messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 9, -8, 28, -31, -9, -25, 15, 11, -34, 30, 4],\n [35, 13, 2, -3, 24, -29, 4, 29, 27, -23, 4, 33],\n [11, 24, -15, -28, 31, 26, 21, 34, 24, -31, 12, -11],\n [-35, 3, -19, -19, 15, 17, -7, 33, 33, -10, -8, 26],\n [-21, 7, 35, -5, -21, 25, 26, -13, 16, -8, -7, 13]... | 992 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, -14, 0, 5, -6, -17, 0, -4, -10, -8, 2, -12],\n [-14, 8, -10, -13, -3, 0, 19, -3, -6, 7, -5, -12],\n [0, -10, 13, -15, -26, -16, 0, -13, 9, 4, 22, -9],\n [5, -13, -15, 19, 12, 4, -3, -6, -6, 9, -30, -19],\n [-6, -3, -26, 12, -1, 3, -30, -10, -8, -14, 20, -6],\... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[34, 24, 2, 4, -14, -6, -19, 1, 6, -21, 0, -2],\n [24, -17, 1, 5, 1, -1, -6, 0, -19, 16, -4, -21],\n [2, 1, -30, 12, 2, 15, -26, 18, 2, -31, 14, -2],\n [4, 5, 12, -31, 24, 26, -8, -10, -16, 18, -13, -1],\n [-14, 1, 2, 24, -20, -21, 20, 14, -12, 4, -8, 2],\... | 96 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-25, 6, 31, -23, -8, -19, 15, -32, -9, 1, -21, 18],\n [0, 31, 35, -12, 7, -6, 15, 33, 16, -9, 25, 23],\n [0, 0, 11, 0, 0, -25, -17, -12, 15, -22, -11, -18],\n [0, 0, 0, -31, -14, 23, -10, 11, 14, -17, 29, 1],\n [0, 0, 0, 0, -31, 33, 34, 5, -22, -3, -6, 22],\n [0, ... | 918 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, -12, 14, -21, -14, 30, -19, 3, 9, 5, 10, 4],\n [0, -23, -5, 12, -10, -35, -2, 2, 21, 17, 21, 15],\n [0, 0, -34, 2, -31, -25, -26, -22, 30, -35, 12, 6],\n [0, 0, 0, 31, -25, 7, -35, -28, ... | 608 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, 22, 31, -29, -10, 33, -10, -7, -14, 25, 6, 13],\n [0, -10, -19, 27, -17, 21, 17, 27, 18, -27, -34, -18],\n [0, 0, -23, 31, -30, -7, -3, -31, -6, 31, 27, -11],\n [0, 0, 0, -35, 19, ... | 997 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 18, -27, 2, 29, 5, 14, -29, 16, 19, -30, 29],\n [-11, 13, -33, -6, 14, 5, -28, 1, -29, -27, 27, -6],\n [23, 9, 16, -19, -2, -15, 12, 12, 33, 13, 6, 15],\n [-7, -35, 31, -14, 14, 2... | 72 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, -28, -13, 5, 28, -3, 17, 2, 16, 14, 7, -9],\n [0, 14, 13, 5, -31, -20, 22, -21, 22, -29, 26, 33],\n [0, 0, 24, 17, 17, -4, 31, 21, -18, 7, 18, 19],\n [0, 0, 0, 8, 27, 9, -21, -18, -4, 24, -13, -34],\n [0, 0, 0, 0, 25, -21, -3, -25, 26, -34, -17, 33],\... | 6 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, 2, -20, -16, -34, 12, 4, -6, 14, 11, -26, -17],\n [2, -1, -10, -18, -16, -24, -10, -10, 4, -8, -12, -1],\n [-20, -10, -35, 16, -3, 6, -1, 2, 10, 2, -12, 13],\n [-16, -18, 16, 12, 0, 14, -20, 18, -26, -10, 14, -3],\n [-34, -16, -3, 0, 4, 8, -7, 31, -8... | 64 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, -26, 18, 7, -26, -8, 28, 2, -11, 16, 31, -30],\n [-34, -13, 30, 31, -20, -14, -4, -35, 12, -14, -4, -15],\n [-27, -4, -2, 19, -32, 35, -7, 21, -7, -9, -35, 26],\n [7, 27, -29, 12, 22, 9, -34, 25, 18, -18, 13, -6],\n [-31, 31, -5, -23, -20, -29, -32, 20... | 504 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-27, -22, -26, -18, 14, 20, 0, 1, 23, 14, 11, -2],\n [0, 22, -8, -10, -16, -35, 35, 20, -11, -30, 11, -35],\n [0, 0, 8, 8, 26, 19, -7, 6, 31, -2, -8, 26],\n [0, 0, 0, 9, -15, 14, -20, 14, 12, -11, 5, -5],\n [0, 0, 0, 0, 34, 8, 0, -22, 30, 5, -20, 15],\n [0... | 609 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 11, 14, 26, -2, 7, -20, 4, 12, -18, -3, 15],\n [11, 31, 5, -22, -12, -25, -28, -16, -27, -20, -19, 24],\n [14, 5, 8, 10, 10, 16, -2, -26, 14, 8, -28, -14],\n [26, -22, 10, -7, 10, 4, 13,... | 624 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[35, -3, -31, 22, -11, 21, 0, 8, 8, 3, -7, 4],\n [-1, 22, -5, -3, -24, 