messages listlengths 1 1 | ground_truth stringlengths 1 6 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[11, -1, -8, -6],\n [3, 0, 6, -2],\n [-9, 12, -12, 4],\n [-9, -7, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 12 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-6, 1, -4, -12],\n [-8, -5, 12, -6],\n [6, 11, 4, 3],\n [-4, 3, -5, -5]]\n\nPresent the answer in LaTex... | 137 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-6, -10, 0, 8],\n [10, -5, 5, -7],\n [-9, -5, -7, 4],\n [10, 0, 10, 2]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -66 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-3, 0, -4, -2],\n [0, 1, -4, -3],\n [-4, -4, 7, -2],\n [-2, -3, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 541 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[5, 6, 4, 2],\n [3, -10, 11, -3],\n [3, 12, -9, 10],\n [9, 7, -7, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -24 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (2, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-2, 5, -1, -1],\n [0, 4, 10, -10],\n [0, 0, -11, -8],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxe... | -69 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[7, -12, 12, 8],\n [-2, -6, 4, -8],\n [-6, -6, 7, -7],\n [-7, -6, -1, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 18 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-8, -3, 5, -12],\n [-10, 7, 11, -10],\n [8, -1, -4, 11],\n [-1, -10, 3, -1]]\n\nPresent the answer in LaTex ... | 233 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[4, 0, 7, 6],\n [9, 5, -10, 3],\n [10, 12, 6, 9],\n [3, 7, 1, -12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, -1, 12, 4],\n [6, -7, 10, 2],\n [-2, 7, 10, 0],\n [-8, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | -24 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[2, 11, -2, -2],\n [5, 1, -9, 4],\n [0, 10, -3, 1],\n [4, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 32 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the value at position (1, 2) rounded to the nearest integer?\n[[6, 4, -2, 1],\n [4, 7, -2, 2],\n [-2, -2, -5, -8],\n [1, 2, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-8, -10, -8, -8],\n [-10, -2, 8, -4],\n [-8, 8, 0, 0],\n [-8, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-12, 6, -5, -3],\n [1, 12, -4, 12],\n [8, 1, 4, -2],\n [-3, 8, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -23 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-2, 8, 5, 8],\n [0, -2, -6, -3],\n [0, 0, 2, 1],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -892 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, 3, 10, -2],\n [0, -12, -11, 11],\n [0, 0, -8, -7],\n [0, 0, 0, -12]]\n\nPresent the an... | -24 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-12, -6, -6, 0],\n [-6, -12, 6, 6],\n [-6, 6, -6, -2],\n [0, 6, -2, -12]]\n\nPresent the a... | 16 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, 1, 7, -3],\n [-6, -4, 8, 3],\n [3, 12, 2, -9],\n [-12, 11, 6, 12]]\n\nPresent the answer in LaTex fo... | 78 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, 1, -2, -9],\n [-7, 5, -6, 11],\n [0, -3, -11, 10],\n [-12, 12, 4, 11]]\n\nPresent the answer in LaT... | 1571 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[1, 11, -1, 3],\n [0, 7, 3, -11],\n [0, 0, 6, 5],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 134 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-6, 9, 8, 2],\n [2, 3, -8, 8],\n [7, 1, 0, -8],\n [1, -12, -1, -4]]\n\nPresent the answer in LaTex form... | 955 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[10, -7, 12, 12],\n [0, -1, -2, 7],\n [0, 0, -4, 7],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[3, -9, -9, 7],\n [7, -11, -12, 8],\n [-11, 5, 12, -7],\n [12, -4, 12, 9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -35 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-2, -7, 4, 4],\n [-7, 6, 0, 10],\n [4, 0, -9, 2],\n [4, 10, 2, -9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 39 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[8, 9, -12, -3],\n [11, 3, -8, -6],\n [12, 7, -9, -6],\n [-9, 8, -1, -11]]\n\nPresent the answer in LaTex for... | -10 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-6, 6, -8, 10],\n [0, 6, -1, -7],\n [0, 0, -12, -5],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -56 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[-8, -1, -11, -9],\n [0, -4, -7, -1],\n [0, 0, -9, -8],\n [0, 0, 0, -3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 185 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[6, 5, 7, -9],\n [3, -2, 7, -1],\n [11, -7, 9, 6],\n [7, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\b... | -199 | MATH |
[
{
"content": "Find the inverse of 1/96 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, 12, -5, 7],\n [0, -2, 8, 11],\n [0, 0, 11, 12],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 288 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-4, 7, -10, -8],\n [9, -10, 12, -3],\n [1, -6, 9, 7],\n [4, -9, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 214 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[0, 3, 11, -11],\n [-8, -12, -11, -10],\n [-12, -5, 0, -12],\n [5, 7, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 19 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[2, 2, 9, -8],\n [0, 8, -5, 0],\n [-8, 4, 2, -12],\n [-7, 2, 8, -9]]\n\nPresent the answer ... | 14 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[2, 1, 1, -8],\n [1, 2, 11, 4],\n [1, 11, 0, -2],\n [-8, 4, -2, -1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[2, -6, -8, -12],\n [-12, -5, -2, 1],\n [1, -1, 8, -9],\n [3, 4, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[10, 4, 0, 8],\n [4, 12, 4, 4],\n [0, 4, -8, 2],\n [8, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -40 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, 