[User]
Calculate the inverse matrix of 1/180 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:
[[6, -9, 8, -13, -4, 3],
 [0, -12, -9, 12, 8, 1],
 [0, 0, 1, -9, 10, -11],
 [0, 0, 0, -10, -2, 5],
 [0, 0, 0, 0, -7, 5],
 [0, 0, 0, 0, 0, 4]]

Present the answer in LaTex format: \boxed{Your answer}

dataset: MATH


[User]
Find the inverse of 1/180 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:
[[14, -4, 0, -4, 4, 9],
 [-1, -4, 1, -3, -3, 14],
 [-3, 15, 1, -14, 6, -10],
 [1, -4, 10, 6, -4, -8],
 [-12, 6, -7, 1, 3, 1],
 [-3, -12, 9, -10, -9, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value at position (5, 6) of the inverse of matrix 1/180 * A where A =
[[0, -11, 2, 10, 3, -1],
 [-7, -12, 2, -1, -2, 7],
 [13, -10, 1, -13, -14, 15],
 [-9, -13, -9, 8, 10, -4],
 [-15, 0, 13, 1, 10, 6],
 [10, -3, 6, 14, -7, 15]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the value at position (2, 5) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[-9, 8, -3, -4, 6, -9],
 [8, -12, -4, 10, 7, -3],
 [-3, -4, 8, -8, 0, -2],
 [-4, 10, -8, 0, 2, 0],
 [6, 7, 0, 2, -14, -2],
 [-9, -3, -2, 0, -2, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the value at position (1, 2) rounded to the nearest integer?
[[7, -3, 12, 7, 8, -8],
 [0, -7, -12, 5, -15, 5],
 [0, 0, -11, 7, 2, -14],
 [0, 0, 0, -11, 1, 12],
 [0, 0, 0, 0, -13, -12],
 [0, 0, 0, 0, 0, -14]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =
[[-12, 11, 4, 15, -10, -8],
 [0, 10, -8, 2, -3, -3],
 [0, 0, -12, -8, -8, -9],
 [0, 0, 0, -2, 15, -9],
 [0, 0, 0, 0, 5, 11],
 [0, 0, 0, 0, 0, -7]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[-1, -13, 1, -11, 4, -4],
 [0, 2, 12, 4, -5, -11],
 [0, 0, 2, -15, 3, 3],
 [0, 0, 0, -10, 8, 12],
 [0, 0, 0, 0, 3, 2],
 [0, 0, 0, 0, 0, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value at position (1, 4) of the inverse of matrix 1/180 * A where A =
[[12, 3, -10, 4, 6, 4],
 [3, 9, -4, 10, 8, 4],
 [-10, -4, -2, -2, 1, -2],
 [4, 10, -2, 2, 5, -2],
 [6, 8, 1, 5, -15, -6],
 [4, 4, -2, -2, -6, 0]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =
[[13, 1, 14, 9, 7, 4],
 [-1, -12, -11, -1, 13, -12],
 [-13, -11, -15, -1, -6, 15],
 [0, -12, -14, 4, 4, -13],
 [-5, -8, -14, -3, -2, -3],
 [2, 5, -3, -1, 10, 9]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the inverse of 1/180 times the matrix and calculate the value at position (6, 4) of the inverse. Round your answer to the nearest integer:
[[0, 0, 0, 5, 5, -11],
 [0, 6, 12, -10, -2, -4],
 [0, 12, 10, 0, -3, 3],
 [5, -10, 0, 14, -2, 8],
 [5, -2, -3, -2, 7, -7],
 [-11, -4, 3, 8, -7, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the value at position (6, 1) rounded to the nearest integer?
[[-11, 0, 11, -3, 3, 12],
 [0, -12, -11, -2, -4, 7],
 [0, 0, 10, -3, -7, 5],
 [0, 0, 0, -13, -10, -10],
 [0, 0, 0, 0, 9, -15],
 [0, 0, 0, 0, 0, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the value at position (2, 4) rounded to the nearest integer?
[[-2, 1, 13, -3, -7, 14],
 [6, -13, 15, 8, -15, -7],
 [4, 13, 10, -13, -4, -4],
 [-3, -2, 0, -5, -9, 13],
 [-11, 13, 10, 2, -8, 6],
 [6, 11, 3, 10, 9, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?
