messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, -28, 7, -35, 15, -12, -12, -19, -31, -16, -15, 22],\n [0, -25, 16, -21, -29, -8, 15, 22, -31, -31, -28, 28],\n [0, 0, -28, -11, 30, 14, 31, 13, 0, 32, 5, 26],\n [0, 0, 0, -24, -34, -23, ... | 532 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-19, 35, -32, -22, -33, 22, 19, -32, -12, -2, -6, -17],\n [-5, 24, 24, -17, 13, 27, -14, -12, -6, 22, -5, 28],\n [-17, 12, 9, 19, 19, -18, 27, 11, 21, 9, -3, -19],\n [34, -32, -16, 11, -21, 34, 11, -27, -20, 33, 25, -26],\n [14, -33, 34, 15, -17, 6, -1, 10, -10, 3... | 144 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, 21, 30, -20, 15, 3, 4, 2, 24, 23, -26, 28],\n [27, 13, 28, -4, -29, -15, -16, -10, 32, -21, -22, -9],\n [4, 22, -8, -10, 27, 30, -11, -33, 8, 6, -30, 3],\n [16, -13, 14, 7, -17, 3... | 432 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 2, -21, 27, -15, 21, 17, 10, -22, -19, 3, -27],\n [-30, -13, 23, 10, 2, -22, 26, -1, -17, -6, -11, 4],\n [-22, -10, -14, 12, 15, -33, 6, -17, -8, 9, 35, 27],\n [-17, 11, -22, 2, 17, 25, ... | 88 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, 30, -14, -5, -13, 12, -16, 2, 19, 32, -35, -29],\n [0, -24, -31, 14, 6, -24, -18, 30, -19, 32, 35, 26],\n [0, 0, 34, 9, 22, 15, -2, 8, -21, 34, 14, -4],\n [0, 0, 0, 31, 12, -19, -29, -23, 30, -32, -26, -19],\n [0, 0, 0, 0, -15, -12, -32, -12, 23, -33,... | 548 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 5, 23, 33, 17, 9, -16, -12, 25, 22, -9, -10],\n [-29, 6, 11, 17, 23, 2, 33, 17, -21, -10, 12, -17],\n [-27, 28, 18, 15, 3, -32, -33, 28, -7, -25, 22, -9],\n [-15, 3, 10, 30, 0, 29, 27, -1, -5, -8, -35, -11],\n [7, 31, 27, 15, -34, 28, 33, -27, -34, -... | 504 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -4, 6, -20, 10, 22, -2, -10, -10, -4, 18, 5],\n [-4, 29, 10, 6, -24, -11, -18, 0, -2, 3, -22, -26],\n [6, 10, 7, 12, 0, -4, 6, 18, 6, 22, -15, -12],\n [-20, 6, 12, -3, 16, -17, 23, 9, -... | 464 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -33, 21, -6, -27, -10, -34, 26, -33, 10, 32, -11],\n [15, -23, 8, -1, 19, -27, -34, 25, 5, 8, 28, -5],\n [11, -34, 33, 22, 8, 20, 7, -2, -6, 35, 34, 19],\n [31, -23, -33, -10, 21, -12, 1... | 552 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, 31, -31, 31, -25, 32, 33, -35, 27, -7, -24, 5],\n [-34, 1, 9, 12, -12, -14, -25, 22, 10, -7, -1, -21],\n [24, 6, 7, 13, 28, -4, 28, -34, -12, 30, 2, -5],\n [-10, -7, 31, -11, 12, ... | 16 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-21, 10, 28, 10, 20, 8, -7, 26, 16, 18, 21, 30],\n [0, -16, -3, -11, 10, 21, -31, 19, 25, -28, -20, 12],\n [0, 0, 29, -14, -33, 18, -22, 0, 31, -26, 13, 29],\n [0, 0, 0, 35, 21, -21, -6, -16, 1, -33, 5, 3],\n [0, 0, 0, 0, -20, -27, -23, -8, -9, 15, 28, 16... | 256 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 34, 17, 8, 18, -16, -5, -29, 22, -26, -26, 3],\n [-8, -6, 1, 31, 7, 16, 20, 32, -27, -13, 27, 25],\n [4, 8, -12, 15, 22, -3, -20, -14, 21, 26, 35, 34],\n [-6, -13, -4, 21, -27, -5, 35, -27, -23, 22, -33, -1],\n [-15, 28, 16, -2, -1, -21, -30, -4, 16, -... | 304 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-34, -12, 28, 35, -12, -9, 1, 3, 27, -10, 29, -32],\n [-7, -35, 14, -25, 23, 26, 0, 20, -15, -23, -27, -25],\n [34, -35, 34, 20, -5, 1, 11, 11, 33, 22, 0, -4],\n [28, 35, 6, 12, -6, -15, 24, -23, -35, 29, -3, 2],\n [-11, -10, 23, -3, 5, -6, 21, 13, 12, 13... | 776 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 26, -11, -10, 17, 0, -4, 9, -6, -10, 0, 2],\n [26, 31, -16, -18, 1, 0, -20, 8, 8, -24, 24, 4],\n [-11, -16, -3, -6, 2, 22, -4, 21, -6, -4, 24, 3],\n [-10, -18, -6, 33, -6, 16, -34, ... | 696 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, -4, 4, -15, 13, 18, -26, 30, -2, -25, -2, 6],\n [-4, 33, 6, -16, -31, -2, -11, 22, 2, 5, -17, -2],\n [4, 6, 26, -20, -2, -26, 12, 0, -9, 22, 0, -20],\n [-15, -16, -20, 35, -24, -8, 16, -4, -16, 7, 4, -8],\n [13, -31, -2, -24, -17, -12, 18, 2, 7, -4, ... | 944 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 24, 22, -28, 10, -14, -9, 16, -27, -4, 12, 16],\n [24, -22, 22, 10, 12, 9, -2, 14, -11, 6, 0, 10],\n [22, 22, 16, 0, 2, 0, -14, 20, 12, -26, -9, 1],\n [-28, 10, 0, -6, -28, -5, 14, -12, ... | 216 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 24, 21, 35, -19, 14, -4, -14, 19, 21, -23, 11],\n [26, 18, -7, -14, 29, -7, 12, -31, -1, 35, 10, -1],\n [9, -23, -26, 30, 34, -11, 8, 24, 11, 4, -29, 10],\n [-13, 10, -23, -15, -35, -17, 24, -3, -32, -33, 16, -8],\n [34, 34, 19, 21, -20, -12, 33, 5, 11,... | 304 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, -10, -4, -4, 12, 8, 17, -9, -18, -8, -10, -9],\n [-10, 15, -5, 20, 32, 4, 9, 5, -13, -16, 3, -26],\n [-4, -5, -35, -11, -10, -14, 18, 18, -14, -10, -18, -4],\n [-4, 20, -11, -9, -4, -14, 34, -6, 12, -3, -14, -4],\n [12, 32, -10, -4, -26, -8, -4, 4, -22, -7, -... | 80 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, -7, 16, 10, -2, 25, 35, 34, -25, 27, -15, -33],\n [-26, -9, -24, -29, -19, 29, 28, -10, -21, -3, 26, 11],\n [-1, 29, -11, 21, -4, 27, -24, 27, -35, 15, 34, -28],\n [32, -31, 3, -1... | 992 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 17, 10, -2, 14, 2, -7, 20, 24, 0, 13, 12],\n [17, 19, -24, 30, 10, 2, 28, -12, -20, -9, -22, 27],\n [10, -24, -35, -24, -5, -20, 16, 27, 27, -22, 20, -3],\n [-2, 30, -24, 25, -28, 8, 21,... | 192 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, -20, -17, -30, -25, 25, 6, -23, -24, -16, 14, 0],\n [33, 1, -24, 4, 18, -34, 14, 5, 9, -27, 26, 11],\n [-31, -35, 8, -14, 2, -17, -5, 31, 6, -10, -23, 22],\n [-18, 31, -33, 19, 22, 27, 16, -12, -27, 1, 17, -12],\n [-15, 4, 26, 34, 33, -22, 6, 14, 25, ... | 264 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 5, -33, 33, -22, -10, 34, 22, 4, 15, -31, -4],\n [-35, 18, -25, 17, -28, -11, 4, -4, -8, -33, 26, -9],\n [9, -11, 25, 8, 10, -22, -28, 12, -22, 29, -29, 13],\n [19, -23, 20, 20, -21, 21, 22, -1, -20, -28, 9, 4],\n [18, -22, 23, 17, -9, 11, -30, 19, 8, -18, -2... | 104 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-21, 18, -22, -16, -12, 4, 16, -12, 2, -27, 14, 1],\n [18, 32, 12, 4, 4, -3, 0, 7, 3, -8, -10, 12],\n [-22, 12, -31, -14, -32, -22, 21, -18, 8, 14, 16, -28],\n [-16, 4, -14, 13, -26, 22, 18, -2, -8, 17, -16, -8],\n [-12, 4, -32, -26, -5, 2, 20, -13, -1, 2... | 880 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, -3, -23, 20, -2, 30, -32, 6, -8, 6, -8, 4],\n [-3, -16, -10, 4, -15, -2, 2, 0, 2, -8, -12, -24],\n [-23, -10, -2, 18, 0, 20, 2, -2, -12, 24, 23, 2],\n [20, 4, 18, 4, 16, 2, 0, -2, -14, ... | 422 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 4, 9, 19, 15, -31, -23, -8, 26, -12, -29, 2],\n [0, 32, 6, -31, 28, 14, -21, 17, -11, -27, 2, -14],\n [0, 0, -21, 29, 18, -6, -16, -3, -29, -28, -8, 9],\n [0, 0, 0, 15, 8, 14, -19, -1, -35, -7, 15, 28],\n [0, 0, 0, 0, 17, -19, 4, -23, 16, 22, 1, 25],\... | 2 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -22, 16, 0, -28, 4, -14, -20, 24, 24, -26, -11],\n [0, -15, -3, -5, -15, 0, 29, -32, 32, -32, -27, -6],\n [0, 0, 33, -13, -20, -14, 12, 26, 24, -31, -29, 15],\n [0, 0, 0, 11, 31, -12, -2... | 399 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 30, -4, 0, -3, 26, 2, -4, 8, -2, -22, -14],\n [30, 4, -16, -14, -14, 8, 15, -20, -12, -16, 22, 9],\n [-4, -16, 25, 17, -32, 12, -1, -6, -8, -3, -30, 6],\n [0, -14, 17, -2, 11, 28, 5, 1,... | 648 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -26, -23, 8, 3, -17, 15, -17, 16, 11, -6, 10],\n [0, 12, 26, 22, -18, 23, 12, 27, -24, -2, 25, 17],\n [0, 0, -32, -23, 6, 13, 20, 11, -28, 19, -18, -1],\n [0, 0, 0, -23, 33, 6, -5, -10, -4, 16, -16, 4],\n [0, 0, 0, 0, 7, -20, -1, 17, -2, -33, 32, -31],\n [0, ... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, -7, -14, 34, 25, 7, 13, -7, -5, 17, -2, 2],\n [0, -32, -34, -24, -1, 34, -15, 25, -1, 12, -21, 35],\n [0, 0, 32, -14, -4, -14, -9, -21, 8, -27, -2, -21],\n [0, 0, 0, -17, -20, -28, -3, -18, -1, 7, 14, -33],\n [0, 0, 0, 0, 34, 11, -22, -29, -5, 15, -7... | 792 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 15, 2, -16, 1, 14, -24, 10, -19, 4, -3, -2],\n [15, -9, 22, -30, 24, 2, -8, 24, 6, -8, -20, 23],\n [2, 22, -5, -6, 24, 7, 22, 12, -5, -4, 16, 14],\n [-16, -30, -6, -19, -2, -8, -14, 12, 10, 18, -5, 4],\n [1, 24, 24, -2, 8, 20, -6, 10, 0, 2, -16, -18]... | 752 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 9, -31, 17, 30, 26, -13, 8, 16, 10, -17, 11],\n [16, -12, -19, 10, 28, -8, 14, 28, -8, 20, 23, -31],\n [18, 8, 6, 21, 11, -11, 8, -21, 15, 17, -2, -28],\n [34, -15, -29, 20, 13, 6, -13, ... | 680 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 10, 17, -10, 25, 31, 18, -14, -10, 24, 3, 0],\n [-15, 5, 12, -10, 27, 0, -12, -15, -18, -21, -30, 7],\n [-5, -8, -28, -7, -15, 22, 24, 14, -5, 11, -2, -34],\n [31, 16, -29, -17, -21... | 952 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-31, 8, -14, 18, 16, 0, 4, 18, 0, -11, -16, -8],\n [8, 13, -26, -2, -3, 0, 4, 6, 24, -8, 14, -2],\n [-14, -26, -21, -7, 18, -8, 6, -8, 0, -12, 18, 2],\n [18, -2, -7, -22, -26, 12, -27, 18, -... | 584 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 18, 10, 32, -32, 30, 7, 26, -32, 29, 26, -34],\n [-27, 21, 9, -18, 12, 6, 5, 22, 6, -1, 2, 31],\n [5, 14, 9, 35, -17, -19, 29, 20, 5, 6, -30, 33],\n [4, 5, -27, -28, 8, 22, 31, -23, -17,... | 152 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, 10, 2, -8, -11, 2, 6, 16, -4, -2, -5, -14],\n [10, 26, -11, -23, -9, -19, -16, 10, 18, 1, -7, -6],\n [2, -11, 34, -24, -17, 6, 18, -10, 16, 18, 4, -10],\n [-8, -23, -24, -20, -1, 16, 20, -2, 2, -9, 22, 4],\n [-11, -9, -17, -1, 31, 13, 27, 7, 12, -1, 4, 12],\n... | 304 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, 12, 8, -21, 0, 4, -8, -2, 2, 3, -21, 7],\n [12, 31, -16, 14, 10, 6, -12, -1, -12, -16, 20, -14],\n [8, -16, 8, 16, 24, -4, -17, 2, 8, -2, -30, -17],\n [-21, 14, 16, -35, -24, 22, 8, -14, -2, 2, -30, 6],\n [0, 10, 24, -24, 20, 6, -2, 24, -6, 4, -18, 8],\n [4, ... | 512 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-35, -8, 26, 11, 23, -5, 34, 13, -31, -5, 1, -21],\n [16, 33, -25, 7, 34, -13, 4, 27, -34, 11, -6, -20],\n [23, 11, -6, -27, 29, 23, 28, -28, 16, -18, 22, 13],\n [-4, 12, 9, 18, 10, -5, 1, -20, 10, 10, 25, 10],\n [15, 26, -1, 6, 9, 32, 11, -6, -12, 30, 7, -2],\n [... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-32, -20, 22, 2, 4, -12, -7, 0, -17, 16, 5, -9],\n [-20, 28, 18, 14, 9, -8, -5, -3, 28, 4, 11, 9],\n [22, 18, -13, 2, -10, -16, -2, -26, -19, -30, 15, 18],\n [2, 14, 2, 15, 14, 26, -15... | 96 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -9, 15, 33, -13, -27, -3, -1, 14, -12, -12, -17],\n [0, 25, -11, -11, -9, -4, -25, 33, -3, -17, -20, -25],\n [0, 0, -11, -2, -24, -15, -7, 15, -13, -3, -28, 6],\n [0, 0, 0, -22, 26, 10, 31, 17, 16, -29, 18, -25],\n [0, 0, 0, 0, 22, -25, 19, -17, 3, 34, -25, -... | 976 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, -32, -33, 25, -32, 29, -24, -23, -2, 23, -5, 35],\n [0, 18, -34, -3, 14, -29, -18, 15, -28, 19, 7, 23],\n [0, 0, -27, 32, 3, -25, -34, -13, 27, -14, 25, -10],\n [0, 0, 0, 33, 35, -3, -1... | 984 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -25, 25, 8, -25, -25, -14, 26, 12, 27, 15, 9],\n [0, 24, -34, -23, 30, 21, 7, 9, -5, -26, -13, -7],\n [0, 0, -25, 11, -33, -34, 18, -5, -28, 7, 12, -34],\n [0, 0, 0, -16, -34, -4, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, -30, -3, 14, -24, 21, 17, -23, -33, 28, 22, -32],\n [0, 30, 0, -13, -17, 4, -20, 22, -18, 0, -12, -35],\n [0, 0, 26, 0, -18, -20, -19, -12, 32, -34, -26, 17],\n [0, 0, 0, 30, 17, 2... | 60 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, -17, -17, 23, 8, 23, -32, 29, -23, 31, -24, 19],\n [25, 5, 0, -34, -14, -14, 5, -22, -1, 14, -27, 23],\n [20, -26, -11, 9, -25, -27, -29, 35, -2, -16, -31, 19],\n [-21, 12, -32, -15, -27, 30, -1, 15, 1, -30, 15, 30],\n [-19, 29, -27, -23, 22, -6, -5, ... | 144 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[29, -31, 10, 10, 3, 6, 10, 18, -1, 6, 32, -13],\n [-31, 18, -18, -5, 6, 24, 20, 7, 8, 16, -32, 23],\n [10, -18, -14, 4, 6, -10, 7, 22, 10, 12, -3, -4],\n [10, -5, 4, 1, 4, 18, 5, 6, -12, 12, 2, -6],\n [3, 6, 6, 4, 29, 8, -19, 4, -5, 15, 3, -6],\n [6, 24, -10, 18, ... | 508 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -28, 31, -6, 16, -11, 16, 23, -6, 31, -32, 21],\n [0, -4, 15, 27, -35, -17, -1, 27, -10, -23, -13, -1],\n [0, 0, 31, 8, 25, -15, -29, -25, 9, -4, 0, 1],\n [0, 0, 0, -23, 17, -3, -4, 12, 32, 21, 26, -34],\n [0, 0, 0, 0, 31, -4, -11, 17, -11, -3, -5, 0],... | 240 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, -27, 22, -13, -33, 25, -27, 17, 32, 13, 34, 12],\n [-29, -5, 20, 25, -31, -6, -14, -19, -26, 35, 32, 6],\n [-9, -29, -13, -28, -28, -31, 35, -34, 15, 30, -24, 11],\n [19, -10, 9, 26, 34, -34, -10, -22, 21, -4, 26, -6],\n [-23, 4, -5, 1, 9, 23, -8, 25, -17, 7, ... | 144 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -21, 22, -13, 2, 5, -21, -33, -35, -25, 24, 29],\n [-32, -11, 7, 4, 8, 23, -13, 26, -13, 22, 19, -3],\n [27, 24, 25, 25, 33, -15, -33, 12, -26, 6, 30, 10],\n [-27, 13, -32, 24, -7,... | 536 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[35, -34, -26, -34, 24, 9, -28, 22, -29, -15, 11, -35],\n [-24, 12, -32, -2, -4, -33, 32, 21, -12, -3, -33, -32],\n [-6, 34, 13, -6, -20, 17, -30, -12, -8, -15, -28, 0],\n [-27, 4, 15, -35, 27, 32, -10, 4, -33, -27, -4, 31],\n [-32, -30, -10, -34, 30, -33, -1, 23, ... | 24 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, 7, -15, 20, 4, -30, -22, 10, -24, 22, -5, 12],\n [7, 10, -6, 4, 18, 2, 24, -22, -14, 4, 14, 8],\n [-15, -6, 14, 10, 6, 8, -12, 8, -2, 9, -6, 25],\n [20, 4, 10, 33, -2, 8, 20, 6, 12, -1, 1, 6],\n [4, 18, 6, -2, -9, 32, 18, 10, -20, 30, -10, -18],\n [-30, 2, 8,... | 184 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, -35, 7, -4, 27, -3, 30, -6, -26, -13, 3, 9],\n [-7, -6, -2, 16, -14, -31, -25, -4, -12, -25, -25, -19],\n [-4, -9, -4, 25, -11, 28, 28, -8, 4, -22, 6, 3],\n [-34, -35, -4, 28, -5, ... | 648 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, 26, -20, -23, -16, -12, 14, -29, -7, -31, -1, 29],\n [0, -29, 8, -23, 2, -23, 18, 8, -23, -11, -12, -7],\n [0, 0, -31, -18, 27, 1, 35, 19, -24, 16, 21, 10],\n [0, 0, 0, -24, -27, -14, -19, -3, 11, -21, -3, -21],\n [0, 0, 0, 0, -28, -30, 27, -34, -14, -15, -30... | 989 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[2, 11, 18, 19, 12, -21, 35, -20, 