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 |
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