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_0900 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[11, 0, 2, -7],\n [0, -12, 8, -6],\n [2, 8, -9, 0],\n [-7, -6, 0, 2]]\n\nPresent the answer in LaTex fo... | -51 | math |
arithmetic_matrix_inverse_train_0901 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[6, 2, -10, 9],\n [0, -9, 5, 3],\n [0, 0, -5, 10],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -189 | math |
arithmetic_matrix_inverse_train_0902 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-10, -8, 1, 2],\n [-8, -6, -8, 9],\n [1, -8, -3, 0],\n [2, 9, 0, -7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -26 | math |
arithmetic_matrix_inverse_train_0903 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-2, -9, -6, -1],\n [5, -4, -12, 6],\n [5, -5, -1, 2],\n [6, 8, -7, -11]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_inverse_train_0904 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (1, 2) of the inverse. Round your answer to the nearest integer:\n[[-9, -4, 3, -3],\n [-4, 0, -1, 10],\n [7, 4, -8, 0],\n [-6, 4, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | -2 | math |
arithmetic_matrix_inverse_train_0905 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the value at position (1, 3) rounded to the nearest integer?\n[[-8, -5, -5, -3],\n [0, 12, -3, 0],\n [0, 0, 3, 11],\n [0, 0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -25 | math |
arithmetic_matrix_inverse_train_0906 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-9, -8, -9, 5],\n [-3, 10, 11, -6],\n [3, -2, -10, -1],\n [-10, -2, -11, -3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -28 | math |
arithmetic_matrix_inverse_train_0907 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[3, -8, 5, -6],\n [0, -8, -5, 4],\n [0, 0, -2, -4],\n [0, 0, 0, 1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1162 | math |
arithmetic_matrix_inverse_train_0908 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[-9, 7, 0, 6],\n [0, -10, 3, -11],\n [0, 0, -3, 5],\n [0, 0, 0, -8]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -104 | math |
arithmetic_matrix_inverse_train_0909 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[6, -1, -7, 0],\n [-5, 3, 9, -11],\n [6, -6, -2, 10],\n [-2, 10, -12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 408 | math |
arithmetic_matrix_inverse_train_0910 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (4, 3) of the inverse. Round your answer to the nearest integer:\n[[10, -7, -1, 1],\n [0, 6, 10, 0],\n [0, 0, -3, 6],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_inverse_train_0911 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[5, -6, -2, 10],\n [12, -5, -8, -3],\n [-6, -1, -7, 10],\n [3, 10, -7, -11]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_inverse_train_0912 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-4, -5, 6, 6],\n [-7, 9, -9, -9],\n [6, 0, 7, 6],\n [10, -3, 5, 2]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -37 | math |
arithmetic_matrix_inverse_train_0913 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-9, 4, -3, 6],\n [4, 10, 5, -5],\n [-3, 5, -4, 1],\n [6, -5, 1, 1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -23 | math |
arithmetic_matrix_inverse_train_0914 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value at position (3, 3) of the inverse of matrix 1/96 * A where A =\n[[6, 6, 0, -2],\n [-1, 6, -3, 10],\n [4, -4, 9, 6],\n [2, -4, -3, 7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_inverse_train_0915 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -6, -2, 8],\n [-6, 6, 9, 4],\n [-2, 9, 3, 2],\n [8, 4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | -62 | math |
arithmetic_matrix_inverse_train_0916 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 4, 0, 8],\n [-11, 7, -12, 5],\n [12, 6, 1, -12],\n [7, 5, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | -156 | math |
arithmetic_matrix_inverse_train_0917 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[7, 4, 2, 7],\n [0, -6, 7, 0],\n [0, 0, 10, -10],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 233 | math |
arithmetic_matrix_inverse_train_0918 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-7, 6, -4, 0],\n [6, -4, -4, 3],\n [-4, -4, -12, -7],\n [0, 3, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 118 | math |
arithmetic_matrix_inverse_train_0919 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-10, 12, -5, -3],\n [0, -3, -8, -7],\n [0, 0, -6, 2],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 59 | math |
