messages listlengths 1 1 | ground_truth stringlengths 1 9 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[17, -31, -12, 3, 8, 29, -24, 17, 0, -33, 16, 4],\n [33, -4, -19, 31, -17, 19, 20, 12, 5, -20, -33, -12],\n [-10, -9, 1, 21, 24, 34, 3, 31, 0, 20, -3, -... | -102 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (2, 10) of the inverse. Round your answer to the nearest integer:\n[[6, 7, 15, -23, -12, 34, -4, 19, 30, -31, -31, -30],\n [0, -19, -33, 19, -3, 34, -27, -28, -11, -27, 23, 32],\n [0, 0, 2, -33, -17, 25, -15, 18, 18, -3... | 117288 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (6, 9) of the inverse. Round your answer to the nearest integer:\n[[-31, 28, -13, -6, 24, -1, 20, 8, 9, -17, 18, -10],\n [28, -19, -16, 15, 4, 6, -10, 0, -22, 8, 8, 19],\n [-13, -16, 20, 14, 2, 8, 9, -4, -2, -18, 12, -4... | 7 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[17, -19, 33, -22, -22, 3, -32, -26, 15, -12, -6, -5],\n [0, -12, 26, -4, -28, 33, -16, -2... | -16836 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-29, -34, 0, -30, 10, 16, 20, -30, 12, 20, -10, -8],\n [-34, 32, 20, 24, -14, 0, 6, 16, -28, 0, 8, -20],\n [0, 20, 29, -1... | -331 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-34, -24, -2, 6, 14, 8, -28, -12, 17, 0, -8, -22],\n [-24, -26, -27, -16, -23, -18, 34, 11, 29, 8, 2, 10],\n [-2, -27, -8, 4, -20, 10, -19, 0, 12, 0, 0, 16],\n [6, -16, 4, -18, 2, 22,... | 124 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-26, 2, -5, 15, -3, 5, -8, 0, 24, 17, -14, 28],\n [2, -31, -32, -5, 4, -8, -10, 12, 14, -18, 12, -10],\n [-5, -32, 25, -3, 2, 16, -16, -26, 15,... | -281 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-28, -7, 26, 8, 14, -22, 12, 18, -8, -2, 23, 8],\n [-7, -8, 20, -13, 9, -11, 13, 4, 5, 16, -4, -14],\n [26, 20, 0, -12, -... | 777 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (12, 6) rounded to the nearest integer?\n[[17, -25, 13, 12, 34, -24, -33, 23, 16, -32, -13, 20],\n [29, 32, -27, -18, -19, -17, -15, 35, 23, 18, -15, 7],\n [3, 35, -33, 11, 35, -6, 12, 5, 30, -15, 28, -6],\n [-26, -11, ... | 16 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[33, -22, -18, -2, -2, 4, -12, -18, 30, -19, -35, -12],\n [-9, -34, -25, -31, 2, -29, -11, -22, 21, -6, 3, 21],\n [-... | -14 | MATH |
[
{
"content": "Find the value at position (6, 9) of the inverse of matrix 1/839 * A where A =\n[[13, 18, -29, -18, -3, 26, -25, 13, 22, 19, -18, 14],\n [23, -21, -32, 2, 28, 10, 7, 27, 2, -30, -6, 33],\n [-25, -23, 24, -19, 19, -28, -34, -17, 15, 23, -14, -25],\n [-20, -1, -28, -31, -23, -20, 35, 21, 3, -3, 2, 2... | 221 | MATH |
[
{
"content": "Find the value at position (3, 6) of the inverse of matrix 1/839 * A where A =\n[[33, 33, 5, 22, 18, 10, 17, -2, -1, -8, -16, 33],\n [0, 20, 33, -1, -28, -3, -6, -3, 26, 24, -13, 20],\n [0, 0, -16, 35, 34, 25, -3, -28, 25, -14, 20, 12],\n [0, 0, 0, 18, 23, -30, -11, -4, 25, -1, 26, -11],\n [0, 0, ... | 264 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (5, 9) of the inverse. Round your answer to the nearest integer:\n[[-33, 20, 17, -15, 2, -16, -8, 4, 6, -29, 2, -19],\n [20, 25, 8, -21, -2, -22, -2, 0, -2, 4, 0, -24],\n [17, 8, -12, 8, 22, 18, -12, -15, 0, -13, 18, -8... | 37 | MATH |
