messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -16, 5, -17, 4, 0, -11],\n [0, -1, -10, 17, -10, 14, -8],\n [0, 0, 13, 14, -2, 7, 14],\n [0, 0, 0, 2, 4, 3, 17],\n [0, 0, 0, 0, 17, 6, 3],\n [0, 0, 0, 0, 0, 2, -3],\n [0, 0, 0, 0, 0, 0, 14]]\nRound to the nearest integer, then take the result modulo 1000.\n\nP... | 384 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 8, 3, 4, 8, -5, 6],\n [8, -3, -2, -10, -12, -4, -1],\n [3, -2, -14, 0, 3, 0, -8],\n [4, -10, 0, -15, -6, -12, 0],\n [8, -12, 3, -6, 0, 4, -6],\n [-5, -4, 0, -12, 4, -15, -2],\n [6, -1, -8, 0, -6, -2, -12]]\nRound to the nearest integer, then take the result mod... | 784 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 0, 4, 6, -10, 6, 4],\n [0, 7, -6, 6, -6, 9, -16],\n [4, -6, 16, 4, 4, -8, 4],\n [6, 6, 4, -3, 9, 4, 4],\n [-10, -6, 4, 9, 4, 16, -16],\n [6, 9, -8, 4, 16, 6, -2],\n [4, -16, 4, 4, -16, -2, 15]]\nRound to the nearest integer, then give your answer as d... | 352 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -2, 5, -3, -3, -1, 2],\n [-2, -6, -2, -12, 0, 14, 10],\n [5, -2, -5, 12, 2, 8, 1],\n [-3, -12, 12, -2, 12, -2, 2],\n [-3, 0, 2, 12, -1, -7, -7],\n [-1, 14, 8, -2, -7, 16, -10],\n [2, 10,... | 936 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -7, -9, -17, -3, -12, 0],\n [2, 6, -7, -1, -18, -4, -4],\n [-14, -2, 16, 10, -13, 10, 7],\n [-8, -18, -3, 10, -7, -4, 18],\n [-9, -2, -4, 6, -11, 3, -12],\n [-10, -16, -10, -8, -12,... | 557 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, -8, -17, -12, -8, 9, -13],\n [18, 0, 17, 13, 16, 8, 5],\n [4, -7, -9, -12, -12, -5, -1],\n [18, 2, 17, -2, -5, -6, -11],\n [-12, -7, 14, -17, -2, 10, 2],\n [-8, 13, -1, 13, 6, 16, -8],\n [17, -8, 11, -11, -12, -8, -9]]\nRound to the nearest integer, then take ... | 269 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, -11, -18, -16, 0, -13, -15],\n [3, 18, 11, -5, 2, -18, -17],\n [0, -17, 11, -12, 6, -16, -11],\n [-7, 17, -3, -15, -18, 7, 14],\n [-14, 9, -8, 17, -5, 4, 10],\n [-14, 12, 4, -18, -5, -16, -18],\n [5, 2, -5, -10, 11, -11, 7]]\nRound to the nearest inte... | 910 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 1, -14, 16, -9, -10, -18],\n [0, -3, -17, -10, -9, 8, 17],\n [0, 0, 7, 1, -7, 10, -3],\n [0, 0, 0, 13, 4, -4, 5],\n [0, 0, 0, 0, -1, 10, 16],\n [0, 0, 0, 0, 0, -12, -6],\n [0, 0, 0,... | 644 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, -3, 5, -14, 5, 7, 11],\n [0, -5, 3, 0, 7, 16, -7],\n [0, 0, 1, 6, 2, -12, 0],\n [0, 0, 0, 5, -9, 5, 15],\n [0, 0, 0, 0, 2, 13, 6],\n [0, 0, 0, 0, 0, -11, 4],\n [0, 0, 0, 0, 0, 0, 1... | 700 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, -2, 12, -11, -18, 9, 7],\n [-18, 10, 6, 14, -9, 16, 18],\n [-2, -5, 1, -3, -15, -1, -15],\n [7, -6, 6, 2, -6, 2, -4],\n [12, -14, 2, 2, -10, -10, -10],\n [-10, -5, 3, -15, 11, -7, 18],\n ... | 852 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 14, 8, 12, 13, -13, -16],\n [0, -8, 7, 17, -12, 15, -12],\n [0, 0, -2, 17, 8, 7, -13],\n [0, 0, 0, -11, -18, -2, 9],\n [0, 0, 0, 0, 14, -1, 4],\n [0, 0, 0, 0, 0, -5, 10],\n [0, 0, 0, 0, ... | 80 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 17, 9, 5, -15, -6, 9],\n [11, 3, 12, -12, -6, 10, 9],\n [-2, 5, -5, -12, -18, -14, -8],\n [2, 9, -6, 17, 15, 12, 2],\n [-12, 11, 12, 7, 4, 12, 14],\n [5, -9, -15, 16, 16, -9, -6],\n [8, ... | 494 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, -7, -8, -14, 9, -10, 15],\n [-14, -8, 5, 3, -3, -17, 2],\n [-18, 7, -10, 1, -12, 12, -10],\n [-6, -14, 8, 0, -4, 0, 10],\n [9, -5, -5, -4, 0, -3, 16],\n [17, 14, 18, 1, 5, 6, 15],\n [-9, 5, -2, -5, -3, 7, 