messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Determine the value of det(A) where A =\n[[14, -25, -8, 31, -22, 21, -12, -4, 26, 28, 29, 22],\n [0, -19, -24, -30, 21, 21, -15, -17, 2, -14, 27, -9],\n [0, 0, -27, 30, 21, 31, 2, -3, -34, -29, -25, -4],\n [0, 0, 0, 25, -24, -1, 0, 31, 32, -20, -29, -17],\n [0, 0, 0, 0, 22, 25, -2, -17, 9, 15, 16,... | 36 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 33, 14, -28, -26, -20, 32, 1, 21, 6, 23, -19],\n [18, 20, 11, -8, 4, -15, -25, -10, 5, 30, 5, 4],\n [23, -34, -27, 4, -14, 11, -35, 21, -29, -25, 17, 34],\n [-27, -4, 11, 23, 24, 8, -12, -4, -28, 9, -17, -15],\n [-24, 7, 18, -3, 30, 18, 11, 15, 12, 32, 35, 33... | 448 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-35, -35, -26, 35, 23, 3, -26, -23, -16, 19, -16, -19],\n [0, 29, 31, 4, -14, 33, -3, -4, 30, 14, -3, 31],\n [0, 0, 7, 25, 1, -17, -35, -18, 9, -18, 24, -26],\n [0, 0, 0, -31, 32, 13, ... | 936 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, -19, 8, 28, -20, 3, -12, -17, 0, -17, -19, -30],\n [0, 21, -18, -7, -2, -16, 9, -9, 0, 5, -9, -8],\n [0, 0, -22, 7, 21, 13, 9, 32, -31, 20, 29, -24],\n [0, 0, 0, 5, 16, -20, 2, 7, 23, -15, -19, 5],\n [0, 0, 0, 0, 30, 31, -27, -11, 24, 29, 6, -31],\n [... | 990 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 23, 17, 33, 12, 32, 35, 26, 15, -11, 15, 26],\n [32, 23, -23, 34, -31, 6, -23, -11, -11, 11, 19, -20],\n [-29, 2, -4, 22, 26, -32, -23, 1, 23, 2, 16, -34],\n [19, 18, -24, -35, 25... | 96 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-31, 26, -28, 4, 31, 26, -30, 24, 3, -28, 2, 8],\n [-15, 2, 16, 13, -6, 4, 24, 24, 0, 14, -31, 35],\n [-16, 33, 16, 35, 2, -19, -26, -13, 21, -16, 31, 16],\n [-28, -20, -22, 6, -27, 30, -31, -17, -29, 22, 29, 33],\n [-22, -16, 3, -15, 20, 26, -13, -33, 14... | 736 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 24, -10, 21, -4, 11, 20, -12, -8, -20, 0, 11],\n [-15, 20, -27, 9, 34, 6, -9, 8, -30, -17, -32, -13],\n [-34, -34, 3, 2, 21, 31, -30, 22, -35, -10, -23, -11],\n [15, -30, -28, 23, 11, 2, 11, -15, -17, 1, -35, -24],\n [17, 28, 22, -13, -20, -25, 20, 22,... | 464 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 0, 13, -25, 28, -19, 24, 25, 13, 2, -3, -20],\n [8, -26, -15, -23, -16, -17, -35, -13, 34, 15, 30, 33],\n [34, -35, 12, -20, -25, -1, -24, 26, 30, -24, 20, -25],\n [20, 31, -22, 12, -13, -33, 13, 12, -33, 18, -10, -14],\n [-3, -12, -15, -26, 7, 12, 13, ... | 312 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, -26, -4, -10, 2, 9, 21, -2, 20, 8, -20, -1],\n [-26, -33, 2, 11, 32, 22, -20, -16, 2, 10, -3, 0],\n [-4, 2, 19, 14, -10, -6, 0, -16, 0, 14, 6, -8],\n [-10, 11, 14, -21, -21, 2, 10, ... | 608 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -20, 21, 14, -2, -12, -12, 10, 19, 13, -23, -7],\n [-20, 21, -12, -6, -16, 11, -16, 0, 23, 12, 16, -9],\n [21, -12, -19, 8, -2, 7, -12, -6, 20, 12, 22, 18],\n [14, -6, 8, -19, -7, 18, 20, 8, -28, 4, -21, 8],\n [-2, -16, -2, -7, 4, 16, -8, 6, 16, 3, -1... | 112 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, -13, 8, 6, -1, 7, -14, -9, 22, 6, 1, 2],\n [-13, -6, -9, -16, -11, -16, -16, -6, -8, 22, -24, 10],\n [8, -9, -20, -4, -11, -8, 2, -32, 2, 25, 1, 2],\n [6, -16, -4, -32, -8, -20, 24, 10, -26, -8, 8, -1],\n [-1, -11, -11, -8, -11, 6, -26, -4, 0, 12, 6, -... | 432 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 10, 6, -21, -23, -5, 3, -13, 3, 14, -26, -15],\n [28, 5, 18, 8, -12, 2, 13, 35, -28, 0, 1, 29],\n [6, 12, -17, 0, 15, -8, 12, 19, 6, 12, -15, -6],\n [-10, 1, 12, -2, -20, 8, -29, -14, 14, -13, 7, 8],\n [-4, -13, 25, 29, 25, 20, 24, -29, -12, 10, 9, -... | 960 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 