messages listlengths 1 1 | ground_truth stringlengths 1 7 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-16, -5, 3, 6, -16, -13, 21, -3, 24],\n [-3, 5, -22, 23, -23, -5, -24, -22, -25],\n [-11, 7, -20, -19, -7, 18, -25, 13, -7],\n [19, 0, 18, -14, -4, -13, 2, -12, -4],\n [... | 69 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[24, -1, -5, 12, -24, 1, 23, 6, -5],\n [-22, 18, -7, -24, 0, 8, -12, -11, -6],\n [8, 10, -7, -17, -19, 4, -13, 1, 18],\n [9, -13, -11, 20, -17, 19, -3, ... | -88 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-23, -8, 6, -4, -9, -2, 16, 0, -16],\n [-8, 19, 3, 3, -14, 12, 2, 21, -10],\n [6, 3, 17, -6, -8, -1, 6, 3, -16],\n [-4, 3, -6, -15, -9, 10, -12, 0, -2],\n [-9, -14, -8, -9, 0, -3, -6,... | 103 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[22, 4, -18, 5, 9, -20, 14, -7, 10],\n [4, -4, -7, -13, -12, 22, 16, -12, -16],\n [-18, -7, -14, 2, 9, 19, 0, -8, -7],\n [5, -13, 2, -12, -12, -8, -19, 7, 6],\n [9, ... | 736 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[-8, 8, -3, 19, 1, 23, -9, 22, -5],\n [24, 14, 5, -23, -9, 24, 0, -3, -20],\n [2, -18, 19, -18, -7, 12, 3, -3, 21],\n [6, -16, 1, 23, -25, 13, 3, 19, -23],\n [25, 21, 11, 5, -15, -4, -8, 9, -20],\n [-23, -21, ... | -91 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[-11, 12, 14, 10, -10, 2, -7, 24, 0],\n [12, 21, -12, -8, 21, -14, -1, -6, 8],\n [14, -12, 2, 8, -15, 10, -1, 9, 16],\n [10, -8, 8, 12, 5, -4, -6, 6, -12],\n [-10, 21, -15, 5, 25, 6, 0, -4, 10],\n [2, -14, 10,... | -87 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[1, 14, 15, -8, 9, 23, -11, 1, -9],\n [0, -24, 23, 24, 5, 11, 15, 15, 8],\n [0, 0, -23, -9, -12, -12, 20, 12, 9],\n [0, 0,... | 3435 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-11, 9, 21, 12, 7, -12, 22, -25, 23],\n [0, -18, 24, -10, 12, -16, 16, 11, 0],\n [2, -14, -6, 23, -12, 20, 9, 3, -14],\n [-8, 18, -24, -24, -9, -16, -8, -4, -7],\n ... | 775 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (4, 8) rounded to the nearest integer?\n[[-25, -12, -2, 6, 12, -21, -14, 14, -2],\n [-12, -5, -10, -7, -6, -12, 5, 17, -8],\n [-2, -10, 14, 13, -6, -12, 14, 0, 0],\n [6, -7, 13, -8, 12, -2, -11, -16, 10],\n [12, -6, -6,... | 0 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[5, -16, 0, -14, -11, 2, -22, 14, -6],\n [-16, 2, 14, -3, -5, 1, 21, 3, 0],\n [0, 14, -13, -16, -4, 7, 10, 1, -2],\n [-14, -3, -16, 9, 2, 13, -14, 0, 16],\n [... | -848 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[10, -6, 6, 4, 2, -1, -2, 22, -11],\n [-6, 14, -2, 6, 3, 0, 6, 6, 0],\n [6, -2, -18, 16, 14, -7, 4, 16, -22],\n [4, 6, 16, -6, -8, -1, -6, -4, -8],\n [2, 3, 14, -8, ... | 677 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[5, -19, -9, -7, 13, -23, 4, 9, 3],\n [0, -12, 9, 2, 4, 0, -19, 13, 5],\n [0, 0, 24, 21, -12, 10, 1, -2, 14],\n [0, 0, 0, -18, -11, 23, -21, -22, -15],\n [0, 0, 0, 0, -11, -20, -10, 21, 14],\n [0, 0, 0, 0... | 16126 | MATH |
[
{
