- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 5jm59otx4W3mQRxrGEbx_0, bodu=10, $$(\frac{(5 - 5)^4}{10 \cdot 4})^4=\textcolor{white}{0}$$return {
["body"] = 10,
["id"] = "OFBCLi_0503_1550",
["obtiznost"] = 0.0008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 - 5",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 5)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{(5 - 5)^4}{10 \\cdot 4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(5 - 5)^4}{10 \\cdot 4})^4",
["typ"] = "mocnina" } }
seed: 5jm59otx4W3mQRxrGEbx_0.01, bodu=5, $$6 \cdot 3 \cdot (11 - 4)=\textcolor{white}{126}$$return {
["body"] = 5,
["id"] = "o9jY76_0503_1550",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{1}",
["typ"] = "cislo" },
["tex"] = "126",
["tex_float"] = "126",
["x"] = 126 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 - 4",
["typ"] = "minus" },
["render"] = "(11 - 4)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 3 \\cdot (11 - 4)",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.02, bodu=5, $$10 \cdot 7 - (5 - 3)=\textcolor{white}{68}$$return {
["body"] = 5,
["id"] = "BoLTzK_0503_1550",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 68,
["jmenovatel"] = 1 },
["render"] = "\\frac{68}{1}",
["typ"] = "cislo" },
["tex"] = "68",
["x"] = 68 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 - 3",
["typ"] = "minus" },
["render"] = "(5 - 3)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 7 - (5 - 3)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.03, bodu=10, $$6 \cdot \frac{9}{7}=\textcolor{white}{7\frac{5}{7}}$$return {
["body"] = 10,
["id"] = "XTcYyk_0503_1550",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 7.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 7 },
["render"] = "\\frac{54}{7}",
["typ"] = "cislo" },
["tex"] = "7\\frac{5}{7}",
["x"] = 7,
["y"] = 5,
["z"] = 7 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{9}{7}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.04, bodu=10, $$\frac{\frac{8}{-6}}{5 - 4}=\textcolor{white}{-1\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "3LypZa_0503_1550",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -1.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 3 },
["render"] = "\\frac{-4}{3}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{3}",
["x"] = -1,
["y"] = 1,
["z"] = 3 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{8}{-6}}{5 - 4}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.05, bodu=21, $$6 \cdot (2\frac{2}{5} + \frac{7}{6})=\textcolor{white}{21{,}4}$$return {
["body"] = 21,
["id"] = "z6eWt6_0503_1550",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 21.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 5 },
["render"] = "\\frac{642}{30}",
["typ"] = "cislo" },
["tex"] = "21\\frac{2}{5}",
["tex_float"] = "21{,}4",
["x"] = 21,
["y"] = 2,
["z"] = 5 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{5} + \\frac{7}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{5} + \\frac{7}{6})",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (2\\frac{2}{5} + \\frac{7}{6})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.06, bodu=11, $$\frac{4}{9} + (-8 - 5)=\textcolor{white}{-12\frac{5}{9}}$$return {
["body"] = 11,
["id"] = "JhoIkk_0503_1550",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -12.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -113,
["jmenovatel"] = 9 },
["render"] = "\\frac{-113}{9}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{5}{9}",
["x"] = -12,
["y"] = 5,
["z"] = 9 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 - 5",
["typ"] = "minus" },
["render"] = "\\frac{4}{9} + (-8 - 5)",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.07, bodu=5, $$11 \cdot 8 \cdot -3=\textcolor{white}{-264}$$return {
["body"] = 5,
["id"] = "ahGetS_0503_1550",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -264,
["jmenovatel"] = 1 },
["render"] = "\\frac{-264}{1}",
["typ"] = "cislo" },
["tex"] = "-264",
["tex_float"] = "-264",
["x"] = -264 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 \\cdot -3",
["typ"] = "krat" },
["render"] = "11 \\cdot 8 \\cdot -3",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.08, bodu=12, $$6 \cdot \frac{7}{9}=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "uxbLdM_0503_1550",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{42}{9}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{7}{9}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.09, bodu=36, $$(\frac{\frac{-6}{6} - (-6)}{4})^4=\textcolor{white}{2\frac{113}{256}}$$return {
["body"] = 36,
["id"] = "GzNsgo_0503_1550",
["obtiznost"] = 0.4424,
["reseni"] = {
["float"] = 2.44140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 256 },
["render"] = "\\frac{625}{256}",
["typ"] = "cislo" },
["tex"] = "2\\frac{113}{256}",
["x"] = 2,
["y"] = 113,
["z"] = 256 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.09",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{6} - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{6} - (-6)}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{\\frac{-6}{6} - (-6)}{4})^4",
["typ"] = "mocnina" } }
seed: 5jm59otx4W3mQRxrGEbx_0.1, bodu=16, $$(\frac{10}{9})^2 + 4 + 9=\textcolor{white}{14\frac{19}{81}}$$return {
["body"] = 16,
["id"] = "KyyON4_0503_1550",
["obtiznost"] = 0.1724,
["reseni"] = {
["float"] = 14.234567901235,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1153,
["jmenovatel"] = 81 },
["render"] = "\\frac{1153}{81}",
["typ"] = "cislo" },
["tex"] = "14\\frac{19}{81}",
["x"] = 14,
["y"] = 19,
["z"] = 81 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["render"] = "(\\frac{10}{9})^2 + 4 + 9",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.11, bodu=13, $$\frac{-7}{5 + 8 \cdot 4}=\textcolor{white}{-\frac{7}{37}}$$return {
["body"] = 13,
["id"] = "PxNVW0_0503_1550",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = -0.18918918918919,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 37 },
["render"] = "\\frac{-7}{37}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{37}",
["y"] = -7,
["z"] = 37 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4",
["typ"] = "krat" },
["render"] = "5 + 8 \\cdot 4",
["typ"] = "plus" },
["render"] = "\\frac{-7}{5 + 8 \\cdot 4}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.12, bodu=16, $$\frac{5}{(\frac{8}{7})^2}=\textcolor{white}{3\frac{53}{64}}$$return {
["body"] = 16,
["id"] = "ym5pPu_0503_1550",
["obtiznost"] = 0.1652,
["reseni"] = {
["float"] = 3.828125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245,
["jmenovatel"] = 64 },
["render"] = "\\frac{245}{64}",
["typ"] = "cislo" },
["tex"] = "3\\frac{53}{64}",
["x"] = 3,
["y"] = 53,
["z"] = 64 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{5}{(\\frac{8}{7})^2}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.13, bodu=14, $$\frac{\frac{4}{7}}{5}=\textcolor{white}{\frac{4}{35}}$$return {
["body"] = 14,
["id"] = "yQlU3E_0503_1550",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 0.11428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 35 },
["render"] = "\\frac{4}{35}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{35}",
["y"] = 4,
["z"] = 35 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{7}}{5}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.14, bodu=23, $$(\frac{7}{-9} \cdot (-4 + 7))^3=\textcolor{white}{-12\frac{19}{27}}$$return {
["body"] = 23,
["id"] = "cbAhvk_0503_1550",
["obtiznost"] = 0.288,
["reseni"] = {
["float"] = -12.703703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 27 },
["render"] = "\\frac{-343}{27}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{19}{27}",
["x"] = -12,
["y"] = 19,
["z"] = 27 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 + 7",
["typ"] = "plus" },
["render"] = "(-4 + 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{7}{-9} \\cdot (-4 + 7)",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{-9} \\cdot (-4 + 7))^3",
["typ"] = "mocnina" } }
seed: 5jm59otx4W3mQRxrGEbx_0.15, bodu=7, $$7 - (-6) + (7 - 6)^3=\textcolor{white}{14}$$return {
["body"] = 7,
["id"] = "uVtIDo_0503_1550",
["obtiznost"] = 0.1508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "7 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 6)^3",
["typ"] = "mocnina" },
["render"] = "7 - (-6) + (7 - 6)^3",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.16, bodu=7, $$(6 - 6) \cdot -6 - 8=\textcolor{white}{-8}$$return {
["body"] = 7,
["id"] = "r6ZGLi_0503_1550",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{1}",
["typ"] = "cislo" },
["tex"] = "-8",
["x"] = -8 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["render"] = "(6 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(6 - 6) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 - 6) \\cdot -6 - 8",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.17, bodu=8, $$10 \cdot 8 \cdot (6 - 6)=\textcolor{white}{0}$$return {
["body"] = 8,