[[15, -11, 12, 1, 3, 0],
 [-11, 14, -4, -6, -10, 8],
 [12, -4, -8, 11, 6, -5],
 [1, -6, 11, 7, 0, -6],
 [3, -10, 6, 0, 11, 4],
 [0, 8, -5, -6, 4, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:
[[2, -7, -10, 2, -2, 4],
 [-7, 4, -8, 14, 0, 8],
 [-10, -8, -13, 2, 0, 4],
 [2, 14, 2, -2, 4, -8],
 [-2, 0, 0, 4, -1, -4],
 [4, 8, 4, -8, -4, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =
[[14, -10, 9, 6, 1, -10],
 [6, -11, -13, 15, -7, 14],
 [-2, -14, 3, -15, -6, 1],
 [-3, 4, -8, -10, 5, -3],
 [2, -4, -12, 8, 7, 13],
 [14, -8, -5, -5, -9, -3]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?
[[-14, -4, 6, -1, -13, -13],
 [0, -5, 4, 0, 10, 0],
 [12, -2, -4, -15, 15, 11],
 [2, -12, 6, 1, -7, 11],
 [-3, -3, 3, -3, 14, -9],
 [-13, 2, -6, -11, -13, 13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the value at position (3, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[11, -14, -10, -4, -8, -14],
 [0, 1, 0, -7, -10, 3],
 [0, 0, -5, -12, -5, -13],
 [0, 0, 0, -1, -9, -9],
 [0, 0, 0, 0, 2, 5],
 [0, 0, 0, 0, 0, -1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[15, -2, -8, -2, 3, 4],
 [-2, 8, 2, 6, -4, 8],
 [-8, 2, -3, 0, 6, -5],
 [-2, 6, 0, -2, 3, 6],
 [3, -4, 6, 3, -11, 5],
 [4, 8, -5, 6, 5, -2]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the inverse of 1/180 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:
[[4, -10, 9, 15, -7, -9],
 [-8, 2, 14, -1, -11, -2],
 [-10, -3, -6, 8, 15, -10],
 [-12, -7, -9, -8, 4, 10],
 [7, -15, 6, -10, -1, 12],
 [-4, 9, -1, -15, -10, 7]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the inverse of 1/180 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:
[[-9, 2, -3, -12, -2, -5],
 [0, 2, -8, -6, -2, -4],
 [0, 0, 10, 5, 14, -12],
 [0, 0, 0, -2, -13, 9],
 [0, 0, 0, 0, -14, 3],
 [0, 0, 0, 0, 0, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?
[[8, 10, 4, -15, 0, -1],
 [0, 4, 10, -15, -14, -8],
 [0, 0, -8, -8, 4, -13],
 [0, 0, 0, 9, 12, 12],
 [0, 0, 0, 0, 6, -15],
 [0, 0, 0, 0, 0, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the value at position (2, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[-12, -7, 2, 6, 7, 7],
 [-13, 2, -10, 1, -11, -6],
 [2, 5, -15, 15, -8, -8],
 [0, 6, -6, -12, 0, 12],
 [13, -10, 7, -2, -7, -6],
 [-5, 14, 9, 0, 4, -9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[2, -2, 6, 8, 9, 4],
 [-2, 11, 1, -6, -6, -8],
 [6, 1, -10, -6, -5, 7],
 [8, -6, -6, -2, -4, -10],
 [9, -6, -5, -4, 10, 0],
 [4, -8, 7, -10, 0, -8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the value at position (4, 6) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[12, 9, 14, 15, 13, -15],
 [0, -10, 6, 2, -7, 14],
 [0, 0, -7, -15, 0, 12],
 [0, 0, 0, 3, 4, 4],
 [0, 0, 0, 0, 12, 14],
 [0, 0, 0, 0, 0, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?