8, -26, -18, 31, -16, 2, -16, 13, 18, 17, 20],\n [-24, -16, -32, -22, -15, 16, -30, -16, 10, -27, -6, 27],\n [-2, -33, 9, 18, 12, 32, -4, -16, 32, 30, 20, 35],\n [12, 31, 17, -18, 13, 23, 30, -21, -2, 29, 8, 8],\n [-9, -18, 29, 15, -5, 21, 11, 15, -17, -14, -3... | 560 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 20, 3, 15, -4, 4, -16, -26, 32, -5, 0, 26],\n [20, 17, 12, -1, 14, -20, -4, -10, -2, 9, -6, 24],\n [3, 12, -6, -14, 13, -4, -3, 12, -10, 1, -2, 10],\n [15, -1, -14, 7, 4, 14, 6, 10,... | 568 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -21, 17, 0, -14, -18, -24, -12, 0, 2, -2, 8],\n [-21, -10, 8, -16, 25, 14, 10, 22, 3, -8, -11, 2],\n [17, 8, -4, -2, 4, -8, 8, 6, -10, 32, 3, -8],\n [0, -16, -2, 15, 34, -7, -6, 2, 27, 20, -20, -24],\n [-14, 25, 4, 34, 5, -7, 18, -13, 4, -22, -12, 2],... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 28, 16, -28, -14, -4, 12, -18, 11, -4, 6, -17],\n [28, 23, 22, -15, -28, 15, 4, -4, -18, 10, -1, -26],\n [16, 22, 17, 6, -8, -15, -2, 12, 28, 1, -10, -13],\n [-28, -15, 6, -1, -2, 29, 3, 10, 7, -4, -5, 20],\n [-14, -28, -8, -2, -7, 5, 8, -33, 14, 2, 1... | 568 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, 12, 4, -10, -6, 8, -1, 17, -26, 20, 5, -14],\n [12, -25, 14, 8, 24, -8, 4, -24, -24, 11, 20, 11],\n [4, 14, -15, 6, 11, -4, 14, -2, 9, -7, 20, -14],\n [-10, 8, 6, 26, 26, -22, 0, -22, 27, 2, -19, -4],\n [-6, 24, 11, 26, 4, 26, -24, -22, 12, -16, 0, 22]... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[21, -33, -6, -31, 16, 2, -5, 16, 1, 4, -35, -14],\n [0, 15, -25, 17, -33, -30, 31, 25, 32, -2, -33, 7],\n [0, 0, -30, -28, 17, 1, 7, 30, -33, 14, 24, 23],\n [0, 0, 0, -30, 26, 23, 23, 6, 16, -13, -4, -21],\n [0, 0, 0, 0, -34, 14, -23, -12, 22, 0, -9, 15],... | 7 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, -16, 8, -13, -10, -6, -8, -12, -12, 12, 0, -17],\n [-16, 0, -1, 10, -12, 18, -2, 0, 25, 0, -14, -11],\n [8, -1, -18, 1, 27, -1, 9, 12, 10, 6, 20, 5],\n [-13, 10, 1, -25, 5, -17, 2, ... | 984 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, 4, -5, 14, 7, 25, -22, 0, 7, -34, -6, 5],\n [13, 1, -12, 11, 3, -30, -27, 16, 30, 2, -18, 10],\n [-2, 33, 23, 26, -26, 28, 12, -24, 24, -4, 18, 14],\n [27, -3, -13, -9, -4, -31, -18, 28, -3, 19, 18, 17],\n [-13, -19, 31, 35, -33, 22, -4, -33, 20, -32,... | 112 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 25, -26, 35, -25, 30, 35, 6, 1, 33, -22, 7],\n [-15, -31, 3, 4, -26, 21, 31, 33, -9, 1, -17, 35],\n [-2, -24, -1, 14, -14, 17, 33, 18, 4, 0, -11, 26],\n [2, 23, 5, 29, 17, -16, -29, -25, 14, -35, -3, -3],\n [21, 5, -9, 8, -20, -17, 27, 23, 32, 33, -32, -7],\n ... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 25, -26, -32, -25, 32, -32, -35, -15, -24, -22, -28],\n [-8, -13, -19, -2, 4, -9, -10, 15, -4, 14, 16, -30],\n [-26, -6, -33, -16, 10, 16, -8, -35, -35, 10, -17, 35],\n [35, -18, 28, -34, 5, -16, -1, 16, 10, 24, -15, 33],\n [-20, -20, -32, 4, 27, -35,... | 904 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-34, 12, -20, 16, 11, -22, 10, 1, 30, 12, -2, 14],\n [12, 20, -11, 18, -17, -28, -2, -12, 20, -20, 23, -12],\n [-20, -11, -31, 10, -2, -14, -20, 3, 12, -6, 0, 24],\n [16, 18, 10, -13, 20, -22, 10, -3, 19, 26, 28, -2],\n [11, -17, -2, 20, 1, -2, -4, 17, 1,... | 712 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, -21, 6, 15, 17, 19, 31, 35, -18, 26, 7, -29],\n [22, -6, 19, -29, 26, 18, -34, 35, -12, 7, 24, 7],\n [12, -24, -12, -17, 17, -22, -10, -11, 18, 32, 17, -15],\n [-17, -10, -13, -2, -12, -3, -27, -35, 17, 18, -30, 35],\n [28, 30, 33, -20, 5, 15, -19, 18... | 352 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, -31, 14, 29, -28, -25, 24, 17, -31, 21, 30, 31],\n [12, 3, 14, 2, -22, 2, -18, 8, -11, -6, 13, 32],\n [10, 29, 14, -7, -7, 14, 18, 35, 22, -21, 22, 3],\n [31, -34, 15, 14, 7, -28, 23, 11, 17, 18, -23, -4],\n [-2, 19, 4, 34, -5, 4, -35, -26, 7, 12, 12, 28],\n ... | 472 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 25, -27, -7, -3, 28, 4, 18, -30, 2, 30, 3],\n [-13, -3, 7, -4, 17, -32, -5, -14, 6, 19, 21, 1],\n [14, 27, 5, 31, -22, 30, 0, -29, 5, 8, 31, -5],\n [-7, -5, -25, -23, -18, -26, -12... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -13, 26, -2, 0, 22, -8, 12, 20, -8, -31, 5],\n [-13, 8, -14, 0, -20, 7, 24, 26, 7, 2, 11, 4],\n [26, -14, -5, -26, -4, 3, -17, 2, 12, -12, 16, 24],\n [-2, 0, -26, -30, 0, 29, 26, -15, 10, -9, -14, 7],\n [0, -20, -4, 0, 15, 18, -10, -8, -20, 10, -15, -6... | 320 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 13, -11, 18, 24, -27, 24, 10, 0, -2, -25, 13],\n [0, 14, 17, 21, -24, 14, 14, 15, 21, 12, 32, 3],\n [0, 0, -23, -27, 1, 32, -28, 17, 22, -22, 10, -16],\n [0, 0, 0, -33, -24, -3, 3... | 988 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, 4, -7, -30, -2, 11, -1, -9, 17, 4, 16, -20],\n [4, -31, -8, 16, 2, -4, -15, 30, 12, 8, -6, 14],\n [-7, -8, 15, 16, -6, 13, -4, -4, 10, 18, -22, -22],\n [-30, 16, 16, 25, 7, 14, 12, -5, 24... | 120 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -35, 10, -12, -26, -33, -31, 31, 30, 25, -18, -23],\n [34, -16, 12, -4, 9, -8, 20, 3, 6, -24, -25, -23],\n [-30, 13, 15, 19, 27, -5, -4, 0, 3, -16, 20, -28],\n [-12, -23, -29, 9, 21, -11, 3, -9, 12, 2, 24, -4],\n [2, -12, -23, -35, 2, 27, -3, -31, 29,... | 232 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, -20, -26, 12, -2, 0, -17, 17, -2, -6, 14, 16],\n [-20, 34, 14, -8, 10, -10, -19, 8, -24, -6, -6, -5],\n [-26, 14, 15, 30, 4, 0, -4, -10, -4, -4, -6, -2],\n [12, -8, 30, 28, 10, 26, 21, -1... | 408 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-35, 26, 7, 22, -1, -2, -5, 19, 8, 4, 16, -7],\n [26, -24, -2, -6, 24, 20, 20, 18, 8, -29, 9, 8],\n [7, -2, 35, 10, -28, -1, -8, 1, 5, 30, -18, -2],\n [22, -6, 10, 0, 10, 30, -15, 10, 0, 28,... | 376 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, -17, 16, 16, -4, 1, -34, 16, 22, 2, -14, 30],\n [-17, 23, 0, 23, 10, -5, -18, -18, -16, -12, -4, 3],\n [16, 0, -33, -25, -27, -15, 4, -6, -20, 8, 0, 1],\n [16, 23, -25, -2, -6, 12, 6, -9, -6, 16, -19, 10],\n [-4, 10, -27, -6, -32, -6, 2, -4, -16, 23, ... | 320 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-23, 2, -8, -4, 0, -10, 26, 4, -4, 5, -20, 16],\n [2, 35, 18, -16, 0, 18, -14, -7, -26, 14, -13, -8],\n [-8, 18, -30, -10, -6, 22, 10, 0, 4, 0, -2, -2],\n [-4, -16, -10, -8, -6, 16, 18... | 448 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, 12, -14, 4, 2, 18, 3, -2, -29, 15, 4, 12],\n [12, -20, -25, -10, 4, -21, 25, -29, -18, 18, 4, 30],\n [-14, -25, 6, 27, -5, -28, 2, 23, 2, 3, -2, 3],\n [4, -10, 27, -29, 10, -14, 20, 14,... | 720 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[30, 22, 15, 28, 27, -12, 5, 6, -15, 16, -13, -8],\n [22, 22, 16, 2, -1, 8, -6, -6, 6, 22, -14, 14],\n [15, 16, -2, -2, -4, 4, -21, -2, 4, -16, 8, 11],\n [28, 2, -2, -20, -8, 7, 23, 29,... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -25, 3, 2, -5, -11, 4, -24, -31, 7, 5, 4],\n [-14, 28, 31, -4, 21, -21, -4, 8, 21, -11, -14, -20],\n [-13, -14, -34, 26, 6, 32, 34, -2, 16, 16, 29, -32],\n [-5, -33, 24, -7, -18, -1, 35, -8, 28, 32, 3, 21],\n [35, -2, -9, -6, 31, -1, 28, -26, -27, 19, -20, -1]... | 456 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, -25, -35, 6, -26, 5, 34, 33, -6, 4, -4, 31],\n [-19, -34, -20, -19, 0, -14, -16, -25, -8, -25, 9, 14],\n [-24, 23, 34, -8, -7, -9, -18, -5, 10, -9, -28, 15],\n [16, 8, 17, -17, 18, -19, 3, -5, -13, -2, 2, -16],\n [-34, -26, -1, 24, -4, -22, 15, -23, 31, -33, 1... | 632 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 18, -10, 14, -35, 9, 20, -35, 8, 23, 8, -17],\n [14, -25, -23, -4, -30, 35, -4, 22, 6, 32, 20, 24],\n [-21, -4, -32, 25, -32, 8, 22, 25, -18, 25, -29, 10],\n [33, 9, 19, 8, 23, -2, ... | 152 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-34, -23, -14, 33, 12, -4, -6, 15, 35, -23, 35, -31],\n [-13, -15, -6, -3, 22, 23, -16, 16, -9, -32, -9, 13],\n [-12, 15, -3, 34, -5, 26, 5, -22, -32, 8, 34, -29],\n [26, -30, 10, -14, -12, 26, 18, 6, 7, 3, 25, 18],\n [-9, 19, 21, 35, 8, 3, 15, -14, 12, 19, 6, 16]... | 584 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, 16, 26, 18, 14, 14, -12, 14, -2, -4, 14, 22],\n [16, 5, -34, 6, 7, -4, 4, -6, 4, -21, -10, -10],\n [26, -34, 16, 2, 8, 12, 24, 2, -12, 20, -34, -8],\n [18, 6, 2, -30, -1, 16, 27, -... | 544 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 1, -21, -35, 4, -17, -6, 6, 20, 10, -14, -7],\n [0, -34, -30, -22, 5, -13, 8, -26, 4, -34, -11, 8],\n [0, 0, 22, 13, -12, 23, -2, 15, 33, -16, -15, -19],\n [0, 0, 0, -17, -21, -34, -8, 4, -23, 9, 21, -2],\n [0, 0, 0, 0, 27, -29, 28, -24, 2, -35, 35, -2... | 176 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, -12, -10, 14, 9, 4, -6, -11, 8, -6, -11, -3],\n [-12, -17, 16, -8, 6, 33, 3, 10, 11, -4, 26, -2],\n [-10, 16, 0, -8, 8, -2, 12, -2, 0, 9, -12, 13],\n [14, -8, -8, 24, 19, -4, 16, -3, 4, 24, -16, -16],\n [9, 6, 8, 19, -10, -14, -8, 26, 2, 4, 22, 10],\n ... | 240 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, -2, 11, 34, -16, 24, 28, 18, -21, 13, -12, -1],\n [24, 30, 33, -22, 17, -19, -28, 18, -33, -13, 23, 30],\n [-33, -17, 31, -11, -33, -31, -33, -33, 28, -33, 1, -9],\n [-8, 30, -25, 1, 33... | 592 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-33, 18, -25, 8, -24, 4, 17, 19, -33, -22, 7, 22],\n [0, -34, -35, 33, -1, 21, 12, -1, 28, -8, 6, -21],\n [12, 35, -8, -29, 27, 27, 15, 7, -30, -22, -29, 16],\n [20, -34, -20, -9, -35, 18, 7, 16, -4, 26, -34, -9],\n [-23, 18, 9, -16, -16, 26, -27, 34, 25, 8, 24, -... | 808 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[30, 17, 28, 16, 24, -8, -30, -8, -32, -6, 33, 15],\n [-31, -10, -17, 26, -10, 12, -5, -4, -13, 19, 31, 14],\n [16, 15, 35, -10, -20, 32, -20, 9, -23, 29, 30, 31],\n [22, -11, 10, 21, 2... | 392 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[23, -14, -12, 16, 7, 16, -33, -24, 27, 18, -13, 31],\n [0, 12, -22, -3, -22, 20, -6, 28, -12, 8, 5, 2],\n [0, 0, 20, 24, -24, 21, -18, 28, -25, -3, -16, -2],\n [0, 0, 0, -28, -1, 1, -2, -11, -14, -5, -3, -21],\n [0, 0, 0, 0, 26, -12, -35, 0, -4, 13, 1, -2... | 363 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, -19, 24, -5, 32, -2, -23, 20, -35, -10, -25, 15],\n [0, 22, 8, -30, 34, 32, 24, 16, 13, -25, 32, 20],\n [0, 0, -23, -31, -6, -22, -13, 4, 22, 9, 3, -35],\n [0, 0, 0, 30, -28, 22, 29, 18, -4, 7, -34, -27],\n [0, 0, 0, 0, -32, 10, 25, 4, 4, -27, 11, -29],... | 240 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[31, 20, -23, -24, -2, 25, 20, -8, -33, 34, -23, -34],\n [33, 26, -10, -13, -3, -22, -33, -12, -12, -3, -17, 27],\n [-17, 22, -23, -4, -11, 30, -6, 13, -3, 15, -29, 27],\n [31, 25, -31, -16, 25, 8, 34, -32, -18, -24, -2, 17],\n [-4, 0, -15, -21, 13, -33, -9, 8, -15... | 824 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -25, -11, 3, -32, 23, 18, -16, 12, -7, -26, -16],\n [30, 19, 19, -4, 22, -31, -28, -16, -12, 25, -31, -1],\n [-34, 27, -15, -22, -15, 25, -27, 12, 23, -4, 9, 23],\n [24, -21, -1, 35, -1, 31, 