messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[17, 8, -13, -8, -4, -16, -30, -33, -33, -13, -3, 0],\n [0, -24, 26, -10, 1, 12, 8, -25, 33, -12, -17, 34],\n [0, 0, 21, -25, 27, -19, -21, 34, 26, -4, 4, -25],\n [0, 0, 0, 12, 19, -20, 0, 4, -16, -34, -34, 33],\n [0, 0, 0, 0, -27, 4, 4, -34, -30, -17, -17, -3],\n ... | 504 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, -28, 8, 0, -8, -2, -6, 6, 4, -10, 6, 0],\n [-28, -25, 6, 16, -22, -10, 6, 28, 8, -12, 28, -20],\n [8, 6, -23, -5, 32, -14, 29, -8, 6, -11, 1, 22],\n [0, 16, -5, -21, -12, 10, 20, -30, -20, -2, -27, 4],\n [-8, -22, 32, -12, -9, 2, 8, 0, -15, -25, -24, 22],\n [... | 232 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 21, -4, -18, 10, -15, -8, 4, 5, 10, -19, 2],\n [21, -13, 15, 0, 2, 16, 19, 23, -13, -8, 4, 17],\n [-4, 15, 6, -14, 12, 20, -18, 18, -20, 4, 0, -4],\n [-18, 0, -14, 6, 8, 4, -2, -16, 2, -2, 1, -16],\n [10, 2, 12, 8, -26, -7, 12, 10, 16, 13, 6, -10],\n [... | 832 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[23, 10, -14, -22, -2, -8, 9, 18, 28, 14, 18, -2],\n [10, -32, -8, 16, 16, -26, 8, -21, 22, -20, 22, -4],\n [-14, -8, -13, 12, 0, -12, 24, 6, 25, -14, -2, 2],\n [-22, 16, 12, 27, -12, 21, -8,... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, -9, -29, -28, 6, -10, 25, -16, 15, -34, -6, -19],\n [31, 7, 13, -32, -7, -2, -27, 22, -12, 20, 25, 27],\n [6, -19, 35, 30, 12, 34, -3, 2, -35, 19, 19, -26],\n [19, -12, -8, 15, 10... | 712 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -10, 6, 18, 9, -9, 15, -8, -28, -5, -31, -25],\n [-10, 24, 10, -24, -23, -28, 6, 29, -27, -32, 19, 35],\n [19, 21, 21, 3, -8, -10, 34, -14, 9, -21, 29, -18],\n [-25, -32, -2, 12, 12, 4, 23, 12, 5, -14, 28, 13],\n [19, -21, -32, -28, 24, -33, -29, -19, -26, -10... | 264 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 32, -15, -16, -19, 10, -2, -26, -16, 28, 26, 3],\n [26, -24, -12, 17, -3, 33, 10, -29, 7, -29, 25, -4],\n [23, -6, -32, -2, -27, 24, -12, 19, -7, 18, 15, -14],\n [-16, 1, 15, 14, 30, 26, 8, -13, -25, 18, 19, 25],\n [16, -14, -33, 29, 22, 7, 25, 17, -3... | 728 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, 26, 7, 14, 17, 2, -19, -9, 1, -29, 2, -7],\n [0, -21, -20, -25, -3, -16, -7, -20, -19, 21, 1, -18],\n [0, 0, -25, 21, -17, 34, 17, -26, -35, -35, 11, -9],\n [0, 0, 0, 10, -28, 26,... | 990 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 25, 33, -2, 18, -7, 5, 34, 22, -6, -3, 27],\n [0, 13, -24, -14, -12, 20, -11, 30, -35, -2, -31, -19],\n [0, 0, -30, 3, 23, -16, 28, -12, 5, 31, 2, 2],\n [0, 0, 0, 26, 16, 35, -12,... | 980 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, -31, -14, -22, 34, -19, -35, -18, -25, -24, -2, -28],\n [6, -22, 15, -27, 2, -7, -7, -8, -30, -34, 17, -5],\n [1, 20, 4, -24, 19, 21, 9, -11, 6, -18, -6, -18],\n [-29, -6, -31, 33, -3, ... | 544 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-32, -15, -32, -32, -3, -22, -27, 28, 26, -29, -31, -23],\n [0, -24, -29, -2, -15, 24, -26, 2, 22, 20, 8, 28],\n [0, 0, 18, 10, 4, -12, 22, -5, 14, -26, -22, -17],\n [0, 0, 0, -14, 18, 34, 7... | 16 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 16, -26, 23, -21, -33, -27, -28, -28, -20, -25, -13],\n [20, 20, -14, -18, 3, -33, -28, -31, -31, -17, 25, 10],\n [-18, 25, 24, -34, 14, 27, 35, 13, 35, -18, -20, 10],\n [-11, -28, 28, -... | 720 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, 23, -34, -34, -31, -14, -3, 33, -8, 22, -22, 14],\n [5, -21, 32, 7, 19, 13, -18, -11, -24, 19, 11, 31],\n [35, 28, 24, 7, 1, -4, 16, 17, 20, -34, 12, -20],\n [0, -26, -18, -34, 4, 6, -11, -35, -20, 6, 1, 1],\n [35, -30, -14, 10, 4, 18, 10, 0, 5, 31, -13, 7],\n... | 648 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, 35, -14, 29, 22, -9, -24, 24, -3, 30, -27, -10],\n [9, 19, 16, -27, -29, 21, 21, 1, -6, 15, 11, 18],\n [-13, 22, 20, -5, 32, 26, 24, 1, -2, -35, 5, 8],\n [-1, -9, -15, -13, 5, 14, -14, 4, -34, 6, -6, 8],\n [-26, 27, -12, -30, 9, -18, -20, 4, -20, 34, ... