messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[18, -18, 13, -16, -13, -13, 5],\n [8, 0, 10, -14, -14, -16, -13],\n [13, 12, 6, 17, 13, 18, 12],\n [1, 6, 15, -1, 0, 9, 8],\n [-1, -10, -16, 10, -3, 12, -5],\n [3, -8, -1, -6, 9, 7, -12],\n [2, 11, -15, -2, 16, -17, -9]]\nRound to the nearest integer, then take th... | 818 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, 11, 16, 18, 8, -16, 0],\n [3, -14, 2, 15, -17, 6, -6],\n [-15, 0, 4, -3, 15, 12, -3],\n [1, 4, 10, -16, 13, -7, 16],\n [-11, 11, 16, -13, -10, 0, -6],\n [15, -16, 2, 9, -5, -17, 7],\n [-1, -10, -2, 6, 9, -6, 5]]\nRound to the nearest integer, then take the res... | 928 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, -15, -1, -10, 15, 18, 8],\n [-4, 4, -16, -1, -17, 9, 2],\n [-5, 17, 5, -4, 14, -3, 4],\n [-4, -17, -9, 3, -12, -17, -18],\n [-7, -5, 4, 0, -13, 17, 6],\n [-6, -8, -11, -6, -2, 8, 9],\n [-14, 15, 14, -6, 14, -6, 13]]? Round to the nearest integer, then ... | 513 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 4, 15, -4, 10, 8, -17],\n [0, 2, -14, -9, 8, 10, 17],\n [0, 0, -9, 0, -8, 10, -15],\n [0, 0, 0, 5, 8, 12, 14],\n [0, 0, 0, 0, 1, -17, -9],\n [0, 0, 0, 0, 0, -13, -11],\n [0, 0, 0, 0, 0, 0, 3]]? Round to the nearest integer, then express your answer mod... | 180 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 3, -17, 6, 16, -7, 11],\n [0, 15, -9, 11, -8, 15, -17],\n [0, 0, 2, -18, -12, -5, -14],\n [0, 0, 0, -6, 5, -16, -16],\n [0, 0, 0, 0, 15, 2, 2],\n [0, 0, 0, 0, 0, -1, 5],\n [0, 0, 0, 0, 0... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, 14, -5, 16, -3, -4, 4],\n [-18, -2, -9, 17, -12, 6, -6],\n [-18, 18, 1, -2, -18, 10, -1],\n [-3, -6, 6, 6, 11, -3, -4],\n [-11, 10, -5, 18, 7, 4, -17],\n [5, -16, 14, -8, 0, 1, -13],\n [-... | 352 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, -16, 18, -4, 14, -1, 12],\n [0, 10, -11, 4, 8, 5, 7],\n [0, 0, -7, 4, 7, -4, 14],\n [0, 0, 0, 7, -11, 16, 18],\n [0, 0, 0, 0, 8, 10, -11],\n [0, 0, 0, 0, 0, 12, -2],\n [0, 0, 0, 0... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -18, -8, 8, -11, -1, -14],\n [0, 4, 11, 6, -2, 5, 10],\n [0, 0, -15, -5, -12, -13, 11],\n [0, 0, 0, -7, -12, 0, -14],\n [0, 0, 0, 0, 5, -3, -17],\n [0, 0, 0, 0, 0, 6, -16],\n [0, 0, 0, 0... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, 4, -1, 4, 8, 4, -6],\n [4, -11, -5, 14, -2, 0, -17],\n [-1, -5, -7, -6, -6, 11, -10],\n [4, 14, -6, -16, -1, -4, -5],\n [8, -2, -6, -1, -4, -4, -4],\n [4, 0, 11, -4, -4, -18, 0],\n [-6, -17, -10, -5, -4, 0, -8]]\nRound to the nearest integer, then giv... | 65 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, -3, -10, -1, -18, 10, 7],\n [0, -9, -10, -15, 6, 2, 6],\n [0, 0, -6, -18, 18, 11, -14],\n [0, 0, 0, -18, -16, -9, -5],\n [0, 0, 0, 0, 9, -5, 11],\n [0, 0, 0, 0, 0, -3, 4],\n [0, 0,... | 488 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 8, -9, 8, 0, 7, -6],\n [8, -4, 9, -11, 0, -6, -1],\n [-9, 9, 0, -4, -8, 11, -2],\n [8, -11, -4, -7, 0, 2, 10],\n [0, 0, -8, 0, 8, 2, 7],\n [7, -6, 11, 2, 2, 11, 7],\n [-6, -1, -2, ... | 402 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 0, -11, 12, -8, -13, 18],\n [8, 13, -12, 11, 10, -7, 0],\n [-1, -18, -10, 15, -17, 4, -3],\n [1, 12, 9, 0, 4, -4, 18],\n [3, -7, -10, -7, 5, 18, -13],\n [13, -13, 6, 6, 8, 5, -13],\n [16, 11, 2, 4, -15, -11, 9]]\nRound to the nearest integer, then take the re... | 593 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 10, -10, -4, -10, 2, -6],\n [10, 9, 9, 6, 2, 4, -4],\n [-10, 9, 0, -5, 0, -4, -13],\n [-4, 6, -5, 16, -2, 6, -10],\n [-10, 2, 0, -2, 7, -1, 1],\n [2, 4, -4, 