- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: WtVraSw9Sa9BwVir5FDI_0, bodu=10, $$(\frac{4}{8 \cdot 5})^2=\textcolor{white}{0{,}01}$$return {
["body"] = 10,
["id"] = "a9kRap_1014_0646",
["obtiznost"] = 0.0404,
["reseni"] = {
["float"] = 0.01,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 100 },
["render"] = "\\frac{1}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{100}",
["tex_float"] = "0{,}01",
["y"] = 1,
["z"] = 100 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{4}{8 \\cdot 5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{8 \\cdot 5})^2",
["typ"] = "mocnina" } }
seed: WtVraSw9Sa9BwVir5FDI_0.01, bodu=5, $$10 - 3 + 8 - (7 + 5)=\textcolor{white}{3}$$return {
["body"] = 5,
["id"] = "Pat3YC_1014_0646",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{1}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 3 + 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "(7 + 5)",
["typ"] = "zavorka" },
["render"] = "10 - 3 + 8 - (7 + 5)",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.02, bodu=10, $$\frac{\frac{7}{8}}{3}=\textcolor{white}{\frac{7}{24}}$$return {
["body"] = 10,
["id"] = "bOSH3h_1014_0646",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 0.29166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 24 },
["render"] = "\\frac{7}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{24}",
["y"] = 7,
["z"] = 24 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{8}}{3}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.03, bodu=10, $$\frac{6}{5} \cdot 5=\textcolor{white}{6}$$return {
["body"] = 10,
["id"] = "abHKus_1014_0646",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{5}",
["typ"] = "cislo" },
["tex"] = "6",
["tex_float"] = "6",
["x"] = 6 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5} \\cdot 5",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.04, bodu=20, $$4 - (-8 \cdot (4\frac{2}{6} - 6))=\textcolor{white}{-9\frac{1}{3}}$$return {
["body"] = 20,
["id"] = "ojpSaQ_1014_0646",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -9.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 3 },
["render"] = "\\frac{-28}{3}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{1}{3}",
["x"] = -9,
["y"] = 1,
["z"] = 3 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 6",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} - 6)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (4\\frac{2}{6} - 6)",
["typ"] = "krat" },
["render"] = "4 - (-8 \\cdot (4\\frac{2}{6} - 6))",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.05, bodu=21, $$\frac{7 + 6}{-6 + 3\frac{4}{7}}=\textcolor{white}{-5\frac{6}{17}}$$return {
["body"] = 21,
["id"] = "wphz2j_1014_0646",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -5.3529411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 17 },
["render"] = "\\frac{91}{-17}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{6}{17}",
["x"] = -5,
["y"] = 6,
["z"] = 17 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.05",
["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"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-6 + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{7 + 6}{-6 + 3\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.06, bodu=11, $$\frac{6}{\frac{7 - 4}{-4}}=\textcolor{white}{-8}$$return {
["body"] = 11,
["id"] = "e26sGM_1014_0646",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{-3}",
["typ"] = "cislo" },
["tex"] = "-8",
["x"] = -8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.06",
["zadani"] = {
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 4}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{7 - 4}{-4}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.07, bodu=5, $$(3 - 8) \cdot 8 \cdot 7=\textcolor{white}{-280}$$return {
["body"] = 5,
["id"] = "BvBbmU_1014_0646",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 1 },
["render"] = "\\frac{-280}{1}",
["typ"] = "cislo" },
["tex"] = "-280",
["x"] = -280 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(3 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "(3 - 8) \\cdot 8 \\cdot 7",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.08, bodu=12, $$\frac{-5}{11} \cdot (7 + 10)=\textcolor{white}{-7\frac{8}{11}}$$return {
["body"] = 12,
["id"] = "KKfHKo_1014_0646",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -7.7272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 11 },
