messages
listlengths 1
1
| ground_truth
stringclasses 992
values | dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 6, 6, -8],\n [0, 10, -7, 6],\n [0, 0, 3, 8],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, -11, 1, -5],\n [0, -3, -8, 7],\n [0, 0, 7, -9],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
772
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 9, 8, -7],\n [3, -6, 5, 1],\n [11, 10, -2, 2],\n [9, 12, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
337
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -11, -8, -6],\n [0, -7, -6, 6],\n [0, 0, -10, -5],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
960
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 1, 0, -2],\n [1, -11, 6, 2],\n [0, 6, 11, 8],\n [-2, 2, 8, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 6, -10, -12],\n [10, 10, 2, -12],\n [3, 2, 4, 10],\n [-6, 5, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
368
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 11, 2, -8],\n [5, 11, -6, -2],\n [12, 9, -1, -8],\n [-1, -11, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -6, 9, 2],\n [0, 4, 2, -6],\n [0, 0, 8, -1],\n [0, 0, 0, 10]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[5, -2, 7, -2],\n [-2, 1, 9, 0],\n [7, 9, 4, 0],\n [-2, 0, 0, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
30
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 11, -4, 12],\n [3, 9, 9, -1],\n [9, 6, -1, 11],\n [5, -10, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 10, -11, -4],\n [10, -1, 2, -8],\n [-11, 2, -7, -2],\n [-4, -8, -2, 10]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
118
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 9, 7, -11],\n [2, -8, -1, -4],\n [6, 2, 10, -5],\n [4, 11, -5, 10]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, -9, -9, -11],\n [0, -7, -4, -2],\n [0, 0, 6, -10],\n [0, 0, 0, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, 4, -4, 11],\n [7, -12, 8, -8],\n [-10, -8, 11, 2],\n [-1, 9, 4, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
267
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 11, 4, 9],\n [4, 6, -3, 4],\n [6, 12, 12, 2],\n [8, 5, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
322
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -2, -2, 2],\n [-2, -5, 0, -10],\n [-2, 0, -8, -2],\n [2, -10, -2, 6]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 1, -6, 5],\n [0, -5, -3, 6],\n [0, 0, 5, -7],\n [0, 0, 0, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
175
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -11, -6, 11],\n [2, 0, -3, 11],\n [-2, -10, 0, -1],\n [-10, -11, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
195
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -8, 10, -11],\n [0, -3, -2, 6],\n [0, 0, -10, -10],\n [0, 0, 0, 10]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, 4, -7, 4],\n [4, 10, -10, 1],\n [-7, -10, 2, -4],\n [4, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
55
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[4, -12, 1, 11],\n [0, -6, -7, 9],\n [0, 0, -8, -11],\n [0, 0, 0, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
616
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[0, 8, -12, 4],\n [-3, 12, 0, 4],\n [-2, -1, 12, -11],\n [8, 1, -3, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
260
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-9, -5, -12, -3],\n [0, -1, 8, 12],\n [0, 0, 3, -5],\n [0, 0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
270
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 8, 8, 2],\n [8, 2, -2, -2],\n [8, -2, -11, -4],\n [2, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
122
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-7, -2, 9, 4],\n [3, -5, -1, -5],\n [8, -3, 7, 10],\n [-2, 12, 11, 10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
619
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 11, 6, 7],\n [0, 7, 1, 10],\n [0, 0, -3, 0],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, 7, 7, -4],\n [-12, -6, 12, -9],\n [8, -9, 5, -11],\n [-4, -6, -2, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
844
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, -2, 3, -3],\n [-2, -8, 0, 4],\n [3, 0, -8, 4],\n [-3, 4, 4, 11]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, 2, 2, -8],\n [2, -2, 2, -10],\n [2, 2, -9, -4],\n [-8, -10, -4, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
936
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-5, -11, -6, 6],\n [-9, 5, -10, -2],\n [11, 4, -2, 8],\n [-5, 3, -7, 3]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
684
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 0, -2, -10],\n [-5, 8, 11, -11],\n [6, 1, 6, 6],\n [-9, -12, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
912
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, -11, 5, 12],\n [-10, -2, 0, -7],\n [6, -9, 3, 5],\n [-2, -4, -7, -11]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
21
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -2, -1, -6],\n [-2, -9, -4, 1],\n [-1, -4, -5, -2],\n [-6, 1, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
940
