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 sum of all entries of the inverse. Round your answer to the nearest integer:\n[[17, -16, -23, -17, -8, 29, 26, 9, -10, -15],\n [0, -13, 16, 22, -7, -5, -6, 29, 29, 29],\n [0, 0, -2, -16, 14, -30, -6, -24, -22, -7],\n [0, 0, 0, -7, -20, 2... | -219570 | 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[[-2, 5, -18, 1, -24, 28, 20, -9, -3, -29],\n [0, 14, 26, 22, -25, -3, -3, 13, 13, -11],\n [0, 0, 27, 24, -3,... | 97 | 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, -20, 17, -15, 2, -22, 29, 28, -25, -15],\n [-2, -28, -11, 29, 28, 5, -12, -5, -28, -12],\n [-11, 1, -24, 21, 10, 2, 9, 8, -13, 9],\n [... | 584 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (2, 10) rounded to the nearest integer?\n[[-10, 17, -11, 25, -23, -24, -28, -14, 2, 17],\n [0, 28, 20, -9, 24, -9, 15, -1, 7, 7],\n [0, 0, 23, -23, -4, -4, 3, -10, -1, 2],\n [0, 0, 0, -26, 29, 30, 17, -12, -27, 4],\n [0... | -4984 | 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[[-5, 4, 19, -6, -7, -18, 29, 27, -24, 26],\n [5, 14, -11, -30, -23, 15, -15, -17, -19, 20],\n [-8, -16, -3, 3, -29, 1, -8, -9, 20, -6],\n [27, 30, -9, 27, 27,... | 308 | 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[[30, 8, -26, -9, -2, 24, -28, -19, -5, -15],\n [20, 6, -9, 26, -2, -17, -3, -26, 16, 18],\n [-1, 15, 21, -26, -19, -15, -5, -5, 17, -10],\n... | 1429 | 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[[-5, 3, 20, 10, -24, -27, 27, 22, 19, 14],\n [0, -2, 25, 5, -6, -10, 30, 26, 5, -21],\n [0, 0, -7, 4, 18, 4, 17, 5, -13, 18],\n [0, 0, 0, -8, 1, 6, -19, 18, 24, -18]... | 545136 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[16, -19, -22, -21, 27, 13, -14, 30, 7, -24],\n [15, -18, 9, 11, -22, 19, -4, 27, -29, -26],\n [-2, 6, 7, -12, -23, 17, 14, -30, -9, 21],\n [-14, -24, -6, 14, -27, 5, -25, 29, 0, -12],\n [30,... | -88 | 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[[-30, 22, 23, 23, -28, -15, -8, 26, -20, -19],\n [-21, 1, -15, -23, 7, -19, -7, -3, 22, -23],\n [27, -3, 5, -5, -23, 27, 29, 19, -3, -3],\n [6, 10, 5, -4, 23, -14, -... | 3579 | 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, 0, -10, 4, -14, 5, -16, 4, 20, -4],\n [0, 14, -20, -23, -6, 13, 2, 0, -6, -16],\n [-10, -20, 8, -18, 22,... | 126 | 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, 24, -15, 0, -20, 23, -15, -23, -27, 9],\n [-27, 25, -6, -28, 1, -28, -4, -2, 1, 19],\n [30, 27, 20, -12, -10, -26, -13, -3, 11, 30],\n [-9,... | -13 | 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, -3, -21, 8, 26, -14, 8, -9, -5, 13],\n [-6, -14, -18, -11, -6, -27, -21, -28, 10, 14],\n [-13, 16, 5, 16, -9, 3, 16, -23, ... | 53 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[-11, 4, -16, -6, -8, 20, 0, -8, -3, 18],\n [4, -20, -10, -6, 6, -24, 0, -10, 6, 16],\n [-16, -10, -8, -22, 6, -26, -20, -8, -21, -4],\n [-6, -6, -22, -14, -2, -8, -18, -10, 8, 8],\n [-8, 6, 6, -2, -26, 5, 