"content": "Find the value at position (6, 8) of the inverse of matrix 1/450 * A where A =\n[[-2, 5, 13, 20, -13, -16, -3, -8, 6],\n [0, 10, 2, -10, -10, -8, -18, 16, -10],\n [0, 0, -25, -14, 12, 2, 19, -9, -25],\n [0, 0, 0, 17, 20, -2, -16, 21, 13],\n [0, 0, 0, 0, 24, -16, -7, 20, 19],\n [0, 0, 0, 0, 0, 24, ... | 11 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (6, 6) rounded to the nearest integer?\n[[-12, -2, -12, 3, 4, -10, -16, -2, 6],\n [-2, -17, -6, -3, -4, 0, -2, 10, -2],\n [-12, -6, 13, 6, 8, -2, -2, 16, -14],\n [3, -3, 6, -17, -1, 5, 6, -5, -4],\n [4, -4, 8, -1, 4, -8... | -11 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[1, 0, 2, -4, -6, -6, -16, 10, 15],\n [0, -5, -3, 3, 0, -13, -22, -7, -14],\n [2, -3, -13, -4, 8, 3, -3, 1, -8],\n [-4, 3, -4, -5, -13, -18, 10, 11, 6],\n [-6, 0, 8, -13, 18, 4, 12, -16, -4],\n [-6, -13, 3, -1... | 12 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-18, 21, -16, -21, 22, 0, -4, 18, -3],\n [-13, -17, 23, -6, 2, 18, 11, -2, 18],\n [7, -6, 22, 4, 18, -17, 19, 23, -9],\n ... | -7 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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, 2, -2, -18, 22, 17, -1, 10, -4],\n [2, -8, -2, -12, 7, -5, -1, 5, 2],\n [-2, -2, -21, -10, 4, 6, -16, -2, 7],\n [-18,... | 14 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[18, -1, -3, 18, -25, 7, -11, -9, 8],\n [-9, 15, 18, -22, -13, -22, -19, 20, -17],\n [-3, 7, 7, -6, -22, -25, 16, 8, 1],\n [-5, -2, -11, 9, -1, -17, -9, -5, -13],\n ... | 814 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value at position (9, 5) of the inverse. Round your answer to the nearest integer:\n[[-13, 8, 16, -13, 4, 1, 2, -15, -4],\n [8, -9, 3, 2, 0, -2, -12, 8, 1],\n [16, 3, 16, 10, 10, -4, 3, -1, 10],\n [-13, 2, 10, 7, -5, -5, 8, 16, 6],\n [4,... | -20 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the trace (sum of diagonal elements) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-15, -9, 18, -24, -20, -17, -21, -6, 3],\n [-5, -17, 2, -18, 5, -6, 1, -18, -5],\n [2, -3, -20, -23, -21, -... | -29 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[-15, -22, -11, -8, -18, -5, 12, -10, -6],\n [-22, 24, 8, -8, -12, -2, 2, -16, 14],\n [-11, 8, 22, -9, 19, 0, -8, 6, -4],\n [-8, -8, -9, 8, 6, 2, 8, -4, -3],\n [-18, -12, 19, 6, 17, -6, -4, 16, -16],\n [-... | 998 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value at position (3, 5) of the inverse. Round your answer to the nearest integer:\n[[-8, 19, -4, 25, 13, 25, -17, 9, -3],\n [-14, -2, 24, 14, -17, -13, 14, 16, -9],\n [-19, -9, 24, -2, -24, 9, 2, -7, 7],\n [-5, -16, 20, 19, -17, 12, -20... | 18 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (5, 3) rounded to the nearest integer?\n[[-20, -5, 7, -7, 13, -2, -8, 9, 17],\n [11, -7, -2, 8, -4, -22, -16, -24, -18],\n [7, 12, 17, 2, -16, 19, -25, 8, -23],\n [-17, -21, 16, -16, -14, -8, -5, -5, -25],\n [-23, -21, ... | -20 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/450 * A where A =\n[[13, 22, 15, 0, -13, 18, 25, 0, -25],\n [-18, -22, -5, -4, 25, 11, 23, -23, -7],\n [-25, 3, -3, 7, 15, -3, -21, -19, -20],\n [23, -4, 23, -13, -14, -22, -18, 11, 5],\n [11, 19, 0, 17, -18, 14, 7, 19, 3],\n [-21, 2, 14, -9, ... | -1576 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[14, -5, -10, 15, -18, 12, -5, 8, -4],\n [-5, 3, -2, -22, -18, 8, 0, 6, -14],\n [-10, -2, -16, -8, -8, -3, -14, -17, 2],\n [15, -22, -8, -20, -6, 16, -8... | 33 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -6, 10, 6, 13, -15, -8, -4, -7],\n [-6, 13, 18, -10, 3, -2, 12, 0, 2],\n [10, 18, -16, -1, 10, 11, -10, -2, -14],\n [6, -10, -1, 25, ... | 1353 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -14, -5, 2, 0, 2, -12, 16, -2],\n [-14, 25, 0, -12, 14, 12, -2, -3, 5],\n [-5, 0, -21, 4, 0, -22, -2, 10, 4],\n [2, -12, ... | -30 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[13, 8, 16, -11, -20, -24, -2, 23, 2],\n [-25, -25, 2, 10, -6, 22, -18, -25, 0],\n [25, 17, 23, -1, -16, -14, 15, -19, -14],\n [21, 14, -9, -21, -12, 8,... | -19 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the value at position (1, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[24, -5, -6, -16, -1, 21, 10, 22, 21],\n [-11, 18, 14, 14, 24, -20, 11, -24, -14],\n [-22, -3, -13, -9, 5, -10, 15, ... | -5 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-4, -8, -10, -24, 10, -6, -10, -23, 4],\n [0, 9, 0, -21, -24, 25, -6, 8, 8],\n [0, 0, -1, -6, -1, -12, 21, 18, 17],\n [0, 0, 0, 22, -21, -24, -... | -419 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[14, 19, -11, -6, -6, 19, -21, 6, -20],\n [4, 0, 11, -13, 3, -21, -1, -13, -2],\n [5, -6, -18, -17, -5, 25, -6, -11, 0],\n [16, -15, 11, 15, -15, 1, 4, -7, 8],\n [12, -3, -25, -23, -23... | -184 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (4, 9) rounded to the nearest integer?\n[[-18, 25, 16, 5, 0, -8, -8, -19, 22],\n [0, 22, -10, 7, 25, -23, 12, -22, 10],\n [0, 0, -17, 14, 25, -9, -9, 7, -6],\n [0, 0, 0, 17, -23, -2, 4, -18, -4],\n [0, 0, 0, 0, 14, -25,... | -73 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/450 * A where A =\n[[-17, 2, 17, -10, -8, -1, 8, -16, 10],\n [2, -5, 2, 4, 4, 5, -3, -6, 4],\n [17, 2, 5, 6, 6, -4, 22, 9, 20],\n [-10, 4, 6, 8, 10, -8, 1, -4, -14],\n [-8, 4, 6, 10, -6, -4, 6, 22, 10],\n [-1, 5... | 70 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/450 * A where A =\n[[12, -17, 8, 10, -17, -11, 19, -6, -18],\n [0, 25, -7, -10, -15, 16, -18, 7, -16],\n [0, 0, 17, 24, -23, 14, 1, 2, 20],\n [0, 0, 0, -19, -16, -11, 5, 3, 16],\n [0, 0, 0, 0, 18, -11, 0, -14, -... | -175 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the value at position (1, 2) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-19, 7, -13, 25, -25, -13, 17, 1, -19],\n [0, -1, 7, 14, -9, 19, -12, 11, -3],\n [0, 0, 12, 1, 12, 14, 19, 24, -3],... | -166 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[5, -8, -14, 22, 4, 7, 21, -19, 2],\n [0, -23, 17, -20, 5, 12, -11, -19, 17],\n [0, 0, -9, -8, -4, 0, 25, 1, 14],\n [0, 0, 0, 3, 17, -5, -23, 5, 1],\n [0, 0, 0, 0, 7, 0, 2, 18, 17],\n [0, 0, 0, 0, 0, -11,... | 174608 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-25, -23, -11, -16, -5, 11, -11, -3, -12],\n [0, -16, -17, 18, 13, -21, -1, 16, 0],\n [0, 0, -1, 22, -14, -17, -16, 22, -... | 112834 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-20, 12, 6, -5, 18, 18, 23, -19, 0],\n [-11, 23, 16, -3, 12, 15, -11, 22, 14],\n [-10, 6, 11, -8, -6, 20, -24, -3, 