[
{
"content": "Find the inverse of 1/839 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[[18, 18, 0, -18, -31, 10, -4, 33, -8, -19, 18, -22],\n [4, -22, -34, -29, -14, -18, -28, 7, 2, 19, 14, 13],\n [0, -6, -20, 34,... | 43 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[-32, -2, 8, -2, 18, -26, -20, 13, -3, 14, -16, -22],\n [-2, 15, 22, -11, -1, -23, -20, 12, -16, -8, 0,... | 19876 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[18, -8, -34, -7, 24, 22, -31, -23, 34, 23, -28, -34],\n [-26, -32, -1, 13, -17, -29, -6, 26, -13, 34, 33, -9],\n [-14, -23, -15, -4, 11, -30, 26, 28, -24, 2, -29, 27],\n [-25, -8, -7, 4, -9, -4, -16, 8, ... | 2115 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[6, -29, 24, 5, -19, 1, 26, 8, 0, 28, 6, -6],\n [-30, -12, -7, -20, 19, 34, -19, 20, -25, -8, -29, -7],\n [-7, 25, 30, -6, -17, 8, 20, 26, 29, 14, 14, 2... | 45 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (11, 5) rounded to the nearest integer?\n[[11, -31, 11, -33, 23, -17, -29, -24, -25, -14, -5, -33],\n [33, -3, -16, -5, 15, 33, -23, -23, -25, -31, -17, 33],\n [26, -35, -1, -31, 27, -30, -35, 10, -23, 19, -17, -7],\n [... | 51 | MATH |
[
{
"content": "Find the inverse of 1/839 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[[-22, 10, -28, -11, -4, -18, -4, -18, -10, -21, 22, 6],\n [10, 13, 25, -23, -14, -20, 4, -14, -4, 1, -6, 12],\n [-28, 25, 18, ... | -48 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-14, -26, 2, 28, 7, 19, -25, -20, -11, 19, 31, 30],\n [0, 10, -25, 34, -8, 31, 8, 34, 19, -19, 4, 34],\n [0, 0, 17, 29, -35, 3, -6, 7, -13, -5, 33, 16],\n [0, 0, 0, -19, 11, 20, 11, 1... | 13485 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[13, -21, 26, -17, 3, -35, -19, -12, -7, 5, 26, -25],\n [0, 10, -17, 19, 9, 24, -29, 13, 5, 0, 21, -9],\n [0, 0, 4, -12, 23, 1, -23, 35, -16, -10, 20, 4],\n [0, 0, 0, 22, 28, -3, 20, 6, -5, 11, -16, 7],\n [0, ... | 900 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-18, -12, 14, -5, -12, 6, -24, 25, 3, -10, -22, -6],\n [-12, 18, 1, -4, 20, -10, 0, -21, -9, 10, -12, 14],\n [14, 1, 11, 2, -20, -1, -15, 18, -6, -13, 15, -10],\n [-5, -4, 2, 5, -21, 0, -16,... | -41 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-4, 35, 4, -30, -4, -27, 8, 13, -10, 16, -1, -16],\n [0, 17, 18, -17, 31, 12, -25, -9, 32, 9, 25, -1],\n [0, 0, -16, 23, 33, -18, 33, 2, -17, -27, -18, 18],\... | -10745550 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-33, 31, -11, -12, 4, -5, -33, -26, 28, -14, -19, 5],\n [0, -32, 16, -18, 15, -31, 19, 6, -2, 5, 33, -33],\n [0, 0, 24, 29, -34, 9, -28, 22, 15, 20, 31, -12],\n [0, 0, 0, -23, -27, -13, -11,... | -1409 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (7, 4) rounded to the nearest integer?