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -2, -6, -4, -25, -6, -35, -30, 20, 31, 22, -17],\n [25, 26, 35, -1, 7, -31, 10, -1, 0, -32, 25, -34],\n [-1, 10, -32, 24, 12, -32, 34, 15, -19, -32, 21, -29],\n [12, -3, 32, 20, -11, -1, 3, -13, -25, -14, 11, -24],\n [-1, -2, -35, -4, -32, -12, 35, -14, -1, -7... | 864 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, -29, -11, 12, -1, -18, -25, -7, -20, -30, -21, -7],\n [0, 30, -23, 35, 21, 15, -8, -13, -35, 35, -1, 0],\n [0, 0, 26, -24, -22, 26, -14, -7, 23, -21, -15, 35],\n [0, 0, 0, -10, 33, 0, 19, 33, -17, -2, 34, 27],\n [0, 0, 0, 0, -14, 22, -11, -17, 18, 35,... | 998 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-35, -16, 22, 29, 1, -12, -31, -25, -1, -7, -13, -12],\n [29, 8, -10, 20, -16, 30, -3, 11, 9, 9, 34, -24],\n [20, 31, -14, 2, 7, -30, -25, -19, -23, 12, 2, 2],\n [13, 29, 14, -23, -33, -8, 34, 10, 10, -27, 26, 9],\n [-3, -32, -23, 16, 2, 29, 10, -35, -4, ... | 88 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[19, -22, -35, 21, -22, 15, 22, -27, 12, -9, -8, 20],\n [-2, -34, -12, 13, 4, -28, 33, 31, -6, 16, 3, 35],\n [-23, -34, 30, 30, -21, 23, -18, 33, -6, -31, 4, -15],\n [28, -28, -30, 32, 22, 16, -6, 21, -9, 8, 33, -25],\n [7, -1, -25, 18, 14, 25, -31, -10, -... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[27, -30, -8, 15, 17, 8, 29, -24, -8, 32, -6, -1],\n [0, -6, 27, -28, -3, 7, 7, 9, 18, 29, -29, 0],\n [0, 0, -24, -4, 13, 2, 20, 29, -10, 21, -22, 20],\n [0, 0, 0, 31, -24, 13, -35, -17, 30, 22, -32, -28],\n [0, 0, 0, 0, 14, 31, -7, 6, -18, -15, 31, 26],\n ... | 938 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -19, -5, 23, 11, -30, -4, -5, -18, -27, -33, 35],\n [-10, -23, -2, 7, -3, 33, 0, 32, 11, 25, 9, 12],\n [5, 2, 32, -25, -20, 29, 35, 31, 35, -35, 35, -32],\n [1, -22, -11, -32, 30, 7, -10, -21, -30, 1, 7, 6],\n [-23, -20, 6, 2, 30, 29, -31, -6, 7, -4, 31... | 208 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-35, -14, -3, 2, -6, 18, -20, 12, 6, 17, -10, 12],\n [-14, 21, 19, -2, -30, -19, 28, 8, -11, -34, -28, 22],\n [-3, 19, 15, 10, 12, -4, 12, -20, 21, 6, -19, -6],\n [2, -2, 10, 26, 10, 7... | 576 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, -23, -11, 31, 32, 11, 19, 7, -34, 9, 12, 26],\n [2, 11, -32, 24, 13, -2, 8, 20, 6, 14, 33, -3],\n [31, 6, 8, 32, 21, 0, 5, 20, -33, 20, 20, 29],\n [3, 4, 3, -9, 31, 29, -33, -33, 1, -16,... | 272 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-24, 32, 27, -10, 24, 25, -21, -31, -4, -14, -14, -24],\n [0, -20, 29, 15, -4, 17, -33, -23, 22, 9, -12, 15],\n [0, 0, -31, 14, 13, -18, -3, 22, -5, -2, -5, -9],\n [0, 0, 0, 32, -13, 16, 21, 15, 27, -8, -12, -14],\n [0, 0, 0, 0, -15, 31, 3, 26, 22, 26, 34,... | 980 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, 14, 4, -7, -11, 12, 12, 17, -29, -14, -30, -22],\n [14, -15, -2, 28, 8, -9, 15, -8, 22, 2, 9, 24],\n [4, -2, -6, 9, -6, 20, 2, -16, -14, 13, 9, -9],\n [-7, 28, 9, 1, -15, 12, -6, -6, 7, -10, 8, -19],\n [-11, 8, -6, -15, 16, 2, -20, 18, 4, 6, -3, 24],\... | 744 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 14, -10, 2, -12, 0, -8, 2, -5, 3, 2, 14],\n [14, -2, -23, 12, 4, 4, -6, 4, -2, 4, 2, -18],\n [-10, -23, -11, 22, -6, 24, -25, 0, -8, -4, 12, -18],\n [2, 12, 22, 13, -14, 23, 28, -6, -13, 10, -5, 0],\n [-12, 4, -6, -14, 1, 