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 format: \\boxed{Your answer}"
}
] |
-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{Your answer}"
}
] |
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{Your answer}"
}
] |
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: \\boxed{Your answer}"
}
] |
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 LaTex format: \\boxed{Your answer}"
}
] |
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{Your answer}"
}
] |
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 LaTex format: \\boxed{Your answer}"
}
] |
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: \\boxed{Your answer}"
}
] |
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{Your answer}"
}
] |
-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 format: \\boxed{Your answer}"
}
] |
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{Your answer}"
}
] |
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: \\boxed{Your answer}"
}
] |
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 answer}"
}
] |
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 answer}"
}
] |
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 answer}"
}
] |
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 format: \\boxed{Your answer}"
}
] |
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
|
End of preview. Expand
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