messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-1, 3, -2, 4, 12, 0],\n [3, 9, 8, -8, 1, 12],\n [-2, 8, -7, -7, 0, 10],\n [4, -8, -7, 8, -12, -2],\n [12, 1, 0, -12, -10, 4],\n [0, 12, 10, -2, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 30 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, 0, -7, 8, -11, -6],\n [0, -9, -6, -2, -4, -2],\n [-7, -6, -8, -10, -2, -6],\n [8, -2, -10, -10, -4, -11],\n [-11, -4, -2, -4, 8, -4],\n [-6, -2, -6, -11, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 29 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[9, -8, -4, -1, 11, 1],\n [-8, -14, 11, -2, -8, -2],\n [-4, 11, -1, 6, 6, -2],\n [-1, -2, 6, 3, 4, -1],\n [11, -8, 6, 4, 8, 10],\n [1, -2, -2, -1, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 25 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -14, 8, -15, 8, 4],\n [-14, 5, 6, 5, -8, -2],\n [8, 6, 2, 6, 10, 8],\n [-15, 5, 6, -2, -2, -9],\n [8, -8, 10, -2, 6, 0],\n [4, -2, 8, -9, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{You... | 97 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, -12, -2, -12, 10, -1],\n [-12, 9, 1, -4, 6, 4],\n [-2, 1, -2, -8, -6, 4],\n [-12, -4, -8, 2, 8, 4],\n [10, 6, -6, 8, 13, -6],\n [-1, 4, 4, 4, -6, 13]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 26 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, 15, 2, 2, -6, 11],\n [15, 0, 5, -12, -6, 4],\n [2, 5, 1, 12, 0, -2],\n [2, -12, 12, -13, -1, 4],\n [-6, -6, 0, -1, 1, -4],\n [11, 4, -2, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{... | 83 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[10, -2, -6, 5, 0, -3],\n [-2, 4, 6, 0, 3, -7],\n [-6, 6, -3, 5, -10, -2],\n [5, 0, 5, 14, 6, -2],\n [0, 3, -10, 6, 0, 2],\n [-3, -7, -2, -2, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 20 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, 2, -2, -6, -12, -2],\n [2, -7, 6, 3, -2, -2],\n [-2, 6, 15, 7, 2, -1],\n [-6, 3, 7, -3, 12, -2],\n [-12, -2, 2, 12, 12, -13],\n [-2, -2, -1, -2, -13, 12]]\n\nPresent the answer in LaTex format: \\boxed... | 33 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, 7, -12, -4, -3, 12],\n [7, 4, -2, 2, 10, -6],\n [-12, -2, 0, 1, -2, -2],\n [-4, 2, 1, -7, -8, -4],\n [-3, 10, -2, -8, 13, 8],\n [12, -6, -2, -4, 8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 28 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[2, 9, 6, 6, 6, -5],\n [9, 5, -2, -4, 0, 0],\n [6, -2, -15, -6, -2, 4],\n [6, -4, -6, 9, -2, -8],\n [6, 0, -2, -2, 7, -1],\n [-5, 0, 4, -8, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 22 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, 0, -5, -10, 12, 6],\n [0, 8, -10, 4, -6, 8],\n [-5, -10, -10, -3, 10, -7],\n [-10, 4, -3, -3, 6, -2],\n [12, -6, 10, 6, 2, 2],\n [6, 8, -7, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 28 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[2, 12, 4, -10, 11, -7],\n [0, -10, 3, -14, -15, 14],\n [0, 0, -7, -6, -8, 11],\n [0, 0, 0, 10, -13, -2],\n [0, 0, 0, 0, 8, 11],\n [0, 0, 0, 0, 0, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 51 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 4, 0, 3, 0, 2],\n [4, 4, 7, 8, -8, -6],\n [0, 7, 3, 6, 6, 1],\n [3, 8, 