["render"] = "\\frac{-85}{11}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{11}",
["x"] = -7,
["y"] = 8,
["z"] = 11 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["render"] = "(7 + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{-5}{11} \\cdot (7 + 10)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.09, bodu=12, $$\frac{7}{6 \cdot (-7 + (-8))}=\textcolor{white}{-\frac{7}{90}}$$return {
["body"] = 12,
["id"] = "3NiU1o_1014_0646",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -0.077777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 90 },
["render"] = "\\frac{7}{-90}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{90}",
["y"] = -7,
["z"] = 90 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 + (-8)",
["typ"] = "plus" },
["render"] = "(-7 + (-8))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (-7 + (-8))",
["typ"] = "krat" },
["render"] = "\\frac{7}{6 \\cdot (-7 + (-8))}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.1, bodu=24, $$\frac{6 + (-5 + 3\frac{5}{8})}{-6 + 5}=\textcolor{white}{-4{,}625}$$return {
["body"] = 24,
["id"] = "pW5YnY_1014_0646",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -4.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 8 },
["render"] = "\\frac{37}{-8}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{5}{8}",
["tex_float"] = "-4{,}625",
["x"] = -4,
["y"] = 5,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-5 + 3\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "6 + (-5 + 3\\frac{5}{8})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 + 5",
["typ"] = "plus" },
["render"] = "\\frac{6 + (-5 + 3\\frac{5}{8})}{-6 + 5}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.11, bodu=13, $$\frac{(9 + 7 - (7 + 7))^3}{5}=\textcolor{white}{1{,}6}$$return {
["body"] = 13,
["id"] = "mdFR75_1014_0646",
["obtiznost"] = 0.1136,
["reseni"] = {
["float"] = 1.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "\\frac{8}{5}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{5}",
["tex_float"] = "1{,}6",
["x"] = 1,
["y"] = 3,
["z"] = 5 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7)",
["typ"] = "zavorka" },
["render"] = "9 + 7 - (7 + 7)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 + 7 - (7 + 7))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(9 + 7 - (7 + 7))^3}{5}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.12, bodu=14, $$(\frac{-9 \cdot 3}{9})^3=\textcolor{white}{-27}$$return {
["body"] = 14,
["id"] = "D0UAGJ_1014_0646",
["obtiznost"] = 0.1312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 1 },
["render"] = "\\frac{-27}{1}",
["typ"] = "cislo" },
["tex"] = "-27",
["x"] = -27 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 3}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-9 \\cdot 3}{9})^3",
["typ"] = "mocnina" } }
seed: WtVraSw9Sa9BwVir5FDI_0.13, bodu=14, $$\frac{11 \cdot 5}{6}=\textcolor{white}{9\frac{1}{6}}$$return {
["body"] = 14,
["id"] = "UuKqbt_1014_0646",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 9.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 6 },
["render"] = "\\frac{55}{6}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{6}",
["x"] = 9,
["y"] = 1,
["z"] = 6 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 5}{6}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.14, bodu=7, $$11 + 12 - (8 - 9)^2=\textcolor{white}{22}$$return {
["body"] = 7,
["id"] = "Tjqlvc_1014_0646",
["obtiznost"] = 0.1408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "\\frac{22}{1}",
["typ"] = "cislo" },
["tex"] = "22",
["x"] = 22 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.14",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 9)^2",
["typ"] = "mocnina" },
["render"] = "11 + 12 - (8 - 9)^2",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.15, bodu=28, $$9 + \frac{1\frac{5}{8}}{7} + 5=\textcolor{white}{14\frac{13}{56}}$$return {
["body"] = 28,
["id"] = "UlgrvM_1014_0646",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 14.232142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 797,
["jmenovatel"] = 56 },
["render"] = "\\frac{797}{56}",
["typ"] = "cislo" },
["tex"] = "14\\frac{13}{56}",
["x"] = 14,
["y"] = 13,
["z"] = 56 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{7}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{1\\frac{5}{8}}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + \\frac{1\\frac{5}{8}}{7} + 5",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.16, bodu=9, $$((9 + 4)^2 - 7) \cdot 12=\textcolor{white}{1944}$$return {
