messages listlengths 1 1 | ground_truth stringlengths 1 6 | dataset stringclasses 1 value |
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[
{
"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[8, 21, -2, -16, 12, -23, 30, -10, 8, 27, -12, -8],\n [-20, -20, -7, 22, 5, 9, -7, -28, -9, 22, -29, -7],\n [13, -1, 7, -29, 29, -10, 2, -19, 27, -9, 30, 13],\n [-6, 18, -4, 28, 11, -3, 29, -15, -16, 16, 20, 13],\n ... | 930 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, 29, 28, 5, -12, -5, -28, -12, -11, 1, -24, 21],\n [10, 2, 9, 8, -13, 9, -30, -20, -3, 26, -6, 19],\n [-8, 0, -1, 11, 4, -24, 29, -15, -5, 17, 26, 21],\n [29, 18, -29, -30, 17, -19, -26, 6, 1, 28, 24, -22],\n [10, 4, -12, 1... | -2475 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -30, 25, -26, 14, -27, -15, -7, -15, 24, -29, 18],\n [-3, 1, -4, -11, -7, -19, 19, 4, 29, 2, 2, 30],\n [20, 12, 6, -19, -28, -30, 2, 9, -21, 12, 13, -2],\n [-18, -19, 0, 15, -29, 30, 20, 19, 4, -8, -14, ... | -3714 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-22, 2, 22, -11, -18, -3, 17, -2, -18, 15, 4, 30, -25, -13],\n [20, -26, 16, -6, -29, -21, 25, -1, 19, 28, 14, -26, 24, 25],\n [2, 23, -30, -13, 1, 16, 18, -20, -10, -5, -6, -9, 28, -4],\n [18, -18, 2, 3, 10, 4, -30, -10, 17, 2... | 26290 | MATH |
[
{
"content": "Find the value at position (1, 13) of the product of the following matrices:\nA =\n[[-11, 2, -11, 18, -19, 16, -30, -5, -17, 7, 6, -20, 5],\n [-18, 12, -28, 2, -25, 19, 25, -21, -26, -8, -21, 13, -29],\n [-18, 9, -29, -11, -30, 6, -22, -14, -22, -20, -16, -7, 7],\n [24, 4, -1, 0, 18, -26, 29, 13, ... | -1228 | MATH |
[
{
"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-21, -12, 15, 3, 29, 2, -8, 24, -3, 1, 19, -24, -2],\n [-23, -30, 26, 24, -28, -7, -8, 28, 30, -23, 23, 26, 16],\n [6, -28, 20, 2, -3, 16, -23, 3, 4, 1, -7, -17, 1],\n [25, 15, 12, -15, -27, 21, 6, 23, -10, -17, ... | -468 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 4, 28, 8, 15, 21, -2, 18, -2, 22, 13],\n [26, -15, 25, 13, 16, 26, -21, -1, -6, 8, -11, -26],\n [-30, -1, 18, -28, 14, -17, 25, -1, 19, -27, -13, 6],\n [-6, 17, -30, 22, 15, -16, -22, -16, 18, 26, -7, -27],\n [-1... | 13729 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -27, -14, 4, -18, 10, 8, -16, 24, -2, -2, -20, 21, 1],\n [-29, 16, -17, -11, -9, -20, -4, -28, -14, 13, 25, -3, -2, -10],\n [16, -15, 6, 28, -11, -25, -12, 26, -26, -28, 28, -30, 27, 29],\n [7, -16, 3, 30, 4, 18, -6, -7, -1... | -5137 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[26, 23, -11, -3, 26, 12, 6, 16, 6, -19, 6, 18],\n [18, 25, 13, 25, -3, 16, -16, -25, 13, 28, 30, -11],\n [19, -17, -29, -22, 6, -11, -5, -2, -30, 24, 4, -25],\n [6, 22, 28, -26, 2, 18, 20, -17, -19, 11, -11, 22],\n [19... | 6389 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -13, -12, 5, -21, 2, 24, 19, -26, 16, 18, 4, 13, 3],\n [2, 24, -10, -14, -9, 17, 6, -16, 4, -3, -24, 1, -20, -21],\n [-22, -17, -18, 30, 26, -6, -29, 4, -24, -10, -13, -28, 11, 23],\n [30, 8, 10, 18, -20, 8,... | -10156 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[21, 17, 29, -13, 9, 4, 10, -2, 21, -2, 7, 11, -10, 11],\n [-18, 18, 10, -14, 25, -22, 10, -30, -29, 29, 17, -2, 2, -21],\n [19, 27, 29, 9, -10, -3, -20, 24, 3, -23, 28, -9, -23, 18],\n [-16, -14, 29, -8, -... | -415 | MATH |
[
{
