id
stringlengths 40
40
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
1
| ground_truth
stringclasses 56
values | dataset
stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_eigenvalues_train_0200
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, 0, -5],\n [0, -9, 4],\n [-5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0201
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -4, -4],\n [-4, 10, 3],\n [-4, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
28
|
math
|
arithmetic_matrix_eigenvalues_train_0202
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, -2, 6],\n [-2, -2, 0],\n [6, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0203
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 7, 7],\n [0, 5, 5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0204
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, 3, -2],\n [0, -1, 10],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0205
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 8, 0],\n [0, 5, 6],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0206
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 2, 6],\n [2, -3, 5],\n [6, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0207
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, -3, 2],\n [-3, -8, -10],\n [2, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0208
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, -3, -3],\n [0, 4, -5],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0209
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 0, -2],\n [0, -1, 4],\n [-2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0210
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, 6, 0],\n [0, 9, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0211
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 1, 2],\n [1, 0, -4],\n [2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0212
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 8, -5],\n [8, 0, 0],\n [-5, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
28
|
math
|
arithmetic_matrix_eigenvalues_train_0213
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -5, -8],\n [0, 0, 7],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_eigenvalues_train_0214
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, 2, 9],\n [2, -8, -4],\n [9, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
30
|
math
|
arithmetic_matrix_eigenvalues_train_0215
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 8, 2],\n [8, 7, -6],\n [2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0216
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, 0, -1],\n [0, 7, -1],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0217
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 0, 8],\n [0, -7, 6],\n [8, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
29
|
math
|
arithmetic_matrix_eigenvalues_train_0218
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, -4, 0],\n [-4, 4, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0219
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 7, -6],\n [7, 8, 4],\n [-6, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0220
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 2, 2],\n [2, -2, -4],\n [2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0221
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, 3, 1],\n [0, 0, -2],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0222
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 8, 7],\n [8, -4, 2],\n [7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0223
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -2, 0],\n [-2, 10, -5],\n [0, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0224
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 7, 5],\n [0, 4, -6],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0225
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 2, -8],\n [2, -8, -2],\n [-8, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0226
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -3, 0],\n [-3, -5, 7],\n [0, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0227
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, 1, 4],\n [1, 9, -2],\n [4, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0228
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 6, 0],\n [6, -2, -2],\n [0, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0229
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 1, -3],\n [1, 10, 10],\n [-3, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
38
|
math
|
arithmetic_matrix_eigenvalues_train_0230
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[4, 3, 2],\n [3, 3, 7],\n [2, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0231
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 6, 0],\n [6, -9, -4],\n [0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0232
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -9, 10],\n [0, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0233
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, 8, 6],\n [0, -1, -3],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0234
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, 7, -2],\n [7, 1, -2],\n [-2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0235
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 8, 3],\n [8, -4, 0],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0236
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -1, 7],\n [-1, -8, 8],\n [7, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0237
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, -3, -10],\n [0, 1, -5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_eigenvalues_train_0238
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, -2, -2],\n [-2, -3, -6],\n [-2, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0239
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -7, -3],\n [0, -8, -4],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0240
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, -1, 5],\n [0, -3, 6],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_eigenvalues_train_0241
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -4, 2],\n [-4, -6, 0],\n [2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0242
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 9, 3],\n [0, 2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0243
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 3],\n [2, 0, 2],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_eigenvalues_train_0244
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 4, 2],\n [0, -10, -6],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0245
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -4, 6],\n [-4, -9, 5],\n [6, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0246
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 6, -4],\n [6, 1, 3],\n [-4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0247
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 8, -6],\n [8, -10, -10],\n [-6, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_eigenvalues_train_0248
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 7, -4],\n [0, 6, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0249
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -9, 7],\n [0, 10, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_eigenvalues_train_0250
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -4, -6],\n [-4, 9, -3],\n [-6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0251
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 0, -4],\n [0, -10, 0],\n [-4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0252
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -7, 5],\n [0, -1, 7],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_eigenvalues_train_0253
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, 4, 5],\n [4, 8, 2],\n [5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0254
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 6, 0],\n [6, -10, 5],\n [0, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0255
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 8, 5],\n [0, -7, 10],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0256
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -5, -2],\n [-5, 5, 2],\n [-2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0257
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -6, -6],\n [0, 2, -5],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0258
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 1, -2],\n [1, -5, -4],\n [-2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0259
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, -5, 10],\n [0, -6, -10],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0260
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, -2, 2],\n [-2, 5, -4],\n [2, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0261
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 3, -8],\n [3, 5, -6],\n [-8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
31
|
math
|
arithmetic_matrix_eigenvalues_train_0262
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -4, -6],\n [-4, 0, -3],\n [-6, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0263
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 0, -6],\n [0, 7, -6],\n [-6, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_eigenvalues_train_0264
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, 2, -4],\n [2, 7, -3],\n [-4, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_eigenvalues_train_0265
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, 4, -6],\n [0, -6, -4],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
23
|
math
|
arithmetic_matrix_eigenvalues_train_0266
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 2, -3],\n [2, -8, -8],\n [-3, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0267
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 3, 2],\n [3, -9, 0],\n [2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0268
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 4, -3],\n [0, -5, 6],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0269
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 1, 3],\n [0, -5, -5],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0270
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, -6, -6],\n [0, -8, -5],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0271
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 4, 2],\n [4, -6, 0],\n [2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0272
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, 8, -9],\n [0, 1, -3],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_eigenvalues_train_0273
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 0, -10],\n [0, 3, -4],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0274
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 3, 4],\n [3, 3, -2],\n [4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0275
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -2, -7],\n [-2, 3, -1],\n [-7, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0276
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 4, 2],\n [4, 4, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0277
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, -4, 0],\n [-4, 7, 4],\n [0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0278
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 8, 5],\n [0, 0, -7],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0279
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 5, -1],\n [0, -6, -10],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_eigenvalues_train_0280
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, -1, -10],\n [0, -4, -10],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0281
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -4, -6],\n [-4, -10, -2],\n [-6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
23
|
math
|
arithmetic_matrix_eigenvalues_train_0282
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -9, -1],\n [0, -7, -7],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0283
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 8],\n [0, 2, 0],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0284
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, -6, 5],\n [0, 2, -4],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0285
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, -4, 0],\n [-4, -1, -6],\n [0, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0286
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 0, 0],\n [0, 4, 4],\n [0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0287
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -6, -2],\n [-6, -9, 0],\n [-2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0288
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 10, 3],\n [0, 9, -10],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0289
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 8, 5],\n [0, 2, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0290
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 0, 0],\n [0, -8, 8],\n [0, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
27
|
math
|
arithmetic_matrix_eigenvalues_train_0291
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 4, -5],\n [0, 8, -10],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_eigenvalues_train_0292
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 4, 5],\n [0, 9, 4],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0293
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -4, 0],\n [-4, -8, -2],\n [0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0294
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 6, 2],\n [6, 1, -2],\n [2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0295
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 5, -4],\n [5, 2, -4],\n [-4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_eigenvalues_train_0296
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, -5, 2],\n [0, 2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
arithmetic_matrix_eigenvalues_train_0297
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 8, -8],\n [0, -4, 8],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_eigenvalues_train_0298
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -4, 6],\n [-4, 8, -5],\n [6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0299
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 5],\n [2, 1, -3],\n [5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.