3, -6, -6],\n [3, 11, -6, 9],\n [-6, -6, -1, 6],\n [-6, 9, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed... | -7 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-4, 12, -6, 10],\n [0, 1, -2, -4],\n [0, 0, -3, -10],\n [0, 0, 0, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Find the value at position (4, 2) of the inverse of matrix 1/96 * A where A =\n[[-10, 4, -4, 1],\n [0, 6, -6, 11],\n [0, 0, 3, -1],\n [0, 0, 0, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the value at position (1, 1) of the inverse of matrix 1/96 * A where A =\n[[-3, 2, 7, -5],\n [0, -12, 10, -10],\n [0, 0, -12, -9],\n [0, 0, 0, 1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -32 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-4, 8, 2, -7],\n [0, 9, -12, -5],\n [0, 0, 3, 10],\n [0, 0, 0, 1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -1075 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[3, 1, 8, 3],\n [0, 8, 7, -9],\n [0, 0, 2, 6],\n [0, 0, 0, 8]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 104 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[12, 6, -3, 5],\n [0, 7, -8, 4],\n [0, 0, 8, 6],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-12, -2, 9, -7],\n [0, 9, 2, -5],\n [0, 0, 8, -12],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | -8 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-1, 4, 4, -6],\n [0, -4, -4, 1],\n [0, 0, 12, -4],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | -576 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-8, -5, 0, -2],\n [6, 11, -5, 3],\n [7, -8, 2, -12],\n [-3, -10, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -75 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (2, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[6, 12, -5, -8],\n [0, -1, 6, 10],\n [0, 0, -1, -11],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{... | -597 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[-4, 3, -6, -7],\n [3, 12, 6, 4],\n [0, 0, -2, 2],\n [-3, 3, 9, -9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -57 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-1, 4, -12, -10],\n [0, 11, 3, 5],\n [0, 0, 1, -7],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2733 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[11, 8, 8, 7],\n [0, 8, 7, 11],\n [0, 0, 5, -8],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -8 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-8, -8, 6, -2],\n [-8, 6, 0, -7],\n [6, 0, -5, -3],\n [-2, -7, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your... | -49 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[8, 5, -10, 0],\n [5, 2, -2, 0],\n [-10, -2, -11, 1],\n [0, 0, 1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -271 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, 8, -5, 6],\n [0, 8, -4, -12],\n [0, 0, -11, -10],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: ... | 110 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[8, 10, -6, 8],\n [0, -10, -8, 12],\n [0, 0, -5, 12],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 117 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-11, 11, -8, -7],\n [1, -3, 7, 7],\n [-4, -3, -5, 5],\n [-12, 10, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 158 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (2, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[5, -3, 11, 12],\n [-2, 0, 4, 6],\n [-7, 1, 2, 1],\n [-3, -2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{... | 252 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[3, -9, -8, 12],\n [0, -10, 10, 4],\n [0, 0, -12, 8],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -127 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[4, -11, 1, -9],\n [0, 6, -12, 4],\n [0, 0, -6, 5],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex form... | 460 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[7, 5, 6, 11],\n [0, 2, 6, -6],\n [0, 0, 8, 10],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 284 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-10, -4, 9, -2],\n [0, -10, -8, -6],\n [0, 0, 8, -8],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 109 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (4, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[6, 8, -3, -6],\n [-10, -11, 4, -4],\n [4, 11, -4, -8],\n [7, -1, 12, 3]]\n\nPresent the answer in LaTex format: \\bo... | 0 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[7, -9, -12, -8],\n [-4, -11, 4, 4],\n [-6, -4, 8, -9],\n [-3, 6, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -30 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-9, -3, -8, -11],\n [0, 12, 5, 12],\n [0, 0, -11, -1],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 109 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (3, 2) of the inverse. Round your answer to the nearest integer:\n[[-3, -1, 4, 6],\n [0, -10, -9, 5],\n [0, 0, 3, -8],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 0 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[6, -8, -7, 0],\n [-4, -5, 10, 1],\n [7, -5, 11, -6],\n [6, -5, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -208 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[8, 2, -8, -8],\n [2, -10, 9, -8],\n [-8, 9, -5, -4],\n [-8, -8, -4, 12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | -7 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, -1, 5, 7],\n [-8, 9, -4, -9],\n [10, -7, 11, -10],\n [-1, 2, 3, 11]]\n\nPresent the an... | 13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[-12, -11, -9, 12],\n [-3, -10, -4, -1],\n [-12, -8, -1, -10],\n [-3, -7, -12, 6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 89 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[2, 7, 4, -1],\n [0, -9, -8, 7],\n [0, 0, 11, 0],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 62 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[5, -12, 4, -12],\n [12, -11, 11, 2],\n [-1, 8, 5, 9],\n [4, -1, 7, -12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "Find the value at position (3, 3) of the inverse of matrix 1/96 * A where A =\n[[-10, 11, -1, 5],\n [2, -5, 1, 11],\n [-10, 3, -10, 4],\n [-12, 5, -3, 10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15 | MATH |
