id
stringlengths 40
40
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
1
| ground_truth
stringlengths 1
3
| dataset
stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_determinant_train_0100
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[1, -8, 4],\n [-8, 5, 5],\n [4, 5, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
280
|
math
|
arithmetic_matrix_determinant_train_0101
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, -7, 4],\n [5, 4, -10],\n [2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
93
|
math
|
arithmetic_matrix_determinant_train_0102
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 4, -4],\n [4, 6, 10],\n [-4, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
226
|
math
|
arithmetic_matrix_determinant_train_0103
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, 0, -6],\n [0, -3, 2],\n [0, 0, -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}"
}
] |
850
|
math
|
arithmetic_matrix_determinant_train_0104
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, 0, 8],\n [0, -2, -2],\n [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}"
}
] |
892
|
math
|
arithmetic_matrix_determinant_train_0105
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, -7, -1],\n [-4, -9, 8],\n [8, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
610
|
math
|
arithmetic_matrix_determinant_train_0106
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[10, 9, 6],\n [0, 5, -9],\n [0, 0, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
200
|
math
|
arithmetic_matrix_determinant_train_0107
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-7, -8, 7],\n [0, 4, -7],\n [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}"
}
] |
168
|
math
|
arithmetic_matrix_determinant_train_0108
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 5, 9],\n [-1, 8, 1],\n [4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
523
|
math
|
arithmetic_matrix_determinant_train_0109
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[10, -3, 4],\n [-3, 0, 2],\n [4, 2, 0]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
912
|
math
|
arithmetic_matrix_determinant_train_0110
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, -7, 8],\n [0, -6, 3],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
700
|
math
|
arithmetic_matrix_determinant_train_0111
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[1, -4, 6],\n [-4, 10, 4],\n [6, 4, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
426
|
math
|
arithmetic_matrix_determinant_train_0112
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, 1, -8],\n [6, 1, 3],\n [-6, -9, 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}"
}
] |
108
|
math
|
arithmetic_matrix_determinant_train_0113
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, 0, -2],\n [2, -10, 3],\n [-5, -10, -1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
140
|
math
|
arithmetic_matrix_determinant_train_0114
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[2, -4, -3],\n [-4, 0, 2],\n [-3, 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}"
}
] |
944
|
math
|
arithmetic_matrix_determinant_train_0115
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[4, -4, -4],\n [0, -2, 5],\n [0, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
960
|
math
|
arithmetic_matrix_determinant_train_0116
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[6, -8, -6],\n [-5, 5, -6],\n [9, -7, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
230
|
math
|
arithmetic_matrix_determinant_train_0117
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 1, -2],\n [0, -9, -3],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
324
|
math
|
arithmetic_matrix_determinant_train_0118
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, 4, -10],\n [-7, 5, 0],\n [3, -4, -6]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
702
|
math
|
arithmetic_matrix_determinant_train_0119
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-4, 8, 8],\n [10, 6, 7],\n [10, -9, 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}"
}
] |
68
|
math
|
arithmetic_matrix_determinant_train_0120
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 10, -2],\n [-6, 2, 5],\n [10, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
374
|
math
|
arithmetic_matrix_determinant_train_0121
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, 2, 2],\n [2, 3, 2],\n [2, 2, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
916
|
math
|
arithmetic_matrix_determinant_train_0122
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-7, 3, -10],\n [0, -9, 4],\n [0, 0, -8]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
496
|
math
|
arithmetic_matrix_determinant_train_0123
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, 0, -1],\n [0, -5, -3],\n [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}"
}
] |
350
|
math
|
arithmetic_matrix_determinant_train_0124
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[5, 1, 8],\n [-5, -7, 7],\n [-9, -2, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
613
|
math
|
arithmetic_matrix_determinant_train_0125
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-1, 7, 5],\n [5, -10, -1],\n [10, -6, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
461
|
math
|
arithmetic_matrix_determinant_train_0126
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-1, -8, 8],\n [-8, -7, 4],\n [8, 4, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
465
|
math
|
arithmetic_matrix_determinant_train_0127
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 7, 10],\n [-6, 1, 2],\n [-6, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
450
|
math
|
arithmetic_matrix_determinant_train_0128
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, 10, 0],\n [10, -10, 2],\n [0, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
444
|
math
|
arithmetic_matrix_determinant_train_0129
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -2, 2],\n [-2, -1, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_determinant_train_0130
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 3, -2],\n [-4, -7, -10],\n [8, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
735
|
math
|
arithmetic_matrix_determinant_train_0131
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, -2, -6],\n [-4, -2, -9],\n [-1, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
402
|
math
|
arithmetic_matrix_determinant_train_0132
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -1, -4],\n [0, 4, 10],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