3, -29, 1, 34, -33, 29],\n [-34, 4, -16, 24, -6, -8, 33, -25, -32, 21... | 408 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, -27, -7, 7, 32, -32, -23, -33, -16, -21, -24, -31],\n [-11, 24, -10, 21, 4, 17, 12, 2, 19, -1, -15, 32],\n [-3, 11, -30, -33, -35, -21, -13, -20, 11, -32, -19, 14],\n [-33, 27, -27, -17... | 856 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 21, 35, 22, 11, -7, -6, 16, -19, 1, -26, -4],\n [-21, 21, -10, -7, 14, 0, 11, 24, 3, 34, 28, -15],\n [-3, 6, -29, 23, 22, -30, 24, 15, 10, 26, -10, -7],\n [17, 35, 27, -17, -14, 28, 4, 30, 29, 21, 31, -16],\n [-28, -14, 9, 19, 7, 20, 33, 15, 9, 31, -1... | 792 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, -22, 7, -34, 5, 8, -3, -25, -27, 29, -17, -25],\n [0, 12, -21, 11, -34, -25, 1, 22, 30, 35, 3, -24],\n [0, 0, -28, -20, 14, 33, -27, 18, -5, 33, 32, 29],\n [0, 0, 0, -11, -29, 14, -28, -30, 33, 24, -5, 6],\n [0, 0, 0, 0, 23, 6, -1, -22, -30, 32, -31, ... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, -30, 14, 6, -26, 20, 25, -12, -29, 24, -4, -5],\n [-30, -35, -27, -16, 4, -24, 20, -2, 13, 10, 28, -15],\n [14, -27, 33, -4, 17, -24, 3, 32, 8, -10, 8, 0],\n [6, -16, -4, 18, -28, -4, -... | 248 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, 31, 14, -9, -35, 27, 27, 35, 7, 17, -8, 10],\n [-35, 28, -5, 15, 14, 9, 2, 19, -19, 22, 10, -8],\n [1, 19, -8, -21, 2, 22, -20, 9, 20, -6, 17, -24],\n [26, -14, -22, 4, 24, 29, 32, -8, -19, 1, -30, 20],\n [-24, -3, 14, 3, -18, 6, 12, 14, -21, -20, -28,... | 888 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[35, -24, 15, -32, 5, 25, -4, -14, -8, 27, 24, -5],\n [0, 27, 33, -12, 27, -17, -24, 17, -21, -5, 23, -2],\n [0, 0, -34, 26, -2, 8, -18, 4, -23, 27, 35, -21],\n [0, 0, 0, -19, -12, 6, 30, -6, -3, -31, -12, -19],\n [0, 0, 0, 0, -26, -30, 7, -7, 2, -13, -9, ... | 75 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 31, -35, -14, -33, -25, 8, 28, -17, -30, 14, 2],\n [-27, -34, -18, -29, -33, -13, -30, -8, 19, 13, 33, 19],\n [12, 7, -25, 7, 8, -19, -9, 28, 17, -10, -24, -17],\n [26, -18, -2, -23, -5, -9, -6, -11, 20, -8, -9, 15],\n [-28, 28, -8, -28, -12, 5, 32, ... | 576 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-22, -12, -5, 27, -17, -31, 23, 6, 17, 35, 23, 23],\n [0, -2, -7, -28, -19, -11, -6, -3, -32, 2, -31, 5],\n [0, 0, -20, 0, 32, -16, -21, 19, 8, 34, -32, -14],\n [0, 0, 0, 16, -12, -1, ... | 402 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 18, -18, -18, -18, -10, 0, -33, -8, -24, 1, 25],\n [0, 24, -4, -6, 30, 1, -30, -6, 8, 30, -2, 9],\n [0, 0, 30, -7, -31, -11, -5, -4, 29, -17, -23, 28],\n [0, 0, 0, 23, -35, 22, 15... | 477 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-30, 17, -2, 14, -30, 7, 6, 23, 7, -1, 16, -23],\n [17, -10, -10, 1, 0, -13, -4, 5, -4, -2, 21, 22],\n [-2, -10, -18, 5, 22, -10, -1, -13, 16, 20, -14, -14],\n [14, 1, 5, -13, -8, 9, 30, 3, -10, -28, -18, -12],\n [-30, 0, 22, -8, 5, -22, 11, -3, 16, 0, -20... | 592 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -15, -3, -16, 22, 24, -9, 29, 29, -15, 32, 10],\n [-24, -24, 13, 6, -9, 32, 21, -2, 23, -34, -5, -31],\n [29, -2, 7, 29, -28, 32, 9, 31, 26, 28, 10, 18],\n [-30, 11, 25, 8, -19, -25, -2, 18, -4, 24, 30, 2],\n [-31, -19, 30, 6, -8, 27, -11, 28, -25, 3,... | 448 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, 4, 4, -27, -28, -2, 16, 28, -7, 10, 14, 20],\n [4, -6, -8, 5, 14, -6, -1, -14, -8, -8, 5, 14],\n [4, -8, -27, 21, 5, -4, 11, 25, 24, -20, 6, 18],\n [-27, 5, 21, 6, 16, 7, -4, 5, 5... | 8 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, 16, -6, -9, -27, 19, 14, -5, 15, -35, 18, 26],\n [0, 14, -29, 25, -23, 6, 2, -13, 33, 28, -5, 