["id"] = "EQvjdu_0503_1550",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["render"] = "(6 - 6)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 8 \\cdot (6 - 6)",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.18, bodu=31, $$(8 + (-9) + 2\frac{2}{4}) \cdot -6=\textcolor{white}{-9}$$return {
["body"] = 31,
["id"] = "jsybgf_0503_1550",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "\\frac{-18}{2}",
["typ"] = "cislo" },
["tex"] = "-9",
["x"] = -9 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "8 + (-9) + 2\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(8 + (-9) + 2\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(8 + (-9) + 2\\frac{2}{4}) \\cdot -6",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.19, bodu=8, $$4 \cdot 7 \cdot 4=\textcolor{white}{112}$$return {
["body"] = 8,
["id"] = "z05Ssu_0503_1550",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 112,
["jmenovatel"] = 1 },
["render"] = "\\frac{112}{1}",
["typ"] = "cislo" },
["tex"] = "112",
["x"] = 112 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4",
["typ"] = "krat" },
["render"] = "4 \\cdot 7 \\cdot 4",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.2, bodu=23, $$(\frac{7}{6 \cdot -7})^3 - (-7)=\textcolor{white}{6\frac{215}{216}}$$return {
["body"] = 23,
["id"] = "mWJ3O2_0503_1550",
["obtiznost"] = 0.2868,
["reseni"] = {
["float"] = 6.9953703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1511,
["jmenovatel"] = 216 },
["render"] = "\\frac{1511}{216}",
["typ"] = "cislo" },
["tex"] = "6\\frac{215}{216}",
["x"] = 6,
["y"] = 215,
["z"] = 216 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{7}{6 \\cdot -7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{6 \\cdot -7})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{6 \\cdot -7})^3 - (-7)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.21, bodu=9, $$-9 \cdot 6 - (3 - (-11))=\textcolor{white}{-68}$$return {
["body"] = 9,
["id"] = "QI6FRu_0503_1550",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 1 },
["render"] = "\\frac{-68}{1}",
["typ"] = "cislo" },
["tex"] = "-68",
["x"] = -68 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3 - (-11)",
["typ"] = "minus" },
["render"] = "(3 - (-11))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot 6 - (3 - (-11))",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.22, bodu=34, $$10 - 9 \cdot 4 + 1\frac{3}{5} + 6=\textcolor{white}{-18{,}4}$$return {
["body"] = 34,
["id"] = "NjszNV_0503_1550",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -18.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 5 },
["render"] = "\\frac{-92}{5}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{2}{5}",
["tex_float"] = "-18{,}4",
["x"] = -18,
["y"] = 2,
["z"] = 5 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4",
["typ"] = "krat" },
["render"] = "10 - 9 \\cdot 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "10 - 9 \\cdot 4 + 1\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 9 \\cdot 4 + 1\\frac{3}{5} + 6",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.23, bodu=19, $$8 \cdot -11 \cdot \frac{-6}{2}=\textcolor{white}{264}$$return {
["body"] = 19,
["id"] = "fOO9hR_0503_1550",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 264,
["jmenovatel"] = 1 },
["render"] = "\\frac{264}{1}",
["typ"] = "cislo" },
["tex"] = "264",
["tex_float"] = "264",
["x"] = 264 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{2}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{-6}{2}",
["typ"] = "krat" },
["render"] = "8 \\cdot -11 \\cdot \\frac{-6}{2}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.24, bodu=36, $$\frac{\frac{-5}{2\frac{2}{6}}}{-7} + 6=\textcolor{white}{6\frac{15}{49}}$$return {
["body"] = 36,
["id"] = "8xP1A2_0503_1550",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 6.3061224489796,
["objekt"] = {
["hodnota"] = {
["citatel"] = 309,
["jmenovatel"] = 49 },
["render"] = "\\frac{309}{49}",
["typ"] = "cislo" },
["tex"] = "6\\frac{15}{49}",
["x"] = 6,
["y"] = 15,
["z"] = 49 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{2\\frac{2}{6}}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-5}{2\\frac{2}{6}}}{-7} + 6",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.25, bodu=42, $$\frac{5 + 5}{(\frac{-3 - (-8)}{-8})^3}=\textcolor{white}{-40{,}96}$$return {
["body"] = 42,
["id"] = "LvMIA1_0503_1550",
["obtiznost"] = 0.5048,
["reseni"] = {
["float"] = -40.96,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1024,
["jmenovatel"] = 25 },
["render"] = "\\frac{5120}{-125}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{24}{25}",
["tex_float"] = "-40{,}96",
["x"] = -40,
["y"] = 24,
["z"] = 25 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 + 5",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-3 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-3 - (-8)}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-3 - (-8)}{-8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{5 + 5}{(\\frac{-3 - (-8)}{-8})^3}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.26, bodu=38, $$(11 + 4\frac{2}{4}) \cdot 8 \cdot 6=\textcolor{white}{744}$$return {
["body"] = 38,
["id"] = "Gjc6Cq_0503_1550",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 744,
["jmenovatel"] = 1 },
["render"] = "\\frac{1488}{2}",
["typ"] = "cislo" },
["tex"] = "744",
["tex_float"] = "744",
["x"] = 744 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(11 + 4\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "(11 + 4\\frac{2}{4}) \\cdot 8 \\cdot 6",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.27, bodu=63, $$(3\frac{2}{4} - \frac{-8}{8})^2 \cdot 4\frac{4}{9}=\textcolor{white}{90}$$return {
["body"] = 63,
["id"] = "pSazz6_0503_1550",
["obtiznost"] = 0.704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 1 },
["render"] = "\\frac{3240}{36}",
["typ"] = "cislo" },
["tex"] = "90",
["tex_float"] = "90",
["x"] = 90 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.27",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{4} - \\frac{-8}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{4} - \\frac{-8}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{4} - \\frac{-8}{8})^2 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.28, bodu=20, $$(-10 + 10)^3 + (-14 - ((9 + 14)^2 + 11))=\textcolor{white}{-554}$$return {
["body"] = 20,
["id"] = "OIWARP_0503_1550",
["obtiznost"] = 0.4924,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -554,
["jmenovatel"] = 1 },
["render"] = "\\frac{-554}{1}",
["typ"] = "cislo" },
["tex"] = "-554",
["x"] = -554 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 + 10",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-10 + 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "9 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(9 + 14)^2 + 11",
["typ"] = "plus" },
["render"] = "((9 + 14)^2 + 11)",
["typ"] = "zavorka" },
["render"] = "-14 - ((9 + 14)^2 + 11)",
["typ"] = "minus" },
["render"] = "(-10 + 10)^3 + (-14 - ((9 + 14)^2 + 11))",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.29, bodu=43, $$\frac{10}{(\frac{13}{12 + 8})^2}=\textcolor{white}{23\frac{113}{169}}$$return {
["body"] = 43,
["id"] = "X4Vzvo_0503_1550",
["obtiznost"] = 0.5176,
["reseni"] = {
["float"] = 23.668639053254,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4000,
["jmenovatel"] = 169 },
["render"] = "\\frac{4000}{169}",
["typ"] = "cislo" },
["tex"] = "23\\frac{113}{169}",
["x"] = 23,
["y"] = 113,
["z"] = 169 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 + 8",
["typ"] = "plus" },
["render"] = "\\frac{13}{12 + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{12 + 8})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{(\\frac{13}{12 + 8})^2}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.3, bodu=12, $$(7 + (-9))^2 - (11 + 12) \cdot -15=\textcolor{white}{349}$$return {
["body"] = 12,
["id"] = "OonyyA_0503_1550",
["obtiznost"] = 0.302,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 349,
["jmenovatel"] = 1 },
["render"] = "\\frac{349}{1}",
["typ"] = "cislo" },
["tex"] = "349",
["x"] = 349 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 + 12",
["typ"] = "plus" },
["render"] = "(11 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(11 + 12) \\cdot -15",
["typ"] = "krat" },
["render"] = "(7 + (-9))^2 - (11 + 12) \\cdot -15",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.31, bodu=25, $$\frac{11 \cdot -11}{-9 \cdot 6}=\textcolor{white}{2\frac{13}{54}}$$return {
["body"] = 25,
["id"] = "FRkHmN_0503_1550",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 2.2407407407407,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 54 },
["render"] = "\\frac{-121}{-54}",
["typ"] = "cislo" },
["tex"] = "2\\frac{13}{54}",
["x"] = 2,
["y"] = 13,
["z"] = 54 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{11 \\cdot -11}{-9 \\cdot 6}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.32, bodu=13, $$-10 \cdot -7 \cdot (7 - 4)^3=\textcolor{white}{1890}$$return {
["body"] = 13,
["id"] = "x0VeFX_0503_1550",
["obtiznost"] = 0.3312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1890,
["jmenovatel"] = 1 },
["render"] = "\\frac{1890}{1}",
["typ"] = "cislo" },
["tex"] = "1890",
