id stringlengths 36 36 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringlengths 1 6 | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_inverse_train_0000 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[4, -4, -10],\n [0, 2, 6],\n [0, 0, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 36 | math |
arithmetic_matrix_inverse_train_0001 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-2, 2, 2],\n [0, -1, 1],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -60 | math |
arithmetic_matrix_inverse_train_0002 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/60 * A where A =\n[[-7, 4, -10],\n [4, -6, 1],\n [-2, -1, 0]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -23 | math |
arithmetic_matrix_inverse_train_0003 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-4, 9, 9],\n [0, 8, -8],\n [0, 0, -9]]\n\nPresent the answer in LaTex ... | -30 | math |
arithmetic_matrix_inverse_train_0004 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[2, 5, 0],\n [0, 10, 6],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_inverse_train_0005 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value at position (2, 3) of the inverse. Round your answer to the nearest integer:\n[[9, 8, 10],\n [8, -4, 0],\n [-3, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -240 | math |
arithmetic_matrix_inverse_train_0006 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[3, 4, 6],\n [4, 1, -6],\n [6, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 37 | math |
arithmetic_matrix_inverse_train_0007 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (3, 1) of the inverse of matrix 1/60 * A where A =\n[[-1, 4, -4],\n [4, -5, 2],\n [-4, 2, 6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_inverse_train_0008 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-10, 9, -2],\n [0, 6, -10],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{... | 11 | math |
arithmetic_matrix_inverse_train_0009 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[5, 7, 4],\n [0, 4, -6],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 174 | math |
arithmetic_matrix_inverse_train_0010 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/60 * A where A =\n[[-10, -10, -2],\n [-10, -7, 0],\n [-2, 0, 3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 33 | math |
arithmetic_matrix_inverse_train_0011 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[0, -6, -6],\n [-6, 8, 0],\n [-6, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -18 | math |
arithmetic_matrix_inverse_train_0012 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of absolute values of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[2, 7, 4],\n [0, 9, 6],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{... | 80 | math |
arithmetic_matrix_inverse_train_0013 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[8, -10, 9],\n [0, 10, 4],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_inverse_train_0014 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[5, 8, -1],\n [0, -8, 3],\n [0, 0, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -4 | math |
arithmetic_matrix_inverse_train_0015 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of absolute values of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-10, -2, 6],\n [0, -9, -5],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\... | 59 | math |
arithmetic_matrix_inverse_train_0016 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[10, -6, 8],\n [-6, -7, -8],\n [8, -8, 6]]\n\nPresent the answer in LaT... | 106 | math |
arithmetic_matrix_inverse_train_0017 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/60 * A where A =\n[[1, 2, -9],\n [2, 7, -3],\n [-9, -3, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -4 | math |
arithmetic_matrix_inverse_train_0018 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[5, -1, 0],\n [0, -5, 7],\n [0, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -25 | math |
arithmetic_matrix_inverse_train_0019 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-5, 3, -7],\n [-5, -3, 10],\n [5, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed... | 8 | math |
arithmetic_matrix_inverse_train_0020 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-5, -2, -6],\n [0, -5, -3],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -23 | math |
arithmetic_matrix_inverse_train_0021 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-8, 1, -8],\n [0, -6, -10],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 52 | math |
arithmetic_matrix_inverse_train_0022 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[3, 4, -2],\n [4, -5, -2],\n [-2, -2, -9]]\n\nPresent the answer in LaT... | 8 | math |
arithmetic_matrix_inverse_train_0023 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of absolute values of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[5, -10, 9],\n [0, 3, 4],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxe... | 276 | math |
arithmetic_matrix_inverse_train_0024 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[0, 2, 4],\n [2, -8, 7],\n [4, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -20 | math |
arithmetic_matrix_inverse_train_0025 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/60 * A where A =\n[[8, -9, 2],\n [0, -1, 2],\n [-5, 6, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 420 | math |
arithmetic_matrix_inverse_train_0026 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-9, 7, -10],\n [4, -3, -4],\n [8, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 42 | math |
arithmetic_matrix_inverse_train_0027 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/60 * A where A =\n[[-7, 0, -5],\n [0, -7, 0],\n [-5, 0, 8]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -9 | math |
arithmetic_matrix_inverse_train_0028 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[9, -7, 6],\n [-7, 10, 2],\n [6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27 | math |
arithmetic_matrix_inverse_train_0029 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[10, -1, 4],\n [-1, -8, 6],\n [4, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 17 | math |
arithmetic_matrix_inverse_train_0030 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-2, -9, 9],\n [5, 0, 3],\n [8, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_inverse_train_0031 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-1, 0, -5],\n [0, -9, -3],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 109 | math |