2, -21, 22, -12, 16, -22, 2],\... | 184 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, 8, 30, 1, 11, 25, -9, 13, 24, 34, 35, 9],\n [0, -23, 2, -19, 2, -35, -35, -6, -29, -16, 8, -23],\n [0, 0, -31, 16, -11, -24, 20, -35, 13, 31, -14, -5],\n [0, 0, 0, -35, 6, -28, -1, -1, ... | 130 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, 26, -10, -22, -27, -29, 11, 22, -16, 20, 7, 24],\n [0, 30, -16, -23, -11, 0, -33, 11, -24, 24, -8, -22],\n [0, 0, 30, 24, -16, -25, -32, 16, 11, 31, -25, 14],\n [0, 0, 0, -22, 11, -18, ... | 258 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 11, 20, -22, 35, 31, -25, -34, -19, 6, 22, -13],\n [-3, 9, 13, -16, 17, -19, -28, -29, 1, 13, 32, -6],\n [16, 18, 16, 6, -9, -33, -20, 35, 6, 20, -3, -7],\n [26, 30, -28, 7, 11, -24, 4, -31, 20, 21, -35, -3],\n [24, -2, -3, 20, -15, 32, -32, 13, -25, ... | 288 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, 15, -26, 29, -8, -18, 25, -27, 24, -10, 7, -3],\n [0, -20, -4, -25, 26, -10, -35, -24, 21, 14, -17, -31],\n [0, 0, 30, -32, -6, -13, 22, -15, 18, 23, 33, -29],\n [0, 0, 0, 31, 31, 5, -4, 0, -33, 34, 34, 20],\n [0, 0, 0, 0, 31, 11, -12, 4, -12, 21, -12, 33],\n ... | 12 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 25, -20, 29, 25, 28, -6, -26, 34, -7, -14, -22],\n [-30, 8, 27, 14, 25, -16, 30, -21, 2, -31, -21, -25],\n [15, -3, 0, 5, -1, 21, 28, -3, -3, -18, -25, 26],\n [11, 25, 20, -12, 29... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-22, 23, 17, -7, -32, -4, 13, 2, -7, -35, -33, 6],\n [-4, -13, -10, 2, -14, -24, 27, -20, 22, -21, -31, 15],\n [5, -32, 11, -14, -5, -7, 5, 25, 17, -20, 19, -19],\n [-18, 1, 24, -7, -1... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[2, -32, -26, 18, -6, -26, 18, 5, -29, 20, -16, -30],\n [0, -20, -13, -33, -8, -17, 22, 25, 4, -33, -3, -28],\n [0, 0, -8, -7, -16, 16, 0, -15, 1, -18, -18, 33],\n [0, 0, 0, -15, -20, 0, -2, -16, -13, -3, -29, 15],\n [0, 0, 0, 0, 28, -22, 14, -27, 8, -15, 2... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-35, 30, -2, 23, 29, -14, 17, -5, 30, -33, 10, 8],\n [5, -23, -26, 26, -30, 33, 14, 3, 7, 6, 4, -31],\n [31, 25, -21, -26, -35, 27, -20, -8, 1, 18, -25, 1],\n [2, -2, -14, 19, -32, 8, -31, 20, -17, -21, 15, -11],\n [17, 31, 8, 2, 25, 33, 10, 24, -4, -13, -... | 896 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-32, -33, -17, -7, 29, -15, 19, -25, 0, 3, 14, -8],\n [-16, 3, -11, 10, -4, 27, 8, 5, -27, 2, 1, 6],\n [-13, -20, 3, 18, -9, 10, 10, -16, 9, -4, -4, 13],\n [11, 4, -31, 26, -27, 35, -18, 10, -35, -30, -15, -1],\n [22, 13, -22, 32, -30, -16, -13, -22, 15, -34, 13, ... | 960 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, 8, -14, 26, -4, 2, 29, -32, -2, -7, -19, 2],\n [8, -21, 11, 23, -16, -14, 15, 12, 1, 0, 14, 10],\n [-14, 11, 26, 22, -13, -26, 12, 6, -6, -4, -4, -2],\n [26, 23, 22, -13, -28, 13, ... | 504 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, -13, 6, -20, -15, 27, 34, -22, 11, 6, -8, 33],\n [-10, 16, 20, -28, -33, 30, -35, -35, 6, 14, 15, 12],\n [31, 3, 34, 1, 0, -1, 30, -5, 4, -3, 30, -9],\n [14, 35, -10, -14, 30, -20, -11, -20, 0, -22, 4, -27],\n [4, 35, 9, -35, -7, -28, 22, -17, 11, -9, 1... | 832 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-22, 21, 34, 11, -17, 26, -26, 20, -25, -29, 17, 32],\n [0, 24, 15, -27, 13, 0, -27, -4, 21, 21, 8, -17],\n [0, 0, 28, -23, -26, 12, -16, -30, 8, 12, 28, -7],\n [0, 0, 0, -8, 11, -21, 22, -1... | 12 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[28, 21, -15, 30, -25, -19, 25, -7, -15, 33, 15, -8],\n [-21, -32, 2, 31, -7, -25, 15, 0, 21, -31, -20, -11],\n [-6, 15, -33, 1, 35, -33, 22, -15, -18, 