messages listlengths 1 1 | ground_truth stringlengths 1 9 | dataset stringclasses 1
value |
|---|---|---|
[
{
"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[[-24, -9, -27, -17, 3, -8, 13, 11, -6, -30],\n [0, 24, 17, -16, 1, -17, 10, 30, -10, 24],\n [0, 0, -24, 5, -10, 19, 9, -19, -16, -16],\n [0, 0, 0, 4, 8, 7, -17, 24, ... | 106304 | 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[[21, 19, 8, -10, 18, -3, 1, 13, -15, 25],\n [0, -8, 17, 21, 19, -16, 24, 12, 19, -25],\n [0, 0, 8, -19, 21, 5, 0, -21, 22, 3],\n [0, 0, 0, ... | 10646 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[23, -1, 11, -2, 20, 2, -24, 11, -6, -1],\n [-1, 13, 10, 20, -12, 14, -14, -4, 6, 4],\n [11, 10, -6, 14, 22, -4, -18, 2, 14, -2],\n [-2, 20, 14, 13, -1, 1, 6, 24, -12, 7],\n [20, -12, 22, -1, -6, 16, 10, 1, 14... | 47 | 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[[-1, -9, -12, 0, -11, 16, -12, -29, 9, 8],\n [0, -23, 14, 23, -4, -16, -19, 16, -17, -24],\n [0, 0, 6, -11, -21, -12, -13, -1,... | -6017 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (7, 6) rounded to the nearest integer?\n[[-14, -8, -14, -24, -10, 2, 14, -22, -12, 8],\n [-8, -27, 12, 20, -24, -8, -2, 8, -8, -14],\n [-14, 12, 20, 24, -11, 14, 10, -9, -4, 1],\n [-24, 20, 24, -3, 8, -16, -1, 8, 4, -23... | 23 | 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[[-28, 10, -23, -5, 1, -20, 19, -30, -16, -27],\n [0, -3, -21, -20, 19, -8, 30, 16, -28, 8],\n [0, 0, -9, 21, -4, 25, -15, -15, 9, -28],\n [0, 0, 0, 11, -29, 8... | -18706 | 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, -25, 6, -24, 23, 13, -19, -24, -29],\n [29, -30, -8, -6, -13, 13, -24, 20, 23, -28],\n [-2, -21, 30, ... | -14 | 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[[11, -14, -4, -28, 29, -2, -29, -2, 18, 5],\n [0, 6, 11, -30, 29, -5, -30, 28, 27, -27],\n [0, 0, 15, -13, 3, -30, 22, -9, -15, 30],\n [0, 0, 0, -3, -3, 24, -9, 25, -25, -6],\n [0, 0, ... | -51970 | 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[[13, 7, -12, 17, 22, 24, 25, 30, 1, 15],\n [-3, 5, -13, -21, 1, -13, -19, 20, -23, 2],\n [15, 24, 7, -17, -29, -22, 30, 13, -26, 3],\n [-12, -24, 8, 11, -14, -5, 15, -4, 12, -3],\n [-1... | -1624 | 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, -10, 7, 16, -12, 15, -16, -25, 30, 25],\n [-21, 15, -15, 14, -20, 26, 4, -23, -3, -28],\n [-29, 22, -17, 21, -2, 22, 23, 16, -28, -30],\n ... | -28 | 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[[-6, 19, -17, 13, 15, -5, -13, -11, 3, -24],\n [16, 29, -21, -16, -14, -20, 3, -4, -10, 0],\n [19, 26, -27, 10, 28, 29, 18, -14, 18, 17],\n [-11... | 144 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[-12, -13, -25, 0, -6, -16, 12, 23, 6, -7],\n [-13, -13, 5, 0, -6, -9, -6, -2, -14, -16],\n [-25, 5, 4, -18, 12, -21, -16, -7, -4, 5],\n [0, 0, -18, 17, -21, -10, -10, -8, 6, -4],\n [-6, -6, 12, -21, -5, -8, 