messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Determine the value of det(A) where A =\n[[-11, -8, -29, 13, 21, -8, -21, 30, 19, 25],\n [0, 14, 29, -20, 20, -19, 5, 30, 2, -18],\n [0, 0, 8, -24, -26, -24, 4, 25, -15, 25],\n [0, 0, 0, 25, 4, -14, -21, -5, 11, 7],\n [0, 0, 0, 0, 21, 15, 29, -23, 27, -16],\n [0, 0, 0, 0, 0, -9, 26, 0, -18, 17],\n... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, 0, -3, -6, -8, 0, 6, 0, -16, 11],\n [0, 10, 9, 10, -10, 8, -11, 23, 6, 6],\n [-3, 9, -14, -18, 6, 8, 12, -6, 13, 24],\n [-6, 10, -18, -22, 16, -20, -5, -23, 5, 23],\n [-8, -10, 6, 16, -10, -6, 10, 12, -12, 16],\n [0, 8, 8, -20, -6, 16, 10, -10, 22, 19... | 197 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, 20, 22, -5, 8, -14, 2, -20, -11, 6],\n [20, 11, 4, -6, 21, 1, -14, -8, -8, -18],\n [22, 4, 5, -24, -8, 24, -6, 6, 10, 0],\n [-5, -6, -24, 16, 18, -15, 26, -16, -24, 18],\n [8, 21, ... | 718 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -6, -28, -27, -29, -23, -1, -18, -28, 20],\n [0, -3, -20, 0, -17, 7, -6, 12, 17, 9],\n [0, 0, -19, -21, -18, 27, -30, -8, 3, 9],\n [0, 0, 0, -11, -13, -9, 9, 11, -1, 16],\n [0, 0, 0, 0, -28, 1, 14, 2, -23, -8],\n [0, 0, 0, 0, 0, -18, 26, 24, -20, 25],\... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, -22, -14, 13, -4, 7, 18, 9, -10, 16],\n [-22, -14, -11, 20, -24, -26, 6, 0, -20, -25],\n [-14, -11, -4, -14, -14, -6, 6, 0, 2, 18],\n [13, 20, -14, 7, -3, 0, 23, 21, 21, 6],\n [-4, -24, -14, -3, 25, 2, 10, 4, -12, -10],\n [7, -26, -6, 0, 2, -27, 14, 2, 12, 10]... | 578 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[20, -3, 26, -17, 6, -29, 3, 30, 29, 2],\n [4, -27, -28, -15, 23, 24, -27, -30, -2, 3],\n [-16, -28, 1, 20, -9, -22, -1, -1, -7, 1],\n [-12, -1, 29, 3, -10, 27, 24, 23, 20, -30],\n [-18, -5, 28, 15, -20, 12, 19, -30, 10, -19],\n [12, 24, 11, -18, 25, 21, 13, 22, 12... | 934 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, 25, -10, 2, 8, 8, 1, 26, -12, -7],\n [0, -25, -10, 16, 22, -27, 27, -19, -16, -3],\n [0, 0, -10, 27, -14, 6, 8, 19, -5, 29],\n [0, 0, 0, 1, 13, -29, 30, 1, 16, -29],\n [0, 0, 0, 0, 12, 0, 15, 17, 19, 24],\n [0, 0, 0, 0, 0, 20, -15, 14, 17, 6],\n [0, 0,... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[21, -9, 4, -15, 4, -18, -21, -28, 9, -14],\n [0, -29, 27, -16, -27, 20, -14, 8, -15, -12],\n [0, 0, -29, -5, 18, -4, 13, -1, 12, 20],\n [0, 0, 0, -24, -20, -30, -23, -17, 11, 7],\n [0,... | 296 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -9, 20, 10, 4, 6, -10, 16, 26, 2],\n [-9, 20, 14, -18, -11, 6, 5, 15, -2, -8],\n [20, 14, 19, -1, -10, -15, 8, 12, 1, -16],\n [10, -18, -1, -7, 4, 4, 15, -18, 8, -6],\n [4, -11, -10, 4, -14, -20, 10, 10, -13, -12],\n [6, 6, -15, 4, -20, -4, -12, 0, -1,... | 576 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -4, 5, 23, 5, 25, -20, 8, 25, 2],\n [1, 14, 27, 25, -2, 9, -7, 19, 27, -6],\n [-17, -28, -1, 4, -5, -13, -18, -14, -17, 3],\n [-5, -2, 25, -18, 3, 27, -30, -10, 4, 15],\n [30, 13, 2, -7, -19, -8, 5, 6, 16, -21],\n [-27, 17, -14, 20, -2, 1, -23, -29, 8, 27],\n ... | 436 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[23, -26, -16, -25, -19, 29, 17, 22, -5, 2],\n [-27, -10, -24, -2, 7, 8, 26, -20, -8, 18],\n [23, -17, -10, 20, -2, 14, -28, 28, -29, -20],\n [-18, 15, -16, 30, 2, 8, -6, 0, 20, 11],\n [-10, 20, 7, 25, 14, -3, -10, -26, -7, -14],\n [23, 26, 29, 19, -17, -1, 6, -12,... | 231 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, 2, -2, 20, -6, 1, -6, -3, -10, -3],\n [2, 0, -6, -10, -18, -2, 8, 10, 4, 18],\n [-2, -6, 28, -6, -15, 24, 14, -12, -2, -17],\n [20, -10, -6, 16, 16, -4, 5, -2, -6, -3],\n [-6, -18, -15, 16, 27, 20, -1, -25, 12, -10],\n [1, -2, 24, -4, 20, -28, 20, 14, 20, -2]... | 137 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -14, 14, -23, 17, 23, 4, -10, 11, -24],\n [0, 4, -10, 2, 28, -7, 19, -19, 13, -10],\n [0, 0, 29, 7, 29, 7, -8, 11, 26, 30],\n [0, 0, 0, -26, 21, -3, -14, -22, 8, -11],\n [0, 0, 0, 0, 11,... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -5, 27, 15, 12, 19, 7, -30, -3, 14],\n [-22, 11, 20, -30, 2, -2, 14, -7, -2, -22],\n [9, 24, 30, -16, 1, 22, -10, -14, -13, -22],\n [17, -2, -2, -4, 28, 7, 23, 7, 23, 10],\n [-7, 2... | 326 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, 15, 30, -2, -2, -30, -7, -21, -6, -9],\n [20, -13, -30, -25, 7, 30, 28, 25, -8, 24],\n [-13, 14, 2, 4, 7, -16, -11, 27, 29, 2],\n [-19, -8, -19, -7, -10, 1, -28, -21, -9, -23],\n [-5, 17, -13, 20, 30, -10, 5, -20, -24, 0],\n [-22, 8, -5, -12, 2, -29, 2... | 494 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 15, 17, -11, 20, 22, -10, -17, 28, -23],\n [0, -7, -8, 17, 14, 11, -3, -26, 29, 21],\n [0, 0, -21, -8, -22, 11, 29, -14, 6, 14],\n [0, 0, 0, -25, 17, 1, -30, -23, -12, -24],\n [0,... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[23, 5, -27, 11, -25, 9, 25, 6, 21, 17],\n [0, 26, 12, -24, 9, -1, 21, 23, -1, -30],\n [0, 0, 19, -30, -8, -6, 2, -22, 20, -5],\n [0, 0, 0, -8, -5, -25, -1, -20, 3, 21],\n [0, 0, 0, 0, ... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 10, 29, -26, -5, -26, -18, -28, -1, -9],\n [0, 12, -23, 4, -16, -4, 18, -14, 21, -17],\n [27, 1, 0, 23, -12, -20, 29, -6, 14, 7],\n [23, 25, 17, -16, 30, 11, 9, -17, 9, -20],\n [-14, -21, 12, -18, 1, -12, -16, -26, -16, -26],\n [-30, -23, 7, 8, 28, 16... | 218 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-19, 10, -7, 16, -12, 10, 12, 8, 29, 7],\n [10, 13, 1, -1, 10, -2, 12, 4, -1, -1],\n [-7, 1, 18, -10, 11, -16, -4, -28, -12, -14],\n [16, -1, -10, -12, 6, 14, 16, 1, 8, 0],\n [-12, 10, 11, 6, -15, 1, 4, 10, 3, 16],\n [10, -2, -16, 14, 1, -29, 14, -16, 6, 0],\n [12... | 250 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-27, 16, -2, -1, 8, 11, -22, 1, -25, 1],\n [0, -15, -8, 6, -10, 22, -27, -4, -27, -9],\n [0, 0, 20, 11, -24, 6, -30, 1, -30, 25],\n [0, 0, 0, -8, -15, -27, -17, 19, -28, 1],\n [0, 0, 0, 0, 2, -16, -2, -16, 30, -27],\n [0, 0, 0, 0, 0, -8, -22, -7, -6, -2],\... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, 13, 12, -24, -2, -12, 2, 4, 4, 16],\n [13, 30, 18, -12, 19, 6, 12, -22, -29, -13],\n [12, 18, 25, -2, 11, -27, 6, 18, 8, 0],\n [-24, -12, -2, -13, 2, 4, 14, 24, -21, 10],\n [-2, 19, 11,... | 309 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -21, 0, 22, 1, -8, 19, -21, 24, -30],\n [0, 15, -26, 20, 22, 7, -5, 13, -4, -30],\n [13, 10, 30, 1, -19, -2, -30, -19, -9, -16],\n [22, 29, 8, 26, -10, -28, -11, 22, 19, -3],\n [6, 9, 20, 14, 26, -24, 1, 19, -17, -4],\n [-11, -14, 11, 7, -13, -29, 20, ... | 588 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 19, 4, -4, 1, 7, -2, 12, -4, 24],\n [19, 30, -1, 22, 18, 8, -14, -3, 0, -8],\n [4, -1, -22, -4, 28, 3, -6, -8, -2, -12],\n [-4, 22, -4, -15, 3, 4, 2, -14, 17, -18],\n [1, 18, 28, 3, 10, 4, -27, -23, 12, 16],\n [7, 8, 3, 4, 4, 30, 0, -14, -16, 19],\n [... | 874 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 23, 7, -8, -30, -29, -27, -12, 4, 17],\n [0, 19, -14, 22, -8, 8, 6, -18, -17, 27],\n [0, 0, -18, 19, 7, 16, -11, 18, 17, 11],\n [0, 0, 0, 7, 17, -3, -15, 4, -6, 21],\n [0, 0, 0, 0, 7, 2... | 760 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 8, -3, -16, 29, -9, 17, -21, 16, -18],\n [0, 17, -29, -27, 29, 15, 13, -22, 15, -13],\n [0, 0, 6, 2, 21, 18, -6, -8, -27, -25],\n [0, 0, 0, 20, -16, 19, -8, 