6, -9, 0, 2],\n [0, -8, 6, 0, 7, -14],\n [2, -6, 1, 2, -14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 23 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -2, -4, 0, 6, 2],\n [0, 4, -6, 10, -5, -3],\n [0, 0, -9, -12, 8, -9],\n [0, 0, 0, -1, -6, -14],\n [0, 0, 0, 0, 4, -1],\n [0, 0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 9 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[15, 2, 2, 10, -5, -8],\n [2, 2, 0, -2, -8, 0],\n [2, 0, -10, -12, 0, 2],\n [10, -2, -12, 13, 3, -6],\n [-5, -8, 0, 3, 7, -11],\n [-8, 0, 2, -6, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 30 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, 3, 2, -8, 10, 2],\n [3, 6, 1, 2, -12, 7],\n [2, 1, -11, 0, -4, -2],\n [-8, 2, 0, 14, 10, -6],\n [10, -12, -4, 10, -15, -1],\n [2, 7, -2, -6, -1, -7]]\n\nPresent the answer in LaTex format: \\box... | 91 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, -7, -6, 0, -2, 6],\n [-7, 10, -4, -2, 0, 0],\n [-6, -4, -10, -4, 0, -2],\n [0, -2, -4, 15, -8, 10],\n [-2, 0, 0, -8, -7, 12],\n [6, 0, -2, 10, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 24 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 6, -6, 4, -9, 5],\n [6, -9, 0, 4, -8, 12],\n [-6, 0, -3, -7, -1, -4],\n [4, 4, -7, 8, 0, 8],\n [-9, -8, -1, 0, -1, -4],\n [5, 12, -4, 8, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 77 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-14, 2, 6, -11, -4, -8],\n [2, -4, 4, 14, -6, 1],\n [6, 4, -6, -9, 0, 0],\n [-11, 14, -9, -14, -10, 0],\n [-4, -6, 0, -10, 12, -4],\n [-8, 1, 0, 0, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 33 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-13, -10, 0, -4, 6, 3],\n [-10, -1, 6, 2, 4, -3],\n [0, 6, 2, 2, -4, 2],\n [-4, 2, 2, -11, 4, 2],\n [6, 4, -4, 4, -11, 0],\n [3, -3, 2, 2, 0, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | 69 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-2, -10, -4, -8, 12, 12],\n [-10, -4, 4, -4, 11, 6],\n [-4, 4, -11, 10, 4, 6],\n [-8, -4, 10, 14, 2, -2],\n [12, 11, 4, 2, -3, -4],\n [12, 6, 6, -2, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 31 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -3, 6, -8, 2, 2],\n [-3, -9, 0, 7, 6, 0],\n [6, 0, -4, -2, -5, -4],\n [-8, 7, -2, -3, -6, 4],\n [2, 6, -5, -6, 5, 4],\n [2, 0, -4, 4, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 67 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-6, -2, 11, -5, 10, -8],\n [-2, 7, 0, -4, -8, -8],\n [11, 0, 11, 0, -3, 0],\n [-5, -4, 0, -3, 0, 6],\n [10, -8, -3, 0, -13, -14],\n [-8, -8, 0, 6, -14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 29 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[11, 10, 10, 0, -2, 8],\n [10, 10, -10, -2, 2, -4],\n [10, -10, -1, 4, 2, -8],\n [0, -2, 4, -15, -2, -10],\n [-2, 2, 2, -2, -5, 11],\n [8, -4, -8, -10, 11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 97 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-13, 1, 8, -10, -3, -2],\n [1, -7, 2, 0, 0, -10],\n [8, 2, -5, 1, 4, -2],\n [-10, 0, 1, -13, -6, -4],\n [-3, 0, 4, -6, 9, 8],\n [-2, -10, -2, -4, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 27 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[13, -8, 