messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "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:\n[[6, -9, 8, -13, -4, 3],\n [0, -12, -9, 12, 8, 1],\n [0, 0, 1, -9, 10, -11],\n [0, 0, 0, -10, -2, 5],\n ... | 4080 | MATH |
[
{
"content": "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:\n[[14, -4, 0, -4, 4, 9],\n [-1, -4, 1, -3, -3, 14],\n [-3, 15, 1, -14, 6, -10],\n [1, -4, 10, 6, -4, -8],\n [-12, 6, -7, 1, 3, 1... | 49 | MATH |
[
{
"content": "Find the value at position (5, 6) of the inverse of matrix 1/180 * A where A =\n[[0, -11, 2, 10, 3, -1],\n [-7, -12, 2, -1, -2, 7],\n [13, -10, 1, -13, -14, 15],\n [-9, -13, -9, 8, 10, -4],\n [-15, 0, 13, 1, 10, 6],\n [10, -3, 6, 14, -7, 15]]\nRound your answer to the nearest integer.\n\nPresent t... | -1 | MATH |
[
{
"content": "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:\n[[-9, 8, -3, -4, 6, -9],\n [8, -12, -4, 10, 7, -3],\n [-3, -4, 8, -8, 0, -2],\n [-4, 10, -8, 0, 2, 0],\n [6, 7, 0, 2,... | -13 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the value at position (1, 2) rounded to the nearest integer?\n[[7, -3, 12, 7, 8, -8],\n [0, -7, -12, 5, -15, 5],\n [0, 0, -11, 7, 2, -14],\n [0, 0, 0, -11, 1, 12],\n [0, 0, 0, 0, -13, -12],\n [0, 0, 0, 0, 0, -14]]\n\nPresent the answer in La... | -11 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =\n[[-12, 11, 4, 15, -10, -8],\n [0, 10, -8, 2, -3, -3],\n [0, 0, -12, -8, -8, -9],\n [0, 0, 0, -2, 15, -9],\n [0, 0, 0, 0, 5, 11],\n [0, 0, 0, 0, 0, -7]]\nRound your answer to the nearest integer.\n\nPresent... | 2660 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-1, -13, 1, -11, 4, -4],\n [0, 2, 12, 4, -5, -11],\n [0, 0, 2, -15, 3, 3],\n [0, 0, 0, -10, 8, 12],\n [0, 0, 0, 0, 3, 2],\n [0, 0, 0, 0, 0, -13]]\n\nPresent the answer in LaTex format... | 10295 | MATH |
[
{
"content": "Find the value at position (1, 4) of the inverse of matrix 1/180 * A where A =\n[[12, 3, -10, 4, 6, 4],\n [3, 9, -4, 10, 8, 4],\n [-10, -4, -2, -2, 1, -2],\n [4, 10, -2, 2, 5, -2],\n [6, 8, 1, 5, -15, -6],\n [4, 4, -2, -2, -6, 0]]\nRound your answer to the nearest integer.\n\nPresent the answer in... | 3 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =\n[[13, 1, 14, 9, 7, 4],\n [-1, -12, -11, -1, 13, -12],\n [-13, -11, -15, -1, -6, 15],\n [0, -12, -14, 4, 4, -13],\n [-5, -8, -14, -3, -2, -3],\n [2, 5, -3, -1, 10, 9]]\nRound your answer to the nearest integer.\... | 30 | MATH |
[
{
"content": "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:\n[[0, 0, 0, 5, 5, -11],\n [0, 6, 12, -10, -2, -4],\n [0, 12, 10, 0, -3, 3],\n [5, -10, 0, 14, -2, 8],\n [5, -2, -3, -2, 7, -7],\n [-11, -4, 3, 8, -7, -9]]... | 2 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the value at position (6, 1) rounded to the nearest integer?\n[[-11, 0, 11, -3, 3, 12],\n [0, -12, -11, -2, -4, 7],\n [0, 0, 10, -3, -7, 5],\n [0, 0, 0, -13, -10, -10],\n [0, 0, 0, 0, 9, -15],\n [0, 0, 0, 0, 0, -9]]\n\nPresent the answer in ... | 0 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the value at position (2, 4) rounded to the nearest integer?\n[[-2, 1, 13, -3, -7, 14],\n [6, -13, 15, 8, -15, -7],\n [4, 13, 10, -13, -4, -4],\n [-3, -2, 0, -5, -9, 13],\n [-11, 13, 10, 2, -8, 6],\n [6, 11, 3, 10, 9, 15]]\n\nPresent the ans... | 5 | MATH |