7, -29, 7, -8],\n [30, 24, -33, -35, -5, 20, 10, -4, -18, 32, -1, -13],\n [-23, -22, 1, -31, -14, -8, -32, 14, -7, 1, -1, -16],\n [-1, -34, 22, -18, 20, 28, 16, -14, 24, -26, -30, -30],\n [-8, 6, 5, 27, -14, -7, 35, -2, -34... | 408 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, -6, 0, -16, -30, -4, 8, 3, -16, -12, 5, 2],\n [-6, 10, 2, -15, 11, -18, 18, 6, 1, -10, -4, 26],\n [0, 2, 23, 27, -20, -30, -18, 8, 12, -29, -2, 20],\n [-16, -15, 27, -18, -10, -11, 2, -5, -3, 8, 0, -27],\n [-30, 11, -20, -10, -29, -18, 24, -9, 18, 18, ... | 624 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, 16, -29, 10, -3, -28, -31, 25, 24, -12, -29, 25],\n [0, -9, -7, -16, 34, -33, 3, 9, 32, -5, 2, -30],\n [-28, -8, -21, -28, 18, -30, -7, -2, -29, 4, -23, 26],\n [29, 5, 6, 30, -25, 14, 35, -1, -16, -8, 1, -33],\n [23, -9, -4, 12, 10, 11, 4, -33, -7, 22, 14, -26... | 520 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-33, -5, -21, 18, 17, 9, 2, 14, -12, -19, -18, 6],\n [-19, -20, 16, 0, 3, -11, 6, -15, 32, 23, -6, 21],\n [-3, 17, -20, 13, -31, 24, 35, 19, -1, 33, 6, 33],\n [-12, 35, 35, 19, -22, 19... | 296 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-34, -33, 16, 19, 17, 4, 3, 7, -23, 1, 19, -4],\n [0, 29, -9, -12, -14, 9, -28, 31, 28, 11, -15, -4],\n [0, 0, 5, 16, -25, -18, -25, -9, 7, 29, 18, -7],\n [0, 0, 0, 25, 26, 35, -31, -21, 21, -31, -16, -32],\n [0, 0, 0, 0, 32, -14, -22, 32, -28, 31, 10, -7... | 992 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 20, -21, -1, -9, -33, -15, 3, -4, 14, -27, 14],\n [0, -32, -32, -2, -9, -21, -4, 5, 35, 25, 27, 25],\n [0, 0, 29, -4, 5, -10, 12, -20, -5, 30, -4, -26],\n [0, 0, 0, -33, 26, 31, 19, -26, 19, -14, -22, -28],\n [0, 0, 0, 0, 18, 6, -17, 4, 33, -9, 7, 16],\n [0, ... | 728 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, 15, -17, -5, -14, -3, 1, -24, 33, 28, -11, 18],\n [0, -23, -10, -14, -26, 12, 6, 23, 17, 4, 26, -30],\n [0, 0, 33, -33, -29, -24, -19, 31, 34, 0, -19, -35],\n [0, 0, 0, 35, 7, -5, -12, 1, 29, 27, 20, -18],\n [0, 0, 0, 0, 20, 12, -17, -10, 2, -11, 20,... | 809 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-25, -16, -26, -16, -8, 4, 14, 32, 6, 0, -2, 4],\n [-16, 0, 16, 9, -5, 16, 7, 20, -10, 4, 6, 1],\n [-26, 16, -2, 15, -10, -16, 6, -24, 11, -9, -16, 13],\n [-16, 9, 15, -16, -10, 2, -7, 12, -8, 0, -6, -9],\n [-8, -5, -10, -10, -11, 3, 8, -22, 0, -5, -18, -... | 528 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, 13, -9, -8, -1, -18, -33, 0, -12, 11, 10, 9],\n [13, 15, -15, 16, -26, -26, 18, 6, -4, 24, -5, -3],\n [-9, -15, 18, -12, -8, -4, 12, 4, -10, -4, 20, 10],\n [-8, 16, -12, -5, -16, 20, -8, 18, 16, -5, 2, -7],\n [-1, -26, -8, -16, -16, 6, -17, 18, 14, 2, -20, 4],... | 80 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, -28, -24, 15, 30, 5, -14, -27, -25, -23, 20, -8],\n [28, 28, 34, 19, 1, -3, -11, -13, 24, 20, 27, -28],\n [-19, 21, 26, -25, 31, 4, 4, 20, 17, -8, 6, 10],\n [-18, -13, -10, -7, 16,... | 288 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, 32, 6, 30, 8, -8, 22, -34, 19, -2, -16, 11],\n [0, -35, 29, -21, -22, 19, -35, -3, 34, 20, -13, 18],\n [0, 0, -30, -11, -19, -8, -4, -13, -20, -10, -3, 22],\n [0, 0, 0, 26, -19, 23, -22, -15, 27, 10, 19, 26],\n [0, 0, 0, 0, -30, 23, 34, 3, 21, 18, 24, ... | 368 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, 34, 14, 23, 27, -11, -26, -35, -22, -15, 22, 2],\n [-35, -31, 8, 29, 21, 9, 24, 30, 11, -10, -27, 15],\n [-28, -31, 3, 32, 4, 0, -15, -10, 20, 21, 23, -29],\n [6, -23, -2, 17, 10, 21, 25... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, -4, -30, -34, 3, 13, -9, 20, -22, -13, 15, -11],\n [17, -25, -1, 19, 22, 32, 1, -27, -8, 19, 10, 34],\n [-9, -26, -13, -15, 9, -33, 23, 7, -29, -9, 26, 6],\n [-32, 26, -28, -19, -... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 35, 9, -34, 31, 7, -18, 3, -30, 6, 16, -9],\n [0, -17, 26, 28, 15, 11, 21, -16, -16, 28, 2, 2],\n [0, 0, 28, -9, -16, 24, 4, -30, 0, 29, -25, 13],\n [0, 0, 0, 30, -11, 31, -4, -19, ... | 1 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-35, -27, -9, 35, -33, 25, -34, -5, 29, -18, -30, 6],\n [0, -32, -32, 29, 5, 7, 19, -17, -15, 22, -6, -29],\n [0, 0, -34, 31, -27, -13, -22, 18, 9, -20, 21, -28],\n [0, 0, 0, -18, 14, 5, -2, -24, 6, 19, 23, 15],\n [0, 0, 0, 0, 23, -6, 31, 19, -2, 7, -8, 1]... | 544 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[35, 9, 11, 1, -28, -31, -13, -26, -9, -35, 35, -28],\n [0, -8, -2, 7, -8, 13, 25, 1, -33, -27, -34, -13],\n [0, 0, -11, -9, -16, 0, -8, -7, 6, 22, -4, -24],\n [0, 0, 0, -25, 14, -35, -9, -4,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, 15, 22, 3, 20, 21, 2, 2, 6, 20, 2, -4],\n [15, -29, 2, -14, 16, 12, 13, 2, -13, 3, 21, -16],\n [22, 2, 28, -9, 4, 0, -8, 0, -10, -10, -24, 9],\n [3, -14, -9, -23, 12, -8, 0, -14, 10, -1, 6, -22],\n [20, 16, 4, 12, -1, -5, 2, -18, 0, -19, 6, 2],\n [21, 1... | 144 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[32, -10, 34, 12, 33, 10, 22, 34, 31, -7, -26, 35],\n [0, 29, -19, -14, -22, -30, -6, 11, -16, -20, 32, -2],\n [0, 0, -28, -14, 32, -2, 24, 9, 1, -13, -12, -23],\n [0, 0, 0, 12, -10, -35, -32, 31, -23, 3, -5, -12],\n [0, 0, 0, 0, 9, -2, -25, 21, -7, -14, -3... | 206 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[25, -11, 18, -19, 12, -24, 25, -34, 29, 16, -2, 9],\n [0, 16, 31, 20, 22, 14, -11, -24, 29, 20, 14, -8],\n [0, 0, 28, 18, 0, 8, 8, 33, 17, -23, 8, -32],\n [0, 0, 0, -25, 18, 26, 23, 25, 4, -32, -9, -20],\n [0, 0, 0, 0, -30, 12, 33, -30, 25, 30, 17, -8],\n [0, 0, 0... | 20 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[32, 9, -27, 15, -22, 33, 20, -25, -6, 3, -12, 22],\n [0, -12, 31, -7, 6, 26, -9, -7, 30, 21, 25, -7],\n [0, 0, 8, -8, 1, -13, 33, 22, -4, 33, 0, -4],\n [0, 0, 0, -12, 31, 0, -22, 32, 8, 12, ... | 22 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, 5, -19, -4, -31, -27, -2, -35, 4, 18, -4, 14],\n [0, 26, -25, -13, -10, 27, 10, 33, -30, 15, 7, 6],\n [0, 0, -34, -22, -19, 4, 3, -11, 12, 13, -3, -9],\n [0, 0, 0, 2, 4, 22, 29, -25, -2... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[35, 35, 10, 11, 33, -22, 9, 16, 14, 29, 28, -13],\n [0, 34, 23, 18, 35, -10, 8, -23, 18, 4, -32, 17],\n [0, 0, 19, 30, -18, -7, 17, -3, -33, -16, -32, -28],\n [0, 0, 0, -2, 35, 13, 13, -9, 29, -3, 13, 27],\n [0, 0, 0, 0, 31, -27, -1, 35, -32, 1, -8, -27],... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, 18, -9, 5, 28, -14, -25, 1, -29, -8, -16, 21],\n [18, 1, -3, 11, 11, -8, -28, 2, 4, 6, -14, -10],\n [-9, -3, 14, -27, -26, 4, -14, 2, -16, 2, 4, -2],\n [5, 11, -27, 20, 8, -4, 9, -20, -28, -6, -12, 22],\n [28, 11, -26, 8, 15, -6, -24, -10, 20, 22, 5, 2],\n [-14... | 848 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 29, -15, -10, -1, 22, 6, -7, -7, -27, -34, -34],\n [-18, 33, 21, 35, -13, -17, -17, 22, 13, 9, -8, 14],\n [-25, 19, -27, -22, -15, 12, 22, 33, -27, 31, -18, -24],\n [-20, 1, -16, -16, -21, -11, -19, -24, 6, 3, 20, 17],\n [35, 11, -11, 14, -3, -7, -33, 3, -32,... | 792 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 0, -10, -6, -4, 11, 2, 34, -16, 7, 32, -1],\n [0, -19, 22, -20, 15, -8, 4, 11, 10, -19, 6, 16],\n [-10, 22, 15, 26, 22, 6, -8, 26, -1, -6, 0, -7],\n [-6, -20, 