messages listlengths 1 1 | ground_truth stringlengths 1 9 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-16, 3, 17, -11, 23, 6, -4, -9, 20, -26],\n [0, 8, -28, -14, -7, -7, -28, 14, -24, -6],\n [0, 0, -16, -2, 19, -2, -21, 1, -8, 8],\n [0, 0, 0, 9... | -135 | MATH |
[
{
"content": "Find the inverse of 1/600 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[[-11, 5, 9, 22, 3, 6, 22, -6, -12, 18],\n [5, -21, 0, -14, -4, 22, 24, -6, 0, 3],\n [9, 0, -30, 10, 12, 25, 17, 6, -8, 14],\n ... | 86 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[24, 8, 1, -8, 1, -12, 27, 10, 4, -4],\n [8, 19, 10, -16, -8, 0, -14, 1, -3, 0],\n [1, 10, 24, 7, -17, -7, -2, 4, 6, 27],\n [-8, -16, 7, 19, 10, -20, -18, 0, -4, -2],\n [... | 216 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-9, -23, -16, 18, -26, 21, -27, -20, -13, 11],\n [0, -1, -16, -25, 24, 22, -15, 16, 9, -22],\n [0, 0, 3, -4, -18, 5, -4, -22, -26, 20],\n [0, 0, 0, -1, -10, 4, -25,... | 3528850 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (5, 10) rounded to the nearest integer?\n[[16, 8, 8, -21, 5, -6, 29, 19, 28, 26],\n [-21, -12, 15, 14, -16, -15, -29, -2, -27, 22],\n [19, -2, 0, -14, -21, -4, 22, 10, -16, 29],\n [13, 0, -10, 29, 28, 27, 10, 15, 14, 29... | 14 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-2, 2, 8, -12, 8, 21, -4, 10, -6, 0],\n [2, 18, -26, -6, -25, -6, -8, -6, -2, 2],\n [8, -26, -13, 4, -2, -13, 0, -4, 15, -13],\n [-12, -6, 4, 3, 20, -16, 18, -16, -8, 18],\n [8, -25, -2, 20,... | -51 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[17, -11, -14, -2, 1, 0, 14, -3, -4, 12],\n [-11, 2, -23, -7, -22, -19, -10, 18, 1, -4],\n [-14, -23, -27, 4, 2, 20, -3, 8, 8, 0],\n [-2, -... | 667 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, -6, 8, 9, 6, 1, 4, -28, 7, -14],\n [-6, -4, 6, 8, 5, -10, 4, -5, 6, -4],\n [8, 6, 13,... | -41 | MATH |
[
{
"content": "Find the value at position (10, 7) of the inverse of matrix 1/600 * A where A =\n[[21, 4, 6, -12, -8, 18, -12, -6, -19, -6],\n [4, -6, 12, -20, 4, -10, 2, -12, -13, -10],\n [6, 12, -4, -21, 10, 2, 0, -6, -18, 2],\n [-12, -20, -21, -28, -6, -10, 8, 6, -7, -12],\n [-8, 4, 10, -6, 2, -17, -20, -2, -1... | 3 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-12, -19, 21, -9, 16, 6, 25, -1, 15, -19],\n [-2, -10, -20, 29, 6, 17, 27, -13, 13, 28],\n [-4, 6, 17, -19, -8, 3, 30, 7, -8, 22],\n [-6, -27, -1, -1, -18, 11, 18, -17, 25, 16],\n [-23, 24, ... | 127 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, -19, -4, -26, 6, -4, -8, 2, -27, 28],\n [-10, -7, 13, 0, 13, 17, -7, 18, 22, -21],\n... | 104 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[-9, -2, -4, -16, 12, -15, -24, -4, -4, -8],\n [-2, 14, 20, -19, -10, -11, -10, 4, 4, 8],\n [-4, 20, -20, -26, -10, -20, 22, -6, 8, -4],\n [-16, -19, -26, 19, 8, 2, -3, -10, -4, -21],\n [12, -10, -10, 8, -4, 7... | -178 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (5, 9) of