["x"] = 1890 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 4)^3",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot -7 \\cdot (7 - 4)^3",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.33, bodu=90, $$\frac{\frac{6}{1\frac{3}{7}} - 1\frac{1}{6}}{3\frac{5}{9}}=\textcolor{white}{\frac{273}{320}}$$return {
["body"] = 90,
["id"] = "5Dvze5_0503_1550",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 0.853125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 273,
["jmenovatel"] = 320 },
["render"] = "\\frac{819}{960}",
["typ"] = "cislo" },
["tex"] = "\\frac{273}{320}",
["y"] = 273,
["z"] = 320 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{1\\frac{3}{7}} - 1\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{1\\frac{3}{7}} - 1\\frac{1}{6}}{3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.34, bodu=13, $$10 + 11 \cdot 11 \cdot -9=\textcolor{white}{-1079}$$return {
["body"] = 13,
["id"] = "Wyfy0O_0503_1550",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1079,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1079}{1}",
["typ"] = "cislo" },
["tex"] = "-1079",
["tex_float"] = "-1079",
["x"] = -1079 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 \\cdot -9",
["typ"] = "krat" },
["render"] = "11 \\cdot 11 \\cdot -9",
["typ"] = "krat" },
["render"] = "10 + 11 \\cdot 11 \\cdot -9",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.35, bodu=46, $$4\frac{2}{9} \cdot \frac{10}{9 + (-7)}=\textcolor{white}{21\frac{1}{9}}$$return {
["body"] = 46,
["id"] = "7GzK7g_0503_1550",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 21.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 190,
["jmenovatel"] = 9 },
["render"] = "\\frac{190}{9}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1}{9}",
["x"] = 21,
["y"] = 1,
["z"] = 9 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{10}{9 + (-7)}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{9} \\cdot \\frac{10}{9 + (-7)}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.36, bodu=124, $$(\frac{4\frac{2}{7}}{9})^2 + 1\frac{3}{7} - 3\frac{3}{5} + 8=\textcolor{white}{6\frac{122}{2205}}$$return {
["body"] = 124,
["id"] = "hY9F3B_0503_1550",
["obtiznost"] = 1.1764,
["reseni"] = {
["float"] = 6.0553287981859,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13352,
["jmenovatel"] = 2205 },
["render"] = "\\frac{13352}{2205}",
["typ"] = "cislo" },
["tex"] = "6\\frac{122}{2205}",
["x"] = 6,
["y"] = 122,
["z"] = 2205 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{2}{7}}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{2}{7}}{9})^2 + 1\\frac{3}{7} - 3\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{2}{7}}{9})^2 + 1\\frac{3}{7} - 3\\frac{3}{5} + 8",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.37, bodu=30, $$(-15 + \frac{8}{-11}) \cdot (-5 + 7)^2=\textcolor{white}{-62\frac{10}{11}}$$return {
["body"] = 30,
["id"] = "P1GiCO_0503_1550",
["obtiznost"] = 0.372,
["reseni"] = {
["float"] = -62.909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -692,
["jmenovatel"] = 11 },
["render"] = "\\frac{-692}{11}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{10}{11}",
["x"] = -62,
["y"] = 10,
["z"] = 11 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-11}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{8}{-11}",
["typ"] = "plus" },
["render"] = "(-15 + \\frac{8}{-11})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 7)^2",
["typ"] = "mocnina" },
["render"] = "(-15 + \\frac{8}{-11}) \\cdot (-5 + 7)^2",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.38, bodu=31, $$\frac{-7 \cdot 4 + 7}{4}=\textcolor{white}{-5{,}25}$$return {
["body"] = 31,
["id"] = "WbETvR_0503_1550",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -5.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 4 },
["render"] = "\\frac{-21}{4}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{4}",
["tex_float"] = "-5{,}25",
["x"] = -5,
["y"] = 1,
["z"] = 4 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 4 + 7}{4}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.39, bodu=50, $$\frac{-13 + (-11 - \frac{-14}{11})}{3\frac{4}{6}}=\textcolor{white}{-6\frac{24}{121}}$$return {
["body"] = 50,
["id"] = "xM7mAR_0503_1550",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -6.198347107438,
["objekt"] = {
["hodnota"] = {
["citatel"] = -750,
["jmenovatel"] = 121 },
["render"] = "\\frac{-750}{121}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{24}{121}",
["x"] = -6,
["y"] = 24,
["z"] = 121 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{11}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{-14}{11}",
["typ"] = "minus" },
["render"] = "-13 + (-11 - \\frac{-14}{11})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + (-11 - \\frac{-14}{11})}{3\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.4, bodu=51, $$11 - (7 - 4\frac{2}{5} \cdot 10 - 3)=\textcolor{white}{51}$$return {
["body"] = 51,
["id"] = "DrR0yw_0503_1550",
["obtiznost"] = 0.6,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 1 },
["render"] = "\\frac{51}{1}",
["typ"] = "cislo" },
["tex"] = "51",
["x"] = 51 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot 10",
["typ"] = "krat" },
["render"] = "7 - 4\\frac{2}{5} \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{2}{5} \\cdot 10 - 3",
["typ"] = "minus" },
["render"] = "(7 - 4\\frac{2}{5} \\cdot 10 - 3)",
["typ"] = "zavorka" },
["render"] = "11 - (7 - 4\\frac{2}{5} \\cdot 10 - 3)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.41, bodu=72, $$12 + (-14 \cdot 1\frac{4}{8})^2 \cdot -4 - (-8)=\textcolor{white}{-1744}$$return {
["body"] = 72,
["id"] = "Wr7TzB_0503_1550",
["obtiznost"] = 0.7868,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1744,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1744}{1}",
["typ"] = "cislo" },
["tex"] = "-1744",
["x"] = -1744 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-14 \\cdot 1\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-14 \\cdot 1\\frac{4}{8})^2 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-14 \\cdot 1\\frac{4}{8})^2 \\cdot -4 - (-8)",
["typ"] = "minus" },
["render"] = "12 + (-14 \\cdot 1\\frac{4}{8})^2 \\cdot -4 - (-8)",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.42, bodu=17, $$5 - 5 \cdot (-10 + (-10) - 12)=\textcolor{white}{165}$$return {
["body"] = 17,
["id"] = "SdNyOH_0503_1550",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 165,
["jmenovatel"] = 1 },
["render"] = "\\frac{165}{1}",
["typ"] = "cislo" },
["tex"] = "165",
["tex_float"] = "165",
["x"] = 165 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 + (-10) - 12",
["typ"] = "minus" },
["render"] = "(-10 + (-10) - 12)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-10 + (-10) - 12)",
["typ"] = "krat" },
["render"] = "5 - 5 \\cdot (-10 + (-10) - 12)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.43, bodu=35, $$7 \cdot 11 + \frac{-6 - 16}{-5}=\textcolor{white}{81{,}4}$$return {
["body"] = 35,
["id"] = "1JysE0_0503_1550",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 81.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 407,
["jmenovatel"] = 5 },
["render"] = "\\frac{407}{5}",
["typ"] = "cislo" },
["tex"] = "81\\frac{2}{5}",
["tex_float"] = "81{,}4",
["x"] = 81,
["y"] = 2,
["z"] = 5 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-6 - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 16}{-5}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot 11 + \\frac{-6 - 16}{-5}",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.44, bodu=79, $$2\frac{1}{5} \cdot \frac{\frac{-10}{5}}{2\frac{4}{8}}=\textcolor{white}{-1{,}76}$$return {
["body"] = 79,
["id"] = "BCOxKO_0503_1550",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -1.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 25 },
["render"] = "\\frac{-44}{25}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{19}{25}",
["tex_float"] = "-1{,}76",
["x"] = -1,
["y"] = 19,
["z"] = 25 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{5}}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{5} \\cdot \\frac{\\frac{-10}{5}}{2\\frac{4}{8}}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.45, bodu=80, $$1\frac{5}{9} - (\frac{-11 \cdot -6}{4\frac{3}{10}} + 9)=\textcolor{white}{-22\frac{307}{387}}$$return {
["body"] = 80,
["id"] = "LKxhj1_0503_1550",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -22.793281653747,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8821,
["jmenovatel"] = 387 },
["render"] = "\\frac{-8821}{387}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{307}{387}",
["x"] = -22,
["y"] = 307,
["z"] = 387 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot -6}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot -6}{4\\frac{3}{10}} + 9",
["typ"] = "plus" },
["render"] = "(\\frac{-11 \\cdot -6}{4\\frac{3}{10}} + 9)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{9} - (\\frac{-11 \\cdot -6}{4\\frac{3}{10}} + 9)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.46, bodu=58, $$\frac{-11}{2\frac{2}{6}} \cdot -11 \cdot 11=\textcolor{white}{570\frac{3}{7}}$$return {
