messages listlengths 1 1 | ground_truth stringlengths 1 9 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[2, -6, 26, -12, -10, 18, 17, -10, -2, 11, 3, 6],\n [-6, -11, 30, 28, -15, 4, 32, -20, 29, 21, -1, -14],\n [26, 30, 15, -3, -17, -34, 6, 16, -22, 27, 28, -8],\n [-12, 28, -3, -34, -4, 17, 7, -34, 4, -22, ... | 2225 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (2, 6) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-23, -18, 21, -28, 6, -28, 24, 22, -12, 8, 27, 15],\n [0, 4, -3, -15, -3, 19, 29, 21, 34, -22, -11, 3],\n [0, 0, 20... | -393 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[-6, 4, -10, 10, -24, -10, -12, -4, -28, 21, 6, 13],\n [4, -30, -8, -6, 12, 21, -6, 0, 5, 13, 12, -9],\n [-10, -8, 19, 7, 16, -6, -12, 10, 7, 20, 14, 0],\n [10, -6, 7, 18, 25, -8, 8, 20, -4, -22, -8, 12],\n [-24, 12, 16, 25... | 160 | 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[[21, 8, 17, -18, 22, 8, -14, 15, 8, 12, 3, -16],\n [8, -14, 3, -2, -11, 20, 6, 10, 18, -26, -19, 10],\n... | 5233 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[8, -7, -29, -11, -28, -33, -5, 32, -4, -29, -22, -2],\n [33, -24, 1, -9, -2, 6, 28, 12, -19, -15, -21, -10],\n [-3, -24, -14, 9, -29, 27, -8, 4, 25, 14, -26, -11],\n [-24, -35, 2, 1, 23, -24, 1, -24, 20, 3, 20, 20],\n [-4,... | -184 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (7, 4) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-13, 32, -8, -11, 14, 29, -14, 11, 2, -2, -18, -8],\n [32, -14, 0, -9, 0, -14, -30, 22, 6, -8, -14, -24],\n [-8, 0,... | -15 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (12, 6) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[10, 4, 8, -20, 2, 3, 12, -12, 4, 14, -16, 16],\n [4, 26, 9, -11, -13, -2, -15, -7, -4, 14, 23, 0],\n [8, 9, -4, -1... | -40 | 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[[1, -15, 33, 6, 27, -34, 15, -18, -1, -26, 3, -4],\n [1, 29, -19, 0, -9, 12, 3, 29, 2, 26, -22, 32],\n [11, 7, -34, 2, 23, 12, -23, 8, -17, -24, 24, -5]... | -27 | 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[[0, -6, -3, -2, -22, 4, 18, 27, 20, -3, 32, -2],\n [-6, 23, 1, 22, 6, -12, 17, -22, -19, 12, 0, -4],\n [-3, 1, -15, 4, -6, 14, 4, 2, -13, -4, 0, -10],\n [-2, 22, 4, 6, 15... | 22 | 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[[20, -3, -16, -30, -35, -27, 19, -4, -18, 1, 27, -17],\n [-31, 20, -24, 29, 34, -28, -31, -8, 24, 35, -19, 15],\n [19, 28, -5, 23, 35, 15, 31, -18, -9, -4, 10, 0],\n [-24, 23, 6, 31, -... | -383 | 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, -35, -11, -6, 6, -21, 30, -21, -26, 21, -10, -2],\n [0, 22, 29, -21, 32, 31, 6, -34,... | 2616 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (6, 1) of the inverse. Round your answer to the nearest integer:\n[[29, -31, -31, -2, -35, 26, -26, 2, -28, -11, 14, 25],\n [1, -5, 6, -12, 31, 26, -30, 35, 15, -21, -2, 28],\n [10, -11, 2, 26, 30, -13, -3, 26, -9, 25, ... | -2 | 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[[-25, 0, -6, 10, 16, -13, -30, -6, 2, 14, -26, 12],\n [0, 30, -10, -11, 11, 5, -18, -12, -26, -26, 23, 10],\n [-6, -10, 18, 9, -12, -10, 18, 2, -4, 8, -... | -74 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (1, 2) rounded to the nearest integer?