8, -2, -2, 0],\n [-8, -4, -10, 4, 0, 0],\n [8, -10, 5, 4, 13, -2],\n [-2, 4, 4, -6, -12, -8],\n [-2, 0, 13, -12, -15, 5],\n [0, 0, -2, -8, 5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 92 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, 10, -4, 8, 1, 4],\n [10, -4, -2, 1, 8, 10],\n [-4, -2, 3, 4, -6, 4],\n [8, 1, 4, 3, -4, -2],\n [1, 8, -6, -4, -9, -3],\n [4, 10, 4, -2, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 20 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, -6, 4, 5, 7, 8],\n [-6, 15, -6, -4, 8, 5],\n [4, -6, 15, 4, -1, 4],\n [5, -4, 4, -7, 5, 2],\n [7, 8, -1, 5, 7, -1],\n [8, 5, 4, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 80 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -5, -6, -4, 10, -4],\n [-5, -7, 9, 2, -4, -12],\n [-6, 9, -14, 2, -10, 5],\n [-4, 2, 2, -9, -4, -8],\n [10, -4, -10, -4, 2, 6],\n [-4, -12, 5, -8, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 27 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 0, 7, 6, 2, 4],\n [0, -7, 12, 6, -6, -12],\n [7, 12, -14, -11, -2, -11],\n [6, 6, -11, -3, 1, -4],\n [2, -6, -2, 1, 9, 13],\n [4, -12, -11, -4, 13, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 33 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 7, 5, 15, -12, -9],\n [0, -13, 6, 9, -8, -15],\n [0, 0, -4, -4, -9, -13],\n [0, 0, 0, 7, -2, 5],\n [0, 0, 0, 0, 2, -3],\n [0, 0, 0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 13 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[1, -12, 6, 10, -2, -5],\n [-12, -6, 6, 4, 8, 4],\n [6, 6, -5, 1, -3, -6],\n [10, 4, 1, 3, -1, -10],\n [-2, 8, -3, -1, 2, 13],\n [-5, 4, -6, -10, 13, -11]]\n\nPresent the answer in LaTex format: \\box... | 83 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, -10, -8, 1, -14, 13],\n [0, 14, -9, -6, 5, -13],\n [0, 0, -15, 2, 4, -6],\n [0, 0, 0, -13, 15, -1],\n [0, 0, 0, 0, 0, -15],\n [0, 0, 0, 0, 0, 15]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 64 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[3, 4, -7, 0, -3, 2],\n [4, -3, -6, -8, 3, -12],\n [-7, -6, 5, -2, 4, 2],\n [0, -8, -2, -10, -3, 2],\n [-3, 3, 4, -3, -2, -5],\n [2, -12, 2, 2, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 66 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-4, -7, 4, 2, -10, -10],\n [-7, -4, -6, -9, -11, 8],\n [4, -6, -13, -2, -10, -4],\n [2, -9, -2, -9, 1, -6],\n [-10, -11, -10, 1, 2, 6],\n [-10, 8, -4, -6, 6, 15]]\n\nPresent the answer in LaTex forma... | 97 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-3, -10, -2, -6, 5, 4],\n [-10, -7, 14, -10, -11, -5],\n [-2, 14, -7, -13, 8, -4],\n [-6, -10, -13, 3, -3, -12],\n [5, -11, 8, -3, -14, 6],\n [4, -5, -4, -12, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 32 | MATH |
[
{