\n[[-16, 4, -2, -29, 11, 12, -7, 11, -34, -32, 19, -15],\n [31, 5, 14, -10, -15, -16, 16, 11, 35, -13, -19, -5],\n [5, -28, -13, -8, 35, 15, 17, 5, -9, 11, -21, -32],\n [0, -30, -14... | -58 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-27, 8, 4, -21, -6, 6, -23, 24, -15, -35, 22, -20],\n [-7, -1, 21, -9, 24, 22, -29, 12, 4, -26, -14, -3],\n [27, -15, 2, 13, -4, 34, -3, -6, -9, -10, 20, 27],\n [23, -8, -32, -15, -24, -35, ... | -176 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[-22, -10, 0, -9, -20, 0, -8, 2, -8, 2, 25, 13],\n [-10, -30, 29, 2, 13, -5, 18, -10, -2, -22, -14, 26],\n [0, 29, -18, -29, 26, -8, -5, -6, 12, -12, -5, 16],\n [-9, 2, -29, -2, -5, 1, 0, 10, 10, -7, 20, -8],\... | -469 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (3, 10) rounded to the nearest integer?\n[[-24, 28, -2, 4, 10, -6, 11, 10, -14, -29, 0, -27],\n [0, -32, 2, -8, 33, -34, -25, -6, 8, -21, 4, 18],\n [0, 0, -8, -14, 24, -11, -27, -28, 7, 17, -14, 21],\n [0, 0, 0, 19, -17... | -3224 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-15, -16, 20, -31, 0, 10, 0, -22, -14, 20, -2, 10],\n [-16, 28, -28, -10, -10, -18, 12, -11, -10, 25, -4, 4],\n [20, -28, 24, 10, -6, 14, -18, 0, -8, -7, -20... | -97 | MATH |
[
{
"content": "Find the inverse of 1/839 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[[-30, -29, 31, 25, 6, -31, 15, -1, 21, 22, 23, 13],\n [2, -15, 0, -16, 9, 10, -22, -17, 34, 15, -33, -33],\n [15, 18, -2, 22, ... | -6191 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-13, 8, 31, -15, 19, 14, -18, -9, -1, -3, -11, 19],\n [24, -16, -15, 2, 20, 31, 18, -2, -26, 14, -19, 24],\n [33, 33, -2, 11, -3, -21, 22, -34, 20, 0, -30, -9],\n [... | 3085 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-34, -2, 11, -2, -1, 10, -2, -2, 1, 5, 14, -11],\n [-2, 26, -28, -26, 18, 8, 1, -23, 2, -14, -1, 15],\n [11, -28, -27, -18, -24, 2, -4, -18, 28, 4, 10, -5],\n [-2, -26, -18, 24, -14, ... | 18 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[-20, 28, -9, 3, -3, -32, -25, -14, 3, -34, -25, 20],\n [33, 15, 31, 20, 10, 35, -8, 2, -12, -12, 3, -33],\n [-10, -21, 32, 33, -18, 32, -33, -19, 18, -32, 20, -7],\n [14, 27, -24, 10, -20, -6, 9, 7, -15,... | 2069 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-31, -20, -30, -7, 31, 6, -16, 17, -31, 5, 18, -33],\n [-11, -19, -1, -11, 30, -8, 16, 32, 32, -17, -24, -9],\n [-20, -2, -17, -26, -18, 20, -2... | -295 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[25, 23, 10, -5, 26, -35, -2, 17, -10, 33, 9, 15],\n [0, 12, -29, -26, -24, 31, -26, 29, -15, -35, -20, -19],\n [0, 0, -11, 21, -6, -30, -19, 8, 33, 20, -1, 6],\n [0, 0, 0, -13, -13, 9, -20, -26, -18, 12, -12,... | -220 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-8, -21, -4, -19, 11, 22, 35, -11, -23, -24, 9, -1],\n [-29, 34, 9, 26, 13, 34, -31, 11, -15, -9, -31, -13]... | 11 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[25, 1, 7, 25, -30, 26, 28, 0, 24, 25, -25, -21],\n [-14, -33, 17, 2, 11, 15, 15, -27, 17, -21, -14, 