2],\n [0, 0, -24, -17, -14, 35, 16, 32, 20, -10, -28, 25],\n [0, 0, 0, 11, -24, -32, 9, 1, -30, -18, 2, -6],\n [0, 0, 0, 0, 25, -28, -4, 24, 28, -10, 30, -29... | 5 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, -6, 14, 10, 27, 20, -21, 27, 16, -30, 29, -21],\n [1, -24, -13, 24, -34, -32, -11, -12, 24, 21, -26, -6],\n [-9, -9, -5, 1, -28, 31, -4, -13, 13, -35, -23, -26],\n [-10, -26, -29, 14, 3... | 432 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, 12, 5, -31, -3, 33, 14, 2, -25, 19, -34, 18],\n [0, -6, 23, -2, -26, 31, -15, -7, 9, 17, 18, 33],\n [0, 0, -22, 33, 27, 10, 7, -5, 20, 25, -20, -29],\n [0, 0, 0, 34, -18, 12, -20, 24, -15, -9, 33, 17],\n [0, 0, 0, 0, -1, -9, 21, 28, 32, -20, -25, 34],\n [0, 0,... | 976 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-21, 2, -28, 15, -6, 29, -30, -4, -34, -15, 22, 32],\n [21, -25, -16, -14, 8, -2, 15, -21, -24, -6, -5, -21],\n [11, 23, -32, 9, -31, 34, -4, -15, 7, -18, -7, 27],\n [2, -7, -8, 22, 17, -7, 9, -25, -2, -25, 25, 9],\n [-7, -26, 33, 11, -9, -24, 11, 11, 5, ... | 224 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[29, 10, 31, -35, 13, 20, -14, -23, 11, 15, -15, -26],\n [0, -35, -35, -4, -1, -1, 24, -29, 34, 16, -19, 3],\n [0, 0, 30, 5, -20, -3, -31, 35, 3, -26, 10, 5],\n [0, 0, 0, 27, 9, -27, -2, 27, -33, -30, -22, -30],\n [0, 0, 0, 0, -21, 11, 5, -12, -15, -12, 31... | 448 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[34, 29, 33, 5, 25, 21, -6, -10, -3, 21, -15, -4],\n [0, -9, -20, 21, -15, 1, 11, -9, 28, 22, -31, 0],\n [0, 0, -23, 5, 15, 23, 33, 10, 3, 28, 5, -14],\n [0, 0, 0, -9, -11, -15, -16, -30, -23, -13, 23, 34],\n [0, 0, 0, 0, 31, 19, -2, -2, 5, -20, -15, 25],\... | 244 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -31, 30, -1, -27, -11, 0, 5, -4, 22, -19, -17],\n [28, -14, -11, 29, -14, -11, -20, -11, 2, -27, 24, 32],\n [-13, -8, -9, 0, -27, 8, 32, 8, -3, 32, -2, -19],\n [-13, 25, 27, 16, -31, 30, 18, -15, -1, 26, -21, 19],\n [-25, 13, 13, -21, -27, 32, -28, 35... | 608 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, 5, -4, 22, -4, 24, -14, -19, 16, -11, 0, 14],\n [5, 3, -1, 8, -9, -9, -16, -24, 25, 32, -1, 4],\n [-4, -1, -12, -3, -22, -6, 18, -20, 13, -6, -19, -11],\n [22, 8, -3, -32, 1, -14, -34, 1... | 184 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -13, 31, 5, -13, -4, 24, 7, 27, -14, 30, 0],\n [0, -30, -9, -11, -16, 34, -10, 17, -35, -3, 16, -34],\n [0, 0, 32, 16, -20, 26, 10, -19, -7, 24, -25, 10],\n [0, 0, 0, -7, 24, 10, -11, -1, 2, -24, -25, -25],\n [0, 0, 0, 0, 33, -16, 34, -22, 30, -27, 32... | 980 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[19, -2, 6, -3, 24, -2, -20, 7, 16, 13, -6, -18],\n [-2, 11, -12, -18, 19, 0, -8, -6, -6, 22, -22, -6],\n [6, -12, -17, 10, -16, 4, 16, 6, -4, -15, -6, -10],\n [-3, -18, 10, 8, 6, -18, -4, -26, -6, -9, 6, -4],\n [24, 19, -16, 6, 25, 0, -1, 9, 24, 0, -32, -7],\n [-2... | 280 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 11, -29, 2, 9, 11, 10, 27, 21, -8, 25, -7],\n [0, 26, -6, 17, 6, -20, -5, 10, -14, 3, 27, 23],\n [0, 0, 9, -31, -16, -13, 25, -27, -10, 22, 22, -26],\n [0, 0, 0, -34, -19, 25, 25, 23, 8,... | 962 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, 8, 6, 6, -2, 1, 5, -16, -33, -6, 3, 22],\n [8, -12, 8, -8, 2, -24, 12, 19, 2, -4, 0, 14],\n [6, 8, -3, -2, 18, 14, 14, -10, 16, -18, -10, 8],\n [6, -8, -2, 28, 16, 24, -2, -20, 10, -22, ... | 296 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -24, 13, 12, -17, -8, -9, 30, -18, 0, 0, -10],\n [-24, -11, 4, 4, -16, 2, -2, -17, -26, -3, -28, -7],\n [13, 4, 6, -31, -2, 25, -2, 24, -30, -11, 2, 22],\n [12, 4, -31, -28, -28, ... | 144 