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_0200
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-5, 8, -2],\n [8, 7, 6],\n [-2, 6, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
257
|
math
|
arithmetic_matrix_determinant_train_0201
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[6, 6, -2],\n [-3, -10, 10],\n [-7, -10, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
176
|
math
|
arithmetic_matrix_determinant_train_0202
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-2, 2, 0],\n [2, 8, 9],\n [0, 9, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
62
|
math
|
arithmetic_matrix_determinant_train_0203
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[5, -4, 7],\n [-4, 5, -4],\n [7, -4, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
935
|
math
|
arithmetic_matrix_determinant_train_0204
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-6, -6, -4],\n [-6, -8, 6],\n [-4, 6, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
716
|
math
|
arithmetic_matrix_determinant_train_0205
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, -5, -6],\n [7, 6, -2],\n [3, 5, -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}"
}
] |
869
|
math
|
arithmetic_matrix_determinant_train_0206
|
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, 6, -2],\n [6, -8, -6],\n [-2, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
536
|
math
|
arithmetic_matrix_determinant_train_0207
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, -6, 7],\n [0, 2, 4],\n [-10, 2, -6]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
380
|
math
|
arithmetic_matrix_determinant_train_0208
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-4, 6, 2],\n [6, -7, 8],\n [2, 8, 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}"
}
] |
412
|
math
|
arithmetic_matrix_determinant_train_0209
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[6, -10, 4],\n [-10, 5, -8],\n [4, -8, -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}"
}
] |
526
|
math
|
arithmetic_matrix_determinant_train_0210
|
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 [1, -4, -1],\n [2, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
150
|
math
|
arithmetic_matrix_determinant_train_0211
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-5, 5, -3],\n [5, 8, -2],\n [-3, -2, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
748
|
math
|
arithmetic_matrix_determinant_train_0212
|
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 [2, -5, -3],\n [-2, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
62
|
math
|
arithmetic_matrix_determinant_train_0213
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-1, 6, -4],\n [6, -8, -8],\n [-4, -8, -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}"
}
] |
800
|
math
|
arithmetic_matrix_determinant_train_0214
|
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, -1, 8],\n [4, 3, 10],\n [-5, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
216
|
math
|
arithmetic_matrix_determinant_train_0215
|
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, 8, 5],\n [0, -1, -2],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
63
|
math
|
arithmetic_matrix_determinant_train_0216
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, -1, 6],\n [3, 10, 4],\n [-9, 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}"
}
] |
405
|
math
|
arithmetic_matrix_determinant_train_0217
|
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 [-2, -7, 1],\n [9, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
265
|
math
|
arithmetic_matrix_determinant_train_0218
|
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, 0, -6],\n [0, -6, 4],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
568
|
math
|
arithmetic_matrix_determinant_train_0219
|
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, 4, 5],\n [0, -3, -6],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
976
|
math
|
arithmetic_matrix_determinant_train_0220
|
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[[-4, -5, 0],\n [-5, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
974
|
math
|
arithmetic_matrix_determinant_train_0221
|
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[[-4, -5, -8],\n [8, -2, 2],\n [-5, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
738
|
math
|
arithmetic_matrix_determinant_train_0222
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[4, 2, 8],\n [-10, 10, 3],\n [-1, 7, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
670
|
math
|
arithmetic_matrix_determinant_train_0223
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[0, -2, -2],\n [-2, 6, -4],\n [-2, -4, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
984
|
math
|
arithmetic_matrix_determinant_train_0224
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, -6, -9],\n [7, -2, -1],\n [-9, 0, 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}"
}
] |
108
|
math
|
arithmetic_matrix_determinant_train_0225
|
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 [-2, 6, -6],\n [-2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
886
|
math
|
arithmetic_matrix_determinant_train_0226
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[3, -9, 10],\n [10, -9, 10],\n [6, -1, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
300
|
math
|
arithmetic_matrix_determinant_train_0227
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, -5, -1],\n [4, -1, 8],\n [8, 3, 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}"
}
] |
908
|
math
|
arithmetic_matrix_determinant_train_0228
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[1, -1, 2],\n [-1, -9, 8],\n [2, 8, -9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
30
|
math
|
arithmetic_matrix_determinant_train_0229
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[1, -7, 9],\n [-9, 8, -10],\n [9, 1, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
461
|
math
|
arithmetic_matrix_determinant_train_0230
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-2, 5, -8],\n [0, -10, 3],\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}"
}
] |
200
|
math
|
arithmetic_matrix_determinant_train_0231
|
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, 3, -3],\n [-7, -9, -10],\n [-9, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
891
|
math
|
arithmetic_matrix_determinant_train_0232
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-8, 5, 10],\n [0, 6, 6],\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}"
}
] |
480
|
math
|