the inverse. Round your answer to the nearest integer:\n[[18, -19, -4, -16, -20, -19, 10, 18, -10, 4],\n [-19, -13, 18, -16, 11, 14, 0, -18, -13, 0],\n [-4, 18, -7, 2, 0, 0, -20, -10, 22, 5],\n [-16, -16, 2, 2... | 3 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-23, -4, -21, -17, 15, 28, 21, 23, -20, -25],\n [0, 2, -12, 8, -7, -13, 4, 21, 12, 6],\n [0, 0, -7, 25, 3, -9, -27, 26, -21, -29],\n [0, 0... | 26637 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[7, 19, 7, 8, 25, 25, 17, 10, -5, 28],\n [-18, 13, 20, -5, 24, 24, -30, -23, -27, -10],\n [-9, 20, 22, 27, 6, 18, -28, -12, -30, -2],\n [-8, 2, 24, 21, ... | -79 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-14, 17, -23, 29, 18, 9, -14, -6, 10, -19],\n [0, -6, 20, 5, 22, 23, -6, -2, -20, 29],\n [0, 0, 15, 7, 30, -14, -29, -23, 5, -21],\n [0, 0, 0, -17, -15, -6, 10, -27... | 179384 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-22, -20, 25, -8, 17, 20, -29, -16, 4, 5],\n [0, 23, -3, 8, 13, -27, -21, -25, 26, -1],\n [0, 0, 4, 18, 12, -21, 27, 30, 22, 1],\n [0, 0, 0, 25, -5, -1... | -1983 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[21, 16, -13, 23, 13, 2, -24, 20, -3, -30],\n [25, 8, 3, 8, -12, 0, -18, 26, -7, -26],\n [-8, -12, -30, 2, 28, 19, 25, 2, 1, 28],\n [-3, 6, 10, -19, -22, 19, 24, -20, 2, -12],\n [23, 26, 11, 3, -24, 0, 21, -29, -12, 7],\n [... | -1253 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-7, 25, 18, -3, -30, -30, -3, 5, -11, 17],\n [-23, -30, -5, 20, 12, 18, -6, -21, -19, 10]... | 50 | MATH |
[
{
"content": "Find the value at position (6, 8) of the inverse of matrix 1/600 * A where A =\n[[9, -4, 12, -6, 10, -12, -19, 18, -22, -12],\n [-4, -14, 12, 8, -9, 9, -7, -21, 0, -24],\n [12, 12, 25, 19, -6, -26, -2, 4, 13, 8],\n [-6, 8, 19, 1, 22, -18, 0, -12, -4, 9],\n [10, -9, -6, 22, -4, -16, 14, -2, -4, 8],... | -3 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (6, 6) rounded to the nearest integer?\n[[-26, -20, 16, 12, -6, -6, -7, 24, 20, 16],\n [-20, 19, 3, 2, 0, 20, -14, 14, -2, 14],\n [16, 3, 8, -4, 22, -18, 0, 6, -10, 4],\n [12, 2, -4, 30, 18, 19, -3, 14, -11, 4],\n [-6, ... | -7 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[23, 12, 10, 2, -16, 6, -3, -15, 10, -22],\n [12, -18, 12, -10, -20, 4, -11, 12, -25, 1],\n [10, 12, -11, -10, -16, 15, 6, 1, 13, 4],\n [2, -10, -10, -1, -8, -7, 2, 25, -4, 0],\n [-16, -20, -16, -8, -17, 2, 4,... | 1301 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, -13, 26, -24, 17, 7, 17, -15, 24, 25],\n [29, 2, 25, 20, -28, 7, -27, 5, -27, 11],\n [-22, 9, 20, -14, -14, 2, -11, -... | -28 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-10, 8, 6, -2, 13, 18, -8, 8, 14, 26],\n [8, 25, 18, -10, 20, 3, 4, -10, -18, -1],\n [6, 18, 0, 4, 7, -3, 15, 18, 0, 9],\... | 163 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-3, 20, -12, 26, -15, -20, 11, -23, 2, -21],\n [-13, 4, 12, 19, -28, 9, -4, 28, -3, 15],\n [-25, 16, -17, -24, -21, -16, 0, -2, 11, 23],\n [-14, 28, 20, -2, 18, 13,... | 660 | MATH |