29, 28, 27, -20, -31, 15, 4],\n [2, 28, -2, -7, -32, -10, 10, -4, -26, -12, 10, 35],\n [-20, 10, -14, 19, -31, 14, 28, 34, 17, -23, 31, -27],\n [0, 34, 23, -16, -6, 33, 14, 30, 18, 5, 6, -9],\n ... | 712 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -8, -9, -9, -12, -2, 27, 29, 15, 28, 13, 30],\n [-25, 32, -16, -31, 5, -28, -34, -9, 21, -26, -24, 19],\n [6, -34, -12, -10, 34, -29, -34, 30, -7, 9, -25, -32],\n [-35, -15, 1, -30, 30, -6, 31, -4, -26, -7, 32, -27],\n [-8, -12, 6, 6, -7, 11, -9, -14, ... | 464 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-35, -18, 22, -28, 9, 24, 0, -3, -11, 25, -28, 17],\n [0, 28, 35, -28, -3, -21, 1, -19, 24, -27, -34, -18],\n [0, 0, -24, 29, 24, 6, -32, 33, 14, -28, -14, 21],\n [0, 0, 0, -27, 33, 25... | 956 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, -18, -1, 14, 1, 0, 9, -4, -2, -30, 22, 29],\n [-18, -29, 20, -8, 24, 4, -5, 12, -18, -4, 16, 12],\n [-1, 20, 25, 28, -2, 11, 16, 9, -6, -14, 4, 14],\n [14, -8, 28, 8, -11, 4, -4, 2, 10, -19, -22, 16],\n [1, 24, -2, -11, -1, -8, 4, -12, -22, 24, -1, 6]... | 560 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-32, -26, 1, -20, 4, -10, 2, -16, 17, -18, -4, 6],\n [-26, -34, 22, -10, -24, -20, 24, -24, -18, 4, -24, -16],\n [1, 22, 26, -30, -13, 25, 8, -16, -1, 12, 28, -16],\n [-20, -10, -30, 2, -10, -2, -8, -16, -6, 6, -14, 1],\n [4, -24, -13, -10, -3, 26, -14, -2... | 240 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -8, -12, -6, -14, 29, -29, -33, 20, 4, -28, 18],\n [0, 20, -9, -25, -9, -3, 16, -7, 2, 30, 12, 8],\n [0, 0, 12, -6, -4, -32, -3, -28, -4, -11, -23, 10],\n [0, 0, 0, -15, -29, -5, -28, -16, 15, -30, 24, -15],\n [0, 0, 0, 0, -1, 14, 35, -12, -12, -27, 0... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, 22, 10, -30, 32, 26, -26, -2, 4, 8, -4, 24],\n [22, -25, 27, -11, 25, -19, -6, -14, -4, 4, 11, 28],\n [10, 27, -21, 8, -23, -2, 6, 16, -12, 18, 12, 0],\n [-30, -11, 8, -22, 10, -16, -5, 0, 22, 14, -12, -20],\n [32, 25, -23, 10, -31, -2, 6, 6, -6, 4, -1... | 344 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-33, -6, 2, -2, 0, -1, 11, 11, 9, 30, 19, -15],\n [0, -15, -1, -21, 20, 9, 24, -6, -6, -15, -35, 33],\n [0, 0, -2, 28, 34, 2, -5, 17, 17, -24, -13, 26],\n [0, 0, 0, -22, 11, 34, 1, -23, 0, -3, -24, 9],\n [0, 0, 0, 0, 14, 23, -3, -14, -35, 12, 5, -30],\n [... | 401 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[23, 18, 6, 16, 8, -18, 10, 12, 10, -13, -12, 32],\n [18, -22, -30, 6, -8, -28, -3, 20, 10, 8, -10, -2],\n [6, -30, 30, 11, 2, 26, -2, 0, -7, -10, -9, 13],\n [16, 6, 11, -16, 0, 30, -4, 22, -8, -8, 27, -5],\n [8, -8, 2, 0, -7, 4, 26, -6, -3, -10, -4, 2],\n [-18, -2... | 168 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, -21, -6, 2, 3, 11, -9, -14, -15, 0, 29, 23],\n [0, 32, -11, 31, -7, 26, -26, -32, -27, -8, -26, 30],\n [0, 0, 31, 25, -6, -19, -33, -11, -26, -26, 29, 4],\n [0, 0, 0, 18, -22, -12, -2, -6, 19, 15, -27, -2],\n [0, 0, 0, 0, -32, 8, -31, -14, 24, 30, 24,... | 168 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, 10, 20, 12, 7, 2, 16, -28, 3, -1, 13, 8],\n [10, 29, 3, 0, 3, -22, 30, -14, -4, 11, -14, 1],\n [20, 3, -13, -3, 18, -6, 0, -11, -11, -8, 5, -8],\n [12, 0, -3, 26, -16, 2, 18, 6, 22, -2, 18, -8],\n [7, 3, 18, -16, -29, 6, -10, 16, 2, 2, 24, 26],\n [2, -22, -6, ... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 13, -2, -22, 13, -4, -8, 22, 0, 2, 0, -2],\n [13, 35, 9, -22, -10, 9, 6, 16, 11, -28, -4, -15],\n [-2, 9, -20, -9, -16, 6, 14, -12, -18, 12, -14, 3],\n [-22, -22, -9, 10, 8, 6, 8, ... | 816 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 32, 17, 1, -27, -14, 1, -5, -19, -5, -4, 20],\n [4, 3, 32, -24, 1, -23, -27, -28, -34, 31, 27, 20],\n [-11, -28, 10, 13, 35, -26, 14, 0, 32, 14, -30, 7],\n [-2, -13, -1, -27, 16, 4,... | 784 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -22, -4, 14, 12, 8, 6, 18, -9, -4, 4, -18],\n [-22, -27, -3, 30, 12, 10, -2, -5, -10, -12, 6, -2],\n [-4, -3, 1, 20, 12, -10, -16, -2, 1, 5, 0, 14],\n [14, 30, 20, 35, 18, 6, -18, -2, 8,... | 368 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, 5, 25, 6, 15, 7, 22, 0, 33, 23, -9, 10],\n [0, -11, -3, 23, 3, 9, -30, 1, 23, 35, -7, 24],\n [0, 0, -4, -5, 12, 13, -6, -18, -13, 26, -4, 26],\n [0, 0, 0, 35, 16, 29, 14, 14, -29, 28, -20, -16],\n [0, 0, 0, 0, -15, 26, 14, -1, 22, 7, -34, -22],\n [0, ... | 979 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[26, 5, 18, -1, 30, 16, 10, 27, 18, -13, 28, 21],\n [0, 32, 17, -4, -21, 4, -17, 1, 29, -29, 35, -12],\n [0, 0, 12, 29, -28, -6, 16, -14, -13, 30, -31, 7],\n [0, 0, 0, -31, -10, -33, 20... | 466 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, 26, 30, -29, 8, 19, 13, 11, 24, -27, 4, -19],\n [-14, 4, -31, 26, 25, 18, 14, -4, -18, -15, 29, 26],\n [-20, -9, -10, 16, -12, 11, -11, 30, -34, 23, 26, 35],\n [-17, 28, 1, 27, 16,... | 536 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[34, 27, 0, -11, -24, 30, 33, -14, -5, -19, 32, -18],\n [0, -31, 19, -1, -31, 24, -28, 21, 20, 15, 28, 23],\n [0, 0, -1, -29, 9, -34, 6, -9, -26, 15, -1, -4],\n [0, 0, 0, -33, 20, 23, 29, 2, -8, -32, 17, 21],\n [0, 0, 0, 0, 25, -14, -5, -35, -20, 9, -24, -2... | 183 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[18, -10, 12, -24, 12, -32, -16, -4, -4, -21, 0, -2],\n [-10, -12, 2, 2, -10, 2, -6, -16, -17, 9, 10, 0],\n [12, 2, 0, 10, -26, 12, 8, -14, -8, -6, -8, 12],\n [-24, 2, 10, -13, 18, 10, -10, 16, 28, -6, -8, -10],\n [12, -10, -26, 18, -17, 18, 13, 12, -6, 14... | 256 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, -23, -26, 15, 17, -28, -6, 30, 18, -19, 3, 4],\n [0, 19, 28, 35, -32, -4, 20, 32, -9, -19, 7, -12],\n [0, 0, 28, -2, -28, 0, 34, 16, 24, 15, -13, -10],\n [0, 0, 0, -25, 19, -35, -2, 11, -23, -28, 4, 26],\n [0, 0, 0, 0, -4, 3, -2, 30, 19, -24, -33, -2... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -1, -2, -8, 0, -12, -6, 0, -4, -8, 6, -6],\n [-1, -7, 32, 28, 16, 24, -16, 14, -20, 3, -18, 25],\n [-2, 32, 23, 14, 5, 4, -30, -9, -20, 11, -1, 17],\n [-8, 28, 14, 21, -2, -29, -27, 12, ... | 736 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, 10, -14, 25, -27, 6, -5, -27, 20, 21, -15, -6],\n [34, -19, -30, -3, 20, -32, 7, 22, 27, 29, -21, -25],\n [-23, -6, 8, 31, -23, 9, 7, -21, -3, 19, 4, 21],\n [34, -14, 22, -34, -2, -9, -34, 13, 34, 28, 15, -11],\n [-29, 25, -34, 2, 25, -18, -34, -32, 9, 6, 18, 2... | 368 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, 5, 19, -3, 33, -12, 29, 20, 24, -24, 13, -12],\n [2, 24, -26, -17, -19, 32, 31, -10, -3, -23, 7, -32],\n [14, -27, -3, -11, 28, 32, -18, 7, -8, 33, 34, 33],\n [28, 9, 9, -35, -22, 11, -18, 17, 8, 13, 21, 25],\n [28, -6, 25, -3, -25, -3, -22, -4, 16, -6, 8, 18]... | 872 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -35, 12, 1, 7, -15, 18, -18, -11, -3, -4, -35],\n [-1, -16, -16, 8, -33, 13, -14, -14, 7, -2, 14, 23],\n [31, 6, -26, 34, 18, 15, 7, -34, 0, -26, 14, -7],\n [14, 12, 1, 14, 22, -33, -4, -5, -10, 30, -13, 20],\n [-29, 35, -2, -13, 15, -1, -18, 1, -32, -5, 7, 8],... | 640 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[32, -4, 1, 21, -2, -1, 18, -18, 10, -27, -25, 4],\n [-26, -31, -2, 5, -2, 1, -30, -5, 25, 33, 30, 32],\n [-17, 32, 26, 27, -32, 12, -24, 28, 20, -6, -26, -30],\n [1, -31, 30, -5, -11, -28, -30, 31, -34, 20, -25, 12],\n [-24, 10, 