2... | 47 | 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[[-21, 2, 0, 1, -4, -12, 2, 4, 0, 4],\n [2, 24, -16, 3, 10, 1, 1, -8, -20, -6],\n [0, -16, 6, 2, 7, -8, ... | 1593 | 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[[-15, 17, -3, -10, -1, 28, -28, 3, -25, 12],\n [0, -28, 27, 2, -20, 14, -26, 19, 1, 16],\n... | 18039 | 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[[7, 25, 2, 30, -20, 14, 13, -30, 22, 16],\n [2, -28, -5, -16, 10, -17, 30, -8, 29, 23],\n [25, -23, 23, 5, -11, 21, -25, 2, -3, 19],\n [7, ... | 3434 | 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[[26, 4, 19, 6, -18, -6, 1, 28, -30, 18],\n [0, 4, 27, -12, 22, 21, 23, -19, 9, 9],\n [0, 0... | 3149 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (3, 4) rounded to the nearest integer?\n[[-26, 9, -4, 11, 10, 17, 14, -15, -12, -10],\n [9, -20, -6, 5, 4, 10, 4, 24, 23, -6],\n [-4, -6, -13, -12, -14, 20, -18, 13, -26, -24],\n [11, 5, -12, -20, -2, 8, -13, -10, 2, 24... | -4 | 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[[-23, 15, 25, 23, 0, 18, 12, 27, -15, -3],\n [0, 1, -3, -20, 11, -8, -1, -22, -3, -7],\n [0, 0, -7, -16, 8, 19, 2, 16, 3, -9],\n [0, 0, 0, 21, 16, -21, 20, 23, 29, 29],\n... | 512 | 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[[-5, 10, -19, -16, -26, 24, -8, 7, 1, 10],\n [10, -11, 2, -10, -26, -3, 2, -8, 17, 10],\n [-19, 2, 7, -16, -4, -20, 13, 2, -4, 6],\n [-16, -10, -16, -30, -28, -20, 5, -4, -6, -1],\n [-... | 9 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (3, 2) rounded to the nearest integer?\n[[-6, 17, -10, 22, 18, -12, 7, 14, -16, 2],\n [17, 2, -4, 6, 4, 10, -4, -2, -12, -8],\n [-10, -4, 21, -12, -3, 2, 10, -16, 8, 6],\n [22, 6, -12, -19, -15, 12, -17, -3, 5, 18],\n [... | 40 | MATH |
[
{
"content": "Find the value at position (5, 7) of the inverse of matrix 1/600 * A where A =\n[[-9, 18, -22, 9, -12, 17, 16, -14, -8, 7],\n [18, -1, -15, 2, 2, 18, -10, 0, 4, -14],\n [-22, -15, 13, 6, 24, 24, 0, 0, -2, -14],\n [9, 2, 6, 9, 0, -5, 30, 5, -4, 4],\n [-12, 2, 24, 0, -26, -15, -18, -4, 24, -12],\n [... | -2 | 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[[6, -18, -6, 6, 18, 0, 18, -12, -22, 6],\n [-18, 17, 15, -2, 10, 7, -8, -15, 12, 10],\n [-6, 15, 9, -3, 24, ... | -356 | 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[[-27, -4, 8, -18, -20, 9, -6, 8, 10, 0],\n [-4, -19, -11, 0, -7, -19, 11, -8, -20, -4],\n [8, -11, 0, 14, -1, 4, -4, 2, -19, 1... | 94 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[15, -2, -6, 24, -18, 20, 13, 23, -12, 27],\n [5, -3, -27, -28, 27, 7, 6, 12, -6, 10],\n [4, -2, 10, -2, -19, 4, -11, -14, 22, -19],\n [26, 19, 5, -21, -13, -1, -23, 10, 20, -18],\n [0, 26, -... | -104 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[-19, 12, 28, -1, 28, -22, -3, -27, 8, -14],\n [0, 28, -29, -8, 19, -9, 30, -5, -19, 1],\n [0, 0, -26, -5, -24, -2, 