[
{
"content": "Find the value at position (9, 10) of the inverse of matrix 1/600 * A where A =\n[[-6, 19, 4, 4, 16, 24, -5, -3, -10, -16],\n [19, 21, 2, 4, -15, -6, -4, -4, -4, 5],\n [4, 2, 6, 10, -14, -2, -5, 28, 22, -6],\n [4, 4, 10, -30, -16, -8, -2, 0, -25, -19],\n [16, -15, -14, -16, 7, 8, -8, 8, -2, 20],\n... | -13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-14, 14, -17, 6, 27, 25, 23, -8, 28, -7],\n [-2, 7, 28, 23, -4, 7, 22, 9, 14, 19],\n [-8, 0, 5, -14, 30, 6, -28, 5, 24, -26],\n [15, -16, 21, 18, -25, 28, -21, 23, 1, -8],\n [17, -14, 15, -11, 13, 10, -1... | 813 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, 12, -25, 0, 7, -16, -24, 12, -1, -4],\n [-14, 24, -13, -9, 30, 25, 30, 22, -5, 20],\n [-4, 9, -7, 21, ... | 35 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, -16, -5, 20, 0, 25, 9, 2, 10, 6],\n [-16, 17, 5, 0, -14, 8, -4, -14, 4, 8],\n [-5, 5, 0, -19, 0, 2, -7, -4, -10, 14],\... | 230 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[11, -4, 18, 12, -8, 6, 0, 12, 18, 5],\n [-4, 6, 8, -7, -6, -10, 22, 6, 0, 0],\n [18, 8, 8, 3, 18, -18, 12, -20, -12, 5],\n [12, -7, 3, 14, 0, -20, 14, -14, -... | 47 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-23, -22, -16, 1, 22, -28, -27, -1, -18, 13],\n [0, 10, 26, 15, -12, 8, 17, -9, -11, 6],\n [0, 0, -13, 12, ... | -272 | MATH |
[
{
"content": "Find the inverse of 1/600 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[[-16, -16, -25, 12, 0, -3, -23, -2, -10, -14],\n [0, 26, 18, -7, 27, 29, 19, 5, 30, 0],\n [0, 0, -29, 11, -28, -1, -23, 21, -2... | 2382 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (5, 8) rounded to the nearest integer?\n[[-17, 5, -21, 9, -8, 4, 24, -24, 11, 4],\n [-29, -16, -22, 16, -14, 8, 21, -13, -16, -13],\n [-7, -8, -19, -8, -10, -5, -23, -1, 3, -29],\n [-26, 0, 2, 23, -27, -25, -8, 14, -12,... | 1 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-18, 4, 20, -5, 20, -15, 0, 3, -24, -6],\n [4, 24, -12, -10, 22, -22, 1, -14, -24, 2],\n [20, -12, 14, 6, -... | -52 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-22, -3, -7, -12, 2, -27, 25, -28, 11, -19],\n [-13, -8, -11, -25, 22, 3, 11, -29, -1, -22],\n [-4, 11, 3, 9, -7, 18, -14, -2, 5, 19],\n [-19, 0, 18, -22, 30, -12, 15, 1... | -49 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-28, -8, -20, -21, 19, 5, 29, -18, -2, 7],\n [28, 22, -18, 26, -5, -11, -26, -11, -17, 14],\n [-17, -23, 17, -18, -7, -16, 20, -30, -9, 3],\n [19, 20, 9, -28, 24, -5, -17, 27, 10, 30]... | 168 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[10, 6, 8, 10, -4, 2, -14, 16, -8, 3],\n [6, 11, -2, -26, 16, 10, 26, -24, 21, -3],\n [8, -2, 11, -24, -20, 12, -20, -16, 10, 18],\n [10, -26, -24, 13, 16, -2... | -139 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-4, 6, 18, 3, -13, 11, -21, 7, 28, 13],\n [-14, 28, -18, 21, 29, 17, 11, -4, 22, -29],\n [3, 0, -8, -24, 7, 2, -19, 14, -19, -12],\n [-22, -21, -14, 19, 9, 8, 10, -21, -19, -16],\n [0, -16, -3, -27, 5, 2... | 1818 | MATH |