6, -30, -20, -20, -4, 34, ... | 984 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -21, -18, 4, 22, -18, 24, -4, 17, -19, -23, -25],\n [19, 23, -23, 30, 13, 7, 29, 28, 5, -21, -33, 10],\n [10, 3, -1, -9, 19, 5, 5, 23, 19, 20, -31, -9],\n [-19, -5, -5, -35, -12, 22, -3, 22, -19, -32, 17, 19],\n [14, -21, -8, -21, -22, 17, 20, 28, 32, -28, -1,... | 144 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, 34, 29, -10, -11, 18, -20, -27, -28, 27, 19, -22],\n [0, -35, -25, 24, 15, 3, 27, -32, 17, -27, -34, 11],\n [20, -17, -14, 5, -32, -22, 8, 23, -25, 15, -25, 35],\n [-31, -4, -34, 8, -16, ... | 944 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, 7, -25, 23, 10, 3, -1, 14, -23, -8, -25, -10],\n [0, -20, -26, 23, 31, -3, -25, -1, -19, -6, 11, 26],\n [0, 0, 4, -5, 0, 14, -1, -23, 0, 4, -29, 33],\n [0, 0, 0, 14, -8, -14, -10, 0, 18, 10, -6, 22],\n [0, 0, 0, 0, 9, -4, 25, -13, -23, -3, 28, 27],\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[[-20, -10, 24, 31, 30, -30, 25, 9, 3, -14, 31, -11],\n [0, 34, -30, 4, -3, -25, 17, 2, -32, -12, 12, -13],\n [0, 0, 19, -20, -25, -6, -7, 27, 18, -5, -25, 33],\n [0, 0, 0, -9, 19, -33, ... | 244 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-24, -22, 26, 24, -35, 30, -24, -18, -27, -3, -31, -5],\n [0, 14, 6, 25, -22, 25, 2, -19, 13, 19, 30, 21],\n [0, 0, 13, -19, -19, 33, 24, 24, 31, 10, 35, -19],\n [0, 0, 0, 23, -1, 21, -21, -10, 22, -17, -10, -14],\n [0, 0, 0, 0, 31, -3, -24, 16, -35, -14, ... | 12 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[27, 32, -6, 8, 20, 8, -20, -7, -24, -19, -19, 25],\n [-33, -18, 5, 19, 29, 20, -33, -7, -22, 14, -8, -4],\n [-35, -22, -33, -20, 32, 12, -6, -1, -12, -32, -5, 19],\n [-18, 2, 14, -12, -14, 2... | 744 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -19, -1, 29, -20, 9, 12, -11, -28, -24, -14, -17],\n [0, -26, -33, -16, 23, -27, 8, 33, 23, -12, -35, -28],\n [0, 0, 22, -4, -17, 32, -14, 10, 33, -13, 2, 12],\n [0, 0, 0, 35, -28, 3, 23, 13, -16, -6, 29, -35],\n [0, 0, 0, 0, -25, -4, 14, -11, -29, 30, 14, -1... | 14 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, 2, 4, 3, -3, 10, -6, -16, 12, 16, 18, 16],\n [2, 27, 4, -2, -20, -28, -22, 18, 2, -4, -7, -10],\n [4, 4, 30, -26, -14, -19, 28, -8, 6, -2, 15, 7],\n [3, -2, -26, -6, -5, 29, 28, -8, -14, 9, -10, 2],\n [-3, -20, -14, -5, 10, 1, 3, 6, -16, 22, -11, -14],... | 328 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[19, 2, -10, 2, -10, 14, -2, 2, -2, -11, 20, 0],\n [2, 25, 22, 10, -4, 0, -20, -14, -12, 18, -4, -4],\n [-10, 22, -14, -5, 3, -7, 4, -28, 5, -30, -20, -4],\n [2, 10, -5, -31, 30, -14, 12, 0, -1, 8, 12, 9],\n [-10, -4, 3, 30, -34, 8, 0, -8, 30, -13, 0, -2],\n [14, 0... | 40 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -27, 15, 26, 10, 3, -20, 0, -32, 4, 6, -32],\n [29, -7, -13, -16, -18, 6, -31, -28, -19, -9, 17, -34],\n [31, 27, -12, 17, -19, 29, 6, 29, 3, -8, 29, 18],\n [-9, -22, 15, -7, -6, 11, 6, -... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 12, -18, -4, 5, -10, 7, 13, -10, 0, 1, -7],\n [12, -31, -9, 8, -12, -14, -22, -26, 8, 22, 26, 16],\n [-18, -9, 14, 18, 4, -9, 23, -18, -12, 4, 28, 2],\n [-4, 8, 18, -35, 4, -1, 22, -2, 11, 20, 8, 3],\n [5, -12, 4, 4, 31, -14, 14, -2, 23, 4, 26, -10],\n ... | 648 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, 30, 4, 32, -12, -4, 28, 2, -11, -26, 24, -2],\n [22, -32, -19, 1, -18, -13, -32, 27, 7, -19, -3, 19],\n [8, -4, 35, -9, 34, -30, 13, -2, -3, 15, -11, -26],\n [10, 13, 20, -4, 28, 13, -5... | 384 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 6, -4, 24, -10, -20, -6, -6, 16, 6, -1, 2],\n [6, -34, 26, -11, 2, 30, -3, -15, -8, -10, 0, -22],\n [-4, 26, -21, 24, 16, -30, 13, -19, 11, 16, -24, 18],\n [24, -11, 24, 34, -4, -11, 4, -16, -28, -2, 17, -6],\n [-10, 2, 16, -4, -6, 18, 12, 5, -8, 0, 0,... | 312 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, -8, 20, -35, 0, -31, 13, -3, -21, 14, 28, 14],\n [-11, 30, 6, 17, 11, 7, 16, 11, -17, -3, -1, -10],\n [-32, 5, 18, -20, -30, 20, 21, 10, 11, -24, 8, 2],\n [4, 25, -11, -33, -35, -26, 14, -25, -15, 29, 30, 22],\n [-15, -3, -1, -15, 33, -10, 26, -34, 1,... | 344 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -29, -10, -1, -31, -21, 29, 2, -31, 26, 33, 1],\n [0, -7, 19, 12, 17, 15, -23, -16, -2, -29, -23, -19],\n [0, 0, 14, 12, 20, -21, -18, 31, -29, 17, -35, -11],\n [0, 0, 0, 26, -22, -6, 29,... | 800 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -35, 30, -20, -29, -29, 6, 30, 12, -31, -2, 8],\n [-26, 34, -14, -29, -12, 35, -6, 2, 18, -19, 21, -10],\n [15, -2, 24, 22, 34, 15, -24, 33, 11, -8, -28, -21],\n [12, 20, -34, -6, -... | 40 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -15, 13, 14, -24, -11, 17, -14, 18, -4, -35, -17],\n [0, 23, -19, -34, 31, -30, 28, 30, 30, -28, -13, 5],\n [0, 0, -25, 15, 18, -32, -13, -24, -20, -19, 17, 27],\n [0, 0, 0, -35, 30, 9, -10, -10, -35, -5, 16, -3],\n [0, 0, 0, 0, 20, 27, 34, 8, -24, -34, -17, 1... | 990 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[34, 22, -13, 14, 26, -16, -16, -28, -18, 16, 35, -15],\n [-13, -27, -26, 14, -33, -35, -4, 5, -15, 22, 15, 35],\n [-9, 8, 19, -7, 19, -11, 18, 25, -8, -27, 29, 13],\n [-4, 23, 14, 25, ... | 112 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, -30, 19, 12, -18, -4, -3, 5, 14, -24, 28, 26],\n [-2, -19, 19, -19, 27, -22, 16, 34, -25, -33, -8, -23],\n [31, -18, 5, 2, 34, 32, -18, 29, -22, 18, -7, -29],\n [-4, 15, 6, -10, 28, 13, 16, 28, 12, -6, -15, -23],\n [-23, 6, 11, 33, 14, 26, -8, 31, 1, -... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[31, 13, 4, 22, 14, 2, 34, 1, 13, -2, -24, 0],\n [13, -21, 7, 28, -8, -6, -29, 0, -14, 32, -12, -8],\n [4, 7, -15, -18, 10, -4, 2, -27, 6, 12, -27, 14],\n [22, 28, -18, 20, 2, -16, 0, -1, 13, -13, 6, 19],\n [14, -8, 10, 2, -3, -18, -12, 6, -10, 8, 0, 4],\n... | 432 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[33, -16, -18, -3, -24, 29, -16, 32, -25, -28, -23, -4],\n [0, 34, 2, -8, -17, -4, -8, -28, -9, -28, 8, -29],\n [0, 0, 34, 30, 33, 12, 3, -24, -26, -30, 34, 9],\n [0, 0, 0, -20, -22, 18, -32, 22, 12, 6, -22, 29],\n [0, 0, 0, 0, -21, 15, -8, -13, -27, 13, 1... | 996 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, 2, 32, -22, 31, -20, 17, -23, -11, 23, 10, 3],\n [18, -7, 1, -17, 18, 21, 32, 5, -24, 30, -11, 27],\n [-3, 28, -18, -29, 26, -25, -32, 7, -5, -1, -31, -29],\n [-29, -24, 19, 28, -8, 16, -31, 27, 29, -19, 26, -9],\n [35, 25, 6, -3, 22, 1, -29, -32, -2... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, -1, -13, -28, 15, 22, 16, 21, -6, 0, -7, 10],\n [-1, 26, -2, 11, 6, 8, -2, 27, 7, 7, 1, -25],\n [-13, -2, -9, 6, 24, -21, -10, 0, 2, 12, 10, 14],\n [-28, 11, 6, -12, -24, -2, -26, -12, 26, 0, 18, 14],\n [15, 6, 24, -24, -1, 6, 8, 2, 2, 4, -14, 0],\n [2... | 208 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -12, 18, 13, 14, -19, 24, 24, 0, -9, -2, -28],\n [-12, 20, 0, 22, -18, -12, 2, -14, -8, 27, -2, 24],\n [18, 0, -3, -16, 13, 2, -6, -14, 12, 0, -32, 0],\n [13, 22, -16, 28, -7, 16, -27, -2, 12, -2, -9, -4],\n [14, -18, 13, -7, -22, 10, 6, 4, -26, 6, 2, 4],\n [... | 944 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -21, -22, 3, -26, 18, 23, -1, 7, 16, -34, -28],\n [0, 14, -21, -16, 6, -33, 4, -35, -15, 26, -21, 34],\n [0, 0, 27, 32, -8, -31, 10, 8, -1, 9, 6, -4],\n [0, 0, 0, -23, 