\n[[-12, -10, 10, 23, 12, -2, -8, 10, 4, 1, 4, 24],\n [-10, 0, -5, 15, 1, -19, -24, 0, -4, -21, -23, -8],\n [10, -5, -33, 10, 8, -11, -8, 6, 9, 18, 24, 20],\n [23, 15, 10, 29, 2, -1... | -30 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[12, 25, 27, 21, 1, -32, 32, 21, 26, -20, 3, 27],\n [-20, 11, -13, 16, 22, 30, 21, 2, -31, 11, -22, 12],\n [5, 15, 1, -15, -28, -27, -24, -11, -15, 10, -10, 32],\n [-11, 4, -4, 26, -7, -17, 14, 34, -16, -27, -... | -10 | 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, -2, -21, 2, -26, 4, -20, -10, -23, -20, -6, 8],\n [-2, 20, -1, -4, -2, -18, 12, 1, 12, -28, 10, -9],\n [-21, -1, 24, -2, -24, 0, -4, 12, 11... | -856 | 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[[-4, 30, -34, -14, 7, -4, 14, -16, -8, 10, -12, 30],\n [30, -16, 6, -10, 1, 22, 9, 12, 2, -24, -6, 24],\n [-34, 6, -30, -2... | -1164 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (5, 2) rounded to the nearest integer?\n[[-11, 14, -28, -2, 20, 16, -13, 16, -20, -2, 20, -8],\n [14, 4, -23, 5, -8, 12, -22, 32, 28, 4, 2, 16],\n [-28, -23, 2, -2, -4, 22, -10, 14, -10, 24, 14, 26],\n [-2, 5, -2, -20, ... | -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[[8, 0, 23, -6, -20, -27, 10, -31, -18, 8, 3, 30],\n [0, 31, 11, 17, 15, 9, 12, -14, -24, 19, 9, 27],\n [0, 0, -21, -19, 25, -10, -7, -32, -9, 6, -12, -17],\n [0, 0, 0, 28, -24, -7, -7, -6, 33... | 336020 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (2, 3) of the inverse. Round your answer to the nearest integer:\n[[27, 12, 9, 13, -5, -7, -11, -30, 1, -19, -5, 22],\n [0, -34, -29, -14, -32, 9, -26, -12, 21, -32, 12, 22],\n [0, 0, 4, 12, 17, -30, -22, 26, 0, -15, -1... | -179 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[8, -26, 11, 24, 13, 21, 26, -20, 3, 14, -4, 12],\n [-26, 11, -12, 29, -20, -4, 14, 10, 8, 16, 15, 22],\n [11, -12, 6, -8, -3, -18, -3, 20, 9, -15, 20, 15],\n [24, 29, -8, 13, -8, -11, -22, 28, 21, -2, -10, -4... | 242 | 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[[-16, 0, 26, -12, -27, 22, 13, 17, -25, -30, 23, 15],\n [0, 11, 9, 13, 4, -27, -28, 13, 16, -10, -24, 28],\n... | -1034 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (9, 7) of the inverse. Round your answer to the nearest integer:\n[[26, -13, -32, -5, -28, -11, 18, -25, 9, 9, 24, 28],\n [7, 28, 11, 25, 12, -28, -2, -28, 16, -28, 26, 29],\n [-22, 33, 12, -24, 28, -6, -28, 30, 33, -1,... | -9 | 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[[9, 6, 23, 13, -13, -20, 11, 6, -11, 33, 7, -30],\n [-22, -10, -22, 20, -7, 21, 35, -31, 13, 25, 13, 13],\n [33, 32, -19, ... | -33 | 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[[24, -20, 10, 30, -13, -2, 28, 28, -8, -31, -1, -27],\n [0, 5, 24, -29, 26, -10, 3, -6, -34, 2, 33, 34],\n [0, 0, -7, -6, 8, -1, -10, 17, 17, -29, -23, 25],\n [0, 0, 0, -... | 490 | 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[[-29, -33, -10, -29, 4, 10, -9, 35, 2, -16, 17, 18],\n [0, 33, 4, 17, 11, 18, -3, 29, 33, ... | -25199 | MATH |