arithmetic_matrix_determinant_train_0233
|
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, 9, 6],\n [1, -1, -7],\n [9, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
490
|
math
|
arithmetic_matrix_determinant_train_0234
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[2, 6, 5],\n [5, 1, 7],\n [6, 9, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
601
|
math
|
arithmetic_matrix_determinant_train_0235
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[7, -7, 0],\n [-7, -4, -4],\n [0, -4, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
580
|
math
|
arithmetic_matrix_determinant_train_0236
|
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, 1, 10],\n [-5, -3, 10],\n [-7, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
260
|
math
|
arithmetic_matrix_determinant_train_0237
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-4, -2, 2],\n [-2, -9, -4],\n [2, -4, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
812
|
math
|
arithmetic_matrix_determinant_train_0238
|
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, 5],\n [0, -10, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
920
|
math
|
arithmetic_matrix_determinant_train_0239
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-10, 10, 9],\n [0, 3, -2],\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}"
}
] |
210
|
math
|
arithmetic_matrix_determinant_train_0240
|
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, -6],\n [0, -4, 7],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
840
|
math
|
arithmetic_matrix_determinant_train_0241
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[1, -6, -8],\n [0, -1, 5],\n [0, 0, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
999
|
math
|
arithmetic_matrix_determinant_train_0242
|
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[[0, -4, -7],\n [-4, -3, -3],\n [-7, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
899
|
math
|
arithmetic_matrix_determinant_train_0243
|
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, 6, -6],\n [6, 0, 2],\n [-6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
744
|
math
|
arithmetic_matrix_determinant_train_0244
|
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, 9, -3],\n [0, 8, -10],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
968
|
math
|
arithmetic_matrix_determinant_train_0245
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[1, -2, -8],\n [-2, 5, 2],\n [-8, 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}"
}
] |
741
|
math
|
arithmetic_matrix_determinant_train_0246
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[3, -6, 5],\n [-2, 4, 10],\n [-7, -10, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
960
|
math
|
arithmetic_matrix_determinant_train_0247
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[1, -4, 6],\n [-4, 3, -8],\n [6, -8, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
290
|
math
|
arithmetic_matrix_determinant_train_0248
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, -5, -1],\n [0, -3, 7],\n [0, 0, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
946
|
math
|
arithmetic_matrix_determinant_train_0249
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[2, 4, -2],\n [4, 6, 2],\n [-2, 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}"
}
] |
976
|
math
|
arithmetic_matrix_determinant_train_0250
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[0, 3, -2],\n [3, 2, 3],\n [-2, 3, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
893
|
math
|
arithmetic_matrix_determinant_train_0251
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[10, -5, -8],\n [4, 10, -6],\n [-3, -7, -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}"
}
] |
514
|
math
|
arithmetic_matrix_determinant_train_0252
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-3, 0, 2],\n [-9, 7, -7],\n [-2, -3, -9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
334
|
math
|
arithmetic_matrix_determinant_train_0253
|
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, 1, 3],\n [0, -4, 2],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
40
|
math
|
arithmetic_matrix_determinant_train_0254
|
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, 2, -1],\n [2, 1, 4],\n [-1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
939
|
math
|
arithmetic_matrix_determinant_train_0255
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-8, -3, -9],\n [-10, 10, 4],\n [5, 1, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
72
|
math
|
arithmetic_matrix_determinant_train_0256
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[8, 9, -10],\n [-9, -1, 1],\n [4, 8, 1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
725
|
math
|
arithmetic_matrix_determinant_train_0257
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-1, 4, 5],\n [0, 3, -10],\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}"
}
] |
979
|
math
|
arithmetic_matrix_determinant_train_0258
|
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, -2, -4],\n [-2, -1, -4],\n [-4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
816
|
math
|
arithmetic_matrix_determinant_train_0259
|
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, 4],\n [0, -1, -3],\n [-8, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
232
|
math
|
arithmetic_matrix_determinant_train_0260
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-10, -2, -3],\n [-2, 5, -3],\n [-3, -3, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
793
|
math
|
arithmetic_matrix_determinant_train_0261
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-8, 7, -4],\n [-10, -9, 10],\n [-5, -6, -7]]? 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_0262
|
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[[-4, 2, -5],\n [3, 8, -9],\n [1, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
101
|
math
|
arithmetic_matrix_determinant_train_0263
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-3, 9, -2],\n [-4, -1, 10],\n [6, 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}"
}
] |
914
|
math
|
arithmetic_matrix_determinant_train_0264
|
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, 6, 7],\n [4, -2, 0],\n [8, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
840
|
math
|
arithmetic_matrix_determinant_train_0265
|
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, 0, 0],\n [0, -2, 6],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_determinant_train_0266
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, -7, -6],\n [-4, 2, 9],\n [0, 8, -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}"