[
{
"content": "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?\n[[15, -11, 12, 1, 3, 0],\n [-11, 14, -4, -6, -10, 8],\n [12, -4, -8, 11, 6, -5],\n [1, -6, 11, 7, 0, -6],\n [3, -10, 6, 0, 11, 4],\n [0, 8, -5, -6, 4, 9]... | 28 | MATH |
[
{
"content": "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:\n[[2, -7, -10, 2, -2, 4],\n [-7, 4, -8, 14, 0, 8],\n [-10, -8, -13, 2, 0, 4],\n [2, 14, 2, -2, 4, -8],\n [-2, 0, 0, 4, -1, -... | -31 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =\n[[14, -10, 9, 6, 1, -10],\n [6, -11, -13, 15, -7, 14],\n [-2, -14, 3, -15, -6, 1],\n [-3, 4, -8, -10, 5, -3],\n [2, -4, -12, 8, 7, 13],\n [14, -8, -5, -5, -9, -3]]\nRound your answer to the nearest integer.\n\n... | 16 | MATH |
[
{
"content": "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?\n[[-14, -4, 6, -1, -13, -13],\n [0, -5, 4, 0, 10, 0],\n [12, -2, -4, -15, 15, 11],\n [2, -12, 6, 1, -7, 11],\n [-3, -3, 3, -3, 14, -9],\n [-13, 2, -6, -11, -13, 13]]\n... | 1008 | MATH |
[
{
"content": "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:\n[[11, -14, -10, -4, -8, -14],\n [0, 1, 0, -7, -10, 3],\n [0, 0, -5, -12, -5, -13],\n [0, 0, 0, -1, -9, -9],\n [0, 0, ... | 432 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[15, -2, -8, -2, 3, 4],\n [-2, 8, 2, 6, -4, 8],\n [-8, 2, -3, 0, 6, -5],\n [-2, 6, 0, -2, 3, 6],\n [3, -4, 6, 3, -11, 5],\n [4, 8, -5, 6, 5, -2]]\n\nPresent the answer in LaTex format:... | 1896 | MATH |
[
{
"content": "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:\n[[4, -10, 9, 15, -7, -9],\n [-8, 2, 14, -1, -11, -2],\n [-10, -3, -6, 8, 15, -10],\n [-12, -7, -9, -8, 4, 10],\n [7, -15, 6, -10, -1, 12],\n... | 329 | MATH |
[
{
"content": "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:\n[[-9, 2, -3, -12, -2, -5],\n [0, 2, -8, -6, -2, -4],\n [0, 0, 10, 5, 14, -12],\n [0, 0, 0, -2, -13, 9],\n [0, 0, 0, 0, -14, 3],\n [0, 0, 0, ... | 1201 | MATH |
[
{
"content": "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?\n[[8, 10, 4, -15, 0, -1],\n [0, 4, 10, -15, -14, -8],\n [0, 0, -8, -8, 4, -13],\n [0, 0, 0, 9, 12, 12],\n [0, 0, 0, 0, 6, -15],\n [0, 0, 0, 0, 0, -10]]\n\nPresent the ... | 1707 | MATH |
[
{
"content": "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:\n[[-12, -7, 2, 6, 7, 7],\n [-13, 2, -10, 1, -11, -6],\n [2, 5, -15, 15, -8, -8],\n [0, 6, -6, -12, 0, 12],\n [13, -10,... | 17 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[2, -2, 6, 8, 9, 4],\n [-2, 11, 1, -6, -6, -8],\n [6, 1, -10, -6, -5, 7],\n [8, -6, -6, -2, -4, -10],\n [9, -6, -5, -4, 10, 0],\n [4, -8, 7, -10, 0, -8]]\n\nPresent the answer in LaTex... | 106 | MATH |
[
{
"content": "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:\n[[12, 9, 14, 15, 13, -15],\n [0, -10, 6, 2, -7, 14],\n [0, 0, -7, -15, 0, 12],\n [0, 0, 0, 3, 4, 4],\n [0, 0, 0, 0, 1... | -7 | MATH |
[
{