[
{
"content": "Find the inverse of 1/600 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, -6, -16, -18, -23, -10, -10, -9, 15, 2],\n [14, -4, 9, 19, -9, -1, -22, 14, 4, -13],\n [11, -26, -4, 26, -25, 1, -23, 25, 8, -10],\n [-... | 3719 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-25, -17, -28, 17, -30, 13, -1, 15, -12, 23],\n [0, -22, -24, 15, 6, 19, 10, 22, -24, -22... | 4262 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-10, -9, 8, 19, 27, 26, -25, 19, -15, -29],\n [0, -30, 26, -1, 27, 12, 21, 6, 17, -8],\n [0, 0, 15, -28, -29, 25, 6, -14, -3, -13],\n [0, 0, 0, 10, -4,... | 2264 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-20, -17, -14, -2, 20, 1, -6, -12, -11, 11],\n [-17, 10, 4, 12, -20, -20, 7, -16, -15, 6],\n [-14, 4, -2, -4, -2, 6, -2, 10, 15, -18],\n [-2, 12, -4, 14, 7, -10, 0, -18,... | -53 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (10, 1) of the inverse. Round your answer to the nearest integer:\n[[-16, -6, 12, 6, 18, -8, -10, 13, 8, -16],\n [-6, -15, -16, 0, 16, -12, -18, 6, 12, 9],\n [12, -16, 18, 20, -5, -22, -12, -6, 6, 7],\n [6, 0, 20, 17, -... | -9 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[16, 15, -17, 11, 3, 28, 0, -25, 18, -26],\n [0, 6, -16, -16, 21, 12, -26, -3, 2, -20],\n [12, -25, -8, 9, -29, -16, -8, -9, -22, 16],\n [9, -1, -15, 28, 15, 16, 21, -1, 14, -22],\n [-30, 28, 7, -23, 28, ... | 1830 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, 21, 23, -17, 19, -29, 3, 4, 6, -6],\n [0, 23, -16, -19, -22, 27, 0, -17, -2, 22],\n [0, 0, 7, 11, 29, -23, 17, -28, -... | -5089 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[26, 16, -24, 6, -8, -20, -21, 26, -10, 24],\n [28, 10, 2, -11, 2, 9, 4, 3, 5, -4],\n [-12, 12, -26, -2, 25, -21, 25, 28, 24, 9],\n [-18, -... | 1997 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-7, -2, -2, 29, -5, 9, -28, -29, -6, -12],\n [9, -29, -12, -30, -4, 23, 14, 24, 21, 18],\n [4, 10, -26, 7, -27, -14, 22, -10, 22, 17],\n [0, 17, -9, -20, 3, 18, -16, 19, 30, -21],\n [... | -90 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (8, 5) of the inverse. Round your answer to the nearest integer:\n[[10, -5, -18, 19, 3, 6, 14, 22, -14, -6],\n [-5, -11, -11, -7, 6, -1, -21, -8, -10, 3],\n [-18, -11, 20, -11, 13, -12, -22, -4, -11, 3],\n [19, -7, -11,... | -13 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[4, -13, -10, 14, 16, 11, -30, 30, 7, 10],\n [11, 16, -22, -8, -17, -20, -24, 0, -7, -5],\n [-1, 3, 15, 7, -26, -26, 30, -12, 20, 7],\n [-3, -5, 30, 11, -8, 15, 18, -1, -28, -3],\n [2, 11, -28, -26, 26, -12, 1... | 19 | MATH |
[
{
