data.jsonl

{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-7, 5, -6],\n [5, 1, 2],\n [-6, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, -2, -1],\n [-2, 9, 0],\n [-1, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[3, -5, -3],\n [0, -8, -8],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-4, 5, -2],\n [0, 4, 3],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 0, 0],\n [0, -2, 5],\n [0, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 2, 3],\n [2, -4, 1],\n [3, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[8, -8, -2],\n [-8, 0, 0],\n [-2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -1, 7],\n [-1, -4, 0],\n [7, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, -2, 5],\n [-2, -3, -7],\n [5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 9, -4],\n [9, 7, 5],\n [-4, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-5, 8, -4],\n [0, -2, 7],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 0, -9],\n [0, -6, -10],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -2, -4],\n [-2, 10, 4],\n [-4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, 2, 4],\n [2, -3, 0],\n [4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, 4, -3],\n [4, 6, 0],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, -2, -8],\n [-2, -2, 9],\n [-8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, -1, -2],\n [-1, -10, 5],\n [-2, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 2, -8],\n [2, -10, 0],\n [-8, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, -6, 0],\n [-6, 10, -1],\n [0, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, 3, 7],\n [0, -4, 4],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-10, 5, 9],\n [0, -5, 10],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, -5, -2],\n [-5, -10, 6],\n [-2, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, 1, -8],\n [1, -7, 4],\n [-8, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, -2, -2],\n [-2, 3, -4],\n [-2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[5, -1, -1],\n [-1, 6, -1],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, -5, 10],\n [-5, -3, -3],\n [10, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[7, 2, -2],\n [2, 3, -2],\n [-2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, 8, 0],\n [8, -10, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -9, -4],\n [0, 6, 2],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[9, 3, 9],\n [0, 6, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -4, -8],\n [0, 10, 3],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-2, -2, 6],\n [-2, -1, -2],\n [6, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 10, -6],\n [0, 6, 3],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -9, 7],\n [0, -4, 10],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 9, -8],\n [9, 8, -4],\n [-8, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 2, 2],\n [2, -3, 5],\n [2, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 7, -8],\n [0, -1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, 2, -4],\n [2, -4, -5],\n [-4, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[9, 3, 3],\n [0, 7, 3],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[0, 8, -5],\n [0, -10, -5],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[3, -9, -12, 12],\n [0, 9, 0, 1],\n [0, 0, 12, -5],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 0, -4, 4],\n [0, 4, 2, -4],\n [-4, 2, 1, 4],\n [4, -4, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 4, -9, 9],\n [0, -2, -4, -9],\n [0, 0, 10, 3],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-6, -12, -12, 5],\n [0, -9, 8, -4],\n [0, 0, -7, 12],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[6, 3, -9, 5],\n [0, -1, -1, -1],\n [0, 0, -2, 5],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[11, 4, 0, -4],\n [4, 2, -4, -9],\n [0, -4, -9, -9],\n [-4, -9, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-3, 4, 6, 0],\n [4, 5, 3, -4],\n [6, 3, 10, -4],\n [0, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[10, -8, -2, -10],\n [-8, -4, 5, -2],\n [-2, 5, 3, -9],\n [-10, -2, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-11, 1, -2, 0],\n [1, 8, 8, 0],\n [-2, 8, -12, 5],\n [0, 0, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-7, 0, 8, -3],\n [0, -7, -4, 6],\n [8, -4, 5, 6],\n [-3, 6, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-1, -11, 1, -4],\n [0, 5, 1, 11],\n [0, 0, -11, 1],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[8, 5, -2, 4],\n [5, -12, 2, -4],\n [-2, 2, 2, -6],\n [4, -4, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-2, -4, 4, 7],\n [-4, 10, 1, 0],\n [4, 1, -12, -8],\n [7, 0, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, -5, 8, -4],\n [-5, 12, -4, -3],\n [8, -4, -6, -8],\n [-4, -3, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-11, 6, -3, -7],\n [0, -8, -5, -9],\n [0, 0, 4, -1],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, 3, 12, 2],\n [3, -5, 