968
|
math
|
arithmetic_matrix_determinant_train_0133
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, -4, -4],\n [-4, -2, 4],\n [-4, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
898
|
math
|
arithmetic_matrix_determinant_train_0134
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[0, -4, -10],\n [-4, -7, 2],\n [-10, 2, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
764
|
math
|
arithmetic_matrix_determinant_train_0135
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, -5, -8],\n [-2, 0, -2],\n [3, 5, -8]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
100
|
math
|
arithmetic_matrix_determinant_train_0136
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-2, 3, -1],\n [0, -7, 1],\n [0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
140
|
math
|
arithmetic_matrix_determinant_train_0137
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[4, 4, 2],\n [4, 8, 0],\n [2, 0, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
48
|
math
|
arithmetic_matrix_determinant_train_0138
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 0, 4],\n [0, 8, 4],\n [4, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
752
|
math
|
arithmetic_matrix_determinant_train_0139
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-1, 0, 3],\n [0, 9, 0],\n [3, 0, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
847
|
math
|
arithmetic_matrix_determinant_train_0140
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[5, 0, -3],\n [-8, -7, -4],\n [5, 9, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
116
|
math
|
arithmetic_matrix_determinant_train_0141
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[7, 4, 6],\n [4, 10, 4],\n [6, 4, 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}"
}
] |
882
|
math
|
arithmetic_matrix_determinant_train_0142
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, -10, -2],\n [4, 6, -1],\n [6, -7, 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}"
}
] |
178
|
math
|
arithmetic_matrix_determinant_train_0143
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-4, 2, 6],\n [2, -4, 3],\n [6, 3, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
156
|
math
|
arithmetic_matrix_determinant_train_0144
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, -1, -4],\n [4, -4, 9],\n [0, -5, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
64
|
math
|
arithmetic_matrix_determinant_train_0145
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 6, -6],\n [6, 9, 4],\n [-6, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
218
|
math
|
arithmetic_matrix_determinant_train_0146
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 10, -9],\n [1, 1, 2],\n [-9, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
875
|
math
|
arithmetic_matrix_determinant_train_0147
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -1, 2],\n [0, 6, 2],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
168
|
math
|
arithmetic_matrix_determinant_train_0148
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -2, 10],\n [0, -5, -10],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_determinant_train_0149
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[6, 4, 10],\n [10, -10, -2],\n [6, 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}"
}
] |
252
|
math
|
arithmetic_matrix_determinant_train_0150
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[9, 2, -6],\n [2, 3, 3],\n [-6, 3, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
946
|
math
|
arithmetic_matrix_determinant_train_0151
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-8, -9, 6],\n [-6, 10, -9],\n [2, -8, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
442
|
math
|
arithmetic_matrix_determinant_train_0152
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 4, 2],\n [4, 1, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
972
|
math
|
arithmetic_matrix_determinant_train_0153
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[4, -8, -10],\n [0, -5, 7],\n [0, 0, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
920
|
math
|
arithmetic_matrix_determinant_train_0154
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-2, 6, 7],\n [-1, 3, 7],\n [-4, -3, 1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
895
|
math
|
arithmetic_matrix_determinant_train_0155
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 4, -7],\n [0, 2, -5],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
856
|
math
|
arithmetic_matrix_determinant_train_0156
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[10, 2, 0],\n [6, -6, -3],\n [4, 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}"
}
] |
456
|
math
|
arithmetic_matrix_determinant_train_0157
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, 9, -4],\n [0, -3, 9],\n [0, 0, -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}"
}
] |
910
|
math
|
arithmetic_matrix_determinant_train_0158
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-6, -6, 4],\n [-6, -3, 0],\n [4, 0, -9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
210
|
math
|
arithmetic_matrix_determinant_train_0159
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 7, -3],\n [-1, -10, 8],\n [-1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
52
|
math
|
arithmetic_matrix_determinant_train_0160
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -2, 4],\n [-2, -5, -2],\n [4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
111
|
math
|
arithmetic_matrix_determinant_train_0161
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[7, -10, -2],\n [2, -1, -10],\n [-4, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
478
|
math
|
arithmetic_matrix_determinant_train_0162
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-9, -5, 0],\n [-10, 1, 5],\n [-8, 9, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_determinant_train_0163
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 9, 8],\n [0, 7, -9],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
294
|
math
|
arithmetic_matrix_determinant_train_0164
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 2, -2],\n [2, 0, -4],\n [-2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_determinant_train_0165
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, -6, 10],\n [-7, -3, 10],\n [7, 9, -1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
985
|
math
|
arithmetic_matrix_determinant_train_0166
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 7, -4],\n [0, 10, 9],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