arithmetic_matrix_inverse_train_0920 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[5, 0, -8, -9],\n [2, -3, 6, -3],\n [0, -3, 12, -8],\n [12, -3, -11, 3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -96 | math |
arithmetic_matrix_inverse_train_0921 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[7, 5, -6, 3],\n [5, 2, 6, 2],\n [-6, 6, 9, 0],\n [3, 2, 0, 5]]\n\nPresent the answer in ... | 30 | math |
arithmetic_matrix_inverse_train_0922 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-1, -7, -10, 3],\n [-7, 2, 4, 6],\n [-6, 0, -4, -11],\n [3, 6, 11, 10]... | 94 | math |
arithmetic_matrix_inverse_train_0923 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -9, 7, 5],\n [0, 2, 1, 6],\n [0, 0, -4, -4],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 593 | math |
arithmetic_matrix_inverse_train_0924 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (3, 4) of the inverse. Round your answer to the nearest integer:\n[[-12, -2, 0, 2],\n [0, -8, 1, 11],\n [0, 0, -4, 5],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | 60 | math |
arithmetic_matrix_inverse_train_0925 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 8, -10, 12],\n [0, 3, -4, 8],\n [0, 0, -11, 5],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your... | 131 | math |
arithmetic_matrix_inverse_train_0926 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (3, 4) of the inverse. Round your answer to the nearest integer:\n[[11, -5, -6, 2],\n [-5, -9, -6, 9],\n [-6, -6, -7, 4],\n [2, 9, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 40 | math |
arithmetic_matrix_inverse_train_0927 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[9, -9, -3, -3],\n [0, 2, -3, -8],\n [0, 0, 7, -9],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 168 | math |
arithmetic_matrix_inverse_train_0928 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-11, -10, 10, 11],\n [0, 2, -11, -6],\n [0, 0, -8, 6],\n [0, 0, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_inverse_train_0929 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-4, 12, -11, -3],\n [0, -10, -6, -7],\n [0, 0, 6, -10],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTe... | -211 | math |
arithmetic_matrix_inverse_train_0930 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[5, -6, -11, 0],\n [7, -12, 10, 6],\n [5, -6, 9, -12],\n [-4, 7, -4, 5]]\n\nPresent the a... | 39 | math |
arithmetic_matrix_inverse_train_0931 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-8, -12, 10, 4],\n [0, 3, 12, -11],\n [0, 0, 11, 3],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 511 | math |
arithmetic_matrix_inverse_train_0932 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[11, 0, -6, -12],\n [0, 11, 12, -12],\n [0, 0, 11, 7],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 240 | math |
arithmetic_matrix_inverse_train_0933 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[-10, 11, 12, 7],\n [-7, 2, -12, -2],\n [-4, 11, 8, -8],\n [-4, 12, -8, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | 91 | math |
arithmetic_matrix_inverse_train_0934 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -3, 2, -8],\n [-3, -6, 7, -2],\n [2, 7, 10, 8],\n [-8, -2, 8, -4]]\n\nPresent t... | 148 | math |
arithmetic_matrix_inverse_train_0935 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-3, -3, -9, 8],\n [0, -12, -11, -3],\n [0, 0, 11, -10],\n [0, 0, 0, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -55 | math |
arithmetic_matrix_inverse_train_0936 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (3, 3) of the inverse. Round your answer to the nearest integer:\n[[-10, -3, 8, 4],\n [0, -8, -3, 4],\n [0, 0, 6, -5],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 16 | math |
arithmetic_matrix_inverse_train_0937 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-4, 10, 1, 9],\n [-6, 2, -11, 0],\n [-4, 10, -9, -12],\n [-2, -1, -10, -5]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_inverse_train_0938 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[9, 0, 8, -2],\n [0, -3, 10, -8],\n [8, 10, -7, 0],\n [-2, -8, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5 | math |
arithmetic_matrix_inverse_train_0939 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[3, -7, -4, 8],\n [0, 8, -9, -11],\n [0, 0, 7, 8],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 354 | math |
