messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, -2, 16, -11, 17, -1, -25, -22, 21, 25],\n [-16, -22, -2, 22, 6, -11, 13, 7, 3, -16],\n [20, -7, -21, 17, -30, -15, 8, 27, -14, 29],\n [30, -26, 18, -19, -26, 22, 29, -8, -21, 26],... | 656 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, 0, -14, 18, 5, 14, -2, -16, -10, 20],\n [0, -17, -2, -21, -2, 0, -8, 6, -4, 16],\n [-14, -2, 7, 3, 13, -5, 16, 26, 18, 3],\n [18, -21, 3, 24, 0, -4, 15, 0, 2, 6],\n [5, -2, 13, 0, -17, -... | 283 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, -20, 28, 19, -2, 14, -21, 22, -7, 19],\n [-4, 17, -14, 20, 27, 22, -19, -22, -27, 27],\n [29, 26, 21, -21, 0, -15, 3, -15, 15, -7],\n [21, 10, -26, 8, 18, 23, 12, -27, 1, -24],\n [6, -17, -12, 21, 19, 3, -13, -10, -6, 14],\n [-7, -7, -20, 15, 1, 17, 1... | 593 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-28, -29, -6, -2, -26, -10, 9, -27, 10, 24],\n [0, -14, 10, 3, 27, -19, 10, 25, -8, 28],\n [0, 0, -23, 29, -29, -25, 4, 25, -22, 15],\n [0, 0, 0, -8, -26, -29, -22, 14, 7, 1],\n [0, 0, 0, 0,... | 848 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-28, 25, 17, 12, -1, -27, 22, -14, -3, -16],\n [0, 17, 8, 2, 15, -1, -27, -20, -18, 24],\n [0, 0, 1, 0, 30, 9, -7, 16, 6, 19],\n [0, 0, 0, 15, -14, -23, -20, 12, -6, -20],\n [0, 0, 0, 0, 9, ... | 160 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, 4, 2, -8, 16, -5, 2, 5, -17, -25],\n [4, -7, -2, -11, -13, 22, 20, 14, -6, 10],\n [2, -2, -13, 2, -2, 18, 14, 15, -10, 6],\n [-8, -11, 2, -3, 17, -16, 9, 0, 4, 8],\n [16, -13, -2, 17, 4, -8, 14, 8, -9, -14],\n [-5, 22, 18, -16, -8, 24, 23, 8, -14, 14],\... | 716 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-29, 12, -19, 18, 23, -4, -26, -12, 10, -18],\n [12, -11, 4, 3, -2, -20, -2, 10, 4, -14],\n [-19, 4, 6, -24, -10, 12, 2, 1, -9, 1],\n [18, 3, -24, -16, -8, -10, 0, -5, 8, 2],\n [23, -2, -10, -8, 2, -22, 14, -17, 0, 8],\n [-4, -20, 12, -10, -22, -8, 6, 20,... | 419 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-27, 29, -2, 2, -11, -2, -6, 12, 21, 22],\n [0, 6, -29, 0, 10, -16, 29, 7, -28, -13],\n [0, 0, 1, -16, -7, -28, 25, -26, -14, -17],\n [0, 0, 0, 29, -3, -17, 10, -24, -6, -13],\n [0, 0, 0, 0,... | 440 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-15, -20, -13, 0, -21, 2, -22, -10, 0, 0],\n [-20, -2, -14, -2, 18, 2, 16, 16, 18, -15],\n [-13, -14, -16, 10, -8, 4, 1, -6, 11, -22],\n [0, -2, 10, -28, 17, 0, -3, -2, -18, -4],\n [-21, 18, -8, 17, 19, 10, 24, 12, -29, -6],\n [2, 2, 4, 0, 10, -30, -12, 2... | 811 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, 21, -23, 26, -25, -26, 5, 22, -16, 3],\n [11, -27, 2, -26, -3, -11, -30, -24, 16, -3],\n [2, -2, -15, 24, 30, -28, -14, -13, -13, 10],\n [-27, 5, 17, 16, -13, -7, 12, 20, 18, -24],\n [5, -26, 5, 26, 2, 8, -9, 2, 8, -28],\n [16, 15, 3, -1, 0, 18, 12, ... | 51 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-21, 1, -10, 10, 1, 26, 22, -27, 12, -2],\n [-9, 25, -24, 26, 0, -8, 5, 0, 28, -30],\n [16, -9, 9, -18, -16, -29, -1, -3, -3, 4],\n [1, -5, -3, 15, 19, 9, -29, 22, 2, -19],\n [23, 2, 7, 26, 8, -18, 8, -11, -7, -12],\n [3, 12, -8, -14, -14, -22, -18, -4, -... | 883 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-28, -6, -2, -10, 0, -4, -9, -9, 12, -2],\n [-6, 28, -14, -12, 17, -2, -2, -22, 2, 2],\n [-2, -14, -8, -4, 10, -6, -8, -2, 28, -11],\n [-10, -12, -4, 19, -3, -25, -9, 10, 2, -3],\n [0, 17, 10, -3, 6, -10, 0, 10, 19, -2],\n [-4, -2, -6, -25, -10, -19, 8, -1... | 144 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 8, 1, -3, -4, -24, -28, 15, -25, 16],\n [0, 23, -16, 17, 17, 6, -6, -24, 24, -16],\n [0, 0, -25, -15, -9, 26, -20, -2, -24, -21],\n [0, 0, 0, 8, -12, 23, -7, -28, 18, -23],\n [0, 0, 0, 0,... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-8, -20, 24, 4, -28, -28, -26, -3, -8, -26],\n [-30, -27, -22, -4, 12, 30, -28, 15, 19, -23],\n [30, -20, 6, -18, -13, -16, 13, 13, 7, -13],\n [1, -4, -29, -5, 23, -12, 22, -25, 20, -26],\n [15, 28, -7, -20, -9, -22, -13, -1, -15, -24],\n [30, 13, 14, 5, -... | 844 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[16, 20, 18, -7, -10, 24, 22, -2, -2, 8],\n [20, -30, 2, -2, -26, -6, -16, 6, 6, -8],\n [18, 2, 8, 18, 2, 0, -10, 6, 2, -22],\n [-7, -2, 18, 4, -14, -11, 12, -12, 9, 16],\n [-10, -26, 2, -14, -7, -10, 0, -2, 12, -18],\n [24, -6, 0, -11, -10, 3, -7, -4, 2, 2... | 483 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -16, 24, -24, -28, 9, -21, -27, 13, -17],\n [0, 11, -6, 18, -7, 18, -16, -10, -5, -5],\n [0, 0, -16, 18, -9, -29, 1, -12, -11, 4],\n [0, 0, 0, -19, 19, 5, 5, 9, 11, -21],\n [0, 0, 0, 0, 2... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 4, 4, 8, -4, 6, -12, -4, -12, 4],\n [4, -27, -12, 26, -7, -9, -10, 20, 22, 14],\n [4, -12, 23, -10, -13, -8, 6, -4, 1, 22],\n [8, 26, -10, -3, -10, -3, 1, 28, -6, 0],\n [-4, -7, -13, -10, -8, -6, 5, 1, -14, 6],\n [6, -9, -8, -3, -6, 18, 4, 6, 16, -16],... | 206 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 1, 6, 27, 27, 0, 20, 14, 20, -22],\n [-16, 11, 10, -23, -23, -29, -13, -20, -26, 4],\n [-18, 29, 19, -30, 16, 1, 28, -27, -10, 14],\n [-24, -20, 22, -13, 24, -19, -21, -28, 7, 16],\n [-... | 481 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, -24, 11, 2, 16, 17, 12, -22, -1, 18],\n [-24, -19, -14, 12, 2, -22, -11, -9, 8, -12],\n [11, -14, -7, -1, 4, -4, -24, -4, 16, -10],\n [2, 12, -1, 11, 0, -20, -1, -14, 6, -8],\n [16, 2, 4, 0, -10, -3, 14, -14, 8, 16],\n [17, -22, -4, -20, -3, -4, -26,... | 613 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[27, 18, -9, 19, 16, -8, -1, 10, -27, 27],\n [-6, -1, 15, -28, 23, 25, -9, -19, 22, 16],\n [-12, 8, -20, -20, -12, -24, -1, 12, -4, -7],\n [6, -27, -1, 10, -21, 12, -28, 15, -14, 12],\n [-10,... | 140 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 12, 24, 9, -24, 9, 8, -21, 4, -10],\n [4, 13, 0, -6, 20, -3, 22, 30, -11, 27],\n [-27, -29, -1, -10, 11, -4, -20, -19, -28, 27],\n [-23, 27, -16, 18, -11, -27, -19, 13, 24, 27],\n [3, -8, 23, 29, 14, 21, 8, 1, -16, -20],\n [22, 7, -18, -30, -1, -28, 10, 19, 2... | 834 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 28, 6, 3, 28, -15, -21, 6, -17, -17],\n [0, -21, 4, 3, -10, 10, 8, -2, -5, -11],\n [0, 0, -20, -29, -4, -20, -9, 27, -13, -10],\n [0, 0, 0, 3, -10, -16, 14, -4, -16, -1],\n [0, 0, 0, 0, -25, -27, -3, 27, 9, -1],\n [0, 0, 0, 0, 0, 7, 12, 14, -24, 6],\n... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, 17, 23, 6, 4, -2, -14, -18, 25, -10],\n [0, 19, -13, 17, 13, 9, 22, -23, 2, -2],\n [0, 0, 7, 1, 13, -2, 12, 30, -13, -30],\n [0, 0, 0, -20, 6, 28, 2, 11, -6, -14],\n [0, 0, 0, 0, 11, 7, -11, 1, -12, 19],\n [0, 0, 0, 0, 0, -16, -25, 29, -4, 25],\n [0, 0, 0, 0, ... | 320 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 4, -18, -15, 4, -13, -18, 10, 6, 13],\n [4, -21, 0, 12, 1, 18, -10, -8, -17, 16],\n [-18, 0, -21, 10, -18, 10, 2, -5, -12, -12],\n [-15, 12, 10, 30, 2, 21, -13, 15, 10, 1],\n [4, 1, -18, 2, 5, -20, -16, -14, 18, 0],\n [-13, 18, 10, 21, -20, -27, -2, -... | 86 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, 25, -19, -25, 12, -24, -19, 4, -4, 14],\n [0, -6, 13, 27, 26, -7, -4, -11, 17, -16],\n [0, 0, 9, -2, 22, -17, -28, 21, 12, -30],\n [0, 0, 0, -17, 28, -4, -1, -4, -25, -22],\n [0, 0, 0, 0, 17, 25, 8, -27, -16, -14],\n [0, 0, 0, 0, 0, 30, 21, -10, 26, 10],\n [0... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, -10, -2, 6, 4, -12, 8, 3, -4, 11],\n [-10, 22, 11, 14, -12, -21, 1, 0, -7, -8],\n [-2, 11, -16, -19, 6, -12, -8, 26, 2, 10],\n [6, 14, -19, -24, -6, 12, 6, -10, 7, 2],\n [4, -12, 6, -6, 10, 2, 5, 16, -18, 5],\n [-12, -21, -12, 12, 2, 21, -2, 4, -20, ... | 721 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 10, 19, -11, 30, -24, -16, 19, -22, -29],\n [0, -5, -8, 28, 15, 29, -12, -18, 18, -10],\n [0, 0, -2, -5, 21, 6, -3, 4, 19, 15],\n [0, 0, 0, -1, -6, -29, -4, 5, -22, 25],\n [0, 0, 0, 0, -28, 18, 18, -5, 6, -6],\n [0, 0, 0, 0, 0, -13, 10, 21, -10, 0],\n [... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-26, -4, -8, 17, -19, -23, 11, -12, 11, 28],\n [16, -13, 30, 0, -11, 4, -12, -13, 5, -19],\n [8, -17, 17, 1, -3, -4, -17, -8, 17, 24],\n [18, -26, -25, 27, 19, -1, -8, -1, -11, -7],\n [-10, ... | 135 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, 15, -15, -25, 26, -17, 28, 21, -25, -28],\n [0, -5, 19, 2, 3, 22, -26, -7, 21, -20],\n [0, 0, -27, 30, -30, 20, 1, 4, -22, 8],\n [0, 0, 0, 15, -7, 20, -2, 30, -16, 8],\n [0, 0, 0, 0, 5, -5, -29, -21, -7, 4],\n [0, 0, 0, 0, 0, -16, -3, 16, -20, -15],\... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 25, 16, -19, -23, 3, 12, 18, -23, -19],\n [0, 9, -8, 6, 4, -23, 14, 6, -29, 7],\n [0, 0, 1, 18, -17, -21, -5, -22, -24, -29],\n [0, 0, 0, -5, -3, 1, 23, -10, 14, 5],\n [0, 0, 0, 0,... | 720 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 5, 8, -14, -6, -12, 4, 1, -24, -22],\n [5, -27, 14, -14, -22, 1, 16, 0, -7, 15],\n [8, 14, -19, -8, 24, 16, 14, -5, -5, 10],\n [-14, -14, -8, 25, 13, 10, -5, -10, -18, -10],\n [-6, -22, 24, 13, 17, 6, 0, 0, 14, -16],\n [-12, 1, 16, 10, 6, -18, -2, -15,... | 730 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -18, -15, 29, 27, 10, -26, -26, 6, 9],\n [-22, -4, 13, 5, 17, -15, -2, -21, 25, 10],\n [7, 14, 11, 5, -8, -19, 26, 22, -25, 9],\n [17, 6, -4, -26, 15, -25, 22, 21, -8, 12],\n [-7, 0, 28, -15, 4, 1, -17, -5, 28, -28],\n [-22, 0, -8, -6, -4, -26, -18, -2... | 627 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 28, 25, 22, 16, -24, 2, -10, 2, 5],\n [28, -22, -10, 26, -16, 3, 10, 6, 6, -27],\n [25, -10, 21, -20, -6, -13, -2, -10, -5, -16],\n [22, 26, -20, -22, -2, 15, -24, 6, -5, -14],\n [16, -16, -6, -2, 24, -16, 16, -4, 6, -16],\n [-24, 3, -13, 15, -16, -23,... | 99 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, 0, 12, 2, 1, 15, 28, 18, -12, -18],\n [0, 22, -4, -14, 2, -1, -1, -2, -18, -15],\n [12, -4, 3, -1, -4, -10, -8, -8, -3, 6],\n [2, -14, -1, -7, -22, 4, 8, -9, 20, -2],\n [1, 2, -4, -22, 28, -27, 6, 15, -28, 10],\n [15, -1, -10, 4, -27, -10, -4, -20, -30,... | 99 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-23, 23, 26, 7, -21, 5, 12, -8, 4, 10],\n [0, 18, -30, 16, -27, -8, -7, 30, 8, -19],\n [0, 0, -2, -15, 16, -28, 22, -29, 26, -14],\n [0, 0, 0, -21, -12, 26, -14, -23, 7, -18],\n [0, 0, 0, 0,... | 408 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, -14, -8, 12, -17, -25, -14, 24, 8, 3],\n [-14, 27, -18, -16, 16, 6, 6, -7, -4, 15],\n [-8, -18, -9, -28, -3, -1, 8, -11, 6, -10],\n [12, -16, -28, 29, -16, 26, 6, 0, 16, -11],\n [-17, 16, -3, -16, -11, 12, -8, 9, 10, 6],\n [-25, 6, -1, 26, 12, -1, 0, ... | 635 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[29, 2, -12, -16, -7, 6, 4, -7, -6, -11],\n [2, -3, -2, -2, 29, -21, 26, 15, 22, 6],\n [-12, -2, 4, 0, 3, 22, 0, 12, 2, -3],\n [-16, -2, 0, 8, -10, 14, 2, 4, -8, 17],\n [-7, 29, 3, -10, 9, -10, 12, -14, -13, 11],\n [6, -21, 22, 14, -10, 26, 1, 8, -30, 18],\n [4, 26... | 790 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 12, 12, 6, -12, 5, -16, 11, 18, 14],\n [12, -4, 1, 3, 6, 8, -2, 3, 8, 26],\n [12, 1, -27, 12, 3, -5, -22, 10, -26, -12],\n [6, 3, 12, 14, 3, -18, 14, 28, -12, 12],\n [-12, 6, 3, 3, ... | 268 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, 18, -13, 18, 16, 30, -18, -26, -2, 24],\n [0, -30, -1, -1, 12, -30, -23, -23, 20, -12],\n [0, 0, -7, -1, -20, 12, -25, -16, -15, -11],\n [0, 0, 0, -23, -18, 1, 22, 27, -21, -13],\n [0, 0, 0, 0, -27, -19, -13, -2, 13, -18],\n [0, 0, 0, 0, 0, -20, -20, 2... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 8, -20, 9, 4, 22, -30, 30, -11, 0],\n [9, 12, -25, -6, -15, 26, 6, -1, 13, 10],\n [24, -2, 4, 28, 12, 8, -13, -20, -7, 27],\n [17, -4, 1, -28, -10, -7, 3, 17, -10, 14],\n [21, 1, -16, -1... | 692 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[19, 21, -25, -26, 29, -7, 13, -13, 3, -9],\n [10, 24, 24, -15, 25, -16, 11, 27, 3, -16],\n [-27, 11, -20, 0, -5, -27, -30, -3, -29, 26],\n [-29, 1, 5, 10, 8, 3, 24, 28, -3, -20],\n [25, -10,... | 480 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, 28, 24, 16, 24, 18, -2, 2, 12, 4],\n [28, -14, -24, -8, -6, 5, -6, -3, 2, -4],\n [24, -24, 3, 5, 6, -16, 4, -2, -22, -5],\n [16, -8, 5, -15, 3, 10, -22, 26, 18, -8],\n [24, -6, 6, 3, 16,... | 505 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 22, 12, -17, -24, -11, -26, 9, 26, 19],\n [0, 16, 6, 30, 0, 26, 3, 22, -25, 25],\n [0, 0, 7, 10, 14, -10, -4, -30, 2, 8],\n [0, 0, 0, 24, 16, -9, 27, 19, 19, -5],\n [0, 0, 0, 0, -16, 21, 6, 6, 24, 27],\n [0, 0, 0, 0, 0, 25, 27, -4, -28, -20],\n [0, 0, 0, 0, 0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[28, -23, -17, 5, -25, -25, 27, -9, -28, 7],\n [9, -2, 12, -25, 18, -28, -17, -17, -23, 24],\n [-12, 28, 23, 20, -15, -26, 29, -4, -3, -30],\n [2, -22, -30, 2, -29, 16, 23, -24, -22, 5],\n [-29, -7, 8, 23, -6, -19, 30, -22, -28, 7],\n [-19, 13, -1, 29, 3, ... | 634 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-26, -30, -12, 29, 23, -12, 7, -23, -17, 21],\n [5, -20, 5, -28, 13, -20, 20, 12, -14, 4],\n [8, 0, 25, -25, 8, -13, 11, -17, -12, 8],\n [23, 14, -17, 10, 20, 14, 19, 17, -25, -24],\n [-23, -22, 18, -28, 14, 15, -28, 15, 2, -10],\n [-12, 19, -22, 17, 7, -... | 373 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, -1, 14, 10, -13, -6, 0, 7, -23, 8],\n [0, 26, -27, 10, -17, -11, 30, 11, -19, 26],\n [0, 0, 19, 13, 13, -3, 9, -11, -14, 15],\n [0, 0, 0, 26, -27, -3, 15, -27, -24, -3],\n [0, 0, 0, 0, 29, -19, 14, -25, -23, 15],\n [0, 0, 0, 0, 0, -14, 26, -20, 2, -30]... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -6, 20, -8, 18, -7, 12, -17, -28, -6],\n [-6, 13, 23, -4, 12, 24, -6, -24, 14, 0],\n [20, 23, 19, -4, -10, -18, 5, 18, 16, -11],\n [-8, -4, -4, -13, 17, 21, -7, -4, 6, 10],\n [18, 12, -1... | 728 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 12, 3, 1, 11, 6, -26, -20, 4, 28],\n [12, -24, 5, 2, 12, -28, 23, -10, -6, -14],\n [3, 5, 4, -15, 20, 22, 4, -10, 3, 13],\n [1, 2, -15, 22, 10, -18, 8, 0, -5, 5],\n [11, 12, 20, 10, 27, -2, -3, 10, -23, -6],\n [6, -28, 22, -18, -2, 4, 2, -16, -9, 2],\n [-26, 23... | 964 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -3, -25, 21, -15, -7, -9, 30, -6, 10],\n [0, 3, -9, -6, 17, -17, -17, -7, 28, -22],\n [0, 0, -5, -9, -12, -27, -29, 22, -3, -14],\n [0, 0, 0, -3, -19, -4, 10, -19, -13, -1],\n [0, 0, 0, 0, 3, -23, -6, -3, 15, -4],\n [0, 0, 0, 0, 0, -19, -22, 18, 27, -3... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[27, -19, 22, -4, -9, -4, 16, 6, 7, -29],\n [0, 29, -8, 18, -23, -29, -8, -7, -5, 21],\n [0, 0, 20, 12, -4, 16, -19, 26, -22, -30],\n [0, 0, 0, 18, -5, -7, 7, 2, -2, -12],\n [0, 0, 0, 0, 9, 1... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 4, 12, 13, 6, -2, -12, -22, -3, 6],\n [4, 9, -4, 6, -2, 6, -22, -6, 6, -1],\n [12, -4, 3, 9, 6, -5, 2, 8, -29, 10],\n [13, 6, 9, 2, -8, -6, -10, -6, -12, -11],\n [6, -2, 6, -8, 4, 8, -4, -22, 19, -11],\n [-2, 6, -5, -6, 8, -12, 18, 12, 6, 8],\n [-12,... | 389 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, 6, -6, 14, 6, 14, 12, 17, -3, -6],\n [6, 28, 20, -4, -16, -6, -8, -11, -24, 4],\n [-6, 20, 11, -4, -8, -7, 8, 6, -12, -2],\n [14, -4, -4, -14, -10, 4, 5, -4, -20, 14],\n [6, -16, -8, -10, -10, -12, -4, 19, -1, -6],\n [14, -6, -7, 4, -12, -16, 17, -8, -12, 22],\... | 21 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-26, -23, 0, 26, 21, -28, -9, 19, 4, -17],\n [1, 5, 0, -10, 0, 8, -4, 30, 28, 19],\n [7, 9, -1, -13, 0, 20, -10, -27, 17, -2],\n [-18, -25, 18, 17, 8, 19, 8, -19, -11, -28],\n [-22, -2, -7, 5, -5, 6, 29, -5, -16, 2],\n [-23, 10, 12, 4, 2, -12, 1, 24, -8, ... | 352 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, -7, 30, 14, 1, -12, 5, 26, -6, -9],\n [0, 28, -6, -9, 15, -2, -9, -28, 13, -27],\n [0, 0, 9, 18, -12, 22, -26, -21, 14, -22],\n [0, 0, 0, 8, -6, 19, -25, -30, -20, 0],\n [0, 0, 0, ... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, -30, -21, -1, -28, -27, 16, 15, 13, 15],\n [2, -1, -5, 29, -20, 6, 16, 26, -16, -10],\n [-7, 7, 24, 18, -19, 23, -26, 24, 4, -28],\n [9, 17, -19, 0, -20, -18, -19, -22, -14, 0],\n [18, -5, 28, 10, 25, -22, 8, 1, 21, 21],\n [13, 1, -22, 0, -2, -20, 8, ... | 84 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -13, -11, -22, 20, 5, 29, -28, -18, -1],\n [-12, -30, 29, -29, 21, -26, -15, 18, 20, -11],\n [24, -4, -30, -14, 7, -4, 11, 21, -7, -11],\n [19, 10, 29, 28, -27, -15, 0, -26, -6, -22],\n ... | 505 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, 18, 16, -6, -16, 15, 20, -20, 10, -16],\n [18, -16, 15, -13, 13, 8, 12, -17, 0, 1],\n [16, 15, -4, 10, -8, -11, -26, 4, -20, 18],\n [-6, -13, 10, -11, 4, 0, -21, 14, 22, -8],\n [-16, 13, -8, 4, 26, -14, 10, -6, -16, 10],\n [15, 8, -11, 0, -14, -30, -... | 458 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, -18, 2, 12, 2, 1, -28, 16, 6, 26],\n [-18, -16, -22, -3, -24, 4, 1, -2, -10, 26],\n [2, -22, -1, -14, 1, -27, -11, -21, 16, 4],\n [12, -3, -14, -13, 14, 12, -7, 12, 12, 13],\n [2, -24, ... | 60 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -22, 14, 4, 6, 28, 14, 20, -7, 16],\n [-22, 11, -2, 13, 6, -18, -12, 9, 8, 5],\n [14, -2, -3, 3, 27, -16, 6, 6, 10, -22],\n [4, 13, 3, -5, 2, 4, -2, 2, 2, 7],\n [6, 6, 27, 2, -28, 1, 2, -18, -23, 23],\n [28, -18, -16, 4, 1, -19, 16, 6, -16, 20],\n [14... | 165 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, 10, -26, 14, 15, -16, -26, -30, 10, 24],\n [6, -7, 30, -4, 20, -15, 28, 13, -29, -17],\n [-15, 11, -14, -5, -1, 2, 29, 9, 0, -14],\n [-24, 30, -15, 0, 22, -29, -1, 5, 12, -7],\n [12, 26, -8, 13, -27, -22, 15, -8, 15, 26],\n [30, -9, 27, 9, -24, 26, -3,... | 77 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 16, 12, -26, 14, 28, 25, -9, -5, -3],\n [0, 9, 6, -8, -11, 15, -10, -20, 26, 8],\n [0, 0, -10, 26, -19, -5, 11, -29, 22, 25],\n [0, 0, 0, -18, -17, 16, -5, -25, 22, -2],\n [0, 0, 0, 0, 19, 25, 1, -11, -16, 8],\n [0, 0, 0, 0, 0, 27, -19, -27, 10, -18]... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-30, -8, 21, -12, -20, 19, 29, 28, -25, 30],\n [0, -5, 9, -8, 26, -13, 5, -23, 17, -20],\n [0, 0, 29, 22, 22, -6, -17, -6, 9, 28],\n [0, 0, 0, 13, 23, 28, -17, 13, -12, -17],\n [0, 0, 0, 0, 1, 13, 11, 17, -6, 25],\n [0, 0, 0, 0, 0, -24, -21, -18, 13, 14],... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, 20, 11, 15, 17, -7, 5, -5, 26, 1],\n [-30, 26, 11, 2, 15, 25, 24, -9, 4, 16],\n [13, 17, 8, -25, 14, 26, 7, -3, 4, -23],\n [15, -5, 2, 21, 30, 10, 21, -3, -19, -25],\n [-1, 30, -1, 0, -5, -29, 10, 27, -4, -16],\n [26, -6, 8, -15, -26, 3, -4, 8, -12, 27... | 725 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, -23, -13, -21, -12, -21, -29, 9, 16, 28],\n [0, -11, -30, -1, -24, 27, -22, 17, -9, 0],\n [0, 0, 6, -22, 9, 27, -20, 26, -6, 12],\n [0, 0, 0, 2, 19, 28, 0, 22, -7, 29],\n [0, 0, 0, 0, 3, -15, 0, -3, -14, -9],\n [0, 0, 0, 0, 0, 15, -5, 25, 18, 5],\n [0, 0, 0, ... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[14, 9, 20, -30, -13, 24, -14, 9, 18, 19],\n [-27, 15, -28, 25, 20, 23, 29, 26, -29, 8],\n [29, -27, 13, 3, -8, 5, -7, 21, 20, 1],\n [5, -18, 5, 6, -27, -16, 5, 2, 29, 17],\n [7, 28, 6,... | 224 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -12, 18, -14, -10, 11, -5, -7, 18, -5],\n [-12, 20, -8, 2, -2, 22, 28, 20, -18, 3],\n [18, -8, -16, 2, 2, -2, 3, -16, 4, -18],\n [-14, 2, 2, -10, 5, -7, -8, -22, -28, 12],\n [-10, -2, 2, 5, -25, -2, 2, 2, -14, 22],\n [11, 22, -2, -7, -2, -6, -6, -2, 30, -7],\n ... | 840 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -5, 10, 18, 2, -2, -15, -6, 20, 14],\n [-5, 12, -6, 0, 10, -24, -8, -14, 21, -1],\n [10, -6, -16, 6, -5, -7, -2, -2, -9, -12],\n [18, 0, 6, -15, -16, -6, -4, -14, -2, 20],\n [2, 10, -5, -16, 6, 1, -29, 9, -19, 24],\n [-2, -24, -7, -6, 1, -26, 8, -16, -27, -2]... | 868 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 10, -9, 8, -30, -18, 30, 27, -1, 15],\n [7, 23, 4, -10, 27, -23, -2, -20, 25, 6],\n [-25, 22, 21, -14, 16, -9, 11, 2, -12, 9],\n [23, 24, 7, -14, -11, 24, -13, 23, 5, 24],\n [-1, -3... | 693 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, 5, -24, -29, 18, -26, -16, 7, 27, -17],\n [-18, 10, -8, 11, 21, -2, -12, 21, 18, 3],\n [-30, -27, 3, -18, -30, 22, 5, 19, 5, 17],\n [-25, 26, -8, -1, 10, 29, 24, 4, 13, -7],\n [-3, -6, -15, -22, -28, -23, 25, -8, -4, 5],\n [-25, 25, -5, -15, -9, -25, ... | 501 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-27, 21, 12, -4, -8, -7, -22, 7, 1, 12],\n [0, 15, -29, -23, -28, -18, 23, 0, -26, 29],\n [0, 0, 15, -4, -6, -20, -1, -4, 22, -10],\n [0, 0, 0, 28, -15, -30, 29, 18, -1, 5],\n [0, 0, 0, 0, 27, 19, -6, 2, 19, 30],\n [0, 0, 0, 0, 0, 16, -28, -8, 1, 9],\n [0,... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[16, 28, -27, -9, -4, 25, 12, 0, -9, -27],\n [19, -17, -5, -4, 0, -15, -9, -2, 29, 14],\n [12, 2, 17, 30, -4, -8, -22, -21, -19, -3],\n [3, 22, 16, -28, 14, 26, -29, -11, -28, -9],\n [-... | 411 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -3, 22, -3, -28, 26, -27, 29, 4, -7],\n [0, -1, -5, 21, 14, -3, 9, 2, -23, 4],\n [0, 0, 9, 14, 15, -8, -25, 20, -13, 14],\n [0, 0, 0, 19, 0, 14, 30, -14, 7, -16],\n [0, 0, 0, 0, 26, -9, -... | 248 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[26, -29, 20, -15, -27, -11, -28, 9, -3, 11],\n [25, -8, -15, 29, 5, -28, -24, -7, -10, 4],\n [9, -23, -8, 22, 21, -30, 30, -20, 1, 8],\n [-22, -14, 16, -30, -27, -10, -5, -4, 4, -18],\n [21, 22, -2, -27, 26, -11, -30, 16, -23, 15],\n [-9, 13, -11, -21, -2... | 475 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, -28, 24, 26, -20, 16, -26, -17, 25, -10],\n [28, 2, 15, -6, 17, 10, 21, -23, 13, -11],\n [-2, 8, -28, 17, -22, 18, -27, -20, 30, 15],\n [-9, -13, -29, 6, -3, -22, 22, 14, -1, -14],\n [-11, -9, -16, -9, 27, 23, -28, -11, -11, 4],\n [12, 27, 1, 9, 10, 25... | 376 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, -6, 2, -10, 8, -12, 8, 18, -1, -20],\n [-6, 10, -25, -21, -3, 5, 1, -22, 0, -3],\n [2, -25, 25, -5, 0, 24, -15, -2, -10, -7],\n [-10, -21, -5, 10, -12, 1, 2, -8, 16, 10],\n [8, -3, 0, -12, 3, -28, -26, -16, 