12]]\nRound to the nearest integer, then take the resul... | 276 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 10, -11, -13, 6, 18, 9],\n [13, 16, -6, -8, -12, -9, 8],\n [-13, -12, -1, -6, -6, -5, -3],\n [-1, 11, -6, 4, 0, -11, -2],\n [17, -11, 15, 11, -13, -16, 5],\n [9, 5, -7, 16, 17, 0, 18],\n [-1, -16, -10, 3, 2, -4, -8]]\nRound to the nearest integer, th... | 758 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, 4, 16, -9, -11, -13, -17],\n [17, -4, 18, 6, -4, -11, -12],\n [-9, -3, 16, 4, 15, -16, -17],\n [11, 10, -10, 16, 5, -17, -17],\n [0, -8, 5, -3, 13, 6, -12],\n [-1, -11, 13, -15, 2, -6, 14],\n [5, -13, 2, 12, -10, 15, -18]]\nRound to the nearest integer, then t... | 201 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-10, 17, -1, 5, -16, 2, -8],\n [0, -7, -13, -12, -15, -11, 4],\n [0, 0, 14, -14, -13, 4, -4],\n [0, 0, 0, -3, -5, 2, -17],\n [0, 0, 0, 0, -5, -6, 8],\n [0, 0, 0, 0, 0, 17, 3],\n [0, 0, 0, 0, 0, 0, -18]]? Round to the nearest integer, then express your answ... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -13, -7, 10, 16, 13, -10],\n [-16, -9, -3, -4, -9, 4, 18],\n [-10, 14, -2, 14, 16, -1, -10],\n [-5, -1, 2, -14, -13, 10, 15],\n [-18, 7, 1, -11, -7, 9, 5],\n [-10, -16, 14, -15, -11, 9, 18],\n [-6, -3, 4, -15, -11, 0, 14]]\nRound to the nearest integer... | 61 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, -11, 10, -1, 15, -11, -9],\n [16, -3, 5, -11, -8, -14, 5],\n [17, -14, 11, -8, 7, -16, 18],\n [-6, -5, 7, -9, 4, -8, -15],\n [-6, 12, -1, 15, -5, 6, 6],\n [-17, -1, -1, 4, -17, 2, -18],\n [10, 13, 17, -6, -6, -16, 11]]\nRound to the nearest integer, th... | 186 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[6, 17, -5, 15, 3, -18, 4],\n [0, 2, -14, -13, 1, 17, 2],\n [0, 0, 6, -2, -16, -9, -13],\n [0, 0, 0, 17, -18, 12, -2],\n [0, 0, 0, 0, 3, 16, -3],\n [0, 0, 0, 0, 0, -7, 8],\n [0, 0, 0, 0, 0, 0, 3]]? Round to the nearest integer, then express your answer modu... | 888 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, -6, -6, 10, -14, -5, 3],\n [-2, 0, 17, -7, 6, 4, -2],\n [16, 5, -7, -5, -5, -9, -18],\n [4, 9, -12, 13, -8, -10, 5],\n [-15, -2, 2, 6, 14, -16, -15],\n [-6, 10, 17, -13, 16, -5, -18],\n [-12, 12, 1, 10, 8, 3, -4]]? Round to the nearest integer, then ex... | 76 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, -4, 0, -9, 15, -6, -10],\n [-4, 8, 8, 0, 8, 11, 6],\n [0, 8, 7, -8, -12, -2, -16],\n [-9, 0, -8, -6, -4, 12, -4],\n [15, 8, -12, -4, 1, 12, 8],\n [-6, 11, -2, 12, 12, 17, 5],\n [-1... | 913 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -15, 4, 11, -8, 6, -8],\n [-9, -15, -13, 13, -15, -10, -9],\n [9, -6, 13, -2, -1, -12, -5],\n [13, -9, 8, -13, -18, 14, -9],\n [-1, -3, -8, 0, 9, -18, 5],\n [12, 12, -8, -6, -15, 6, -2],\... | 572 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -2, -13, -18, 18, -7, -14],\n [0, -16, -15, -14, 4, 17, -10],\n [0, 0, 1, 13, 10, -9, 18],\n [0, 0, 0, -1, -4, 2, -7],\n [0, 0, 0, 0, 14, 17, -18],\n [0, 0, 0, 0, 0, 5, 1],\n [0, 0, 0, 0, 0, 0, 15]]? Round to the nearest integer, then express your answ... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -2, 5, -2, 8, -4, 5],\n [-2, -17, 2, -6, 6, 10, -5],\n [5, 2, 12, 10, 5, 4, -10],\n [-2, -6, 10, -17, -5, 8, 6],\n [8, 6, 5, -5, -17, 4, -9],\n [-4, 10, 4, 8, 4, -2, -14],\n [5, -5, -10, 6, -9, -14, 16]]? Round to the nearest integer, then express your... | 880 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, -14, -1, 1, 4, -12, 13],\n [-14, 1, -9, 1, 2, -10, -7],\n [-1, -9, -5, 0, 2, -1, -10],\n [1, 1, 0, 11, -4, -2, -2],\n [4, 2, 2, -4, -4, -4, -6],\n [-12, -10, -1, -2, -4, -17, 3],\n [13, -7, -10, -2, -6, 3, -15]]? Round to the nearest integer, then exp... | 620 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 2, 17, -5, -13, -11, -18],\n [0, 7, -11, -13, -13, 8, -2],\n [0, 0, -15, -17, 18, 1, -18],\n [0, 0, 0, -15, -12, 5, -4],\n [0, 0, 0, 0, 9, -14, 14],\n [0, 0, 0, 0, 0, -10, -14],\n [0, 0,... | 500 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, -14, -4, -9, 14, 4, -7],\n [0, -8, 1, -15, -4, -2, 1],\n [0, 0, -9, 18, -16, 10, 5],\n [0, 0, 0, 7, -5, -12, -6],\n [0, 0, 0, 0, 14, 2, 0],\n [0, 0, 0, 0, 0, 1, -2],\n [0, 0, 0, 0, 0, 0,... | 728 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, -13, -18, -18, 1, -12, 9],\n [-17, -14, -12, -11, 9, 6, 4],\n [3, 6, -18, 14, 14, -5, -18],\n [5, -7, -6, 4, -15, 15, 8],\n [13, 8, -18, -7, -12, -12, -3],\n [9, 15, -10, 18, 3, -7, -12],\n [7, 18, -13, 8, 8, 10, 15]]? Round to the nearest integer, then... | 706 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 7, -12, -3, -17, 9, 7],\n [0, -11, -8, 14, -6, -13, 0],\n [0, 0, 5, 16, -12, -10, -18],\n [0, 0, 0, 9, 7, 16, -1],\n [0, 0, 0, 0, -12, -6, -8],\n [0, 0, 0, 0, 0, 2, 15],\n [0, 0, 0, 0, 0, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 15, -16, 0, -13, 14, -7],\n [5, -5, -2, 17, 1, -11, 6],\n [-15, 10, -16, 12, 18, -9, -7],\n [-16, -10, -5, -5, 0, -2, 18],\n [3, 2, 12, -7, 15, -5, -1],\n [-9, 13, 4, -9, -1, -15, -... | 616 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, 4, 16, 8, 6, 7, 16],\n [10, 11, -6, -12, -6, -18, 13],\n [4, -2, 1, 13, -8, 1, 9],\n [12, -15, 3, -15, 7, -16, 15],\n [2, -4, 7, 8, 9, 11, 4],\n [18, -15, 14, -2, 2, 0, -7],\n [13,... | 580 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, -11, -15, 18, -9, 13, -12],\n [0, -3, 16, -8, -9, 9, -2],\n [0, 0, -1, -15, -14, 9, 18],\n [0, 0, 0, -1, -18, 18, 12],\n [0, 0, 0, 0, 16, -4, 16],\n [0, 0, 0, 0, 0, -3, 17],\n [0, 0, 0, 0, 0, 0, 1]]? Round to the nearest integer, then express your answ... | 568 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -9, -2, 8, -12, 9, -5],\n [-4, 6, -15, 6, -5, -10, -2],\n [12, -1, -4, 14, -5, -13, 7],\n [13, 0, 4, 7, -8, -6, 2],\n [4, 16, 11, -4, -16, -11, -12],\n [4, 16, 0, -16, -8, 1, 15],\n [2, -2, 12, 11, -3, 17, 18]]? Round to the nearest integer, then expres... | 17 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, 0, 3, 7, -12, 11, 6],\n [18, -1, -17, 15, 5, 10, -9],\n [12, -12, 15, 10, 10, 4, -8],\n [3, -17, -15, 14, -5, -6, -8],\n [-18, 2, 14, 0, -17, 2, -3],\n [16, -12, -15, 17, -4, 9, 12],\n [1, 8, 1, -8, 7, -18, 9]]\nRound to the nearest integer, then take the resu... | 134 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -5, -6, 4, -4, 12, 2],\n [-5, 8, -6, 14, 1, -6, -2],\n [-6, -6, -14, 4, 4, -2, -2],\n [4, 14, 4, -14, 15, 13, -7],\n [-4, 1, 4, 15, -13, -2, -7],\n [12, -6, -2, 13, -2, 2, -6],\n [2... | 958 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -17, 2, -6, 8, 5, -14],\n [-7, -9, 1, -15, 0, 14, -12],\n [-5, -2, -2, -11, -12, 4, 4],\n [7, -8, -3, 1, 0, 15, -9],\n [6, 9, -13, 6, 1, 18, 12],\n [-16, -4, -9, -13, -14, -18, 13],\n [-2, -14, 15, 3, -10, 9, -2]]? Round to the nearest integer, then e... | 860 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 11, -2, 8, 0, -7, 2],\n [0, -12, 11, 12, 9, -16, -11],\n [0, 0, -2, 10, 9, -9, -14],\n [0, 0, 0, 7, 14, 13, 0],\n [0, 0, 0, 0, -1, -8, 16],\n [0, 0, 0, 0, 0, 7, 9],\n [0, 0, 0, 0, 0, 0, ... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 3, -10, 12, -4, -12, -4],\n [-3, -3, -15, 14, 6, -15, -4],\n [-7, 17, -9, -17, -11, -15, 5],\n [-15, -7, 1, 16, 16, -10, -8],\n [11, 18, -1, 17, -5, 3, -13],\n [16, -15, -10, 9, -6, -9, 11],\n [-8, -1, 10, -9, -13, -7, 1]]\nRound to the nearest integer... | 728 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, 8, 14, 1, 16, -11, 10],\n [-5, -4, -11, -18, 17, 2, 11],\n [-12, -13, -11, 11, 3, -4, -18],\n [-6, -18, 12, 13, 2, -10, -15],\n [-9, -5, 6, -7, 9, -10, 13],\n [-5, -9, -9, -18, 1, -1, 16... | 741 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, -12, -12, -9, 8, 16, -16],\n [-1, -17, 1, 5, 8, -9, -13],\n [-12, -8, 1, 6, -17, -13, -16],\n [-17, 5, -6, -14, -14, -16, 16],\n [15, -17, 4, -5, -2, 4, -11],\n [-6, -4, -12, 6, 1... | 620 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[16, -2, 5, 0, 14, -8, 10],\n [-2, 8, 0, 15, -2, -2, 16],\n [5, 0, 11, -14, 16, 2, -6],\n [0, 15, -14, -11, 1, 9, -3],\n [14, -2, 16, 1, -16, -12, -4],\n [-8, -2, 2, 9, -12, 15, 0],\n [10, 16, -6, -3, -4, 0, -9]]? Round to the nearest integer, then express ... | 716 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 6, -8, -8, 0, -1, 11],\n [6, 3, 0, 4, -10, 10, -2],\n [-8, 0, -1, -4, -1, 4, 9],\n [-8, 4, -4, -18, 3, 2, 0],\n [0, -10, -1, 3, 14, 1, 2],\n [-1, 10, 4, 2, 1, -1, -7],\n [11, -2, 9,... | 932 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, 10, 9, 6, -2, 2, -7],\n [10, -13, -15, -4, -3, -10, 16],\n [9, -15, -8, -10, 10, -4, 12],\n [6, -4, -10, 1, -2, 8, 6],\n [-2, -3, 10, -2, 7, -10, -2],\n [2, -10, -4, 8, -10, 6, -3],\n [-7... | 740 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, -16, -1, -18, 13, -5, 17],\n [-15, -15, -18, 16, -4, 16, -15],\n [-4, 4, 14, -12, -15, -14, -9],\n [-7, 14, 15, 15, 6, 0, -15],\n [5, 13, 13, -3, 3, -4, 1],\n [9, -9, -3, -2, 17, 10, -2],\n [11, 11, 1, 9, -9, 8, -17]]? Round to the nearest integer, the... | 280 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, 18, -2, -16, 8, -13, -7],\n [-2, 0, -15, -1, -12, 5, 17],\n [5, 0, 17, 0, 4, -4, 2],\n [-1, 3, 5, -8, -8, 10, -13],\n [9, 3, -17, 14, 4, 7, -13],\n [-14, -2, -1, -14, 10, 13, 16],\n [-10, -8, -1, 12, 17, -18, 11]]? Round to the nearest integer, then ex... | 827 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, 2, -7, -3, -7, 0, -4],\n [2, 18, 0, 15, -10, 4, -6],\n [-7, 0, 13, 0, -8, 4, 18],\n [-3, 15, 0, -1, -15, 4, 6],\n [-7, -10, -8, -15, 11, 2, 4],\n [0, 4, 4, 4, 2, 15, 8],\n [-4, -6, 18, 6, 4, 8, -14]]? Round to the nearest integer, then express your answ... | 166 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, -2, -6, -4, -10, 6, 4],\n [-2, -2, 4, -18, 11, 1, 3],\n [-6, 4, 18, -6, -2, 2, 6],\n [-4, -18, -6, -15, -9, -14, -6],\n [-10, 11, -2, -9, 11, 8, 12],\n [6, 1, 2, -14, 8, 12, -14],\n [4, 3, 6, -6, 12, -14, 9]]? Round to the nearest integer, then express ... | 984 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 2, 8, -9, 16, -5, 10],\n [0, 18, -17, 3, 18, 14, 10],\n [0, 0, -1, -3, -7, -5, -10],\n [0, 0, 0, -1, 6, -2, 4],\n [0, 0, 0, 0, 9, -11, -15],\n [0, 0, 0, 0, 0, 13, 8],\n [0, 0, 0, 0, 0, 0, 14]]\nRound to the nearest integer, then give your answer as det... | 968 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[16, -9, -16, 8, -9, -9, -18],\n [0, 8, 12, -12, -2, 0, -16],\n [0, 0, -3, 10, -15, -3, 0],\n [0, 0, 0, 3, 5, -4, -8],\n [0, 0, 0, 0, 16, -18, 3],\n [0, 0, 0, 0, 0, 11, 3],\n [0, 0, 0, 0, 0, 0, 11]]? Round to the nearest integer, then express your answer mo... | 728 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, -10, 5, -11, -8, 10, 7],\n [-12, -9, 8, -15, 16, 18, 5],\n [7, 8, 11, 13, 7, 10, 1],\n [5, 18, 15, -18, -2, 13, 3],\n [4, 6, 12, -2, 3, -4, 10],\n [-2, -12, 7, 6, 17, -13, -15],\n ... | 396 