12,... | -109 | 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[[24, -29, -17, 22, 9, 9, 20, 8, 20, -25],\n [-25, -28, -24, 20, -23, 11, 21, -16, 16, -2],\n [2, 21, -1, 8, -4, 5, -2, 7, 26, ... | 158 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-27, -24, -2, -12, -22, 3, 15, -14, 10, 9],\n [-24, 23, 18, 10, -19, -6, 19, 6, -15, -6],\n [-2, 18, 6, 7, 8, 11, 9, 8, 5, 28],\n [-12, 10, 7, 20, 18, -22, 9, 9, -23, 16],\n [-22, -19, 8, 18, 22, -14, 15, 11, 4, 6],\n [3, ... | 55 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (6, 10) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-8, 20, 28, 25, -12, 1, -1, -2, 18, 14],\n [0, -1, -15, 9, -12, -13, -30, -17, 20, 16],\n [0, 0, 23, -3, 18, 19, -... | 12 | 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[[-12, 5, -2, 29, -13, -29, -30, 16, -26, -11],\n [0, 11, -29, -28, -8, 24, -19, -11, -26, 6],\n [0, 0, -22, 3, 22, 13, 4, 21, 27, -9],\n [0, 0, 0, -21, -1, 25... | -8224 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[-10, -3, 27, 15, -29, 29, 23, 12, -30, 20],\n [0, 5, 20, -5, -2, -10, -20, 9, -20, 5],\n [0, 0, 8, 9, 4, 23, 3, 24, 16, -7],\n [0, 0, 0, 25, 2, 27, 5, 16, -11, -12],\n [0, 0, 0, 0, 28, 14, 12, 3, -22, -5... | 7229 | 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, -23, -6, -13, -6, -19, -16, 28, -5, 10],\n [14, -5, 16, 1, -21, -15, -24, -14, -8, -5],\n [-10, -9, 27, -24, -17, -16, 22, -24, -22, ... | 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[[13, 17, -8, 4, 10, -2, 12, -13, 8, 2],\n [17, -11, -4, -26, 14, 0, -2, 12, -12, 14],\n [-8, -4, -27, -14, 6, -2, 20, -6, 20, 17],\n [4, -26, -14, 18, 19, -6, -4, 4, 3, 7... | 113 | 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, 25, 30, 16, -6, -22, -27, -17, 6, 3],\n [0, 10, 25, -28, 28, -3, -2, -22, -28, -6],\n [0, 0, 11, -22, ... | 79 | 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[[22, -10, 8, 0, -4, -4, 0, 2, -8, -14],\n [-10, 8, -14, -12, -10, -2, -8, 24, 15, -14],\n [8, -14, 3, 4, -8,... | 812 | 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, 21, 1, -29, 16, -17, -11, -9, -20, -4],\n [0, -14, 13, 25, -3, -2, -10, 16, -15, 6],\n [0, 0, -25, -12, 26, -26, -28, 28, -30, 27],\n [0, ... | 44 | 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[[-13, -18, 10, -8, -12, 14, -20, -30, -7, 23],\n [0, -6, -10, -16, -30, -19, 27, -24, -16, -10],\n [0, ... | 100988 | 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[[-2, 16, -3, 4, -23, -15, 11, 5, -1, -13],\n [-29, 18, -18, -27, -5, -6, -1, -20, -24, 0],\n [13, -21, 8, -18, 0, -24, 25, 18, 11, 30],\n [11, 25, 5, -1... | -38 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (4, 6) of the inverse. Round your answer to the nearest integer:\n[[-3, -15, 4, -12, -10, -24, -14, -23, 16, 4],\n [-15, -29, 7, -8, -2, -16, -26, 1, 8, 14],\n [4, 7, 18, -4, -10, 6, 18, -5, -6, -14],\n [-12, -8, -4, 1,... | 21 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[24, -15, -19, -14, -15, -19, -23, -11, -28, -15],\n [-1, 14, -8, -3, 20, 9, 23, -26, -11, 9],\n [25, 13, -30, 26, -1, -10, -11, -25, -9, -13],\n [-23, 8, 1, 2, 22, -15, -19, 7, 21, 3],\n [30, -17, 5, 2, -8, 19, 14, -29, 10... | -47 | 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[[-13, -8, 5, -12, -10, -2, -20, -11, 25, 4],\n [-8, 5, -14, -7, -16, 6, -6, 0, -4, 18],\n [5, -14, 4, -8, -22, 3, -20, 7, -6, -8],\n [-12, -7, -... | 76 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (6, 4) rounded to the nearest integer?\n[[8, 19, 6, 21, 30, 4, -24, -4, -3, -9],\n [-17, -24, 6, 30, -9, -26, 24, -29, -4, -10],\n [23, 7, -16, -10, -21, -8, 27, 25, 8, -26],\n [-30, -18, -10, -5, 19, 14, -10, 22, -13, ... | 9 | 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[[-8, -15, 9, -4, 0, 1, -2, -2, 8, -7],\n [-15, -18, -15, 3, -17, 14, -6, 19, 1, -14],\n [9... | -84 | 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[[28, -14, 15, 4, -13, -5, -8, -4, 2, -20],\n [-14, 13, 0, 5, 3, 8, 9, 6, 10, -2],\n [15, 0, 24, -8, 4, ... | 1908 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (9, 5) rounded to the nearest integer?\n[[-21, -10, 15, 8, -4, -4, -29, 10, 17, -18],\n [0, 21, 5, -9, 11, -5, 27, 23, -19, -14],\n [0, 0, 26, 3, 22, 26, -11, -20, -15, 20],\n [0, 0, 0, 25, -12, 6, 27, -27, 16, 30],\n [... | 0 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[17, 14, 5, -1, 24, 18, 24, 2, -13, 21],\n [0, 28, -3, 28, 16, -20, 26, 29, 23, 14],\n [0, 0, -25, -27, -11, 17, 16, -4, -16, -25],\n [0, 0, 0, -20, 8, -22, -5, -15, -26, 26],\n [0, 0, 0, 0, ... | -643 | 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[[11, -1, -9, -3, -24, 4, 24, -3, -17, 25],\n [-21, -15, -15, 23, 0, 11, -6, -18, -25, 13],\n [-22, 14, 5, 25, 12, -11, -13, 27, 12, 26],\n [-10, -27, 19, 2, -4, -24,... | 20545 | 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[[3, -30, -21, -10, -26, -29, -9, 17, 26, -29],\n [-21, 3, -15, 17, 20, 30, 8, -9, -19, -7],\n [16, 9, 7, 29, 28, -21, 4, 20, 18, 1],\n [-24, -10, -11, -5, -27... | 38 | 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[[-25, -19, -29, -24, -15, -28, 14, -28, -4, 19],\n [12, 9, 7, 2, -3, -30, 24, -23, 6, 1],\n [29, 17, 12, 6, -27, -1, -25, 15, 23, -12],\n [1, -22, -19, -20, 15, 24, ... | 897 | 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[[3, 10, 20, 16, -13, 27, -20, 26, -8, 17],\n [0, -14, -26, 13, -20, -1, -16, -4, 4, 2],\n [0, 0, -15, 3, -29, 4, 9, 25, -3, 16],\n [0, 0, 0, -11, 29, -30, -23, 24, -8, -28],\n [0, 0, 0... | 4130 | MATH |
[
{