6, -3, -11],\n [0, 0, 0, 0, 12, -13, -10, -30, 25, 11],\n [0, 0, 0, 0, 0, 24, -5, -18, 5, -11]... | 680 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 14, -2, -10, -19, -10, -10, 0, -18, -10],\n [14, -27, 12, -6, -2, 3, 3, -8, -17, -24],\n [-2, 12, 13, 19, 4, 12, 0, -18, -4, 10],\n [-10, -6, 19, -28, 20, 12, 0, -6, -6, -13],\n [-19, -2... | 712 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-23, -2, -7, -6, -6, -7, -10, 20, -7, -21],\n [-2, 7, -6, 18, 0, -26, 2, 8, -2, 20],\n [-7, -6, 0, -2, -16, -16, 7, 6, -20, 10],\n [-6, 18, -2, 13, -4, -12, 1, 12, 10, -8],\n [-6, 0, -16, -4, 0, -1, -4, 8, 12, 14],\n [-7, -26, -16, -12, -1, -20, 18, -17, 14, -4],\... | 198 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -4, -14, 0, 17, 0, -12, -20, -17, -3],\n [-4, -21, 16, -25, -9, 6, 11, -12, -2, -12],\n [-14, 16, -24, 16, 18, -1, -10, -8, 12, 1],\n [0, -25, 16, -24, -4, -5, 0, 16, 7, -6],\n [17, -9, 18, -4, -25, -4, -5, 4, -9, 7],\n [0, 6, -1, -5, -4, 5, -18, 6, -... | 551 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-26, -1, 2, 13, 10, -14, 9, 28, -19, 2],\n [0, -4, 13, -13, -12, 24, -6, -3, -1, 3],\n [0, 0, 19, -23, 8, -20, 7, -5, 21, -18],\n [0, 0, 0, -12, 7, -27, 17, -3, -13, -24],\n [0, 0, 0, 0, -29, 7, 10, 6, -15, -23],\n [0, 0, 0, 0, 0, -9, -8, 30, 2, -11],\n [... | 296 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-20, 10, -14, 19, -12, -26, 13, -3, 17, 7],\n [0, -2, 13, 22, -23, -3, -8, -24, -10, -13],\n [0, 0, 28, -14, 25, -4, 25, -15, -18, 2],\n [0, 0, 0, 28, 5, 10, -15, 6, -6, 13],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, 22, 8, 6, -26, -16, -11, 13, 4, 0],\n [22, -28, -8, 2, 16, -15, -4, -14, 11, -18],\n [8, -8, 26, -20, -23, 2, 7, 20, -15, -12],\n [6, 2, -20, -12, 19, -11, -13, -11, -14, -10],\n [... | 238 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-29, -16, 0, 0, -9, 25, 10, -11, 1, 9],\n [-16, -20, 10, 16, -16, 14, 1, 16, -4, -1],\n [0, 10, -30, -10, -10, 15, 3, -19, -1, -12],\n [0, 16, -10, -19, -2, 12, -6, 6, 0, -4],\n [-9, -16, -10, -2, 0, -8, -22, -17, 9, -2],\n [25, 14, 15, 12, -8, -8, -2, -2,... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, 3, 4, -28, 6, 13, -8, 10, 23, -13],\n [3, 21, -5, -4, -14, 6, 21, 14, 1, -10],\n [4, -5, -10, -5, 6, -3, -3, 10, -3, -6],\n [-28, -4, -5, -9, -9, 6, 0, 6, 23, 12],\n [6, -14, 6, -9, 2, -... | 422 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, 24, -4, 22, -20, 7, 2, -4, 8, -1],\n [24, 7, 4, -21, 20, -18, -12, 12, -15, 4],\n [-4, 4, 18, -2, -2, -1, -28, 20, 8, 18],\n [22, -21, -2, -13, 20, 2, 8, 30, -2, -10],\n [-20, 20, -2, 20, 0, -13, 2, -10, 8, -28],\n [7, -18, -1, 2, -13, -18, -10, -11, -10, -16]... | 300 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, 8, -25, -18, -10, 23, -11, -19, 9, -1],\n [0, 25, -7, 3, 19, 11, 24, -24, 18, 3],\n [0, 0, -16, -24, 25, 16, -9, 28, 13, 24],\n [0, 0, 0, 18, 29, -25, 10, 15, 12, -14],\n [0, 0, 0, 0, 10, 30, -20, 14, 6, 24],\n [0, 0, 0, 0, 0, -11, -24, 0, 9, 16],\n [... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 18, -17, 6, 6, 8, 15, -16, 20, -30],\n [0, -17, -20, -17, -1, 3, 9, 9, -10, -29],\n [0, 0, 3, 22, -23, -24, 12, 27, 11, 16],\n [0, 0, 0, 28, 6, -17, -16, -19, 28, 9],\n [0, 0, 0, ... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-23, -12, -12, 4, -7, -2, -6, -4, -14, 16],\n [-12, 24, 12, -21, 0, -4, -14, 0, -1, 6],\n [-12, 12, -30, -17, 24, 16, -4, 2, 4, 6],\n [4, -21, -17, 2, 12, -12, 7, -2, -18, 16],\n [-7, ... | 824 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, -14, 8, -22, -18, -2, -7, 6, -1, -29],\n [0, -14, 0, -1, -17, -5, 27, 28, 19, -3],\n [0, 0, 28, -19, -16, -7, -24, 19, -19, 19],\n [0, 0, 0, 28, -28, -29, 22, 1, 21, -7],\n [0, 0, 0, 0, -4, 4, -6, 4, 3, -10],\n [0, 0, 0, 0, 0, 5, 19, 13, 23, -23],\n ... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, 29, 26, -22, 6, -11, 23, 15, 23, -23],\n [-28, -24, -21, 8, 22, -15, 26, 19, 19, 27],\n [29, 21, -30, -8, 8, 24, 5, -2, -22, -4],\n [9, -19, 4, -5, 7, -10, -28, 18, 14, -22],\n [4, 10, -3, 30, 0, 23, -21, -5, -22, -2],\n [-21, 13, -8, 5, -7, 5, -13, -9... | 884 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 15, -7, 20, -22, 6, -2, 13, 9, -12],\n [0, -22, 10, -8, -29, -30, -26, -19, 19, 7],\n [0, 0, -13, 24, -12, 1, 29, -26, 7, -7],\n [0, 0, 0, 16, 23, 18, 15, -1, -19, -28],\n [0, 0, 0, 0, -24, -19, -9, 18, -15, 13],\n [0, 0, 0, 0, 0, 3, -28, 19, -4, -2],\... | 784 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 24, -17, 15, 5, 25, 3, -27, -26, 19],\n [0, 14, -19, -6, -27, -21, 11, 14, 2, 5],\n [0, 0, 27, 25, -30, 28, -14, -23, 17, 22],\n [0, 0, 0, -2, 13, 10, 5, 20, 2, -13],\n [0, 0, 0, 0, 16, ... | 408 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, -27, 21, -29, -2, -7, 8, -17, -16, -5],\n [6, -2, 27, 12, -9, 6, 5, 5, -19, -15],\n [-17, -1, 28, -19, 1, 11, 6, -11, 29, -15],\n [6, 26, 27, 8, -1, 25, -30, 13, 2, 5],\n [19, 24, 10, -16, 11, 3, -16, -29, -10, 3],\n [25, -23, 18, 13, 16, 20, -24, -28... | 916 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 4, -6, 9, 28, -15, 17, -24, -14, 13],\n [21, 25, -20, 25, -22, -25, -27, -15, -15, 7],\n [13, -17, 27, -6, -4, 5, -7, 11, 10, -14],\n [-20, 30, -18, -13, 6, 22, -24, 23, 3, -4],\n [-20, -26, -3, -8, -7, 19, -4, 11, -25, -20],\n [-19, -11, -10, 29, 29, ... | 341 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-24, -18, 18, 9, 22, -13, -4, -20, -18, 28],\n [23, -1, 30, -15, -14, 14, 29, -7, 11, 7],\n [2, -8, -21, -11, 15, -11, 22, 29, 7, -17],\n [28, -18, -5, 13, 5, 6, -10, 8, -15, 29],\n [6, -1, ... | 293 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, -4, -8, 8, 4, 6, 1, -16, -22, 21],\n [-4, -27, 8, 16, 12, 0, 16, 10, 3, 8],\n [-8, 8, 9, -18, -4, 0, 14, -10, 12, 12],\n [8, 16, -18, 16, 6, -24, -13, -4, -12, 6],\n [4, 12, -4, 6, -17, 17, -16, -16, 4, 12],\n [6, 0, 0, -24, 17, 26, -20, 0, 14, 1],\n [... | 580 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, 4, 8, 0, -26, -12, 18, 16, 5, -16],\n [4, 20, 4, 16, -4, 5, 9, 8, -10, 0],\n [8, 4, -30, -4, -22, -2, 9, -28, -6, -2],\n [0, 16, -4, -20, -16, 6, -8, -8, -4, 18],\n [-26, -4, -22,... | 415 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-13, 0, 24, 3, 5, -21, -2, -6, 9, 8],\n [0, -21, 25, -14, 18, 0, -22, 6, 6, 19],\n [24, 25, 10, -6, -16, 9, -4, -2, -10, 2],\n [3, -14, -6, -30, 7, -18, -14, 15, -13, -2],\n [5, 18, -16, 7, 16, 8, 4, 5, -4, 16],\n [-21, 0, 9, -18, 8, -22, -6, 12, -4, -6],\n [-2, -... | 16 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, -2, -12, 2, 26, 12, 13, -9, 17, 6],\n [-2, 8, -26, -20, -6, -14, 6, -14, -8, -12],\n [-12, -26, 8, 26, -14, -17, 9, -18, -24, -4],\n [2, -20, 26, 11, -24, -14, -22, -12, -3, -20],\n [26, -6, -14, -24, 29, -16, 23, -18, 6, 15],\n [12, -14, -17, -14, -1... | 767 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, -1, -2, 8, 0, -22, -4, -4, 22, 6],\n [-1, 27, -4, -2, 0, -4, 20, -24, -14, -16],\n [-2, -4, 6, -24, -1, -14, -2, -6, 0, -22],\n [8, -2, -24, 20, -16, -20, -19, -14, 1, -22],\n [0, 0, -1, -16, 19, -12, -4, 7, 2, 3],\n [-22, -4, -14, -20, -12, -19, 0, 8,... | 52 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -8, -7, 22, 21, 4, -3, 6, -8, -12],\n [-8, -23, -12, 9, 16, -16, -7, 4, 10, 4],\n [-7, -12, -22, 8, 0, -3, 4, 16, 30, 3],\n [22, 9, 8, 17, 0, -20, 4, -1, 8, 2],\n [21, 16, 0, 0, 23, 16, -... | 914 