"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[14, -19, -1, 27, 7, 22, 0, 5, -12, 17, 14, 5, -1],\n [24, 18, 24, 2, -13, 21, 18, 28, -3, 28, 16, -20, 26],\n [29, 23, 14, 2, -14, -25, -27, -11, 17, 16, -4, -16, -25],\n [16, -17, 29, -20, 8, -22, -5, -15, -26, ... | 1338 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 1, -22, -19, -20, 15, 24, -15, -30, 14, 24, 22, -10, -1],\n [-18, 3, -27, -3, 7, 27, 0, 28, 24, -4, -26, -6, -28, 2],\n [-27, -6, -11, 3, -5, -26, 4, 30, -3, -2, -22, 21, 7, 19],\n [-25, -12, 29, 13, 26, -20, -29, 1... | -13625 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -22, -7, 6, 18, 10, -14, -7, -10, 20, 28, 8, 24, 10],\n [8, -18, -20, 15, -12, -20, -18, 15, 14, -30, 9, 13, -12, -19],\n [-23, -23, 30, 22, 14, -19, 30, 17, 2, 14, -5, 8, -3, 27],\n [-26, -23, -6, -4, 15, -8, -1, 14, 16, -... | 5605 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, -14, 20, 22, -17, -4, -13, -3, 20, 16, 16, -27, -24],\n [14, 4, 17, -22, -23, 21, 14, -14, -14, 18, 2, 1, -23],\n [-12, 7, -28, 28, -26, -18, 16, 15, 30, 0, 24, -15, 19],\n [1, -9, -2, -9, 12, -28, 23, -21, 11, -10... | 12985 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[22, 13, 16, 22, -21, 15, -18, 6, 7, -7, -29, -9],\n [-14, 5, -17, -21, 4, -6, -28, 16, 7, -14, -19, 23],\n [21, -7, -2, 12, -6, 5, 27, 29, -5, 7, -30, -11],\n [24, -3, -15, 16, -14, 9, -3, 27, -19, -4, 23,... | -1387 | MATH |
[
{
"content": "Compute the value at position (4, 11) of the product matrix AB given:\nA =\n[[-4, -9, 6, -4, 26, -2, -28, 13, -18, 14, -21, 5, -22, 23],\n [25, 24, -4, 3, 20, -30, 1, -6, -2, -24, 18, -28, -11, -11],\n [22, -1, 4, 4, 18, 8, -4, -5, -17, -14, -13, 14, 21, -2],\n [-11, 22, -4, -13, -27, -30, 19, -30... | 454 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[25, 28, 2, 19, 17, 10, -12, -9, -26, 28, -29, -1, 16, 8],\n [-27, 2, -18, -11, 23, -24, -16, -8, -17, -8, -12, 23, -2, 25],\n [-11, -2, -7, -13, -21, 10, 26, -23, -5, -2, -21, -14, -29, -25],\n [27, -26, ... | 3627 | MATH |
[
{
"content": "Compute the value at position (12, 10) of the product matrix AB given:\nA =\n[[26, -9, -22, -2, 16, 6, -8, -18, 1, 15, 21, 16],\n [17, -8, 14, -14, 24, 9, -10, -29, 6, -25, 13, -13],\n [-1, -9, 23, 2, -1, -14, 12, 1, 11, 20, -17, 27],\n [-21, 16, 29, 20, 5, 3, -22, 11, -3, -20, -17, 8],\n [24, 16,... | -175 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-27, 1, -8, 24, -25, -7, -11, 27, 6, -11, -19, 2, -3],\n [-23, -30, 6, -9, -25, 30, -10, 1, 4, -16, -26, 29, 25],\n [15, 19, 17, -25, -6, 25, 15, 28, 25, 9, -2, -24, 9],\n [-18, 7, -13, -29, -23, -20, 2, 23, 30, 7, 17, -... | -19545 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 22, 25, 3, -22, -9, -18, -6, 17, -13, 20, -19, 9],\n [-14, -16, 11, -16, -16, 24, 8, -18, -14, 1, -22, 9, -11],\n [-5, -4, -10, -13, -18, -15, -22, -19, 13, 7, -12, 29, -24],\n [26, 4, 17, -13, -15, 24, 8, -... | -107 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[27, -4, -15, 18, -16, 4, -19, 10, 22, 13, -5, 16, 3, -8],\n [0, 19, -11, -19, -8, -27, -8, 17, 24, 17, -30, 23, -6, -29],\n [-1, -28, 27, -10, -6, -11, 18, 21, -9, -10, 30, 2, 21, 7],\n [30, -... | 149588 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 25, -25, 4, -9, -30, -11, -9, 17, 24, -20, -18, 28],\n [11, -28, -22, 29, -19, -8, -17, 2, -13, 18, 28, 10, -22],\n [-8, -21, -12, 30, 16, -26, 16, 21, -8, -1, -6, -3, 3],\n [14, 25, 17, 16, -6, ... | 165241 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-30, 20, 29, 5, -7, 23, -4, -29, 0, 26, -17, -29],\n [-2, -16, -19, 6, -3, -11, 30, 8, -7, -10, -21, 15],\n [-17, 6, -13, -7, -17, 3, 27, -19, -9, 25, -25, 5],\n [14, 5, -9, -17, -15, 30, 5, 25, -6, 1, 2, 14],\n [5, -1... | -18379 | MATH |
[
{
"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[26, -24, 17, 30, 19, 7, -4, 21, 2, -30, 13, 22, 29],\n [3, -27, -14, -27, 12, 23, -5, -27, -30, -24, -1, 19, -22],\n [30, 4, -23, 30, -7, -12, 5, 19, 21, 28, 12, -4, 1],\n [-17, 26, -13, -3, 29, -2, -15, 4, 16, 28, 28, 0,... | -367 | MATH |