22, -26, -16],\n [4, -7, 0, -4, 34, -17, 32, 34, -24, 1, 10, -5],\n [-19, -32, -21, 9, -24, -30, -14, 26... | 152 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 11, 25, -29, 18, -16, -20, -34, -26, 7, -8, -26],\n [-14, -2, -20, 19, 28, 17, 6, -6, 24, -34, -2, 6],\n [-15, -2, -4, -6, 28, -17, -6, 22, 5, -9, -20, -11],\n [25, 31, -25, -4, 1, 16, -... | 592 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -27, 28, 13, 32, -3, -30, -7, -17, -9, -27, -18],\n [-23, 35, -4, -10, 16, -14, -8, 19, -8, -7, 29, -5],\n [-11, 27, 17, -18, 1, 25, 15, -31, 19, 8, -26, -11],\n [25, 19, -26, -16, ... | 128 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, 17, -22, 12, -8, -28, 24, 4, 0, -22, -4, 5],\n [17, 6, -6, -19, -13, 0, 4, 20, -12, 4, -6, 6],\n [-22, -6, 32, 2, 34, -22, 20, -1, -4, -1, 1, 0],\n [12, -19, 2, -17, 8, 27, -12, 24, 5, 12, 6, 4],\n [-8, -13, 34, 8, -34, -12, -14, -18, 8, 14, 0, 13],\n [... | 288 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[28, 7, 4, -8, -7, 0, -9, -4, 0, 6, 2, -14],\n [7, -21, -1, -6, 22, 12, -30, -9, 0, -30, -3, -22],\n [4, -1, 22, 0, -14, 18, -32, -6, 4, -10, -3, 14],\n [-8, -6, 0, -31, 21, -5, 16, -14... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -6, 5, 0, 24, -24, 16, -2, -21, 0, 20, 0],\n [-6, 15, 15, -25, 21, 4, 21, 0, 3, -10, 16, -8],\n [5, 15, -20, 6, -5, -26, -2, 27, 12, 3, -28, -18],\n [0, -25, 6, 31, 30, 13, -27, 15, 18, ... | 864 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 0, -12, -35, 10, -12, -15, -7, 28, -26, -23, -25],\n [22, -30, 15, -26, 28, -1, -19, -33, -6, -9, 9, -32],\n [-3, 7, -5, -17, -25, 1, 25, -34, 14, -9, 14, -12],\n [-8, 20, -2, -3, -13, -28, -3, 28, -17, -24, -32, 27],\n [8, -15, -24, 35, -18, 3, -3, 3... | 24 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -25, 21, -9, 17, -29, 12, 1, 5, -10, 27, -33],\n [21, 18, 34, 22, -16, 15, 4, -19, 5, 29, -23, 28],\n [16, -24, 28, 8, -24, -10, 6, -8, 8, 12, 14, -25],\n [0, -7, 4, -19, 1, 13, 17, 33, -13, 18, -26, 11],\n [-9, -4, 20, 15, 10, -1, -5, -1, 26, 0, 24, ... | 168 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[20, -11, -20, -14, 0, 6, -7, 18, -7, 20, 16, 4],\n [-11, 1, 22, 14, 5, -4, 18, -20, -22, -10, 10, 1],\n [-20, 22, -2, 6, -5, -19, 0, 0, 2, -12, 18, 14],\n [-14, 14, 6, -20, -18, 18, 23, 13, 15, -16, -8, -20],\n [0, 5, -5, -18, 35, 24, 8, 2, -8, 17, -6, -27... | 448 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, 10, 12, 12, 7, -16, 22, -3, -17, 2, 10, 7],\n [10, -4, -3, 13, 0, 2, 8, 20, -14, -6, -2, 28],\n [12, -3, -29, 8, -14, -20, -15, 2, -15, 18, -34, -18],\n [12, 13, 8, -18, 8, 24, 2, -4, 16, 22, -30, 6],\n [7, 0, -14, 8, -14, -4, -19, -30, 15, 16, -12, 1... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 28, 13, 35, -12, -9, 7, -26, -23, 25, -14, 18],\n [0, 14, -15, 8, 34, -29, -1, 28, -6, 22, 22, -15],\n [0, 0, 34, 11, -11, -4, -9, 10, -24, -23, 33, -24],\n [0, 0, 0, 31, 7, 12, -10, 29, 15, -27, -4, 33],\n [0, 0, 0, 0, 17, 20, 8, 26, 24, 3, -29, 16]... | 705 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, -18, 21, -28, 6, -28, 24, 22, -12, 8, 27, 15],\n [0, 4, -3, -15, -3, 19, 29, 21, 34, -22, -11, 3],\n [0, 0, 20, -19, -5, 16, -8, -29, -18, -30, 30, -16],\n [0, 0, 0, 7, -7, -27, -22, 9, -21, 10, 9, 28],\n [0, 0, 0, 0, -35, 8, 4, -32, 6, -3, -34, -26],... | 3 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 23, -11, -3, -20, 13, -33, -7, -22, 33, 25, -7],\n [-15, -30, -12, -8, 21, 21, -14, -12, -18, -8, 21, -35],\n [-10, -3, 19, -18, 33, -26, -22, 3, 0, 15, 14, -21],\n [23, -3, 32, 18... | 480 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[21, 8, 17, -18, 22, 8, -14, 15, 8, 12, 3, -16],\n [8, -14, 3, -2, -11, 20, 6, 10, 18, -26, -19, 10],\n [17, 3, -28, 7, 19, -26, 6, -23, 30, 3, -18, 3],\n [-18, -2, 7, -23, 21, 5, 3, -1... | 456 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, -7, -29, -11, -28, -33, -5, 32, -4, -29, -22, -2],\n [33, -24, 1, -9, -2, 6, 28, 12, -19, -15, -21, -10],\n [-3, -24, -14, 9, -29, 27, -8, 4, 25, 14, -26, -11],\n [-24, -35, 2, 1, 23, -24, 1, -24, 20, 3, 20, 20],\n [-4, -3, -12, -5, 26, -34, 16, -35, 1... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, -3, -16, -30, -35, -27, 19, -4, -18, 1, 27, -17],\n [0, 20, -24, 29, 34, -28, -31, -8, 24, 35, -19, 15],\n [0, 0, -5, 23, 35, 15, 31, -18, -9, -4, 10, 0],\n [0, 0, 0, 31, -5, -31, 11, 6, -35, 20, -25, 5],\n [0, 0, 0, 0, -21, 21, -34, -7, 23, 5, 5, -25... | 66 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -35, -11, -6, 6, -21, 30, -21, -26, 21, -10, -2],\n [-28, 22, 29, -21, 32, 31, 6, -34, -17, -17, 10, 13],\n [22, 1, 30, -11, -2, 3, -24, 12, 24, -22, -10, -35],\n [-26, -1, 17, 9, -28, -34, -16, 5, -7, 27, -34, 4],\n [5, 8, 15, 17, 32, -23, -8, 4, -15, 26, -3... | 336 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, -31, -31, -2, -35, 26, -26, 2, -28, -11, 14, 25],\n [1, -5, 6, -12, 31, 26, -30, 35, 15, -21, -2, 28],\n [10, -11, 2, 26, 30, -13, -3, 26, -9, 25, -7, 11],\n [2, 25, -15, -13, 22, 16, -1... | 736 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 0, -10, 5, -25, 27, -9, 3, -15, -30, -25, 10],\n [0, 20, 15, -28, 7, -2, 11, -20, -1, -26, 19, 12],\n [0, 0, 24, 6, -22, -3, 12, 18, 16, 1, -28, -5],\n [0, 0, 0, -33, -21, -15, 22, 3, -9, -22, 0, 10],\n [0, 0, 0, 0, -8, 32, 12, -17, -20, 34, 15, 23],\n... | 996 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[35, -30, 0, -4, 23, 18, 34, -2, 7, 12, 14, -7],\n [0, 29, -28, -10, -14, -20, -19, 29, 17, 24, -5, -14],\n [0, 0, 30, -22, 14, -11, -12, -24, -33, 9, -26, 4],\n [0, 0, 0, -30, 2, -6, -27, -3, -13, -15, 29, -1],\n [0, 0, 0, 0, 12, 13, -8, 18, 4, 14, -31, 2... | 956 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 5, 16, 16, 0, 14, -15, 11, -16, -4, -30, -2],\n [0, -2, -20, 8, -1, 23, 22, -9, 5, -6, -3, 12],\n [9, 18, -4, 0, -29, -11, -25, -33, 33, 19, 8, 8],\n [12, -33, 19, 31, 7, 22, 21, -20, 24... | 384 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-24, -2, -2, 10, -6, -18, -34, 19, 0, 30, 9, -11],\n [0, 23, 29, -4, -26, 17, -28, 28, -3, -20, -1, -27],\n [0, 0, 20, 7, 0, 35, -9, -28, -15, -23, -34, -32],\n [0, 0, 0, -19, -30, 7, 31, 30... | 998 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 15, -14, 5, -22, -26, -14, 12, 34, -17, 6, -1],\n [12, -11, -32, -27, 0, -15, 32, 8, 19, -30, 26, 15],\n [3, 25, -25, -18, 22, -13, -8, 23, -9, 24, 35, 19],\n [15, 33, -8, 34, 24, -15, 4... | 784 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -9, -21, -34, -21, 8, 8, -25, 31, -2, 16, 32],\n [0, 12, -21, -25, 6, 13, -21, -25, 13, -26, -20, -25],\n [0, 0, 13, -15, -23, -12, 14, 14, 32, 35, -18, 27],\n [0, 0, 0, -19, -28, -33, 3... | 872 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-22, -30, -22, -17, -35, 26, -7, 4, -29, 8, 34, -23],\n [0, -14, -31, -27, 34, 17, 33, -5, 10, -33, -18, 19],\n [0, 0, -22, -18, 25, 32, 4, 25, 8, 2, 5, -33],\n [0, 0, 0, 19, 0, 31, 0,... | 968 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 4, 10, -8, -18, -16, -16, 10, -5, -6, -12, 4],\n [4, -16, -13, 2, 16, -27, 23, 7, -26, 6, 6, -10],\n [10, -13, -9, 2, -4, -2, 8, -4, -13, -10, 26, 6],\n [-8, 2, 2, 9, -12, 0, 13, -1, 4, 2... | 256 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, -7, -15, -11, 17, 20, 25, -4, -28, -34, -9, 0],\n [0, 5, -23, -30, 23, -16, -17, -24, -33, -31, 33, 7],\n [0, 0, -29, -1, 17, -19, 35, -16, -2, -6, 4, -23],\n [0, 0, 0, -18, -10, -... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-32, -25, 22, 3, -22, -4, -9, 10, -34, 27, 9, 2],\n [0, 3, 34, 21, -15, 33, 25, -10, 9, -21, 32, 9],\n [0, 0, -31, -33, 19, 25, -31, 32, -16, 0, 34, 20],\n [0, 0, 0, -31, -7, 32, 22, 22, 16, -17, -18, 34],\n [0, 0, 0, 0, -34, 22, 1, 12, 8, 8, -9, 1],\n [0... | 854 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[30, 9, -35, -17, 19, 11, -13, 2, -20, -22, 32, -30],\n [-32, 33, -1, -10, -27, 13, 33, -11, 9, -6, 24, -4],\n [-5, 14, 25, -19, 15, -21, -24, -25, 31, -11, 2, 13],\n [-14, 31, -12, 26, -21, 9, 5, -30, 14, 6, 30, 24],\n [-28, -27, 21, -9, 4, -8, -11, -26, ... | 592 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, 14, 30, -3, 13, -19, 5, -17, -25, 24, -15, 8],\n [-13, -23, 10, 17, 21, 19, -25, -21, 4, -21, -23, -7],\n [1, 31, 23, 12, 22, 6, -26, -20, 13, 18, 26, 30],\n [7, 11, -17, -19, -10, 25, -7, 26, 35, -28, 16, 25],\n [4, -11, -26, 16, -7, 22, 15, 34, -28, -... | 888 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, -33, -31, -21, -3, 5, -2, -19, 5, 22, -29, 8],\n [0, 8, 1, -21, -33, 30, 24, 27, -19, -6, 1, 8],\n [0, 0, 24, 34, -23, 20, -12, -33, 28, -7, -20, -32],\n [0, 0, 0, 21, 31, 20, 28, 31, -21, 34, -15, -9],\n [0, 0, 0, 0, 30, -32, 30, -32, 9, -35, 21, 31... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-34, 22, -3, 29, 27, -5, 32, -23, -9, 21, -22, 16],\n [0, -27, 3, -29, 21, 19, -29, -20, 11, 27, -3, -15],\n [0, 0, -20, 9, 35, -4, 7, -6, -26, -21, -23, 22],\n [0, 0, 0, 34, 9, -4, 17, -5, 8, 29, -11, -26],\n [0, 0, 0, 0, 27, -21, -28, 2, -8, -34, -33, -... | 998 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, 0, -18, 9, 8, -12, 0, 26, -6, -24, -27, -12],\n [0, 11, -23, 5, 4, -20, -5, -12, -4, -17, -4, 3],\n [-18, -23, -35, -9, 24, 10, -14, 16, 12, 0, -6, -12],\n [9, 5, -9, 35, 18, 20, 20, -16, 28, -13, 22, 2],\n [8, 4, 24, 18, 34, -6, -14, 10, -10, -11, -6, -7],\n [... | 376 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -27, 21, -30, 12, 23, 31, -14, -15, -21, 13, 14],\n [11, 33, 5, -14, 26, -26, -17, 7, 29, -9, -28, 18],\n [-8, 8, -12, 29, -28, -34, -18, 25, 6, 4, -32, 28],\n [3, -26, -2, -9, 9, -26, 1, -33, -21, 26, -27, 31],\n [-32, -7, -7, -5, 24, -14, 30, 8, -1, -24, -14... | 536 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-23, -25, 21, 33, 29, -4, -23, -19, 30, -15, 34, 18],\n [-21, -21, -27, 35, -15, -27, 30, 35, -34, 20, -24, 20],\n [15, 34, 23, 35, -25, -33, -2, -17, -29, -25, 27, 31],\n [20, 7, 20, 9, 24, -3, -8, 21, 16, -32, -19, -1],\n [6, 24, -10, 12, 28, -19, -29, 29, 16, 5... | 512 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 26, -26, -18, 18, 2, 4, -2, -28, 6, 14, -18],\n [26, -11, 2, -2, -2, -32, 2, 8, 4, -24, -14, 0],\n [-26, 2, -18, -22, -6, 21, 10, -8, 28, 8, -2, 18],\n [-18, -2, -22, 29, 14, 0, -24... | 760 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[34, 10, -4, 0, -6, -33, 1, -32, 32, 7, -29, 7],\n [0, 30, 10, 33, -33, -1, -21, -9, 33, 17, 31, 3],\n [0, 0, -32, -20, -29, -9, 31, -33, -4, 12, 32, -26],\n [0, 0, 0, 7, -14, 28, -6, 5, 3, -11, -25, -14],\n [0, 0, 0, 0, -34, -33, 8, 0, 1, -13, 17, 26],\n [0, 0, 0,... | 599 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, 22, -10, -20, -3, 7, -3, -6, 10, 26, 10, 10],\n [22, -30, -14, 14, 15, 20, -10, -2, -28, -8, 8, -4],\n [-10, -14, 2, 2, 12, -16, 24, 20, -22, -16, 15, -16],\n [-20, 14, 2, 10, 0, -4, -3, 19, -4, 2, -22, 6],\n [-3, 15, 12, 0, 31, 12, 14, 8, -8, 6, -22, -4],\n [... | 792 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, -30, -6, 9, -7, 16, -7, 32, -25, -16, 21, 8],\n [-25, -3, 23, 