6, -1, -1, 8],\n [-6, -4, -13... | 257 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -6, -6, 7, 2, 6, -2],\n [-6, -9, 12, -4, -7, -16, -4],\n [-6, 12, -6, 2, -12, -16, -3],\n [7, -4, 2, 11, -4, -4, 0],\n [2, -7, -12, -4, 1, -11, -4],\n [6, -16, -16, -4, -11, -3, 12... | 950 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, -8, -17, 1, -16, -15, -5],\n [0, 13, 3, -2, -3, 13, 18],\n [0, 0, -6, 10, 14, -14, -13],\n [0, 0, 0, 16, -5, 3, -7],\n [0, 0, 0, 0, -1, 3, -10],\n [0, 0, 0, 0, 0, 6, 18],\n [0, 0, 0... | 928 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, 14, 15, 13, -4, 16, 16],\n [0, -8, 6, 0, 3, 0, 12],\n [0, 0, -3, -12, 5, 6, -8],\n [0, 0, 0, -3, -14, -17, 4],\n [0, 0, 0, 0, 16, 7, -4],\n [0, 0, 0, 0, 0, 3, 6],\n [0, 0, 0, 0, 0, 0, -3... | 784 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, -5, 2, -5, 6, -6, 4],\n [-5, 8, -1, 2, 1, -6, 6],\n [2, -1, 4, 1, 0, 7, -8],\n [-5, 2, 1, 3, -2, 5, 2],\n [6, 1, 0, -2, 13, 6, 2],\n [-6, -6, 7, 5, 6, -2, 2],\n [4, 6, -8, 2, 2, 2, -6]]\nRound to the nearest integer, then give your answer as det(A) mod... | 648 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 2, -8, -12, -10, -6, 6],\n [2, 10, 0, 10, -10, -8, -4],\n [-8, 0, -17, 1, -2, 2, 4],\n [-12, 10, 1, 17, 4, 8, -2],\n [-10, -10, -2, 4, -8, 5, 2],\n [-6, -8, 2, 8, 5, 5, 2],\n [6, -4, 4, -2, 2, 2, -6]]\nRound to the nearest integer, then give your ans... | 848 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -4, 2, 12, -2, -1, 9],\n [0, -5, -12, -14, 2, -13, 13],\n [0, 0, 1, -2, -6, 4, 13],\n [0, 0, 0, -12, -18, -3, -15],\n [0, 0, 0, 0, 4, 4, 6],\n [0, 0, 0, 0, 0, 2, 18],\n [0, 0, 0, 0... | 80 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-18, 17, -2, -1, 5, 10, -1],\n [-18, -11, -8, 9, 17, -10, 14],\n [13, 1, -8, -10, 8, -10, 8],\n [-10, 13, -18, 18, -2, -4, 10],\n [0, 11, 8, -8, 10, 18, -8],\n [-4, 2, -12, -3, -17, -1... | 18 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 4, -17, 12, 1, 12, -18],\n [-2, 15, 5, 12, 15, 6, 10],\n [9, 6, 16, 15, -10, -6, -10],\n [17, -6, 11, -2, 8, 4, 11],\n [17, -10, -1, 8, -10, -16, 8],\n [-17, 13, -11, 11, 13, -2, -17],\n [15, -10, -1, -18, -3, 12, 13]]? Round to the nearest integer, t... | 198 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 1, 18, 11, 17, 4, 9],\n [-5, 18, 11, 16, 12, -17, 3],\n [3, -16, 11, -16, -8, -2, 3],\n [4, 3, 7, -14, 8, -7, 17],\n [3, 12, -14, 1, 15, -5, 16],\n [-18, 15, -3, 5, 16, -3, -11],\n... | 349 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 11, -6, -4, 3, -5, -15],\n [0, 6, 5, -7, 9, -11, -3],\n [0, 0, -10, 16, 0, -10, 3],\n [0, 0, 0, 15, 15, -17, 2],\n [0, 0, 0, 0, 2, 3, -16],\n [0, 0, 0, 0, 0, -6, -18],\n [0, 0, 0, 0, 0, 0, 18]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 400 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 12, -2, 14, -6, 0, -9],\n [12, 9, -4, 2, -14, -6, -14],\n [-2, -4, 5, -2, -5, -2, 4],\n [14, 2, -2, -11, 3, 5, -16],\n [-6, -14, -5, 3, 2, -12, -10],\n [0, -6, -2, 5, -12, 11, -4],... | 759 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[17, -11, -6, -6, 2, -2, 0],\n [-11, -18, 15, -8, -8, 8, 3],\n [-6, 15, -12, 6, -5, 8, 5],\n [-6, -8, 6, 1, 5, -2, 3],\n [2, -8, -5, 5, -5, 4, 2],\n [-2, 8, 8, -2, 4, 13, 4],\n [0, 3, 5... | 315 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-14, -1, -18, -14, 0, 2, -14],\n [0, -2, -5, 8, -4, -8, 7],\n [0, 0, 5, -11, 13, -12, -3],\n [0, 0, 0, -15, 3, -4, -14],\n [0, 0, 0, 0, -1, -15, 10],\n [0, 0, 0, 0, 0, 12, -14],\n [0, 0, 0, ... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -9, -2, -6, 10, -14, 0],\n [-9, -6, 12, 2, 11, 8, -6],\n [-2, 12, -6, -8, 14, 3, 13],\n [-6, 2, -8, 5, -8, 0, -4],\n [10, 11, 14, -8, 11, 0, 2],\n [-14, 8, 3, 0, 0, -18, 6],\n [0, -6, 13... | 23 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 0, 3, 2, -18, -2, -16],\n [0, -4, 3, -6, 6, 7, 4],\n [3, 3, 12, -12, -2, -16, -2],\n [2, -6, -12, 13, 4, 0, -11],\n [-18, 6, -2, 4, 0, 7, 2],\n [-2, 7, -16, 0, 7, -9, -2],\n [-16, ... | 171 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -11, 12, 18, -2, 4, -13],\n [-9, 17, 11, 4, 8, -13, -11],\n [-2, 17, 10, 13, 1, 0, 12],\n [6, -5, -13, -11, 1, 0, 8],\n [-12, -14, -9, 6, 17, -8, 0],\n [0, 10, -17, -1, 7, -4, 11],\n [3, 1, 4, 8, 3, 2, 17]]? Round to the nearest integer, then express ... | 710 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, -7, 12, -14, 6, 9, 7],\n [-7, -17, -2, 11, -13, -14, 7],\n [12, -2, 6, -6, 4, 4, 2],\n [-14, 11, -6, 13, -10, -1, -9],\n [6, -13, 4, -10, 3, 0, 14],\n [9, -14, 4, -1, 0, 6, 8],\n [7, 7, 2, -9, 14, 8, -2]]\nRound to the nearest integer, then take the result modu... | 514 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -11, -1, -11, 2, -13, -2],\n [-6, 3, 4, -15, -1, 5, -1],\n [-15, -14, 4, -8, -4, 3, -6],\n [-10, -10, 0, -7, 16, 1, -18],\n [18, -11, 4, 0, 1, -8, -15],\n [11, 3, 17, 5, -7, -5, 5]... | 824 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 16, -1, 13, -12, -10, 0],\n [-16, -18, 9, -15, -7, -14, -1],\n [-8, 10, 8, 3, 12, 12, 6],\n [-18, -3, 2, -7, -12, 3, 4],\n [-18, -15, 12, -8, -17, -8, 0],\n [-6, 10, 11, -16, -4, 9... | 378 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 10, 5, -10, -6, -10, 15],\n [10, 13, -10, 0, -4, 10, -8],\n [5, -10, 16, 0, 0, 4, -12],\n [-10, 0, 0, 6, 0, -6, 3],\n [-6, -4, 0, 0, 9, -16, 3],\n [-10, 10, 4, -6, -16, -13, 2],\n [15, -8, -12, 3, 3, 2, 17]]\nRound to the nearest integer, then take the result... | 595 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -2, 3, 2, 1, 6, 6],\n [-2, -10, 12, -1, 7, -10, -6],\n [3, 12, 2, 2, -6, -15, 4],\n [2, -1, 2, 10, 7, -16, -11],\n [1, 7, -6, 7, -1, -2, -3],\n [6, -10, -15, -16, -2, -17, -4],\n [6, -6,... | 317 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-16, 16, 12, 4, -12, -7, -11],\n [16, 12, -6, 12, -11, 2, 0],\n [12, -6, -2, -6, 4, 0, 6],\n [4, 12, -6, 12, -12, -10, 0],\n [-12, -11, 4, -12, -13, -8, -10],\n [-7, 2, 0, -10, -8, 6, 0],\n [-11, 0, 6, 0, -10, 0, 8]]\nRound to the nearest integer, then take the re... | 792 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, -1, -15, 13, -15, 2, -11],\n [0, -5, 13, 7, -18, -5, 12],\n [0, 0, -11, 5, 4, 3, -10],\n [0, 0, 0, 3, 5, 2, 11],\n [0, 0, 0, 0, -5, 14, -15],\n [0, 0, 0, 0, 0, -5, 2],\n [0, 0, 0, 0, 0, 0, -16]]\nRound to the nearest integer, then give your answer as d... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 6, -2, -6, -3, 9, 12],\n [6, -1, 0, 2, -5, -6, -10],\n [-2, 0, -9, -9, 13, -6, 5],\n [-6, 2, -9, 2, 16, 2, -7],\n [-3, -5, 13, 16, 13, -8, 4],\n [9, -6, -6, 2, -8, 4, 2],\n [12, -10, 5, -7, 4, 2, 3]]\nRound to the nearest integer, then give your answer... | 323 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, -13, 2, 12, 6, 10, -5],\n [-13, -13, -6, -4, -2, 6, 5],\n [2, -6, 6, 10, 2, 0, 2],\n [12, -4, 10, 5, -2, 7, -11],\n [6, -2, 2, -2, -1, 5, -6],\n [10, 6, 0, 7, 5, 16, -6],\n [-5, 5, 2, -1... | 354 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 18, -12, 10, -12, 16, -7],\n [0, 9, -6, -4, -6, 6, -14],\n [6, -9, 6, -7, 14, -18, 16],\n [-2, -1, -10, 0, 8, 5, -12],\n [-8, 16, 14, 11, -3, -4, 14],\n [5, 18, -12, -15, -3, 6, -13],\n [14, -5, -2, 18, 11, -14, 18]]\nRound to the nearest integer, then