[
{
"content": "Find the value at position (9, 13) of the product of the following matrices:\nA =\n[[25, 23, -12, -13, -19, 24, -3, -3, 29, 28, 2, -12, -3, 28],\n [21, 30, 18, 6, -5, 4, 3, 4, 9, -15, 7, -18, -8, 29],\n [23, -9, -15, -3, 17, 4, 29, 14, 15, -23, 13, 24, 24, -9],\n [-10, -5, 9, -10, -6, 10, -30, -25... | -407 | MATH |
[
{
"content": "Find the value at position (14, 11) of the product of the following matrices:\nA =\n[[-1, 28, -23, 20, -11, 17, 1, -9, 28, -24, -22, 14],\n [-30, -2, -23, 25, 23, -27, 4, 28, -28, 23, 14, 9],\n [-24, -4, -30, -4, -15, 7, -24, 13, -8, 10, 28, -20],\n [11, 22, 2, 19, 5, 6, 10, 28, -14, 4, 17, -26],\... | 1130 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -14, 26, 28, -8, -24, 13, 22, -24, 13, -16, 3, 15],\n [14, -27, -17, -17, -15, -24, 1, -12, -29, -21, 19, 30, -14],\n [6, -19, -25, -9, 1, 10, -11, -30, 23, 16, 22, 27, -25],\n [-12, -13, -25, 14, 2, -8, -8, -5, -1... | -4840 | MATH |
[
{
"content": "Find the value at position (13, 5) of the product of the following matrices:\nA =\n[[-29, 11, -22, -8, -16, -18, -8, -14, 17, 29, -29, -11],\n [-11, 28, 15, -28, 24, -19, 9, -29, 5, -17, -15, -12],\n [3, 13, 30, 15, -25, -18, 5, -9, -13, -19, 21, 28],\n [23, -1, 22, 20, 9, -24, 1, 17, -12, -25, -1... | 1064 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -9, -19, -29, 6, -24, -5, -5, -7, -19, -15, -8],\n [9, 29, -22, 1, -16, 6, -18, -26, -20, -21, 21, -18],\n [10, 22, 15, 19, -16, 11, 25, -24, 9, -3, 1, 4],\n [-16, 17, 5, -10, -25, -30, -27, -20, 13, -5, 30, ... | 1260 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 19, 2, -18, -17, 25, 2, -2, 12, 18, 5, 27, 13],\n [-21, 0, -25, 26, -30, -24, 27, -4, -10, -3, -15, 25, 15],\n [-8, 21, -11, 7, 23, -6, -3, -26, 25, -10, -13, 16, -25],\n [26, -2, -12, 2, -30, 14, -28, 11, -10, 4, 10,... | 9094 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[21, -3, 12, 28, -5, -9, 16, 12, 24, -28, 4, 29, 27],\n [-19, -7, -26, -11, 8, 8, -18, 10, 26, 22, 14, -19, -18],\n [25, -21, 2, 26, 9, 23, -15, 14, 4, -28, 25, -26, -5],\n [-20, -24, 22, 25, -21, 11, 21, ... | -2646 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-19, -9, 6, -11, 8, -7, 17, -11, -30, -30, -14, 28, -30, 22],\n [21, 14, -1, 10, 16, -28, 15, 24, -20, -7, -9, 13, 14, -5],\n [-18, -30, -7, -21, 4, -7, -3, 5, -15, 9, -15, 28, -14, 20],\n [23, -16, -15, -16, 26, 3, -20,... | 6771 | MATH |
[
{
"content": "Compute the value at position (8, 9) of the product matrix AB given:\nA =\n[[16, -15, -8, -24, -5, 1, -19, -23, -26, 11, -3, 22, -26],\n [18, -5, -26, -9, -16, -18, -3, 2, 12, -8, 2, 12, -13],\n [19, 22, -1, -5, -15, -18, 8, 2, -5, 17, -30, 18, 7],\n [-29, 18, -25, 15, 19, 7, 11, -7, -13, -4, 10, ... | 35 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[26, 12, -14, 27, -17, -2, -11, -1, -12, 22, 8, 25],\n [-18, -13, -8, 15, 2, 8, 9, -13, -22, 2, 1, 30],\n [23, -14, -12, -4, -25, 4, 25, 6, 3, -11, -6, -27],\n [-21, -21, -7, -10, -20, -4, -15, -5, 30, 30, -1, 18],\n [-... | -9182 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 29, -24, -8, -10, 3, -20, -9, 11, 4, 21, -2, 11, -3],\n [28, -13, -17, -13, -3, -7, -23, 11, 23, 14, 22, -23, -27, -4],\n [5, -26, 2, 18, 3, -1, -23, 8, 16, -5, 26, 6, 3, -24],\n [9, -3, 8, 8, -3, -17, 22, 19, 7, -27,... | 13295 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -23, -14, 21, -4, 2, 15, -14, 11, -19, 17, 15],\n [-4, 17, -23, -8, 29, 11, 30, 18, 28, -2, 19, -11],\n [-15, -14, -15, -12, 25, 25, -23, 7, 7, 22, -2, 10],\n [5, -5, 0, 13, 29, -19, 