["body"] = 58,
["id"] = "35lMkd_0503_1550",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 570.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3993,
["jmenovatel"] = 7 },
["render"] = "\\frac{3993}{7}",
["typ"] = "cislo" },
["tex"] = "570\\frac{3}{7}",
["x"] = 570,
["y"] = 3,
["z"] = 7 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-11}{2\\frac{2}{6}} \\cdot -11 \\cdot 11",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.47, bodu=58, $$(\frac{(\frac{6}{6})^2 + 13}{10})^3 \cdot 10=\textcolor{white}{27{,}44}$$return {
["body"] = 58,
["id"] = "GMQxyk_0503_1550",
["obtiznost"] = 0.658,
["reseni"] = {
["float"] = 27.44,
["objekt"] = {
["hodnota"] = {
["citatel"] = 686,
["jmenovatel"] = 25 },
["render"] = "\\frac{3430}{125}",
["typ"] = "cislo" },
["tex"] = "27\\frac{11}{25}",
["tex_float"] = "27{,}44",
["x"] = 27,
["y"] = 11,
["z"] = 25 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.47",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{6})^2 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{6}{6})^2 + 13}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(\\frac{6}{6})^2 + 13}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{6}{6})^2 + 13}{10})^3 \\cdot 10",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.48, bodu=60, $$-10 \cdot 2\frac{5}{8} + 9 + \frac{-14}{17}=\textcolor{white}{-18\frac{5}{68}}$$return {
["body"] = 60,
["id"] = "Ik429O_0503_1550",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -18.073529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1229,
["jmenovatel"] = 68 },
["render"] = "\\frac{-1229}{68}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{5}{68}",
["x"] = -18,
["y"] = 5,
["z"] = 68 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 2\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{17}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{-14}{17}",
["typ"] = "plus" },
["render"] = "-10 \\cdot 2\\frac{5}{8} + 9 + \\frac{-14}{17}",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.49, bodu=78, $$2\frac{1}{1} \cdot (2\frac{2}{4} - \frac{-18}{-11 + 8})^3=\textcolor{white}{-128{,}625}$$return {
["body"] = 78,
["id"] = "retrgI_0503_1550",
["obtiznost"] = 0.8304,
["reseni"] = {
["float"] = -128.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1029,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1029}{8}",
["typ"] = "cislo" },
["tex"] = "-128\\frac{5}{8}",
["tex_float"] = "-128{,}625",
["x"] = -128,
["y"] = 5,
["z"] = 8 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-18}{-11 + 8}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{4} - \\frac{-18}{-11 + 8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{4} - \\frac{-18}{-11 + 8})^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{1} \\cdot (2\\frac{2}{4} - \\frac{-18}{-11 + 8})^3",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.5, bodu=41, $$(\frac{9}{-8} + 10) \cdot 4 - 14=\textcolor{white}{21{,}5}$$return {
["body"] = 41,
["id"] = "CcoVRb_0503_1550",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 21.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 2 },
["render"] = "\\frac{43}{2}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1}{2}",
["tex_float"] = "21{,}5",
["x"] = 21,
["y"] = 1,
["z"] = 2 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-8} + 10",
["typ"] = "plus" },
["render"] = "(\\frac{9}{-8} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-8} + 10) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-8} + 10) \\cdot 4 - 14",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.51, bodu=63, $$-6 + \frac{-6}{\frac{-7}{4\frac{4}{7}} - (-5)}=\textcolor{white}{-7\frac{27}{37}}$$return {
["body"] = 63,
["id"] = "MBWurc_0503_1550",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -7.7297297297297,
["objekt"] = {
["hodnota"] = {
["citatel"] = -286,
["jmenovatel"] = 37 },
["render"] = "\\frac{-286}{37}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{27}{37}",
["x"] = -7,
["y"] = 27,
["z"] = 37 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4\\frac{4}{7}} - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{-6}{\\frac{-7}{4\\frac{4}{7}} - (-5)}",
["typ"] = "lomeno" },
["render"] = "-6 + \\frac{-6}{\\frac{-7}{4\\frac{4}{7}} - (-5)}",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.52, bodu=64, $$\frac{\frac{-6}{\frac{3}{1\frac{5}{11}}}}{10}=\textcolor{white}{-\frac{16}{55}}$$return {
["body"] = 64,
["id"] = "1gmECV_0503_1550",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -0.29090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 55 },
["render"] = "\\frac{-32}{110}",
["typ"] = "cislo" },
["tex"] = "-\\frac{16}{55}",
["y"] = -16,
["z"] = 55 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{\\frac{3}{1\\frac{5}{11}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{\\frac{3}{1\\frac{5}{11}}}}{10}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.53, bodu=85, $$\frac{\frac{2\frac{2}{7}}{-10 + (11 - (-9))^2}}{10}=\textcolor{white}{\frac{4}{6825}}$$return {
["body"] = 85,
["id"] = "hf8lqY_0503_1550",
["obtiznost"] = 0.8904,
["reseni"] = {
["float"] = 0.00058608058608059,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 6825 },
["render"] = "\\frac{8}{13650}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{6825}",
["y"] = 4,
["z"] = 6825 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-9))^2",
["typ"] = "mocnina" },
["render"] = "-10 + (11 - (-9))^2",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{2}{7}}{-10 + (11 - (-9))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{2}{7}}{-10 + (11 - (-9))^2}}{10}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.54, bodu=110, $$\frac{11 + 1\frac{1}{8}}{(-8 - (10 - (-11)))^2}=\textcolor{white}{\frac{97}{6728}}$$return {
["body"] = 110,
["id"] = "vqoVyH_0503_1550",
["obtiznost"] = 1.0768,
["reseni"] = {
["float"] = 0.014417360285375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 6728 },
["render"] = "\\frac{97}{6728}",
["typ"] = "cislo" },
["tex"] = "\\frac{97}{6728}",
["y"] = 97,
["z"] = 6728 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 - (-11)",
["typ"] = "minus" },
["render"] = "(10 - (-11))",
["typ"] = "zavorka" },
["render"] = "-8 - (10 - (-11))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - (10 - (-11)))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11 + 1\\frac{1}{8}}{(-8 - (10 - (-11)))^2}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.55, bodu=46, $$\frac{5}{-6} - (-7 - 7 + 7)=\textcolor{white}{6\frac{1}{6}}$$return {
["body"] = 46,
["id"] = "31a12b_0503_1550",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 6.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 6 },
["render"] = "\\frac{37}{6}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1}{6}",
["x"] = 6,
["y"] = 1,
["z"] = 6 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7 + 7",
["typ"] = "plus" },
["render"] = "(-7 - 7 + 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{-6} - (-7 - 7 + 7)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.56, bodu=94, $$4\frac{3}{8} - (-7) + \frac{3\frac{1}{6}}{-3} - 2=\textcolor{white}{8\frac{23}{72}}$$return {
["body"] = 94,
["id"] = "8Say2r_0503_1550",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 8.3194444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 599,
["jmenovatel"] = 72 },
["render"] = "\\frac{1198}{144}",
["typ"] = "cislo" },
["tex"] = "8\\frac{23}{72}",
["x"] = 8,
["y"] = 23,
["z"] = 72 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{-3} - 2",
["typ"] = "minus" },
["render"] = "4\\frac{3}{8} - (-7) + \\frac{3\\frac{1}{6}}{-3} - 2",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.57, bodu=123, $$-15 + \frac{(4\frac{1}{7} + 9) \cdot 1\frac{3}{8}}{2\frac{5}{8}}=\textcolor{white}{-8\frac{17}{147}}$$return {
["body"] = 123,
["id"] = "IJQMtS_0503_1550",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -8.1156462585034,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1193,
["jmenovatel"] = 147 },
["render"] = "\\frac{-1193}{147}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{17}{147}",
["x"] = -8,
["y"] = 17,
["z"] = 147 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 9",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{7} + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} + 9) \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(4\\frac{1}{7} + 9) \\cdot 1\\frac{3}{8}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{(4\\frac{1}{7} + 9) \\cdot 1\\frac{3}{8}}{2\\frac{5}{8}}",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.58, bodu=109, $$\frac{(\frac{1\frac{5}{9}}{14})^3 \cdot (-12 - 8)}{-10}=\textcolor{white}{\frac{2}{729}}$$return {
["body"] = 109,
["id"] = "VwiwOQ_0503_1550",
["obtiznost"] = 1.072,
["reseni"] = {
["float"] = 0.0027434842249657,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 729 },
["render"] = "\\frac{-20}{-7290}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{729}",
["y"] = 2,
["z"] = 729 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{5}{9}}{14})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 - 8",
