, -5, 21, 10, -5, -25, -22],\n [-26, -27, -1, -13, -19, -7, -17, -23, 18, -19],\n [-22, 2, -14, -24, -9, 24, 26, -23, 30, -9],\n [-26, -17, -29, 20, 2, 0, 14, 14, -21, -... | 434 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[23, -24, 6, -24, 4, 5, 4, 30, -8, 15],\n [0, 12, -29, -11, -30, -3, 13, 29, 15, 27],\n [0, 0, -27, 23, 19, 15, 8, 6, 12, 26],\n [0, 0, 0, 8, 10, -8, -22, 8, 27, -12],\n [0, 0, 0, 0, -3, 16, 22, -5, 17, 20],\n [0, 0, 0, 0, 0, 3, -18, -10, 15, -25],\n [0, 0, 0, 0, 0... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, 19, 26, -2, -17, -29, 13, -26, 5, 14],\n [0, 24, -15, -23, -1, -6, -9, 6, 8, -6],\n [15, -22, 26, -23, 12, 7, 19, 27, 25, -26],\n [-27, -14, -12, -5, -18, 9, 10, 28, -14, -14],\n [... | 366 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, -28, 17, -24, 28, -16, 16, 27, 29, -19],\n [-9, 9, -8, -27, 18, -13, 16, 5, -7, -18],\n [28, 8, -23, 24, -9, 9, -1, 13, -5, 5],\n [-15, -18, -3, 21, -14, 0, -9, -15, 21, -8],\n [-16, -25, -27, -9, 27, 24, -23, -17, 4, -12],\n [24, 21, 11, 25, -5, -17... | 361 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 7, 6, 14, 18, -14, -14, -18, -24, 6],\n [7, -21, -27, 0, -3, 13, -8, 4, 2, -22],\n [6, -27, 9, 16, 5, -14, 2, 6, -8, 8],\n [14, 0, 16, 8, -12, 4, -8, 0, -6, -6],\n [18, -3, 5, -12, -8, 2, -3, 12, -6, 4],\n [-14, 13, -14, 4, 2, 8, -2, 21, 24, 18],\n [... | 388 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, 27, 14, -11, -8, 14, 1, -26, 6, -9],\n [0, -23, -23, -22, 19, 28, 15, 5, -4, -29],\n [0, 0, -24, -8, 1, 20, -11, 10, 25, 22],\n [0, 0, 0, 22, 17, 4, 3, -17, -15, -2],\n [0, 0, 0, 0, 21, 7, -9, 24, -14, 18],\n [0, 0, 0, 0, 0, 12, 16, 1, -30, 1],\n [0, ... | 664 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, -28, 1, -5, -26, 9, 26, 17, -26, 30],\n [6, -3, 19, -18, 21, 7, 13, -14, -20, -11],\n [11, -9, -17, 12, -16, -3, 28, 15, 17, 11],\n [-12, -15, 9, 14, -22, 18, 19, 16, 0, 30],\n [18, 30, -21, 29, -10, -14, -19, -8, -26, 6],\n [-8, 4, 14, 9, -12, -30, ... | 953 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[2, -18, -12, -8, -4, 10, 8, 10, 14, -10],\n [-18, -20, -20, 10, 7, 4, -20, -2, -24, -18],\n [-12, -20, -29, 15, -2, 6, -18, -12, 29, 4],\n [-8, 10, 15, 9, -12, -14, 10, -2, 10, -24],\n [-4, 7, -2, -12, 27, -20, 8, -16, 3, 5],\n [10, 4, 6, -14, -20, -13, -2... | 345 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, -12, 3, -2, 2, -4, -5, 16, 10, -1],\n [-12, -4, -16, -20, -16, 6, 13, 14, 12, 10],\n [3, -16, 6, 3, 0, -2, -9, 23, 20, -18],\n [-2, -20, 3, -8, -4, -13, -2, 13, 8, 0],\n [2, -16, 0, -4, -20, -2, -4, -4, -2, -16],\n [-4, 6, -2, -13, -2, 26, -10, 20, -4, 8],\n [... | 341 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, 1, -28, 2, 24, -27, 3, 3, -4, 0],\n [0, -9, -28, 5, 