}
] |
200
|
math
|
arithmetic_matrix_determinant_train_0267
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, -3, 5],\n [-9, -5, -3],\n [-1, 8, -5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
300
|
math
|
arithmetic_matrix_determinant_train_0268
|
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, -6, -3],\n [0, -4, -6],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
320
|
math
|
arithmetic_matrix_determinant_train_0269
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-1, -5, 10],\n [0, 6, 4],\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}"
}
] |
24
|
math
|
arithmetic_matrix_determinant_train_0270
|
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, 7, -8],\n [5, 9, 6],\n [-1, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
186
|
math
|
arithmetic_matrix_determinant_train_0271
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[4, 1, 9],\n [0, -8, 4],\n [0, 0, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
904
|
math
|
arithmetic_matrix_determinant_train_0272
|
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, 6, -9],\n [0, 5, 6],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
840
|
math
|
arithmetic_matrix_determinant_train_0273
|
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, -4, -6],\n [6, -5, 3],\n [-5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
396
|
math
|
arithmetic_matrix_determinant_train_0274
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-3, -8, 9],\n [-6, 4, 10],\n [-4, 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}"
}
] |
188
|
math
|
arithmetic_matrix_determinant_train_0275
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-2, -4, 6],\n [-4, 10, 6],\n [6, 6, 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}"
}
] |
244
|
math
|
arithmetic_matrix_determinant_train_0276
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[5, 0, 2],\n [0, 0, 2],\n [2, 2, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
980
|
math
|
arithmetic_matrix_determinant_train_0277
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-5, -2, -4],\n [-2, -1, -6],\n [-4, -6, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
106
|
math
|
arithmetic_matrix_determinant_train_0278
|
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, 2, 4],\n [8, -3, 9],\n [5, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
134
|
math
|
arithmetic_matrix_determinant_train_0279
|
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, 9, 10],\n [0, -8, 2],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
712
|
math
|
arithmetic_matrix_determinant_train_0280
|
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, 3, 3],\n [7, 2, 9],\n [-10, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
972
|
math
|
arithmetic_matrix_determinant_train_0281
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-4, 1, 4],\n [0, 9, -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}"
}
] |
216
|
math
|
arithmetic_matrix_determinant_train_0282
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-8, -8, 8],\n [0, -5, -3],\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}"
}
] |
760
|
math
|
arithmetic_matrix_determinant_train_0283
|
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, -4, -7],\n [0, 7, -8],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_determinant_train_0284
|
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, -2, 4],\n [0, 7, -9],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
252
|
math
|
arithmetic_matrix_determinant_train_0285
|
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, -8, -1],\n [5, 10, 7],\n [-5, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
784
|
math
|
arithmetic_matrix_determinant_train_0286
|
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, -9, 1],\n [0, -5, -7],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
240
|
math
|
arithmetic_matrix_determinant_train_0287
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-1, 8, -3],\n [0, 10, 7],\n [-3, 0, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
672
|
math
|
arithmetic_matrix_determinant_train_0288
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[9, 1, -4],\n [1, 10, 4],\n [-4, 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}"
}
] |
863
|
math
|
arithmetic_matrix_determinant_train_0289
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[9, -2, -2],\n [-2, -7, 8],\n [-2, 8, -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}"
}
] |
119
|
math
|
arithmetic_matrix_determinant_train_0290
|
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[[-4, 8, 1],\n [8, 2, -7],\n [1, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
730
|
math
|
arithmetic_matrix_determinant_train_0291
|
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, 8, -5],\n [0, -10, 7],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
160
|
math
|
arithmetic_matrix_determinant_train_0292
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[0, 0, -4],\n [0, -1, 0],\n [-4, 0, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_determinant_train_0293
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[10, 3, 6],\n [10, -10, 2],\n [-6, -9, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
334
|
math
|
arithmetic_matrix_determinant_train_0294
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[6, -2, -2],\n [-2, 6, 4],\n [-2, 4, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
40
|
math
|
arithmetic_matrix_determinant_train_0295
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-6, 8, 3],\n [9, -4, 3],\n [-3, -9, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
439
|
math
|
arithmetic_matrix_determinant_train_0296
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-7, -1, 5],\n [2, 8, -5],\n [-9, 4, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
837
|
math
|
arithmetic_matrix_determinant_train_0297
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-10, 8, 7],\n [8, 10, -9],\n [7, -9, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
968
|
math
|
arithmetic_matrix_determinant_train_0298
|
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, 1, 10],\n [0, 9, -3],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
162
|
math
|
arithmetic_matrix_determinant_train_0299
|
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, 8, -2],\n [8, -7, 4],\n [-2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
92
|
math
|
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