0],\n [19, 12, -29, 33, -34, -14, 34, 13, 22, 31, 21, -32],\n [10, 26, -23, -17, -2, 9, 13... | 39 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[1, 0, -7, 8, 15, 10, 24, 12, -14, -11, -19, -12],\n [0, -21, 9, -34, -26, -23, 27, -23, -9, 32, -35, 7],\n [0, 0, -18, -20, 23, 7, -2, 8, -35, 25, 15, 23],\n [0, 0,... | 27983 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[7, 31, 28, -26, -33, -22, -3, -3, 16, -20, 35, 8],\n [0, 24, -10, 3, 16, 23, 3, -8, 5, 4, -32, -21],\n [0, 0, 24, 33, 31, 35, 30, -25, -2, 9, -15, -33],\n [0... | -473571 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[27, 9, 33, -9, 3, 10, 30, 25, 7, -31, -25, 30],\n [-35, -3, -18, -2, -13, 22, -25, 5, -2, 32, 19, 24],\n [-21, -17, -8, -8, 35, -21, -26, -8, -24, 28, 9, -20],\n [-... | 6844 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[-17, 21, 9, -26, 16, -5, 35, 34, 13, 3, 20, -28],\n [16, 24, 6, -21, -33, -9, -3, 5, -13, 15, 0, -1],\... | 1454 | MATH |
[
{
"content": "Find the inverse of 1/839 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, 11, -31, 29, -14, 24, -12, 22, 9, 25, 17, 31],\n [0, -25, -1, 24, 28, 25, -27, -4, 3, -25, -23, 27],\n [0, 0, -27, 8, -30... | -172141 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-16, 14, -19, -23, -35, -28, -18, -35, -16, 3, -31, -10],\n [25, 18, 25, -30, 21, 12, -29, -10, 5, 8, -18, -12],\n [-35, -31, -3, 20, 13, -3, -... | -28 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[24, -10, -4, 17, 12, 10, 0, 26, 0, -10, 11, 16],\n [-10, 17, -31, 16, 10, 6, 30, -26, 2, 3, 26, -22],\n [-4, -31, 7, -19, 3, 8, -14, -4, 4, 0, 20, -3],\n [17, 16, -... | 1618 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-29, -32, 10, -19, -7, -8, -8, -32, -32, -25, 29, 13],\n [0, 22, -22, 27, -33, -5, 14, 19, 27, 23, -9, -11],\n [-30, -26, -10, -30, -15, -14, 11, 4, 11, 2, -8, 16],... | 5856 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-26, 22, -16, 18, -17, 0, 17, 22, 1, -6, -7, 24],\n [0, 18, -3, 32, 14, -11, 3, -27, -34, 4, -11, 2],\n [-11, 13, 27, 21, 30, -33, -9, -6, -18, 22, -9, 25],\... | -386 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[-28, -14, 15, -12, -14, 12, 10, 9, 4, -2, 4, -17],\n [-14, 17, -2, -6, -24, -14, -8, 32, 14, 5, 8, 12],\n [15, -2, -29, 20, 33, -9, -5, -2, 15, 15, 12, 5],\n [-12, -6, 20, 35, -2, 30, -10, 14, 0, -2, 34, 18],... | -98 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[-18, 16, -7, -5, -35, -30, -19, -27, 29, -21, -19, 20],\n [14, 29, -9, 15, 34, -16, 33, 2... | -26 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-30, -2, 10, -13, 13, -18, 2, -4, 27, -14, -1, 26],\n [0, -16, -8, 24, 11, 3, 25, 35, 22, -33, -12, -29],\n [0, 0, -15, -19, 20, 34, -32, ... | 11849 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (1, 10) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-20, 14, 24, -18, -17, 28, -8, 33, 22, -27, 11, 20],\n [0, -24, 10, -6, 23, 8, -27, 4, -14, 10, -9, -26],\n [0, 0,... | 7491 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[35, 