[[0, -2, -8, -1, 6, 0],
 [-2, -4, 0, -2, 8, 2],
 [-8, 0, 2, -4, -4, -3],
 [-1, -2, -4, 15, -4, 6],
 [6, 8, -4, -4, -13, -8],
 [0, 2, -3, 6, -8, -4]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of all entries of the inverse of matrix 1/180 * A where A =
[[-7, -13, 4, 8, 1, 0],
 [-3, 10, -3, 5, -3, -7],
 [-7, 1, 15, 11, 3, 9],
 [9, -7, 12, -7, 15, 14],
 [7, 8, -9, -11, -2, -4],
 [10, 2, -8, -12, -5, 12]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[9, 0, 12, -3, 11, 1],
 [-3, 2, -6, -4, 14, -9],
 [1, 4, -12, -4, 9, -15],
 [-2, 7, 5, 8, 12, 14],
 [-14, -12, 12, -3, 15, 15],
 [3, -11, -2, -13, 13, 10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =
[[-8, 0, 12, 2, -8, -4],
 [0, 5, 10, -10, 4, 0],
 [12, 10, 6, -11, 3, 10],
 [2, -10, -11, -14, 2, 6],
 [-8, 4, 3, 2, 3, 0],
 [-4, 0, 10, 6, 0, -2]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =
[[10, 4, 4, -10, 2, 6],
 [4, 7, -6, -5, 9, 1],
 [4, -6, -9, 3, 1, -1],
 [-10, -5, 3, -10, 14, 0],
 [2, 9, 1, 14, -8, 3],
 [6, 1, -1, 0, 3, 1]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 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:
[[0, -1, -6, 4, -4, -8],
 [-1, 11, 4, 12, 0, 6],
 [-6, 4, 1, 0, -10, 7],
 [4, 12, 0, -15, 2, 0],
 [-4, 0, -10, 2, -12, -3],
 [-8, 6, 7, 0, -3, 9]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =
[[-6, 4, 2, 11, 10, -3],
 [4, 11, -2, 7, 0, -4],
 [2, -2, -9, 14, -10, 1],
 [11, 7, 14, 15, 2, 0],
 [10, 0, -10, 2, 3, -8],
 [-3, -4, 1, 0, -8, 4]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 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:
[[7, -13, -9, 2, 12, -1],
 [-6, 6, 14, -14, -5, -3],
 [14, -10, 2, -10, -14, -2],
 [4, -8, 14, -12, 7, -14],
 [-11, -5, 2, 0, -7, -14],
 [4, 10, -14, 12, 5, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value at position (3, 4) of the inverse of matrix 1/180 * A where A =
[[7, 2, 13, -8, -2, -3],
 [-8, 2, 5, -8, -2, -4],
 [-12, 8, 7, 6, 5, -6],
 [-7, -14, 10, 12, -12, 4],
 [-11, -12, 6, 8, 11, 12],
 [-10, 0, 10, 1, 15, -8]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[-15, -2, -14, -3, -1, -11],
 [-2, -11, -8, 4, -5, -2],
 [-14, -8, 1, -9, 6, -2],
 [-3, 4, -9, 5, -4, 1],
 [-1, -5, 6, -4, -9, 10],
 [-11, -2, -2, 1, 10, -5]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 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:
[[-14, 13, 5, -3, 9, -7],
 [-6, 13, -3, -1, -13, 1],
 [11, -13, 8, -3, -6, 5],
 [0, -10, 12, -5, -6, 5],
 [14, -7, 7, 4, 8, -3],
 [6, -3, 2, 14, -14, 15]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 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:
[[-9, 1, 2, -15, -10, 8],
 [1, -10, -4, 12, 2, 0],
 [2, -4, 11, -4, -8, 0],
 [-15, 12, -4, -8, 2, 1],
 [-10, 2, -8, 2, -4, -4],
 [8, 0, 0, 1, -4, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the value at position (4, 6) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[13, -2, 8, -8, -9, 0],
 [-2, 13, 2, -4, 10, 0],
 [8, 2, -10, 4, 6, 6],
 [-8, -4, 4, 0, -7, -10],
 [-9, 10, 6, -7, -11, 9],
 [0, 0, 6, -10, 9, 0]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[-5, 4, -2, 4, 3, 0],
 [4, -3, -2, -6, -10, 2],