26, 10, 12, -28, 14, -... | 120 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -5, 25, -4, 28, -4, 5, 30, -19, 34, -3, 10],\n [-5, 12, -29, 8, -4, -2, -4, 5, 8, 12, 30, 29],\n [25, -29, -4, 15, -1, -4, -16, -2, 11, -14, 16, 26],\n [-4, 8, 15, 19, -3, -12, -10, 9, 8... | 128 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -20, -17, 1, 25, -10, 28, -23, -2, -13, -16, 18],\n [0, 23, -16, 3, -4, 5, 33, 32, -15, -12, -20, -4],\n [0, 0, -29, -20, 17, -32, 9, -4, 22, -23, -14, 8],\n [0, 0, 0, -24, -22, 0, 9, -12, -33, 15, 19, 2],\n [0, 0, 0, 0, 31, 6, 4, -27, -34, -8, -33, -20],\n [0,... | 218 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -14, 22, -25, 17, -27, 31, 16, -23, -35, 8, -12],\n [0, 30, -16, 28, -21, 32, 18, -25, -13, -35, 6, 11],\n [0, 0, -34, 9, -9, 25, -25, 33, -7, -11, 18, 12],\n [0, 0, 0, 25, -25, 8... | 14 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, 33, 21, -18, -20, 15, 4, 3, 20, 18, 8, 10],\n [0, 12, 25, 30, 2, 7, -32, -31, 22, 1, -10, -27],\n [0, 0, 27, 34, -9, 18, -5, -4, -34, -18, -8, 35],\n [0, 0, 0, -32, 16, 32, 21, -23, 29,... | 520 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[33, 18, -22, -21, -26, -14, -23, 29, -22, 8, 3, -1],\n [0, -9, 9, 21, -14, -2, -27, 14, 18, 22, 26, 2],\n [0, 0, -33, -25, -12, -7, 33, -28, -17, 32, 33, 12],\n [0, 0, 0, 28, -28, -31, -11, 17, 13, -15, 15, 10],\n [0, 0, 0, 0, 23, -28, 28, 18, -21, 16, 15, -32],\n... | 395 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, -15, -21, -24, 20, -20, -3, 7, 13, -18, -20, 4],\n [0, 26, -9, -22, 30, -9, 18, 24, 4, 9, 32, 32],\n [0, 0, 5, 25, 29, -35, -27, -21, 23, 30, -26, 13],\n [0, 0, 0, -14, 15, 6, -7, 9, -3, 3, 29, 14],\n [0, 0, 0, 0, 34, 19, 8, 14, 18, 27, -20, 11],\n [... | 841 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, -33, -17, 7, 31, -31, -7, -31, 9, 18, -12, -15],\n [0, -31, 26, -18, -1, -31, -27, -32, -3, -14, 23, -25],\n [0, 0, -33, -21, 1, 4, -19, -16, -32, -2, -2, 31],\n [0, 0, 0, 5, 23, ... | 5 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[33, -26, 14, -26, -20, 2, 31, -16, 33, 34, -11, 18],\n [-24, 29, 18, 31, -15, -31, 22, -32, -17, 19, 25, -12],\n [32, -17, -12, 18, -15, -17, 17, 14, -13, 1, -8, 35],\n [-15, -15, 5, -1, -35, 31, 34, -32, -35, -15, 16, 17],\n [20, 30, 31, -3, -13, -30, 11, 22, -31... | 952 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 28, -19, 15, 20, 12, 26, 20, -25, -16, 32, -2],\n [6, 5, 26, -19, -24, 32, 5, -22, -32, -22, -27, 7],\n [-16, -35, -19, -16, 23, -23, 11, 14, 4, -29, 19, 15],\n [-34, -22, -19, -35, -35, -10, 10, -23, -2, 26, 15, 5],\n [19, -8, 25, -29, -34, -34, -8, ... | 160 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 17, 8, 0, -2, 16, -30, 2, -3, 19, -13, 8],\n [0, 28, 12, 23, 23, 7, 7, -23, 7, -23, -1, -25],\n [0, 0, 14, 13, -23, 3, 19, -29, 7, 6, 22, -24],\n [0, 0, 0, -33, 26, -5, 1, -12, 32, 28, -... | 730 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, -30, -17, -16, 28, -9, -29, -12, -28, 31, -25, 30],\n [0, -29, -12, -24, 27, -23, 34, -12, 2, 35, -26, -6],\n [0, 0, -34, -28, -19, 12, 28, 25, -23, -15, -34, -13],\n [0, 0, 0, -34, 29, -10, -6, 2, -16, -11, 16, -26],\n [0, 0, 0, 0, 24, 25, -9, -35, -9, 24, 1... | 824 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, -8, -10, 9, -10, -24, 1, 12, -8, 24, 2, -2],\n [-8, -30, 12, -6, -6, -12, 4, -14, -10, -2, 8, 18],\n [-10, 12, -6, -8, 9, 0, -6, 17, -2, 3, -16, 1],\n [9, -6, -8, 26, -20, 2, -6, -6, 31,... | 976 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, 20, 34, -6, 19, -8, 15, -9, 16, -2, -4, 8],\n [-32, 12, -20, 24, 11, -21, 20, -20, -35, -11, 