0, 6, -10, 22, -4, -3, 26, 2, 12, 6, 13],\n [0, -12, 16, 4, 0, -18, 7, -27, 2, -15, 35, -12],\n [6, 16,... | -1021 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[31, -2, -8, -22, 31, -20, -25, -29, -34, 8, -1, -27],\n [0, 12, -23, -33, 11, -18, -35, 19, -35, -2, 7, 10],\n [0, 0, -5, 4, 17, 28, -28, -19, -12, -4, 35, -13],\n ... | 33952 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[27, 24, 28, 20, -5, 22, 34, 32, 18, -12, 10, -14],\n [0, 29, 14, -26, 30, -13, 13, -30, -... | -16657 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[22, 28, 34, -21, 29, -8, 6, -18, -24, -1, -24, 29],\n [19, 27, -11, -9, -23, -15, -29, -31, -27, 35, -34, -19],\n [5, -33... | 13 | MATH |
[
{
"content": "Find the value at position (12, 7) of the inverse of matrix 1/839 * A where A =\n[[-6, 24, 20, 34, -33, 7, 4, 20, 34, -9, -18, 20],\n [34, -3, 13, 32, -7, 25, 35, 4, 22, -16, 18, -3],\n [-26, -25, -1, 24, -1, -9, -22, 31, 21, -15, 20, 5],\n [-9, -34, 6, 17, -16, 13, 8, -12, -22, 15, -9, 8],\n [-14... | 7 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[-28, -15, 26, 7, -10, 4, 4, 1, 8, 12, 24, 3],\n [-15, 11, 0, 25, -6, 3, 26, -23, -14, 2, -32, 10],\n [26, 0... | 144 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-18, -34, -4, 22, -4, 29, 24, 9, -20, -4, 29, 21],\n [-1, -19, -14, 29, 12, 3, 31, -32, -16, -8, -35, 35],\n [26, 2, 15, 14, 35, -16, -20, -15,... | -209 | MATH |
[
{
"content": "Find the value at position (10, 10) of the inverse of matrix 1/839 * A where A =\n[[-33, 15, -22, 24, -29, -12, 29, -32, -8, 14, 24, -3],\n [-14, 32, 28, 29, -7, -29, -23, 24, -25, -21, 7, 10],\n [33, -18, 29, -34, -33, 3, 28, -2, -7, -16, 35, -20],\n [-2, -13, 7, 0, -25, -34, 34, 11, -23, 6, 23, ... | 120 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[-14, -13, 1, 14, 23, 12, -35, 7, -27, 11, -6, -4],\n [0, 20, -4, -22, -29, 25, -26, -10, 5, 19, -12, -27],\n [0, 0, -28, 14, 3, -9, 8, 6, -33, 5, 17, -10],\n [0, 0, 0, 17, -11, 6, 15, 12, 11, 12, 31, 13],\n [0, 0, 0, 0, 16... | -58660 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (10, 9) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-27, 0, 27, 7, 0, -8, 25, -30, 7, -26, 25, 15],\n [-17, 30, 21, 7, 22, 8, -15, -5, 14, -21, -22, -16],\n [10, 13, ... | -3 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-33, -33, -26, 16, -11, -13, -25, -14, 17, -9, 31, 11],\n [0, -6, 10, -6, 23, -35, 0, -24, -16, -34, 25, -4],\n [0, 0, 20, -12, 6, -33, 32, 32, 35, -25, -15, 3],\n [0, 0, 0, -18, 32, 34, -20... | -193975 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[34, -15, -5, -29, -8, 32, 29, -27, -29, 19, 34, 32],\n [0, -6, 10, -4, -13, -23, 6, -35, -22, -20, 27, 13],\n [0, 0, 3, -... | 1595175 | MATH |
[
{
"content": "Find the inverse of 1/839 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, -14, 15, 4, -11, -4, -2, -4, -10, 0, 12, 12],\n [-14, -32, 11, 24, -2, -28, 9, 0, 5, -8, 20, 2],\n [15, 11, -11, -27, 26... | -36 | MATH |
[
{