"content": "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?\n[[0, -2, -8, -1, 6, 0],\n [-2, -4, 0, -2, 8, 2],\n [-8, 0, 2, -4, -4, -3],\n [-1, -2, -4, 15, -4, 6],\n [6, 8, -4, -4, -13, -8],\n [0, 2, -3, 6, -8, -4]]\n\nPresent t... | 1321 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/180 * A where A =\n[[-7, -13, 4, 8, 1, 0],\n [-3, 10, -3, 5, -3, -7],\n [-7, 1, 15, 11, 3, 9],\n [9, -7, 12, -7, 15, 14],\n [7, 8, -9, -11, -2, -4],\n [10, 2, -8, -12, -5, 12]]\nRound your answer to the nearest integer.\n\nPresent the answer i... | -314 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[9, 0, 12, -3, 11, 1],\n [-3, 2, -6, -4, 14, -9],\n [1, 4, -12, -4, 9, -15],\n [-2, 7, 5, 8, 12, 14],\n [-14, -12, 12, -3, 15, 15],\n [3, -11, -2, -13, 13, 10]]\n\nPresent the answer i... | 34 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =\n[[-8, 0, 12, 2, -8, -4],\n [0, 5, 10, -10, 4, 0],\n [12, 10, 6, -11, 3, 10],\n [2, -10, -11, -14, 2, 6],\n [-8, 4, 3, 2, 3, 0],\n [-4, 0, 10, 6, 0, -2]]\nRound your answer to the nearest integer.\n\nPresen... | 280 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =\n[[10, 4, 4, -10, 2, 6],\n [4, 7, -6, -5, 9, 1],\n [4, -6, -9, 3, 1, -1],\n [-10, -5, 3, -10, 14, 0],\n [2, 9, 1, 14, -8, 3],\n [6, 1, -1, 0, 3, 1]]\nRound your answer to the nearest integer.\n... | -39 | MATH |
[
{
"content": "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:\n[[0, -1, -6, 4, -4, -8],\n [-1, 11, 4, 12, 0, 6],\n [-6, 4, 1, 0, -10, 7],\n [4, 12, 0, -15, 2, 0],\n [-... | 512 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =\n[[-6, 4, 2, 11, 10, -3],\n [4, 11, -2, 7, 0, -4],\n [2, -2, -9, 14, -10, 1],\n [11, 7, 14, 15, 2, 0],\n [10, 0, -10, 2, 3, -8],\n [-3, -4, 1, 0, -8, 4]]\nRound your answer to the nearest integ... | -106 | MATH |
[
{
"content": "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:\n[[7, -13, -9, 2, 12, -1],\n [-6, 6, 14, -14, -5, -3],\n [14, -10, 2, -10, -14, -2],\n [4, -8, 14, -12, 7... | 220 | MATH |
[
{
"content": "Find the value at position (3, 4) of the inverse of matrix 1/180 * A where A =\n[[7, 2, 13, -8, -2, -3],\n [-8, 2, 5, -8, -2, -4],\n [-12, 8, 7, 6, 5, -6],\n [-7, -14, 10, 12, -12, 4],\n [-11, -12, 6, 8, 11, 12],\n [-10, 0, 10, 1, 15, -8]]\nRound your answer to the nearest integer.\n\nPresent the ... | 1 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-15, -2, -14, -3, -1, -11],\n [-2, -11, -8, 4, -5, -2],\n [-14, -8, 1, -9, 6, -2],\n [-3, 4, -9, 5, -4, 1],\n [-1, -5, 6, -4, -9, 10],\n [-11, -2, -2, 1, 10, -5]]\n\nPresent the answe... | -4 | MATH |
[
{
"content": "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:\n[[-14, 13, 5, -3, 9, -7],\n [-6, 13, -3, -1, -13, 1],\n [11, -13, 8, -3, -6, 5],\n [0, -10, 12, -5, -6, ... | 931 | MATH |
[
{
"content": "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:\n[[-9, 1, 2, -15, -10, 8],\n [1, -10, -4, 12, 2, 0],\n [2, -4, 11, -4, -8, 0],\n [-15, 12, -4, -8, 2, 1],... | 535 | MATH |
[
{
"content": "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:\n[[13, -2, 8, -8, -9, 0],\n [-2, 13, 2, -4, 10, 0],\n [8, 2, -10, 4, 6, 6],\n [-8, -4, 4, 0, -7, -10],\n [-9, 10, 6, -... | -22 | MATH |
[
{
"content": "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:\n[[-5, 4, -2, 4, 3, 0],\n [4, -3, -2, -6, -10, 2],\n [-2, -2, -1, 0, -12, -13],\n [4, -6, 0, 13, 6, 2],\n [3, ... | 13 | MATH |
[
{