2, 2],\n [12, 2, -11, 1],\n [2, 2, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, 9, -10, -12],\n [0, -12, 11, 9],\n [0, 0, -12, 2],\n [0, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 3, -2, 1],\n [3, 5, -4, 2],\n [-2, -4, 5, -2],\n [1, 2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, -4, -4, -11],\n [-4, -4, 0, -4],\n [-4, 0, 5, -10],\n [-11, -4, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[4, -2, -1, 4],\n [-2, -6, -6, -4],\n [-1, -6, 1, -10],\n [4, -4, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -1, 4, -2],\n [-1, -8, 4, -8],\n [4, 4, -4, 6],\n [-2, -8, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[7, 2, -4, -2],\n [2, 11, 1, 1],\n [-4, 1, -6, -6],\n [-2, 1, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-2, -8, 0, -3],\n [-8, 9, 1, -2],\n [0, 1, -11, 6],\n [-3, -2, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-1, -1, 6, 0],\n [-1, 10, -9, -3],\n [6, -9, 5, 4],\n [0, -3, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, -3, -3, -1],\n [0, 7, -11, 11],\n [0, 0, 6, 6],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[12, -8, -4, 0],\n [-8, -7, -2, -7],\n [-4, -2, -7, 1],\n [0, -7, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 0, -1, 4],\n [0, -2, -4, 4],\n [-1, -4, 12, 4],\n [4, 4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[4, -3, 5, 4],\n [-3, -5, -4, 2],\n [5, -4, 7, -6],\n [4, 2, -6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, 10, -4, 1],\n [0, -11, 1, -6],\n [0, 0, -8, 11],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-7, 12, 9, -12],\n [0, 1, -4, 6],\n [0, 0, -8, 2],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-4, 12, -6, 0],\n [0, 2, -8, -4],\n [0, 0, 3, 4],\n [0, 0, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-8, -8, 0, -2],\n [-8, -2, -10, 0],\n [0, -10, -5, 6],\n [-2, 0, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, 8, 12, 0],\n [0, -1, -9, -9],\n [0, 0, 8, -12],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 5, -2, -2],\n [5, -4, 10, 0],\n [-2, 10, 1, 4],\n [-2, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[11, -4, -2, -6],\n [-4, -8, 0, 0],\n [-2, 0, 9, -4],\n [-6, 0, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-11, 5, 1, 1],\n [5, -3, 5, -4],\n [1, 5, 8, -4],\n [1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, 2, 10, 8],\n [2, -4, 0, -4],\n [10, 0, 0, 0],\n [8, -4, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -4, 10, 10],\n [-4, -9, 2, -8],\n [10, 2, 12, -2],\n [10, -8, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, 10, -3, 2],\n [10, -9, -4, 3],\n [-3, -4, 5, 6],\n [2, 3, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 10, 3, 7],\n [0, 1, 4, 9],\n [0, 0, 8, 9],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 2, -1, 2],\n [2, -11, 9, -8],\n [-1, 9, -12, -4],\n [2, -8, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[4, 6, -4, 3],\n [6, -2, 4, 2],\n [-4, 4, 8, 6],\n [3, 2, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 0, 2, 6],\n [0, -9, 1, 0],\n [2, 1, -3, -8],\n [6, 0, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[8, -8, 12, 0],\n [-8, -6, -1, 8],\n [12, -1, -7, -10],\n [0, 8, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 2, -4, 3],\n [2, -11, 6, 1],\n [-4, 6, 4, 2],\n [3, 1, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[9, -4, 0, 1],\n [-4, 2, -6, -12],\n [0, -6, 10, 2],\n [1, -12, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, -3, 9, 10],\n [0, 8, 10, 8],\n [0, 0, 11, -9],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 10, -11, 10],\n [0, 0, -10, -12],\n [0, 0, 1, -8],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[1, -11, -6, -3],\n [-11, -10, -2, -1],\n [-6, -2, -8, 6],\n [-3, -1, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, -6, -2, 2],\n [-6, 3, 4, -9],\n [-2, 4, 7, 4],\n [2, -9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[6, -2, 1, 4],\n [-2, 1, -1, 0],\n [1, -1, -4, -2],\n [4, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 8, 2, -3],\n [8, 6, 8, 10],\n [2, 8, -11, -3],\n [-3, 10, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, -4, 9, -6],\n [0, -4, 0, -4],\n [0, 0, 3, -8],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[2, -9, 11, 12],\n [0, 5, 10, -9],\n [0, 0, -2, -8],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-3, -7, -6, -12],\n [0, -10, 9, 11],\n [0, 0, 9, 2],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-8, 6, -5, 0],\n [0, -6, 4, 12],\n [0, 0, 5, 12],\n [0, 0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 0, -5, 0],\n [0, 8, -2, 1],\n [-5, -2, -6, 2],\n [0, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 4, 11, 2],\n [0, -2, 11, 5],\n [0, 0, -1, -6],\n [0, 0, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, 2, -2, -7],\n [2, -9, 6, 2],\n [-2, 6, -6, 6],\n [-7, 2, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[12, -6, -6, 0],\n [-6, 8, -2, -2],\n [-6, -2, -8, 6],\n [0, -2, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}