24, -14, -16, -22, 8, 11],\n [17,... | -50645 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -14, 24, 15, -2, 5, 6, -5, 22, -14, -9, 30],\n [-6, -29, 24, -9, -26, -27, 5, -25, 21, -10, -18, 23],\n [6, 24, -6, -5, 24, 8, -11, 2, -17, 25, 5, -14],\n [-10, 15, -15, 15, -15, 25, -11, -2, -3, -23, -7, -28],\n [-6... | 16084 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-27, -22, 10, -9, -13, -19, 11, 12, 8, -22, -25, -12, 17, 16],\n [-24, -15, -26, -15, -30, 20, 6, 8, -12, 23, 6, 30, -14, -5],\n [-9, -23, 30, 30, 2, -29, -1, 16, -11, 29, -13, 12, 26, -21],\n [-7, 25, -27,... | -6261 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -6, 30, -12, -23, -3, -23, 0, -28, -28, 13, -9, -14, 5],\n [-14, -17, 20, -22, -1, -10, -19, 6, 1, -20, -11, 4, 22, 16],\n [15, -20, 21, -23, -27, -4, 13, 9, 7, 16, -1, 13, 17, 17],\n [-4, -10, 21,... | 185667 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 24, -28, 19, 12, -16, -10, 21, 6, 25, -19, -27, 16],\n [-22, 8, 11, 30, -3, -8, 14, 30, 9, 13, -9, -7, 20],\n [27, -5, -1, 2, -15, -9, 18, 26, 19, 12, -13, -24, 19],\n [-5, -23, -25, -1, 8, -8, 1, -9, 11, 12,... | -18702 | MATH |
[
{
"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-30, 16, 2, 7, -6, -5, -18, 28, -3, 2, 6, 10, -1],\n [26, 18, 17, -23, 18, 16, 25, -30, -19, -26, -7, -25, -6],\n [-30, -6, -30, 1, 11, 11, -28, 18, -12, 29, 12, -2, 19],\n [-29, -22, 25, -14, 29, 15, 5, 30, ... | 163224 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-17, 18, 26, 28, -17, 13, -15, 2, -18, 7, 18, -19, 24, 20],\n [7, 8, 2, 2, -2, -26, -25, 0, -15, 0, -6, 17, 15, 2],\n [-18, 21, -21, -7, -21, 10, 0, -18, -28, 28, 19, 21, 3, 18],\n [-3, -12, -8, 14, 1, -18, 2, 3... | -3951 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -14, -8, 23, 5, 18, -22, 21, -29, 1, 25, 19, 22, 28],\n [-9, 12, -18, -23, 28, -30, -14, -19, -27, 22, -18, 0, 30, 10],\n [28, -24, -8, -7, -26, -26, -14, -1, -22, -25, -6, -12, -15, -10],\n [-29, -21, -15, 6, -16, -... | -12927 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 19, 0, -27, 23, 7, 22, 16, -30, -28, 6, -9],\n [-14, -17, 10, 4, 27, -18, 4, 12, -29, 25, 16, -18],\n [20, 23, -15, -13, -24, 14, 5, 10, -1, 11, 10, -24],\n [-16, 29, 9, -12, 12, 6, -29, 11, 17, 2... | 134123 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-15, 20, -27, -8, 26, 19, -11, -6, -1, -13, 11, -20],\n [-2, -14, -5, 25, 26, -8, 25, 21, 17, -11, 14, -29],\n [-7, 0, -4, -29, 26, -17, -27, 18, -18, 5, 4, 13],\n [23, 24, -23, -29, -25, 0, 23, -21, 1... | 176281 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -6, 0, 18, 10, -14, 16, -1, 8, 23, 24, 0, -12],\n [4, -2, 28, -30, -27, -3, -13, -5, 9, -12, 24, 24, 29],\n [26, -25, -30, -23, 2, 20, 12, -10, -7, -6, 16, 24, 26],\n [12, -12, -2, 22, -21, 25, -19, 2, 25, -2... | 7823 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -15, 24, -5, 22, 2, 0, 17, 16, -25, 13, -23, -24, 3],\n [13, 22, -17, -15, 12, 21, -22, -21, -14, -19, -25, -12, 12, 10],\n [22, -2, -25, 28, -6, 26, -7, -6, -15, 21, -15, -25, 6, -10],\n [-27, 3, -3, 7, 10, -3, -14,... | 8543 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[18, 12, 10, 6, 26, 11, 16, -3, 30, -17, -27, 22, -11],\n [3, -19, 2, -7, -11, -26, 7, -1, -7, 12, 9, -24, 5],\n [7, -15, 21, -16, 15, -8, -19, -2, 13, 17, -16, -2, 14],\n [12, 18, -10, -16, -17, 11, 13... | 125047 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -21, -9, 7, 26, 2, -9, 13, 6, -18, -4, -16],\n [-9, -1, 12, 9, 6, 3, 13, 29, 3, 27, 17, 22],\n [4, 11, -12, -23, 8, 2, 13, 30, -3, 6, 17, -6],\n [5, -14, -7, -10, -29, 0, 13, 2, -1, -19, 1... | 115395 | MATH |
[
{