22, 32, 7, 1, 23, -34, -6, 31],\n [0, 0, 0, 0, 25, -11, 1, -29, 21, -27, 7, 24],\n [... | 969 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[1, 0, 0, 4, 10, 4, -5, -6, -30, 6, 13, 2],\n [0, -13, -34, 14, -1, 2, 3, -2, -19, 0, -16, -9],\n [0, -34, 5, 18, -16, -3, -26, 4, 0, -25, 4, -16],\n [4, 14, 18, 35, 0, -12, 32, -32, 2, -3, -12, -9],\n [10, -1, -16, 0, -33, 1, -6, -4, 24, 10, 10, -8],\n [4... | 552 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-27, 10, 5, -32, -13, 29, 14, 11, -10, 13, -20, 15],\n [0, -15, 17, 18, 31, 5, 20, -5, -23, 32, -24, -28],\n [0, 0, -23, -5, 7, 25, 18, 14, -15, 35, -34, -33],\n [0, 0, 0, -16, -22, 13, -18,... | 13 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 30, -11, -20, 11, 13, -27, -32, 33, 2, -2, 14],\n [0, -19, 34, 35, -23, -6, 34, 30, -17, -24, 33, 35],\n [0, 0, -18, -22, 9, 22, -17, 34, 7, 16, 18, -19],\n [0, 0, 0, 32, -23, -23, 29, 2... | 800 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-20, -23, -24, 10, 22, 1, 33, 6, -13, 5, 7, 0],\n [9, -25, 17, 13, -16, -6, 14, 12, -35, 22, -6, 2],\n [-25, 27, 33, 26, 2, 17, 26, -6, 15, 15, -22, -6],\n [25, 11, -10, -27, 3, 13, -2... | 216 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, -5, 18, -8, 3, -22, 4, -4, -2, -2, -16, 4],\n [-5, -33, 10, 0, -17, -4, 8, 2, -6, 4, -8, -12],\n [18, 10, -22, 26, 18, 2, -18, 1, -6, -26, -8, 20],\n [-8, 0, 26, 7, -1, -28, 1, 24, 11, ... | 440 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, 11, 3, -20, -3, 33, -21, 14, -18, -29, 12, 35],\n [30, 21, -35, 2, 6, -30, 33, -9, 10, 8, -2, 22],\n [19, -18, 10, 21, -11, -21, 24, -24, -33, -28, 30, -21],\n [-17, -20, 22, 9, -3... | 272 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, 19, -3, 14, 17, -9, -17, -17, -15, 4, 21, 5],\n [9, 30, -29, 21, 30, -20, 25, -28, 31, 12, -18, 35],\n [-4, 17, 0, -27, -12, 2, 8, 21, 33, 3, -33, -10],\n [6, -34, -33, 10, -8, 2, 18, -20, 9, -10, 32, 24],\n [-15, 20, 29, -30, 35, 30, -31, 2, -11, -29... | 168 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, 35, 35, 32, 10, -27, -2, -21, 27, -2, -27, -34],\n [-12, -7, 8, -18, 27, -18, -9, 33, 24, 15, 28, -21],\n [18, 22, 5, -3, 31, -14, 26, 33, -20, 18, -19, -11],\n [-16, -23, -29, 8, ... | 488 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[27, 13, -6, -27, -5, -32, -27, 14, -7, 21, 35, -30],\n [-22, -22, -14, -10, -16, 24, 9, 1, 23, 34, -29, -31],\n [-6, -23, -13, 9, 1, 11, 32, 13, 10, 29, -16, 10],\n [-24, 25, 18, -4, -34, -21, -25, -31, 15, -22, 10, 19],\n [-22, -7, 9, 34, 17, -32, -5, 27,... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -32, 1, 26, 11, 5, 11, -5, 8, -16, 8, 0],\n [-32, 21, -2, -19, -20, 11, -22, -6, -14, -14, 26, 7],\n [1, -2, 25, -12, 14, 30, -6, 0, 20, -23, -6, -11],\n [26, -19, -12, 34, -6, 2, -32, -16, 25, -10, -8, -7],\n [11, -20, 14, -6, 30, -20, -28, 26, -8, -1... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -2, 0, 16, -16, 10, -23, -6, 5, -8, -11, 30],\n [-2, -17, -10, -12, 28, -10, 8, -4, 11, -2, 15, 2],\n [0, -10, -18, 14, -10, 18, 32, 14, 6, 8, -16, -16],\n [16, -12, 14, -34, -19, -26, 5, 2, 4, -8, -6, -10],\n [-16, 28, -10, -19, -1, 3, -30, 5, -18, 10, -32, ... | 768 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 26, 35, -26, 19, 35, 13, -15, 22, 31, 14, -14],\n [-33, -5, -3, -8, -14, 28, 22, -27, -6, 35, 25, 31],\n [26, -1, 18, 35, 10, -33, -23, 5, 14, -30, -18, -14],\n [1, 27, 7, -24, 33,... | 832 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -6, 5, 12, -14, 6, -8, -16, 2, -4, 24, 10],\n [-6, 7, -19, -6, 10, -2, -2, 10, 13, -2, 19, -6],\n [5, -19, -3, -4, 12, 5, -7, 10, 7, -4, -22, 4],\n [12, -6, -4, -31, 1, 7, -4, 8, 29, -19, -12, 30],\n [-14, 10, 12, 1, 29, -7, -11, -8, 17, -22, 20, 1],\n [6, -2,... | 840 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, 17, -14, -14, -16, -3, -30, 14, -12, -23, -31, 4],\n [0, 25, -28, -18, -5, 2, 26, -30, -18, 32, 27, 28],\n [0, 0, 18, 4, 34, -27, 5, 20, -32, -15, 28, 17],\n [0, 0, 0, -19, 19, -7, 17, -19, 25, -6, 32, -29],\n [0, 0, 0, 0, 9, -9, -21, -14, 29, -8, -27... | 991 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, -10, -13, -24, 13, -11, 34, 32, 12, 4, -5, 25],\n [-23, 6, 26, 13, -22, 13, 15, -2, -27, 12, 0, -15],\n [-25, 34, 35, 30, -32, -28, 28, -6, 12, -15, -11, 0],\n [-5, 30, -11, 5, -19... | 968 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, -14, -2, -16, 2, 24, -2, 18, -19, -16, 2, 16],\n [-14, 11, 12, -14, -8, 0, 3, 6, -10, 9, 4, -2],\n [-2, 12, 3, 10, 2, -4, -5, -24, -13, 10, 8, -6],\n [-16, -14, 10, 26, 2, -2, 22, -6, 13, -20, 1, 6],\n [2, -8, 2, 2, -19, -4, 15, 2, -2, 14, 18, 14],\n... | 252 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[34, 17, 1, 3, 7, -12, -27, 0, -35, -20, -3, 28],\n [0, -2, -28, 25, 14, -4, 34, 0, 20, 5, -22, 13],\n [0, 0, 24, 1, 20, 23, 30, -21, 14, 10, -21, -30],\n [0, 0, 0, 26, -21, 11, 35, 3, ... | 61 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -10, 12, 11, -1, 11, -8, -16, -20, 17, -17, 8],\n [-10, -28, 14, -14, -6, -2, 0, 14, -16, 0, -6, -14],\n [12, 14, 32, 26, 4, -4, -14, -3, 8, -16, 18, 2],\n [11, -14, 26, 28, 21, 18, 2, 7... | 840 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-23, -9, 17, 14, -32, 26, -20, 6, 16, -19, 20, 21],\n [0, 17, -13, 4, 33, 27, -11, -35, -18, 3, -21, 25],\n [0, 0, -32, 22, 12, -8, -10, -22, 25, 18, -2, -14],\n [0, 0, 0, -31, -31, 35... | 977 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[33, 3, 30, -26, 8, 1, -7, -26, -23, -14, 7, -32],\n [0, -29, 23, 2, -2, 7, 7, -29, 7, -8, 25, 18],\n [0, 0, -29, -2, -13, -21, 31, 12, -27, -19, 21, -25],\n [0, 0, 0, -18, -9, 25, -3, ... | 912 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, -8, -4, -12, 1, 17, 1, -4, -4, -16, -1, -9],\n [-8, -17, 2, 0, 25, 4, 18, -2, 18, 6, -26, 6],\n [-4, 2, -6, 24, -7, -20, -27, -22, 3, 20, -26, 11],\n [-12, 0, 24, -9, 32, -4, 14, -... | 952 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-35, 0, -23, -35, 26, -26, -2, 15, -2, 23, -23, -34],\n [29, 23, -12, 26, -32, -25, 6, -18, -30, 28, 27, 16],\n [-17, -18, 31, -16, 3, -27, 6, -34, 3, 2, -33, -13],\n [34, 30, -34, 24, -2, -... | 320 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 8, 3, -16, -13, 7, 0, -32, -16, 34, -14, 22],\n [4, 25, 27, -5, 7, 5, 29, -29, 1, -34, -18, -29],\n [18, 2, 2, 12, 30, 16, 20, 6, 25, 35, 26, -16],\n [-10, -8, -20, 21, 14, -9, 5, -7, 15, 28, 17, 16],\n [18, 28, -12, -34, -5, -1, 2, -33, -24, -3, -4, 9],\n [-... | 624 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 13, -20, 7, 9, -11, 30, 16, -16, 22, -16, 29],\n [0, 4, -13, -8, 20, 6, -16, 11, 27, 26, -10, -34],\n [0, 0, -34, -31, 32, -11, -33, -28, -3, 18, 9, 18],\n [0, 0, 0, 30, 11, 32, 18, 17, -31, 4, -7, 4],\n [0, 0, 0, 0, -32, -27, -17, -21, -27, -1, 31, ... | 4 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, 0, 7, -10, 1, 4, -12, 0, -28, 0, 16, 20],\n [0, -22, -5, -5, -22, -6, -1, -21, 10, -21, 4, 6],\n [7, -5, -7, 9, 29, -4, -10, -10, 2, 24, 13, 0],\n [-10, -5, 9, -35, -8, -27, 10, 3, -28, -2, 2, -26],\n [1, -22, 29, -8, 32, 10, -17, 18, -14, 33, -4, 30]... | 608 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 24, 9, -20, -29, 5, 14, -27, -17, 6, 24, 32],\n [-34, -3, -27, 3, -15, -1, -25, -22, 3, -31, 13, -28],\n [-26, -1, 9, 16, 33, -22, 22, 6, -5, -28, -6, 34],\n [-3, 19, 20, 3, 10, 19, 32, 10, 2, -16, 22, -18],\n [-16, 16, -17, 