[
{
"content": "Find the value at position (3, 6) of the inverse of matrix 1/839 * A where A =\n[[-21, -4, 20, 20, 30, 31, -11, -9, -27, 25, 0, -25],\n [0, -29, -23, 35, 11, -30, -32, 7, -11, -11, 5, -24],\n [0, 0, 20, 14, 8, -30, -5, 12, -30, 1, -15, 16],\n [0, 0, 0, -15, -9, -8, -32, 5, 17, 12, 3, 32],\n [0, 0,... | -227 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-15, -26, -26, 26, 29, 31, -24, -17, 7, -28, 16, -34],\n [3, 18, 4, -7, -21, -10, 12, 5, 32, -3, -24, 14],\n [17, 14, -6, -5, -34, 30, 17, 31, 20, -3, -5, 32],\n [-13, 9, -1, 29, -33, -26, -... | 90 | 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[[11, 7, 0, -19, 0, 1, -18, -5, -8, 29, -5, -9],\n [0, -24, -9, 25, -11, -26, -21, -17, 32, -21, -21, 15],\n [0, 0, -23, 34, 21, 18, 4, -5, 17, -23, -12, 20],\n [0, 0, 0, ... | -1190 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (5, 8) of the inverse. Round your answer to the nearest integer:\n[[8, 20, -22, 11, 23, 24, -3, 20, -34, -34, 24, -16],\n [0, -6, 0, 31, 21, -19, -12, 32, -3, 21, 9, 18],\n [0, 0, -28, 24, -21, -5, 28, -31, 6, -7, -22, ... | -55 | 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, 0, 10, -11, 2, -18, 3, 14, -29, 18, 20, 0],\n [0, -14, 19, 2, 20, -11, 4, -1, -29, 2, 17, 14],\n [10, 19, 9, 14, 0, 9, -10, 18, -12, -8, -2... | 16408 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (5, 12) of the inverse. Round your answer to the nearest integer:\n[[35, -30, -6, 1, 16, 16, 26, 12, 12, 14, 6, 12],\n [-30, 29, -18, -10, -14, 6, 1, 6, 16, 5, -2, -3],\n [-6, -18, 30, 2, 14, 4, -22, -10, -27, -3, -20, ... | 14 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-9, 5, 16, 16, 0, 14, -15, 11, -16, -4, -30, -2],\n [0, -2, -20, 8, -1, 23, 22, -9, 5, -6, -3, 12],\n [0, 0, -4, 0, -29, -11, -25, -33, 33, 19, 8, 8],\n [0, 0, 0, 31, 7, 22, 21, -20, 24, 19,... | 52404 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (10, 4) of the inverse. Round your answer to the nearest integer:\n[[-8, -35, 25, -33, 12, -22, -22, 6, 13, 4, -13, 30],\n [0, 27, -14, 19, -19, 19, 21, 20, 3, -34, 24, -6],\n [0, 0, -15, 34, -23, -26, -23, 34, 27, -8, ... | 0 | 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[[-28, 18, -34, -32, 10, -3, -26, 25, 21, 16, 16, -4],\n [0, -8, -10, 3, -18, -25, 26, -34,... | -32334 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (7, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[16, -35, -3, -19, -4, 4, 6, -5, 3, -9, 17, 12],\n [0, 21, -30, 5, -32, -27, 31, -9, 31, 10, 17, 20],\n [0, 0, -22, ... | 0 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (12, 2) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[17, 13, 4, -12, 34, 30, -2, -18, -12, -35, 9, -11],\n [-26, 5, -29, 15, -10, -4, 14, 4, -3, -21, -13, -23],\n [-14... | -137 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-12, 32, -1, 0, 30, 