take t... | 970 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 10, -9, -15, 18, -8, -2],\n [0, -13, 10, -18, 4, 17, -1],\n [9, 3, -9, 4, 6, -11, -10],\n [-1, -7, -13, -13, 2, 4, -10],\n [-8, 13, 6, 12, -15, -14, 1],\n [6, 17, -18, 17, -5, 2, 0],\n [9, -14, 13, -14, -6, 5, 17]]\nRound to the nearest integer, then g... | 943 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-18, -2, 0, 16, -4, -8, 7],\n [-2, 11, 8, 8, -6, 1, -8],\n [0, 8, -10, -1, 16, 13, -8],\n [16, 8, -1, -10, -3, -8, 6],\n [-4, -6, 16, -3, 5, -4, 8],\n [-8, 1, 13, -8, -4, -8, 0],\n [7, -8, -... | 136 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -10, -9, -11, -5, 1, 6],\n [-13, 12, -17, -1, -13, -18, 14],\n [-5, 5, 11, -15, -18, 10, -18],\n [-12, 14, 8, -12, -5, -1, -6],\n [-7, 1, 9, -8, 3, 9, 0],\n [-4, -18, 17, 9, 14, -17, 2],\n [-18, 8, 8, -8, 7, 14, 11]]\nRound to the nearest integer, the... | 521 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, -4, 13, 2, 16, -11, 1],\n [-4, 9, -5, -6, -3, 6, -10],\n [13, -5, 13, 1, 11, 6, 2],\n [2, -6, 1, 15, 12, 0, 9],\n [16, -3, 11, 12, 9, -10, 2],\n [-11, 6, 6, 0, -10, 11, 5],\n [1, -10, 2, 9, 2, 5, 9]]\nRound to the nearest integer, then take the result modulo 1... | 504 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 7, -4, -7, -1, -12, 17],\n [0, -3, -18, 15, 18, 16, -14],\n [0, 0, 6, -15, 6, 13, 17],\n [0, 0, 0, -12, -1, -15, 16],\n [0, 0, 0, 0, 2, 14, 7],\n [0, 0, 0, 0, 0, -5, 7],\n [0, 0, 0, 0, 0, 0, -4]]\nRound to the nearest integer, then take the result modulo 1000.\... | 280 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 2, 8, -8, -6, 2, 6],\n [2, 7, -8, -16, 18, 2, 10],\n [8, -8, -7, 12, 4, 4, -6],\n [-8, -16, 12, 7, -6, -10, 15],\n [-6, 18, 4, -6, -17, -14, -2],\n [2, 2, 4, -10, -14, 3, -4],\n [6, 10, -6, 15, -2, -4, 4]]\nRound to the nearest integer, then give your ... | 148 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 8, -15, 16, 3, 12, 14],\n [0, -2, -10, 16, 0, -13, 13],\n [0, 0, -4, -16, 13, 10, 3],\n [0, 0, 0, 4, -12, -1, 10],\n [0, 0, 0, 0, 8, -4, -17],\n [0, 0, 0, 0, 0, -10, -12],\n [0, 0, 0, 0, ... | 360 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, -6, 0, -2, -5, 4, -4],\n [-6, 6, 9, 1, -2, -5, 13],\n [0, 9, 0, -2, 8, 7, -2],\n [-2, 1, -2, 12, 1, -2, 2],\n [-5, -2, 8, 1, 8, -4, -4],\n [4, -5, 7, -2, -4, -13, 12],\n [-4, 13, -2, 2, -4, 12, 1]]\nRound to the nearest integer, then give your answer a... | 691 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -8, 9, -9, 1, 6, 11],\n [-5, -10, 1, -4, 9, 14, -4],\n [6, -13, 4, 5, 17, 18, -8],\n [10, 1, 16, 10, 9, -4, -9],\n [13, -9, 11, 3, 2, 7, -14],\n [1, 13, -18, 9, -18, 6, 16],\n [14, 3, 16, 12, -2, -15, -14]]\nRound to the nearest integer, then take the result m... | 879 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, -11, 4, 3, 12, 3, 4],\n [-1, 9, -10, 11, -17, 10, -14],\n [3, 11, 10, -5, -9, -7, -15],\n [13, 1, -11, 7, 14, -3, 11],\n [1, 1, 9, -3, -18, 18, -2],\n [10, -16, -14, -17, 15, 13, -3],\n [-18, -13, 1, 15, 4, 2, 18]]? Round to the nearest integer, then ... | 284 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 3, 2, -13, 10, -8, -11],\n [-3, 16, 6, -6, 1, 6, 5],\n [-12, 10, -18, -1, 0, 14, 7],\n [11, -17, 11, -18, -16, -14, 7],\n [4, -18, -2, 11, 11, -2, 11],\n [-3, 5, -18, -11, 9, 7, -5],\n [-10, 16, 0, -3, -9, 17, -8]]\nRound to the nearest integer, then... | 883 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[18, 10, 15, -4, 17, 8, -9],\n [0, -4, 17, 13, 4, -9, -18],\n [0, 0, -17, -13, 12, -4, -1],\n [0, 0, 0, -1, 4, -7, 0],\n [0, 0, 0, 0, 1, 5, 3],\n [0, 0, 0, 