messages
listlengths 1
1
| ground_truth
stringclasses 992
values | dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the determinant of the matrix:\n[[3, 5, -2, -3],\n [5, -7, 2, 1],\n [-2, 2, 7, 0],\n [-3, 1, 0, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
610
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, 6, -8, -8],\n [3, -3, 9, -11],\n [10, 8, -11, 3],\n [5, -5, 4, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -3, -4, -2],\n [-3, 3, -4, -1],\n [-4, -4, 11, 0],\n [-2, -1, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
643
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, -6, -4, -12],\n [-6, -1, -4, -4],\n [-4, -4, -9, 6],\n [-12, -4, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
772
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[9, 6, 4, 0],\n [6, -12, 2, 8],\n [4, 2, 1, 6],\n [0, 8, 6, 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"
}
] |
488
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-3, 8, -8, -7],\n [4, 7, 7, 9],\n [-3, 7, -6, 0],\n [-3, -12, -1, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
950
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 1, 1, -6],\n [5, -2, 9, 11],\n [-6, 11, 1, -6],\n [-8, -3, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
320
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 2, -11, 0],\n [0, -4, -1, -11],\n [0, 0, 3, 4],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
264
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 5, -1, 1],\n [5, -2, 8, 9],\n [-1, 8, 0, 1],\n [1, 9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[0, 9, 0, 1],\n [9, 7, -2, 1],\n [0, -2, -8, 2],\n [1, 1, 2, -11]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
184
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[4, 7, 7, -10],\n [0, -4, 9, -6],\n [0, 0, -5, -7],\n [0, 0, 0, -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"
}
] |
520
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[9, -10, 6, -1],\n [-10, 6, 12, -12],\n [11, 9, -5, -6],\n [3, 2, 7, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
334
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, -4, 0, -8],\n [-4, -6, -4, 7],\n [0, -4, 12, -1],\n [-8, 7, -1, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
372
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, -7, -1, 2],\n [-11, -9, 6, 6],\n [7, -12, 6, 12],\n [2, 1, 1, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
696
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, -6, -2, -12],\n [-10, 11, -11, -7],\n [3, 5, -5, 12],\n [-9, -7, -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"
}
] |
556
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, -10, -7, 8],\n [0, 8, 8, -11],\n [0, 0, 10, 8],\n [0, 0, 0, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, -6, 9, -6],\n [3, -6, 4, 6],\n [12, 5, -6, -1],\n [-1, 6, -7, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
306
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-4, 7, -1, 4],\n [11, -2, 12, 3],\n [10, 11, 11, -8],\n [-1, -12, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
980
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 6, 6, -5],\n [0, 5, -7, -1],\n [0, 0, 8, 9],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
600
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -4, -4, -2],\n [-4, 0, -6, 9],\n [-4, -6, 9, 0],\n [-2, 9, 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"
}
] |
329
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[2, -1, 12, 4],\n [-6, 12, -4, 7],\n [5, 7, 9, 4],\n [5, 7, 5, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
970
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[9, -4, -5, -1],\n [-4, 8, 5, 2],\n [-5, 5, 11, -4],\n [-1, 2, -4, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
43
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, -3, -6, 0],\n [5, 5, -8, 0],\n [-5, 2, 2, -3],\n [-4, -3, 5, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
558
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, 0, 6, -3],\n [0, -12, 10, -2],\n [6, 10, 5, -8],\n [-3, -2, -8, 1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
576
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 7, -11, -12],\n [4, 3, -2, 5],\n [-6, 3, 1, -9],\n [-8, -8, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
179
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 4, -1, 9],\n [-1, 11, -3, 2],\n [5, 8, 9, -7],\n [-9, 1, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
228
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[4, 7, -7, 5],\n [-8, 5, -6, 12],\n [-9, -4, -9, -4],\n [-5, -1, 11, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
826
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -4, 5, -5],\n [0, -2, -1, -10],\n [0, 0, -6, 11],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 4, -5, -2],\n [4, -7, -4, 2],\n [-5, -4, 5, -2],\n [-2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
496
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[5, -2, 8, -4],\n [-2, 7, 7, -2],\n [8, 7, -12, 10],\n [-4, -2, 10, -3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
239
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[5, 2, 4, -4],\n [-1, 2, 11, 8],\n [4, 6, -9, -8],\n [9, -4, 10, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
842
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -5, 6, 6],\n [-5, -2, 11, 2],\n [6, 11, -4, -7],\n [6, 2, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
837
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[12, 2, 4, 1],\n [-9, -2, -4, -7],\n [-10, 4, -3, 5],\n [-7, 9, 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"
}
] |
385