"content": "Find the inverse of 1/600 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[[29, 30, -12, 21, -24, 9, 14, 28, 19, -7],\n [0, 10, 24, -30, 23, 1, 9, 22, 13, -29],\n [0, 0, -7, 19, -14, 16, 21, 21, -22, 4... | 10041 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-14, -9, -12, 14, 23, -21, 30, -20, 30, 7],\n [0, 2, 12, 0, 17, 4, 6, 16, 16, 5],\n [0, 0, 9, 8, -5, -6, -14, -16, 6, 14],\n [0, 0, 0, -9, -14, -17, -17, -14, -23, 3],\n [0, 0, 0, 0, -15, -1, -15, 7, 23,... | 11334 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (4, 7) of the inverse. Round your answer to the nearest integer:\n[[-6, -20, 30, 25, -14, 30, 29, 28, 18, 24],\n [0, -17, 28, 8, 26, -12, -28, 3, 27, 18],\n [0, 0, 7, 25, -4, -10, 10, 0, -4, 6],\n [0, 0, 0, -22, -12, 11... | -348 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[22, 3, -2, 5, -24, 20, -1, -14, 17, -18],\n [0, -7, 23, 24, 0, 27, -4, 19, -10, 13],\n [0, 0, -30, -16... | 231853 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[27, 4, 16, -10, 17, 5, 25, 0, 10, -19],\n [4, 18, -1, 22, 6, -22, -7, 18, 3, -12],\n [16, -1, -24, -16, -4, 2, -7, 4, -11, 1],\n [-10, 22,... | 1261 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[30, 20, 7, -19, -7, -18, 9, 17, -29, 23],\n [8, -19, 8, 20, -17, -1, 10, 19, 12, 17],\n [-12, 0, 12, 19, 12, -6, -27, 19, 20, -18],\n [5, 11, 30, 23, 6, -28, -15, -5, 9, 25],\n [8, -12, 15, -16, 1, 18, -... | 1102 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (5, 8) of the inverse. Round your answer to the nearest integer:\n[[-14, 17, -17, 2, -20, -18, -30, 3, -22, -18],\n [0, -1, 10, 14, 6, 16, -24, -17, 17, -25],\n [0, 0, 20, 6, 5, 15, 28, -25, -23, -7],\n [0, 0, 0, -30, 3... | -832 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-2, -14, 8, 13, -1, 0, 22, -10, -10, 3],\n [-14, -20, -2, -15, -3, 5, 8, 15, -2, -11],\n [8, -2, -1, 18, 6, 8, -4, 2, -9, -15],\n [13, -15, 18, 0, 14, 4, 2, 4, 4, -2],\n... | 601 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (9, 8) rounded to the nearest integer?\n[[22, 16, 10, 16, 15, -12, -24, -3, -26, 10],\n [16, -24, -14, -14, -13, 2, 15, -2, -10, -5],\n [10, -14, -9, 18, 14, -8, -8, 6, -12, -10],\n [16, -14, 18, -16, 24, 0, 6, -26, -26... | 290 | MATH |
[
{
"content": "Find the value at position (1, 7) of the inverse of matrix 1/600 * A where A =\n[[-19, -28, 16, -26, -23, -17, 30, 5, -24, -24],\n [19, 15, 1, -23, 27, -19, -21, -17, -22, 7],\n [-1, -26, -30, -30, 26, -11, 18, -20, -5, 13],\n [-28, -25, 12, 30, 14, -20, -23, -2, -21, 3],\n [-7, 15, 30, 17, -14, 1... | 69 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-23, 16, 22, 24, -12, 16, 9, 9, 20, -22],\n [0, 25, -14, 9, 13, 28, -16, -27, -25, 30],\n [0, 0, 26, 6, -8, -18, 16, -14, 26, 23],\n [0, 0, 0, ... | -431 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[0, 26, -26, -25, 20, -30, 28, 17, -3, -13],\n [-7, -18, 2, -21, -24, 6, 1, 14, -9, -15],\n [-7, 21, 23, -17, -20, -12, -8, 3, 29, 9],\n [-... | 943 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[20, 19, -10, 10, -23, -9, 20, 23, -26, -14],\n [0, -17, 8, 10, -3, 0, -14, 4, 9, -9],\n [0, 0, 22, -2, -21, -13, 4, 13, -15, 19],\n [0, 0, 0, -... | -91 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[12, 24, 9, 3, 3, 17, 2, -27, 7, -1],\n [22, 21, 15, -11, -5, -16, -24, -24, 19, -2],\n [-8, 3, -11, -16, 2, 22, -14, -11, 30, 26],\n [-18, 13, -7, 23, ... | -111 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[0, -14, 6, -10, -5, 10, 16, -6, 9, 4],\n [-14, -12, 0, -7, 2, -5, -16, -2, -6, -14],\n [6, 0, 12, 11, 3, -15, -30, 2, 4, -21],\n [-10, -7, 11, -3, -2, -14, -23, 10,... | 4873 | MATH |
[
{
"content": "Find the inverse of 1/600 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, 20, -12, 5, 20, -25, 29, -16, 5, 25],\n [0, -7, -4, 18, -20, 18, -8, 2, 10, 15],\n [0, 0, -2, 0, -30, 3, -13, -13, -25, 21... | 433207 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[7, 10, -14, 0, -24, -18, 10, -18, -12, 4],\n [10, 14, -3, -8, -14, -5, -2, -4, -14, -10],\n [-14, -3, 22, 2, 1, -14, 2, 10, -24, 3],\n [0, -8, 2, -7, 2, 0, 20, -5, 4, -2... | -264 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-2, 6, 13, -12, -18, -4, -24, 16, -18, -14],\n [6, -21, 9, -2, -6, 22, -2, 9, 10, 3],\n [13, 9, 4, -4, 4, -6, -8, 16, 24, -14],\n [-12, -2, -4,... | -42 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-27, -12, 19, -6, 7, 20, 26, 0, 5, -27],\n [25, 8, -24, 27, 24, 27, -15, 28, 17, -26],\n [16, -8, 5, 1, -7, -6, 14, -3, -12, -24],\n [13, 27, 10, -14, -29, -15, 8, 30, -... | 781 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-22, -24, -5, -7, -19, 29, -11, 25, -17, -9],\n [0, -2, 1, -12, 24, 4, 12, 1, 24, 22],\n [0, 0, 9, -11, -23, 27, 4, 11, -18, 10],\n [0, 0, 0, -26, 22, 14, 20, 3, -25, 28],\n [0, 0, 0, 0, 8, ... | -157053 | MATH |
[
{
"content": "Find the inverse of 1/600 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[[26, -7, -25, -14, -3, 19, 0, 5, 24, -22],\n [0, -10, 27, 3, 0, -2, 12, 12, -20, 2],\n [0, 0, 30, -30, -10, -8, 26, -22, 25, -... | 2231 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[7, 9, -2, 19, 20, 8, -14, -18, 16, -7],\n [9, -22, -14, -9, -2, -14, -1, -22, 2, -11],\n [-2, -14, 13, 4, -10, -2, 11, -6, -5, 0],\n [19, -9, 4, 22, 20, 8, -4, -19, -10, 6],\n [20, -2, -10, 20, -30, -7, 18, 13, -16, -5],\n... | -390 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-27, -22, 0, 12, 10, 2, 1, -22, -8, 4],\n [-22, 28, 10, -11, 1, 4, -20, 16, 2, -6],\n [0, 10, -14, 10, 0, -1, -6, -18, 2, 14],\n [12, -11, 10, ... | -780 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (1, 9) rounded to the nearest integer?\n[[18, -22, 11, 8, -20, -22, -20, 17, -22, 4],\n [-22, -15, 6, 12, 14, 1, -3, 13, 21, -2],\n [11, 6, 15, 6, -4, -8, 19, 18, 8, 0],\n [8, 12, 6, -28, 3, -6, -8, -17, 7, 11],\n [-20,... | -4 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[26, 24, 10, 23, 12, 0, -24, -2, 8, -24],\n [24, 25, 20, -4, 0, -2, -2, -3, -18, 8],\n [10, 20, 13, 12, 16, 1, 12, -11, 18... | -86 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-9, 17, 5, -26, -24, -25, 25, -9, -21, 15],\n [0, 30, 15, 15, -11, -3, -8, 4, -30, -2],\n [0, 0, -9, -29, -15, 9, 27, -25, 24, -18],\n [0, 0, 0, 2, -21, -30, 29, -19, 12... | 253 | MATH |