"content": "Compute the value at position (7, 12) of the product matrix AB given:\nA =\n[[-1, -24, 28, 27, -5, 9, 15, 23, 29, 15, -20, -17, -10],\n [-23, -28, -3, 30, -2, -8, -13, 4, -18, -19, 16, 19, -26],\n [8, -20, 27, 28, -20, 28, 16, 11, 16, 0, 0, -18, -17],\n [18, 14, 11, -6, 2, 2, -16, -15, 13, 27, 25,... | -1232 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -18, -19, -21, -30, 1, -1, -23, -10, -9, -13, -29],\n [17, 13, -22, -28, 23, -5, -10, -1, -3, 5, -5, 3],\n [-23, -21, 17, 24, 12, 19, 23, -17, 9, 24, -16, -14],\n [22, -13, 1, 7, -8, 15, -8, 4, 8, -16, 22, -... | 18159 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 25, -19, 21, 17, -28, 15, 2, -21, 0, -16, -24, 5, -17],\n [25, 17, -17, -28, 18, 22, 15, 19, -28, -9, -12, 4, -19, 23],\n [-26, -21, 10, 2, -18, 4, 20, 1, -20, 17, 7, -7, 4, -12],\n [-25, 9, 23, 14, 13, 11, 4, -27,... | -1198 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -28, -3, -14, 0, -21, 18, -9, -1, 18, -10, 5],\n [22, -8, 7, -19, -6, 23, 26, -11, 18, 18, 11, -24],\n [-2, 17, -2, -18, -28, -29, -15, -1, 7, -25, 14, -24],\n [-26, 25, -24, 3, 1, 18, -18, -1, -6,... | 137328 | MATH |
[
{
"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, -5, -5, 5, 9, -30, 28, -16, 19, -30, -20, 24, -29, -30],\n [0, 13, -15, 23, -9, 11, -13, 16, -14, -1, -21, 4, 27, -10],\n [-15, -25, -28, 10, 12, -10, -18, -13, 27, 23, 29, -7, -4, 23],\n [-27, ... | -1495 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-23, 7, -27, -19, 13, 0, -6, 22, -15, 11, 23, -17],\n [-18, 10, -24, -19, 6, 19, -27, -29, 4, 27, 13, -28],\n [-27, 7, -19, -12, -21, -30, -14, -15, -22, 26, 22, -22],\n [28, 24, -22, -19, 24, 10, -16, -29, -20, -... | -2875 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, -14, 29, 28, -16, 19, 17, 1, -18, -10, 18, 9, 2, 30],\n [26, 27, -4, 4, -15, -3, 3, 16, -30, 10, 17, 0, 5, 13],\n [2, 2, 8, -13, -8, 29, -8, -16, -5, -1, -6, 14, -15, 8],\n [17, 14, -17, -14, -19, -2, 1, 25,... | -22804 | MATH |
[
{
"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, 8, 21, 1, 29, 13, -22, -4, 15, 21, 2, -21, -14, 18],\n [18, 5, -14, -13, 21, -8, 3, -23, -18, -8, 26, 23, -11, -9],\n [16, 21, -8, 10, 4, -28, 3, 2, 15, -14, 14, -12, -1, -8],\n [-16, 28, 26, -17, -29, 8, 18, ... | -1164 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 21, -1, -17, 23, -8, -20, 0, -25, -20, -18, -19, 23],\n [-29, 22, 4, 24, 5, -14, -3, -3, -9, 7, -24, -16, 1],\n [-20, -7, -28, -1, -25, 27, -29, 30, -17, 10, -13, 20, 13],\n [0, -18, -5, 13, -19, -13, -22, 18, -10,... | -23517 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-21, 3, 15, -18, 23, -2, 7, 10, 14, -22, -18, 6, -17],\n [6, -22, -23, 8, 9, 23, -28, 24, 25, 16, 9, 2, 1],\n [-24, -12, 3, -17, 19, 16, 15, 25, 26, -12, 20, 23, 28],\n [-5, -14, 23, -3, -12, -4, 17, 21, 26, -12, 2, 20, -24],\n... | 20949 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[23, -19, -13, 25, 15, 16, -16, 6, -15, -26, -29, 21, -3, 26],\n [10, 23, -4, 0, 10, 5, 16, 12, -30, 19, -2, -30, -23, 26],\n [-15, 27, -3, -9, -13, -9, 10, -19, -12, -6, 19, 28, -26, 28],\n [3, 8, 28, -21, 16, 26, -24, 2... | 6458 | MATH |
[
{