0, 0, -2, 4],\n [0, 0, 0, 0, ... | 136 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -6, 4, 8, 4, -11, 14],\n [-6, 9, 6, -4, -14, 4, 4],\n [4, 6, 4, -9, 2, 11, 0],\n [8, -4, -9, 10, 4, -6, 4],\n [4, -14, 2, 4, -17, -1, 2],\n [-11, 4, 11, -6, -1, -10, -16],\n [14, 4, 0, 4, 2, -16, 10]]? Round to the nearest integer, then express your ans... | 734 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-15, 12, -4, -2, 12, 18, 14],\n [4, 17, 10, 2, 5, 13, 8],\n [-4, -14, 1, -12, 15, -14, 10],\n [-15, 16, 12, 1, -3, 8, -12],\n [-11, 17, -13, 7, -15, 1, -12],\n [1, -3, 4, 10, -18, -9, 16],\n [-9, -4, -5, 4, 6, 9, -4]]\nRound to the nearest integer, then take the r... | 162 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, -12, -12, -10, 10, -15, 18],\n [0, -3, 4, -3, -1, -11, 3],\n [0, 0, 3, -11, -13, 0, 11],\n [0, 0, 0, 16, 3, -5, -18],\n [0, 0, 0, 0, 10, -11, -7],\n [0, 0, 0, 0, 0, -12, 18],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then take the result modulo 10... | 560 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, 15, 15, 9, 2, 1, -10],\n [0, 2, -11, -16, -4, -9, -3],\n [0, 0, 3, -5, -11, 1, 8],\n [0, 0, 0, 10, -10, 1, 9],\n [0, 0, 0, 0, 10, 7, -12],\n [0, 0, 0, 0, 0, 6, -15],\n [0, 0, 0, 0, 0, 0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 9, 18, -16, -2, 9, -14],\n [0, 3, 18, -12, 0, 9, 17],\n [0, 0, 18, 11, -18, -10, 6],\n [0, 0, 0, -10, 11, 1, -2],\n [0, 0, 0, 0, 8, -2, -13],\n [0, 0, 0, 0, 0, 3, -14],\n [0, 0, 0, 0, 0, 0, 4]]\nRound to the nearest integer, then take the result modulo 1000.\... | 120 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -17, -5, -17, -2, -3, 6],\n [0, -1, 8, 15, -4, -10, 12],\n [0, 0, -14, 13, -8, -8, 4],\n [0, 0, 0, -15, -8, 6, -8],\n [0, 0, 0, 0, -1, 11, -6],\n [0, 0, 0, 0, 0, -1, -4],\n [0, 0, 0, 0, 0, 0, 13]]\nRound to the nearest integer, then take the result modulo 100... | 30 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -8, 14, 17, -17, -9, -11],\n [0, -2, 8, -17, -4, 18, -1],\n [0, 0, 9, -1, 4, 16, 13],\n [0, 0, 0, 6, -8, 16, 16],\n [0, 0, 0, 0, -1, -4, 3],\n [0, 0, 0, 0, 0, -16, 8],\n [0, 0, 0, 0, 0, 0, 6]]? Round to the nearest integer, then express your answer mod... | 208 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, -2, 5, -4, 0, 14, 4],\n [-2, -12, 13, -14, -10, 6, 4],\n [5, 13, -5, 0, -4, -15, -4],\n [-4, -14, 0, -9, 1, 7, 12],\n [0, -10, -4, 1, 1, -15, 4],\n [14, 6, -15, 7, -15, -6, 3],\n [4, 4, -4, 12, 4, 3, 16]]? Round to the nearest integer, then express you... | 192 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 12, -17, 18, 5, -9, 18],\n [0, -8, 7, -3, 7, 9, 15],\n [0, 0, 10, -1, -9, -13, 10],\n [0, 0, 0, -17, -4, 18, 15],\n [0, 0, 0, 0, 15, -7, 10],\n [0, 0, 0, 0, 0, -15, 12],\n [0, 0, 0, 0, 0, 0, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 1, 7, -5, 6, -6, -3],\n [0, -17, 0, 12, 9, -5, 10],\n [0, 0, 9, 11, -13, 14, -1],\n [0, 0, 0, 1, 18, 6, 11],\n [0, 0, 0, 0, 3, -11, -7],\n [0, 0, 0, 0, 0, -2, -3],\n [0, 0, 0, 0, 0,... | 128 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, -14, 11, 9, -4, -12, -11],\n [15, -2, -9, 7, -18, -15, -17],\n [-7, -3, 4, 8, 16, -10, -17],\n [1, 3, -6, 12, 13, 8, 11],\n [9, 14, 3, 12, -9, -14, -5],\n [8, 18, -10, 5, -16, -11, 2],\n [2, -8, -4, 1, -15, 17, 5]]? Round to the nearest integer, then e... | 362 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, -16, 1, -14, -4, -16, 13],\n [0, -6, -17, -15, -15, 6, -18],\n [0, 0, 3, -12, -11, -12, 16],\n [0, 0, 0, 2, -2, -5, 12],\n [0, 0, 0, 0, -11, 2, 11],\n [0, 0, 0, 0, 0, 2, 8],\n [0, 0, 0, 0, 0, 0, 10]]? Round to the