32, 13, -21, -33, 31, -25, 19, -28, 1],\n [-8, -16, -14, 22, 10, -13, -2, 14, 11, 13, -33, -6],\n [-13, 29, -18, 16, 31, -11... | 848 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-21, -28, -4, -24, 30, -3, -10, 7, -2, -7, 4, -5],\n [-28, -1, -18, -20, -22, 8, -8, -18, -4, -22, 5, 9],\n [-4, -18, -26, 8, 14, 1, -17, 22, 18, -6, 20, -6],\n [-24, -20, 8, 24, 34, 1, -2, 7, 15, -12, -14, 8],\n [30, -22, 14, 34, 19, 24, 3, -10, -6, 24, ... | 280 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, -33, 30, 30, -35, 29, -5, -18, 10, -10, -12, 5],\n [0, -28, 32, 10, 24, 10, -35, 26, 10, -17, -33, 22],\n [0, 0, 18, -18, 33, 23, 8, 13, 20, -16, -12, 4],\n [0, 0, 0, 23, -22, 7, -25, -5... | 482 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 8, -5, -1, -1, -17, -3, 23, 11, 35, 32, -34],\n [-11, -2, 17, -11, -14, 1, -35, -4, 12, -29, 31, 30],\n [21, 0, -23, 8, 26, 32, 11, -6, -1, 15, 17, -26],\n [7, -35, -34, -31, -4, 3, -8, 35, 15, -34, 12, -9],\n [12, 28, 34, 13, -27, -3, -13, 34, 24, -... | 416 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, 9, -1, 26, 21, 10, 33, -6, 14, -21, 0, 3],\n [24, -9, 18, -34, 34, -32, 11, 12, 21, 29, 22, 15],\n [11, 34, -2, 1, 19, 8, 32, 7, -26, 30, -20, -1],\n [4, 26, -2, 6, -32, 27, -13, -25, -13, 25, 33, 16],\n [25, -31, -19, -2, -20, -32, 16, -16, 12, 15, 9... | 240 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, 14, 16, -8, -11, -18, -8, -20, -2, 30, 6, 0],\n [14, 15, -10, 26, -10, -4, -2, -6, -22, 18, 8, 29],\n [16, -10, 34, -8, -30, -3, -16, 22, -24, -11, 16, 20],\n [-8, 26, -8, 16, -12,... | 704 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, 17, -14, -6, 10, 2, 6, 5, 4, 26, 2, 12],\n [17, -9, -13, 22, 23, -11, -9, 2, 16, -25, -23, 8],\n [-14, -13, 9, -2, 10, 0, -10, -4, -4, 23, 2, 0],\n [-6, 22, -2, -8, 15, -23, -10, 18, -4,... | 776 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-33, -4, 26, -6, 13, -24, 14, -18, 11, 27, 8, -15],\n [12, 30, -4, 9, 15, 17, -8, 26, -7, 25, -28, 10],\n [-5, 30, 26, -18, 19, 1, -6, -15, -23, -17, -32, -15],\n [-12, 9, -23, -14, 13, 12, -19, -16, -4, 14, 26, -21],\n [6, -25, 1, 32, 2, 25, 25, -21, -8, 31, -15,... | 816 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 18, -14, 8, 4, 14, -14, 6, -4, 14, 10, -11],\n [18, 31, 18, 4, -5, -16, 32, 11, 7, 0, 2, 16],\n [-14, 18, -31, 10, 28, -12, 6, -20, 22, 20, 8, -4],\n [8, 4, 10, 32, 18, 0, 10, 18, -... | 536 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, -2, -11, -6, -10, -24, 13, -2, 0, 19, -2, -10],\n [-2, 28, -26, -14, 0, -4, -12, 2, 12, 8, 2, 8],\n [-11, -26, 18, 18, 2, -8, 18, -16, -10, -20, -15, -2],\n [-6, -14, 18, -31, 10, -10, 10, 16, 24, 19, -16, 0],\n [-10, 0, 2, 10, 33, 14, -19, 2, 20, 4,... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-13, -2, 1, -31, 6, -11, 10, -9, -29, 24, -24, -29],\n [0, -28, -32, -8, 10, 25, 4, -2, -9, -10, -25, -35],\n [0, 0, 24, 32, -34, 18, -27, 33, -26, -33, -5, -32],\n [0, 0, 0, -23, 25, 9, 32, -12, 24, 24, -31, -4],\n [0, 0, 0, 0, 35, 6, -16, -25, -34, -5, -26, 23],... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-18, -12, 31, -18, 3, 25, 8, -8, -6, 15, -3, 28],\n [0, -8, -22, 33, 18, 13, -29, 8, 24, -35, 15, 2],\n [0, 0, 23, 26, 3, 27, -4, -15, -13, -21, -35, -7],\n [0, 0, 0, -26, 10, 11, 19, -18, 35, -26, 23, -2],\n [0, 0, 0, 0, -21, -1, 17, -35, -22, -14, 26, 0... | 363 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 23, -28, -12, 1, 7, -28, 28, 31, 4, 10, -18],\n [-28, 23, 0, -15, -33, -20, 19, -14, -14, -24, 24, -27],\n [32, -12, 12, 9, -30, 28, -21, -6, -9, -9, 22, -26],\n [-35, -32, 23, 5, 7, -22, -7, 1, -14, 0, 22, -21],\n [25, -29, 6, -11, 28, 8, -30, -32, 