["body"] = 9,
["id"] = "zGJVrZ_1014_0646",
["obtiznost"] = 0.228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1944,
["jmenovatel"] = 1 },
["render"] = "\\frac{1944}{1}",
["typ"] = "cislo" },
["tex"] = "1944",
["tex_float"] = "1944",
["x"] = 1944 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.16",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(9 + 4)^2 - 7",
["typ"] = "minus" },
["render"] = "((9 + 4)^2 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "((9 + 4)^2 - 7) \\cdot 12",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.17, bodu=42, $$\frac{-8}{(\frac{8}{7})^3}=\textcolor{white}{-5\frac{23}{64}}$$return {
["body"] = 42,
["id"] = "q7cXau_1014_0646",
["obtiznost"] = 0.512,
["reseni"] = {
["float"] = -5.359375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 64 },
["render"] = "\\frac{-2744}{512}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{23}{64}",
["x"] = -5,
["y"] = 23,
["z"] = 64 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["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"] = 3,
["render"] = "(\\frac{8}{7})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(\\frac{8}{7})^3}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.18, bodu=16, $$6 \cdot \frac{7}{-6}=\textcolor{white}{-7}$$return {
["body"] = 16,
["id"] = "jNRqlz_1014_0646",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-42}{6}",
["typ"] = "cislo" },
["tex"] = "-7",
["tex_float"] = "-7",
["x"] = -7 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.18",
["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"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{7}{-6}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.19, bodu=8, $$10 \cdot -4 - 8 + 10=\textcolor{white}{-38}$$return {
["body"] = 8,
["id"] = "NGSeEI_1014_0646",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 1 },
["render"] = "\\frac{-38}{1}",
["typ"] = "cislo" },
["tex"] = "-38",
["x"] = -38 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -4 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -4 - 8 + 10",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.2, bodu=41, $$\frac{9 + 9 + (\frac{1\frac{1}{3}}{10})^2}{-9}=\textcolor{white}{-2\frac{4}{2025}}$$return {
["body"] = 41,
["id"] = "6F56Kd_1014_0646",
["obtiznost"] = 0.4916,
["reseni"] = {
["float"] = -2.001975308642,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4054,
["jmenovatel"] = 2025 },
["render"] = "\\frac{4054}{-2025}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{4}{2025}",
["x"] = -2,
["y"] = 4,
["z"] = 2025 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{3}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{1}{3}}{10})^2",
["typ"] = "mocnina" },
["render"] = "9 + 9 + (\\frac{1\\frac{1}{3}}{10})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 9 + (\\frac{1\\frac{1}{3}}{10})^2}{-9}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.21, bodu=18, $$-6 + \frac{10 \cdot 8}{-13}=\textcolor{white}{-12\frac{2}{13}}$$return {
["body"] = 18,
["id"] = "IVWlcg_1014_0646",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -12.153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = -158,
["jmenovatel"] = 13 },
["render"] = "\\frac{-158}{13}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2}{13}",
["x"] = -12,
["y"] = 2,
["z"] = 13 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["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"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 8}{-13}",
["typ"] = "lomeno" },
["render"] = "-6 + \\frac{10 \\cdot 8}{-13}",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.22, bodu=19, $$\frac{4 + (-10 \cdot (7 + 6))}{11}=\textcolor{white}{-11\frac{5}{11}}$$return {
["body"] = 19,
["id"] = "ruq9GX_1014_0646",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = -11.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 11 },
["render"] = "\\frac{-126}{11}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{5}{11}",
["x"] = -11,
["y"] = 5,
["z"] = 11 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["render"] = "(7 + 6)",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (7 + 6)",
["typ"] = "krat" },
["render"] = "4 + (-10 \\cdot (7 + 6))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4 + (-10 \\cdot (7 + 6))}{11}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.23, bodu=9, $$7 \cdot (8 - (-9)) \cdot 6=\textcolor{white}{714}$$return {
["body"] = 9,