4, 34, -29, 16, 7, -31, -12],\n [6, -2, -10, 0, -19, 33, -30, -2, 17, 1, -16, 22],\n [23, -25, 4, 20, -15, 33, 10, 31, -4, -32, -10, -5],\n [25, -19, 17, 10, -28, -6, -18... | 126 | 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[[18, 26, 12, -16, 1, -22, 12, -14, -12, 15, -2, -2],\n [26, 35, -1, -28, 7, 8, 14, 6, 3, -8, 17, 10],\n [12, -1, 29, -10, 0, -18, 8, 18, -14, 4, -4, -24],\n [-16, -2... | 4635 | 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, -2, -2, 10, -6, -18, -34, 19, 0, 30, 9, -11],\n [0, 23, 29, -4, -26, 17, -28, 28, -3, -20, -1, -27],\n [0, 0, 20, 7, 0, 35, -9, -28, -15, -23, -34, -32],\n [0,... | 8640 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (8, 12) of the inverse. Round your answer to the nearest integer:\n[[2, -11, -6, -9, 24, 20, -25, -11, -14, -7, 20, 10],\n [0, -30, 9, -13, -3, 22, -32, -6, -8, -33, 11, -16],\n [0, 0, -16, 20, -23, -6, -20, 24, -25, -8... | -351 | 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[[1, 9, -25, 29, -1, -4, 14, -3, 33, -3, 30, -3],\n [0, -23, -29, -1, -17, -2, -10, 34, 17, 18, -13, 27]... | 975933 | 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, -27, 12, -13, -3, -3, 33, 27, 17, -15, 28, -4],\n [0, 5, 10, -14, -18, -11, 31, -17, -15, 14, -12, 25],\n [0, 0, 14, 21, 33, -22, -12, -26, 33, 9, 18, -25],\n [0, 0, ... | 945 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[13, -2, 17, 24, 30, -8, 20, 16, -25, 7, 12, 22],\n [0, -22, 18, -34, 6, -29, -27, -3, 32, 28, 27, -28],\n [0, 0, -24, 22, 13, 8, -25, -20, 30, 2, 7, 31],\n [0, 0, 0, -5, -12, 29, 20, 27, -10... | 37310 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[-9, -16, -5, -34, 25, 23, -5, 20, 33, 0, -6, -13],\n [3, 34, 1, 30, 23, 33, -22, 15, -26, 13, 17, 17],\n [10, 23, 29, 18, 22, 3, 21, 33, -12, 15, -35, -25],\n [35, 35, -31, 23, -24, 16, 29, ... | 40 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[17, -9, -21, -34, -21, 8, 8, -25, 31, -2, 16, 32],\n [0, 12, -21, -25, 6, 13, -21, -25, 13, -26, -20, -25],\n [0, 0, 13, -15, -23, -12, 14, 14, 32, 35, -18, 27],\n [0, 0, 0, -19, -28, -33, 3, -5, 27, 12, 22, ... | 431 | 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[[-14, 17, -31, 26, -22, -28, -1, 31, -20, 25, 34, 1],\n [0, 29, 19, -5, -24, 27, -14, -32,... | 28093 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[0, -24, 22, 31, -17, 3, 22, -26, -18, 11, 15, 3],\n [29, 0, 33, -31, -33, 4, 15, -19, -25, 10, 27, 0],\n [-17, 5, -34, -9, -8, 25, 1, -1, -17, 23, 17, 31],\n [-18, -1, 14, 4, 21, 6, -1, 31, 24, -12, -35, 14],... | 71 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[29, 23, -25, 10, 35, -30, -29, 25, 24, -5, -13, -35],\n [5, 0, 21, -1, 14, 17, 31, 16, 6, -15, -6, 27],\n [2, 6, -10, -30, -29, -16, -30, 14, -9, 12, -3, 18],\n [-35, -10, 28, 24, -21, -14, -10, -27, -3, 24, ... | -242 | 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[[-22, -30, -22, -17, -35, 26, -7, 4, -29, 8, 34, -23],\n [0, -14, -31, -27, 34, 17, 33, -5, 10, -33, -18, 19],\n [0, 0, -22, -18, 25, 32, 4, 25, 8, 2, 