"content": "Find the value at position (8, 9) of the inverse of matrix 1/600 * A where A =\n[[-28, 20, -2, 0, 4, -10, 9, -26, -16, -20],\n [20, 29, 23, 10, 1, -1, -2, 17, -7, 24],\n [-2, 23, 30, -6, 18, 6, 7, -10, -2, 3],\n [0, 10, -6, -20, -2, 14, 14, 25, -8, 7],\n [4, 1, 18, -2, -3, -19, -20, 20, 0, 16],\n ... | -50 | 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[[-2, -9, 9, -10, 20, 7, -11, 26, -2, 20],\n [0, 24, -24, -3, -3, -27, -9, -19, 14, -28],\n [0, 0, -29, -7, 3, -4, 24, 10, -30, -23],\n [0, 0, 0, -9, -6, -13, ... | -647 | 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[[-6, -8, -7, 26, 7, -3, -10, 23, 12, -13],\n [0, 4, 14, 24, -22, 22, 7, 27, -1, 29],\n [0, 0, 1, -28, -28, -3, 13, -16, 10, -8],\n [0, 0, 0, 1, 27, 28, ... | -6 | 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[[20, 23, -19, 21, 16, -8, 1, 8, 10, 2],\n [23, 30, 18, 6, 22, 10, 6, -2, -17, -26],\n [-19... | -38 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-20, 10, 0, 20, -20, 10, -16, 15, -18, 10],\n [10, -26, 3, 26, 8, 15, 18, 0, 0, -18],\n [0, 3, -12, 0, 18, 14, 14, 24, 1, -20],\n [20, 26, 0, 7, 0, 9, -10, -17, -12, -12],\n [-20, 8, 18, 0, -14, -4, 4, -18, -3, -21],\n [10... | 67 | 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, -1, 16, 4, -12, 19, -23, -5, 18, 9],\n [0, -1, -24, -28, -30, 5, -6, 6, -30, -16],\n [0, 0, 9, -23, -26, 29, -22, -30, 5, 4],\n [0, 0,... | 130551 | 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, -9, 0, -14, 24, -8, 1, -21, -21, 5],\n [0, 23, 21, -11, 1, 19, -17, 19, -3, 15],\n [0, 0, -7, -16, -9, ... | -241 | 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, 16, -8, -10, -10, 12, -18, 6, 2],\n [-7, 13, -20, -14, -27, 16, -6, -1, -22, -10],\n [-11, -12, -1... | -77 | MATH |
[
{
"content": "Find the value at position (1, 10) of the inverse of matrix 1/600 * A where A =\n[[-18, 6, 7, -7, -29, -9, -14, 5, -17, -21],\n [0, -6, -28, 16, 7, -14, -19, 23, 21, -7],\n [0, 0, -6, 5, 27, 29, -5, 7, -30, -11],\n [0, 0, 0, 16, -14, 9, -3, 27, -19, -4],\n [0, 0, 0, 0, 16, -1, 10, 3, 6, -25],\n [0... | -28497 | 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[[-5, -4, -6, 23, -4, 18, -10, 10, -1, -4],\n [-4, 1, 12, -16, 13, 0, 26, 11, 14, -5],\n [-6, 12, -5, 2, 0, 24, 18, -11, -19, -3],\n [23, -16, 2, -27, 12, -2, ... | 204 | 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[[-20, 8, -8, 16, -27, 13, -12, -15, -10, 6],\n [8, 25, 10, -4, 14, -10, -11, 8, 6, 0],\n [-8, 10, 24, 18, 24... | -323 | 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[[20, -30, 1, -6, -2, -24, 18, -28, -11, -11],\n [22, -1, 4, 4, 18, 8, -4, -5, -17, -14],\n [-13, 14, 21, -2, -11, 22, -4, -13, -27, -30],\n... | 724 | 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[[-30, -28, 16, -7, -4, 9, 30, 5, 3, -2],\n [-7, -7, 11, -27, -28, 3, 26, 18, -8, 22],\n [25, 21, -8, 14, -26, 0, 22, 10, 26, 3... | 91 | 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[[-27, 17, 21, 16, -6, 28, -10, 6, 7, 18],\n [0, -6, 20, 5, -14, 10, -7, -29, 9, -16],\n [0, 0, 28, -25,... | 23491 | 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[[-21, -6, -11, 0, -27, 13, -8, -29, 25, -9],\n [0, 26, 6, -23, -24, -17, 25, 24, -28, 19],... | 430 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (10, 7) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-19, 2, 13, -20, -18, 4, -14, -2, -21, -8],\n [2, -7, -2, 6, -6, 12, 