4],\n [-23, 20, 13, 21,... | 754 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[24, -23, -6, -16, -4, 22, -23, -15, -1],\n [16, 22, -18, -17, -11, 6, -23, -22, 4],\n [-13, 18, -5, 15, 20, -7, 13, 22, -4],\n [-6, 11, 5, -16, -8, 17, 13, 20, -6],\n [-8, -15, -4, 18... | 22 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value at position (8, 5) of the inverse. Round your answer to the nearest integer:\n[[18, 16, 15, 17, -12, 2, 5, 7, -10],\n [16, -2, 10, 5, -12, -16, -8, 6, -16],\n [15, 10, 2, -6, -6, 10, -11, 10, 10],\n [17, 5, -6, 21, 0, -10, 8, -10, ... | -18 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[-19, 19, -13, 23, -25, -12, 3, -23, 20],\n [-2, -25, 22, -16, -13, 10, -17, -12, 10],\n [-16, 14, -3, 9, -19, 16, 9, -24, -11],\n [-17, 21, -9, 13, -8, -11, -8, -2, -3],\n [-14, -3, -5, 0, -18, 4, 8, -24, -21... | -87 | MATH |
[
{
"content": "Find the inverse of 1/450 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, 22, -14, -16, -20, 24, 8, 15, -7],\n [0, -24, -11, -9, -10, 2, -5, -18, -16],\n [0, 0, -16, -17, 2, -2, -7, 7, -22],\n [0... | -906 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[-18, 20, -7, 25, -18, 8, -22, 5, 12],\n [0, 9, -7, 17, 3, -16, -14, 20, 4],\n [0, 0, -2, 6, -17, 21, -2, 0, -23],\n [0, 0, 0, 24, 10, -13, 3, 12, -13],\n [0, 0, 0, 0, -12, 19, -12, -18, 22],\n [0, 0, 0, ... | 13661 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value at position (4, 7) of the inverse. Round your answer to the nearest integer:\n[[11, 19, 2, 24, -24, -6, -22, -13, -2],\n [0, 12, 14, 22, 19, 3, 10, -24, 15],\n [0, 0, -18, -11, 15, -9, -3, -24, -20],\n [0, 0, 0, 23, 8, -8, 16, -16,... | 27 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of absolute values of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[9, -21, 9, 21, -12, -5, 21, -2, -9],\n [0, 8, -14, -10, -22, -1, 8, 2, 20],\n [0, 0, 5, -1, 13, -16, -... | 4662 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[-8, 4, -14, -8, 9, -7, -8, -14, 6],\n [4, 5, 3, 10, -4, 5, -4, -4, -4],\n [-14, 3, -10, 18, -8, 16, 24, 2, 8],\n [-8, 10, 18, 25, 6, -6, -... | 1091 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[2, 2, -16, -6, -1, -5, -12, -4, 0],\n [18, -15, -19, -9, -8, -19, -6, 12, -15],\n [18, -10, 25, 1, 25, -15, -10, -3, -14],\n [14, -23, -24, 12, 22, -2, 3, 21, 20],\n [8, -6, -8, -12, -8, -24, -25, -6, 8]... | 1051 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value at position (5, 8) of the inverse. Round your answer to the nearest integer:\n[[-23, -24, 9, 15, -10, 19, 25, 24, -5],\n [0, 2, -14, 7, -6, 14, 23, -5, 13],\n [0, 0, 16, 10, -4, 0, -19, -19, -18],\n [0, 0, 0, 14, 22, -14, 21, -18, ... | 90 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[22, -8, 6, 14, 21, -16, 12, 14, -2],\n [-8, 16, -1, 1, 9, -6, -6, 1, -19],\n [6, -1, -12, -12, -22, 4, -24, -16, -4],\n [14, 1, -12, 20, -8, 0, 10, 6, -5],\n [21, 9, -22... | -33 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (9, 8) rounded to the nearest integer?\n[[-24, 4, -1, -4, -10, 0, 6, 8, 6],\n [4, 21, -2, 20, -9, -20, 8, 0, 0],\n [-1, -2, 6, 14, 13, 22, 15, -2, 18],\n [-4, 20, 14, 5, 18, -10, 4, 9, 0],\n [-10, -9, 13, 18, 9, -2, 14,... | 407 | MATH |