2, -7, -6, 0],\n [0, 0, 0, 14, -20, 1, -23, -11, 3, 16],\n [0, 0, 0, 0, -16, 30, -25, -26, 23... | -100 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[10, 25, 3, -9, 21, 20, -4, -25, -21, 14],\n [0, -6, -29, -21, -21, -5, -26, -9, -27, 24],\n [3, -24, 19, -14, -20, 22, 19, -23, -3, 29],\n [13, 25, 2, 21, -6, -10, -19, 28, -5, -2],\n [7, 4,... | 217 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (1, 10) rounded to the nearest integer?\n[[-12, 14, 8, 14, -5, -25, -28, -25, -3, -28],\n [-18, -18, 26, -18, -30, 30, 9, 6, 0, 21],\n [-14, -22, 14, 26, -18, 6, -17, -20, -6, 0],\n [27, -17, 26, -24, -7, 18, 5, 11, 11,... | -13 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[13, -8, 24, -3, -15, -10, 12, -14, -2, 10],\n [-8, 28, 9, 14, -6, -18, 6, 3, -11, -26],\n [24, 9, -14, -2, 1, 9, -9, 0, -8, 10],\n [-3, 14, -2, -14, 8, 26, 0, 2, -4, -17],\n [-15, -6, 1, 8, -2, -4, 10, 1... | 1077 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-28, -8, -23, -12, 22, -20, 19, -21, 27, -3],\n [-11, 13, 21, -3, -2, -23, -12, 22, 17, 28],\n [-10, -13, -22, -27, 10, -6, 3, -22, -22, -13],\n [-20, -18, 7, -22, -15, -27, 3, -24, -16, 26],\n [7, -20, ... | 1957 | 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[[12, -7, -19, -18, -15, -15, 20, 24, 21, 22],\n [0, 10, 17, -4, 8, -18, -27, 1, 14, 9],\n [0, 0, 12, -14, -7, -2, 15, -3, 14, 16],\n [0, 0,... | 22099 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-19, -20, 20, -20, 3, 16, 6, 19, -2, 22],\n [0, 17, 5, -4, 24, 11, -9, -29, 16, 5],\n [0, 0, -1, 28, -24, 26, 26, -19, -28, -14],\n [0, 0, 0, -8, 7, -1, -16, -21, 24, 28],\n [0, 0, 0, 0, 15, -5, 20, 14, -17, -28],\n [0, 0,... | -10148 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[19, -1, -17, -8, 10, 22, 16, -11, -10, 14],\n [-1, 19, 8, 2, 25, 23, 4, -4, 6, 1],\n [-17, 8, -25, -5, 2, 6, 2, -12, -7, 20],\n [-8, 2, -5, -1, -12, 20, 0, 19, 8, 2],\n [10, 25, 2, -12, 5, 23, 2, -14, 8, 9],\n [22, 23, 6, ... | 253 | 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, -21, 22, -24, -2, 9, -23, 8, -18, 15],\n [0, -20, -29, 18, -25, -2, 10, 20, -26, 10],\n [0, 0, 8, 5, -4, 19, -13, 21, 18, 5],\n [0, 0... | 5701 | 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[[6, -3, -24, 8, -14, 0, -1, -6, 2, -12],\n [-3, 22, 10, 10, 9, -6, -6, -4, 24, 14],\n [-24, 10, -4, -2, 13, 9, 10, -8, 6, -24],\n [8, 10, -2, 5, -20, -4, 10, 26, -4, -17]... | 434 | 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[[-2, -17, -22, -22, -5, 18, 16, 11, -14, 10],\n [-27, 29, 30, 15, -28, -2, -6, -10, -19, 23],\n [-30, -... | 10500 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[3, -15, -13, -13, 7, 19, 12, 1, -24, -8],\n [0, 15, 30, -13, -24, 11, 9, -7, -17, 19],\n [0, 0, 23, 26, -9, 27, -9, -21, -5, -16],\n [0, 0, 0, 24, 18, -30, -17, 5, 0, -3],\n [0, 0, 0, 0, -8, 15, 13, -12, 30, ... | 26 | 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, -28, 