"content": "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:\n[[-8, -13, 9, 3, 10, -3],\n [0, 7, 7, -10, 15, -15],\n [0, 0, 8, -13, 13, 12],\n [0, 0, 0, 13, -10, 10],\n [0, 0, 0, 0, 13, 13]... | -273 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/180 * A where A =\n[[-13, -6, 9, -6, 5, 1],\n [0, 11, 12, -7, -1, 12],\n [0, 0, -7, -15, 10, 10],\n [0, 0, 0, 11, -12, -5],\n [0, 0, 0, 0, -8, 8],\n [0, 0, 0, 0, 0, 13]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex... | -51 | MATH |
[
{
"content": "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:\n[[14, 5, 6, 8, -7, 8],\n [5, 7, 15, 8, 10, 2],\n [-8, 10, -8, 9, -8, -12],\n [7, 5, -3, 4, -13, -2],\n [-13, 7, 1, -9, -4, ... | -5 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/180 * A where A =\n[[-10, 14, 3, -10, -5, 0],\n [15, -7, -8, 7, -4, -1],\n [-3, -2, -9, 6, 7, -1],\n [-14, 7, -9, 15, 7, 2],\n [-13, 1, 8, -12, 6, -6],\n [15, -3, 4, 10, -15, -13]]\nRound your answer to the near... | -201 | MATH |
[
{
"content": "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:\n[[15, 2, 6, -10, 10, 2],\n [2, 14, 4, 5, -9, 8],\n [6, 4, 4, 0, 8, 4],\n [-10, 5, 0, -5, -12, -12],\n [10, -9... | -333 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[15, 8, 0, 5, 8, -12],\n [-6, -12, 7, 14, 7, 2],\n [10, 9, -14, 10, 14, 3],\n [-7, 9, -11, 3, 1, 8],\n [-3, -1, 11, -1, -6, 10],\n [5, 8, 15, -7, -9, 1]]\n\nPresent the answer in LaTex... | 28 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/180 * A where A =\n[[-14, 5, 2, 0, 0, 9],\n [5, 6, -5, -6, 5, 10],\n [2, -5, 9, 5, -3, 4],\n [0, -6, 5, -7, -10, 0],\n [0, 5, -3, -10, 0, 5],\n [9, 10, 4, 0, 5, 1]]\nRound your answer to the nearest integer.\n\nPresent the a... | 1452 | MATH |
[
{
"content": "For the inverse of 1/180 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[10, 6, -12, 11, 12, 4],\n [0, -3, 12, 1, 1, 3],\n [0, 0, 15, 0, -6, 3],\n [0, 0, 0, 2, -4, 13],\n [0, 0, 0, 0, -14, -8],\n [0, 0, 0, 0, 0, 6]]\n\nPresent the answer in L... | 77 | MATH |
[
{
"content": "Find the value at position (6, 1) of the inverse of matrix 1/180 * A where A =\n[[-13, -7, -13, 14, -10, 7],\n [0, -5, 9, -15, -7, 5],\n [0, 0, -1, 14, -11, -10],\n [0, 0, 0, -15, 0, 5],\n [0, 0, 0, 0, -9, -15],\n [0, 0, 0, 0, 0, 15]]\nRound your answer to the nearest integer.\n\nPresent the answe... | 0 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/180 * A where A =\n[[9, -2, 3, 4, 5, 0],\n [-2, 2, -6, -3, -4, 7],\n [3, -6, -2, -2, 10, 0],\n [4, -3, -2, 13, -8, -1],\n [5, -4, 10, -8, -6, 3],\n [0, 7, 0, -1, 3, -3]]\nRound your answer to the nearest integer.\n\nPresent the a... | -108 | MATH |
[
{
"content": "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:\n[[15, -5, 12, -7, -8, -10],\n [8, -15, 15, 7, 15, -12],\n [8, -15, -3, 7, -9, -4],\n [-13, -2, -15, -11, 4, -11],\n [11, 10, 9, 2, -12, 8],\n [-9, -15, -13, 13... | 163 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/180 * A where A =\n[[5, 1, 9, -2, -1, -13],\n [0, -5, -8, -11, -1, -15],\n [0, 0, 15, 13, 9, -8],\n [0, 0, 0, -3, 4, -8],\n [0, 0, 0, 0, 2, -5],\n [0, 0, 0, 0, 0, 9]]\nRound your answer to the nearest integer.\n\nPresent the answer in LaTex fo... | 410 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.