30... | 392 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, 0, 2, 24, 0, -22, 0, -3, 12, 0, 14, 21],\n [0, 33, 9, 1, 3, 14, 6, 16, -8, -6, 2, -26],\n [2, 9, 9, -18, 12, 10, -12, 2, -22, -6, -20, -20],\n [24, 1, -18, -27, 21, 12, -18, -6, 6, 16, ... | 848 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, 11, 32, -19, -9, 15, 23, 23, -12, 18, -23, -22],\n [34, 34, 16, -15, -6, 18, -17, 23, 11, 30, -35, 16],\n [-15, 24, 12, -24, 19, -33, 30, -30, -14, 31, -15, 1],\n [-3, -35, 29, 35, 1, 4, 27, 16, -4, -9, 6, 16],\n [-7, 10, 30, 10, -11, 29, 21, -8, -18, 27, -18,... | 648 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-28, -25, -16, 8, 23, -19, -24, -15, 31, -32, 18, -9],\n [32, -2, -35, 23, 16, 9, -18, 14, -2, 18, 18, 16],\n [-6, -32, 17, -12, 14, 9, 25, -29, 9, -2, -26, -25],\n [9, 13, 4, 15, 35, -8, 26... | 384 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, -19, -28, 19, 5, -28, -23, 19, -16, 33, -11, -20],\n [0, 23, -1, -26, -17, -23, 33, -2, 7, 31, -26, -4],\n [0, 0, 2, -25, -21, -28, 13, 30, -6, 8, 18, -5],\n [0, 0, 0, 25, -32, 14, 17, -8, 2, -32, -20, 6],\n [0, 0, 0, 0, 32, -2, -25, -1, -8, -25, 2, ... | 202 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-30, -21, 2, 5, 20, -18, -1, 9, -7, 33, -4, -31],\n [8, 14, -15, -14, 25, 3, -31, -3, 35, -12, 3, -21],\n [34, -31, 12, -16, -15, -24, 30, -6, -29, 22, -18, 24],\n [-18, 12, -2, -30, 9, 24, 35, -12, 33, -19, 26, -3],\n [26, -30, -33, 18, -25, 10, -32, -29, -10, -1... | 560 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, -8, -24, -8, -8, 22, -17, -4, 29, -5, -1, -6],\n [-8, -3, 16, -26, 12, -22, -9, 11, 8, 5, -14, -10],\n [-24, 16, -23, -15, -3, -16, 2, 15, 0, -12, -19, 16],\n [-8, -26, -15, -20, 2, 2, 12, 4, 8, 2, 8, 29],\n [-8, 12, -3, 2, -30, -17, 14, 2, 1, -8, 5, ... | 488 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, 1, 25, -10, -14, 4, 23, 14, 3, -20, -26, 9],\n [-2, 27, 32, -25, -11, 33, -5, 21, 17, 30, 20, 30],\n [-14, 17, 21, -3, -31, -23, -19, 7, -24, 35, 20, 33],\n [-7, -11, -25, 5, -25, 2, 26, -12, 8, -17, 1, -31],\n [-32, -35, -19, 7, 14, -6, 28, 0, -35, 33, -7, 30... | 456 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, -6, -18, -6, 24, 19, -26, -23, 5, -34, -31, -3],\n [29, 1, 25, 22, -24, 5, -8, 0, 6, 18, 18, 2],\n [35, 33, 22, -27, 12, -18, -24, -9, 0, 13, -27, -2],\n [14, 14, -14, -31, -21, -18, -21, 30, -15, 25, -32, 12],\n [-35, -29, 25, 17, -1, -15, 24, -31, -33, 23, ... | 352 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 13, 27, -29, -2, -31, 21, 6, 9, 35, 4, -27],\n [0, 24, -16, -19, 3, 27, -14, 35, 9, -8, -30, 30],\n [0, 0, -29, 30, -14, 7, 13, 35, -10, 18, 3, -24],\n [0, 0, 0, 17, 19, -17, -10, 1, -23, -11, 22, 11],\n [0, 0, 0, 0, -19, -30, 22, 12, -26, -22, -9, 32]... | 378 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, -4, 28, 10, -14, -14, 18, -8, -5, -11, 20, 6],\n [-4, -14, 14, -28, 6, -10, 6, -10, -19, 9, -9, -18],\n [28, 14, 4, 0, -2, 4, -4, -17, 2, -26, -22, 8],\n [10, -28, 0, -19, -4, -3, 5, -7... | 232 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[31, -13, -26, -31, -34, -11, 24, 31, 17, -19, 5, -3],\n [-31, 34, -30, -23, -33, -22, 31, 0, 10, -35, -16, -17],\n [33, 4, 24, -8, -10, -9, -25, -8, 34, 9, 7, -21],\n [-35, -28, -12, 3, 25, 14, -1, 12, 8, 34, -26, 7],\n [-35, -22, -25, -10, 3, 32, 25, 23, ... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -21, 0, 4, 22, -8, -16, 14, -2, -14, -20, 6],\n [-21, 12, -15, 8, 14, 10, 9, -10, -4, -24, 21, -10],\n [0, -15, -13, -27, -2, 20, 6, -24, 11, 6, -18, 22],\n [4, 8, -27, -7, 4, 1, -12, -7... | 688 | MATH |
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