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 0, 2, 4, 6, 15, -15],\n [0, 9, -1, -4, -10, -3, -14],\n [2, -1, 14, 6, -3, -7, -2],\n [4, -4, 6, -14, -2, 0, 0],\n [6, -10, -3, -2, -5, -2, -4],\n [15, -3, -7, 0, -2, -16, -8],\n [... | 672 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 11, 3, 9, -13, 13, 6],\n [-6, -9, -2, -5, -3, 9, -6],\n [8, -2, -9, 16, -9, 14, 18],\n [7, 7, 13, 3, 11, -13, 5],\n [-4, -8, 14, 8, -11, -11, -8],\n [0, 14, -4, -12, -10, -9, -7],\n [-5, -16, 4, 9, 18, -11, 14]]\nRound to the nearest integer, then give... | 555 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, 16, -9, -1, 3, 18, 9],\n [0, -3, 12, -8, -15, -12, -12],\n [0, 0, -2, 15, 2, 15, -10],\n [0, 0, 0, 4, 11, -16, -2],\n [0, 0, 0, 0, -4, -15, 12],\n [0, 0, 0, 0, 0, -12, 11],\n [0, 0, 0, 0, 0, 0, -5]]\nRound to the nearest integer, then give your answer... | 120 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -1, -14, -8, -12, -14, -13],\n [5, 15, -1, 14, 18, -8, -2],\n [11, 17, 1, -17, -6, 15, 15],\n [-3, -12, -2, -1, -5, -17, -7],\n [-5, -7, 13, -3, 1, 2, -4],\n [0, 10, -2, -10, 18, -14, -16],\n [-10, -8, 16, -6, -1, -3, -17]]\nRound to the nearest integer, then... | 992 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -13, 7, -15, -1, -2, 14],\n [12, -5, 8, -6, 9, -13, 18],\n [16, -13, 11, 0, 3, 18, -5],\n [-13, -17, 5, 15, 1, 12, -2],\n [-15, 8, -18, 4, -9, 6, 4],\n [3, -14, 13, -14, 1, -10, -6],\n [... | 856 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, 14, -12, 2, 10, 1, -4],\n [0, -9, -11, 2, 3, -5, 12],\n [0, 0, -1, -12, -5, -1, -12],\n [0, 0, 0, -17, 0, -11, 18],\n [0, 0, 0, 0, -15, -17, 11],\n [0, 0, 0, 0, 0, 17, 0],\n [0, 0, 0, 0, 0, 0, 13]]? Round to the nearest integer, then express your answ... | 685 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 17, 11, 12, 13, 3, 0],\n [0, -9, -11, 17, -6, 4, 13],\n [0, 0, -16, 10, -9, -6, -11],\n [0, 0, 0, -1, 7, -16, 5],\n [0, 0, 0, 0, 7, -17, 14],\n [0, 0, 0, 0, 0, -1, 6],\n [0, 0, 0, 0, 0, 0, 9]]\nRound to the nearest integer, then give your answer as de... | 352 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, 13, 14, -14, 16, -1, 1],\n [-6, -9, -2, -15, 4, 2, -18],\n [16, -13, 2, 0, 18, 1, -8],\n [-13, -1, 11, 0, 11, -2, -13],\n [-1, -5, -14, -15, -10, 16, -17],\n [-11, 9, -2, -11, 9, 11, -1... | 918 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, -10, 0, 18, -15, -10, -15],\n [0, 11, -1, 11, -10, 12, 13],\n [0, 0, -7, -17, -11, 3, 6],\n [0, 0, 0, -2, -5, 14, 2],\n [0, 0, 0, 0, 2, -7, 16],\n [0, 0, 0, 0, 0, 6, -14],\n [0, 0, 0, 0... | 120 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -4, 7, -18, -7, 4, -12],\n [-1, 6, 9, -15, 4, 15, -17],\n [-5, -7, -17, 18, 13, 2, 8],\n [18, 2, -3, -12, 6, -5, -8],\n [-8, -5, 17, 16, -10, -17, 16],\n [-1, -17, -5, -15, -2, 10, 9],\n... | 636 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -11, -4, -12, 12, -2, -17],\n [0, -12, 10, -5, -17, 3, 14],\n [0, 0, 8, -3, 0, -15, -17],\n [0, 0, 0, -4, -11, -10, -1],\n [0, 0, 0, 0, -17, 11, 9],\n [0, 0, 0, 0, 0, -18, -7],\n [0, 0, 0... | 8 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 13, -6, -9, -7, -16, 3],\n [0, -10, -9, -17, 6, -12, -16],\n [0, 0, 5, -12, -4, 12, -6],\n [0, 0, 0, 16, -5, -1, -11],\n [0, 0, 0, 0, 2, 17, 0],\n [0, 0, 0, 0, 0, 13, -15],\n [0, 0... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 8, 11, 12, 4, 7, 4],\n [8, -16, 5, -6, -5, 0, -14],\n [11, 5, -11, 4, -12, 5, 6],\n [12, -6, 4, -4, -1, -11, 6],\n [4, -5, -12, -1, -8, 7, 14],\n [7, 0, 5, -11, 7, -7, 2],\n [4, -14, 6,... | 264 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, -8, -4, -11, 4, -6, -4],\n [0, -2, 1, 13, 18, -9, -17],\n [0, 0, 11, -13, -12, 8, -14],\n [0, 0, 0, 13, -6, 9, -1],\n [0, 0, 0, 0, -3, -16, -1],\n [0, 0, 0, 0, 0, 2, -18],\n [0, 0,... | 320 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 18, -14, -9, -7, 2, -13],\n [0, -13, 10, -8, -12, 4, 7],\n [0, 0, 1, 1, -6, -15, 5],\n [0, 0, 0, 3, 1, -5, -4],\n [0, 0, 0, 0, 15, 2, -2],\n [0, 0, 0, 0, 0, 1, -8],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as det(A... | 340 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, 14, -16, 2, 7, 16, 8],\n [0, 1, -10, -7, -3, 0, -13],\n [-18, 12, 15, -13, 11, 8, 2],\n [11, 1, -2, -5, -18, 2, 9],\n [-8, 15, -2, 7, 0, -8, 4],\n [1, 17, 16, -12, -16, -11, 1],\n [-5, -4, 14, 12, -2, -1, -8]]\nRound to the nearest integer, then give... | 63 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 3, 1, 4, -9, -11, 3],\n [4, -7, -1, -6, -4, -16, -12],\n [-4, 5, -4, 4, 9, -4, 10],\n [-9, -10, 14, 5, 4, 3, -9],\n [6, -14, -16, 3, 17, 13, -1],\n [8, 5, -16, -7, 15, 1, 1],\n [-18, 10, -12, 16, -12, -7, 3]]? Round to the nearest integer, then expres... | 180 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, -4, 2, 6, 2, -18, 4],\n [0, -5, 17, 15, 2, -3, 0],\n [0, 0, 9, 9, 10, 6, 16],\n [0, 0, 0, 4, 16, -5, -18],\n [0, 0, 0, 0, -6, 3, 13],\n [0, 0, 0, 0, 0, 5, -4],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as det(A) mod... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[7, -11, -7, 5, -2, -5, 14],\n [0, 18, -9, 7, 6, 4, 2],\n [0, 0, 1, -8, 15, -2, -11],\n [0, 0, 0, -11, 1, -3, 0],\n [0, 0, 0, 0, 6, -1, 9],\n [0, 0, 0, 0, 0, -2, 18],\n [0, 0, 0, 0, 0, 0, 13]]\nRound to the nearest integer, then give your answer as det(A) ... | 216 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-17, 0, -6, -2, -8, -6, 10],\n [0, -16, 0, -8, 6, -8, -3],\n [-6, 0, -13, -4, -3, -12, 6],\n [-2, -8, -4, -12, 6, 8, -4],\n [-8, 6, -3, 6, 11, -8, 14],\n [-6, -8, -12, 8, -8, -13, -6],\n [10, -3, 6, -4, 14, -6, 5]]\nRound to the nearest integer, then take the resu... | 476 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -11, -18, 8, -7, 18, 9],\n [-5, -16, 0, 1, 10, 18, 15],\n [-7, -8, 10, -13, -6, 16, -7],\n [-14, 15, 9, -7, 3, 2, -1],\n [-7, 7, 5, 15, -8, -9, 18],\n [-4, -9, -9, 18, 0, -9, -2],\n [0, -18, 10, -4, 15, -2, 16]]\nRound to the nearest integer, then take the res... | 114 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -3, 16, 8, -7, 15, 6],\n [-2, -10, 7, 3, 6, -14, 17],\n [-3, -2, -7, -17, 15, 0, -16],\n [-14, -1, -14, 11, 9, 7, -1],\n [13, 9, -13, -9, -17, 11, -4],\n [-1, 15, 7, 10, -10, 3, 18],\n [-8, 5, 10, -6, 17, -3, -4]]\nRound to the nearest integer, then take the r... | 102 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, -8, 2, 8, 12, 7, -8],\n [-8, 7, -2, -2, 7, 2, 4],\n [2, -2, -8, -3, 0, 8, 8],\n [8, -2, -3, 15, 6, 0, 4],\n [12, 7, 0, 6, -5, 4, 8],\n [7, 2, 8, 0, 4, 18, -2],\n [-8, 4, 8, 4, 8, -... | 80 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, 4, 1, 11, -18, -8, 17],\n [0, -3, -6, 11, 13, 16, 6],\n [0, 0, -2, -4, -16, -3, -3],\n [0, 0, 0, -2, 10, 13, 4],\n [0, 0, 0, 0, 4, -7, 16],\n [0, 0, 0, 0, 0, -13, 10],\n [0, 0, 0, 0, 0, 0, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\... | 520 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -2, 3, 0, 6, 11, 10],\n [-2, 11, -2, 5, 14, -13, -4],\n [3, -2, -10, -4, -7, 7, -2],\n [0, 5, -4, -15, -6, 8, 3],\n [6, 14, -7, -6, -10, -6, -8],\n [11, -13, 7, 8, -6, 1, 0],\n [10, -4, -2, 3, -8, 0, 0]]\nRound to the nearest integer, then take the result modu... | 777 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 10, -4, 