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[31, 14, -14, 33, -4, -9, -2, -29, -13, 25, 11, 33],\n [0, -21, -27, 14, 3, 24, -10, 35, 20, 1, 31, -33],\n [0, 0, 24, -9, -18, 2, -4, 15, -28, -23, -1, -14],\n [0, 0, 0, -19, -25, 21, 9, 2, ... | 388 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-21, -18, -4, 34, -1, -22, -27, -33, -18, -18, 33, 35],\n [0, 25, 18, -20, 18, -28, 27, -2, 10, 15, -18, 3],\n [0, 0, 13, -11, -11, -16, -11, 3, -7, -14, 7, -8],\n [0, 0, 0, 33, -26, 21, -9, -1, 20, -2, -18, 33],\n [0, 0, 0, 0, -28, -18, -8, -32, 8, 5, 19, 26],\n ... | 2 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 35, -27, -6, -30, 16, -26, 10, -35, -17, 33, 3],\n [13, 34, -11, -6, 33, 27, 30, -32, 35, -5, -15, 19],\n [3, -26, -32, -21, 15, 8, -12, 10, 31, -15, 13, 1],\n [20, -27, 4, -26, 5, -16, -... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, -3, -16, -19, 30, 3, -1, -12, 2, -26, -12, -2],\n [-3, -32, -12, -32, 16, -8, -6, -30, 7, 22, 30, -18],\n [-16, -12, 13, 12, -18, 0, -4, -6, 22, -23, -8, 29],\n [-19, -32, 12, 23, -21, 20, 28, 2, -8, -18, 9, 24],\n [30, 16, -18, -21, 23, -4, 5, -2, 19... | 432 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 0, -8, 13, -24, 4, 1, 12, -8, -12, 28, -1],\n [0, 4, -2, 2, -11, 22, 1, -16, 4, 14, -2, -11],\n [-8, -2, 33, 18, 8, -22, -26, 12, -1, -5, 2, 2],\n [13, 2, 18, 2, -1, 0, 10, -15, 4,... | 696 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[23, 23, -29, -6, -17, 34, 20, -18, 10, -26, 1, 33],\n [0, 33, -32, -10, -13, -17, -21, -12, 30, -8, 15, 17],\n [0, 0, 33, -20, 29, -1, 27, 21, 4, 32, 16, -29],\n [0, 0, 0, 19, -34, 31, 31, -16, -16, 7, 23, 32],\n [0, 0, 0, 0, 34, 33, 11, -19, -1, -4, -12, ... | 360 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, -22, 19, 23, -6, -8, -14, 11, 22, -35, 25, -11],\n [0, -15, 30, -18, 22, -34, 33, -8, -23, 21, 0, -26],\n [0, 0, -23, 24, 28, 3, 1, -8, 24, 15, -31, -10],\n [0, 0, 0, 21, 25, 21, 30, 19, -22, -33, 30, -13],\n [0, 0, 0, 0, -34, 10, 32, 0, 1, -7, 34, -33... | 601 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-27, -20, -28, 6, 15, -35, -12, 33, 22, -15, 8, 26],\n [0, -27, 3, 31, 18, 13, -3, 7, -6, 21, 20, -9],\n [0, 0, 17, -15, -31, 19, 0, 18, 8, 31, -17, 10],\n [0, 0, 0, -22, -26, 19, -25,... | 991 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-35, -8, -4, 12, -17, 13, -32, -21, -10, -25, 9, -25],\n [3, 20, -24, -16, 2, -31, -25, 34, 23, 7, -24, 24],\n [-15, -18, 26, 35, 29, -32, -31, -9, 7, -27, 27, 12],\n [-11, 35, 23, -15, -7, ... | 48 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, 4, -10, -27, 7, 0, -1, -13, 15, 15, -19, -3],\n [0, -19, 16, 7, -11, 21, -9, 23, 21, 3, -29, 10],\n [0, 0, -33, 10, 11, 3, 28, 27, 29, 34, -9, -5],\n [0, 0, 0, -20, 19, 6, -24, 17, -21, -35, 12, -35],\n [0, 0, 0, 0, 30, 26, 32, -15, -30, -30, -27, 7],\... | 38 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 29, 30, 1, 13, -21, -3, -15, 13, -5, 28, 19],\n [0, 34, 27, 10, -4, -33, -1, -21, -4, 17, -26, 23],\n [-32, -1, 1, -2, 5, 4, -32, -35, 20, -32, 17, 6],\n [5, 10, 23, -14, -31, 4, -9, -5, 9, 19, -27, -22],\n [10, -9, -18, 13, -24, -21, 31, -34, 17, 6, 8, 9],\n [... | 776 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -4, -19, -20, -10, -15, -23, 12, -30, 4, -35, -31],\n [29, -28, 11, 24, 17, 9, 26, -28, 35, 23, 32, -27],\n [22, -34, 3, -9, 30, -13, -26, 16, 35, -34, -7, 31],\n [26, -3, -28, -28, 23, 2... | 544 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 2, 24, -28, 17, -27, 35, -30, 12, -20, -24, -27],\n [-11, -16, 26, 30, -3, 19, -18, -22, 4, 18, -16, 23],\n [-21, 21, 14, 31, 7, 2, 33, 12, -25, -30, -1, 19],\n [35, 17, 20, -18, -29, -3... | 992 