[
{
"content": "Find the value at position (1, 7) of the inverse of matrix 1/450 * A where A =\n[[24, -25, 25, -10, 13, -11, 7, -3, 15],\n [8, -9, -1, 16, -20, 5, -21, 14, 14],\n [4, -21, -14, -19, 19, -13, 23, -22, 24],\n [16, -23, -14, -25, 1, 17, 24, -13, -9],\n [-18, 6, -6, 25, -9, 8, 9, 9, 12],\n [16, -2, -8... | 17 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-14, -17, 5, -12, 3, 22, 17, 12, 16],\n [0, 22, -23, -24, -10, -7, 4, 15, -10],\n [0, 0, -22, -16, 25, 19, -8, 21, 6],\n [0, 0, 0, 10, 3, -10, ... | -83 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the sum of absolute values of all entries of the inverse. Round your answer to the nearest integer:\n[[7, -6, 7, 14, 9, 8, 10, 1, -7],\n [17, -21, 3, -16, 14, -13, 3, -21, -14],\n [-13, -4, 14, -11, -13, -25, 12, 17, 19],\n [-25, -15, 17, 14... | 12060 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-24, -7, -25, 1, 19, 23, 9, 15, -21],\n [0, -22, -9, -5, 22, 5, 22, -4, -15],\n [0, 0, -11, 24, -16, 12, 6, 22, 5],\n [0, 0, 0, 5, -20, -12, -3... | -21 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-1, 16, -3, -15, 7, -6, -1, 0, 14],\n [-14, 6, 7, -16, -22, -11, 25, -20, 1],\n [-21, -21, -8, 2, 9, -4, 8, -22, -8],\n [15, 25, 0, 16, -4, 21, 7, 17, ... | -155 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-14, 12, -5, 10, -2, -2, 8, -6, 10],\n [12, 16, 10, -2, 0, 0, 0, -12, 6],\n [-5, 10, 4, 5, 14, -2, -9, 1, -13],\n [10, -2, 5, 0, 16, -12, 10, 10, 0],\n [-2, 0, 14, ... | 529 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the value of the entry with the largest absolute value of the inverse. Round your answer to the nearest integer:\n[[-9, 24, -19, 24, -7, -19, 14, 19, 24],\n [0, -15, 15, -25, 6, 14, 18, -24, -11],\n [0, 0, 24, -9, 21, -17, 9, -6, -7],\n [0, ... | 196 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-16, 8, -16, -1, 3, 4, -4, -2, 0],\n [8, 12, -1, -4, 6, 0, -2, -2, 6],\n [-16, -1, 17, 8, 0, 8, 4, 11, 18],\n [-1, -4, 8, 14, 4, 0, 4, 3, -3],\n [3, 6, 0, 4, -9, 8, 0, -... | 222 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[-22, 4, -21, 2, -4, 19, 16, 16, 6],\n [4, -5, 12, 25, -14, -14, -2, -8, 12],\n [-21, 12, -16, -3, 0, -6, 0, -2, -3],\n [2, 25, -3, 18, 8, -1, 6... | 400 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-12, -14, 24, -22, 20, 25, -13, -8, 17],\n [2, 12, 15, 18, -7, 20, 21, 17, 12],\n [20, -23, -7, -6, -1, -15, -9, 23, 9],\n [-12, 13, -7, -23, 8, 23, 15, -4, 12],\n [1, -... | 29 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/450 * A where A =\n[[-1, -19, 14, -3, 22, -15, 10, 23, 22],\n [0, -3, 17, -19, 1, -13, 25, -9, 6],\n [0, 0, -13, -14, -19, -25, 7, -12, 21],\n [0, 0, 0, -22, 25, 13, -25, 15, 19],\n [0, 0, 0, 0, -11, -9, -13, -1... | 112261 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -17, 22, -8, 4, 6, 14, -3, -15],\n [0, -7, 10, 0, -16, -2, -13, 20, 8],\n [0, 0, -19, 25, 4, -9, 22, -13, -2],\n [0, 0, 0... | -2464 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/450 * A where A =\n[[21, 18, 0, 15, 4, -6, -1, -7, 18],\n [18, 13, 12, 10, 10, 0, -1, 22, -12],\n [0, 