arithmetic_matrix_inverse_train_0032 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-10, -2, 7],\n [-1, 7, -4],\n [-5, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_inverse_train_0033 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (2, 1) of the inverse of matrix 1/60 * A where A =\n[[2, -6, -2],\n [0, 8, 6],\n [0, 0, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_inverse_train_0034 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[2, -6, 1],\n [0, 4, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 120 | math |
arithmetic_matrix_inverse_train_0035 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[9, -2, 8],\n [-1, -9, -2],\n [8, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed... | -16 | math |
arithmetic_matrix_inverse_train_0036 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-10, -8, 9],\n [6, -7, -6],\n [6, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -68 | math |
arithmetic_matrix_inverse_train_0037 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value at position (3, 2) of the inverse. Round your answer to the nearest integer:\n[[-8, 6, 1],\n [0, 3, -8],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_inverse_train_0038 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[4, 8, 4],\n [8, -10, -2],\n [4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -45 | math |
arithmetic_matrix_inverse_train_0039 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-1, 4, 2],\n [4, -6, 1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_inverse_train_0040 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[7, -6, 8],\n [-8, 2, 10],\n [-10, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_inverse_train_0041 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[7, -2, -1],\n [-2, -4, 6],\n [-1, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -467 | math |
arithmetic_matrix_inverse_train_0042 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[3, 6, 9],\n [0, -2, 10],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -111 | math |
arithmetic_matrix_inverse_train_0043 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/60 * A where A =\n[[-3, 7, 1],\n [7, 9, 0],\n [1, 0, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -10 | math |
arithmetic_matrix_inverse_train_0044 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[-10, 8, 6],\n [-5, 6, -8],\n [9, 2, 0]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_inverse_train_0045 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/60 * A where A =\n[[0, 6, 4],\n [6, 8, 2],\n [4, 2, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -16 | math |
arithmetic_matrix_inverse_train_0046 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value at position (3, 1) of the inverse. Round your answer to the nearest integer:\n[[4, 7, 3],\n [10, 7, -4],\n [-7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_inverse_train_0047 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-3, 2, 0],\n [2, 8, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -19 | math |
arithmetic_matrix_inverse_train_0048 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-9, 4, 1],\n [0, 8, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 60 | math |
arithmetic_matrix_inverse_train_0049 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value at position (2, 2) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-3, 4, 0],\n [4, 8, 2],\n [0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 5 | math |
arithmetic_matrix_inverse_train_0050 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[0, 0, 2],\n [0, 5, -6],\n [2, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 192 | math |
arithmetic_matrix_inverse_train_0051 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-1, -10, 7],\n [0, -4, 5],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 283 | math |
arithmetic_matrix_inverse_train_0052 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/60 * A where A =\n[[10, 5, 0],\n [0, -6, 1],\n [0, 0, -1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 96 | math |
arithmetic_matrix_inverse_train_0053 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[4, 6, 4],\n [6, 4, -4],\n [4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 14 | math |
arithmetic_matrix_inverse_train_0054 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-8, -5, 9],\n [0, 7, 8],\n [0, 0, 8]]\n\nPresent the answer in LaTex f... | 14 | math |
arithmetic_matrix_inverse_train_0055 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[1, 2, 7],\n [2, -4, 6],\n [7, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 53 | math |
arithmetic_matrix_inverse_train_0056 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-1, 2, 8],\n [2, -3, -2],\n [8, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -51 | math |
arithmetic_matrix_inverse_train_0057 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value at position (3, 2) rounded to the nearest integer?\n[[-10, 2, 0],\n [2, 7, 5],\n [0, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_inverse_train_0058 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[3, 6, -2],\n [6, -10, 4],\n [-2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | -42 | math |
arithmetic_matrix_inverse_train_0059 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-9, 4, 2],\n [4, -7, 7],\n [2, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_inverse_train_0060 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-6, 1, 7],\n [6, 1, -5],\n [8, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 165 | math |
arithmetic_matrix_inverse_train_0061 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/60 * A where A =\n[[7, 1, 6],\n [0, -8, 8],\n [0, 0, -10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_inverse_train_0062 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[7, -7, 6],\n [0, 7, -8],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -120 | math |
arithmetic_matrix_inverse_train_0063 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[-9, -3, -4],\n [0, -4, -6],\n [0, 0, 10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -16 | math |
arithmetic_matrix_inverse_train_0064 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-6, 0, 1],\n [0, -1, -4],\n [1, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -48 | math |
arithmetic_matrix_inverse_train_0065 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[3, 10, -2],\n [0, -2, -4],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 5 | math |
arithmetic_matrix_inverse_train_0066 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of absolute values of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[7, 8, 4],\n [1, -2, -10],\n [4, -2, 5]]\n\nPresent the answer in LaTex format: \\bo... | 40 | math |
arithmetic_matrix_inverse_train_0067 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[10, -3, -9],\n [0, 8, -6],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | -11 | math |