5, -33],\n [0,... | 6759 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[2, 4, 10, -8, -18, -16, -16, 10, -5, -6, -12, 4],\n [4, -16, -13, 2, 16, -27, 23, 7, -26, 6, 6, -10],\n [10, -13, -9, 2, -4, -2, 8, -4, -13, -10, 26, 6],\n [-8, 2, 2, 9, -12, 0, 13, -1, 4, 2... | -108 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[17, -30, 2, 30, -29, -4, 11, -5, 1, 18, -16, 35],\n [0, -2, -14, 34, 18, 6, 10, -8, 13, -9, 3, 20],\n [0, 0, 1, -12, -12, -6, -9, -6, -32, -9, 31, -30],\n [0, 0, 0, 31, -21, 13, -1, -19, 34, -21, -24, -3],\n ... | 317 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (11, 9) rounded to the nearest integer?\n[[14, -27, 25, 12, -22, -9, -10, -21, -25, -22, -32, 23],\n [0, 14, -4, 23, 31, 1, 13, -13, 0, 14, -35, 14],\n [-22, 22, -21, 23, -34, 27, -26, -8, 22, 0, -1, 16],\n [29, 32, 24,... | 396 | 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[[7, -5, -18, 26, -2, 24, -12, -16, -8, 31, 8, 16],\n [-5, 23, 23, -18, -12, 16, 27, -10, 7, -20, -10, 24],\n... | 85 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[15, -26, 2, -19, -3, -23, 8, 11, 0, 16, 18, 6],\n [-26, -25, 10, 22, -4, -9, -25, -26, -6, -6, -16, -7],\n [2, 10, -8, -9, -3, -16, 4, 10, -12, -18, 3, 14],\n [-19, 22, -9, -20, -14, -2, -6, -8, 10, 6, 5, 2],\n [-3, -4, -3... | -364 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[11, -7, -15, -11, 17, 20, 25, -4, -28, -34, -9, 0],\n [0, 5, -23, -30, 23, -16, -17, -24, -33, -31, 33, 7],\n [0, 0, -29, -1, 17, -19, 35, -16, -2, -6, 4, -23],\n [0, 0, 0, -18, -10, -2, -15, -8, -31, -28, -2, 19],\n [0, 0... | -80847 | 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[[-16, 16, -8, -2, 7, 22, 13, 24, -16, -16, 8, 8],\n [16, -30, 6, 20, -12, 6, -14, 30, 9, 8, 12, 2],\n [-8, 6, 7, -12, -21, 9, -3, -6, -6, 27, -22, 14],\n [-2, 20, -12, -1... | -3079 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[9, 1, -9, 10, -28, -24, 29, 28, -4, 10, 30, 0],\n [10, -14, -20, -8, 12, 0, 3, 0, 22, 12, 5, 15],\n [0, 13, 22, -8, -20, -13, 32, 2, -9, -6, 28, -14],\n [34, -14, 27, -12, 14, -6, -29, 22, -4, -1, -14, -... | 1449 | 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[[32, 14, 7, -16, -14, 17, -1, 9, -31, -32, -21, 33],\n [0, 11, -24, 2, 3, 9, 14, -1, 25, -31, 9, 2],\n [0, 0... | 626 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (12, 10) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-32, -25, 22, 3, -22, -4, -9, 10, -34, 27, 9, 2],\n [-33, 3, 34, 21, -15, 33, 25, -10, 9, -21, 32, 9],\n [-11, -2... | 8 | 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[[30, 9, -35, -17, 19, 11, -13, 2, -20, -22, 32, -30],\n [-32, 33, -1, -10, -27, 13, 33, -11, 9, -6, 24, -4],\n [-5, 14, 25... | -188 | 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[[9, 14, 30, -3, 13, -19, 5, -17, -25, 24, -15, 8],\n [0, -23, 10, 17, 21, 19, -25, -21, 4, -21, -23, -7],\n [0, 0, 23, 12, 22, 6, -26, -20,... | 33930 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[13, -2, 23, -7, -11, 24, 34, -9, 32, 32, 7, 1],\n [14, -8, 0, 31, 