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, -2, -18, -12, 5, 6, -12, -16, -6, -16, 3, -2],\n [-2, -16, 19, -8, 22, -11, -4, 7, 18, -8, 32, -8],\n [-18, 19, 27, 17, 18, -12, -10, -16, 1, 3, -29, -4],\n [-12, -8, 17, 35, -27, 12, 5, 13, 14, -17, 13, 9],\n [5, 22, 18, -27, 10, 0, -4, 10, -27, 8, -26, 24],\... | 440 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-33, -15, 27, -1, 32, 21, 26, 22, 29, -6, 7, 5],\n [0, -32, 34, -34, 1, -27, -12, -25, -32, 23, -5, 21],\n [0, 0, -15, 7, -3, 14, -12, -15, 28, 12, -1, -28],\n [0, 0, 0, -27, -8, 18, 4, 12, -17, -12, 0, 31],\n [0, 0, 0, 0, -35, 25, 24, -29, 14, 10, -3, 20]... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, -30, 19, -7, 13, 33, 29, -24, -29, -25, -27, -18],\n [0, -29, 9, 10, 33, 20, 1, -2, 17, 10, -5, -3],\n [0, 0, 27, 8, -10, -6, 18, -11, 12, -8, -15, -4],\n [0, 0, 0, -22, -4, 15, 1, -20, -22, -11, -5, -20],\n [0, 0, 0, 0, -18, -16, 19, 33, 22, 6, 5, -21... | 807 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, -2, 6, -1, 5, 8, 2, -16, -4, 11, -18, -7],\n [-2, -29, -4, 16, 12, 10, -22, -8, 14, -1, -6, 16],\n [6, -4, 30, 14, 8, -31, -9, -13, -16, 6, -19, -2],\n [-1, 16, 14, 22, 0, -1, -23, 0, 5... | 16 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, -18, -26, 30, 11, -35, -28, -6, -16, -20, 23, 30],\n [0, -12, 1, 12, 9, -31, 34, -6, -15, 0, -12, 26],\n [0, 0, -15, 32, 10, 35, 23, -14, -3, -8, 21, 16],\n [0, 0, 0, 32, 20, -1, 2... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -6, -30, -3, -4, 2, -12, -3, 29, -14, -8, -9],\n [-6, -13, -25, 0, -24, 4, -4, 16, -16, 30, 16, -10],\n [-30, -25, 7, -16, 7, -25, 8, 10, 22, 12, 4, -6],\n [-3, 0, -16, -1, -30, 0, -4, -16, 14, 4, -13, -8],\n [-4, -24, 7, -30, 30, 5, -18, 26, -4, -15, -2, 4],... | 976 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-30, -3, 21, 18, 11, 31, -4, 12, -9, -25, 28, 0],\n [18, 17, 13, 25, -31, -31, -31, 22, 10, 18, -17, -19],\n [-29, -22, -19, -8, 7, 34, 14, -8, -26, -20, 11, -14],\n [-26, 6, -7, -7, 32, 9, 34, 26, 7, -29, 23, 4],\n [-9, -6, 21, 28, -9, 12, -19, -28, -22, -9, -8, ... | 376 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 5, 32, -27, -14, -8, 7, -4, -18, 19, -6, -16],\n [5, 7, 6, -14, -17, 14, -2, -2, 6, 8, -15, 5],\n [32, 6, -8, -14, 2, 20, -9, 0, -3, -22, 4, -5],\n [-27, -14, -14, 26, 19, 8, -5, 17, -20... | 936 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[34, 1, -18, -12, -14, 8, 30, 22, -25, 16, -14, -6],\n [1, 2, 18, 28, 3, 16, -2, 2, -6, 26, 20, -8],\n [-18, 18, 11, 15, 13, 17, -6, -22, 0, 22, 24, -9],\n [-12, 28, 15, 33, -10, 20, -16, 6, 4, 12, 14, 28],\n [-14, 3, 13, -10, 10, 2, 0, 13, -10, -2, -2, -10... | 336 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[26, -15, 11, 19, -24, -15, -20, -1, -11, -16, -4, 4],\n [-15, 12, -10, 6, -22, 5, -18, 4, 8, -13, 15, -4],\n [11, -10, -22, 10, -20, -11, -2, -23, -8, 12, 23, 10],\n [19, 6, 10, -20, -4, -14, 12, 0, -20, -14, 6, 12],\n [-24, -22, -20, -4, 25, -16, 11, 14, ... | 672 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, 2, 16, 30, 22, 23, 13, 8, 18, 23, 8, -31],\n [2, 9, -18, 23, -12, -3, -27, 10, 14, 0, -16, 4],\n [16, -18, 18, 3, -2, 16, 20, -8, -2, 7, 2, -22],\n [30, 23, 3, -22, 1, -12, 24, 8, -10, -7, -19, 18],\n [22, -12, -2, 1, -27, -1, 10, 18, 8, 7, -18, -4],\n [23, -3... | 696 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, -7, -5, -29, 1, -17, 24, 1, 10, -17, -9, 33],\n [23, 16, -14, 35, -17, -8, -23, -27, -10, -17, 4, -9],\n [-9, 6, 9, -21, 10, -24, 10, 23, 27, 11, 15, 24],\n [-6, -8, 1, 7, -19, -27, 25, -7, 20, -28, -22, 1],\n [-33, 20, -34, 3, 7, 26, 8, -16, 20, -8, -... | 104 | MATH |
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