17, 14, -8, 6],\n [13, -2, 7, 2, -12, 20, 4, ... | -533 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[19, -4, 23, 19, 4, 21, 28, -10, -6, -3],\n [0, -16, -27, -2, 28, -22, -4, -5, -12, 25],\n [0, 0, 12, 26, 10, 11, 19, -11, 14, 9],\n [0, 0, 0, -8, 16, 1, 21, 16, 2, 26],\n [0, 0, 0, 0, 3, 9, -20, 30, 19, ... | 807466 | 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, 17, 1, -12, 8, -10, -7, 20, 17, 1],\n [17, -16, -6, 6, 10, 2, 4, 10, 20, 6],\n [1, -6, -24, 1, 5, 20, -6, -16, 4, -19],\n [-12, 6, 1, -17, -10, 4, 26, -8, 12, -9],\n... | -32 | 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[[23, -26, 11, -8, -14, -19, -8, -15, -28, -1],\n [0, -9, -22, -2, 16, 6, -8, -18, 1, 15],\n [0, 0, 17, -8, 14, -14, 24, 9, -10... | -4579 | 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, -24, -18, -26, -5, 18, -28, -24, 27, 18],\n [8, 22, -30, 18, -14, 12, -6, 28, 30, -28],\n [-16, -2, 22, 12, 1, -5, 29, -15, -6, 23],\... | 1160 | 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[[28, 20, 2, -3, 12, -8, 2, 5, -12, 10],\n [20, -29, 18, -7, 12, -4, 20, 16, 22, 10],\n [2, 18, -6, 3, -24, -11, 4, 26, -7,... | 303 | 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[[-1, 29, 17, 22, 4, -9, 7, 0, -17, -7],\n [0, 18, 1, 5, 1, 24, -16, 12, 27, 4],\n [0, 0, -26, -10, 30, -21, -12, -6, -27, 30],\n [0, 0, 0, ... | 34123 | 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, -17, 19, -11, 19, 17, 2, 24, 28, 12],\n [-16, -19, 9, 23, -11, -1, 7, -28, -3, 25],\n [-5, -1, -18, -18, -29, 6, 18, ... | 106 | MATH |
[
{
"content": "Find the sum of all entries of the inverse of matrix 1/600 * A where A =\n[[-11, 19, 7, -7, -21, 1, 21, -16, 6, -11],\n [-28, 6, 26, 9, -23, 9, 13, 25, -8, 9],\n [-20, 15, -23, -2, -1, 25, 29, -21, 8, -3],\n [18, 5, 30, -18, 1, 5, 6, -5, -9, -27],\n [0, -13, 7, -7, 25, -8, -9, -29, 0, 24],\n [-20,... | -1158 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (4, 5) rounded to the nearest integer?\n[[-4, -10, -13, -18, -15, -22, -19, 13, 7, -12],\n [29, -24, 26, 4, 17, -13, -15, 24, 8, -27],\n [28, -6, 1, 9, -18, 14, -14, 18, 6, -25],\n [-12, -18, 26, 29, -5, -17, 0, 23, -27... | -9 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (3, 10) rounded to the nearest integer?\n[[5, 2, -30, -16, -18, -14, -7, 27, -23, 19],\n [-4, 14, -8, 15, -23, -23, 28, -5, 16, 28],\n [-18, 8, 6, 18, -3, -6, 30, -15, 24, -29],\n [23, -13, -14, -1, 8, -18, 1, 19, -2, 1... | 29 | 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[[27, -2, -10, -10, 9, -8, 25, -25, -9, 19],\n [7, 6, 14, 20, 23, -23, 10, 18, 4, 20],\n [-20, -7, 18, -10, 20, -29, 9, -12, 8, -3],\n [28, -14, -25, -12... | -22 | 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, -22, -5, -11, 9, -21, -12, -28, -7, -26],\n [-28, 27, -4, -15, 18, -16, 4, -19, 10, 22],\n [13, -5, 16, 3, -8, 0, 19, -11, -19, -8],\n [-27, -8, 17, 24, ... | -53 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[25, 28, 14, 7, -2, -26, -22, 