[
{
"content": "Find the value at position (4, 4) of the inverse of matrix 1/96 * A where A =\n[[1, -1, 4, 6],\n [-1, -8, 4, -2],\n [4, 4, 9, 5],\n [6, -2, 5, 12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the inverse of 1/96 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, 10, 1, 0],\n [0, 6, 4, 2],\n [0, 0, -10, 9],\n [0, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 27 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-8, 3, -1, -6],\n [0, 7, -6, 6],\n [0, 0, -12, 12],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-10, -10, 6, 3],\n [-10, -7, -3, 0],\n [6, -3, 4, 6],\n [3, 0, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[11, -9, -2, 3],\n [-9, 5, 8, 2],\n [-2, 8, -12, -2],\n [3, 2, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 327 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, -6, -8, -9],\n [-3, 1, 9, 7],\n [12, -2, -11, 7],\n [-6, 12, -6, -2]]\n\nPresent the answer in LaTex... | 261 | MATH |
[
{
"content": "Find the inverse of 1/96 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, -1, 1, 2],\n [-1, -3, 6, -6],\n [1, 6, 5, 10],\n [2, -6, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answ... | -43 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (2, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-8, 7, -11, 10],\n [4, -7, 9, 3],\n [7, 3, 7, 9],\n [0, 7, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 13 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[1, 3, 8, -8],\n [0, 7, 4, 2],\n [0, 0, -5, 8],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 79 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-7, -4, 9, -7],\n [10, -3, -1, 9],\n [-7, 0, -11, -12],\n [10, 11, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[1, 12, -6, 4],\n [-10, -12, -1, 4],\n [-5, -11, 6, 2],\n [-6, -7, -3, -2]]\n\nPresent the answer in LaT... | 423 | MATH |
[
{
"content": "Find the inverse of 1/96 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[[-7, 0, 11, 6],\n [0, 4, 6, 3],\n [11, 6, -6, 8],\n [6, 3, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 23 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (4, 1) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[3, 7, -5, 11],\n [-6, 12, 5, 10],\n [10, 10, 7, -12],\n [10, 6, 0, 7]]\n\nPresent the answer in LaTex format: \\boxe... | -4 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[11, 9, -2, -10],\n [0, 11, 7, -5],\n [0, 0, 7, -11],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex f... | 102 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[-10, -11, 4, 0],\n [0, 8, -9, -6],\n [0, 0, 3, 1],\n [0, 0, 0, -10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (2, 2) of the inverse. Round your answer to the nearest integer:\n[[11, 1, 0, -8],\n [-9, 2, 8, -1],\n [-3, 0, -7, 5],\n [5, 6, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -452 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-2, 0, 7, 12],\n [0, -3, 10, 2],\n [7, 10, -9, -2],\n [12, 2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxe... | -4 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-6, 3, -9, 2],\n [0, 7, -12, 11],\n [0, 0, -11, 4],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 210 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-12, 6, -11, -4],\n [-11, -12, -4, -8],\n [0, -1, 0, 7],\n [-3, -9, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 7 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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, -9, -2, 0],\n [-2, -5, 2, -1],\n [-6, -7, -5, 0],\n [1, 5, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{You... | 12 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[8, -2, -7, -10],\n [-2, 11, -8, 3],\n [-7, -8, -9, -6],\n [-10, 3, -6, -11]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[-11, 9, 8, 12],\n [5, 6, 0, -3],\n [-12, 1, -6, 12],\n [-9, 8, 1, -2]]\n\nPresent the answer in LaTex format... | -4 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the value at position (1, 1) rounded to the nearest integer?\n[[-7, 0, -9, 2],\n [0, 5, -7, 2],\n [-9, -7, -10, -4],\n [2, 2, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25 | MATH |
[
{
"content": "Find the inverse of 1/96 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[[12, 9, -8, -5],\n [0, 10, 8, -6],\n [0, 0, 4, -6],\n [0, 0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 30 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[6, 3, -8, 12],\n [0, 1, -9, 8],\n [0, 0, 9, -12],\n [0, 0, 0, 8]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 186 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[12, 4, -8, 7],\n [0, 3, 5, -2],\n [0, 0, -4, 6],\n [0, 0, 0, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 44 | MATH |
[
{
"content": "For the inverse of 1/96 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-10, -11, -2, -6],\n [9, -6, 4, -5],\n [3, -4, -7, 4],\n [-12, 9, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 151 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[8, 2, 12, -1],\n [11, 3, 6, -2],\n [-1, 5, 6, 4],\n [-6, 5, 5, 1]]\n\nPresent the answer in LaTex format: \\... | -6 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/96 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[[6, 7, -11, -6],\n [0, 4, -6, 5],\n [0, 0, 1, 2],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format... | 408 | MATH |
[
{
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (1, 4) of the inverse. Round your answer to the nearest integer:\n[[-7, 5, -4, -5],\n [0, 11, 8, -9],\n [0, 0, 2, 2],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.