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-6, -3, -9, -11, 4, -2],\n [-3, -14, 2, -2, -10, 6],\n [-9, 2, -11, 10, 1, -2],\n [-11, -2, 10, 15, -13, 0],\n [4, -10, 1, -13, -3, -4],\n [-2, 6, -2, 0, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your... | 95 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, -4, -2, -2, 13, 12],\n [-4, 5, -8, 4, -2, -4],\n [-2, -8, -12, -2, -4, 0],\n [-2, 4, -2, -2, -6, -2],\n [13, -2, -4, -6, 7, 4],\n [12, -4, 0, -2, 4, -12]]\n\nPresent the answer in LaTex format: \\boxe... | 24 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[11, 8, 2, 6, 6, 6],\n [8, -7, -9, 2, 1, 6],\n [2, -9, -14, 8, -7, -4],\n [6, 2, 8, -2, 4, -6],\n [6, 1, -7, 4, 8, 2],\n [6, 6, -4, -6, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 80 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 4, 2, 11, -8, -4],\n [4, 7, 1, 0, -2, -4],\n [2, 1, 7, -6, 0, -8],\n [11, 0, -6, 9, -2, 4],\n [-8, -2, 0, -2, -6, -4],\n [-4, -4, -8, 4, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 21 | MATH |
[
{
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, 0, 7, -7, -2, -2],\n [0, 2, 10, -13, -3, 10],\n [0, 0, 14, -8, 10, -7],\n [0, 0, 0, 8, 2, 14],\n [0, 0, 0, 0, 7, 3],\n [0, 0, 0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-14, 8, -4, 10, -6, 0],\n [8, 2, 4, -10, 3, -7],\n [-4, 4, 8, -6, -9, -10],\n [10, -10, -6, -11, -3, -1],\n [-6, 3, -9, -3, 4, -2],\n [0, -7, -10, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 81 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -5, 2, 0, -9, -2],\n [-5, -7, -14, 0, -2, 6],\n [2, -14, -14, 10, -4, 2],\n [0, 0, 10, 5, 2, 2],\n [-9, -2, -4, 2, 9, 2],\n [-2, 6, 2, 2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 28 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-13, -13, -1, 2, 11, -1],\n [0, -12, 4, -2, -8, -2],\n [0, 0, 0, 10, -7, 11],\n [0, 0, 0, 9, -13, 4],\n [0, 0, 0, 0, -6, 7],\n [0, 0, 0, 0, 0, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 14 | MATH |
[
{
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[14, 8, 3, 2, 3, 10],\n [8, 6, -6, 0, -6, -4],\n [3, -6, -12, -4, -3, -2],\n [2, 0, -4, 0, -5, -7],\n [3, -6, -3, -5, 15, -4],\n [10, -4, -2, -7, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 22 | MATH |
[
{
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[6, 4, 2, -7, 2, -14],\n [4, -9, 10, 4, -2, 3],\n [2, 10, -10, 10, -2, 3],\n [-7, 4, 10, -12, -8, -3],\n [2, -2, -2, -8, 6, -12],\n [-14, 3, 3, -3, -12, 8]]\n\nPresent the answer in LaTex format: \\bo... | 86 | MATH |
[
{
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 5, 4, -15, -5, 7],\n [0, -4, 10, -13, 2, 8],\n [0, 0, 8, -14, 10, -8],\n [0, 0, 0, -8, 10, 5],\n [0, 0, 0, 0, -2, -4],\n [0, 0, 0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 39 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-13, 0, 4, -10, -5, -4],\n [0, -13, 0, -10, 0, -4],\n [4, 0, -12, -10, 10, -6],\n [-10, -10, -10, 2, -4, -5],\n [-5, 0, 10, -4, -9, -4],\n [-4, -4, -6, -5, -4, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 25 | MATH |
[
{
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 2, -12, 0, 1, 2],\n [2, -4, -4, 1, -4, -10],\n [-12, -4, 6, -4, -12, -12],\n [0, 1, -4, 14, 12, -4],\n [1, -4, -12, 12, -1, -6],\n [2, -10, -12, -4, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 28 | MATH |
[
{
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, -4, 0, 3, -4, -10],\n [-4, -3, 0, -12, -7, 10],\n [0, 0, -14, 2, -5, -6],\n [3, -12, 2, -3, 7, -10],\n [-4, -7, -5, 7, -2, -8],\n [-10, 10, -6, -10, -8, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 93 | MATH |
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