"content": "Find the inverse of 1/839 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[[-32, -24, -25, -32, 16, 32, 21, 12, -19, -1, 2, 31],\n [-24, 23, 2, -25, 10, 30, 11, -2, 23, 33, -17, -16],\n [-34, 24, -5, 1... | 55 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[15, -13, -14, -15, 1, -33, -14, 6, -16, 22, 30, -32],\n [0, -8, 11, 21, 27, -30, 24, -5, 32, -13, -33, -32],\n [0, 0, 26, 5, 14, -5, -23, -30, -16, 6, -20, -33],\n [0, 0, 0, -10, -7, 2, -29, -23, 3, -35, -4, -19],\n [0, 0,... | -4674 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-33, -8, -32, 2, 13, 12, 0, 16, 10, 18, -8, 24],\n [-8, -25, 9, 2, 15, 2, -14, 16, -26, 8, -26, 18],\n [-32, 9, -26, 0, -28, -7, 2, -20, -15, 2, -19, -27],\n [2, 2,... | 1088 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-11, 6, 12, 17, -12, 11, 21, -15, -7, 2, -35, -32],\n [0, 12, 22, -27, 16, -14, 3, 29, -2, -10, -31, -26],\n [0, 0, -26, -30, 20, -34, -22, -18, -9, -31, 18, 17],\n [0, 0, 0, -17, 8, -3, 27,... | 981 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[8, -27, -3, -28, -27, 14, -32, -9, 10, 24, 28, 10],\n [0, 33, 18, -24, -18, -26, -16, -2, -32, 4, 11, 29],\n [0, 0, 35, 23, -24, 24, -8, -21, 13, -33, -17, -11],\n ... | 19733 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-25, 1, -10, 18, -9, -16, -31, -9, -10, -21, -11, -18],\n [-13, 10, -5, 19, 29, -9, -21, 29, -22, 28, 10, -34],\n [0, 5, -16, -17, 12, -25, 26, 26, 29, -21, ... | 991 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[-29, 16, -22, 17, -18, -21, -9, 15, 29, 23, 22, -14],\n [-10, 25, 9, 25, 9, -10, -20, -25, 12, -24, 20, 19]... | -316 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-23, -20, 26, 14, 22, 25, -28, -20, 25, -20, 1, 17],\n [34, 22, -11, -35, -4, 9, 14, -23, -12, -6, 7, 26],\n [19, -15, 8, -13, -22, 20, -3, 23, -33, 33, -28, 14],\n [35, 23, -1, -26, ... | 102 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[20, 3, -28, 9, -21, 0, -11, 28, 5, 1, 6, 22],\n [0, -18, 18, 35, 4, -18, -34, -29, 1, 2, -26, 29],\n [0, 0, 29, 0, 5, -2, 35, -13, -18, 29, -25, -16],\n [0, 0, 0, -9, 32... | -1110 | MATH |
[
{
"content": "Find the inverse of 1/839 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, -28, 19, 12, -12, 2, 2, 0, -4, 2, 0, 18],\n [-28, -35, 12, 10, 19, 12, -16, 0, -10, -2, -18, -6],\n [19, 12, 0, 4, 12, -4,... | 76 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (9, 10) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[28, -18, -21, 17, 7, 12, -28, 29, -24, -20, -2, -20],\n [0, -15, 28, 2, 21, -20, 13, -1, -11, 8, -12, -32],\n [0, ... | -19320 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[31, -34, -2, 22, 10, -23, -26, 23, 17, 3, 9, -14],\n [-34, 9, 9, 0, 0, 20, 23, 9, -13, 0, -18, 0],\n [-2, 9, 14, -18, 18, 17, -2, -2, -24, -5, 13, 24],\n [22, 0, -18, -21, -7, -30, -13, 6, 6, 14, 12, -16],\n [10, 0, 18, -7... | 3125 | MATH |
[
{