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[20, -6, -8, 7, -7, -10, -12, 24, -8, 12],\n [-6, -27, -16, -2, 6, 0, -14, -18, 12, -8],\n [-8, -16, -9, 6, 11, 16, 4, -2, -14, 8],\n [7, -2, 6, -17, 8, -10, -26, -2, -4, 3],\n [-7, 6, 11, 8,... | 779 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -6, 8, 26, -29, 1, 8, 14, -26, -10],\n [0, -14, 25, -12, 27, -7, 19, -29, -19, -19],\n [0, 0, 10, 16, 21, -20, -11, -15, -30, -22],\n [0, 0, 0, 24, 28, -22, 10, -18, 6, 9],\n [0, 0, 0, 0, 25, 10, 13, -10, -18, -8],\n [0, 0, 0, 0, 0, -23, 27, -15, -21,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, -18, -7, 7, -29, -8, -30, -16, 27, -23],\n [-28, 20, -5, -5, -23, 13, 21, 19, 8, 9],\n [4, -20, 17, -24, -27, 18, 11, -12, 20, 28],\n [13, 21, 25, 13, -15, 7, 27, 9, -4, -15],\n [10, -30, -25, 27, 27, 25, -30, -3, 12, 26],\n [14, -14, 0, -8, -11, 21, -25, 19, ... | 482 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -15, -16, 25, 7, -3, 17, -7, 17, -24],\n [11, -25, 13, 24, 19, 16, -29, 25, 11, 8],\n [-24, 22, 2, 11, -26, 22, 25, 28, 10, -5],\n [24, 14, -21, -9, -2, -2, -5, 3, 1, -2],\n [11, 24, 25, ... | 216 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-19, 16, -7, 8, 24, -27, 27, 0, -11, -25],\n [0, 19, -16, -7, -8, -22, -28, -19, -6, 21],\n [0, 0, 8, -1, 27, -20, -27, 8, -9, 26],\n [0, 0, 0, -4, 21, 24, -27, 26, -9, 14],\n [0, 0, 0, 0, 6... | 264 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, 13, 13, -18, -9, 17, -29, -27, -12, 11],\n [8, -29, -30, -22, -11, 25, -6, -11, -21, -3],\n [27, -29, 4, 15, 7, -20, -19, 23, -3, 2],\n [3, -8, -18, -3, -29, -4, -2, 21, 4, -29],\n... | 197 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[24, 4, -7, 24, -28, 29, -7, -7, -11, -6],\n [4, -30, -15, 18, 5, -21, -23, 26, 25, -24],\n [26, 20, 14, 14, -30, 15, -11, 19, 26, -5],\n [1, -26, 21, -8, -9, -30, -29, -20, -25, -19],\n [5, ... | 746 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, -4, 25, 18, -20, 4, -10, -2, 18, -9],\n [0, 11, 0, -8, 3, -25, -5, -30, -27, -26],\n [0, 0, -8, 29, -10, -11, 17, -7, 18, 26],\n [0, 0, 0, -21, -9, -8, -21, -1, 18, 0],\n [0, 0, 0... | 840 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 2, 23, 11, -25, -15, -18, 26, 16, 6],\n [-13, -24, -8, -16, -1, 21, 30, 25, -25, -19],\n [-4, -3, -6, 14, 22, 25, -17, 4, 28, -12],\n [-8, 14, -13, -28, -14, -4, 9, -12, 11, 0],\n... | 967 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, 18, 0, -16, 16, -7, -16, 8, -5, 25],\n [18, 25, 2, -17, 2, 14, 7, 0, 0, -12],\n [0, 2, 22, 29, 10, -21, 5, 2, -14, -3],\n [-16, -17, 29, 4, -14, -12, 14, -1, -6, -16],\n [16, 2, 10, -14... | 529 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, 4, -8, 5, 28, -3, -13, 26, 12, 23],\n [0, 13, 29, -9, -22, -21, -30, 26, -12, 9],\n [0, 0, -1, -14, -28, 23, 18, -27, 8, 10],\n [0, 0, 0, 12, -30, 1, -14, 24, -3, 1],\n [0, 0, 0, ... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, 25, 1, 4, 6, 2, 10, 8, -15, 14],\n [25, -7, -16, -4, 7, 20, 8, -16, -15, -20],\n [1, -16, 9, 14, -22, 5, -16, 10, 0, 6],\n [4, -4, 14, 13, 1, -20, 8, -16, 22, -25],\n [6, 7, -22, 1, 30, -4, 11, -2, 14, 17],\n [2, 20, 5, -20, -4, -5, 23, 3, -4, 2],\n [10, 8, -1... | 112 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[25, 8, 21, 0, 3, -2, 2, -8, 17, -18],\n [8, -1, -4, 2, -14, 12, -22, -12, -8, -2],\n [21, -4, -13, -11, -2, -9, -6, -22, -18, 20],\n [0, 2, -11, 21, 29, 13, 6, 4, 8, 17],\n [3, -14, -2... | 138 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, 4, 11, -1, -26, 25, 14, 0, -2, 1],\n [0, 26, -3, 13, -25, 10, -2, -28, 29, 11],\n [0, 0, -27, -9, 6, -21, 10, 10, 18, -20],\n [0, 0, 0, -4, 14, 10, -22, 8, 16, -24],\n [0, 0, 0, 0, -7, 10, 10, 19, 8, -2],\n [0, 0, 0, 0, 0, 10, -2, 9, -26, 9],\n [0, 0,... | 760 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, 24, 16, -4, -23, 25, 20, -17, 5, 30],\n [0, 10, -17, 9, 30, -2, -14, 6, 14, -2],\n [0, 0, 29, 30, -19, -3, -6, -19, -20, -13],\n [0, 0, 0, -26, -22, 15, -12, 24, 27, -25],\n [0, 0, 0, 0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, 27, -10, 19, -24, -15, -24, -27, 0, -2],\n [3, -20, 18, 14, -28, 25, 30, 1, 27, -17],\n [-25, 24, -7, 10, -29, -23, -11, 7, -14, -29],\n [-4, -18, -28, -8, -10, 4, -30, -26, -12, -20],\n [-17, 28, -25, 13, 15, 30, 14, 25, 12, 8],\n [-1, -17, -11, 7, 13, 16, 25,... | 221 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 13, 30, -16, 24, -13, 24, -20, 20, -11],\n [11, 26, 12, -25, -22, -9, 22, 7, 9, 29],\n [22, 26, 22, 25, -7, 6, 21, 22, -28, 16],\n [23, 16, -29, 28, -6, -13, -20, -9, 24, -11],\n [2, -9, 18, -10, 6, -22, 27, -9, 27, -21],\n [10, 22, 9, 29, 1, -11, 30,... | 447 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, -16, 6, 14, -23, -15, -11, -9, -20, -19],\n [-27, 0, -19, 27, 3, 30, 0, -7, -16, -4],\n [0, 12, -22, -4, 0, -28, 1, -24, 8, -30],\n [-21, 12, 18, 13, -12, -8, 27, 6, 23, -23],\n [26, -14, 19, 22, 8, 20, -2, -25, -3, 26],\n [-25, 14, -4, 15, 2, -2, -18, 23, 20,... | 995 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -25, 5, 20, 24, -15, 23, -23, 29, -5],\n [0, 18, 1, 12, 6, 21, 8, -9, 20, -15],\n [0, 0, 11, 1, 17, 13, -1, 14, -5, -26],\n [0, 0, 0, 16, 18, 26, -20, 30, -27, -11],\n [0, 0, 0, 0, 21, -26, 2, -5, -13, 23],\n [0, 0, 0, 0, 0, 20, 29, -17, 0, 9],\n [0, 0... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, 8, -27, 24, 8, 2, -2, -14, 12, 14],\n [8, -17, 14, 26, -27, -16, 0, -18, -8, -10],\n [-27, 14, 12, 2, -18, -10, 0, 21, 10, 8],\n [24, 26, 2, -22, -8, 15, 26, 10, -6, -6],\n [8, -2... | 813 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-20, -9, -17, 21, -6, -28, 20, -18, -14, -17],\n [7, -1, 0, -18, -21, -23, 9, 29, -25, 19],\n [4, -12, 8, 20, -30, 14, 28, -2, -28, -1],\n [19, 15, 30, 13, -1, 16, 22, -30, -24, 14],\n [30, -7, -21, -27, -16, -28, -15, 2, -22, -29],\n [-26, -12, 8, -27, 8... | 586 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 21, 1, 0, 23, 25, 10, 22, 29, 22],\n [0, 21, 18, 19, -6, -1, 10, -1, 12, -15],\n [0, 0, 2, -21, 5, -12, -20, 15, -11, -9],\n [0, 0, 0, 24, 27, -7, -22, 8, -8, -29],\n [0, 0, 0, 0, ... | 400 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, 11, -2, 23, 29, 8, -30, 16, 27, -13],\n [-22, -28, -16, -20, -26, 28, -18, 8, -28, -1],\n [6, -9, 8, 14, 27, -25, 16, -20, 11, 14],\n [8, -18, -22, -19, -9, -3, -5, 1, 23, 1],\n [-8, 9, 13, -22, -7, 15, -26, 2, 7, -12],\n [-1, -15, 24, 22, -1, -11, 2, -29, 10,... | 751 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-29, 0, 17, 26, 12, 16, 19, 26, -13, -22],\n [0, 16, -20, -23, 27, 2, -11, -19, 23, 25],\n [0, 0, -12, 28, -27, -30, -26, -6, -20, 1],\n [0, 0, 0, -3, -28, 0, -17, 30, -29, -12],\n [0, 0, 0, 0, 30, 6, -25, -18, 3, -28],\n [0, 0, 0, 0, 0, 13, 13, -13, -12,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, -20, 2, -12, 15, 6, 19, -4, 26, 12],\n [6, 15, -8, 3, -29, 19, 2, -3, -30, -21],\n [26, 11, 0, 3, 14, 20, -4, -19, -27, -7],\n [22, 8, -16, -9, 7, -10, 1, -2, -9, 28],\n [-9, -11, -9, -17, -3, 2, -29, 5, -15, 13],\n [-11, 17, -13, -18, 2, 18, 11, 9, -6... | 406 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, 1, 15, 30, 20, 14, -4, 4, -30, 26],\n [-17, 18, -1, 13, -21, -15, 0, 9, 27, -12],\n [27, -13, -19, 12, -6, 1, 10, -14, -22, 3],\n [-2, 24, 29, 26, -10, -24, -28, -16, 20, -12],\n [20, 30, 24, -8, 18, 23, 9, 14, 15, 27],\n [6, -30, 16, 