24, -19, 26, 11, 13, -13, 33, 25],\n [3, -13, 13, 28, -13, -20, -3, 15, 14, 30, -6, -1],\n [23, -9, 0, -6, 18, 0, 25, -3, 29... | 29 | 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[[-15, 30, -17, -16, -33, -1, -21, -18, -14, 21, 23, 23],\n [0, -25, -34, -26, -19, 11, 31, 2, 15, -14, 23, -26],\n [0, 0, -5, ... | 35060 | 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[[-12, -10, -28, 34, -2, 16, 8, 30, -11, 12, -27, -20],\n [0, -11, 8, -32, 8, 0, 5, -19, 33, -17, -20, 25],\n [0, 0, -31, 28, -19, 25, 18, 7... | 39932 | 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[[19, -16, -13, -26, 12, 9, -2, 25, 28, 7, 28, 4],\n [0, -14, -19, 6, -29, 28, 16, -11, 22, -14, 19, 14],\n [0, 0, 7, -1, 22, -6, 13, 33, 3, 25, 34, 3],\n [0, 0, 0, -... | 18558 | 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[[16, -15, 4, -20, -16, -31, -21, 4, 8, 21, 4, 27],\n [0, 4, -15, 30, -17, -22, -16, 21, -16, -5, -7, 20],\n [0, 0, -27, 25, 22, 34, -35, 30, 9, 5, -11, ... | 509940 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/839 * A where A =\n[[-14, -11, -32, -1, -16, 12, 16, 2, 12, 9, -3, 23],\n [0, 8, -1, 22, -12, -5, -4, -3, -25, 11, 31, -28],\n [0, 0, -28, -10, -17, 23, -27, -29, 32, -30, 25, -20],\n [0, 0, 0, 30, -5, -7, 23, 35, -8, 24, -3... | 46462 | 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, -12, 4, -26, 14, -3, -6, 16, 8, 34, 0, -32],\n [-12, 11, -26, 0, -23, 16, 10, 12, 15, -4, -8, 6],\n [4, -26, -24, -7, 6, 8, -3, 11, -10, 1,... | -465 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (4, 9) of the inverse. Round your answer to the nearest integer:\n[[10, 11, 23, -24, 21, 29, -18, 32, 34, 22, 15, 26],\n [26, -1, -9, 20, -7, 7, -19, 1, 4, 21, -30, 23],\n [23, 35, 7, -21, -21, -26, 32, -3, -27, -9, 26,... | 19 | 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, 35, -9, -35, -14, -14, 17, 30, 34, 29, 19, 8],\n [1, 2, 32, -31, -13, 24, 6, -12, 6, ... | 50 | 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, 3, -17, -16, 32, -9, 29, 10, 28, 28, 21, 14],\n [-35, -33, -32, -9, 1, -13, -9, -34, -26, 8, -9, 1],\n [13, -7, -28, 24, 29, 18, -11, -29, -14, -21,... | -42 | 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[[-23, -33, -31, -21, -3, 5, -2, -19, 5, 22, -29, 8],\n [1, 8, 1, -21, -33, 30, 24, 27, -19, -6, 1, 8],\n [30, 5, 24, 34, -23, 20, -12, -33, 28, ... | -82 | 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[[-4, 30, 14, -23, -9, -10, 17, -2, 21, -24, 29, -27],\n [9, 8, 12, -17, 18, 0, -21, -27, -27, 10, -5, 19],\n [34, 22, -21, 4, -26, -35, -12, 28,... | -5 | 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[[26, -21, -9, -10, -11, -10, -24, 8, 22, -8, 6, 16],\n [-21, -17, 14, -22, -24, -6, 12, -20, 12, -1, -9, -3],\n [-9, 14, -23, 8, 0, 8, 17, 4, 18, 18, -29, 0],\n [-10, -22... | -117 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/839 times the following and determine the value at position (9, 8) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-34, 22, -3, 29, 27, -5, 32, -23, -9, 21, -22, 16],\n [0, -27, 