["typ"] = "minus" },
["render"] = "(-12 - 8)",
["typ"] = "zavorka" },
["render"] = "(\\frac{1\\frac{5}{9}}{14})^3 \\cdot (-12 - 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{1\\frac{5}{9}}{14})^3 \\cdot (-12 - 8)}{-10}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.59, bodu=159, $$\frac{14 \cdot 1\frac{1}{4} + (\frac{3\frac{4}{6}}{2\frac{1}{5}})^2}{4\frac{2}{3}}=\textcolor{white}{4\frac{29}{84}}$$return {
["body"] = 159,
["id"] = "9rxJXe_0503_1550",
["obtiznost"] = 1.4036,
["reseni"] = {
["float"] = 4.3452380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 365,
["jmenovatel"] = 84 },
["render"] = "\\frac{1095}{252}",
["typ"] = "cislo" },
["tex"] = "4\\frac{29}{84}",
["x"] = 4,
["y"] = 29,
["z"] = 84 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{4}{6}}{2\\frac{1}{5}})^2",
["typ"] = "mocnina" },
["render"] = "14 \\cdot 1\\frac{1}{4} + (\\frac{3\\frac{4}{6}}{2\\frac{1}{5}})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot 1\\frac{1}{4} + (\\frac{3\\frac{4}{6}}{2\\frac{1}{5}})^2}{4\\frac{2}{3}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.6, bodu=159, $$(10 - (-12)) \cdot (4\frac{5}{10} \cdot 1\frac{3}{7} \cdot 4\frac{2}{7} + 2\frac{4}{10})=\textcolor{white}{658\frac{226}{245}}$$return {
["body"] = 159,
["id"] = "NJuDPr_0503_1550",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 658.92244897959,
["objekt"] = {
["hodnota"] = {
["citatel"] = 161436,
["jmenovatel"] = 245 },
["render"] = "\\frac{161436}{245}",
["typ"] = "cislo" },
["tex"] = "658\\frac{226}{245}",
["x"] = 658,
["y"] = 226,
["z"] = 245 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 - (-12)",
["typ"] = "minus" },
["render"] = "(10 - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot 1\\frac{3}{7} \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot 1\\frac{3}{7} \\cdot 4\\frac{2}{7} + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} \\cdot 1\\frac{3}{7} \\cdot 4\\frac{2}{7} + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "(10 - (-12)) \\cdot (4\\frac{5}{10} \\cdot 1\\frac{3}{7} \\cdot 4\\frac{2}{7} + 2\\frac{4}{10})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.61, bodu=101, $$-5 \cdot (-14 \cdot 4\frac{3}{12} - (10 - 3\frac{3}{9} - (-9)))=\textcolor{white}{375\frac{5}{6}}$$return {
["body"] = 101,
["id"] = "djmx1A_0503_1550",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 375.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2255,
["jmenovatel"] = 6 },
["render"] = "\\frac{2255}{6}",
["typ"] = "cislo" },
["tex"] = "375\\frac{5}{6}",
["x"] = 375,
["y"] = 5,
["z"] = 6 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{3}{9} - (-9)",
["typ"] = "minus" },
["render"] = "(10 - 3\\frac{3}{9} - (-9))",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot 4\\frac{3}{12} - (10 - 3\\frac{3}{9} - (-9))",
["typ"] = "minus" },
["render"] = "(-14 \\cdot 4\\frac{3}{12} - (10 - 3\\frac{3}{9} - (-9)))",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (-14 \\cdot 4\\frac{3}{12} - (10 - 3\\frac{3}{9} - (-9)))",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.62, bodu=76, $$\frac{11}{-10} + 1\frac{4}{10} - (-5) - \frac{6}{-12}=\textcolor{white}{5{,}8}$$return {
["body"] = 76,
["id"] = "k071ff_0503_1550",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 5.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 5 },
["render"] = "\\frac{116}{20}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4}{5}",
["tex_float"] = "5{,}8",
["x"] = 5,
["y"] = 4,
["z"] = 5 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{11}{-10} + 1\\frac{4}{10} - (-5)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{-10} + 1\\frac{4}{10} - (-5) - \\frac{6}{-12}",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.63, bodu=104, $$\frac{\frac{8}{1\frac{2}{4}} \cdot -11}{1\frac{3}{6} + 14}=\textcolor{white}{-3\frac{73}{93}}$$return {
["body"] = 104,
["id"] = "GB8T5H_0503_1550",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -3.7849462365591,
["objekt"] = {
["hodnota"] = {
["citatel"] = -352,
["jmenovatel"] = 93 },
["render"] = "\\frac{-352}{93}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{73}{93}",
["x"] = -3,
["y"] = 73,
["z"] = 93 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{2}{4}} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 14",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{8}{1\\frac{2}{4}} \\cdot -11}{1\\frac{3}{6} + 14}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.64, bodu=105, $$\frac{9}{\frac{12}{2\frac{1}{7}} + 2\frac{3}{9} \cdot 14}=\textcolor{white}{\frac{135}{574}}$$return {
["body"] = 105,
["id"] = "NCsinw_0503_1550",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 0.23519163763066,
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 574 },
["render"] = "\\frac{135}{574}",
["typ"] = "cislo" },
["tex"] = "\\frac{135}{574}",
["y"] = 135,
["z"] = 574 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{12}{2\\frac{1}{7}} + 2\\frac{3}{9} \\cdot 14",
["typ"] = "plus" },
["render"] = "\\frac{9}{\\frac{12}{2\\frac{1}{7}} + 2\\frac{3}{9} \\cdot 14}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.65, bodu=123, $$\frac{15 \cdot 7}{-15 - (-10)} + (1\frac{3}{9} + 8)^2=\textcolor{white}{66\frac{1}{9}}$$return {
["body"] = 123,
["id"] = "o5f1V9_0503_1550",
["obtiznost"] = 1.1672,
["reseni"] = {
["float"] = 66.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 595,
["jmenovatel"] = 9 },
["render"] = "\\frac{595}{9}",
["typ"] = "cislo" },
["tex"] = "66\\frac{1}{9}",
["x"] = 66,
["y"] = 1,
["z"] = 9 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "15 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-15 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{15 \\cdot 7}{-15 - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{9} + 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{15 \\cdot 7}{-15 - (-10)} + (1\\frac{3}{9} + 8)^2",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.66, bodu=155, $$-11 \cdot 4\frac{1}{4} - 16 - (-11 + 2\frac{5}{9} - (-8))^3=\textcolor{white}{-62\frac{1931}{2916}}$$return {
["body"] = 155,
["id"] = "sYTNSf_0503_1550",
["obtiznost"] = 1.3772,
["reseni"] = {
["float"] = -62.662208504801,
["objekt"] = {
["hodnota"] = {
["citatel"] = -182723,
["jmenovatel"] = 2916 },
["render"] = "\\frac{-182723}{2916}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{1931}{2916}",
["x"] = -62,
["y"] = 1931,
["z"] = 2916 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4\\frac{1}{4} - 16",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - (-8)",
["typ"] = "minus" },
["render"] = "-11 + 2\\frac{5}{9} - (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 2\\frac{5}{9} - (-8))^3",
["typ"] = "mocnina" },
["render"] = "-11 \\cdot 4\\frac{1}{4} - 16 - (-11 + 2\\frac{5}{9} - (-8))^3",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.67, bodu=109, $$\frac{1\frac{1}{6} - \frac{17}{(10 + (-9))^4}}{-6 \cdot 2\frac{3}{7}}=\textcolor{white}{1\frac{53}{612}}$$return {
["body"] = 109,
["id"] = "5kD3Ek_0503_1550",
["obtiznost"] = 1.0708,
["reseni"] = {
["float"] = 1.0866013071895,
["objekt"] = {
["hodnota"] = {
["citatel"] = 665,
["jmenovatel"] = 612 },
["render"] = "\\frac{-665}{-612}",
["typ"] = "cislo" },
["tex"] = "1\\frac{53}{612}",
["x"] = 1,
["y"] = 53,
["z"] = 612 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-9))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{17}{(10 + (-9))^4}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{6} - \\frac{17}{(10 + (-9))^4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{6} - \\frac{17}{(10 + (-9))^4}}{-6 \\cdot 2\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.68, bodu=111, $$\frac{3\frac{2}{6}}{3 \cdot 1\frac{5}{7} \cdot 16 \cdot 14}=\textcolor{white}{\frac{5}{1728}}$$return {
["body"] = 111,
["id"] = "dSEZd8_0503_1550",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 0.0028935185185185,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1728 },
["render"] = "\\frac{10}{3456}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{1728}",
["y"] = 5,
["z"] = 1728 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} \\cdot 16 \\cdot 14",
["typ"] = "krat" },
["render"] = "3 \\cdot 1\\frac{5}{7} \\cdot 16 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{6}}{3 \\cdot 1\\frac{5}{7} \\cdot 16 \\cdot 14}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.69, bodu=86, $$-10 \cdot (8 + (-6))^3 - (10 + 2 + 4\frac{2}{7} + (-2))=\textcolor{white}{-94\frac{2}{7}}$$return {
["body"] = 86,
["id"] = "ijlYtc_0503_1550",
["obtiznost"] = 0.8936,
["reseni"] = {
["float"] = -94.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -660,
["jmenovatel"] = 7 },
["render"] = "\\frac{-660}{7}",
["typ"] = "cislo" },
["tex"] = "-94\\frac{2}{7}",
["x"] = -94,
["y"] = 2,
["z"] = 7 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(8 + (-6))^3",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (8 + (-6))^3",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "10 + 2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + (-2)",
["typ"] = "plus" },