"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-11, 11, 3, -27, -13, 20, -27, -11, 27, -22, -15, -5, 7],\n [-6, -27, 10, 28, 14, 10, 7, 22, -12, -17, -10, -16, -28],\n [6, 22, 19, 15, -15, -17, -22, 16, -24, -17, -25, -10, -16],\n [21, -23, 3, 9, -30, 1, 27, ... | 1448 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (10, 13) of the result:\nA =\n[[16, 20, -16, 6, -12, 8, -25, 28, -12, 26, -3, -14],\n [11, -12, 0, -20, -16, -21, 12, -8, -28, -28, -13, -6],\n [12, -11, 27, -2, -9, 19, 26, -16, 8, -21, -10, 24],\n [21, -2, 1, -21, -18, 16, -8, 19, -8... | -869 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-16, 15, 13, -28, 1, -21, 9, 7, -9, -17, -14, -10, 20, 17],\n [-16, 27, -16, -30, -7, 24, 24, -19, -21, 15, 11, 11, 21, 30],\n [0, -20, 23, -15, 30, -22, 16, -17, -12, 0, -22, 5, 22, 8],\n [23, -5, -23, -7, -23, -12, 16,... | 869 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-27, 16, 12, -9, -28, -16, 4, 16, 7, 2, -17, 17],\n [-30, 22, 18, -5, -23, 19, -15, 7, -21, 11, 6, -5],\n [-3, -19, -11, 18, -17, 15, 4, -2, -19, 21, -13, 13],\n [-29, -29, 28, -14, -21, -13, -9, -12, 27, 22, -30, -7],... | -7601 | MATH |
[
{
"content": "What is the value at position (4, 11) when matrix A is multiplied by matrix B?\nA =\n[[24, 6, 18, 27, 5, -8, 14, -15, 17, 0, 3, 19, -30, -13],\n [27, 9, 12, 25, 25, -16, 17, 18, -14, 13, -21, -11, -25, -23],\n [14, 3, 30, 1, 20, 23, 11, -27, 13, 19, 8, -11, -7, -7],\n [24, -5, -6, 5, -24, -21, 27,... | 146 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 13, 4, 18, -24, -9, -21, -8, -16, -1, 3, -18, 29],\n [-27, -13, 25, -8, 2, 3, 3, 5, 4, -14, -3, -17, 3],\n [17, -20, 26, -18, 2, 26, 24, -29, 3, 22, -2, 6, -27],\n [-19, -5, 27, 30, -3, -28, -11, -21, 21, -... | 5141 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-22, -8, 2, 2, -11, -27, -30, 23, 11, 3, -4, -10, -7],\n [-16, 4, -6, 24, -22, -14, -10, 29, -18, -28, -27, -27, 12],\n [-3, -24, -5, -20, -7, 12, -21, 6, -18, 30, 13, 11, 8],\n [-12, 20, -12, -19, 21, -9, 16, 6... | 26586 | MATH |
[
{
"content": "Compute the value at position (3, 12) of the product matrix AB given:\nA =\n[[-25, -13, 14, -9, 20, 8, 20, -22, 4, -8, -19, 21],\n [-7, 19, 9, -22, -18, 9, 23, 11, -14, -24, -14, 24],\n [19, -7, -29, 4, 30, -3, -12, 2, -10, 22, -21, 22],\n [15, 14, -22, 7, -25, 20, 22, 11, 24, 4, -13, 22],\n [-12,... | 1027 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, -6, 10, -27, -2, 25, -25, -30, 8, -30, 20, 9, 26, -28],\n [-30, -30, 8, -10, 14, -1, 1, 2, 17, -9, -1, 23, 15, -27],\n [-8, 24, 13, -6, -19, -14, 22, -16, -21, 4, 24, 21, 21, -2],\n [-19, -30, -30, -21, -13... | 771 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -15, 10, -5, -3, -30, 16, -19, 6, 24, 25, 19, -11, -29],\n [5, -16, 7, -9, 13, 30, 19, 1, 28, -11, 5, 2, -16, 19],\n [15, -28, -2, 16, -4, -26, 28, 25, 0, -9, 4, 23, -24, -25],\n [-5, 23, -30, -12, -24, 5, -19, -11,... | 16490 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -22, 29, 13, 23, -5, -22, -11, 25, 4, 5, 11, 5, 23],\n [-22, -9, -30, -26, -22, 6, 7, -12, -23, 11, 12, 1, -18, -11],\n [5, 12, 13, 6, -1, -21, 0, -6, -2, -7, 8, -10, 10, -22],\n [11, 11, -29, -27,... | 146903 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[28, 23, -4, 7, 22, 9, 14, 19, -8, 0, 5, -14, 30],\n [6, -28, 5, 24, -26, 15, -16, 21, 18, -25, 28, -21, 23],\n [1, -8, 17, -14, 15, -11, 13, 10, -16, 13, 15, 27, -9],\n [19, 21, -25, -27, 27, -8, 13, 14, -12, 23, 14, 0... | 16478 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-30, -10, 26, -27, -28, 18, -1, 0, 3, -12, -11, -8, 23, 28],\n [9, -6, -16, 7, -8, 21, -29, 26, 26, -16, 21, 13, 4, -21],\n [-17, -4, 23, -17, 4, 2, 21, -30, 3, -12, -7, 11, -27, 5],\n [-18, 27, 1, -22, 8, -15, 19, -28... | 5907 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-25, 21, -16, -27, 26, 17, 23, 25, 9, -24, 20, 27, 18],\n [22, 14, 16, -5, 27, 0, -29, -3, 11, -18, -13, -1, 24],\n [-20, -18, 20, 30, -7, 26, -2, 25, 23, -26, 4, -12, 24],\n [-18, -26, 13, -17, 7, -9, -22,... | -220 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-18, -12, 3, 1, 18, -15, 