28, 7],\n [-22, 12, 32, -22, -21, -19, 16, -26, -19, -28, -34, 20],\n [29, 19, 33, 0, -27, -22, -14, -20, 5, 31, -8, -7],\n [29, -8, -4, 16, -25, -10, -5, -16, 33, 5, ... | 256 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, 16, -10, -14, -16, -20, 21, -4, -16, -12, 17, 4],\n [16, -27, 3, -17, -16, -2, 14, 6, 22, 28, 22, -4],\n [-10, 3, -14, -12, 26, 4, 0, 16, 30, -12, 0, -6],\n [-14, -17, -12, -27, -... | 920 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 2, -18, -34, 18, -6, -32, -29, 21, -6, 8, -7],\n [0, 12, -17, 27, -34, -22, -1, -15, -19, -4, -13, -30],\n [-7, 27, 34, -32, 22, -5, -14, -9, -20, -30, -29, -22],\n [-33, 13, 0, -7... | 136 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[21, -11, -8, 4, -13, -28, -23, 8, 11, -26, 5, 31],\n [0, 28, -21, 25, 16, 10, 23, 12, 3, 6, 15, 14],\n [0, 0, 22, -32, 13, -33, -4, 11, 26, -20, 32, -18],\n [0, 0, 0, 27, 23, -2, 1, -2, 9, -... | 988 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -8, 7, 27, -19, 0, -17, -31, -13, -17, -35, -9],\n [7, -11, 18, -30, -11, 10, 23, 19, -12, -12, -33, 4],\n [-16, 33, 34, 30, 33, -28, 19, 1, -22, 12, 31, -4],\n [0, -31, -18, -25, -32, -16, -31, 27, 18, 29, -23, -33],\n [-34, -24, 20, 22, 16, -21, -35... | 648 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -17, -25, 16, -4, -7, 0, 11, 7, 16, 17, 32],\n [-31, 12, -12, -35, -34, -26, 27, 23, -30, 12, 0, 12],\n [-7, 5, -4, -31, -19, -12, -30, -8, -16, -17, -28, -18],\n [1, 25, 9, 2, -34, 19, -21, 23, -31, -16, -24, 21],\n [32, -17, -9, 17, 6, 9, 32, 32, -12... | 736 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, 6, -7, 11, -6, -22, 23, 28, 8, -22, -11, 8],\n [25, -34, 7, -27, 25, 31, -12, 29, 2, 34, -31, 32],\n [31, -6, 26, -29, 15, -4, -10, 7, 26, -5, -13, 28],\n [19, -20, -27, -32, 3, 8,... | 392 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, -1, -1, 23, -23, -14, 20, -31, 7, 19, -21, 6],\n [0, 35, 21, -26, 28, 5, -23, -20, 24, -5, 19, 35],\n [0, 0, 19, 30, 23, 5, 30, 11, -9, -15, -25, -14],\n [0, 0, 0, 34, -8, -11, -35, -4, -7, -16, 10, 21],\n [0, 0, 0, 0, -5, -21, 24, 3, -15, -28, 6, 23],... | 2 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, 6, 13, -23, 32, -22, 0, 20, 33, 10, -21, -28],\n [0, -25, 35, -13, 9, -9, -5, 11, 30, 25, -28, 29],\n [0, 0, -6, -12, 16, 27, 25, 22, -4, -1, -20, -27],\n [0, 0, 0, 10, -33, -10, 3... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 28, 1, -6, -8, -7, -2, -13, -2, 10, -16, 4],\n [28, 5, -16, 26, 8, -22, -20, -18, -24, 6, 8, -15],\n [1, -16, -6, -17, 18, 8, -6, 0, -6, 12, 2, 15],\n [-6, 26, -17, -34, -18, 22, -10, 6, -12, 2, 24, 8],\n [-8, 8, 18, -18, 33, 0, 4, 18, -26, 0, 6, 3],\n... | 736 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -29, 24, 12, -26, 5, -17, 26, 30, -28, -6, 0],\n [0, -34, -31, 10, 4, 21, -25, 2, -19, -10, 3, 31],\n [0, 0, 10, 5, 14, 8, -26, -34, -15, -11, 33, -14],\n [0, 0, 0, -31, -30, -20, 10, -12, -22, -12, -13, 3],\n [0, 0, 0, 0, 23, 33, 6, 23, -1, 5, 31, 29... | 999 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, 33, 1, -11, 32, -12, 0, -34, -1, -28, -8, 24],\n [18, 8, -26, -31, 11, -5, -7, -33, -10, -34, 20, -22],\n [-21, 9, 11, -16, -18, 25, -31, 22, 24, -23, 4, 31],\n [16, -34, 17, 31, -25, -25, -26, -8, -25, -29, -7, 29],\n [16, -21, -29, 32, 19, -33, -16... | 760 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, 4, 22, 26, 18, -27, 15, -26, 13, -6, -27, 10],\n [0, 28, -2, -9, -9, 5, -18, 14, 7, 5, -18, 25],\n [0, 0, -23, -10, 20, 25, 14, -15, -28, 34, 28, 14],\n [0, 0, 0, -14, 10, 25, -1,... | 208 | MATH |
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