arithmetic_matrix_inverse_train_0940 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-11, 5, 2, -2],\n [5, 7, -1, 2],\n [2, -1, -10, 4],\n [-2, 2, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 71 | math |
arithmetic_matrix_inverse_train_0941 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-5, -2, -7, -12],\n [-5, 7, -2, 7],\n [11, 10, -6, -12],\n [6, -10, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -41 | math |
arithmetic_matrix_inverse_train_0942 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 11, 10, 1],\n [-10, 5, 10, 12],\n [-7, -5, 2, -5],\n [-8, 4, -3, -7]]\n\nPresent the... | 10 | math |
arithmetic_matrix_inverse_train_0943 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[-10, 1, -8, 11],\n [6, 4, -11, -8],\n [2, 11, 4, 8],\n [6, -12, 11, -9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 212 | math |
arithmetic_matrix_inverse_train_0944 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[4, 5, 10, 0],\n [5, 6, -4, -4],\n [10, -4, 10, -10],\n [0, -4, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 125 | math |
arithmetic_matrix_inverse_train_0945 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-9, -7, 9, 8],\n [0, 8, -2, 10],\n [0, 0, 2, 2],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: ... | 48 | math |
arithmetic_matrix_inverse_train_0946 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[0, -2, -2, 12],\n [-2, -11, 1, -8],\n [-2, 1, 11, 2],\n [12, -8, 2, -1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -1 | math |
arithmetic_matrix_inverse_train_0947 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-12, -6, -6, 1],\n [-6, -2, 8, -9],\n [-6, 8, 0, -8],\n [1, -9, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 250 | math |
arithmetic_matrix_inverse_train_0948 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[8, -12, 5, 4],\n [0, -2, -5, -7],\n [0, 0, -1, -7],\n [0, 0, 0, -3]]\n\nPresent the... | 2388 | math |
arithmetic_matrix_inverse_train_0949 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-3, 0, -8, 0],\n [0, 11, 6, 1],\n [-8, 6, -10, 2],\n [0, 1, 2, -10]]\n\nPresent the answer in LaTex format... | 51 | math |
arithmetic_matrix_inverse_train_0950 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -9, 2, 8],\n [0, -11, 1, -3],\n [0, 0, 8, 1],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 136 | math |
arithmetic_matrix_inverse_train_0951 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[-11, 11, -7, 1],\n [-6, 6, -3, 1],\n [-5, -11, -8, 4],\n [4, -4, -11, -8]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 63348 | math |
arithmetic_matrix_inverse_train_0952 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-8, -5, -2, -8],\n [7, -2, 5, -2],\n [7, -2, -8, -5],\n [9, -6, -3, 0]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | -15 | math |
arithmetic_matrix_inverse_train_0953 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[3, -3, -7, -12],\n [7, 6, 9, 4],\n [-6, 0, 0, 2],\n [5, -1, -10, -11]]\n\nPresent the answer in ... | 5 | math |
arithmetic_matrix_inverse_train_0954 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-9, -5, -2, -4],\n [-5, -3, -4, 2],\n [-2, -4, 8, -2],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 26 | math |
arithmetic_matrix_inverse_train_0955 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -5, 4, -2],\n [-5, 2, 1, -3],\n [4, 1, -2, 0],\n [-2, -3, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 17 | math |
arithmetic_matrix_inverse_train_0956 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -6, 6, -11],\n [-3, 7, 7, 8],\n [-6, 5, 6, 1],\n [9, 1, 4, 12]]\n\nPresent the answer in LaTex format:... | 323 | math |
arithmetic_matrix_inverse_train_0957 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -4, 0, 8],\n [-4, 7, 1, 8],\n [0, 1, 1, 6],\n [8, 8, 6, 10]]\n\nPr... | 60 | math |
arithmetic_matrix_inverse_train_0958 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-4, 4, -9, -7],\n [0, -9, -1, 6],\n [0, 0, -8, -12],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex form... | 28 | math |
arithmetic_matrix_inverse_train_0959 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-9, 0, 0, -1],\n [0, 6, -1, 10],\n [0, -1, -4, 7],\n [-1, 10, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 28 | math |
arithmetic_matrix_inverse_train_0960 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 1, -4, -10],\n [8, 5, 11, -12],\n [12, -1, 0, 0],\n [-3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -29 | math |