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, -4, -3, 3],\n [-12, -11, -12, 8],\n [-1, -6, -1, -2],\n [9, 6, -7, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
511
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -10, 5, 2],\n [5, 1, -4, -3],\n [-4, -12, -3, 12],\n [-7, -3, 4, -5]]\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"
}
] |
412
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[2, -1, -1, 11],\n [0, 12, -4, 6],\n [0, 0, 8, 8],\n [0, 0, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
960
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 7, -11, 3],\n [0, -11, -4, 11],\n [-12, -1, 2, 1],\n [-10, 5, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -1, 5, -3],\n [-1, 5, 10, 0],\n [5, 10, -7, 4],\n [-3, 0, 4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
208
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[12, -5, -6, 1],\n [0, -4, 5, 6],\n [0, 0, 7, -5],\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"
}
] |
696
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -7, 11, 0],\n [0, -8, 10, 10],\n [0, 0, 5, -9],\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"
}
] |
680
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 12, -12, -10],\n [3, 10, -2, 11],\n [9, -7, 3, -4],\n [-11, -11, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
996
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, -9, -12, -7],\n [7, -2, 11, -11],\n [2, 7, 5, 11],\n [-7, 7, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
165
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -11, -1, 4],\n [9, 2, 9, -4],\n [7, -9, -8, 3],\n [6, 4, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
310
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 12, -1, 2],\n [0, 9, 9, 6],\n [0, 0, -11, -2],\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"
}
] |
801
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, -1, -7, 4],\n [0, -1, 10, -6],\n [0, 0, 10, 12],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
360
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[1, 8, 6, -3],\n [3, 8, -2, 5],\n [7, -11, -12, -3],\n [4, 3, 6, 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"
}
] |
792
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -4, 7, -5],\n [-1, -11, -9, 2],\n [9, -9, 0, 9],\n [2, 1, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[7, 5, -1, -9],\n [0, 7, -5, -8],\n [0, 0, -7, -12],\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"
}
] |
372
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, 2, -6, 7],\n [2, -11, -3, -3],\n [-6, -3, 8, -4],\n [7, -3, -4, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
523
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -1, 12, 10],\n [0, -11, 10, 4],\n [0, 0, -6, 5],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 0, 9, 0],\n [8, 12, 8, 2],\n [4, -3, -11, 7],\n [-1, -4, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
474
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -12, 8, -2],\n [0, -3, 2, 1],\n [0, 0, -9, -8],\n [0, 0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
677
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, -7, 6, -3],\n [2, 2, 11, -2],\n [-5, -10, 12, -1],\n [-7, -3, 3, -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"
}
] |
757
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -8, 8, 2],\n [-8, -5, -10, -4],\n [8, -10, -1, 3],\n [2, -4, 3, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
121
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, -6, -7, 7],\n [0, -9, 2, 0],\n [0, 0, -7, -5],\n [0, 0, 0, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 8, 12, -8],\n [5, 5, 10, 10],\n [9, 0, 0, 3],\n [-12, -1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -9, 9, -2],\n [8, 11, 0, -10],\n [9, 12, -5, 2],\n [1, 12, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
120
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-1, 1, -3, -4],\n [1, -7, 4, -2],\n [-3, 4, 2, -1],\n [-4, -2, -1, 8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-9, -5, 3, -4],\n [9, -3, -4, 6],\n [-1, 6, -6, 1],\n [10, 4, -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"
}
] |
594
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 5, 4, -4],\n [0, -11, -1, 2],\n [0, 0, -2, -9],\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"
}
] |
460
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -4, 12, 10],\n [3, -7, 3, 7],\n [-10, 7, 4, -5],\n [4, 11, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
62
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[12, 12, -8, 3],\n [0, 3, 11, -4],\n [0, 0, 3, 5],\n [0, 0, 0, -6]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
352
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-3, 11, 5, -12],\n [-5, -8, 10, -9],\n [7, 5, 4, -3],\n [12, 11, 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"
}
] |
69
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, -2, 5, -1],\n [9, 3, -9, 12],\n [12, 3, 6, 8],\n [3, 6, -9, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
938
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, -8, -12, 3],\n [-5, 10, 3, -8],\n [0, 9, 11, -5],\n [-3, 0, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
217
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 8, -7, -1],\n [0, -3, -10, -8],\n [0, 0, 12, 8],\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"
}
] |
576
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-4, -8, 10, -12],\n [0, 8, 0, -8],\n [0, 0, -12, 6],\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"
}
] |
160
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -4, 2, 4],\n [-4, 4, 6, -2],\n [2, 6, 7, -2],\n [4, -2, -2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