900
|
math
|
arithmetic_matrix_determinant_train_0167
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-3, -2, 0],\n [-2, 0, 2],\n [0, 2, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
976
|
math
|
arithmetic_matrix_determinant_train_0168
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, -6, 3],\n [-6, 3, 2],\n [3, 2, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
261
|
math
|
arithmetic_matrix_determinant_train_0169
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 8, 6],\n [8, -8, -3],\n [6, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
145
|
math
|
arithmetic_matrix_determinant_train_0170
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[8, -8, -3],\n [-3, 6, -7],\n [-9, -9, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
893
|
math
|
arithmetic_matrix_determinant_train_0171
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, -4, -9],\n [0, -8, -9],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
952
|
math
|
arithmetic_matrix_determinant_train_0172
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[6, 9, 3],\n [4, -9, 1],\n [3, 7, 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}"
}
] |
250
|
math
|
arithmetic_matrix_determinant_train_0173
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[6, 2, 8],\n [5, 8, -10],\n [-4, -3, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
656
|
math
|
arithmetic_matrix_determinant_train_0174
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -3, -10],\n [0, 2, 4],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
128
|
math
|
arithmetic_matrix_determinant_train_0175
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[1, 0, -5],\n [0, 9, 5],\n [0, 0, -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}"
}
] |
919
|
math
|
arithmetic_matrix_determinant_train_0176
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 6, -5],\n [1, -8, -3],\n [2, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
875
|
math
|
arithmetic_matrix_determinant_train_0177
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[8, 7, 9],\n [-7, -2, -10],\n [-5, 6, 1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
395
|
math
|
arithmetic_matrix_determinant_train_0178
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[7, -3, 2],\n [0, 10, -9],\n [0, 0, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
370
|
math
|
arithmetic_matrix_determinant_train_0179
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[10, -4, -1],\n [6, 3, -1],\n [6, -9, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
574
|
math
|
arithmetic_matrix_determinant_train_0180
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[9, 9, -1],\n [0, 6, 4],\n [0, 0, -5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
730
|
math
|
arithmetic_matrix_determinant_train_0181
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-10, 5, -7],\n [5, -7, 2],\n [-7, 2, -5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_determinant_train_0182
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 5, 5],\n [2, -9, 1],\n [-6, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
329
|
math
|
arithmetic_matrix_determinant_train_0183
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, -9, -2],\n [0, 7, -4],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
895
|
math
|
arithmetic_matrix_determinant_train_0184
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 0, 1],\n [0, 3, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1
|
math
|
arithmetic_matrix_determinant_train_0185
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[6, 4, 8],\n [0, -1, -4],\n [0, 0, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
42
|
math
|
arithmetic_matrix_determinant_train_0186
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -2, -2],\n [-1, 4, 10],\n [6, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
856
|
math
|
arithmetic_matrix_determinant_train_0187
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-1, -8, -2],\n [-8, -7, -2],\n [-2, -2, -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}"
}
] |
481
|
math
|
arithmetic_matrix_determinant_train_0188
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, 9, 2],\n [9, -1, -3],\n [2, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
485
|
math
|
arithmetic_matrix_determinant_train_0189
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[1, -2, 1],\n [0, -3, 0],\n [0, 0, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_determinant_train_0190
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 7, 9],\n [0, 5, 2],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
865
|
math
|
arithmetic_matrix_determinant_train_0191
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[7, -10, -4],\n [0, -6, 2],\n [0, 0, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
294
|
math
|
arithmetic_matrix_determinant_train_0192
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -6, 4],\n [-6, 1, 0],\n [4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
194
|
math
|
arithmetic_matrix_determinant_train_0193
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[1, -10, -8],\n [0, -1, 1],\n [0, 0, -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}"
}
] |
5
|
math
|
arithmetic_matrix_determinant_train_0194
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[3, -7, 9],\n [0, 10, 6],\n [0, 0, -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}"
}
] |
910
|
math
|
arithmetic_matrix_determinant_train_0195
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[2, 2, 7],\n [2, 2, 2],\n [7, 2, 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}"
}
] |
950
|
math
|
arithmetic_matrix_determinant_train_0196
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 2, 4],\n [0, -2, 6],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
80
|
math
|
arithmetic_matrix_determinant_train_0197
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[4, 0, 4],\n [0, -8, 9],\n [0, 0, 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}"
}
] |
968
|
math
|
arithmetic_matrix_determinant_train_0198
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-6, -2, 5],\n [0, -4, 2],\n [0, 0, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
96
|
math
|
arithmetic_matrix_determinant_train_0199
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[2, 4, 10],\n [4, -3, 4],\n [10, 4, 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}"
}
] |
456
|
math
|
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