arithmetic_matrix_inverse_train_0961 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[8, 3, 3, 1],\n [9, 7, 5, -9],\n [-9, -5, -1, 6],\n [-11, -11, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_inverse_train_0962 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 2, 2, 2],\n [2, -6, -1, -2],\n [2, -1, -9, 3],\n [2, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | -21 | math |
arithmetic_matrix_inverse_train_0963 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[10, -6, 0, -6],\n [0, 2, -10, 9],\n [0, 0, 11, -6],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{You... | 286 | math |
arithmetic_matrix_inverse_train_0964 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-8, -6, -7, -4],\n [-6, 8, -3, -8],\n [-7, -3, 9, -8],\n [-4, -8, -8, ... | 19 | math |
arithmetic_matrix_inverse_train_0965 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[10, -4, -6, 6],\n [-4, -2, 4, -3],\n [-6, 4, -12, 4],\n [6, -3, 4, -1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -246 | math |
arithmetic_matrix_inverse_train_0966 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[11, 2, 4, 8],\n [2, 1, -3, 10],\n [4, -3, -12, 6],\n [8, 10, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 90 | math |
arithmetic_matrix_inverse_train_0967 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-4, 8, 7, 0],\n [0, 9, 4, -8],\n [-3, -5, -9, 3],\n [-4, 1, 4, -10]]\n\nPresent the answer in LaTex fo... | -26 | math |
arithmetic_matrix_inverse_train_0968 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[12, -2, 4, 2],\n [-2, 6, -3, 0],\n [4, -3, 5, 4],\n [2, 0, 4, 7]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 100 | math |
arithmetic_matrix_inverse_train_0969 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[9, 0, -3, 4],\n [0, -7, -6, 3],\n [-3, -6, -12, 10],\n [4, 3, 10, -12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | -56 | math |
arithmetic_matrix_inverse_train_0970 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-11, -4, 3, 11],\n [0, -12, -6, -10],\n [0, 0, -6, 8],\n [0, 0, 0, -1]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | -183 | math |
arithmetic_matrix_inverse_train_0971 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-9, 9, 0, 5],\n [-9, 1, -9, -4],\n [-3, -6, -1, -1],\n [3, -12, -5, -10]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -73 | math |
arithmetic_matrix_inverse_train_0972 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[2, -4, -1, 5],\n [-1, 9, -12, 6],\n [-11, 12, -10, 9],\n [-7, -4, -11, -2]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | 74 | math |
arithmetic_matrix_inverse_train_0973 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[9, 2, 7, -5],\n [0, 6, -8, -5],\n [0, 0, -10, 6],\n [0, 0, 0, -2]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -31 | math |
arithmetic_matrix_inverse_train_0974 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[4, -5, 12, 7],\n [0, -7, -10, 0],\n [0, 0, 5, -3],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 38 | math |
arithmetic_matrix_inverse_train_0975 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[10, -10, -10, -4],\n [-12, -7, 10, -10],\n [7, -1, 3, 12],\n [2, -4, -1, 1]]\n\nPre... | 306 | math |
arithmetic_matrix_inverse_train_0976 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[9, 2, -10, -4],\n [2, 10, 8, -7],\n [-10, 8, 12, -2],\n [-4, -7, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -226 | math |
arithmetic_matrix_inverse_train_0977 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[-5, 9, -4, -12],\n [3, 11, 7, 8],\n [1, 4, -8, 0],\n [-1, 8, 9, -3]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 41 | math |
arithmetic_matrix_inverse_train_0978 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-3, -1, -2, -10],\n [0, -1, 2, 12],\n [0, 0, -3, -8],\n [0, 0, 0, 7]]\n\nPresent the answer in LaTex f... | -133 | math |
arithmetic_matrix_inverse_train_0979 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/96 * A where A =\n[[-4, 9, 1, -7],\n [-9, -1, 1, -6],\n [8, 3, 11, -5],\n [-11, 5, 11, -12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_inverse_train_0980 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[4, 8, 10, 2],\n [-7, 10, -6, 6],\n [8, -5, 8, 7],\n [9, -6, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 74 | math |
arithmetic_matrix_inverse_train_0981 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-5, -11, -11, 4],\n [-3, -10, 6, -4],\n [10, -4, -7, 12],\n [12, -12, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 22 | math |