["render"] = "10 + 2 + 4\\frac{2}{7} + (-2)",
["typ"] = "plus" },
["render"] = "(10 + 2 + 4\\frac{2}{7} + (-2))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (8 + (-6))^3 - (10 + 2 + 4\\frac{2}{7} + (-2))",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.7, bodu=86, $$15 \cdot (12 - 1\frac{1}{5}) \cdot (15 + (-8) + (-9 + (-9)))=\textcolor{white}{-1782}$$return {
["body"] = 86,
["id"] = "UMGeY0_0503_1550",
["obtiznost"] = 0.9,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1782,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8910}{5}",
["typ"] = "cislo" },
["tex"] = "-1782",
["tex_float"] = "-1782",
["x"] = -1782 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "12 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(12 - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "15 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-9 + (-9)",
["typ"] = "plus" },
["render"] = "15 + (-8) + (-9 + (-9))",
["typ"] = "plus" },
["render"] = "(15 + (-8) + (-9 + (-9)))",
["typ"] = "zavorka" },
["render"] = "(12 - 1\\frac{1}{5}) \\cdot (15 + (-8) + (-9 + (-9)))",
["typ"] = "krat" },
["render"] = "15 \\cdot (12 - 1\\frac{1}{5}) \\cdot (15 + (-8) + (-9 + (-9)))",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.71, bodu=88, $$\frac{-19}{-11} - \frac{4}{3\frac{4}{5}} - (-13)=\textcolor{white}{13\frac{141}{209}}$$return {
["body"] = 88,
["id"] = "pRspaL_0503_1550",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 13.674641148325,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2858,
["jmenovatel"] = 209 },
["render"] = "\\frac{2858}{209}",
["typ"] = "cislo" },
["tex"] = "13\\frac{141}{209}",
["x"] = 13,
["y"] = 141,
["z"] = 209 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{3\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-19}{-11} - \\frac{4}{3\\frac{4}{5}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-11} - \\frac{4}{3\\frac{4}{5}} - (-13)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.72, bodu=89, $$\frac{17}{-14 - 18} \cdot \frac{10}{3\frac{5}{11}}=\textcolor{white}{-1\frac{327}{608}}$$return {
["body"] = 89,
["id"] = "7inrGc_0503_1550",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -1.5378289473684,
["objekt"] = {
["hodnota"] = {
["citatel"] = -935,
["jmenovatel"] = 608 },
["render"] = "\\frac{-935}{608}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{327}{608}",
["x"] = -1,
["y"] = 327,
["z"] = 608 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-14 - 18",
["typ"] = "minus" },
["render"] = "\\frac{17}{-14 - 18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{-14 - 18} \\cdot \\frac{10}{3\\frac{5}{11}}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.73, bodu=76, $$-12 - (8 - 14)^3 - \frac{5}{9 + (-19)}=\textcolor{white}{204{,}5}$$return {
["body"] = 76,
["id"] = "k4MkBf_0503_1550",
["obtiznost"] = 0.8168,
["reseni"] = {
["float"] = 204.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 409,
["jmenovatel"] = 2 },
["render"] = "\\frac{409}{2}",
["typ"] = "cislo" },
["tex"] = "204\\frac{1}{2}",
["tex_float"] = "204{,}5",
["x"] = 204,
["y"] = 1,
["z"] = 2 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - 14",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 14)^3",
["typ"] = "mocnina" },
["render"] = "-12 - (8 - 14)^3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "9 + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{5}{9 + (-19)}",
["typ"] = "lomeno" },
["render"] = "-12 - (8 - 14)^3 - \\frac{5}{9 + (-19)}",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.74, bodu=119, $$\frac{-21}{-12 \cdot 11} \cdot (4\frac{1}{8} + 3\frac{1}{6})=\textcolor{white}{1\frac{169}{1056}}$$return {
["body"] = 119,
["id"] = "oWxxvU_0503_1550",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 1.1600378787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1225,
["jmenovatel"] = 1056 },
["render"] = "\\frac{1225}{1056}",
["typ"] = "cislo" },
["tex"] = "1\\frac{169}{1056}",
["x"] = 1,
["y"] = 169,
["z"] = 1056 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-21}{-12 \\cdot 11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{8} + 3\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{-21}{-12 \\cdot 11} \\cdot (4\\frac{1}{8} + 3\\frac{1}{6})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.75, bodu=93, $$(-13 - 10 + (-14)) \cdot (-16 + \frac{20}{3\frac{4}{12}})=\textcolor{white}{370}$$return {
["body"] = 93,
["id"] = "cDGudr_0503_1550",
["obtiznost"] = 0.95,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 370,
["jmenovatel"] = 1 },
["render"] = "\\frac{370}{1}",
["typ"] = "cislo" },
["tex"] = "370",
["x"] = 370 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 - 10 + (-14)",
["typ"] = "plus" },
["render"] = "(-13 - 10 + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{3\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{20}{3\\frac{4}{12}}",
["typ"] = "plus" },
["render"] = "(-16 + \\frac{20}{3\\frac{4}{12}})",
["typ"] = "zavorka" },
["render"] = "(-13 - 10 + (-14)) \\cdot (-16 + \\frac{20}{3\\frac{4}{12}})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.76, bodu=122, $$-11 - 9 + (-8 - 1\frac{1}{8}) - 2\frac{2}{8} \cdot 14=\textcolor{white}{-60{,}625}$$return {
["body"] = 122,
["id"] = "rH8swZ_0503_1550",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -60.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -485,
["jmenovatel"] = 8 },
["render"] = "\\frac{-970}{16}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{5}{8}",
["tex_float"] = "-60{,}625",
["x"] = -60,
["y"] = 5,
["z"] = 8 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-8 - 1\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "-11 - 9 + (-8 - 1\\frac{1}{8})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot 14",
["typ"] = "krat" },
["render"] = "-11 - 9 + (-8 - 1\\frac{1}{8}) - 2\\frac{2}{8} \\cdot 14",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.77, bodu=35, $$(-16 - (-12 \cdot -18)) \cdot -15 \cdot 15=\textcolor{white}{52200}$$return {
["body"] = 35,
["id"] = "DAPQhT_0503_1550",
["obtiznost"] = 0.77,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 52200,
["jmenovatel"] = 1 },
["render"] = "\\frac{52200}{1}",
["typ"] = "cislo" },
["tex"] = "52200",
["x"] = 52200 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -18",
["typ"] = "krat" },
["render"] = "-16 - (-12 \\cdot -18)",
["typ"] = "minus" },
["render"] = "(-16 - (-12 \\cdot -18))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 15",
["typ"] = "krat" },
["render"] = "(-16 - (-12 \\cdot -18)) \\cdot -15 \\cdot 15",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.78, bodu=49, $$(11 + 14) \cdot (-19 + 22) + (-12 + (-11))^2 - (-16)=\textcolor{white}{620}$$return {
["body"] = 49,
["id"] = "wbdfox_0503_1550",
["obtiznost"] = 0.992,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 620,
["jmenovatel"] = 1 },
["render"] = "\\frac{620}{1}",
["typ"] = "cislo" },
["tex"] = "620",
["x"] = 620 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "11 + 14",
["typ"] = "plus" },
["render"] = "(11 + 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "-19 + 22",
["typ"] = "plus" },
["render"] = "(-19 + 22)",
["typ"] = "zavorka" },
["render"] = "(11 + 14) \\cdot (-19 + 22)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(-12 + (-11))^2 - (-16)",
["typ"] = "minus" },
["render"] = "(11 + 14) \\cdot (-19 + 22) + (-12 + (-11))^2 - (-16)",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.79, bodu=199, $$(-13 + 1\frac{4}{10} + 1\frac{1}{9} + (19 + 6)^2) \cdot -9 \cdot 2\frac{3}{11}=\textcolor{white}{-12569\frac{6}{11}}$$return {
["body"] = 199,
["id"] = "rFThRz_0503_1550",
["obtiznost"] = 1.6404,
["reseni"] = {
["float"] = -12569.545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -138265,
["jmenovatel"] = 11 },
["render"] = "\\frac{-6221925}{495}",
["typ"] = "cislo" },
["tex"] = "-12569\\frac{6}{11}",
["x"] = -12569,
["y"] = 6,
["z"] = 11 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{4}{10} + 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "19 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 + 6)^2",
["typ"] = "mocnina" },
["render"] = "-13 + 1\\frac{4}{10} + 1\\frac{1}{9} + (19 + 6)^2",
["typ"] = "plus" },
["render"] = "(-13 + 1\\frac{4}{10} + 1\\frac{1}{9} + (19 + 6)^2)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 2\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "(-13 + 1\\frac{4}{10} + 1\\frac{1}{9} + (19 + 6)^2) \\cdot -9 \\cdot 2\\frac{3}{11}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.8, bodu=100, $$\frac{4 + 15}{\frac{19}{1\frac{4}{9}}} + (-13 \cdot 18)=\textcolor{white}{-232\frac{5}{9}}$$return {
["body"] = 100,
["id"] = "VYL8a5_0503_1550",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -232.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2093,
["jmenovatel"] = 9 },
["render"] = "\\frac{-2093}{9}",
["typ"] = "cislo" },
["tex"] = "-232\\frac{5}{9}",
["x"] = -232,
["y"] = 5,