12, -17, 5, 0, -6, 14, -17, -18],\n [15, 10, 5, 22, 6, -10, -18, 0, 19],\n [4, 10, 0, 6, 14, 22, -10, -1, 12],\n [-6, 0, -6, -10, 22, 9, 4, 6... | -17 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the trace (sum of diagonal elements) of the inverse. Round your answer to the nearest integer:\n[[22, -1, 8, 11, 18, -13, 12, -20, -20],\n [-1, -1, 19, -18, 2, 20, 17, -10, -11],\n [8, 19, 2, 19, 17, 6, 6, -6, 4],\n [11, -18, 19, -14, 3, 6, ... | 460 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (1, 9) rounded to the nearest integer?\n[[-19, 8, -16, -2, 4, 8, -21, -8, -2],\n [8, 17, 2, -10, 4, 16, -2, 4, -20],\n [-16, 2, 19, 16, -6, 0, 6, -8, -6],\n [-2, -10, 16, 6, 16, 18, -5, 7, -4],\n [4, 4, -6, 16, -1, 14, ... | 3 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[23, -4, 15, 5, 0, -2, -6, 16, 0],\n [-4, -15, -14, 4, -6, -12, 8, 15, -18],\n [15, -14, 15, -16, -20, -12, -9, -16, -8],\... | -29 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[4, 8, -8, -14, 9, -19, 15, 14, -1],\n [0, -25, 20, -10, 22, -22, 3, 12, 21],\n [0, 0, -18, 6, 7, -13, 1, -8, -8],\n [0, 0, 0, -15, 13, 24, -4, 10, -9],\n [0, 0, 0, 0, 3,... | 90 | MATH |
[
{
"content": "Find the inverse of 1/450 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[[19, 21, 1, -14, -13, -18, -10, 3, 9],\n [0, 5, -13, -14, 25, -24, 7, -18, 15],\n [0, 0, 15, 6, 12, 2, -11, -3, -2],\n [0, 0, ... | 924 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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[[22, 7, -10, 10, -20, -7, 5, -24, -8],\n [16, 2, -22, -25, 21, 16, 24, -10, 19],\n [21, -24, 10, -25, 13, -3... | 27 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-2, 12, 21, -2, 6, -10, 11, -12, -10],\n [12, 22, 10, 6, -9, -8, 12, -19, 0],\n [21, 10, 16, -10, 10, -4, 14, 7, 10],\n [-2, 6, -10, -24, 16, -20, 2, -... | 159 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[5, 19, -24, 20, 13, 11, -12, -17, -16],\n [-19, 2, 20, -1, 20, 2, -24, -9, -22],\n [-13, -8, -23, 25, 11, 7, 15, -2, -18]... | -111 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[-5, 0, 2, 13, 7, 14, -7, 3, -6],\n [0, -16, -14, 7, -1, -1, -22, -22, -17],\n [0, 0, -11, 0, 2, -19, 6, -14, 9],\n [0, 0, 0, -13, 18, 7, 6, -7, 4],\n [0, 0, 0, 0, -8, -13, 3, -2, 12],\n [0, 0, 0, 0, 0, 1... | 2803 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-3, -12, -22, -5, 20, -16, -4, 4, 4],\n [0, -15, -4, 3, -1, -12, -12, -24, -13],\n [0, 0, -8, 10, -5, -7, -10, 2, -22],\n [0, 0, 0, 22, 21, -10, -6, 7, -9],\n [0, 0, 0, 0, 18, 10, 4, ... | -14327 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -13, 18, 11, -13, 12, -1, 21, -3],\n [-4, -5, 4, -15, -22, 7, 21, -14, -17],\n [6, -15, 11, -2, -19, -18, 7, -1, -25],\n [-23, 14, 2, 1... | 2156 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 times the following and determine the sum of all entries of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[5, -4, -4, 8, 0, -22, 20, -24, 0],\n [-4, 4, -6, 2, -12, -4, 0, -18, -13],\n [-4, -6, 1, -4, 0, -3, 8, -6, -8],\n [8, 2, ... | -62 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[-17, 20, 0, 14, -14, -12, -4, 0, 7],\n [20, -10, 