nearest integer, then express your answ... | 760 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-14, -2, 3, 2, -13, 18, -13],\n [0, -17, -2, 5, 1, -14, -16],\n [0, 0, 7, -18, -9, 13, 2],\n [0, 0, 0, -4, -10, 1, -14],\n [0, 0, 0, 0, 3, 10, 3],\n [0, 0, 0, 0, 0, -1, 17],\n [0, 0, 0... | 944 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[18, -12, 18, -6, -16, -5, -11],\n [0, 1, 12, 15, 3, 11, 17],\n [0, 0, -2, 18, -2, -7, -11],\n [0, 0, 0, -10, -17, -16, 14],\n [0, 0, 0, 0, -1, -5, -13],\n [0, 0, 0, 0, 0, 8, 9],\n [0, 0, 0, 0, 0, 0, 5]]\nRound to the nearest integer, then give your answer... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, -8, 0, -6, -2, -4, 0],\n [-8, -9, -10, -3, -6, -3, -9],\n [0, -10, 5, 0, -2, -17, 6],\n [-6, -3, 0, -9, 12, 14, -6],\n [-2, -6, -2, 12, -4, -13, -4],\n [-4, -3, -17, 14, -13, 18, 0],\n [0, -9, 6, -6, -4, 0, 2]]? Round to the nearest integer, then expres... | 432 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, -10, -13, -13, 2, 12, -17],\n [0, 15, 18, -10, -12, 12, 4],\n [0, 0, -1, 9, 5, -16, 2],\n [0, 0, 0, 17, -11, -12, -5],\n [0, 0, 0, 0, -1, -14, 4],\n [0, 0, 0, 0, 0, 9, -13],\n [0, 0, 0, ... | 390 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, 1, 0, 6, 16, -4, -4],\n [1, 9, 4, -2, -14, -6, 18],\n [0, 4, 8, -16, -3, -6, 2],\n [6, -2, -16, -1, -4, 10, 0],\n [16, -14, -3, -4, 17, 0, 8],\n [-4, -6, -6, 10, 0, -13, -12],\n [-4, 18, 2, 0, 8, -12, -15]]\nRound to the nearest integer, then take the result mo... | 793 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, 16, -4, 16, 13, -18, -1],\n [8, 11, -2, 1, -8, 9, 14],\n [-17, -4, -4, 5, -5, -6, -9],\n [-13, -16, -13, -14, -15, -6, -13],\n [16, -5, -14, -4, 14, 11, 2],\n [-9, 18, -6, 16, 4, -14, 6],\n [-1, 7, -14, 18, -16, 10, -11]]? Round to the nearest integer, ... | 842 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 17, 5, 1, -10, 13, -18],\n [0, 12, 9, 2, 18, -12, -5],\n [0, 0, -18, -2, 3, 0, -4],\n [0, 0, 0, 15, 12, -9, 3],\n [0, 0, 0, 0, -9, 9, 17],\n [0, 0, 0, 0, 0, -1, -9],\n [0, 0, 0, 0, 0, 0, 4]]\nRound to the nearest integer, then give your answer as det(A... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 5, -4, -10, -3, -9, 3],\n [0, 18, -17, 10, -12, 10, -18],\n [0, 0, 11, -5, -18, -5, 12],\n [0, 0, 0, 15, 13, -18, -2],\n [0, 0, 0, 0, -4, -11, 9],\n [0, 0, 0, 0, 0, 13, -9],\n [0, 0, 0, 0, 0, 0, 4]]\nRound to the nearest integer, then take the result modulo 100... | 160 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, 0, 14, 0, 4, -10, -4],\n [0, -6, 2, -2, 8, -6, -8],\n [14, 2, -1, 2, -7, 10, -14],\n [0, -2, 2, -12, 12, -14, -6],\n [4, 8, -7, 12, -18, 12, -2],\n [-10, -6, 10, -14, 12, -1, 4],\n [-4, -8, -14, -6, -2, 4, 5]]? Round to the nearest integer, then expres... | 228 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 1, -2, -14, -4, 8, -4],\n [1, -7, 2, -11, -6, -8, 6],\n [-2, 2, -9, 12, -2, -6, -1],\n [-14, -11, 12, -10, 2, 0, 12],\n [-4, -6, -2, 2, -16, -5, -14],\n [8, -8, -6, 0, -5, -14, 10]... | 740 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[5, 18, -12, 10, 17, -18, -16],\n [0, -17, -9, -15, -7, 10, -15],\n [0, 0, -6, 13, 6, -2, 14],\n [0, 0, 0, -5, 4, 10, -10],\n [0, 0, 0, 0, 9, -1, -6],\n [0, 0, 0, 0, 0, -16, -3],\n [0, 0, 0, 0, 0, 0, 1]]? Round to the nearest integer, then express your answ... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 12, 3, -16, 10, -8, 2],\n [0, -1, -11, 18, 5, 4, 1],\n [0, 0, 11, 17, 13, 8, 15],\n [0, 0, 0, -1, -15, -12, 11],\n [0, 0, 0, 0, 16, 13, -18],\n [0, 0, 0, 0, 0, -10, -18],\n [0, 0, 0... | 40 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-17, 17, -17, -14, -6, 7, -4],\n [0, 10, -2, 3, -6, 18, -4],\n [0, 0, 3, 5, 5, -4, -3],\n [0, 0, 0, -7, -7, 13, -1],\n [0, 0, 0, 0, -7, -5, 6],\n [0, 0, 0, 0, 0, 3, 0],\n [0, 0, 0, 0, 0, 0, ... | 730 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, -2, -14, 13, 13, -4, 0],\n [-2, 13, -4, 2, -2, 4, -4],\n [-14, -4, 6, -2, 0, -14, 12],\n [13, 2, -2, 10, 15, 6, -4],\n [13, -2, 0, 15, -17, -16, 2],\n [-4, 4, -14, 6, -16, -10, 1],\n [0, -4, 12, -4, 2, 1, 6]]\nRound to the nearest integer, then give y... | 30 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 2, -17, 15, -3, 11, -5],\n [0, 14, 8, -13, 3, -12, -10],\n [0, 0, -1, -1, -8, -17, -17],\n [0, 0, 0, 16, 13, -8, 1],\n [0, 0, 0, 0, 15, -16, 14],\n [0, 0, 0, 0, 0, -7, 8],\n [0, 0, 0, 0, 0, 0, 9]]\nRound to the nearest integer, then give your answer a... | 320 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 0, 15, 13, 10, 12, -2],\n [0, -5, -11, 2, -7, 4, 5],\n [15, -11, -11, -3, -6, 6, 0],\n [13, 2, -3, 13, 14, -8, 7],\n [10, -7, -6, 14, 17, -12, -3],\n [12, 4, 6, -8, -12, 18, 1],\n [-2, 5... | 103 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 15, -4, -14, -3, 6, -7],\n [0, -10, -5, 16, 9, -5, 17],\n [-8, 12, 6, -6, -1, 3, -13],\n [4, 17, -13, -12, 3, -3, 13],\n [-12, 7, 15, 9, 16, 10, -6],\n [-1, 7, 4, 17, -4, 9, 11],\n [-8, -3, -5, -4, -18, 7, 16]]\nRound to the nearest integer, then take the res... | 552 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 14, -18, -15, -17, -5, 12],\n [8, -15, 15, 4, -17, 9, 11],\n [6, -7, -10, 16, 18, 1, 17],\n [8, 12, 6, -12, -11, -15, -13],\n [-11, 8, -18, 11, 9, 15, -6],\n [-17, 7, -13, -16, -4... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 7, 18, -2, -6, -11, 5],\n [17, 17, 18, -3, 9, -3, -13],\n [2, -15, 10, -1, 17, -17, 3],\n [11, 11, 0, 2, 9, -4, 0],\n [-4, -14, 6, -18, 15, -2, -11],\n [11, -13, -7, 13, 0, 17, -3],\n [13... | 286 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 5, -2, -16, -11, 6, 0],\n [-16, 1, -12, 14, 0, 16, 16],\n [17, 1, -14, 11, -2, -18, -16],\n [-2, -7, 0, 4, -8, 17, -15],\n [9, 9, -10, -17, 12, 17, 9],\n [-9, -10, -12, 7, 1, -14, ... | 952 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 3, 3, 8, -2, 2, -12],\n [3, 1, 4, -2, 2, 8, 4],\n [3, 4, -16, 7, -4, -2, 0],\n [8, -2, 7, 17, -5, 7, 2],\n [-2, 2, -4, -5, -7, -15, 2],\n [2, 8, -2, 7, -15, 4, 3],\n [-12, 4, 0, 2, 2, 3, 15]]\nRound to the nearest integer, then give your answer as det(... | 276 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, 7, -7, 7, 9, -12, 4],\n [9, 12, 7, 6, -17, 7, -7],\n [-6, -1, -10, -8, -12, -13, -4],\n [-12, 0, 8, 10, 12, 18, -4],\n [-2, -17, -14, -7, -17, -5, 5],\n [16, 6, 13, -6, 4, -4, -13],\n [8, -6, -10, 14, 6, -4, -3]]? Round to the nearest integer, then ex... | 954 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, 0, 14, -12, -2, 2, -5],\n [0, -12, 4, 11, 2, 0, -15],\n [14, 4, 18, 5, -4, 13, 8],\n [-12, 11, 5, -12, -10, 4, -2],\n [-2, 2, -4, -10, 8, -16, -2],\n [2, 0, 13, 4, -16, 9, 0],\n [-5, -15, 8, -2, -2, 0, -15]]\nRound to the nearest integer, then give yo... | 212 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, -11, 7, 5, -6, 7, 15],\n [-8, 2, -7, 0, 12, 18, 15],\n [6, -2, 9, -13, 15, -14, 4],\n [-7, -1, 14, 13, 1, -4, -5],\n [-17, 4, -13, -3, -12, -8, -7],\n [-11, 9, 7, 11, 7, -2, -13],\n [-14, -7, -18, 6, 2, -9, 2]]? Round to the nearest integer, then expr... | 39 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[6, 7, 6, 5, -16, -16, -5],\n [7, 12, 3, -10, -8, -2, 8],\n [6, 3, 16, -10, -6, 12, 2],\n [5, -10, -10, -7, 12, -2, 6],\n [-16, -8, -6, 12, 8, 13, -14],\n [-16, -2, 12, -2, 13, 12, -5],\n [-5, 8, 2, 6, -14, -5, 8]]? Round to the nearest integer, then expres... | 119 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -10, -9, 15, 10, 4, 12],\n [11, 12, 10, -3, -13, -3, 6],\n [14, -18, -15, -3, 7, 12, 1],\n [16, 16, 9, -1, -9, -18, -7],\n [4, 15, -17, 7, -9, 16, -7],\n [1, 12, -4, 9, 5, -14, -12]... | 762 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 11, 1, 5, 1, 2, 5],\n [0, -14, 13, -10, 2, 17, -17],\n [0, 0, 16, -17, -8, 3, 4],\n [0, 0, 0, 1, -16, 2, -13],\n [0, 0, 0, 0, 9, -2, 2],\n [0, 0, 0, 0, 0, -3, -16],\n [0, 0, 0, 0, 0, 0, ... | 16 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 0, 18, -12, 6, -15, -17],\n [-6, 15, -7, 9, 0, -17, 11],\n [0, 14, -18, -18, 12, -17, -11],\n [-14, -12, 18, -14, -3, -1, -9],\n [0, -9, 16, 13, 15, 17, 2],\n [2, 1, -8, -7, -11, 0, 15],\n [-14, -17, -18, -4, 15, -6, 8]]? Round to the nearest integer, ... | 324 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 11, -5, 16, -11, -1, 18],\n [-13, -10, -14, -13, 12, 10, 9],\n [-12, -14, 1, -7, 3, 8, -3],\n [15, -2, 3, -16, -8, 15, -3],\n [-7, 0, -7, 17, -6, 18, 9],\n [12, -15, 1, -16, 13, 11... | 640 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 4, -13, 16, 2, 9, -13],\n [0, -1, 9, 16, 3, 16, 1],\n [0, 0, -12, -16, 17, -9, -6],\n [0, 0, 0, -2, -8, 2, -9],\n [0, 0, 0, 0, 14, -11, 10],\n [0, 0, 0, 0, 0, 4, -1],\n [0, 0, 0, 0, 0, 0, -7]]\nRound to the nearest integer, then give your answer as de... | 328 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -4, 4, 2, -5, -5, -1],\n [-4, -12, 12, -3, -2, 1, 4],\n [4, 12, -13, -14, -7, -4, -4],\n [2, -3, -14, 12, -6, -1, -2],\n [-5, -2, -7, -6, 3, -6, -5],\n [-5, 1, -4, -1, -6, 10, -2],\n [-1... | 525 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 9, 10, 5, 6, 13, 18],\n [0, -6, 6, 6, 6, 16, -15],\n [0, 0, 4, -9, -17, 2, 11],\n [0, 0, 0, 13, 2, -15, 16],\n [0, 0, 0, 0, -10, -8, -6],\n [0, 0, 0, 0, 0, 5, 9],\n [0, 0, 0, 0, 0, ... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 12, 6, 5, 3, 11, -3],\n [11, 12, -2, -18, 14, -8, 12],\n [-17, -17, -1, 5, -8, -1, -15],\n [10, 11, -14, -16, -15, 0, -16],\n [4, 13, 0, 1, -11, 11, -1],\n [-7, -5, 6, 7, -12, -5, -2],\n [-3, -8, -15, -12, 3, 7, 1]]? Round to the nearest integer, then ... | 323 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, -9, 5, -10, -9, 15, -8],\n [-9, 15, -1, 11, 7, -15, -18],\n [16, -16, 4, -14, -2, 9, 2],\n [-5, -5, 4, -4, -5, -8, -4],\n [9, -13, -11, 12, 15, -16, -11],\n [-18, -2, 10, -10, 4, -13, -4],\n [1, 9, 8, 11, 13, 11, -13]]? Round to the nearest integer, th... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -13, 7, -3, -18, 4, 6],\n [0, 2, 12, -13, -10, -13, -5],\n [0, 0, -2, 9, 9, 14, 0],\n [0, 0, 0, 16, -17, 0, 14],\n [0, 0, 0, 0, -18, -14, 8],\n [0, 0, 0, 0, 0, -5, 4],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as d... | 240 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, 6, -11, -16, 10, -1, 14],\n [0, -7, 3, -14, 0, 8, -3],\n [0, 0, 2, -17, -15, 7, 10],\n [0, 0, 0, 6, -18, -2, 18],\n [0, 0, 0, 0, 8, 18, -4],\n [0, 0, 0, 0, 0, -1, 14],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then give your answer as de... | 408 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, -16, -1, -8, -4, 4, 4],\n [-16, 11, -15, 14, -9, -8, 8],\n [-1, -15, -12, -7, -8, -4, 6],\n [-8, 14, -7, -4, -6, -8, 6],\n [-4, -9, -8, -6, -7, 1, 12],\n [4, -8, -4, -8, 1, 10, 2],\n [4, 8, 6, 6, 12, 2, -13]]? Round to the nearest integer, then expres... | 124 | MATH |
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