["z"] = 9 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4 + 15}{\\frac{19}{1\\frac{4}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{4 + 15}{\\frac{19}{1\\frac{4}{9}}} + (-13 \\cdot 18)",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.81, bodu=129, $$\frac{-11 - 21}{1\frac{5}{11} + \frac{15}{4\frac{1}{3}} - 10}=\textcolor{white}{6\frac{214}{727}}$$return {
["body"] = 129,
["id"] = "Rm4CAg_0503_1550",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 6.2943603851444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4576,
["jmenovatel"] = 727 },
["render"] = "\\frac{-4576}{-727}",
["typ"] = "cislo" },
["tex"] = "6\\frac{214}{727}",
["x"] = 6,
["y"] = 214,
["z"] = 727 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-11 - 21",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} + \\frac{15}{4\\frac{1}{3}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} + \\frac{15}{4\\frac{1}{3}} - 10",
["typ"] = "minus" },
["render"] = "\\frac{-11 - 21}{1\\frac{5}{11} + \\frac{15}{4\\frac{1}{3}} - 10}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.82, bodu=131, $$-6 \cdot \frac{\frac{(-15 - (-16))^4}{4\frac{2}{9} - 9}}{1\frac{5}{10}}=\textcolor{white}{\frac{36}{43}}$$return {
["body"] = 131,
["id"] = "xggDDa_0503_1550",
["obtiznost"] = 1.2208,
["reseni"] = {
["float"] = 0.83720930232558,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 43 },
["render"] = "\\frac{36}{43}",
["typ"] = "cislo" },
["tex"] = "\\frac{36}{43}",
["y"] = 36,
["z"] = 43 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-15 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-15 - (-16))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} - 9",
["typ"] = "minus" },
["render"] = "\\frac{(-15 - (-16))^4}{4\\frac{2}{9} - 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(-15 - (-16))^4}{4\\frac{2}{9} - 9}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "-6 \\cdot \\frac{\\frac{(-15 - (-16))^4}{4\\frac{2}{9} - 9}}{1\\frac{5}{10}}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.83, bodu=197, $$\frac{1\frac{2}{7}}{\frac{3\frac{1}{3}}{3\frac{1}{5} + 3\frac{3}{9}} - ((-13 + 12)^3 - 21)}=\textcolor{white}{\frac{63}{1103}}$$return {
["body"] = 197,
["id"] = "r6KOJo_0503_1550",
["obtiznost"] = 1.6308,
["reseni"] = {
["float"] = 0.057116953762466,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1103 },
["render"] = "\\frac{441}{7721}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{1103}",
["y"] = 63,
["z"] = 1103 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{3}}{3\\frac{1}{5} + 3\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "(-13 + 12)^3 - 21",
["typ"] = "minus" },
["render"] = "((-13 + 12)^3 - 21)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{1}{3}}{3\\frac{1}{5} + 3\\frac{3}{9}} - ((-13 + 12)^3 - 21)",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{7}}{\\frac{3\\frac{1}{3}}{3\\frac{1}{5} + 3\\frac{3}{9}} - ((-13 + 12)^3 - 21)}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.84, bodu=165, $$\frac{-14 - 2\frac{3}{10}}{2\frac{2}{12} + (-12 \cdot (3\frac{3}{8} + (-7 + 14)))}=\textcolor{white}{\frac{489}{3670}}$$return {
["body"] = 165,
["id"] = "tAlJ9X_0503_1550",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = 0.13324250681199,
["objekt"] = {
["hodnota"] = {
["citatel"] = 489,
["jmenovatel"] = 3670 },
["render"] = "\\frac{-489}{-3670}",
["typ"] = "cislo" },
["tex"] = "\\frac{489}{3670}",
["y"] = 489,
["z"] = 3670 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-14 - 2\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-7 + 14",
["typ"] = "plus" },
["render"] = "3\\frac{3}{8} + (-7 + 14)",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + (-7 + 14))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (3\\frac{3}{8} + (-7 + 14))",
["typ"] = "krat" },
["render"] = "2\\frac{2}{12} + (-12 \\cdot (3\\frac{3}{8} + (-7 + 14)))",
["typ"] = "plus" },
["render"] = "\\frac{-14 - 2\\frac{3}{10}}{2\\frac{2}{12} + (-12 \\cdot (3\\frac{3}{8} + (-7 + 14)))}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.85, bodu=119, $$4 \cdot \frac{-11}{(-9 - (-15))^3} + \frac{-18}{4\frac{5}{13}}=\textcolor{white}{-4\frac{317}{1026}}$$return {
["body"] = 119,
["id"] = "mQRE3L_0503_1550",
["obtiznost"] = 1.1368,
["reseni"] = {
["float"] = -4.3089668615984,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4421,
["jmenovatel"] = 1026 },
["render"] = "\\frac{-4421}{1026}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{317}{1026}",
["x"] = -4,
["y"] = 317,
["z"] = 1026 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-9 - (-15))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-11}{(-9 - (-15))^3}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{-11}{(-9 - (-15))^3}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{-11}{(-9 - (-15))^3} + \\frac{-18}{4\\frac{5}{13}}",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.86, bodu=202, $$1\frac{1}{7} - (3\frac{5}{8} + (-13) + 12 - (4\frac{2}{13} + 12 + \frac{-11}{3\frac{2}{8}}))=\textcolor{white}{11\frac{209}{728}}$$return {
["body"] = 202,
["id"] = "b4goDW_0503_1550",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = 11.287087912088,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8217,
["jmenovatel"] = 728 },
["render"] = "\\frac{8217}{728}",
["typ"] = "cislo" },
["tex"] = "11\\frac{209}{728}",
["x"] = 11,
["y"] = 209,
["z"] = 728 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + (-13) + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{13} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{13} + 12 + \\frac{-11}{3\\frac{2}{8}}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{13} + 12 + \\frac{-11}{3\\frac{2}{8}})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} + (-13) + 12 - (4\\frac{2}{13} + 12 + \\frac{-11}{3\\frac{2}{8}})",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{8} + (-13) + 12 - (4\\frac{2}{13} + 12 + \\frac{-11}{3\\frac{2}{8}}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{7} - (3\\frac{5}{8} + (-13) + 12 - (4\\frac{2}{13} + 12 + \\frac{-11}{3\\frac{2}{8}}))",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.87, bodu=172, $$\frac{(3\frac{1}{5} + 4\frac{3}{10} \cdot 1\frac{4}{7}) \cdot -14}{(6 - 12)^2}=\textcolor{white}{-3\frac{157}{180}}$$return {
["body"] = 172,
["id"] = "qS1mhz_0503_1550",
["obtiznost"] = 1.4848,
["reseni"] = {
["float"] = -3.8722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -697,
["jmenovatel"] = 180 },
["render"] = "\\frac{-697}{180}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{157}{180}",
["x"] = -3,
["y"] = 157,
["z"] = 180 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} \\cdot 1\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{5} + 4\\frac{3}{10} \\cdot 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{5} + 4\\frac{3}{10} \\cdot 1\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{5} + 4\\frac{3}{10} \\cdot 1\\frac{4}{7}) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(3\\frac{1}{5} + 4\\frac{3}{10} \\cdot 1\\frac{4}{7}) \\cdot -14}{(6 - 12)^2}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.88, bodu=140, $$-18 \cdot (\frac{16}{3\frac{1}{4}} + 21 \cdot -15 - 14 + 4\frac{4}{9})=\textcolor{white}{5753\frac{5}{13}}$$return {
["body"] = 140,
["id"] = "hJ4Vc2_0503_1550",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 5753.3846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 74794,
["jmenovatel"] = 13 },
["render"] = "\\frac{673146}{117}",
["typ"] = "cislo" },
["tex"] = "5753\\frac{5}{13}",
["x"] = 5753,
["y"] = 5,
["z"] = 13 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "21 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{16}{3\\frac{1}{4}} + 21 \\cdot -15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{4}} + 21 \\cdot -15 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{4}} + 21 \\cdot -15 - 14 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{16}{3\\frac{1}{4}} + 21 \\cdot -15 - 14 + 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (\\frac{16}{3\\frac{1}{4}} + 21 \\cdot -15 - 14 + 4\\frac{4}{9})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.89, bodu=112, $$\frac{-14 - 14 + (-17)}{-12 + (-14 + 3\frac{2}{9} - (-10))}=\textcolor{white}{3\frac{12}{23}}$$return {
["body"] = 112,
["id"] = "4jqvml_0503_1550",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 3.5217391304348,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 23 },
["render"] = "\\frac{-405}{-115}",
["typ"] = "cislo" },
["tex"] = "3\\frac{12}{23}",
["x"] = 3,
["y"] = 12,
["z"] = 23 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-14 - 14 + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - (-10)",
["typ"] = "minus" },
["render"] = "-14 + 3\\frac{2}{9} - (-10)",
["typ"] = "plus" },
["render"] = "-12 + (-14 + 3\\frac{2}{9} - (-10))",
["typ"] = "plus" },
["render"] = "\\frac{-14 - 14 + (-17)}{-12 + (-14 + 3\\frac{2}{9} - (-10))}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.9, bodu=175, $$\frac{3\frac{1}{10} \cdot -15}{-5 \cdot (13 + 3\frac{3}{8}) + 10 + 4\frac{4}{9}}=\textcolor{white}{\frac{3348}{4855}}$$return {
["body"] = 175,
["id"] = "XXRqHk_0503_1550",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 0.68959835221421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3348,