5, -6, 4, 1, 12, -8, -6],\n [0, 5, 15, 2, 14, 0, 0, 0, -14],\n [14, -6, 2, -8, -15, 14, 10, -12, -2],\n [-14, 4, 14, -15, -3, -2, -10, 5, 8],\n [-12, 1, 0, 14,... | 84 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-21, -19, -4, 4, -10, -6, -2, 14, -16],\n [-19, 20, -6, 20, -8, -1, -6, 17, 8],\n [-4, -6, 6, -6, -5, 6, 2, -2, -16],\n [4, 20, -6, -13, 6, 0, -2, -20,... | 152 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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, -13, 25, -22, -7, 24, -1, 12, 25],\n [5, 10, -22, 13, -19, -10, 22, -21, 21],\n [-3, ... | 74 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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, -8, 4, 1, -6, -6, -3, -14, -4],\n [-8, -10, 8, -2, -10, 9, 9, 0, -9],\n [4, 8, -6, -20, 11, 14, -... | 907 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[-6, 9, -4, -11, -15, 8, -2, -20, -9],\n [2, 24, 5, 10, -17, -16, -5, 8, 5],\n [3, 17, 17, -15, 7, 20, -25, -5, -3],\n [-17, -25, -5, -4, -22, -25, 25, -16, -11],\n [10, ... | 126 | MATH |
[
{
"content": "Find the value at position (5, 1) of the inverse of matrix 1/450 * A where A =\n[[2, -14, 16, -4, -8, 2, 11, 6, -12],\n [-14, 23, -10, -10, -4, -3, -14, 16, 0],\n [16, -10, -9, -2, 3, 0, -2, -14, 0],\n [-4, -10, -2, -1, -2, 23, 10, 1, 2],\n [-8, -4, 3, -2, -22, 4, -7, 20, 10],\n [2, -3, 0, 23, 4, ... | -14 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[25, 15, 14, 3, 9, -8, 14, 22, 4],\n [0, -11, -10, 7, -16, -7, 11, 24, -23],\n [0, 0, -15, 15, 7, 2, 6, -10, -17],\n [0, 0, 0, 1, -14, -4, 14, 22, 11],\n [0, 0, 0, 0, 14,... | 491 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-20, 16, 24, 22, -8, 12, -7, 23, 24],\n [4, -13, 13, -14, 8, -14, 18, -2, -22],\n [10, 24, 22, -12, -9, 23, -23, 12, -3],\n [-13, -17, -5, 15, -18, -9,... | -23 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the trace (sum of diagonal elements) rounded to the nearest integer?\n[[5, 14, -5, 8, 4, 16, -12, 16, 8],\n [14, -16, 4, -5, 22, -14, -6, -8, 4],\n [-5, 4, 24, 20, 3, -24, 2, 1, -4],\n [8, -5, 20, -23, 2, 4, -10, -5, 12],\n [4, 22, 3, 2, 5, ... | -134 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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, 8, -3, -12, -8, -6, 14, -2, -5],\n [8, -20, -2, 0, 10, 14, -13, -12, 6],\n [-3, -2, -4, 18, -4, -14, -2... | 51 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-23, 9, -13, 8, -2, -25, -14, -18, -7],\n [0, 2, -12, 1, -8, 16, 15, -20, 7],\n [0, 0, -1, -13, -3, 10, 7, -5, 8],\n [0, 0, 0, -3, 18, -24, 9, -12, 21],\n [0, 0, 0,... | 5316290 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -16, 24, 9, 9, 11, 22, -6, -13],\n [-15, 19, -7, 2, 12, 19, -22, 11, -7],\n [11, -12, 5, 2, 10, 18, 12, -7, 16],\n [-25, ... | -130 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value of the entry with the largest absolute value rounded to the nearest integer?