"content": "Find the value at position (4, 3) of the inverse of matrix 1/839 * A where A =\n[[-18, -20, -7, -33, 10, 16, -16, 2, -24, -1, -18, -16],\n [-30, 17, 11, 35, -32, -8, 28, -13, 32, -4, 13, -26],\n [3, -3, -19, -14, -1, 8, 22, -18, 13, 8, 21, 1],\n [32, -27, -35, -24, -32, 32, -22, 22, -18, 22, -10, ... | 8 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (11, 11) of the inverse. Round your answer to the nearest integer:\n[[13, -25, 6, -10, -30, -10, 16, -9, 26, -20, 17, -4],\n [-25, -16, -28, 14, 32, -1, -13, 16, -17, -30, -18, -10],\n [6, -28, -35, -8, -15, 24, -6, 6, ... | 29 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[33, 9, 6, 6, 2, 3, -9, -3, 1, 14, -20, -26],\n [9, 21, -6, -22, -4, -16, 13, 20, 0, -20, ... | -167 | MATH |
[
{
"content": "Find the inverse of 1/839 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, 14, -6, -22, -21, 29, -19, 15, -22, 17, 13, 13],\n [16, 10, 34, 19, 15, -15, -23, 3, -34, -9, -19, 8],\n [-11, -2, 3, -23, -35, -26, ... | 7998 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-7, -8, 13, -6, -8, 3, 2, 6, 20, 1, 5, -11],\n [-8, -7, -3, 16, -6, -4, -14, -2, -10, 9, 12, 2],\n [13, -3, -2, 14, 4, -4, -2, 8, -33, 20, -4, 16],\n [-6, 16, 14, 2, -2, 2, -14, 24, -... | 88 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (1, 5) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[35, -7, 29, -9, -9, -34, 12, -19, 3, 3, -28, 10],\n [0, 29, -7, -5, 35, 15, 22, -15, -10, 27, 25, 24],\n [0, 0, 33,... | -13 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-27, -30, -8, -29, 13, -9, -20, -18, -35, 8, -18, -20],\n [-16, -4, -2, -2, -35, -35, -23, 24, -8, -28, 31, -33],\n [-34,... | 181 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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, -33, 26, 32, -17, -25, 31, 21, -13, -32, -4, -31],\n [0, 10, 31, 25, -11, 22, -20, 31, 0, -5, -29, -31],\n [0, 0, 34... | 1003771 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[19, -2, 16, 14, -9, 14, -6, 18, 0, -6, 20, 4],\n [-2, 27, 16, -10, 1, 4, -10, 19, -6, 6, -6, -26],\n [16, 16, 8, 6, -4, 6, -18, -4, 1, 12, 6, 5],\n [14, -10, 6, -12, -3, -20, 26, -2, -4, 12, 4, 10],\n [-9, 1,... | 16 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[21, 10, 19, -4, -17, -28, 1, 22, 1, -6, -24, 22],\n [-14, -13, 30, 0, 16, 23, 24, 28, -4, 13, 30, -32],\n [... | -34 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[7, -31, -22, -29, 17, -33, -23, -33, 22, -1, 21, 32],\n [0, -34, -24, -34, 3, 19, 15, 28, 0, -13, 35, 26],\n [0, 0, -1, 31, 17, 0, -1, -23, -12... | -234 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-5, -31, 32, 19, 30, 28, 13, 26, 29, -15, -28, -30],\n [7, 18, -18, 1, -29, 4, -2, 3, 32, 24, 11, -20],\n [15, -29, -30, -9, -26, 25, -15, 28, -17, -6, 34, 21],\n [-6, 8... | 56 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (2, 5) of the inverse. Round your answer to the nearest integer:\n[[11, -30, 4, 22, -16, 10, -5, -32, 11, -16, -30, 20],\n [-30, -18, 0, 24, -26, -2, 8, -2, -4, 5, -32, 2],\n [4, 0, 17, 14, 29, -30, 15, -14, -3, -6, -12... | -6 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-10, -24, 19, -27, 6, 8, -16, 10, 