["id"] = "mEakYW_1014_0646",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 714,
["jmenovatel"] = 1 },
["render"] = "\\frac{714}{1}",
["typ"] = "cislo" },
["tex"] = "714",
["tex_float"] = "714",
["x"] = 714 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 - (-9)",
["typ"] = "minus" },
["render"] = "(8 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(8 - (-9)) \\cdot 6",
["typ"] = "krat" },
["render"] = "7 \\cdot (8 - (-9)) \\cdot 6",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.24, bodu=24, $$(\frac{11}{-5 \cdot -11})^3 \cdot 6=\textcolor{white}{0{,}048}$$return {
["body"] = 24,
["id"] = "lyrzsx_1014_0646",
["obtiznost"] = 0.2904,
["reseni"] = {
["float"] = 0.048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 125 },
["render"] = "\\frac{6}{125}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{125}",
["tex_float"] = "0{,}048",
["y"] = 6,
["z"] = 125 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{11}{-5 \\cdot -11}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{11}{-5 \\cdot -11})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{-5 \\cdot -11})^3 \\cdot 6",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.25, bodu=21, $$-12 + \frac{11}{\frac{8}{-11}}=\textcolor{white}{-27{,}125}$$return {
["body"] = 21,
["id"] = "uSCUqp_1014_0646",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -27.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -217,
["jmenovatel"] = 8 },
["render"] = "\\frac{-217}{8}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{1}{8}",
["tex_float"] = "-27{,}125",
["x"] = -27,
["y"] = 1,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["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"] = "\\frac{11}{\\frac{8}{-11}}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{11}{\\frac{8}{-11}}",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.26, bodu=21, $$\frac{3 \cdot 11}{9 + 8}=\textcolor{white}{1\frac{16}{17}}$$return {
["body"] = 21,
["id"] = "VNdnMt_1014_0646",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 1.9411764705882,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 17 },
["render"] = "\\frac{33}{17}",
["typ"] = "cislo" },
["tex"] = "1\\frac{16}{17}",
["x"] = 1,
["y"] = 16,
["z"] = 17 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "\\frac{3 \\cdot 11}{9 + 8}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.27, bodu=11, $$5 \cdot (-10 \cdot 10 + 8)=\textcolor{white}{-460}$$return {
["body"] = 11,
["id"] = "8Dgw87_1014_0646",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -460,
["jmenovatel"] = 1 },
["render"] = "\\frac{-460}{1}",
["typ"] = "cislo" },
["tex"] = "-460",
["tex_float"] = "-460",
["x"] = -460 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.27",
["zadani"] = {
["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 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 10 + 8",
["typ"] = "plus" },
["render"] = "(-10 \\cdot 10 + 8)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-10 \\cdot 10 + 8)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.28, bodu=39, $$-8 \cdot (12 + 3\frac{5}{7}) \cdot (7 + 8)=\textcolor{white}{-1885\frac{5}{7}}$$return {
["body"] = 39,
["id"] = "ksvCXj_1014_0646",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -1885.7142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13200,
["jmenovatel"] = 7 },
["render"] = "\\frac{-13200}{7}",
["typ"] = "cislo" },
["tex"] = "-1885\\frac{5}{7}",
["x"] = -1885,
["y"] = 5,
["z"] = 7 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(12 + 3\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["render"] = "(12 + 3\\frac{5}{7}) \\cdot (7 + 8)",
["typ"] = "krat" },
["render"] = "-8 \\cdot (12 + 3\\frac{5}{7}) \\cdot (7 + 8)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.29, bodu=40, $$7 \cdot (12 - 4\frac{3}{8}) - 7=\textcolor{white}{46{,}375}$$return {
["body"] = 40,
["id"] = "zfgWeL_1014_0646",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 46.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 371,
["jmenovatel"] = 8 },
["render"] = "\\frac{371}{8}",
["typ"] = "cislo" },
["tex"] = "46\\frac{3}{8}",
["tex_float"] = "46{,}375",
["x"] = 46,
["y"] = 3,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(12 - 4\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (12 - 4\\frac{3}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot (12 - 4\\frac{3}{8}) - 7",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.3, bodu=41, $$\frac{7 \cdot 5}{1\frac{5}{11} \cdot -8}=\textcolor{white}{-3\frac{1}{128}}$$return {