24, 23, -20, -11, 19, -19],\n [0, 0, 15, -29, 22, -5, 15, -7, 24, 30],\n [0, 0, 0, -25, 1, -29, -7, -13, 19, -8],\n [0, 0, 0, 0, -15, -13, 3, 28, 19, -11],\n [0, 0, 0, 0, 0, -28, 27, -3, -7, -26],\n ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[29, -12, 12, 7, 10, -6, -20, 2, -7, -2],\n [-12, -16, -16, -14, 14, -12, 8, 10, -8, 22],\n [12, -16, 24, -15, 10, 3, 23, 19, 6, 4],\n [7, -14, -15, -4, 14, -14, -12, 16, -4, -14],\n [10, 14, 10, 14, -17, -24, -1, -14, -28, -2],\n [-6, -12, 3, -14, -24, 11... | 563 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, -14, -26, -23, -25, -5, 16, 23, 0, 6],\n [0, -11, -3, 13, -19, -6, -20, 20, 2, -15],\n [0, 0, -10, 9, 7, 0, -15, 27, -23, -27],\n [0, 0, 0, -16, 9, 2, 21, -19, 13, 16],\n [0, 0, 0, 0, 3... | 440 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, 8, 23, -8, 26, -2, -12, -10, -20, 9],\n [0, 19, 10, -6, -2, 25, -30, -3, -25, 23],\n [0, 0, 4, 0, 2, 6, -28, 1, -14, -27],\n [0, 0, 0, 14, 14, 11, 9, -27, 20, 17],\n [0, 0, 0, 0, 1, 23,... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 16, 15, -27, -27, 7, 21, 25, 9, 16],\n [-15, 16, 3, -21, 0, 9, 29, -12, -4, -8],\n [30, 25, -4, -22, 2, -12, 27, -29, -4, 18],\n [-4, 28, -18, 26, -29, 3, 10, 4, -5, -5],\n [20, 28... | 170 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, 0, -21, -1, 10, 2, -4, 19, -2, 1],\n [0, -21, -4, -16, -20, 2, -9, 6, -18, -10],\n [-21, -4, -20, -13, -2, -20, -15, 8, -3, 4],\n [-1, -16, -13, 20, 18, -15, -8, -8, -6, -2],\n [10, -20... | 326 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 24, -21, -12, -8, -4, -2, -30, -14, -24],\n [13, -23, -6, -22, -17, -21, 27, -1, -29, 19],\n [-4, 13, 7, 2, 24, -27, 13, -13, -16, -24],\n [-10, -10, -16, 23, 15, 8, 20, 17, -18, ... | 847 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -11, 11, -22, -24, -3, 23, -29, 14, 4],\n [6, 3, -24, 12, -12, -29, 30, 15, 27, 26],\n [-14, -10, -14, 0, -14, -12, 6, 4, 9, 0],\n [-9, -4, -1, -20, -20, 2, 12, -13, -9, -19],\n [-19, 29, -28, -24, -6, 20, 2, -28, -3, 16],\n [10, -25, 8, 9, -8, -27, ... | 468 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -1, 21, -1, 3, -5, -4, 20, -22, 4],\n [5, 22, 18, -1, 5, 15, 6, 12, -6, 13],\n [-16, 28, 3, -21, 12, 3, 22, 18, -22, -8],\n [25, 7, -3, -14, -25, 26, 24, 5, -28, 3],\n [-17, -18, -8... | 613 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -11, -15, -24, 17, 10, -30, -5, -27, 4],\n [-24, 10, 12, -22, 1, -25, -16, -25, -24, -16],\n [4, -2, -25, 28, 15, 3, 5, -13, 6, 23],\n [8, 7, 4, -16, 27, 17, -4, 29, -19, -20],\n [-6, -10, 23, 27, -21, -8, 24, -11, -8, -15],\n [14, -29, -24, 3, -9, -5, ... | 76 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-19, -17, -16, -19, -24, 16, 10, -22, 16, 6],\n [-17, 24, -12, 9, 4, -2, 23, 1, -9, 