10, -2, 6, 24, 25, 14, -15, -15],\n [13, 19, 12, 18, -24, -16, 7, -25, -13, -12],\n [21, 20, -29, -28, 15, 23, -6, 5, 23, 18],\n [-3, 7, -3, 1, 20, 10, 5, 8, 5,... | -76 | 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[[-19, 20, -6, 20, 5, 22, -27, 4, 14, -7],\n [20, 3, 4, -22, -5, 16, -8, -1, 1, 6],\n [-6, 4, 6, 12, 18, -13, -6, 4, 9, -14],\n [20, -22, 12, 9, ... | -1173 | 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[[0, 6, -2, -1, 20, -16, -10, 8, 17, 14],\n [6, 30, 24, 1, 14, 2, -8, 14, -16, 10],\n [-2, 24, -15, -14, 20, 14, -23, 11, -... | -183 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-26, 21, 30, 7, 19, 15, -27, -3, 24, -30],\n [-18, 12, -28, 18, 19, -6, 11, -15, -10, -18],\n [21, 13, 5, -23, 13, -12, 16, 29, -15, -19],\n [-11, -13, 23, -19, 17, -6, 29, 21, -20, -9],\n [... | -44 | 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[[6, 17, 27, -6, 14, 7, 17, 19, -14, 13],\n [28, 2, 8, -17, -3, -13, 24, 2, 21, 11],\n [-16, 30, -20, 5, -16, 22, 17, -1, 27, -... | 38 | MATH |
[
{
"content": "Find the value at position (2, 8) of the inverse of matrix 1/600 * A where A =\n[[-12, -9, 4, -8, -5, -6, -10, -15, 9, 11],\n [-9, -21, -14, -7, 2, 4, -2, 2, 17, 12],\n [4, -14, 24, 18, -9, 16, -23, -2, -16, 6],\n [-8, -7, 18, 8, 1, 16, -6, -2, -4, 2],\n [-5, 2, -9, 1, -25, -10, -10, 4, -14, -6],\... | 16 | 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, 27, -4, -24, -1, 10, -17, 27, 21, 13],\n [0, -19, 22, 22, -2, -8, -18, -22, -7, 8],\n [0, 0, 29, -21, 30, 7, 27, 16, -16, -22],\n [0, 0, 0, -22, -28, -1, -22, 21, -6... | -453 | 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[[-29, -16, 16, -4, -24, -4, -10, -18, 24, -14],\n [0, 28, -21, 26, 2, -17, 6, -23, 2, -24],\n [0, 0, -24, 10, 23, 5, 24, -24, -11, -13],\n [0, 0... | -722 | 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, 26, -29, -19, -4, 15, -24, 30, 27, 27],\n [0, 22, 5, -30, 18, 4, -1, 0, -14, -23],\n [0, 0, -21, 3, -9, -27, 1, 30, -2, 15],\n [0, 0, 0, 28, 30, -27, -29, 3, 1... | 50010 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (9, 6) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[12, -3, 28, -29, -22, -25, 24, 27, -30, -28],\n [-21, 6, 13, -8, 2, -22, 22, -18, -3, 20],\n [-24, -5, -15, 9, 27, ... | -78 | 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[[5, -20, 1, 28, 27, -19, -16, 7, 27, -7],\n [0, -13, 15, 30, 25, -24, 11, 10, -29, 9],\n [0, 0, 2, 21, -1, 0, 3, -24, -6, -15],\n [0, 0, 0, -4, -14, 30, -27, 30, 27, 4],\n [0, 0, 0, 0,... | -331170 | 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, -23, 7, -18, -19, 4, 7, 23, 20, 12],\n [0, 16, -29, -16, 18, 3, 8, -5, 17, -26],\n [0, 0, 20, 3, 16, -27, 3, -4, 24, 11],\n [0, 0, 0, -26, -13, 30, -27, -30, 19, -11]... | -76 | 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[[-10, 0, -30, -18, -20, -2, -27, 5, -16, 28],\n [-28, 25, 20, -2, -10, -29, -25, 0, 23, -7],\n [9, -14, -26, -29, 27, -19, -26, 11, 29, 10]... | 4872 | 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, -8, -7, 4, 20, -21, 30, -23, 17, 17],\n [-19, -2, -2, -8, -5, 6, 1, 21, 7, 26],\n [-25, -23, -14, -19, -9, -17, 3, -12, -25, -13],\n [5, 23, 6, 7, -16, 7, 9, -22, 22... | 115 | 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, 24, 21, -17, 1, -26, -9, -3, 12, -19],\n [-13, 5, 0, -18, -11, 29, 14, 5, 24, 30],\n [24, -24, -8, 3, 22, 27, 19, 1, ... | 133 | 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, 0, 6, 27, 25, -12, -8, 4, 23, 19],\n [0, -25, 25, 6, -1, -30, -23, -3, -6, 2],\n [0, 0, 7, 21, -17, -20, -29, 22, -1, -1],\n [0, 0, 0, 7, -28, -22, -17, 21, -20... | 48266 | 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[[-23, 14, -2, -12, -16, 13, 21, -4, -20, -19],\n [14, 16, -16, -10, 8, -19, 1, -18, -14, 6],\n [-2, -16, 5, -14, 13, -4, 6, -8, 6, -4],\n [-12, -10, -14, -6, 18, 1, 8, -1... | -423 | 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[[-12, 1, 23, -3, 10, -23, 11, 10, 28, 28],\n [0, 8, -9, -7, 7, -29, 30, 10, 10, -12],\n [0, 0, -3, 1, -12, -15, -1, -9, -17, 21],\n [0, 0, 0, 23, -29, -9, 15, 2, -16... | 157529 | 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[[-23, 5, -2, -18, 28, -6, -9, 15, 2, 6],\n [0, -24, -8, -25, -16, -16, 9, 3, -17, -2],\n [0, 0, -8, -21, 16, 24, -27, -19, 11, 3],\n [0, 0, 0, -3, -25, -17, 24, 4, 16, 27],\n [0, 0, 0,... | 9905 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[29, 26, -2, -12, 0, -22, -21, 6, -21, 23],\n [0, -6, 26, 23, 25, -27, 22, -26, -8, 8],\n [0, 0, 21, -23, -14, -30, 23, 19, -19, 4],\n [0, 0, 0, -13, -21, 24, -16, 11, 2, -12],\n [0, 0, 0, 0,... | 2183 | 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[[-29, -9, 29, -26, -24, -11, -3, -18, -29, 1],\n [-5, -28, 10, 11, 25, -18, 26, -10, 14, 6],\n [-8, -24, -14... | -105 | 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[[-1, 2, -2, 10, 2, -12, 26, 25, 2, -20],\n [2, -19, -8, 10, 18, -13, -6, -21, 9, -4],\n [-... | 57 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-17, 5, 18, -6, 9, -13, -8, 4, 26, 0],\n [5, -7, 12, -1, 12, -12, 3, -3, 4, -24],\n [18, 12, 12, -5, 4, -5, 16, -3, -18, 4],\n [-6, -1, -5, 16, 20, 25, -9, -7, -22, -3],\n [9, 12, 4, 20, 16, 21, 12, 22, -7, -2],\n [-13, -1... | -43 | 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[[-5, -11, 7, 10, 24, 0, -23, -8, 19, -6],\n [0, -30, 15, -13, -12, 20, 11, 21, 22, -25],\n [0, 0, 14, -23, 23, 11, -22, 6, 24, -4],\n [0, 0, 0, ... | 15 | 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[[-3, -8, -10, 21, -5, 0, 20, 5, -26, -21],\n [-8, -26, 0, 12, 0, 2, -10, -4, 11, -8],\n [-10, 0, 14, 0, 10, ... | 847 | 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, -20, -13, -15, -14, -7, 3, -27, 4, -16],\n [-29, 25, 20, 0, -22, -21, 22, -6, 20, 29],\n [-26, -17, 11, 17, 7, 26, 9, -29,... | 33 | 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[[-11, -21, -22, -19, 2, 1, 3, -12, 2, 17],\n [0, 19, 19, -8, -5, 14, 23, 13, 10, 6],\n [0, 0, -18, 17, 29, 11, -15, 15, 26, -29],\n [0, 0, ... | 9264 | 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[[-24, 21, -4, -19, -11, 26, -17, -21, 10, -8],\n [-1, 16, 27, 0, 21, 25, -21, -12, -12, 13],\n [-8, 30, 28, ... | 109 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (4, 2) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-7, 17, 22, 20, 23, 7, -17, 6, 6, -25],\n [-13, -9, -13, 20, -29, 1, -14, 29, -30, -22],\n [-18, 5, 6, 27, -1, 0, -... | 13 | 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[[18, -22, -12, -8, 26, 10, -3, -15, -5, 7],\n [0, -6, 4, 23, -26, -24, -8, -6, -30, -9],\n [0, 0, 27, -... | 709922 | 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[[14, 26, -22, 7, -14, -14, 10, -2, -6, -4],\n [26, -24, -6, 16, -10, -13, -9, 2, -14, 18],\n [-22, -6, 20, 4, 18, -13, -22, -15, -16, -2],\... | 47072 | 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[[-21, 13, -2, -22, -7, -3, -5, 25, -6, 10],\n [13, 12, 1, 28, -11, 24, 13, 8, 1, -8],\n [-2, 1, -5, 7, ... | 766 | 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[[-11, -23, 23, -29, 6, -27, -21, -11, 29, 25],\n [0, 4, 17, -21, -3, -16, 5, -30, -9, -4],\n [0, 0, -21, -11... | -316 | 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[[30, -16, -14, -12, 7, -22, -4, 18, -16, 6],\n [-3, 19, 24, -27, -10, 25, 3, -12, 28, 6],\n [27, -27, 6, 20, 1, 14, 17, -1... | 224 | 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[[6, -25, -11, 1, 15, 13, -2, -27, -24, 12],\n [-11, 3, 5, -24, 2, -16, 21, 1, -9, 25],\n [9, -2, -6, -26, -1... | -52 | 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[[-12, -22, 4, -27, 14, 11, 1, 15, -25, -3],\n [0, 9, 20, -2, 11, 23, -26, -26, 6, 10],\n [0, 0, -3, 10, 16, -22, -2, -17, 7, 23],\n [0, 0, 0, 6,... | 127 | 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[[-8, -19, 26, -2, -4, -25, -10, -24, 12, 10],\n [-15, -26, -16, -10, 27, -27, -26, -24, 4, 5],\n [26, -16, -3, -29, 25, 26, -26, -24, -9, 18],\n... | -89 | 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[[7, 27, 22, -23, -22, 14, -14, 10, -18, -22],\n [-25, -4, 11, 6, 8, 12, -7, -22, 26, 11],\n [-20, 4, -2, -23, -14, -24, -19, 1... | 139 | 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[[-29, -9, 28, -11, 29, 12, -26, -25, 4, -30],\n [0, -28, 23, 5, -24, -2, -16, -20, -13, 13],\n [0, 0, -20, -25, 27, 20, 27, 29, -13, -16],\n [0, 0, 0, 3, -1, -12, 30, -22, 9, 13],\n [0... | 56068 | 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[[21, 14, 18, -8, -12, 8, 10, 18, 16, 7],\n [14, -20, 1, -18, 8, 3, -7, -23, -12, -20],\n [18, 1, -10, -6, -25, -20, -8, -2, -2, -9],\n [-8, -18,... | 174 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (4, 