["body"] = 41,
["id"] = "yV5DEx_1014_0646",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -3.0078125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -385,
["jmenovatel"] = 128 },
["render"] = "\\frac{385}{-128}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{128}",
["x"] = -3,
["y"] = 1,
["z"] = 128 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{7 \\cdot 5}{1\\frac{5}{11} \\cdot -8}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.31, bodu=26, $$\frac{(8 - 6)^4 - 5}{-8}=\textcolor{white}{-1{,}375}$$return {
["body"] = 26,
["id"] = "zOSFVC_1014_0646",
["obtiznost"] = 0.3168,
["reseni"] = {
["float"] = -1.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 8 },
["render"] = "\\frac{11}{-8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{8}",
["tex_float"] = "-1{,}375",
["x"] = -1,
["y"] = 3,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["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"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(8 - 6)^4 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - 6)^4 - 5}{-8}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.32, bodu=29, $$(\frac{-6}{-9})^4 - (-7 - (-9))=\textcolor{white}{-1\frac{65}{81}}$$return {
["body"] = 29,
["id"] = "KpVXdQ_1014_0646",
["obtiznost"] = 0.3588,
["reseni"] = {
["float"] = -1.8024691358025,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 81 },
["render"] = "\\frac{-146}{81}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{65}{81}",
["x"] = -1,
["y"] = 65,
["z"] = 81 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.32",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{-9})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-7 - (-9)",
["typ"] = "minus" },
["render"] = "(-7 - (-9))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-6}{-9})^4 - (-7 - (-9))",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.33, bodu=66, $$\frac{\frac{10}{9} + 4\frac{1}{6}}{4\frac{4}{9}}=\textcolor{white}{1\frac{3}{16}}$$return {
["body"] = 66,
["id"] = "ZWCo9Y_1014_0646",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 1.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 16 },
["render"] = "\\frac{855}{720}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{16}",
["x"] = 1,
["y"] = 3,
["z"] = 16 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9} + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{9} + 4\\frac{1}{6}}{4\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.34, bodu=67, $$1\frac{4}{8} - (-7 + 6 + 1\frac{3}{8} - (-6))=\textcolor{white}{-4{,}875}$$return {
["body"] = 67,
["id"] = "qlII0N_1014_0646",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -4.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 8 },
["render"] = "\\frac{-78}{16}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{7}{8}",
["tex_float"] = "-4{,}875",
["x"] = -4,
["y"] = 7,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-7 + 6 + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-7 + 6 + 1\\frac{3}{8} - (-6)",
["typ"] = "minus" },
["render"] = "(-7 + 6 + 1\\frac{3}{8} - (-6))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{8} - (-7 + 6 + 1\\frac{3}{8} - (-6))",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.35, bodu=51, $$-5 + 13 - 6 + (\frac{-2}{-10})^4=\textcolor{white}{2\frac{1}{625}}$$return {
["body"] = 51,
["id"] = "LSedFq_1014_0646",
["obtiznost"] = 0.6004,
["reseni"] = {
["float"] = 2.0016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1251,
["jmenovatel"] = 625 },
["render"] = "\\frac{1251}{625}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{625}",
["x"] = 2,
["y"] = 1,
["z"] = 625 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 - 6",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-2}{-10})^4",
["typ"] = "mocnina" },
["render"] = "13 - 6 + (\\frac{-2}{-10})^4",
["typ"] = "plus" },
["render"] = "-5 + 13 - 6 + (\\frac{-2}{-10})^4",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.36, bodu=69, $$4\frac{4}{6} \cdot -15 \cdot 9 \cdot 1\frac{5}{10}=\textcolor{white}{-945}$$return {
["body"] = 69,
["id"] = "tKwZ3k_1014_0646",
["obtiznost"] = 0.76,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -945,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1890}{2}",
["typ"] = "cislo" },
["tex"] = "-945",
["tex_float"] = "-945",