\n[[-17, -20, -4, -6, 7, -4, 4, -12, 18],\n [-20, -16, 2, 0, 6, 8, 11, -8, -18],\n [-4, 2, 13, 15, -8, -16, -2, -4, 8],\n [-6, 0, 15, -14, -5, -22, -2, -12... | -39 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[-19, 10, 2, -12, -11, 16, 10, 18, -6],\n [10, -16, 2, -4, -12, -7, -3, 9, -16],\n [2, 2, 19, 17, -6, -21, 2, 0, -9],\n [-12, -4, 17, 21, 4, -17, 6, -8, -4],\n [-11,... | 1259 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/450 * A where A =\n[[-17, -23, 10, 22, -19, -4, -12, 22, 3],\n [24, -10, 22, 8, -16, -19, -1, 1, -11],\n [6, 2, -17, -19, -10, 0, 9, -9, -3],\n [-18, -24, 5, 6, 3, -23, -18, -24, 5],\n [25, 23, 11, -6, 3, -9, -16, 15, -4],\n... | 940 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -2, 10, -21, 13, -20, 19, 10, 19],\n [-22, -16, -25, -5, 14, 13, 11, -23, 21],\n [5, 1, -9, -3, -13, 21, 1, 25, -6],\n [2... | 146 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -16, -10, 0, -18, 15, 19, 3, -6],\n [0, -7, -9, 13, -25, 3, -12, -9, -13],\n [0, 0, 1, 20, 7, 3, 11, 13, -7],\n [0, 0, 0... | 22811 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of absolute values of all entries rounded to the nearest integer?\n[[19, 18, -3, 16, 11, -18, -20, 11, -4],\n [0, 6, -9, 12, -9, 11, -3, 23, 23],\n [0, 0, -4, -19, -4, -5, -20, -12, -10],\n [0, 0, 0, -5, 24, 4, 4, 16, 16],\n [0, 0, 0... | 24468 | MATH |
[
{
"content": "Find the inverse of 1/450 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, -8, 24, 12, 17, -23, 22, -21, -2],\n [0, 21, 22, 13, 22, -2, 10, 2, 22],\n [0, 0, -10, 10, -19, -8, -20, 24, 2],\n [0, 0, 0, 15, 3, -... | 10185 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/450 * A where A =\n[[-14, 20, 14, -16, -11, 4, 8, 11, 10],\n [20, -5, -2, 8, 1, -5, -16, 21, 1],\n [14, -2, -10, 14, 6, 8, -4, 6, -8],\n [-16, 8, 14, 21, 0, 4, 12, 0, -10],\n [-11, 1, 6, 0, -23, -18, -2, 6, 6],\n [4, -5, 8, 4, -1... | -87 | MATH |
[
{
"content": "Find the inverse of 1/450 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[[-25, 19, 0, 8, -16, -3, 25, 23, -2],\n [0, 3, 20, 1, 5, 17, -16, 5, 13],\n [0, 0, 7, -12, 9, 19, 8, -9, -5],\n [0, 0, 0, -18,... | 242493 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the value at position (7, 6) rounded to the nearest integer?\n[[-20, 23, -10, 18, -2, -4, -2, 4, -6],\n [23, -14, 0, 12, -21, 12, -20, 10, -10],\n [-10, 0, 15, -3, 18, 0, 2, 8, 0],\n [18, 12, -3, -24, 5, 16, 0, -5, 7],\n [-2, -21, 18, 5, -19... | 9 | MATH |
[
{
"content": "Find the inverse of 1/450 times the matrix and calculate the sum of all entries of the inverse. Round your answer to the nearest integer:\n[[-7, 0, -23, -24, 2, -24, -4, -19, -22],\n [0, 12, 13, -6, -20, -17, 5, 0, 10],\n [0, 0, -21, 25, -16, -8, -11, 7, -21],\n [0, 0, 0, -4, -4, -11, -9, 25, 19],... | -3114 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/450 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[[-2, -12, 19, 4, 14, 21, 18, 9, -5],\n [-21, 12, -24, 14, 11, 23, 8, -15, 10],\n [-15, -17, -20, 8, 21, 11, ... | 36 | MATH |
[
{
"content": "For the inverse of 1/450 times the matrix below, what is the sum of all entries rounded to the nearest integer?\n[[-4, -17, 8, 0, -25, 10, 18, -21, 15],\n [0, -22, 22, -24, -10, -10, -4, 17, -25],\n [0, 0, -22, -8, -9, -19, 24, 19, -16],\n [0, 0, 0, -4, 6, 3, 9, -9, -14],\n [0, 0, 0, 0, -6, 16, -1... | 619 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.