28, 17, -29],\n [0, 9, 29, 20, -1, -20, -3, 13, -19, 8],\n [0, 0, 28, -23, 30, 30, 23, -3, 27, -1],\n [0, 0, 0, 27, -10, 25, 16, 3, 24, 0],\n [0, 0, 0, 0, 24, -9... | 9906 | 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, 11, 10, 2, 2, -15, -13, -12, -6, 27],\n [11, -13, -22, -4, 6, 5, -10, -23, -26, -1],\n [10, -22, -12, 8, -4, -2, -6, 4, -10, -4],\n [2, -4, 8, 1, 2... | -1595 | 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[[-2, 8, 29, 3, 12, 14, -8, -26, -1, -25],\n [0, 27, 30, 15, 13, -27, -2, -8, -25, 1],\n [0, 0, -16, 9, 27, 1, -22, 6, -21, -11],\n [0, 0, 0, 28, -28, 11, -20,... | 3505 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[-6, -17, 4, 21, 17, 3, -21, 4, -20, -20],\n [-10, -10, -9, 14, -24, 24, -14, -29, -19, 26],\n [11, -13, 23, 28, -20, -15, 18, 20, -13, 4],\n [22, 28, -5, -15, -25, 26, 13, 12, 16, 16],\n [17... | -58 | 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, 11, -10, 6, -4, 24, 21, -2, -11, -6],\n [-25, 5, -29, -9, 1, -15, -13, -26, 23, 5],\n [-1, 14, -1... | 745 | MATH |
[
{
"content": "For the inverse of 1/600 times the matrix below, what is the value at position (8, 3) rounded to the nearest integer?\n[[-30, -20, 24, -10, -27, -24, -5, 16, 19, -19],\n [0, -14, 2, -20, -3, 1, -30, 16, -3, 22],\n [11, -24, -29, 11, -7, -27, 13, -12, -5, -20],\n [9, 19, 12, -20, 14, -28, -19, -28,... | -3 | 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[[29, 5, -7, 23, -4, -29, 0, 26, -17, -29],\n [-2, -16, -19, 6, -3, -11, 30, 8, -7, -10],\n [-21, 15, -17, 6, -13, -7, -17, 3, 27, -19],\n [-9, 25, -25, 5, 14, 5, -9, -17,... | -27 | 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[[-3, -12, 15, 23, -8, 1, 9, -18, 28, -11],\n [4, -26, -22, -2, -25, -6, 0, -9, -29, 14],\n [-26, 29, -4, -6, -23, 24, -30, -11, 13, -8],\n [1, -20, 8, 16, 23, -7, -20, -2, 23, -5],\n [... | -127 | 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[[-5, -8, 12, -18, -3, -22, -11, 25, -12, 17],\n [0, 20, -19, -16, 0, 24, -17, -20, -5, 11],\n [0, 0, 7, 3, 12, -12, -25, 15, 21, 7],\n [0, 0, 0, -30, 4, 9, -2... | 2825 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 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[[-3, -14, -28, -15, 15, -1, 21, -2, 14, -16],\n [0, 25, -6, 20, 7, 11, 28, 16, 22, 23],\n [0, 0, 7, -8, -6, 11, -24,... | -112 | 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[[-29, 13, -19, -1, 5, -13, -5, 22, -24, 30],\n [-30, 27, -5, -8, -5, 14, -25, -25, 13, -23],\n [-7, -9, -12, 6, -13, 0, 6, -1, 26, 11],\n [2, -21, 6, -1... | -27 | 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, -15, -6, -22, -18, -4, 9, 17, -6, 20],\n [-15, 28, -6, 12, 2, -23, 0, 6, 22, -26],\n [-6, -6, -3, -7, -13, 16, -8, -2, 6, 12],\n [-22, 12, -7, -28, -26, -20, 8,... | 1163 | 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, -13, 28, 29, 26, -3, 20, 25, -4, 1],\n [16, -22, 9, 1, -11, -3, 2, -27, 15, 26],\n [3, 17, -28, -5, -23, -25, -15, -7, 17, 8],\n [-1, 14, -18, -26, -6, -11, 23,... | 1635 | MATH |