5, -13, -17, -1, -29, -18],\n [-4, 28, 22, 21, -14, 0, -16, 26, -11, -26, -24, -13],\n [25, -20, 1, 19, -4, -5, 6, 14, -3, 19, -29, -11],\n [-27, -18, -7, 30, 17, 7, 27, 9, 17, 14, 24, -2],\n [27... | 6983 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -29, 15, -2, -29, 3, -4, 29, 23, 8, 13, 7, -13],\n [5, -12, -4, 14, -11, -10, -8, -1, -6, 0, -4, 3, -23],\n [-12, 10, -5, -3, -27, 0, -15, 20, -21, 7, 17, -21, 14],\n [-22, 8, 5, 20, 27, 5, -12, 29, -12, -19, -18, -... | -6576 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[25, -7, -2, 17, 16, -23, -5, -16, 26, -30, -3, 18, 16, 15],\n [-17, 11, 3, 28, 0, -25, 18, -26, 0, 6, -16, -16, 21, 12],\n [-26, -3, 2, -20, 12, -25, -8, 9, -29, -16, -8, -9, -22, 16],\n [9, -... | 137522 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, -21, 25, 28, 24, 9, -18, -2, -26, 27, 27, 28],\n [-19, 28, -18, -9, 9, -16, -18, -30, 23, 7, 12, 14],\n [22, 21, -30, -20, 27, 12, 9, -9, 4, 29, 20, 13],\n [-25, -3, 0, 24, -23, -26, 11, 23, 17, ... | 136496 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-26, -26, 30, -12, 20, 7, -3, -5, 30, 11, -8, 15],\n [18, -1, -28, -3, 2, 11, -28, -26, 26, -12, 11, 27],\n [26, 17, -30, 7, -22, 29, -26, 28, 15, 11, 3, 6],\n [2, -6, 11, -2, 27, -6, 23, 28, -22, -28, -16, -27],\n [14, ... | 10643 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[25, -24, 26, 24, 21, -27, 12, 9, 7, 26, -1, -21, -1],\n [8, -24, 5, 4, -7, 8, 5, 14, -11, 18, 1, 28, 8],\n [18, -5, -5, 5, 12, 4, 12, 4, -19, 2, 5, -17, 2],\n [15, 14, 14, -7, -16, 0, -14, -19, -9, -8, -5, -17, -19],\n... | -21325 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 9, 25, -30, 4, -26, 19, -19, -19, -10, 28, 27, -12, -22],\n [12, 18, 17, 5, 11, 23, 16, 26, 20, 1, 4, 0, 29, 22],\n [24, 1, 6, 1, 12, 25, 6, 8, 7, -1, 27, 1, 14, -29],\n [20, -20, 28, -11, 6, -2... | 167782 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[19, 13, 23, 17, -8, -25, -7, 26, -7, -10, 25, 11],\n [0, 16, 27, 10, -1, 25, 3, -13, -19, 4, -24, 10],\n [9, -6, -25, -30, 15, -15, 29, 17, -27, -2, 7, 16],\n [-3, -9, -23, 1, 2, -18, -4, -13, -13, -18, -9, -17],\n [-2... | 206 | MATH |
[
{
"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 15, 30, 17, -14, 1, -20, 3, -7, 24, -26, -2],\n [17, 17, 27, 3, -15, -6, 6, -23, -2, 21, 15, -6],\n [11, -8, 3, -28, -1, 19, 22, 3, 1, 22, -2, -22],\n [-29, 26, 8, -24, 15, -26, -23, 1, 24, 23, -... | 147532 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-19, 25, 2, 25, -6, -6, 22, -27, -27, -22, -16, 25, -5],\n [-16, -5, -3, -24, 1, -19, 4, 21, 1, -22, -17, -18, 25],\n [29, 13, 2, 1, -12, -1, -15, -19, -21, -29, -13, -18, -2],\n [-7, 7, -19, 29, 29, -2, -9, 5, -30, 12, 24, 9, ... | -4703 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -26, -10, -3, -13, -7, 27, 1, 14, 2, -21, -22],\n [18, 2, 2, -24, -27, -3, -8, 22, 1, 13, -15, 15],\n [24, -21, -17, 8, 5, 3, -7, -13, -15, 10, 6, 10],\n [-6, -23, -7, -11, 17, -1, -11, -13, -27, 17, 5, -25],\n [-28, -13, 1... | -11226 | MATH |
[
{
"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -18, 10, -25, 16, -15, -26, 22, 14, 20, 3, -25, 28, 2],\n [-16, -16, -17, 8, -26, 21, 26, -5, 17, -14, 12, 16, 21, -15],\n [4, 7, 22, -8, -18, 2, -2, 22, 15, 3, 3, -4, -16, 28],\n [19, -22, -5, -28, 5, 16, -26, -11... | -10252 | MATH |
[
{
"content": "Calculate the matrix product AB and find the value at position (10, 6) of the result:\nA =\n[[-19, 13, -7, -27, 5, 19, 17, -17, -14, 18, -28, 7],\n [-8, -18, -22, -10, 10, -23, -14, -15, -15, 28, -3, 20],\n [25, -15, 26, 15, 21, 15, -17, 15, 13, 7, -11, 14],\n [17, 10, 3, 23, 28, -2, -28, -21, -11... | 746 | MATH |
[
{