[
{
"content": "Find the inverse of 1/600 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, 25, 5, -14, -21, -8, 13, 28, -29, 4],\n [0, 26, 16, 14, 10, -29, -12, -15, 12, 13],\n [0, 0, -29, 17, -4, -29, 27, -1, 20,... | -21304 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, -12, 11, -30, -8, 24, -3, 17, -27, 10],\n [29, -13, 30, 18, 16, 20, 8, -6, -13, -25],\n [-12, 22, -19, -... | -243 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[25, 8, 16, 24, 7, -2, 3, -4, -6, -20],\n [8, -20, 14, -8, -3, -7, 0, -14, 1, 15],\n [16, 14, -10, 0, -3, -10, 2, 9, 15, 4],\n [24, -8, 0, -7, -4, -2, -... | 6428 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-21, -1, 5, 16, 9, -16, -17, 0, -2, -4],\n [-10, -22, -11, 4, 27, -16, -7, 18, 26, -15],\n [5, -20, 26, -23, -28, -12, 15... | 165 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[28, 26, 1, -2, -28, -23, 28, -29, 0, 20],\n [0, 6, -11, -2, -14, -21, 10, -9, -25, 12],\n [0, 0, 24, -19, -19, -15, -6, -9, -4, -7],\n [0, 0, 0, 14, 16, -15, -27, -19, 18, 2],\n [0, 0, 0, 0, 2, -4, 11, -... | 15476 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[12, -21, -30, 18, 29, 27, -18, -17, 2, -29],\n [0, 8, 10, 25, 0, -27, 3, -12, 27, 6],\n [0, 0, -18, 13, -1, -12, 10, -21, 20, 11],\n [0, 0, 0, 17, 18, -11, -27, 7, 13, 29],\n [0, 0, 0... | -188186 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[25, -22, -4, -3, 11, -5, -13, 5, -23, -13],\n [-11, 27, 30, 1, -2, 18, 17, -13, -24, -30],\n [-3, 2, 19, -27, 24, -11, 22, 21, 5, 26],\n [... | 28101 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[15, 24, 2, -14, 22, -14, 12, 5, -13, -1],\n [24, -28, -10, 4, 7, 10, -22, -13, -2, -6],\n [2, -10, -5, 10, 10, -12, 9, -3... | -132 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[18, -28, 20, 2, 0, -2, 0, 6, -1, 25],\n [-28, 0, 5, 11, 9, -7, 14, -12, -12, -16],\n [20, 5, 27, 5, 20, 18, 16, -22, -8, -8],\n [2, 11, 5, -17, 20, -23, 0, -8, -28, 12],\n [0, 9, 20, 20, -25, 6, -12, 3, 6, 14... | -12 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-15, -10, -10, -8, -6, -18, -3, 6, 12, 7],\n [-10, -4, -13, 10, -1, 4, 10, -6, 0, -8],\n [-10, -13, 11, 6, 0, 0, 0, -14, 0, 8],\n [-8, 10, 6, -19, 2, 1... | -28 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, 22, -1, 9, 15, 1, -21, -4, 20, -23],\n [20, 5, 11, 24, 4, 5, 17, 25, 5, -6],\n [-11, ... | 64 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-25, -8, -6, 9, 27, 8, -3, -8, -4, 22],\n [-8, 13, 4, 11, 19, -22, -3, -10, -7, 20],\n [-6, 4, 27, -12... | 939 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[15, 10, 10, -10, 29, 26, 7, -23, 12, 1],\n [-23, 13, -21, -8, -27, 17, 21, 7, -1, 10],\n [-8, -26, -10, 25, -25, 18, -14, -6, -7, -9],\n [-18, -14, -17, 3, -5, -12, -5, ... | -56 | MATH |