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -5, -2, -2],\n [0, -9, -9, -11],\n [0, 0, -2, 12],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, -8, -6, -12],\n [0, -3, 1, 8],\n [-11, 10, -5, 0],\n [3, 0, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
472
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, 0, 5, -1],\n [0, -9, -2, 10],\n [5, -2, 9, -2],\n [-1, 10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[9, 5, -1, 7],\n [0, 1, 12, 5],\n [0, 0, -4, -7],\n [0, 0, 0, 8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 4, -10, -11],\n [0, -6, -6, -2],\n [0, 0, -10, -12],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 2, 3, -2],\n [2, 6, 5, -1],\n [3, 5, 12, -2],\n [-2, -1, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
675
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[10, 12, -6, -4],\n [2, -6, -4, -11],\n [2, -4, 2, 3],\n [-10, 2, -4, 0]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
152
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[8, 10, 3, 2],\n [0, -7, 3, -5],\n [0, 0, 6, 0],\n [0, 0, 0, 11]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
304
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -5, 7, -1],\n [-2, -1, -11, -11],\n [-7, 4, 11, -12],\n [-5, 0, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
610
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[3, -9, -12, -1],\n [0, 1, 5, -10],\n [0, 0, 6, 4],\n [0, 0, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[5, 7, -8, -12],\n [0, 12, 3, 7],\n [0, 0, -8, -3],\n [0, 0, 0, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -7, 6, 4],\n [0, 11, -12, -12],\n [0, 0, -9, 1],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
604
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -2, 1, 3],\n [0, 11, -3, -7],\n [0, 0, -10, -2],\n [0, 0, 0, -12]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -4, 6, 10],\n [-4, -7, -5, -6],\n [6, -5, -12, 4],\n [10, -6, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, 4, 6, 0],\n [4, -7, 4, 0],\n [6, 4, -3, 0],\n [0, 0, 0, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
923
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 10, -9, 4],\n [0, -11, 1, 3],\n [0, 0, -2, 1],\n [0, 0, 0, -7]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
694
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -9, -6, 10],\n [-8, -5, 4, -2],\n [7, -7, 7, -10],\n [10, 10, 11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
156
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, 0, 4, -2],\n [0, -8, -10, 1],\n [4, -10, -3, 4],\n [-2, 1, 4, -9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
605
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, -2, -4, -2],\n [-2, 5, -6, 6],\n [-4, -6, 6, 4],\n [-2, 6, 4, 2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
84
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, 6, 8, -3],\n [0, -7, 1, -1],\n [0, 0, -3, -4],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
895
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, 2, -6, 0],\n [2, 3, 4, 0],\n [-6, 4, 4, -5],\n [0, 0, -5, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
918
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[7, 4, 7, 8],\n [4, 9, -2, -6],\n [7, -2, -6, -11],\n [8, -6, -11, 0]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
221
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 3, -2, 11],\n [0, -2, -2, 2],\n [0, 0, 1, 3],\n [0, 0, 0, -11]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
802
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 4, 5, 5],\n [4, 4, -4, 0],\n [5, -4, -7, -2],\n [5, 0, -2, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[1, -4, 8, -4],\n [-4, 5, -6, 5],\n [8, -6, 7, 6],\n [-4, 5, 6, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
388
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, -11, 8, -9],\n [-9, -12, -1, -1],\n [1, -5, -8, -4],\n [4, -5, 6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
985
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -10, -1, -2],\n [-8, -5, -11, -7],\n [-4, 11, 5, -10],\n [11, -9, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
721
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[4, 1, 0, 12],\n [1, 11, -6, -6],\n [0, -6, 1, 0],\n [12, -6, 0, -12]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
524
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 8, -4, 3],\n [3, 5, 9, 2],\n [-7, 11, -1, -10],\n [9, -1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-1, 2, 6, 0],\n [2, -1, 2, -1],\n [6, 2, 2, 4],\n [0, -1, 4, -3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[5, 6, -1, -6],\n [6, -7, 4, 0],\n [-1, 4, -3, 2],\n [-6, 0, 2, 3]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[3, -1, -6, 3],\n [-9, -7, 5, 3],\n [11, -2, 11, 3],\n [5, 8, -8, 11]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -10, -2, -7],\n [-3, -6, -7, 11],\n [-3, 0, 7, -4],\n [3, 0, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
684
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -2, 10, -10],\n [-2, 2, 4, -2],\n [10, 4, 3, -6],\n [-10, -2, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 2, 0, 7],\n [0, -6, 6, 12],\n [0, 0, 7, 3],\n [0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