"content": "What is the value at position (11, 7) when matrix A is multiplied by matrix B?\nA =\n[[-29, -12, -15, 12, 13, -6, -30, -29, 17, -4, -29, 27, -1],\n [20, -21, -12, 11, -15, -18, 17, 19, 25, -23, 25, 19, 0],\n [14, -6, 28, 8, 29, -10, 24, 25, 26, 19, 7, 10, -2],\n [-25, -13, 18, 13, 4, -4, -26, -24,... | -1312 | MATH |
[
{
"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-24, -6, -4, -16, 1, -3, -22, -24, 28, 25, -15, -5, 4, -14],\n [-8, -23, -29, 0, 26, 21, 27, 28, 26, 1, -2, -28, -23, 28],\n [-29, 0, 20, 18, 6, -11, -2, -14, -21, 10, -9, -25, 12, 3],\n [0, 24, -19, -19, -... | -3029 | MATH |
[
{
"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-15, -11, -5, -15, -25, 14, 13, -8, 11, 6, -23, -25, 6, 21],\n [-9, -25, 23, 1, -14, 7, -14, 6, -8, 18, 30, 18, 30, -18],\n [1, -9, -24, -9, -10, -25, 30, -17, -15, -28, -22, 16, -10, 19],\n [-1, -1, 29, ... | -1561 | MATH |
[
{
"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-27, 21, 24, 1, 13, -16, -5, 11, -20, -22, -20, -29, 14, -4],\n [23, 27, -5, -23, 30, -10, -10, -23, -30, 7, 27, -18, -22, -3],\n [-25, 16, -8, 17, 5, 29, 27, -14, -22, -19, -9, 20, 21, 27],\n [-19, 23, -25, 13, -22, 21, ... | -2045 | MATH |
[
{
"content": "Compute the value at position (8, 8) of the product matrix AB given:\nA =\n[[-14, -24, 19, 14, 21, 21, 30, -21, -30, -29, 18, -9, 1, -2],\n [4, -14, -19, -7, -1, 13, -1, -11, 11, -24, 11, 19, 23, 7],\n [-24, 29, 18, -1, -19, 18, 0, -13, 15, 12, -29, 22, 2, -20],\n [3, -15, 23, 4, 21, 2, -10, -11, ... | 53 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -1, 17, 8, 26, -4, 26, 11, 6, -24, -26, -16],\n [20, 11, -23, 25, -22, -20, 29, -9, 3, 4, -18, -20],\n [29, 1, 11, 28, -16, 7, -30, 15, 19, -7, 12, 9],\n [-9, -28, -17, -29, 30, 1, 17, 7, 2, 15, 11... | 173189 | MATH |
[
{
"content": "Find the value at position (2, 13) of the product of the following matrices:\nA =\n[[29, 0, -2, -26, 23, 7, -6, 29, 3, -19, -9, -22],\n [29, -11, -2, 13, -2, 14, -4, 23, 24, -14, -26, 21],\n [14, 30, -18, 11, -16, -16, -13, 19, -29, -8, 12, -18],\n [12, -27, 16, 23, 24, -6, -20, 19, 17, 11, -19, -... | 2579 | MATH |
[
{
"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -11, -11, 12, -23, 16, 3, 18, -8, 7, 22, -3, -18],\n [-2, 30, -23, -20, 16, 14, -13, 19, -6, 18, -9, 14, 30],\n [4, -2, -10, 25, -24, 30, -19, 5, -7, 1, -4, 1, 28],\n [1, 1, -5, -20, 15, -13, 8, -26, -15, -20, 23, 4... | 7142 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[23, 21, 14, 3, 28, -11, -24, 2, 26, 4, 30, -2],\n [21, -19, -26, -19, -2, 4, -11, 6, 29, -30, -15, -1],\n [-22, 11, 30, -21, -18, 17, -11, -2, 26, -27, 15, 18],\n [-3, 6, -18, 26, -28, 6, 17, ... | 119549 | MATH |
[
{
"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-14, 7, 16, -1, -29, -23, -17, 6, 4, 11, 8, -20, -16],\n [-29, 6, 12, 1, 9, -18, 12, -14, -16, 2, 20, -15, 20],\n [-18, 24, -9, -8, 5, 12, 19, 19, -21, -14, -1, -18, -1],\n [26, 15, -1, -24, -21, 4, -29, -1, -12, 8, 6, 29, -28]... | 2233 | MATH |
[
{
"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -3, -19, -5, 17, 13, -23, -26, -20, 11, 4, -4, 24],\n [10, 13, 7, -12, 17, 22, 24, 25, 30, 1, 15, -3, 5],\n [-13, -21, 1, -13, -19, 20, -23, 2, 15, 24, 7, -17, -29],\n [-22, 30, 13, -26, 3, -12, -24, 8, 11, ... | 7501 | MATH |
[
{
"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-13, -17, -21, -21, -13, -7, -30, -1, -16, -23, 27, 4, -13],\n [10, -15, -10, -16, -26, 14, 23, 21, -24, 17, -24, -4, -6],\n [-9, 17, -18, -14, 10, 13, -18, -5, -22, -26, 8, 2, -27],\n [-3, -5, -27, -15, 6, -9, 5,... | 748 | MATH |
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