608
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -4, -6, 7],\n [0, -11, -5, 6],\n [0, 0, -4, 6],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
824
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[10, -7, -6, -11],\n [-4, -7, 1, 12],\n [-2, 9, -7, 3],\n [-7, 11, -4, -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"
}
] |
437
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 0, 0, 3],\n [-9, -3, 0, -6],\n [10, -2, -2, -12],\n [1, -9, -4, -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"
}
] |
128
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, -1, -4, -4],\n [-1, -4, -6, 2],\n [-4, -6, -11, -2],\n [-4, 2, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
205
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -3, 6, -8],\n [-3, -5, 3, 6],\n [6, 3, -4, -4],\n [-8, 6, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
613
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[12, 3, 0, -2],\n [3, -10, 5, 0],\n [0, 5, -5, 0],\n [-2, 0, 0, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
830
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-1, -10, 7, 12],\n [0, -12, -7, -9],\n [0, 0, 1, 7],\n [0, 0, 0, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
892
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 1, -2, -3],\n [1, -2, -4, -4],\n [-2, -4, 3, -10],\n [-3, -4, -10, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
634
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 3, 12, 6],\n [0, 8, 10, 6],\n [0, 0, -10, 9],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
600
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 1, 5, 3],\n [8, 5, -12, -4],\n [0, -6, 2, -8],\n [9, 6, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
890
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, 10, -3, -5],\n [-3, -11, 11, 12],\n [-12, -10, 5, -3],\n [-5, -8, -11, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
201
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 6, 4, -8],\n [6, -4, -7, 4],\n [4, -7, 4, 1],\n [-8, 4, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
566
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[0, -5, -7, 1],\n [-5, -10, -11, -4],\n [-9, -8, -5, -8],\n [-5, -11, 9, -12]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
806
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 0, -4, -1],\n [0, 12, -1, -9],\n [-4, -1, 3, 2],\n [-1, -9, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
193
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, -5, 3, 7],\n [-5, -12, 0, 6],\n [3, 0, 8, -2],\n [7, 6, -2, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
252
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, 12, 7, -1],\n [-12, 4, -11, -12],\n [2, 0, 3, 8],\n [-6, 3, 11, 9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
810
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, -8, -9, -3],\n [-8, -6, 5, 1],\n [-9, 5, 6, -2],\n [-3, 1, -2, 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"
}
] |
344
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 0, -8, 1],\n [0, 4, -6, -2],\n [-8, -6, -11, -4],\n [1, -2, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
72
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 4, -6, 0],\n [0, -2, 11, 8],\n [0, 0, 5, 1],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
240
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, -8, 3, 7],\n [0, -2, 3, 11],\n [0, 0, 12, -12],\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"
}
] |
344
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -2, -5, 10],\n [-10, 3, -11, -2],\n [7, -4, 7, -8],\n [-2, 3, -10, -5]]\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"
}
] |
11
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 4, 4, -6],\n [4, 0, -4, -4],\n [4, -4, -2, 6],\n [-6, -4, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -12, -5, 2],\n [0, 9, -8, -7],\n [0, 0, 9, 2],\n [0, 0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
455
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[7, -10, -2, 2],\n [-10, 6, -2, 0],\n [-2, -2, -12, 4],\n [2, 0, 4, -5]]\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"
}
] |
900
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 7, 2, 6],\n [-6, -6, -7, -10],\n [10, 3, 7, -10],\n [2, 12, 4, 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"
}
] |
720
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[10, -1, 7, -9],\n [0, 5, -7, 4],\n [0, 0, 11, -11],\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"
}
] |
100
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -9, -5, -2],\n [-7, -3, -12, -7],\n [-10, -12, -5, -11],\n [8, 9, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
946
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-4, -12, -9, 8],\n [11, 2, 9, 5],\n [-3, 8, 12, 12],\n [11, -6, -1, -9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
20
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[8, 6, -2, 0],\n [6, 11, -4, 4],\n [-2, -4, -11, 0],\n [0, 4, 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"
}
] |
600
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[5, 10, 4, 4],\n [10, 12, -7, 4],\n [4, -7, -10, -2],\n [4, 4, -2, -5]]\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"
}
] |
913
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[7, 4, 2, -5],\n [3, 0, 9, -2],\n [-1, 6, 7, -2],\n [-5, 12, 7, 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"
}
] |
562
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, -10, 9, -6],\n [10, -8, 4, 10],\n [-9, -11, 5, -2],\n [-6, -11, 6, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
662
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.