24, -5, -20, 8],\n [-24, 5, 7, 24, 24, -2, 4, 7, -2, 22, 21, -14],\n [19, 7, 12, -7, -14, 14, -7, 6, 4, -8, 0, -12],\n [-27, 24, -7, 31, -32, -14, -11, -4, ... | 70 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value of the entry with the largest absolute value of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-2, 32, 22, -30, -3, -17, -21, 3, 8, 24, 10, 35],\n [0, -2, 31, 22, -24, 5, -16, -11, -17... | -156 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[-14, 6, 22, 23, -14, -18, 0, -10, -24, 8, -6, -6],\n [6, 9, -32, -12, 14, -4, 6, 12, 6, -8, -32, 20],\n [22, -32, -35, 5, -4, -28, -16, 14, 8, 24, 4, -17],\n [23, -12, 5, -8, 5, 26, -4, 2, -6, 26, 8, -1]... | 1643 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (11, 12) of the inverse. Round your answer to the nearest integer:\n[[-15, 26, 5, -20, -16, -33, -20, -18, -16, -6, -20, -12],\n [-35, 3, 4, -1, 27, 1, -23, 33, 12, 16, 28, -28],\n [-22, 23, -32, -23, -34, -9, 3, -19, 2... | -24 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (1, 1) of the inverse. Round your answer to the nearest integer:\n[[-8, -33, 14, 1, -23, -3, 17, 24, 15, -20, -21, -24],\n [-16, 31, -26, 35, -26, -33, -17, 26, -13, -29, -34, -32],\n [35, 19, -10, 19, 30, -12, 8, 8, 33... | -12 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[14, 17, 19, 5, 20, -13, 0, 28, -14, 21, -31, 18],\n [4, 3, -7, 18, 8, 8, -17, 19, -5, 32, 25, 6],\n [-32, 15, -6, -10, 13, -4, 4, -6, -31, -34, -2, -5],\n [-6, -10, 18, -27, -22, -5, ... | -343 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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, -8, 11, -8, -6, -16, 2, -2, 5, -32, -12, 28],\n [-8, -17, -10, -13, -4, 4, 28, -11, 2... | 57 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[25, -30, 5, -19, -26, 34, 27, 9, -24, 13, -34, -19],\n [23, -29, -16, 24, 25, 25, -20, -19, -15, 7, -35, -25],\n [-5, 29, 6, -4, -29, -3, -23, -29, 4, 33, -29, -33],\n [-19, -25, -34,... | 66 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 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[[4, 14, -27, -3, 16, 9, -33, -34, -32, 21, 25, -25],\n [-15, 18, -1, 6, -27, -22, -34, 25, -21, -25, 21, 31]... | 172 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[-1, 10, 6, -32, 21, -8, -24, -22, 7, 15, -17, 3],\n [10, 0, -22, -10, -4, -6, 3, -1, -1, 10, 23, -10],\n [6, -22, -6, -12, -6, 6, -16, 22, -30, 5, 28, -2],\n [-32, -10, -12, 23, -4, 17, -18, 6, 6, -16, -24, 2... | 211 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (6, 2) of the inverse. Round your answer to the nearest integer:\n[[-22, -7, -32, 13, 0, -25, -24, -32, 25, -21, -25, -2],\n [-33, 3, -4, -15, -1, -21, -15, -34, -17, -20, 2, 11],\n [-1, 33, 9, -30, -22, 15, -13, 28, -3... | 89 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[15, 23, -13, 1, 4, 31, 18, 11, -27, 10, -13, 15],\n [-21, -24, 1, 17, -23, -31, -17, 14, 21, 34, 13, 10],\n [-2, -15, 2, -33, 24, 30, -28,... | 5088 | MATH |
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