[
{
"content": "Find the value at position (5, 1) of the inverse of matrix 1/600 * A where A =\n[[-8, 2, 13, -2, 2, 6, 16, 5, 28, 9],\n [2, -1, 12, 0, 0, 4, 0, 20, -18, 10],\n [13, 12, -6, 0, 3, -6, 4, -6, 18, 16],\n [-2, 0, 0, -7, -22, 10, 14, 10, 4, 2],\n [2, 0, 3, -22, 7, -24, -5, -8, 16, 22],\n [6, 4, -6, 10,... | 13 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-12, 18, 17, -1, -10, -7, -10, -5, 20, 26],\n [0, 20, 29, 5, -5, 2, 28, 5, -27, -22],\n [0, 0, -2, -8, -25, 24, 12, 5, 15, -10],\n [0, 0, 0, 28, 26, -5, -30, 5, 13, -26]... | -1362 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-15, 23, 4, 21, 2, -10, -11, -23, 20, -5],\n [2, 30, -5, 6, -1, 0, 2, -20, 22, 10],\n [-26, -29, -18, -13, -5, -6, 13, -17, -26, 28],\n [25, 11, 21, -2... | -34 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[0, -5, -16, -2, 0, 8, 8, -4, -10, -19],\n [-5, -28, -7, 4, 4, -6, -23, -4, 12, -17],\n [-16, -7, 19, -16, 4, 9, -6, 7, 14, 22],\n [-2, 4, -16, 8, 12, -14, -10, 10, -4, 2... | 16 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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, 2, 12, 0, -14, 4, -6, 16, 14, 24],\n [2, 16, 8, -2, -6, 20, 21, -3, -6, 2],\n [12, 8, -21, 12, 2, 2, 16... | -758 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-19, 28, -18, 23, 13, -15, -25, -17, 20, 17],\n [0, 27, 0, 5, 6, 10, 25, 4, 23, -21],\n [0, 0, 11, -1, 13, 24, -24, -13, -12, -16],\n [0, 0, 0, 30, 8, 11, 26, 25, 2... | 5110 | MATH |
[
{
"content": "Find the inverse of 1/600 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, -20, 15, 6, 10, -24, 26, 15, 28, 17],\n [-9, 17, 8, -21, -10, -25, 18, -30, 3, 28],\n [-17, 5, -4, -22, 24, -25, 0, -14, 2... | 34 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-6, 6, -22, 14, -7, -6, -20, 16, 2, -22],\n [6, -1, 2, -15, -6, 20, 16, 10, 8, -8],\n [-22, 2, -27, 18, 14, 6, 3, 10, 4, 12],\n [14, -15, 18, -6, 8, 9,... | -24 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[3, 14, -10, -4, -16, 12, 2, -18, -4, -10],\n [14, 30, 24, 2, 8, 6, -2, -4, 17, -10],\n [-10, 24, 17, 4, 8, -2, -2, -12, -16, 12],\n [-4, 2, 4, -7, -10, -10, 2, -28,... | 1311 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[13, -2, 14, -4, 23, 24, -14, -26, 21, 14],\n [30, -18, 11, -16, -16, -13, 19, -29, -8, 12],\n [-18, 12, -27, 16, 23, 24, -6, -20, 19, 17],\n [11, -19, -18, -22, 28, 22, 14, 7, -25, 12],\n [20, 28, 12, -2... | 8947 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-5, 12, -13, 29, 15, 15, -25, 0, -2, -22],\n [23, 4, -14, 29, -19, 5, 21, 17, 30, -7],\n [-21, 27, -1, -2, 8, -21, 8, 24, -3,... | 822 | MATH |
[
{
"content": "Find the inverse of 1/600 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[[29, -21, -26, 16, -19, 1, 11, 0, -9, -14],\n [0, -11, 12, -23, 16, 3, 18, -8, 7, 22],\n [0, 0, -2, 30, -23, -20, 16, 14, -13,... | -1916055 | MATH |
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