10) of the inverse. Round your answer to the nearest integer:\n[[-8, -10, 8, 0, 26, -26, 24, -12, -16, 13],\n [-10, -29, -4, -4, 8, -8, 24, -2, -1, -21],\n [8, -4, -24, 8, -2, 1, -2, -6, -15, -14],\n [0, -4, 8, -15,... | 32 | 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[[-2, -12, 6, -10, -7, -5, 10, 25, -19, 17],\n [0, 16, 18, -1, -16, -28, 18, -18, 28, -22],\n [0, 0, -15, 20, -17, -23, 23, -12, 26, 25],\n [0, 0, 0, -10... | 2137 | 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, 2, 0, 15, 30, 10, -13, 7, 16, 0],\n [-15, 9, 20, 6, -17, 8, -27, -1, 29, 22],\n [2, 5, -1, -17, -8, 17, -3, 27, -24, 11],\n [-21, -27, 13, 7, -18, -... | 144 | 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[[-29, -3, 12, 3, 8, 2, -2, -11, -6, 0],\n [-3, -14, -14, -18, 6, -10, 8, 0, 10, 1],\n [12, -14, -8, 14, -5, 8, 14, -14, -18, 1],\n [3, -18, 14, -2, 2, -18, -4, 25, 9, 15],\n [8, 6, -5,... | 82 | 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, 27, -15, 8, -6, -18, -26, -1, -30, -26],\n [0, -17, -20, 3, 25, -2, -13, -16, 15, -6],\n [0, 0, -29, 20, 9, -4, 23, 18, -... | 102999 | 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[[4, -16, 19, 13, -1, 14, 2, 5, 9, 20],\n [22, -1, -5, -10, 6, 12, 26, 0, 25, 25],\n [30, 30, -14, -14, 3, -7... | -23 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-7, -27, 25, 14, 10, -28, 17, -9, 9, 27],\n [8, 26, 24, 18, -6, 29, 17, 22, -9, 19],\n [17, 16, 3, 30, -11, 5, 6, 8, 30, -4],\n [29, 16, 18, 1, 11, 21, -2, 10, 17, 1],\n [-7, -28, 23, -4, -22, 9, -8, -24... | 6038 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (9, 6) rounded to the nearest integer?\n[[-27, 19, -28, -15, -17, 25, 10, 7, -27, 28],\n [0, 24, -21, -20, 8, -5, 26, 6, -5, -27],\n [0, 0, -3, -29, -29, -15, 29, 26, -8, -8],\n [0, 0, 0, -6, 27, 6, 26, 18, -18, -16],\n... | 0 | 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[[-12, -17, 5, 6, -20, -4, -29, -9, -29, -11],\n [0, 17, -14, -27, -17, -24, -16, -1, -15, 9],\n [0, 0, -30, 0, 24, -27, -4, 27, 25, 22],\n [0, 0, 0, -21, 19, 2, 18, 17, 13, 29],\... | 103 | 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[[-18, 23, -13, 9, -20, 11, -2, -27, -6, 5],\n [5, 30, 13, 9, -3, 14, -23, -10, 4, 13],\n [-13, 16, -6, 15, 10, -26, 30, 16... | -110 | 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[[-6, -2, 2, -18, -12, -10, 10, -8, -18, -8],\n [-2, 22, 0, -14, 21, -14, -10, -2, -20, 18]... | -356 | 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[[5, 0, -12, -11, 10, -6, -6, 6, -18, -10],\n [0, 11, 6, 4, -11, 12, -15, -2, -22, -6],\n [-12, 6, -15, 2, -26, 12, -2, 6, -12, 18],\n [-11, 4, 2, -12, -4, 26, 8, 25, -20,... | 3858 | 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[[10, -4, -6, -5, 10, -22, 6, -12, -7, 13],\n [-4, -18, -20, -18, 16, 10, -7, 15, 0, -20],\n [-6, -20, -28, 19, 4, 6, 6, 8, -17... | 64 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-8, -12, -14, 