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_0900 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-10, 2, 6, 8],\n [2, 9, 4, -4],\n [6, 4, -12, 6],\n [8, -4, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 51 | math |
arithmetic_matrix_eigenvalues_train_0901 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-1, -3, 0, -4],\n [-3, 8, 6, 9],\n [0, 6, -3, -2],\n [-4, 9, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_eigenvalues_train_0902 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 0, 12, -9],\n [0, 6, 2, 9],\n [12, 2, 5, -2],\n [-9, 9, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0903 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -4, 9, 2],\n [0, 7, -6, -2],\n [0, 0, 9, 3],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0904 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -6, 2, 10],\n [-6, -3, 2, -4],\n [2, 2, -9, 10],\n [10, -4, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 42 | math |
arithmetic_matrix_eigenvalues_train_0905 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, -9, 5, -11],\n [0, 0, -1, -5],\n [0, 0, -6, -12],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0906 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -2, 2, -2],\n [-2, -5, 8, -6],\n [2, 8, 12, 9],\n [-2, -6, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0907 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 0, 5, 9],\n [0, -2, 6, 2],\n [0, 0, -11, 7],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_eigenvalues_train_0908 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -7, 1, 11],\n [0, -12, -6, 4],\n [0, 0, 3, -4],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0909 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 1, -6, -4],\n [1, 6, 6, -7],\n [-6, 6, 10, -6],\n [-4, -7, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0910 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, -9, 0, 10],\n [0, -7, -5, -2],\n [0, 0, 2, 5],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0911 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -8, 10, -12],\n [0, -9, -10, -8],\n [0, 0, -4, 5],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0912 | 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, -7, 6, -4],\n [-7, 5, -8, 4],\n [6, -8, 6, 0],\n [-4, 4, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 44 | math |
arithmetic_matrix_eigenvalues_train_0913 | 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, -10, -6, 6],\n [-10, 3, -2, 0],\n [-6, -2, -12, 8],\n [6, 0, 8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 45 | math |
arithmetic_matrix_eigenvalues_train_0914 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 0, -2, -6],\n [0, -7, 3, 6],\n [-2, 3, 5, -6],\n [-6, 6, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 38 | math |
arithmetic_matrix_eigenvalues_train_0915 | 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, -6, -2, 2],\n [-6, -12, -2, -3],\n [-2, -2, -2, 1],\n [2, -3, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_eigenvalues_train_0916 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[9, 0, 8, -7],\n [0, -4, -1, 4],\n [8, -1, -11, 8],\n [-7, 4, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_eigenvalues_train_0917 | 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, 11, -6],\n [2, -9, 4, 2],\n [11, 4, -7, -3],\n [-6, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 42 | math |
arithmetic_matrix_eigenvalues_train_0918 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 0, -2, 1],\n [0, 7, -1, 8],\n [0, 0, -3, 3],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_eigenvalues_train_0919 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-3, -10, 4, -1],\n [-10, 8, 2, -8],\n [4, 2, -11, 4],\n [-1, -8, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 46 | math |
arithmetic_matrix_eigenvalues_train_0920 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 8, -9, 7],\n [0, -8, 1, -8],\n [0, 0, 11, 8],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0921 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, 10, -2, 6],\n [10, 8, -2, 4],\n [-2, -2, -10, -2],\n [6, 4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0922 | 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, -6, -4, 6],\n [-6, 9, 2, 2],\n [-4, 2, -9, -10],\n [6, 2, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 44 | math |
arithmetic_matrix_eigenvalues_train_0923 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 5, -9, 8],\n [0, 6, 12, -10],\n [0, 0, -12, 0],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0924 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, 1, 0, 6],\n [1, 8, -6, 0],\n [0, -6, 9, -1],\n [6, 0, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0925 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 0, -1, 4],\n [0, 9, 4, -2],\n [0, 0, -6, -2],\n [0, 0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0926 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 1, -8, -6],\n [1, -3, -1, -6],\n [-8, -1, -11, -8],\n [-6, -6, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23 | math |
arithmetic_matrix_eigenvalues_train_0927 | 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, -9, 2, 5],\n [-9, 8, -4, 5],\n [2, -4, -5, -11],\n [5, 5, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 48 | math |
arithmetic_matrix_eigenvalues_train_0928 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, -2, -2, -1],\n [-2, -5, -3, -4],\n [-2, -3, 6, 0],\n [-1, -4, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0929 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, 3, -4, -1],\n [3, -2, 12, -10],\n [-4, 12, 5, 10],\n [-1, -10, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 56 | math |
arithmetic_matrix_eigenvalues_train_0930 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -7, -5, -7],\n [-7, -7, 1, -2],\n [-5, 1, -10, 0],\n [-7, -2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 38 | math |