8, -15, 6, 7],\n [1, 2, -5, -3, -14, -7, -4],\n [-15, 10, 0, -9, -4, -18, 9],\n [8, 17, -12, -3, 2, 3, 6],\n [16, -18, 11, 3, 16, -14, -7],\n [-16, -7, 17, 13, 15, 1, 3],\n [11, -... | 776 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 1, 2, 4, -7, -4, -5],\n [1, -10, 6, 4, 0, 12, -4],\n [2, 6, -1, -5, 6, 2, -3],\n [4, 4, -5, 0, 3, 4, -4],\n [-7, 0, 6, 3, -12, 14, 4],\n [-4, 12, 2, 4, 14, 11, -3],\n [-5, -4, -3, -4, 4, -3, -4]]\nRound to the nearest integer, then give your answer a... | 522 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 9, -18, 18, 3, 15, 16],\n [0, -12, -8, 6, -10, 17, -3],\n [0, 0, -8, -6, 6, 17, 0],\n [0, 0, 0, 10, 15, 6, 9],\n [0, 0, 0, 0, 1, -14, -2],\n [0, 0, 0, 0, 0, -9, -16],\n [0, 0, 0, 0, 0, 0... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -13, 10, 2, 10, 6, 18],\n [14, -15, -7, -6, 1, -1, -1],\n [-5, -2, 2, 7, 17, 7, 9],\n [15, 6, -11, -14, 9, 15, 7],\n [9, 17, 8, -2, 1, -5, 2],\n [13, 4, 18, -11, 0, 10, -14],\n [13, 1, 0, 5, 13, 6, 8]]\nRound to the nearest integer, then give your ans... | 237 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 9, 16, 0, -16, 7, 5],\n [-17, -10, 18, 2, 4, -14, -7],\n [-18, 18, -8, 6, -5, 18, -11],\n [-14, -1, 14, 15, -2, -18, 7],\n [6, 3, 1, 6, -12, -16, -11],\n [16, 9, -14, -17, -10, 2, 14],\n [-16, -5, -13, -10, 5, -4, 3]]\nRound to the nearest integer, th... | 726 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 4, 1, 10, 7, 10, 6],\n [4, 12, -14, -2, -5, 7, 6],\n [1, -14, 6, -14, 2, 18, -4],\n [10, -2, -14, -16, -10, 0, -6],\n [7, -5, 2, -10, 16, -4, 10],\n [10, 7, 18, 0, -4, 5, -1],\n [6,... | 708 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -6, -3, 3, 18, -6, 5],\n [-6, 11, -6, 17, 15, 9, -8],\n [-3, -6, -5, -6, 6, 1, 0],\n [3, 17, -6, -13, 18, 3, -15],\n [18, 15, 6, 18, 16, -2, 0],\n [-6, 9, 1, 3, -2, -3, -14],\n [5, -8, 0... | 419 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-17, -16, -6, -11, 12, -8, 5],\n [-6, -9, 7, 7, 14, -4, 5],\n [-4, 14, -12, 10, 0, 0, 10],\n [14, 0, -6, 0, 18, -17, 12],\n [18, -10, -5, -2, -17, 7, 1],\n [-14, 17, -13, -2, 1, 18, 8],\n [13, -9, 1, -18, -18, -12, 11]]\nRound to the nearest integer, then take the... | 214 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 5, 11, 0, -4, 4, 2],\n [5, 14, -13, 7, 7, 2, -14],\n [11, -13, 14, -10, -1, 12, 4],\n [0, 7, -10, 4, 4, 3, -12],\n [-4, 7, -1, 4, 1, -5, 4],\n [4, 2, 12, 3, -5, 0, -14],\n [2, -14, ... | 952 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, -12, 7, 4, 7, -4, -2],\n [-12, 10, -10, 0, 0, -12, -2],\n [7, -10, -14, 2, 8, 9, 6],\n [4, 0, 2, -10, 1, -8, 2],\n [7, 0, 8, 1, -1, 0, 8],\n [-4, -12, 9, -8, 0, -12, -4],\n [-2, -2, 6, 2, 8, -4, 0]]\nRound to the nearest integer, then give your answer... | 572 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, -8, 5, -5, -8, -9, -16],\n [0, 12, -10, -17, 15, -17, -9],\n [0, 0, -5, 9, -6, 18, 4],\n [0, 0, 0, 3, 5, 5, 15],\n [0, 0, 0, 0, -1, 15, -17],\n [0, 0, 0, 0, 0, 11, 1],\n [0, 0, 0, 0, 0, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, -14, -3, 13, -1, 4, -9],\n [0, 10, 7, 10, -3, -18, 13],\n [0, 0, 18, 11, 17, 12, -7],\n [0, 0, 0, 5, 2, 3, -7],\n [0, 0, 0, 0, 15, 14, -4],\n [0, 0, 0, 0, 0, -4, -13],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as ... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, -17, 5, -1, -1, -10, -5],\n [0, -6, -5, -3, 18, -18, 8],\n [-18, 0, 10, -6, 0, 2, 4],\n [7, 10, -11, -5, 9, 6, -1],\n [18, -15, 14, -16, 6, 2, -14],\n [-9, -7, -11, -9, -7, -12, 7],\n [-8, 5, 13, 5, 1, -6, 7]]\nRound to the nearest integer, then give... | 584 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 4, -5, 8, 0, -2, -1],\n [4, 1, -1, 8, 8, 10, 8],\n [-5, -1, 8, 6, 1, -4, 12],\n [8, 8, 6, -13, 15, -4, -1],\n [0, 8, 1, 15, 18, -4, 6],\n [-2, 10, -4, -4, -4, 17, 14],\n [-1, 8, 12, -1,... | 834 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, -7, 10, 12, -2, 6, -18],\n [16, -7, 7, -16, 10, -11, -8],\n [4, 13, 7, 10, -18, -5, -2],\n [18, -10, 1, -5, 16, -12, 18],\n [-16, -3, 14, 13, -9, 10, -6],\n [-9, -10, -16, -5, -3, -14, 1],\n [-2, -4, -8, -15, 1, 10, 4]]\nRound to the nearest integer, then take ... | 764 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -18, 15, -6, 7, 2, -9],\n [-14, -5, -2, 16, -5, -2, -6],\n [2, 1, 18, 12, -5, -17, -10],\n [4, -8, 1, -18, -11, -16, 9],\n [-14, -14, -16, -17, 14, 12, -8],\n [-14, -7, 1, -1, 12, 15, -1... | 824 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, 13, 9, 14, 18, -18, -1],\n [0, 4, -17, 2, -13, 8, 12],\n [0, 0, -4, -17, -10, 10, 8],\n [0, 0, 0, -1, 17, 9, -9],\n [0, 0, 0, 0, -4, -2, 10],\n [0, 0, 0, 0, 0, 5, 5],\n [0, 0, 0, 0, 0, 0, -17]]\nRound to the nearest integer, then give your answer as de... | 320 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 16, -16, -15, -5, -11, -13],\n [2, -8, -2, 6, -9, -1, -2],\n [-7, 1, -15, -4, -15, 18, -4],\n [-11, 16, 1, 15, 12, 13, 13],\n [10, -12, 7, 1, -17, 2, -6],\n [-11, 18, -15, -18, 5, -7, -8],\n [14, 8, -12, 5, 11, 1, -9]]\nRound to the nearest integer, then take ... | 382 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-17, -6, -2, -2, -4, 4, 8],\n [-6, -1, 0, 4, -12, -14, -10],\n [-2, 0, -14, 5, -11, -10, -13],\n [-2, 4, 5, -3, -2, 9, 10],\n [-4, -12, -11, -2, -6, 8, 0],\n [4, -14, -10, 9, 8, 16, -8],\n [8, -10, -13, 10, 0, -8, -11]]\nRound to the nearest integer, then... | 727 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, -11, -9, 6, -3, 15, 12],\n [-10, -2, -7, 16, -12, -3, 15],\n [16, 6, 18, -16, -10, 0, -1],\n [11, 1, -3, 1, -2, 18, 1],\n [-7, 17, 18, 10, 0, 16, -17],\n [-1, -10, 6, 9, 10, -16, 3],\n [1, -9, 13, 7, -7, -2, -13]]\nRound to the nearest integer, then take the r... | 604 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, -18, 3, 7, -10, -15, -14],\n [-10, 10, -15, -2, 4, 2, 9],\n [6, -9, 5, 10, -17, -3, 9],\n [0, 17, 9, -7, -15, 16, 14],\n [-8, 5, 12, 13, 8, 12, 15],\n [-9, 10, 15, 9, -17, 9, 5],\n [-8, -10, -6, -16, -17, 0, 5]]\nRound to the nearest integer, then take the resu... | 776 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -9, 1, 10, -6, 17, -17],\n [0, 1, 7, -12, -7, -6, -13],\n [0, 0, -12, -17, 13, 13, -13],\n [0, 0, 0, -8, -6, -14, 11],\n [0, 0, 0, 0, 10, -17, -17],\n [0, 0, 0, 0, 0, -2, -5],\n [0, 0, 0, 0, 0, 0, -5]]? Round to the nearest integer, then express your an... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 10, -2, -11, -3, 12, -8],\n [10, 15, -4, 4, 6, 0, 10],\n [-2, -4, 17, 4, 4, -6, -1],\n [-11, 4, 4, 13, -6, 7, -2],\n [-3, 6, 4, -6, -9, 0, -8],\n [12, 0, -6, 7, 0, 2, 2],\n [-8, 10, -1,... | 796 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -15, 3, -2, -7, 0, 3],\n [-5, 13, 14, -9, 5, -6, 15],\n [11, 11, 12, -14, 8, -8, -5],\n [6, 3, -4, 2, -18, 4, 5],\n [-15, 8, -18, 3, 3, 13, 18],\n [-10, 12, 0, 17, -5, -4, -18],\n [11, 0, -11, -15, -16, 17, 2]]? Round to the nearest integer, then expr... | 672 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, 6, -2, -10, -2, -6, 8],\n [6, -16, 2, -4, 4, -12, -3],\n [-2, 2, -14, -14, 7, 8, -10],\n [-10, -4, -14, 3, 4, -6, 6],\n [-2, 4, 7, 4, -16, -15, -8],\n [-6, -12, 8, -6, -15, -14, 0],\n [... | 376 | MATH |
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