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_0000
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 7, 7],\n [0, -10, 6],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0001
|
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, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0002
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 6, -3],\n [6, -9, -1],\n [-3, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0003
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, 7, -4],\n [0, 9, 8],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0004
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -1, 5],\n [-1, 5, -4],\n [5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0005
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, -4, 4],\n [-4, 10, -4],\n [4, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0006
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, 2, 2],\n [0, 3, 10],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0007
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, 4, -4],\n [4, -9, 1],\n [-4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0008
|
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, -1, 1],\n [-1, -10, -5],\n [1, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0009
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[1, 2, 2],\n [2, -10, -6],\n [2, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0010
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, 4, 4],\n [4, -9, 6],\n [4, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0011
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 4, 0],\n [4, 8, -3],\n [0, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0012
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[1, -1, 4],\n [0, -10, 7],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0013
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, -4, 5],\n [0, -8, -6],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0014
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[7, 4, -9],\n [0, -3, -4],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0015
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 8, -7],\n [0, 8, 2],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0016
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, 3, -2],\n [0, -3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0017
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, 9, 2],\n [9, -5, -1],\n [2, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0018
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 3, 3],\n [3, 10, 0],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0019
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 2, -6],\n [2, 0, -5],\n [-6, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0020
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, 6, 1],\n [6, 7, 0],\n [1, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0021
|
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, 9, -6],\n [0, -9, 2],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_eigenvalues_train_0022
|
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, -1, 0],\n [-1, 4, 8],\n [0, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
27
|
math
|
arithmetic_matrix_eigenvalues_train_0023
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-10, 3, -8],\n [0, 6, 9],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0024
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 4, -1],\n [4, 2, 2],\n [-1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0025
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -5, -5],\n [0, 4, -8],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_eigenvalues_train_0026
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, 2, -4],\n [2, 3, 8],\n [-4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0027
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 4, -1],\n [0, -10, -1],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0028
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, 5, 3],\n [0, -3, -4],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
arithmetic_matrix_eigenvalues_train_0029
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 6, 0],\n [6, -3, -2],\n [0, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0030
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 0, 1],\n [0, 6, 0],\n [1, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0031
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 4, 4],\n [4, 3, 0],\n [4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0032
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-9, 1, 7],\n [1, -1, 0],\n [7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0033
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 6, 8],\n [6, -6, 6],\n [8, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0034
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, 2, 0],\n [2, 3, 2],\n [0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0035
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 4, 6],\n [4, -7, 5],\n [6, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0036
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 4, 7],\n [4, 9, 5],\n [7, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0037
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -6, -4],\n [0, 4, 4],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0038
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 0],\n [2, -6, 0],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0039
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, 4, 5],\n [4, -1, 4],\n [5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0040
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 0, -4],\n [0, 0, -7],\n [-4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0041
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, -6, 7],\n [0, 10, -2],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0042
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 8, 4],\n [8, 2, -6],\n [4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
27
|
math
|
arithmetic_matrix_eigenvalues_train_0043
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -4, 4],\n [-4, -9, -2],\n [4, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
23
|
math
|
arithmetic_matrix_eigenvalues_train_0044
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[10, -4, 7],\n [-4, -2, 4],\n [7, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_eigenvalues_train_0045
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 0, -2],\n [0, -7, 2],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0046
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, 4, -2],\n [4, 3, -2],\n [-2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0047
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 8, -7],\n [0, -4, 7],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0048
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, -2, -1],\n [-2, -6, -5],\n [-1, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0049
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, -5, 5],\n [-5, -5, 0],\n [5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
23
|
math
|
arithmetic_matrix_eigenvalues_train_0050
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-5, 0, 3],\n [0, -9, 2],\n [3, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_eigenvalues_train_0051
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, -4, 2],\n [-4, 7, -2],\n [2, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0052
|
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, -2, -6],\n [-2, -7, 0],\n [-6, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0053
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 4, 1],\n [4, 1, 6],\n [1, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_eigenvalues_train_0054
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-1, -2, 2],\n [-2, 2, -2],\n [2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0055
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -1, 4],\n [-1, -3, -2],\n [4, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0056
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 1, -6],\n [1, -9, 3],\n [-6, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_eigenvalues_train_0057
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[7, -2, -2],\n [-2, 6, 0],\n [-2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0058
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[8, -6, -5],\n [-6, 9, -4],\n [-5, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0059
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 5, 10],\n [0, -3, -5],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
arithmetic_matrix_eigenvalues_train_0060
|
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, 4, -9],\n [0, 9, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0061
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -10, 3],\n [0, 1, -9],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0062
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 8, 2],\n [8, 9, 0],\n [2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0063
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-7, -6, -1],\n [-6, -10, -8],\n [-1, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0064
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 3, 6],\n [3, -9, 2],\n [6, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
12
|
math
|
arithmetic_matrix_eigenvalues_train_0065
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-6, -2, -4],\n [-2, -4, 2],\n [-4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_eigenvalues_train_0066
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -4, 5],\n [0, -8, -7],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_eigenvalues_train_0067
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, -3, 6],\n [0, 10, -5],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0068
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 0, 0],\n [0, 9, -8],\n [0, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0069
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 0, -10],\n [0, 5, -4],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0070
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[2, -3, 9],\n [0, -9, 1],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0071
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, -7, -2],\n [-7, -8, 0],\n [-2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_eigenvalues_train_0072
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, 8, 4],\n [8, 10, 6],\n [4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_eigenvalues_train_0073
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[2, -1, -7],\n [-1, 4, -2],\n [-7, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_eigenvalues_train_0074
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 6, -2],\n [0, -5, -2],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0075
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, -9, 8],\n [0, 7, 4],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_eigenvalues_train_0076
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, 0, 3],\n [0, -1, 1],\n [3, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0077
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[1, 4, 0],\n [0, -3, 7],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_eigenvalues_train_0078
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, -2, 5],\n [-2, 9, -2],\n [5, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0079
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-6, -3, 4],\n [-3, -2, -7],\n [4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0080
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 6, -6],\n [6, 8, 2],\n [-6, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0081
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 0, 0],\n [0, 8, 6],\n [0, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_eigenvalues_train_0082
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 0, -6],\n [0, 7, 4],\n [-6, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_eigenvalues_train_0083
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, -3, 6],\n [0, -8, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0084
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, 9, 4],\n [0, 1, -4],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0085
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 2, 7],\n [2, 5, -8],\n [7, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_eigenvalues_train_0086
|
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, 1, 0],\n [1, -7, -4],\n [0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_eigenvalues_train_0087
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -6, 6],\n [-6, -8, 5],\n [6, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0088
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, -10, -6],\n [0, -7, 4],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0089
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 0, 2],\n [0, 7, 6],\n [2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_eigenvalues_train_0090
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 10, -5],\n [0, 8, 5],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_eigenvalues_train_0091
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, 2, 4],\n [2, -6, -3],\n [4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0092
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 6, 5],\n [6, 4, -4],\n [5, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_eigenvalues_train_0093
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, 6, 6],\n [0, -3, -5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_eigenvalues_train_0094
|
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, 9, 7],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0095
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, 4, 4],\n [4, -1, 6],\n [4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0096
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 3, 2],\n [3, 7, 4],\n [2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_eigenvalues_train_0097
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 0, 4],\n [0, -3, 4],\n [4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_eigenvalues_train_0098
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, 8, -9],\n [0, 10, 7],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
26
|
math
|
arithmetic_matrix_eigenvalues_train_0099
|
arithmetic_matrix_eigenvalues
| null |
[
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[5, -5, 8],\n [-5, -2, 2],\n [8, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
End of preview. Expand
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