24, -2, 8, 20, 1, 21, 0, -... | 920 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, 25, -29, 18, -33, 6, -14, -9, 1, -27, -33, -15],\n [0, 32, -34, -3, -24, 17, -30, -15, -25, -6, 26, 25],\n [0, 0, 21, 17, -14, -25, 21, -32, -2, -27, -4, 35],\n [0, 0, 0, -13, -28, -20, 8, 33, 17, -2, 4, -24],\n [0, 0, 0, 0, 35, 31, 2, -29, -10, 20, 19, 10],\... | 636 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, 19, 27, -21, -3, 10, -12, 33, -10, -20, 7, 23],\n [0, -15, 35, 23, -34, 35, 23, -10, 26, 17, 26, -20],\n [0, 0, -35, 28, 11, 20, -12, 16, 10, 34, -20, -13],\n [0, 0, 0, -9, -26, -26, 27, -25, 13, -1, 28, 34],\n [0, 0, 0, 0, 29, -12, 19, 17, 22, -8, -2... | 936 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 15, 6, -15, 14, -12, -10, -30, -1, 14, 18, 0],\n [15, 20, 8, 7, -32, 30, -22, -14, -14, -30, -28, 10],\n [6, 8, 1, -16, -7, -5, 26, 18, -2, 4, 27, -6],\n [-15, 7, -16, -8, 0, 0, 12, 10, 28, 20, -16, -29],\n [14, -32, -7, 0, 7, -6, -2, 18, -5, 12, 14,... | 928 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-24, -20, -13, 14, 7, -34, -16, -5, 21, -6, 26, -3],\n [0, 25, 33, -9, 1, 27, -27, 21, 31, 13, 6, -28],\n [0, 0, -21, 8, -32, -28, -14, 27, 14, -17, 16, -10],\n [0, 0, 0, 16, -2, -34, -2, -10, -31, 26, 27, 32],\n [0, 0, 0, 0, -12, 7, 2, -17, -17, 35, -19, ... | 1 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-24, -3, 18, -26, -4, -17, -2, -14, 3, 15, -3, 9],\n [-3, -21, 21, 0, 4, -2, -22, -2, 13, 2, -11, -27],\n [18, 21, -22, -5, 1, -6, -24, -19, -3, -18, 6, -5],\n [-26, 0, -5, -7, 1, 15, 10, 26... | 888 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 15, 25, -3, -7, -18, 1, -14, 34, -18, -26, 35],\n [0, 32, -15, -4, 21, 23, -24, -21, 5, -12, 0, 33],\n [0, 0, -21, -21, -24, 6, -21, 9, -15, 15, 11, -8],\n [0, 0, 0, 29, 9, -14, -16, -33... | 80 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -18, 24, -5, -3, 14, 10, 5, -2, 4, 14, -14],\n [-18, 30, 2, 17, -11, 8, -10, 4, 14, 9, 1, 4],\n [24, 2, 30, -30, -2, 0, 10, -24, -15, 4, 23, 16],\n [-5, 17, -30, -18, 14, 4, -8, 0, 7, -32, -22, 4],\n [-3, -11, -2, 14, -7, -8, 7, -6, -13, -7, 18, 0],\n [14, 8,... | 968 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, -33, 24, 31, -22, 35, 24, 21, 22, 32, -29, 8],\n [0, -16, -15, 35, 3, 35, 22, 18, 35, -26, -21, -29],\n [0, 0, -35, 26, 34, 16, -3, -3, 35, 12, 31, -23],\n [0, 0, 0, 32, -22, -32, 9, -14, 20, 24, -31, 32],\n [0, 0, 0, 0, 22, 7, 23, -7, 2, -14, -30, -18],\n [0,... | 52 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 2, 15, 10, 18, 35, 33, -31, -17, 4, -32, 16],\n [1, 25, 0, -16, -35, 28, 25, 3, -1, -23, -26, -6],\n [28, -26, -4, -35, -23, 3, 28, 12, 9, -26, 34, -24],\n [-21, -10, -31, 18, 8, 9, -23,... | 472 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 7, -16, -35, -28, 6, -33, 17, 10, 16, 17, 10],\n [4, 18, -22, -32, 33, -26, -15, 6, -12, -15, -1, 23],\n [-13, -18, 10, -7, 3, -34, -30, 0, 4, -23, 5, 14],\n [-1, 26, -29, -13, -4, -28, -33, -26, -9, -24, -19, 35],\n [25, 30, -20, 5, 5, -27, 4, -14, 2... | 496 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, 19, 24, 3, 4, 14, 7, -5, -4, 2, 3, -15],\n [0, -30, 5, 5, 8, -26, -2, 29, -31, 31, -7, -35],\n [0, 0, -25, -27, -18, 21, -19, 17, 8, -8, 14, 33],\n [0, 0, 0, -3, -20, -23, -31, 1, -33, ... | 998 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, 15, -14, 31, 1, 16, 30, -29, 5, 6, 29, -11],\n [0, -22, 29, 15, 33, -30, 5, -6, -35, -35, 1, 34],\n [0, 0, 34, -9, -4, 26, -12, -17, -23, 26, 21, 8],\n [0, 0, 0, 26, -20, 1, 14, 25, 23, -13, -27, 4],\n [0, 0, 0, 0, 11, -2, -5, -30, 4, 26, -26, -27],\n [0, 0, ... | 457 | MATH |
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