25, -10, 7, 24, 20, 4, -4... | 252 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 6, 21, -30, 8, 1, 15, 7, -8, -24],\n [0, 25, 18, -19, -16, 27, -15, 6, 5, -22],\n [0, 0, -22, 18, 4, 29, -13, -7, 3, 24],\n [0, 0, 0, -30, -1, 22, -12, 28, 10, -17],\n [0, 0, 0, 0, 12, -7, 9, -19, -21, -5],\n [0, 0, 0, 0, 0, -18, 4, -6, 24, 26],\n [0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, 7, -27, -21, -25, 21, -3, -15, 28, 22],\n [0, -26, 18, 0, -2, 5, 27, -24, 12, -9],\n [0, 0, 9, -19, -26, 26, -6, -9, 13, -24],\n [0, 0, 0, -16, 17, -10, -30, -19, 8, 16],\n [0, 0, 0, 0, 24, -27, 3, -3, -7, -18],\n [0, 0, 0, 0, 0, -11, -8, -27, -16, -22],\n [0,... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, -13, 28, -14, 7, -7, -24, -25, -3, 28],\n [16, -1, 30, 23, -6, -27, -27, -17, -1, -9],\n [-10, 25, 27, 29, 2, 22, -23, -25, 14, 30],\n [-21, 28, 21, -25, 26, 0, 18, 5, 18, -20],\n [12, -4, -11, -24, -8, 22, 27, 13, -4, 10],\n [22, 7, 20, 8, 16, 26, -1... | 88 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, 15, -22, 8, 12, -19, 6, 26, -15, -16],\n [0, -1, 7, -19, 21, 24, 26, -4, 22, 8],\n [0, 0, 7, -6, -19, 30, 11, 26, -1, 19],\n [0, 0, 0, -5, -19, -25, 12, -24, -1, 14],\n [0, 0, 0, 0, -7, 10, 7, -3, 0, -6],\n [0, 0, 0, 0, 0, -26, -21, -30, -26, -7],\n [0, 0, 0, 0... | 780 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, 11, 15, -18, -18, 29, 2, -6, -24, -9],\n [13, 30, 0, 17, -4, -25, 10, 3, 13, -9],\n [15, -7, -17, -27, -15, -13, 10, -18, -5, 16],\n [2, 15, -28, 30, 2, 21, 6, -27, 9, 9],\n [-28, 14, -1, -19, 23, -26, 7, -11, -7, -24],\n [9, -20, 13, -10, 14, -20, 19... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 19, -6, 14, -6, -7, -2, -12, 0, 16],\n [19, 22, 2, 8, 1, -15, 2, 25, -6, -12],\n [-6, 2, 13, 22, -18, 11, -16, -8, -14, 10],\n [14, 8, 22, -22, 20, 18, -10, -16, 12, -24],\n [-6, 1, -18,... | 903 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, -4, -24, 28, -16, -9, 7, -10, 4, -18],\n [-4, 24, 5, -2, -8, -9, -2, 14, -3, -5],\n [-24, 5, 11, -8, -4, -5, 13, 2, 20, -8],\n [28, -2, -8, -10, -8, 4, 2, 11, -6, -7],\n [-16, -8, -4, -8, -10, -6, 22, 7, 0, -22],\n [-9, -9, -5, 4, -6, 22, 10, -14, -1, 15],\n [... | 70 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 22, 5, -18, -3, 22, 8, -9, -28, -15],\n [0, 7, -5, 17, 1, 18, -19, 19, 23, -18],\n [0, 0, 3, 20, -8, 3, 30, 6, -11, -14],\n [0, 0, 0, -27, 13, 19, -26, -19, -5, -3],\n [0, 0, 0, 0, 23, -26, -11, -11, -17, -26],\n [0, 0, 0, 0, 0, -5, 6, 28, 17, 18],\n ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, -13, 7, -17, -30, 23, 18, 28, 23, 25],\n [0, -11, 25, 25, -10, -28, -21, 15, -12, -14],\n [0, 0, 11, -23, 11, -14, 18, 18, 28, 0],\n [0, 0, 0, 4, -29, -29, 2, 13, 15, 17],\n [0, 0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, 16, 10, 3, 14, 0, -16, 14, -14, -4],\n [16, -1, 2, -6, 12, -22, 16, 4, -7, 12],\n [10, 2, -18, -22, -8, 4, 11, 12, 24, -24],\n [3, -6, -22, 23, -18, -2, 5, -16, -13, 16],\n [14, 1... | 424 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 25, 1, 9, 8, -29, -19, -25, 24, 13],\n [0, 9, -24, -4, -27, -7, 16, 29, -26, 22],\n [0, 0, 2, 21, 17, -13, 21, 14, -15, 24],\n [0, 0, 0, -13, 6, 22, 14, 1, 7, -28],\n [0, 0, 0, 0, -9, -24, 20, 10, 11, 9],\n [0, 0, 0, 0, 0, 12, -20, 4, 27, -10],\n [0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -27, -9, 5, -15, 10, 17, 24, 9, 24],\n [0, 7, 0, -9, -3, -11, 26, -29, -15, -25],\n [0, 0, -16, -9, 2, 1, 2, -2, 7, 2],\n [0, 0, 0, 27, -30, -26, 17, -14, -1, -4],\n [0, 0, 0, 0, -11, -22, 0, 26, 12, 9],\n [0, 0, 0, 0, 0, 23, -5, -6, -29, -5],\n [0, 0, 0, 0, ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -28, 19, 22, 14, 23, -2, 4, 19, -30],\n [0, 14, -2, 15, -30, 30, -19, -29, 10, 6],\n [0, 0, 5, 27, 18, -3, -18, 6, 18, 28],\n [0, 0, 0, -10, 22, -8, 11, -30, 3, 30],\n [0, 0, 0, 0, -27, 11, -8, -29, 5, -14],\n [0, 0, 0, 0, 0, 22, 6, 15, -8, -27],\n [0... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, 2, 0, -4, -12, 8, -12, 2, 5, -1],\n [2, -29, -11, 4, -16, 0, 0, 9, 6, 18],\n [0, -11, 4, -10, 1, 2, -2, 4, 6, 11],\n [-4, 4, -10, -21, -4, -21, 10, 14, 8, 20],\n [-12, -16, 1, -4, -14, 0, 0, -24, 12, -11],\n [8, 0, 2, -21, 0, -25, -12, -9, -4, 7],\n [-... | 464 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-29, 8, -6, 6, 3, 8, 3, 7, -6, 10],\n [8, -20, 4, -12, -2, -1, -13, -2, 13, 18],\n [-6, 4, -27, -16, 4, -2, -20, 8, -5, -9],\n [6, -12, -16, -2, 14, 2, 12, 17, -14, -4],\n [3, -2, 4, 14, 24, 4, -12, 14, -6, -22],\n [8, -1, -2, 2, 4, 12, 3, 12, 10, 12],\n ... | 731 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 26, 2, 6, -5, -12, 7, 16, 0, 2],\n [26, 10, 0, -8, 24, -4, 8, -12, -3, 10],\n [2, 0, -9, -4, -2, -4, 6, 4, -20, -2],\n [6, -8, -4, 11, -7, 2, 7, -19, 2, -7],\n [-5, 24, -2, -7, 25, -1, -2, -2, 0, -14],\n [-12, -4, -4, 2, -1, 1, 0, 2, -15, -2],\n [7, 8, 6, 7, ... | 255 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-25, -23, -20, -16, 28, 29, 16, 7, 16, -10],\n [-12, 6, 10, -30, -19, 22, 27, -13, -14, 12],\n [-8, -15, -20, 23, 25, -12, -8, 27, 30, 19],\n [7, -9, -26, 2, 15, 29, -23, -14, 22, -5],\n [23... | 47 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 14, 22, 24, -12, 12, -15, 9, -2, -16],\n [14, 7, 12, 6, 4, -25, 18, 3, 12, -4],\n [22, 12, 0, 12, 2, 8, -8, -3, -6, 0],\n [24, 6, 12, 0, 17, 0, 14, 6, 12, -19],\n [-12, 4, 2, 17, -22, 2, 4, -10, -3, 10],\n [12, -25, 8, 0, 2, 12, -12, 16, 1, 0],\n [-15,... | 35 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, 13, -30, -22, 19, -24, -18, 21, 13, -10],\n [-12, 2, -26, -19, 29, 6, -30, -18, -6, 7],\n [-21, 11, 11, 4, -20, -28, -8, -29, -7, -5],\n [28, 29, 23, -2, -1, 30, -19, -26, 0, -24],\n [22, -28, 3, 29, -1, 5, 21, -11, 6, -2],\n [-12, -2, -3, 24, 25, 22,... | 199 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, 13, -20, -30, 7, 9, 15, -16, -6, -4],\n [0, -7, 28, 30, -22, 26, 16, -12, 24, 9],\n [0, 0, 4, 19, -14, 20, -4, 21, -10, -9],\n [0, 0, 0, -13, -20, 8, 7, 26, 19, 7],\n [0, 0, 0, 0, -6, -5, 14, 8, 30, -11],\n [0, 0, 0, 0, 0, -7, 29, -4, 12, -28],\n [0, ... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[26, -14, -30, 15, -7, 2, -21, -28, -26, -28],\n [0, 30, -13, -18, -7, 20, 12, -25, -11, 17],\n [0, 0, -3, 25, 8, 11, 29, 2, -19, -20],\n [0, 0, 0, 16, 24, 18, 20, 24, -7, 0],\n [0, 0, 0, 0, -10, 1, 5, 6, 8, 23],\n [0, 0, 0, 0, 0, -18, -11, -24, 14, -22],\n... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, -13, 2, 8, 8, -4, -4, -13, 7, 15],\n [-13, -18, -15, 0, -10, 4, 26, 19, 14, -14],\n [2, -15, -12, -1, -20, -8, 10, 6, -23, 12],\n [8, 0, -1, 26, -20, -12, -7, 4, 7, 4],\n [8, -10, -20, ... | 76 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, -10, 1, -10, -13, 6, 24, 10, 6, -2],\n [-10, 20, -23, 10, 8, 1, -13, 6, -10, 0],\n [1, -23, 13, 20, 13, 0, 1, 4, 14, 9],\n [-10, 10, 20, -25, -15, -7, -18, 22, 1, -4],\n [-13, 8, 13, -15, -15, 8, 4, -4, -2, 0],\n [6, 1, 0, -7, 8, 29, -16, 9, 18, -5],\n [24, -13... | 316 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[20, -5, 0, 14, 5, 26, 7, 23, -18, -28],\n [0, -1, 1, 26, -13, -3, -2, -1, 28, -5],\n [-24, -19, 17, 11, -29, -2, -17, -6, 27, -18],\n [-5, -17, -23, 15, -19, 21, -7, -8, 7, -18],\n [-30, -7, 24, 18, 13, -27, -20, 23, -26, 16],\n [30, -21, -16, -30, 14, 4, ... | 459 | MATH |
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