168
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -3, -7, -8],\n [0, 6, 11, 8],\n [0, 0, 8, -4],\n [0, 0, 0, 3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 8, -1, 2],\n [0, -7, -1, -6],\n [0, 0, -7, -10],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
383
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 1, -10, 0],\n [1, 10, 3, 2],\n [-10, 3, 0, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
944
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, -10, -10, 2],\n [0, -11, 7, 5],\n [0, 0, -3, -7],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
208
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 2, 2, -1],\n [2, -4, -2, -3],\n [2, -2, -5, -2],\n [-1, -3, -2, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
493
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 2, -4, 3],\n [-1, -6, -8, 11],\n [4, 7, -8, -10],\n [7, -10, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
38
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -7, 2, -11],\n [-2, -11, -7, -5],\n [-2, 7, -1, 2],\n [9, 9, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
711
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -4, -6, -3],\n [-4, -9, 0, -6],\n [-6, 0, 12, 0],\n [-3, -6, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 4, -3, 8],\n [4, -10, 10, -4],\n [-3, 10, -1, 11],\n [8, -4, 11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
446
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[7, 0, 8, 10],\n [0, -6, 3, 10],\n [0, 0, 4, -10],\n [0, 0, 0, 4]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
328
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 4, 9, 3],\n [0, 6, -9, -5],\n [0, 0, 9, 6],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
320
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 12, -1, -9],\n [0, 10, 6, 12],\n [-7, -6, 3, -10],\n [-5, 0, -6, -12]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 11, -8, 2],\n [0, 12, 8, -12],\n [0, 0, -9, 10],\n [0, 0, 0, -4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
704
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 7, -1, -1],\n [7, -10, -8, -2],\n [-1, -8, -4, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
204
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -5, 5, -5],\n [0, 3, -6, -3],\n [0, 0, 10, -11],\n [0, 0, 0, 11]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, -4, 8, 6],\n [-4, -12, -1, -6],\n [8, -1, 7, 0],\n [6, -6, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
182
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 2, -5, -6],\n [0, 10, 3, 11],\n [0, 0, 2, 9],\n [0, 0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 3, -1, 5],\n [11, -9, -9, 7],\n [-6, -7, -3, -4],\n [-4, -9, -12, 2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
58
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[2, -1, -2, 2],\n [-1, -10, -2, -6],\n [-2, -2, 5, -2],\n [2, -6, -2, 2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
850
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -10, -5, 12],\n [-10, 1, 9, 12],\n [12, 3, -2, -5],\n [9, 0, 11, 6]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[12, -4, -4, -8],\n [-4, -4, -2, 1],\n [-4, -2, -5, 8],\n [-8, 1, 8, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
468
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -10, -6, 3],\n [7, -1, -2, -4],\n [-1, -2, -10, 11],\n [4, 3, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, -7, -8, 6],\n [0, -12, 2, 0],\n [0, 0, -11, -1],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
640
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-6, 5, -10, -8],\n [0, -11, -5, -1],\n [0, 0, 6, 7],\n [0, 0, 0, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
772
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 6, 6, 5],\n [-8, -4, -3, 9],\n [-9, -5, 7, -10],\n [4, 8, -10, 9]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
494
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[10, 0, 10, -6],\n [0, -5, 6, 6],\n [10, 6, -12, 4],\n [-6, 6, 4, 9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
116
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 10, -6, 5],\n [10, 0, -4, 12],\n [-6, -4, 12, 0],\n [5, 12, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
624
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, 6, 1, 1],\n [0, 7, 6, -11],\n [0, 0, 3, -3],\n [0, 0, 0, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
530
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -6, 2, 11],\n [8, -9, 2, 6],\n [8, 10, -4, -2],\n [-11, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
412
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -6, -4, 4],\n [-6, 0, 8, -11],\n [-4, 8, -9, 2],\n [4, -11, 2, 1]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
395
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 2, -2, 0],\n [2, -5, 0, 10],\n [-2, 0, 1, 5],\n [0, 10, 5, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
144
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 0, -2, -6],\n [0, -10, -1, -12],\n [-2, -1, 8, 0],\n [-6, -12, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
727
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.