arithmetic_matrix_inverse_train_0982 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (2, 3) of the inverse. Round your answer to the nearest integer:\n[[-5, 0, -6, 7],\n [0, 3, 2, -4],\n [-6, 2, 1, 4],\n [7, -4, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | -19 | math |
arithmetic_matrix_inverse_train_0983 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[1, 0, 6, 2],\n [0, 4, 3, -8],\n [6, 3, -4, 4],\n [2, -8, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_inverse_train_0984 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-3, 12, -9, -5],\n [0, 5, -2, 3],\n [0, 0, -3, 7],\n [0, 0, 0, 7]]\n\nPresent the answer... | -31 | math |
arithmetic_matrix_inverse_train_0985 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 4, -3, 0],\n [4, -4, 3, -2],\n [-3, 3, 4, 3],\n [0, -2, 3, -12]]\n\nPresent the ans... | -46 | math |
arithmetic_matrix_inverse_train_0986 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of all entries of the inverse of matrix 1/96 * A where A =\n[[-10, -3, 11, -7],\n [0, -11, -9, 11],\n [0, 0, 9, -5],\n [0, 0, 0, -4]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -44 | math |
arithmetic_matrix_inverse_train_0987 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[3, -2, 1, -1],\n [11, 9, -4, -10],\n [-2, -10, -9, -8],\n [-1, 8, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 5 | math |
arithmetic_matrix_inverse_train_0988 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[3, 6, -4, -4],\n [6, -10, 8, 0],\n [-4, 8, 10, -2],\n [-4, 0, -2, 11]]\n\nPresent t... | 94 | math |
arithmetic_matrix_inverse_train_0989 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[6, -12, 3, 3],\n [-9, 8, 3, -8],\n [-7, 8, 3, -3],\n [7, 10, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 23 | math |
arithmetic_matrix_inverse_train_0990 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[-12, 2, -10, -6],\n [2, 3, -10, 5],\n [-10, -10, 12, 5],\n [-6, 5, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 9 | math |
arithmetic_matrix_inverse_train_0991 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-10, 4, -12, 10],\n [5, -7, 8, 0],\n [4, 0, -5, 7],\n [-5, -9, -8, -12]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 11 | math |
arithmetic_matrix_inverse_train_0992 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "For the inverse of 1/96 times the matrix below, what is the value at position (3, 1) rounded to the nearest integer?\n[[-1, 4, -10, -12],\n [4, 10, -2, -10],\n [-10, -2, -3, -8],\n [-12, -10, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -30 | math |
arithmetic_matrix_inverse_train_0993 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the inverse of 1/96 times the matrix and calculate the value at position (1, 1) of the inverse. Round your answer to the nearest integer:\n[[8, 0, 6, 4],\n [0, 5, -4, -2],\n [6, -4, 11, 6],\n [4, -2, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 28 | math |
arithmetic_matrix_inverse_train_0994 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, -5, -4, -9],\n [-8, -4, 1, 5],\n [2, -8, -10, 9],\n [-6, 9, 0, -1]]\n\nPresent the answer in LaTex... | -17 | math |
arithmetic_matrix_inverse_train_0995 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/96 * A where A =\n[[-3, 2, 10, -8],\n [2, -9, -8, 7],\n [10, -8, -4, 4],\n [-8, 7, 4, 0]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 25 | math |
arithmetic_matrix_inverse_train_0996 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Calculate the inverse matrix of 1/96 times the following and determine the value at position (3, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[1, -10, 9, 8],\n [0, 1, -5, 8],\n [0, 0, 11, -1],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTe... | -3 | math |
arithmetic_matrix_inverse_train_0997 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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, 10, -4, -6],\n [-11, -1, 0, 8],\n [6, -4, -10, 2],\n [-6, 11, 7, -6]]\n\nPresen... | 370 | math |
arithmetic_matrix_inverse_train_0998 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/96 * A where A =\n[[5, 2, -7, 6],\n [0, 3, 6, 8],\n [0, 0, 3, 0],\n [0, 0, 0, -6]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 291 | math |
arithmetic_matrix_inverse_train_0999 | arithmetic_matrix_inverse | null | [
{
"role": "user",
"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[[1, 0, 10, -4],\n [3, 2, 11, -12],\n [-11, 7, 5, 3],\n [3, -9, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 168 | math |
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