3, -29, 21, 19, -29, -20, 11, 27, -3, -15],\n [0, 0,... | 0 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/839 * A where A =\n[[7, -30, -22, -4, 27, -27, 10, 31, -4, -35, -20, -4],\n [0, 11, -31, -22, 33, -25, -9, 3, -29, -34, 13, 6],\n [0, 0, -35, -7, 15, -1, -1, 1, 11, -18, -30, -8],\n [0, 0, 0, 35, 2, 19, 8, -13, ... | -493 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[17, -27, 21, -30, 12, 23, 31, -14, -15, -21, 13, 14],\n [11, 33, 5, -14, 26, -26, -17, 7, 29, -9, -28, 18],\n [-8, 8, -12, 29, -28, -34, -18, 25, 6, 4, -32, 28],\n [3, -26, -2, -9, 9, -26, 1, -33, -21, 26, -27, 31],\n [-32... | -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[[-23, -25, 21, 33, 29, -4, -23, -19, 30, -15, 34, 18],\n [-21, -21, -27, 35, -15, -27, 30, 35, -34, 20, -24, 20],\n [15, 34, 23, 35, -25, -33, -2, -17, -29, -25, 27, 31],\n [20, 7, 20, 9, 24,... | 242 | 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[[6, 18, -35, -15, 31, 11, 23, -35, -22, 4, 31, -27],\n [0, -11, 28, 24, -3, -31, 16, -3, -20, -33, -31, 26],\n [0, 0, -18, -24, 7, 14, 4, -... | 292528 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[34, 10, -4, 0, -6, -33, 1, -32, 32, 7, -29, 7],\n [0, 30, 10, 33, -33, -1, -21, -9, 33, 17, 31, 3],\n [0, 0, -32, -20, -29, -9, 31, -33, -4, 12, 32, -26],\n [0, 0, 0, 7, -14, 28, -6, 5, 3, -11, -25, -14],\n [... | 306 | 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[[28, 11, 6, -9, -13, 35, 9, -4, 3, 18, 8, 28],\n [0, -30, -28, 30, 4, 27, 6, 26, -29, -35, 7, -23],\n [... | 988350 | 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[[13, -30, -6, 9, -7, 16, -7, 32, -25, -16, 21, 8],\n [0, -3, 23, 32, 13, -21, -33, 31, -25, 19, -28, 1],\n [0, 0, -14, 22, 10, -13, -2, 14, 11, 13, -33,... | -43126 | 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[[-21, -33, -35, -23, 26, -33, -20, -4, -8, 12, 12, -9],\n [0, -1, -17, -19, -27, 10, -24, -3, -7, -23, 31, 22],\n [0, 0, -26, -5, 17, 8, -7, 13,... | -1482 | 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, 10, 3, 12, -4, 4, 1, 18, 12, 3, 2, 18],\n [10, 31, -11, -8, -16, 10, 14, -1, -24, -4, -34, -10],\n [3, -11, -17, -16,... | 56 | 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, -24, 29, -20, 19, 2, 7, -28, 17, 25, 34, 10],\n [-27, 31, -13, -5, -2, -1, 12, -15, 31, 2, 17, -1],\n [-22, 22, 32, 2, -21, 18, 29, -26, -25, 0, 21, 2],\n [32, 1, -18, 3, 0, 4, -29, -17... | -38 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/839 * A where A =\n[[14, -14, 0, -33, -9, -29, 1, 19, 8, 24, 23, 16],\n [-32, -34, -19, -6, 12, -34, 30, -9, -15, -31, 29, -11],\n [-11, 12, -25, -17, -18, -29, -32, -15, 5, -30, 27, -18],\n [-9, 10, 10, 9, 7, 14, -15, -3, -6, -35, 33, -3],\n ... | -16 | 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[[-21, 11, -1, 0, -10, 8, 9, 24, 18, 0, 6, -9],\n [11, 13, 10, -2, -4, -22, -22, -5, -8, 0, -22, 21],\n [-1, 10, -5, -12, 8, -2, 6, -20, -4, 0, 8, -20],\n [0, -2, -12... | 4929 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[10, 14, 8, 22, 8, -6, -2, -12, 24, 6, -11, 7],\n [14, -14, -12, 7, -7, -6, -17, 16, 5, -16, 24, 18],\n [8, -12, 35, 6, 30, 24, 8, 2, 21, 4, 16, 6],\n [22, 7, 6, -11, -7, -20, -20, -6, 18, 6, -18, -13],\n [8, ... | 35 | MATH |