arithmetic_matrix_eigenvalues_train_0931 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -4, 4, 1],\n [-4, 0, 9, 11],\n [4, 9, -1, -6],\n [1, 11, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0932 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 2, 8, 5],\n [2, 7, 2, 4],\n [8, 2, -8, 6],\n [5, 4, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_eigenvalues_train_0933 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, -4, -4, 4],\n [0, -12, 2, 5],\n [0, 0, 6, -1],\n [0, 0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_eigenvalues_train_0934 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, -3, 2, 0],\n [-3, -9, -6, 4],\n [2, -6, -2, 8],\n [0, 4, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_eigenvalues_train_0935 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, 0, -6, 0],\n [0, 0, 2, 9],\n [-6, 2, 0, 2],\n [0, 9, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_eigenvalues_train_0936 | 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, 9, 10, -3],\n [0, -10, -12, 6],\n [0, 0, 0, 10],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0937 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, -2, 8, -6],\n [-2, 8, -8, 0],\n [8, -8, -6, 2],\n [-6, 0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0938 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[2, 2, 0, -3],\n [2, -3, -2, 0],\n [0, -2, -3, -7],\n [-3, 0, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0939 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 0, -5, 6],\n [0, 7, -7, 8],\n [-5, -7, 0, 0],\n [6, 8, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0940 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -1, 0, -5],\n [0, -11, 8, -2],\n [0, 0, -12, 7],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_eigenvalues_train_0941 | 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, 0],\n [0, -4, -10, 5],\n [0, 0, 12, 1],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_eigenvalues_train_0942 | 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, -6, -9],\n [0, -12, 7, -11],\n [0, 0, -1, 5],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 25 | math |
arithmetic_matrix_eigenvalues_train_0943 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, 3, 6, 4],\n [3, -8, -10, 4],\n [6, -10, 11, 0],\n [4, 4, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_eigenvalues_train_0944 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 8, -10, 3],\n [8, 6, 0, -3],\n [-10, 0, 5, -6],\n [3, -3, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0945 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-7, -8, -4, 4],\n [-8, -9, 3, 3],\n [-4, 3, -3, -8],\n [4, 3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 41 | math |
arithmetic_matrix_eigenvalues_train_0946 | 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, 7, -3, -9],\n [0, 1, -11, 5],\n [0, 0, -7, -3],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_eigenvalues_train_0947 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[1, -3, 7, 12],\n [0, -9, -12, 10],\n [0, 0, -6, 1],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0948 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[12, -6, -4, 1],\n [-6, -7, 0, -10],\n [-4, 0, -7, 8],\n [1, -10, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 54 | math |
arithmetic_matrix_eigenvalues_train_0949 | 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, -4, 0, -2],\n [-4, -9, 3, -5],\n [0, 3, -9, -2],\n [-2, -5, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_eigenvalues_train_0950 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 2, -11, -8],\n [0, 10, 12, 5],\n [0, 0, -11, -4],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_eigenvalues_train_0951 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, 2, 3, 5],\n [0, 4, 11, 2],\n [0, 0, -8, 6],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0952 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, -2, -6, -2],\n [-2, -7, -1, -4],\n [-6, -1, -12, 11],\n [-2, -4, 11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 43 | math |
arithmetic_matrix_eigenvalues_train_0953 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 12, 0, 6],\n [0, 7, 2, -10],\n [0, 0, 1, -1],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_eigenvalues_train_0954 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, 0, 1, 12],\n [0, -11, -10, -1],\n [1, -10, 6, 4],\n [12, -1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0955 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-12, -2, -6, -2],\n [0, 7, -5, -10],\n [0, 0, -9, 9],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_eigenvalues_train_0956 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -6, -4, 2],\n [0, 4, 11, 4],\n [0, 0, 3, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0957 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, -2, 5, -6],\n [-2, -9, 4, -9],\n [5, 4, 1, 0],\n [-6, -9, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0958 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, -1, 5, -3],\n [-1, 2, -5, -4],\n [5, -5, -3, 6],\n [-3, -4, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0959 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[11, -1, 2, 2],\n [0, -6, 9, 12],\n [0, 0, 7, -5],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0960 | 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, -10, 2, 0],\n [-10, 6, -2, -7],\n [2, -2, -3, 8],\n [0, -7, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 42 | math |
arithmetic_matrix_eigenvalues_train_0961 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 0, -8, -2],\n [0, -3, -11, -3],\n [-8, -11, 3, 8],\n [-2, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_eigenvalues_train_0962 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[5, 3, 4, -2],\n [3, 10, 2, -8],\n [4, 2, 5, -1],\n [-2, -8, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_eigenvalues_train_0963 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[7, -6, -2, 7],\n [0, -4, 6, -7],\n [0, 0, 3, -12],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_eigenvalues_train_0964 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-2, 0, -1, 11],\n [0, 4, 2, 6],\n [-1, 2, -3, -12],\n [11, 6, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 43 | math |