20],\n [-16, -12, -11, 6, -12, -2, -6, -3, 10, -22],\n [-19, 9, 6, 22, 9, -2, 6, 12, 6, 8],\n [-24, 4, -12, 9, 23, 2, -18, -12, -20, -20],\n [16, -2, -2, -2, 2, 1, -24, -8... | 30 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -14, 15, -6, 14, 14, 12, -20, 4, -3],\n [-14, -29, 20, -20, 16, 4, 13, -9, -10, 18],\n [15, 20, 7, 0, 20, 12, 8, -22, 2, 1],\n [-6, -20, 0, -4, 8, 5, -27, -10, 14, -6],\n [14, 16, 20, 8, 26, 2, -27, 0, 27, -10],\n [14, 4, 12, 5, 2, 2, -10, -6, 8, 4],\n [12, 1... | 102 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, -12, -17, -15, 21, 28, -10, 12, 13, -7],\n [13, -24, 27, -15, -2, 22, 20, 7, -2, -1],\n [-24, 29, -18, -26, -3, -14, 11, -13, 21, 4],\n [22, 5, -23, 13, -14, -7, 18, -26, -27, 26]... | 451 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, -23, 13, -6, -4, 7, -6, -14, -2, 2],\n [-23, -30, -2, 16, -11, 10, -2, 18, 0, -3],\n [13, -2, 17, -8, -4, -10, 18, 16, -5, -4],\n [-6, 16, -8, -25, -16, -2, 14, -24, -29, 2],\n [-4, -11, -4, -16, 12, -2, -17, 2, -5, 19],\n [7, 10, -10, -2, -2, 11, 4, 8, -15, 1... | 658 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -1, -29, 22, 29, -2, 28, 5, -30, 13],\n [0, -28, 9, 12, -30, 1, -23, 7, 14, -18],\n [0, 0, 16, 12, 26, -28, 22, -25, -16, -8],\n [0, 0, 0, -16, -18, -26, -20, 9, 10, 25],\n [0, 0, 0, 0, -17, 2, -25, -1, -2, -19],\n [0, 0, 0, 0, 0, 29, 15, 3, -2, 21],\... | 832 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 20, -6, -1, -19, -12, -22, -17, -22, 19],\n [-12, 21, -16, 28, 15, 6, 12, 21, 25, 27],\n [11, -30, -17, 24, -3, -14, 15, 8, -19, -19],\n [-24, 26, 25, -4, -16, -5, -9, -7, 13, 12],\... | 468 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -2, 2, 14, 4, 13, -17, 4, -5, 20],\n [-2, -30, 28, -2, -3, -12, -4, -21, -12, -5],\n [2, 28, 20, -19, -3, 6, -13, -4, 11, -18],\n [14, -2, -19, -28, 16, -16, 1, -1, 6, 6],\n [4, -3, -3, 16, -30, 27, -2, -8, -4, 2],\n [13, -12, 6, -16, 27, 9, -22, -1, 2... | 970 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-19, 10, 20, -24, -5, 10, 22, -14, -8, -13],\n [0, -4, -9, -16, 26, 2, 23, -7, 24, 21],\n [0, 0, 22, -9, 11, 19, 19, -24, 21, -10],\n [0, 0, 0, -4, 5, 2, -14, -27, -7, -15],\n [0, 0, 0... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 22, -2, -6, -6, 0, -11, 13, 12, 9],\n [22, 29, -6, -11, 0, 7, -10, 18, -2, 6],\n [-2, -6, -3, -12, -6, 22, 12, 18, 4, 12],\n [-6, -11, -12, -14, -30, 2, -2, 10, -23, -2],\n [-6, 0, -6, ... | 19 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, -24, 16, 14, 13, -2, 7, -30, -16, -23],\n [0, 16, 25, -27, 7, 17, -7, 20, 5, -14],\n [0, 0, 5, -13, 14, 11, -17, 7, -3, -23],\n [0, 0, 0, 20, -20, 17, -4, 12, -18, -8],\n [0, 0, 0... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, -4, 18, -1, -18, 17, 0, -17, 19, -19],\n [0, 9, 23, 6, -30, 14, 3, -27, -8, 23],\n [0, 0, -12, -11, 6, 12, 25, 26, 27, -24],\n [0, 0, 0, -13, -19, -29, 20, -26, -22, 4],\n [0, 0, ... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, 8, -12, 14, 0, -25, 12, -10, -4, 10],\n [8, -2, 2, -2, -18, 5, -18, -10, -24, 17],\n [-12, 2, -15, 10, -20, 16, 26, 13, 8, 22],\n [14, -2, 10, 3, -18, -22, 2, 18, -4, -2],\n [0, -... | 894 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, -3, 21, -1, -19, 25, 12, 16, 21, -3],\n [-11, -10, -22, 25, 10, 23, -13, -4, 9, 19],\n [-26, -2, -7, 27, 6, -8, 12, -2, -30, 0],\n [-30, -20, -24, -29, -30, -20, 5, -10, 21, -30],\n [1,... | 624 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, 9, -29, -28, -11, -17, -28, -12, 3, 5],\n [-9, -19, -17, -5, 1, -9, -28, -11, 21, 29],\n [-7, 9, -3, -22, 25, -14, -11, 14, 25, 23],\n [0, 28, -14, 12, 29, 9, -26, 18, -19, -9],\n [-21, 11, -3, -23, -7, 17, -20, -6, -9, 7],\n [-5, 30, 28, 9, -2, 30, -6, 1, -3,... | 93 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -23, -19, -17, 9, -18, -19, -6, -13, 29],\n [0, -5, -16, -9, -23, 25, 9, -29, -12, -8],\n [0, 0, -13, 12, 10, 21, -28, -28, -11, 9],\n [0, 0, 0, -20, -27, -20, 7, 3, 0, 26],\n [0, 0, 0, 0, -20, 23, -27, -5, 4, 10],\n [0, 0, 0, 0, 0, -19, -2, -2, 24, 9... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, -9, -20, -4, -2, -12, -16, 22, -4, 29],\n [-9, 28, -5, 8, -14, -8, 0, 16, 2, -4],\n [-20, -5, 18, 0, -1, 12, 0, 16, -6, 18],\n [-4, 8, 0, 29, 0, -3, 6, -11, -16, 6],\n [-2, -14, -1, 0, -15, 16, -6, 4, 4, 19],\n [-12, -8, 12, -3, 16, 26, 4, 10, -5, 2],\n... | 406 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, 29, 12, 9, 3, 1, -17, -9, 0, 27],\n [-23, -17, -4, -21, -12, 4, -16, 29, 8, -25],\n [-20, 30, 15, 5, 8, -23, -6, -27, -10, 16],\n [23, 11, 1, 21, -10, 1, -16, -30, 12, 27],\n [22, -26, -11, -11, 2, -30, -22, -28, 13, 27],\n [18, -12, -6, -6, -27, -11,... | 539 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, -17, 2, -8, -20, 27, 26, 18, 18, 16],\n [0, -30, 27, 12, -20, -22, -3, -30, -5, -21],\n [0, 0, 17, 17, -2, -5, -6, 19, 0, -17],\n [0, 0, 0, -10, 20, -20, 1, 15, 0, -1],\n [0, 0, 0, 0, -18, -14, 14, -20, -10, -3],\n [0, 0, 0, 0, 0, 24, 7, 10, 8, -24],\n [0, 0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 21, -12, 7, 9, -22, 11, -16, -10, 2],\n [0, -5, 26, 6, 18, -15, -8, 24, -28, 12],\n [0, 0, -16, 9, 8, 28, -3, -8, -11, 21],\n [0, 0, 0, 12, 16, -17, 22, 28, 4, 0],\n [0, 0, 0, 0, -28, -14, -4, 18, 30, -21],\n [0, 0, 0, 0, 0, 17, 1, -27, -23, -1],\n [0, ... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[26, 15, -16, -13, -3, 6, -16, 9, 29, 20],\n [15, -12, -6, -8, 2, -3, -25, -1, 20, -5],\n [-16, -6, -21, 17, -12, 1, -8, 16, 1, -7],\n [-13, -8, 17, -25, -16, -1, -20, 0, -14, 18],\n [-3, 2, -12, -16, -29, -22, -14, 26, -12, -1],\n [6, -3, 1, -1, -22, -22,... | 209 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, 21, 5, -11, 0, 2, -14, 25, 2, 7],\n [0, 14, -7, 3, 17, 22, 4, 22, 20, -6],\n [0, 0, 7, 1, 8, 27, 13, -19, -20, -9],\n [0, 0, 0, 23, 21, 12, 15, -11, -11, 2],\n [0, 0, 0, 0, -2, 1, 11, 15, -5, 18],\n [0, 0, 0, 0, 0, -10, 4, 0, 28, -18],\n [0, 0, 0, 0, 0... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, -4, 20, 6, 3, 2, 19, -2, -8, 6],\n [-4, 22, 0, 11, 0, 10, -12, 15, -19, -6],\n [20, 0, 27, 28, -8, -6, -1, -8, -2, 1],\n [6, 11, 28, -6, 16, 17, -26, -10, 10, 6],\n [3, 0, -8, 16, 28, 11... | 84 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[23, -10, 4, 5, 25, 21, 3, -15, 14, 22],\n [0, 9, -3, 2, 12, 15, -15, 4, -6, -27],\n [0, 0, -16, 14, -16, -5, -11, -8, 27, -23],\n [0, 0, 0, 14, -27, -19, -8, 1, -4, -1],\n [0, 0, 0, 0, 15, 3... | 240 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, 0, 14, 10, -2, -16, 24, 18, -8, 14],\n [0, -21, -6, 2, -14, -20, -14, 10, -16, 14],\n [14, -6, -27, 10, 14, 9, -8, -17, -21, -7],\n [10, 2, 10, -9, -10, -28, 24, 4, -4, 14],\n [-2, -14, 14, -10, 28, -4, 0, -12, -17, 0],\n [-16, -20, 9, -28, -4, 27, 4, -6, -20,... | 456 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, 20, -11, -3, -19, 16, -19, 26, 13, 25],\n [0, 26, -12, 30, -30, -1, 14, -28, -8, -26],\n [0, 0, 4, 4, 16, 20, 10, 22, -11, -12],\n [0, 0, 0, 30, -18, 13, -22, 5, 4, 12],\n [0, 0, 0, 0, -29, 3, -13, -8, -30, -6],\n [0, 0, 0, 0, 0, 2, -9, -25, -2, -22],\n [0, 0, ... | 760 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, 8, 25, -16, 26, 3, -15, -21, 19, -29],\n [28, -11, 26, -7, -10, 24, -27, -9, -9, 0],\n [-3, -4, -30, -15, -3, -30, 11, 20, 2, 9],\n [-24, -1, -10, 10, 26, 22, 0, 11, -4, 5],\n [27, -1, ... | 421 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, -5, 4, -15, 28, -26, -21, -4, 14, -15],\n [27, 30, 16, 18, -5, 22, 29, 17, -28, 9],\n [-1, 24, -19, 13, -13, 22, -10, -13, 24, -18],\n [-17, -6, -14, 16, -30, -11, -26, -23, -14, 7],\n [-16, 30, -26, 4, 23, -19, -19, 22, 11, 17],\n [-6, 4, 9, 28, 25,... | 254 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, -8, -28, 22, 24, -18, 12, 14, 7, 26],\n [0, -7, 12, 18, 8, 2, 24, 8, 7, -18],\n [0, 0, -23, -6, -2, -8, 16, -23, 13, 24],\n [0, 0, 0, 21, -19, 21, -3, -22, -20, 20],\n [0, 0, 0, 0, 1, 7,... | 944 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, -19, 12, 20, -21, 26, -15, 17, -1, -27],\n [0, -5, 11, -25, -2, 8, 25, -29, 23, 11],\n [0, 0, -28, 30, -11, 2, 4, -29, -23, 5],\n [0, 0, 0, -21, 7, 5, -16, 19, -27, 6],\n [0, 0, 0, 0, 2, -5, -25, 17, 17, 20],\n [0, 0, 0, 0, 0, 14, -17, -9, -21, -11],\n [0, 0, ... | 0 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.