[
{
"content": "Find the value of the entry with the largest absolute value of the inverse of matrix 1/600 * A where A =\n[[23, -9, -15, -3, 17, 4, 29, 14, 15, -23],\n [13, 24, 24, -9, -10, -5, 9, -10, -6, 10],\n [-30, -25, -8, 20, -8, 12, 12, -8, 1, -1],\n [-18, 12, -13, -8, -16, 2, -10, 26, 8, -8],\n [-4, 14, 1... | -125 | 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, -10, 3, 4, 30, 0, 18, 0, -28, 10],\n [-10, 14, 5, 16, 13, 2, 12, -21, -4, -12],\n [3, 5, -12, -2, -20, 17, -1, -18, -23, 20],\n [4, 16, -2, -15, 2, -6, 12, -14, -5,... | 768 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (8, 3) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[-1, 22, -20, 4, 6, 30, 11, -18, 5, 25],\n [0, -19, 6, -21, 29, 25, -22, 21, -24, -29],\n [0, 0, 29, -8, 8, 9, 8, -1... | 0 | 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, -16, -14, -4, -16, -10, -10, 11, -20, 7],\n [-16, -8, -2, 8, 6, 24, -9, -2, -2, -18],\n [-14, -2, 3, -6, -14, 2, -12, 20, 0, 18],\n [-... | 14517 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (1, 6) of the inverse. Round your answer to the nearest integer:\n[[12, 5, -9, -9, -9, 3, 24, -2, 7, 28],\n [0, 2, -13, -24, -30, 2, -30, -7, -27, -27],\n [0, 0, -4, 12, 28, 1, 2, -3, 11, 10],\n [0, 0, 0, -25, -15, 3, -... | 1143 | MATH |
[
{
"content": "Calculate the inverse matrix of 1/600 times the following and determine the value at position (8, 9) of the resulting matrix. Your answer should be rounded to the nearest integer:\n[[23, 18, 18, -7, 16, -24, -12, -9, 26, 24],\n [29, 4, -1, -2, -9, -20, -11, -2, 20, 10],\n [11, 3, -30, 0, -1, 17, -... | -2 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (2, 3) of the inverse. Round your answer to the nearest integer:\n[[-25, -9, 1, 10, -11, -30, 23, 16, 22, 27],\n [-25, -12, -13, -25, 14, 2, -8, -8, -5, -18],\n [-24, -16, 13, -4, -5, 2, -16, 5, 14, 24],\n [-4, 26, -26,... | 685 | 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, 5, 19, -24, -18, -16, -6, -8, 29, -9],\n [0, 2, -20, -21, -6, 6, 17, 12, 22, 7],\n [0, 0, -7, 9, 15, 25, 2, -14, -7,... | 1263 | 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, -13, 17, 3, -8, 4, -12, -12, 8, 8],\n [-13, 12, -3, 9, -15, -6, 4, 17, 11, 4],\n [17, -3, 15, -3, -5, -20, -6, 16, 1... | -25 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (1, 10) of the inverse. Round your answer to the nearest integer:\n[[24, -19, 9, -29, 5, -17, -15, -12, 3, 13],\n [0, 15, -25, -18, 5, -9, -13, -19, 21, 28],\n [0, 0, 22, 20, 9, -24, 1, 17, -12, -25],\n [0, 0, 0, 12, 6,... | -248 | MATH |
[
{