9, 14],\n [-12, 5, 24, 1, -28, 11, -6, -18, -... | 417 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 2, 12, -22, 10, -20, -26, -4, -12, -19],\n [2, 26, 15, 0, -4, -10, 25, 0, -12, -22],\n [12, 15, 16, 4, 10, -14, 5, -4, 8, -22],\n [-22, 0, 4, -15, -14, -22, 4, 16, -2, 0],\n [10, -... | 194 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[19, 3, -18, -14, -19, 4, 2, 13, 8, 14],\n [3, 20, 8, 6, 22, 8, 5, 2, -4, -17],\n [-18, 8, -18, -2, 2, 2, 20, 2, -10, 3],\n [-14, 6, -2, 1, 10, 12, -14, 8, 0, 18],\n [-19, 22, 2, 10, 5, 6, 7, -1, -4, -25],\n [4, 8, 2, 12, 6, 6, -12, -10, 16, 8],\n [2, 5, 20, -14, 7... | 191 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, -21, 27, -4, 7, -6, 30, 2, 24, -19],\n [0, 13, 14, -16, 12, 6, 3, 30, -8, 5],\n [0, 0, 2, 0, 6, -16, 24, -9, 24, -20],\n [0, 0, 0, 24, -8, 18, -23, 3, 6, -7],\n [0, 0, 0, 0, 24, 1, 2, 5, -7, 26],\n [0, 0, 0, 0, 0, 20, -25, -29, -18, -30],\n [0, 0, 0, 0, 0, 0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -3, -14, 11, 26, 26, 17, -19, -25, 10],\n [0, 2, 12, 9, -8, -13, -3, 29, -1, -23],\n [0, 0, 28, 29, -16, 18, 13, 17, 4, -18],\n [0, 0, 0, 3, -5, 20, 8, 4, 3, -9],\n [0, 0, 0, 0, 13, -7, -27, 13, -8, -2],\n [0, 0, 0, 0, 0, -18, 19, 20, 9, -1],\n [0, 0... | 640 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 12, -2, 1, 20, 16, 10, 16, -12, 1],\n [1, 20, -23, -27, -9, -14, -11, 13, 21, -21],\n [27, 22, 30, 14, -10, -28, -10, -5, -15, 24],\n [-24, -16, 21, 1, 21, -27, 15, -30, -4, -1],\n [22, 2... | 578 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, 9, -22, 13, -21, 4, 30, 18, -30, 20],\n [30, -25, 7, -13, 19, -25, -16, -23, 30, -13],\n [10, -16, 11, 27, 4, -5, -20, 16, 26, 27],\n [-15, 15, -7, 0, 15, -27, -21, -18, -29, 3],\... | 728 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -13, -22, -12, 6, 12, -27, -21, 26, 8],\n [0, -20, 15, 3, -4, 21, 15, 15, 3, -21],\n [0, 0, -14, -5, 24, 9, -24, -25, 3, -15],\n [0, 0, 0, -12, 9, 7, -17, -18, -7, -5],\n [0, 0, 0, 0, 7... | 880 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[23, -13, -26, 20, 13, -3, -9, 23, 25, -26],\n [0, -28, -4, -27, -24, 15, -7, 28, 0, 9],\n [0, 0, -7, -4, 27, 0, -19, 16, -7, -28],\n [0, 0, 0, 20, -21, 26, -10, 3, 5, -28],\n [0, 0, 0, 0, -1... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, 12, 2, 15, -8, -24, 21, -6, -18, -8],\n [12, 21, 20, 13, -12, -5, 11, -6, 8, 0],\n [2, 20, -13, 14, 15, 8, -2, -17, -8, 4],\n [15, 13, 14, -3, -10, -14, -8, -24, 3, 4],\n [-8, -12, 15, -10, 28, -10, -6, -6, -12, -2],\n [-24, -5, 8, -14, -10, -5, 4, -1... | 942 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, -9, 28, 27, 28, -2, 7, 22, 28, -23],\n [0, 30, 19, 3, 22, 1, 23, -24, 24, 4],\n [0, 0, -22, 0, -3, 0, -29, -23, 24, 18],\n [0, 0, 0, 5, 28, -2, -18, -18, 0, 28],\n [0, 0, 0, 0, 6, 10, -30, 12, 3, 7],\n [0, 0, 0, 0, 0, 10, -28, 22, -1, 4],\n [0, 0, 0, ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-29, 6, -11, 26, -6, -9, 27, 10, -12, -20],\n [6, -11, 10, -14, 0, 23, -22, -1, 2, 2],\n [-11, 10, 17, -3, -20, 0, 16, 29, -16, 18],\n [26, -14, -3, 1, 0, -18, 18, -7, 22, -22],\n [-6, 0, -20, 0, 5, -7, 8, -4, 27, 26],\n [-9, 23, 0, -18, -7, 24, 20, 5, -2... | 423 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, -22, 0, -22, 14, 2, 10, -3, 20, -13],\n [-22, -16, 10, 3, -6, -1, -18, 4, -14, 3],\n [0, 10, -11, -17, -12, 9, 17, -23, 8, 20],\n [-22, 3, -17, -11, -8, 4, -1, 14, 13, -4],\n [14, -6, -12, -8, 20, 2, -8, -16, 12, -12],\n [2, -1, 9, 4, 2, -1, 8, 0, -8, ... | 496 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, 3, -4, 9, -3, 18, 2, 13, 18, -18],\n [3, -15, -22, 0, -25, -12, -11, -14, -2, 5],\n [-4, -22, 4, -6, 6, 15, 6, -16, -17, -9],\n [9, 0, -6, -2, 18, -22, -12, -2, -20, -7],\n [-3, -2... | 817 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[29, -23, 25, 11, -11, -23, 10, 22, -30, -22],\n [0, -28, 2, 14, -23, 21, 6, 16, -13, 9],\n [0, 0, 10, -11, 18, 21, 8, -17, 5, -11],\n [0, 0, 0, 24, 3, 20, 22, 16, -3, -7],\n [0, 0, 0, 0, -4,... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, 8, -19, -21, 12, -13, -2, -14, 16, 0],\n [8, -2, 16, 12, -2, -10, 22, -4, -20, 0],\n [-19, 16, 23, 0, -10, -18, 3, -6, 7, 4],\n [-21, 12, 0, -19, 4, 2, -4, 10, -8, -10],\n [12, -2, -10, 4, 14, 23, 5, 4, 2, -4],\n [-13, -10, -18, 2, 23, -10, -1, -16, -... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -7, 14, 19, -14, 28, 20, -18, 23, 21],\n [-6, -27, 5, -9, 3, -4, -29, 5, 18, 29],\n [-24, -27, 19, 12, 30, -6, 24, 4, -17, -4],\n [-30, 3, -18, 25, 26, 0, 13, 30, 19, 6],\n [-15, 0, -14, 13, -29, -1, 15, 0, 26, -21],\n [10, -2, -2, 10, -12, 13, -3, -8, -20, -... | 592 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 7, 17, 22, -8, 8, 6, -25, -6, 18],\n [0, 4, 1, 18, 11, 25, -2, 9, -30, -30],\n [0, 0, -4, -28, 13, 19, 25, -8, -29, 12],\n [0, 0, 0, -20, 13, 3, -15, 24, 0, -12],\n [0, 0, 0, 0, -28, -18, -28, -13, -12, 22],\n [0, 0, 0, 0, 0, 23, -22, 22, 1, -3],\n [0,... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, 9, 10, 14, -10, 6, 4, 12, -5, -4],\n [9, 29, 15, -4, 19, 28, 2, -10, 12, -5],\n [10, 15, -4, -16, -14, 10, -13, 8, -6, -24],\n [14, -4, -16, 16, -20, 6, 16, 8, 14, 2],\n [-10, 19, -14, -20, 16, 0, 5, -4, 20, 8],\n [6, 28, 10, 6, 0, -7, 24, 6, -22, -4... | 142 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, -9, -13, -4, 16, -1, 24, -27, 29, 10],\n [0, -27, 7, 7, -28, -20, 14, -3, 15, 4],\n [0, 0, 21, 3, 13, -2, -15, 30, 2, -24],\n [0, 0, 0, -30, -8, 22, -4, 25, 26, 2],\n [0, 0, 0, 0, 12, 29, -19, -20, -1, 20],\n [0, 0, 0, 0, 0, -3, -18, 29, 10, -25],\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[[-9, 21, 9, -10, 21, -26, 10, -13, 29, -21],\n [-4, -14, -11, -17, 21, 11, -29, -9, 23, -29],\n [-27, -18, 3, 21, 18, 28, 27, 5, 27, -30],\n [-8, -30, -23, -21, -23, -5, -28, -29, -29, ... | 881 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -26, 10, 0, -24, 5, 20, 2, -17, 6],\n [-26, 8, 16, -12, 0, 1, -16, 5, 0, 22],\n [10, 16, -13, -8, 8, -6, 22, 0, -8, 2],\n [0, -12, -8, -29, -27, 0, -10, 2, -7, 8],\n [-24, 0, 8, -27, 20, 0, -6, 4, -22, -14],\n [5, 1, -6, 0, 0, 15, -4, -2, 20, -18],\n ... | 465 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, 10, 12, -2, 6, -23, 29, -14, 16, -21],\n [25, 9, -28, 20, 14, 4, 14, 1, -8, 8],\n [-27, 30, 28, -7, 7, 16, 9, 22, 30, 13],\n [8, -15, 13, -28, -26, -10, 12, 29, -7, 25],\n [-3, 12, -12, ... | 695 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[3, -7, -10, 8, 2, -11, -28, -6, 30, -30],\n [-17, -13, 16, 15, -7, -4, 2, 28, 1, 27],\n [29, -30, -28, 28, 17, 15, -17, -17, 30, 0],\n [24, -21, -18, 19, 9, 16, -26, 19, -6, -22],\n [12, 5, -30, 24, -5, -26, -24, -24, -22, -1],\n [-16, -9, 18, -21, -6, -9, 3, 5, -... | 828 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, 4, -27, -5, 0, -13, -29, 4, 8, 26],\n [17, 9, -26, 24, 24, 28, 1, 28, 4, -9],\n [-1, -15, -18, 28, 21, -5, -30, -11, -16, -15],\n [3, -18, -12, -3, 7, 0, 0, 20, 8, 9],\n [-20, -29,... | 397 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-21, -9, -12, -10, 8, 10, 0, 12, 8, -16],\n [-9, -29, -16, -10, -8, 18, -10, -8, 22, 14],\n [-12, -16, -11, 26, -16, 14, -3, 13, -4, -12],\n [-10, -10, 26, -17, 10, -14, 14, -23, 10, -2],\n [8, -8, -16, 10, -27, -30, -19, 2, 13, 12],\n [10, 18, 14, -14, -30, 26, 2... | 999 | MATH |
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