arithmetic_matrix_inverse_train_0068 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/60 * A where A =\n[[-8, -4, -3],\n [0, 2, 4],\n [0, 0, 7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_inverse_train_0069 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/60 * A where A =\n[[10, -2, 4],\n [-2, 2, 2],\n [4, 2, -5]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_inverse_train_0070 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-1, -8, 6],\n [8, 10, -10],\n [5, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_inverse_train_0071 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[9, -2, -9],\n [0, 3, 10],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_inverse_train_0072 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value at position (3, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[1, -5, -6],\n [0, 7, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 20 | math |
arithmetic_matrix_inverse_train_0073 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value at position (1, 1) rounded to the nearest integer?\n[[-2, -5, -7],\n [-6, -3, -9],\n [-9, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_inverse_train_0074 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-10, 0, 4],\n [0, -6, -2],\n [4, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | -9 | math |
arithmetic_matrix_inverse_train_0075 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value at position (2, 3) rounded to the nearest integer?\n[[-8, 3, -7],\n [-1, -1, 5],\n [-1, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -18 | math |
arithmetic_matrix_inverse_train_0076 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-6, 1, -6],\n [1, 6, 0],\n [-6, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 3 | math |
arithmetic_matrix_inverse_train_0077 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-5, -2, -4],\n [-2, 0, 2],\n [-4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -28 | math |
arithmetic_matrix_inverse_train_0078 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[3, -3, -1],\n [0, 5, -8],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 71 | math |
arithmetic_matrix_inverse_train_0079 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-2, -3, -2],\n [0, -2, -8],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | -150 | math |
arithmetic_matrix_inverse_train_0080 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/60 * A where A =\n[[-10, 0, -8],\n [0, 6, 5],\n [-8, 5, -10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -14 | math |
arithmetic_matrix_inverse_train_0081 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (2, 1) of the inverse of matrix 1/60 * A where A =\n[[-7, -6, 1],\n [-6, -7, 2],\n [1, 2, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_inverse_train_0082 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/60 * A where A =\n[[-3, 4, -7],\n [-6, -7, 8],\n [-7, 6, 9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -17 | math |
arithmetic_matrix_inverse_train_0083 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value at position (2, 1) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[4, 2, -4],\n [0, 6, -5],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 0 | math |
arithmetic_matrix_inverse_train_0084 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-5, -7, 8],\n [-9, -6, -9],\n [3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 68 | math |
arithmetic_matrix_inverse_train_0085 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the value at position (2, 2) of the inverse. Round your answer to the nearest integer:\n[[10, -10, 7],\n [0, -4, -6],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -15 | math |
arithmetic_matrix_inverse_train_0086 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value at position (3, 1) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-1, -6, -9],\n [0, -6, -2],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 0 | math |
arithmetic_matrix_inverse_train_0087 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (1, 3) of the inverse of matrix 1/60 * A where A =\n[[-7, -3, -4],\n [0, -7, -7],\n [2, 1, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_inverse_train_0088 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-4, -5, -6],\n [0, -3, 7],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3 | math |
arithmetic_matrix_inverse_train_0089 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-2, -6, 7],\n [2, -3, 7],\n [2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 42 | math |
arithmetic_matrix_inverse_train_0090 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (2, 2) of the inverse of matrix 1/60 * A where A =\n[[-10, 2, -2],\n [-9, -7, 7],\n [-9, -3, 4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -40 | math |
arithmetic_matrix_inverse_train_0091 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[5, -10, 9],\n [0, -1, 6],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -65 | math |
arithmetic_matrix_inverse_train_0092 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-9, -7, 4],\n [-3, -2, 9],\n [4, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -1 | math |
arithmetic_matrix_inverse_train_0093 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (2, 2) of the inverse of matrix 1/60 * A where A =\n[[10, -1, -6],\n [-1, 1, -5],\n [-6, -5, -9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_inverse_train_0094 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the value at position (2, 1) rounded to the nearest integer?\n[[-5, 2, -6],\n [2, 4, -1],\n [-6, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -9 | math |
arithmetic_matrix_inverse_train_0095 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[2, 2, -10],\n [-8, 10, -5],\n [-10, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 246 | math |
arithmetic_matrix_inverse_train_0096 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/60 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-6, 8, 0],\n [8, -8, 2],\n [0, 2, 10]]\n\nPresent the answer in LaTex ... | 37 | math |
arithmetic_matrix_inverse_train_0097 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/60 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[5, -1, 5],\n [0, 7, -5],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 33 | math |
arithmetic_matrix_inverse_train_0098 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/60 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[0, -4, 10],\n [9, 9, 0],\n [-2, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 53 | math |
arithmetic_matrix_inverse_train_0099 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/60 * A where A =\n[[-6, -3, -4],\n [0, -5, 8],\n [0, 0, 3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
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