"content": "Find the value at position (10, 9) of the inverse of matrix 1/600 * A where A =\n[[-19, -16, -16, 10, -18, 4, 24, 5, 0, 18],\n [-16, -22, -20, 0, 10, -4, 18, 24, 3, -10],\n [-16, -20, 17, -2, -2, -6, 2, -6, 6, -3],\n [10, 0, -2, -10, -16, 2, 16, 6, 8, 2],\n [-18, 10, -2, -16, -22, -26, -13, 4, 9, ... | 10 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[9, 4, -8, 10, -8, 0, -10, -6, -8, -9],\n [4, 2, 10, 10, -8, 16, 4, -4, 14, 9],\n [-8, 10, -7, -22, 2, 11, 20, 8, -17, -8],\n [10, 10, -22, -29, 19, -10, 11, 6, -1, -18],\n [-8, -8, 2, 19, -12, -22, -10, ... | 1122 | 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[[-16, 6, -18, -26, -20, -21, 21, -18, 10, 22],\n [15, 19, -16, 11, 25, -24, 9, -3, 1, 4],\n [-16, 17, 5, -10, -25, -30, -27, -20, 13, -5],\n [30, 6, -8, -2, -10, 17, 14, ... | -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[[-26, -2, -12, 23, 20, -21, -19, 23, -27, 0],\n [-13, -15, 9, 5, -6, -8, -19, 3, 5, 6],\n [-28, -22, 30, 22, -13, 12, 4, 26, 24, 3],\n [10, -17, -27, -2, 10, 14, 19, -16,... | 64 | 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[[13, 12, 2, -11, -11, 22, -4, 8, 8, 20],\n [12, 29, 22, -14, 4, 2, 18, 1, 0, 22],\n [2, 22, -8, 4, 14, 6, -3, 6, -6, -3],\n [-11, -14, 4, -14, 12, -10, -18, -... | -66 | MATH |
[
{
"content": "Find the inverse of 1/600 times the matrix and calculate the value at position (10, 2) of the inverse. Round your answer to the nearest integer:\n[[-17, 12, 14, 12, 13, 12, 14, 6, 20, -24],\n [12, -25, 20, -20, -26, 20, 6, 10, -7, -4],\n [14, 20, -8, 4, 0, 16, 8, -18, -12, -20],\n [12, -20, 4, 16,... | -4 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the inverse of matrix 1/600 * A where A =\n[[9, 14, -27, 7, -6, -26, -1, -19, -27, -7],\n [0, -22, -27, 20, -7, -17, -26, -13, 11, 26],\n [0, 0, -13, -14, -1, -7, -20, 4, -8, -14],\n [0, 0, 0, 29, -22, -16, -3, -7, 29, 30],\n [0, 0, 0, 0, 14, -19, ... | 6272 | 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, -29, 12, -17, -9, 0, -8, 17, -11, 30],\n [7, 24, -27, -16, -7, -6, -30, -24, 26, 0],\n [-19, 11, -26, 13, 19, 11, 7, 29, -19, 8],\n [-13, ... | -99 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the inverse of matrix 1/600 * A where A =\n[[28, 4, -28, -27, 26, 6, 9, 17, 23, 4],\n [0, 25, 13, -6, 9, -18, -27, 15, -17, -18],\n [-4, -25, -14, 5, 9, 18, 4, -14, 10, -29],\n [26, -18, 21, -29, 21, -3, 12, 28, -5, -9],\n [16, 12, 24, -28, 4, 29, 27, -... | -13 | 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, -14, 14, -20, -25, 30, -8, -4, 15, -25],\n [7, -29, -9, -11, -6, -16, 29, 18, -2, -23],\n [6, 18, 21, 2, -9, 19, 16, -26, 8, -13],\n [7, 23, 22, 6, -1, 20, 0, -21, -16, 11],\n [28, 17, 13... | 76 | MATH |
[
{
"content": "Find the value at position (1, 9) of the inverse of matrix 1/600 * A where A =\n[[6, -11, 8, -7, 17, -11, -30, -30, -14, 28],\n [0, 22, 21, 14, -1, 10, 16, -28, 15, 24],\n [0, 0, -9, 13, 14, -5, -18, -30, -7, -21],\n [0, 0, 0, 5, -15, 9, -15, 28, -14, 20],\n [0, 0, 0, 0, 26, 3, -20, -30, -16, -5],... | 2051 | 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, 27, -12, -30, -26, 20, -9, -7, 12, 14],\n [0, 6, 22, 5, 5, -27, 5, 21, 22, -13],\n [0, 0, 10, -13, -9, -29, -10, 5, ... | -557 | MATH |
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