4, -23, -10, -12, 0, -2, -3],\n [-12, 6, 6, -6, 22, 16, 0, -2, -4, 20],\n [-14, 6, -12, 14, -10, 2, 22, -26, 2, -7],\n [4, -6, 14, -16, -19, 24, -6, 1, -16, -11],\n [-23, 22, -... | -60 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[-8, 12, 18, -7, 16, -6, -24, 26, 27, 7],\n [0, 16, 8, 4, -17, -22, -28, 7, -11, 10],\n [0, 0, 13, 1, 5, -5, 17, -26, 28, 30],\n [0, 0, 0, -25, 27, 30, -16, -30, -18, 17],\n [0, 0, 0, 0, 24, -29, 22, 26, 13, -... | -71 | 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[[15, -1, -24, -29, -14, -20, 19, 30, -19, -28],\n [-10, -17, -16, 20, 11, 10, -21, 21, 24, 5],\n [20, -21, -14, 13, -6, 30, -4... | -1417 | 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[[-26, 8, -22, -17, -4, -22, 5, -2, -11, -16],\n [5, -28, 25, 22, -8, 27, 23, 15, -22, -1],\n [-12, 7, -28, 19, 17, -28, 3, -29, 27, -4],\n [-8, 11, 1, 16, 4, ... | 30 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-18, 8, 10, -4, -2, 2, 10, -17, -10, 2],\n [8, 30, -6, -2, 8, -1, -21, 13, -10, -4],\n [10, -6, 8, 8, -14, -4, -10, 16, 12, 8],\n [-4, -2, 8, -7, 3, 4, -20, 0, 7, 4],\n [-2, 8, -14, 3, -15, -2, 0, -7, 6, 5],\n [2, -1, -4, ... | 451 | MATH |
[
{
"content": "Find the value at position (1, 10) of the inverse of matrix 1/600 * A where A =\n[[7, -11, 14, 19, -7, 16, 16, -23, 20, 24],\n [-17, 8, -17, -26, 16, -10, -16, 25, 5, 2],\n [-14, 26, -11, -30, -15, 14, -13, -21, -8, -13],\n [18, 27, -22, 15, 22, -1, -18, 21, 21, 0],\n [15, 12, -18, 1, -14, -28, 30... | 0 | 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[[15, -22, 4, 7, 4, 2, 27, 23, 22, 4],\n [0, -11, -29, 13, -5, 11, -18, -1, 21, 1],\n [0, 0, -9, -30, 26, -20, -5, 17, -12, -12],\n [0, 0, 0, 25, -13, 18, -26, 17, -7, -17],\n [0, 0, 0,... | 3278 | 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[[7, 8, 26, -8, -1, 8, -10, 20, 12, 10],\n [8, 9, -4, -8, -20, -8, -4, 10, -8, -12],\n [26, -4, 29, 2, 14, 7, -24, 6, 4, 4],\n ... | -513 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (5, 6) of the inverse. Round your answer to the nearest integer:\n[[2, -20, -10, -28, -6, 2, 1, -16, -2, 16],\n [-20, -17, -26, -11, 14, 1, -5, -12, -22, -4],\n [-10, -26, 12, -12, -10, 4, 6, -18, 14, -21],\n [-28, -11,... | -15 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (4, 3) rounded to the nearest integer?\n[[8, -26, 13, 10, -2, 12, 5, -17, 27, 13],\n [0, -24, -8, 2, 28, 14, -15, 6, 20, -6],\n [0, 0, -3, -22, -19, -13, -4, -5, 25, -5],\n [0, 0, 0, -14, 20, 1, -7, 12, 17, -23],\n [0, ... | 0 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[13, 22, -12, -8, 16, 19, -23, -6, 7, 26],\n [7, 4, -5, -28, -29, -26, 30, -11, -19, 7],\n [-15, 6, 7, 5, 15, -2, 4, 18, 6, 23],\n [-10, -10, -3, -25, -11, 29, 5, 28, -18, 9],\n [-20, -7, 29, -12, -8, 0, 6, 6, 29, 30],\n [-... | -128 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.