 [-2, -2, -1, 0, -12, -13],
 [4, -6, 0, 13, 6, 2],
 [3, -10, -12, 6, -4, -2],
 [0, 2, -13, 2, -2, -6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the inverse of 1/180 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:
[[-8, -13, 9, 3, 10, -3],
 [0, 7, 7, -10, 15, -15],
 [0, 0, 8, -13, 13, 12],
 [0, 0, 0, 13, -10, 10],
 [0, 0, 0, 0, 13, 13],
 [0, 0, 0, 0, 0, 8]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of all entries of the inverse of matrix 1/180 * A where A =
[[-13, -6, 9, -6, 5, 1],
 [0, 11, 12, -7, -1, 12],
 [0, 0, -7, -15, 10, 10],
 [0, 0, 0, 11, -12, -5],
 [0, 0, 0, 0, -8, 8],
 [0, 0, 0, 0, 0, 13]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:
[[14, 5, 6, 8, -7, 8],
 [5, 7, 15, 8, 10, 2],
 [-8, 10, -8, 9, -8, -12],
 [7, 5, -3, 4, -13, -2],
 [-13, 7, 1, -9, -4, -11],
 [11, -15, -5, -7, -14, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =
[[-10, 14, 3, -10, -5, 0],
 [15, -7, -8, 7, -4, -1],
 [-3, -2, -9, 6, 7, -1],
 [-14, 7, -9, 15, 7, 2],
 [-13, 1, 8, -12, 6, -6],
 [15, -3, 4, 10, -15, -13]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the inverse matrix of 1/180 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:
[[15, 2, 6, -10, 10, 2],
 [2, 14, 4, 5, -9, 8],
 [6, 4, 4, 0, 8, 4],
 [-10, 5, 0, -5, -12, -12],
 [10, -9, 8, -12, -14, -6],
 [2, 8, 4, -12, -6, -10]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?
[[15, 8, 0, 5, 8, -12],
 [-6, -12, 7, 14, 7, 2],
 [10, 9, -14, 10, 14, 3],
 [-7, 9, -11, 3, 1, 8],
 [-3, -1, 11, -1, -6, 10],
 [5, 8, 15, -7, -9, 1]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =
[[-14, 5, 2, 0, 0, 9],
 [5, 6, -5, -6, 5, 10],
 [2, -5, 9, 5, -3, 4],
 [0, -6, 5, -7, -10, 0],
 [0, 5, -3, -10, 0, 5],
 [9, 10, 4, 0, 5, 1]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the inverse of 1/180 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?
[[10, 6, -12, 11, 12, 4],
 [0, -3, 12, 1, 1, 3],
 [0, 0, 15, 0, -6, 3],
 [0, 0, 0, 2, -4, 13],
 [0, 0, 0, 0, -14, -8],
 [0, 0, 0, 0, 0, 6]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the value at position (6, 1) of the inverse of matrix 1/180 * A where A =
[[-13, -7, -13, 14, -10, 7],
 [0, -5, 9, -15, -7, 5],
 [0, 0, -1, 14, -11, -10],
 [0, 0, 0, -15, 0, 5],
 [0, 0, 0, 0, -9, -15],
 [0, 0, 0, 0, 0, 15]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =
[[9, -2, 3, 4, 5, 0],
 [-2, 2, -6, -3, -4, 7],
 [3, -6, -2, -2, 10, 0],
 [4, -3, -2, 13, -8, -1],
 [5, -4, 10, -8, -6, 3],
 [0, 7, 0, -1, 3, -3]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the inverse of 1/180 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:
[[15, -5, 12, -7, -8, -10],
 [8, -15, 15, 7, 15, -12],
 [8, -15, -3, 7, -9, -4],
 [-13, -2, -15, -11, 4, -11],
 [11, 10, 9, 2, -12, 8],
 [-9, -15, -13, 13, 0, -13]]

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the sum of all entries of the inverse of matrix 1/180 * A where A =
[[5, 1, 9, -2, -1, -13],
 [0, -5, -8, -11, -1, -15],
 [0, 0, 15, 13, 9, -8],
 [0, 0, 0, -3, 4, -8],
 [0, 0, 0, 0, 2, -5],
 [0, 0, 0, 0, 0, 9]]
Round your answer to the nearest integer.

Present the answer in LaTex format: \boxed{Your answer}