arithmetic_matrix_eigenvalues_train_0965 | 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, 0, 0],\n [-8, 5, 4, -3],\n [0, 4, 6, -6],\n [0, -3, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_eigenvalues_train_0966 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -7, -2, 7],\n [-7, 7, 1, -4],\n [-2, 1, 1, 0],\n [7, -4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_eigenvalues_train_0967 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -8, -7, -2],\n [-8, -4, 2, 2],\n [-7, 2, -2, 10],\n [-2, 2, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0968 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[12, -6, 5, 12],\n [-6, 7, -1, 7],\n [5, -1, 1, 8],\n [12, 7, 8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 49 | math |
arithmetic_matrix_eigenvalues_train_0969 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-11, -4, 12, 11],\n [0, 2, -10, 7],\n [0, 0, 4, -8],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 26 | math |
arithmetic_matrix_eigenvalues_train_0970 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, -8, 11, -1],\n [0, -8, -1, -10],\n [0, 0, -5, -2],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_eigenvalues_train_0971 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, 0, -6, 0],\n [0, 12, 0, -4],\n [-6, 0, -9, -4],\n [0, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0972 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, 3, 2, 0],\n [3, 10, 3, -8],\n [2, 3, 3, 4],\n [0, -8, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 41 | math |
arithmetic_matrix_eigenvalues_train_0973 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[7, 9, 1, -5],\n [0, 9, 9, 6],\n [0, 0, 12, -8],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 40 | math |
arithmetic_matrix_eigenvalues_train_0974 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, -4, 4, -6],\n [-4, 0, 2, 4],\n [4, 2, -12, -5],\n [-6, 4, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0975 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-10, -1, -10, 10],\n [0, 6, -11, 7],\n [0, 0, 7, -4],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 25 | math |
arithmetic_matrix_eigenvalues_train_0976 | 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, 0, 9],\n [-2, -12, -4, -4],\n [0, -4, -7, -2],\n [9, -4, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 43 | math |
arithmetic_matrix_eigenvalues_train_0977 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 2, 0, -8],\n [2, 6, 2, 4],\n [0, 2, 12, 1],\n [-8, 4, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0978 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 1, 10, 2],\n [0, -4, -2, 4],\n [0, 0, -1, -9],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0979 | 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, 2, -5],\n [2, -8, 7, -3],\n [2, 7, -5, 6],\n [-5, -3, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_eigenvalues_train_0980 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-3, 0, -6, -4],\n [0, 3, 5, -6],\n [-6, 5, -5, -5],\n [-4, -6, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0981 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[4, -6, 10, 2],\n [0, -10, -3, -9],\n [0, 0, -11, -10],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0982 | 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, 8, -10, 1],\n [8, -10, 0, -2],\n [-10, 0, -1, -2],\n [1, -2, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 45 | math |
arithmetic_matrix_eigenvalues_train_0983 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 5, -12, 8],\n [0, -5, -6, -5],\n [0, 0, 11, 2],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0984 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[4, 10, -9, -11],\n [0, -11, 3, 3],\n [0, 0, -1, -8],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0985 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-1, 0, -8, 10],\n [0, 2, -7, 9],\n [0, 0, 0, -2],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0986 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, -2, 1, -2],\n [-2, -5, -2, 6],\n [1, -2, 10, -1],\n [-2, 6, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_eigenvalues_train_0987 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 5, 0, -7],\n [0, 5, 11, -9],\n [0, 0, 0, 7],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_eigenvalues_train_0988 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-4, -2, 0, 4],\n [-2, -3, 6, 4],\n [0, 6, 3, 0],\n [4, 4, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 32 | math |
arithmetic_matrix_eigenvalues_train_0989 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, -12, 8, -8],\n [0, -3, -3, -11],\n [0, 0, -2, 1],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0990 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[12, 0, -2, 8],\n [0, 8, 6, 4],\n [-2, 6, 1, 8],\n [8, 4, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 45 | math |
arithmetic_matrix_eigenvalues_train_0991 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[3, 0, 0, 3],\n [0, -10, 3, 0],\n [0, 3, -1, 6],\n [3, 0, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27 | math |
arithmetic_matrix_eigenvalues_train_0992 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-10, -9, -9, -2],\n [0, 10, 8, -4],\n [0, 0, 12, -6],\n [0, 0, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 44 | math |
arithmetic_matrix_eigenvalues_train_0993 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 6, 2, -5],\n [0, 5, -2, -12],\n [0, 0, -2, -3],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0994 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 3, 11, 2],\n [3, -10, -5, 2],\n [11, -5, -7, 0],\n [2, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0995 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 8, -8, 8],\n [8, -5, -2, 4],\n [-8, -2, -6, 10],\n [8, 4, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_eigenvalues_train_0996 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 4, 8, 1],\n [0, -9, 8, 8],\n [0, 0, 9, 0],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0997 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[8, 2, 0, -2],\n [2, 11, 3, 0],\n [0, 3, -6, -6],\n [-2, 0, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_eigenvalues_train_0998 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -11, 6, -12],\n [0, -3, 2, 2],\n [0, 0, 7, -3],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0999 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-12, 2, -6, 0],\n [2, 3, -11, 0],\n [-6, -11, -1, -5],\n [0, 0, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
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