[
{
"content": "Find the value at position (1, 5) of the inverse of matrix 1/839 * A where A =\n[[-18, -7, -26, 3, -33, 12, 6, 11, -10, -4, -9, 34],\n [0, -18, -14, 27, 14, -35, -33, 20, -29, -9, -21, -4],\n [0, 0, -4, 17, -8, 34, 0, 26, -26, -22, -11, 29],\n [0, 0, 0, -13, -34, -21, 8, 8, 27, 1, -31, -4],\n [0, ... | -731 | 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[[21, -16, 23, 32, -10, -23, -15, 19, 6, -13, 34, 8],\n [0, 29, 15, -9, 1, 4, -9, 29, 24, 20, 16, 17],\n [0, 0, -1, 13, -22, 23, -31, -4, -1... | 82821 | 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[[17, -28, 23, -17, 8, 8, -2, 17, -33, -34, 24, 10],\n [0, -29, 25, -1, -1, 33, 13, -34, -2, -23, 28, -1],\n [0, 0, 8, -29, 3, -23, -32, -17, -5, 7, 28, -34],\n [0, 0, 0, -21, 7, -22, -... | -1599 | 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[[0, -4, -14, 6, 6, -1, 4, 18, -6, 25, -5, -28],\n [-4, 12, 34, 14, 6, -20, -5, 26, -14, 12, 30, 2],\n [-14, 34, -31, 24, -12, 5, -6, 2, 12, -2, -3, -9],\n [6, 14, 24... | 16416 | MATH |
[
{
"content": "Find the inverse of 1/839 times the matrix and calculate the value at position (12, 5) of the inverse. Round your answer to the nearest integer:\n[[17, -30, -26, -20, -14, 30, 6, -31, 1, 15, -17, -32],\n [0, 19, -29, 25, 32, -10, 23, 3, -2, -11, 0, 30],\n [0, 0, -23, -19, 2, 7, 5, 35, -34, -35, -1... | 0 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/839 * A where A =\n[[22, -9, 12, 5, -25, 7, -33, 13, 13, 8, -30, 12],\n [0, -9, 14, -13, 30, -7, -22, -7, -31, 23, -18, 35],\n [0, 0, 8, 2, -33, -8, 18, 9, 7, -3, -23, 5],\n [0, 0, 0, 30, 8, 7, -32, -17, -2, 26, -31, -25],\n [0, ... | -729 | 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[[-2, -4, 25, -30, 26, -1, -25, -22, 9, -10, 4, -2],\n [0, -14, 5, 23, -4, -1, 34, -32, -28, 17, -5, -14... | 391537 | 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[[-3, 1, -19, -10, 7, 22, -27, -15, 29, 27, -9, 0],\n [23, 10, -6, -19, 16, 11, 1, -22, 0, ... | 77 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (6, 7) rounded to the nearest integer?\n[[12, 0, 12, -2, 20, -4, 8, 0, 10, 10, 32, 30],\n [0, 23, 0, -6, -14, -7, 14, 30, 14, 2, -12, 20],\n [12, 0, 16, -6, 20, 12, -17, 10, 20, -10, -2, 23],\n [-2, -6, -6, 5, 14, 8, -1... | 5 | 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[[-13, 33, -22, -21, -21, -1, -25, 1, -15, -21, 9, -28],\n [0, -4, 35, -11, 10, -26, 14, 20, -35, -27, 1... | 4010470 | MATH |
[
{
"content": "For the inverse of 1/839 times the matrix below, what is the value at position (2, 9) rounded to the nearest integer?\n[[18, -30, 34, 13, 23, 21, 25, 20, 5, -22, 1, 5],\n [0, 6, 0, 20, 35, -10, -22, 3, 24, -8, 8, 9],\n [0, 0, 34, 34, -33, -29, -2, 29, -9, 18, 7, -12],\n [0, 0, 0, 8, -21, 13, 7, -3... | -5632 | MATH |
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