["jmenovatel"] = 4855 },
["render"] = "\\frac{-6696}{-9710}",
["typ"] = "cislo" },
["tex"] = "\\frac{3348}{4855}",
["y"] = 3348,
["z"] = 4855 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (13 + 3\\frac{3}{8})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "10 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "-5 \\cdot (13 + 3\\frac{3}{8}) + 10 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{10} \\cdot -15}{-5 \\cdot (13 + 3\\frac{3}{8}) + 10 + 4\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.91, bodu=201, $$\frac{2\frac{5}{9}}{-13} + \frac{1\frac{4}{12}}{3\frac{5}{11}} + (\frac{13}{-14})^2=\textcolor{white}{1\frac{22495}{435708}}$$return {
["body"] = 201,
["id"] = "F4sbdH_0503_1550",
["obtiznost"] = 1.656,
["reseni"] = {
["float"] = 1.0516286136587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 458203,
["jmenovatel"] = 435708 },
["render"] = "\\frac{458203}{435708}",
["typ"] = "cislo" },
["tex"] = "1\\frac{22495}{435708}",
["x"] = 1,
["y"] = 22495,
["z"] = 435708 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12}}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{9}}{-13} + \\frac{1\\frac{4}{12}}{3\\frac{5}{11}}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{-14})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{5}{9}}{-13} + \\frac{1\\frac{4}{12}}{3\\frac{5}{11}} + (\\frac{13}{-14})^2",
["typ"] = "plus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.92, bodu=120, $$\frac{-8 \cdot -12}{\frac{(\frac{14}{12})^3}{-23}}=\textcolor{white}{-1390\frac{158}{343}}$$return {
["body"] = 120,
["id"] = "XGzxuO_0503_1550",
["obtiznost"] = 1.1436,
["reseni"] = {
["float"] = -1390.4606413994,
["objekt"] = {
["hodnota"] = {
["citatel"] = -476928,
["jmenovatel"] = 343 },
["render"] = "\\frac{476928}{-343}",
["typ"] = "cislo" },
["tex"] = "-1390\\frac{158}{343}",
["x"] = -1390,
["y"] = 158,
["z"] = 343 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{14}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{12})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{14}{12})^3}{-23}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8 \\cdot -12}{\\frac{(\\frac{14}{12})^3}{-23}}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.93, bodu=214, $$(-18 + \frac{3\frac{4}{7}}{5}) \cdot 4\frac{2}{8} \cdot 2\frac{5}{15} - 2\frac{4}{10}=\textcolor{white}{-173\frac{49}{60}}$$return {
["body"] = 214,
["id"] = "ooWKsG_0503_1550",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = -173.81666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10429,
["jmenovatel"] = 60 },
["render"] = "\\frac{-10429}{60}",
["typ"] = "cislo" },
["tex"] = "-173\\frac{49}{60}",
["x"] = -173,
["y"] = 49,
["z"] = 60 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{7}}{5}",
["typ"] = "lomeno" },
["render"] = "-18 + \\frac{3\\frac{4}{7}}{5}",
["typ"] = "plus" },
["render"] = "(-18 + \\frac{3\\frac{4}{7}}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(-18 + \\frac{3\\frac{4}{7}}{5}) \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "(-18 + \\frac{3\\frac{4}{7}}{5}) \\cdot 4\\frac{2}{8} \\cdot 2\\frac{5}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-18 + \\frac{3\\frac{4}{7}}{5}) \\cdot 4\\frac{2}{8} \\cdot 2\\frac{5}{15} - 2\\frac{4}{10}",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.94, bodu=181, $$3\frac{5}{15} \cdot (-7 + \frac{18}{2\frac{5}{12}} - \frac{2\frac{3}{9}}{-12})=\textcolor{white}{2\frac{223}{1566}}$$return {
["body"] = 181,
["id"] = "6gt0VR_0503_1550",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 2.1424010217114,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3355,
["jmenovatel"] = 1566 },
["render"] = "\\frac{6710}{3132}",
["typ"] = "cislo" },
["tex"] = "2\\frac{223}{1566}",
["x"] = 2,
["y"] = 223,
["z"] = 1566 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "-7 + \\frac{18}{2\\frac{5}{12}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{-12}",
["typ"] = "lomeno" },
["render"] = "-7 + \\frac{18}{2\\frac{5}{12}} - \\frac{2\\frac{3}{9}}{-12}",
["typ"] = "minus" },
["render"] = "(-7 + \\frac{18}{2\\frac{5}{12}} - \\frac{2\\frac{3}{9}}{-12})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{15} \\cdot (-7 + \\frac{18}{2\\frac{5}{12}} - \\frac{2\\frac{3}{9}}{-12})",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.95, bodu=218, $$2\frac{3}{10} \cdot \frac{-9}{1\frac{2}{10} \cdot 3\frac{5}{11}} \cdot 3\frac{5}{10}=\textcolor{white}{-17\frac{145}{304}}$$return {
["body"] = 218,
["id"] = "HT9Ou5_0503_1550",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -17.476973684211,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5313,
["jmenovatel"] = 304 },
["render"] = "\\frac{-26565}{1520}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{145}{304}",
["x"] = -17,
["y"] = 145,
["z"] = 304 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "\\frac{-9}{1\\frac{2}{10} \\cdot 3\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{1\\frac{2}{10} \\cdot 3\\frac{5}{11}} \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{10} \\cdot \\frac{-9}{1\\frac{2}{10} \\cdot 3\\frac{5}{11}} \\cdot 3\\frac{5}{10}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.96, bodu=185, $$\frac{22}{(13 + 3\frac{2}{6}) \cdot (-5 \cdot 1\frac{5}{8} + 3\frac{4}{13})}=\textcolor{white}{-\frac{2288}{8183}}$$return {
["body"] = 185,
["id"] = "ry2e61_0503_1550",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -0.27960405719174,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2288,
["jmenovatel"] = 8183 },
["render"] = "\\frac{2288}{-8183}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2288}{8183}",
["y"] = -2288,
["z"] = 8183 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{5}{8} + 3\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(-5 \\cdot 1\\frac{5}{8} + 3\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "(13 + 3\\frac{2}{6}) \\cdot (-5 \\cdot 1\\frac{5}{8} + 3\\frac{4}{13})",
["typ"] = "krat" },
["render"] = "\\frac{22}{(13 + 3\\frac{2}{6}) \\cdot (-5 \\cdot 1\\frac{5}{8} + 3\\frac{4}{13})}",
["typ"] = "lomeno" } }
seed: 5jm59otx4W3mQRxrGEbx_0.97, bodu=187, $$\frac{1\frac{3}{7} + (-6) + (-10) - 1\frac{4}{9}}{3\frac{3}{12}} - (-11 - 7)=\textcolor{white}{13\frac{59}{819}}$$return {
["body"] = 187,
["id"] = "EISZmV_0503_1550",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 13.072039072039,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10706,
["jmenovatel"] = 819 },
["render"] = "\\frac{10706}{819}",
["typ"] = "cislo" },
["tex"] = "13\\frac{59}{819}",
["x"] = 13,
["y"] = 59,
["z"] = 819 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + (-6) + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + (-6) + (-10) - 1\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7} + (-6) + (-10) - 1\\frac{4}{9}}{3\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 - 7",
["typ"] = "minus" },
["render"] = "(-11 - 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{3}{7} + (-6) + (-10) - 1\\frac{4}{9}}{3\\frac{3}{12}} - (-11 - 7)",
["typ"] = "minus" } }
seed: 5jm59otx4W3mQRxrGEbx_0.98, bodu=155, $$1\frac{4}{10} \cdot (2\frac{2}{9} + 6 - (-15)) \cdot \frac{-9}{-20}=\textcolor{white}{14{,}63}$$return {
["body"] = 155,
["id"] = "dkdsmA_0503_1550",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 14.63,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1463,
["jmenovatel"] = 100 },
["render"] = "\\frac{13167}{900}",
["typ"] = "cislo" },
["tex"] = "14\\frac{63}{100}",
["tex_float"] = "14{,}63",
["x"] = 14,
["y"] = 63,
["z"] = 100 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 6 - (-15)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{9} + 6 - (-15))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{10} \\cdot (2\\frac{2}{9} + 6 - (-15))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-20}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{10} \\cdot (2\\frac{2}{9} + 6 - (-15)) \\cdot \\frac{-9}{-20}",
["typ"] = "krat" } }
seed: 5jm59otx4W3mQRxrGEbx_0.99, bodu=190, $$\frac{2\frac{1}{5} - (-13)}{(11 \cdot 1\frac{1}{13} - 18) \cdot 1\frac{3}{11}}=\textcolor{white}{-1\frac{1317}{1400}}$$return {
["body"] = 190,
["id"] = "F2sA8P_0503_1550",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -1.9407142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2717,
["jmenovatel"] = 1400 },
["render"] = "\\frac{10868}{-5600}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1317}{1400}",
["x"] = -1,
["y"] = 1317,
["z"] = 1400 },
["seed"] = "5jm59otx4W3mQRxrGEbx_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 13 },
["render"] = "1\\frac{1}{13}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{1}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{1}{13} - 18",
["typ"] = "minus" },
["render"] = "(11 \\cdot 1\\frac{1}{13} - 18)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(11 \\cdot 1\\frac{1}{13} - 18) \\cdot 1\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{5} - (-13)}{(11 \\cdot 1\\frac{1}{13} - 18) \\cdot 1\\frac{3}{11}}",
["typ"] = "lomeno" } }
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