["x"] = -945 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} \\cdot -15 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} \\cdot -15 \\cdot 9 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.37, bodu=30, $$\frac{-10}{-2 - 13 \cdot 8}=\textcolor{white}{\frac{5}{53}}$$return {
["body"] = 30,
["id"] = "FhWT5g_1014_0646",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.094339622641509,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 53 },
["render"] = "\\frac{-10}{-106}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{53}",
["y"] = 5,
["z"] = 53 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot 8",
["typ"] = "krat" },
["render"] = "-2 - 13 \\cdot 8",
["typ"] = "minus" },
["render"] = "\\frac{-10}{-2 - 13 \\cdot 8}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.38, bodu=15, $$10 \cdot -9 + 10 + 14 + (-6)=\textcolor{white}{-72}$$return {
["body"] = 15,
["id"] = "KoS8Fg_1014_0646",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 1 },
["render"] = "\\frac{-72}{1}",
["typ"] = "cislo" },
["tex"] = "-72",
["x"] = -72 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "14 + (-6)",
["typ"] = "plus" },
["render"] = "10 + 14 + (-6)",
["typ"] = "plus" },
["render"] = "10 \\cdot -9 + 10 + 14 + (-6)",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.39, bodu=32, $$\frac{(\frac{12}{6})^3}{10 + 9}=\textcolor{white}{\frac{8}{19}}$$return {
["body"] = 32,
["id"] = "aJKWDA_1014_0646",
["obtiznost"] = 0.3936,
["reseni"] = {
["float"] = 0.42105263157895,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 19 },
["render"] = "\\frac{8}{19}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{19}",
["y"] = 8,
["z"] = 19 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "\\frac{(\\frac{12}{6})^3}{10 + 9}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.4, bodu=100, $$4\frac{1}{6} - (1\frac{3}{9} - 4) - (15 + 6) - 3\frac{5}{10}=\textcolor{white}{-17\frac{2}{3}}$$return {
["body"] = 100,
["id"] = "lgjqhx_1014_0646",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -17.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 3 },
["render"] = "\\frac{-212}{12}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{2}{3}",
["x"] = -17,
["y"] = 2,
["z"] = 3 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 4",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{9} - 4)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{6} - (1\\frac{3}{9} - 4)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "15 + 6",
["typ"] = "plus" },
["render"] = "(15 + 6)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{6} - (1\\frac{3}{9} - 4) - (15 + 6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - (1\\frac{3}{9} - 4) - (15 + 6) - 3\\frac{5}{10}",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.41, bodu=46, $$-9 + 16 + (-13 \cdot (\frac{12}{-10})^3)=\textcolor{white}{29{,}464}$$return {
["body"] = 46,
["id"] = "KIKNdR_1014_0646",
["obtiznost"] = 0.5464,
["reseni"] = {
["float"] = 29.464,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3683,
["jmenovatel"] = 125 },
["render"] = "\\frac{3683}{125}",
["typ"] = "cislo" },
["tex"] = "29\\frac{58}{125}",
["tex_float"] = "29{,}464",
["x"] = 29,
["y"] = 58,
["z"] = 125 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-10})^3",
["typ"] = "mocnina" },
["render"] = "-13 \\cdot (\\frac{12}{-10})^3",
["typ"] = "krat" },
["render"] = "-9 + 16 + (-13 \\cdot (\\frac{12}{-10})^3)",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.42, bodu=53, $$\frac{10}{11 \cdot 2\frac{2}{6} \cdot 11}=\textcolor{white}{\frac{30}{847}}$$return {
["body"] = 53,
["id"] = "xyvLjZ_1014_0646",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 0.035419126328217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 847 },
["render"] = "\\frac{30}{847}",
["typ"] = "cislo" },
["tex"] = "\\frac{30}{847}",
["y"] = 30,
["z"] = 847 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["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"] = "11 \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{2}{6} \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{10}{11 \\cdot 2\\frac{2}{6} \\cdot 11}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.43, bodu=35, $$(11 + \frac{\frac{-13}{-6}}{14}) \cdot -9=\textcolor{white}{-100\frac{11}{28}}$$return {
["body"] = 35,
["id"] = "yI9hyW_1014_0646",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -100.39285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2811,
["jmenovatel"] = 28 },
["render"] = "\\frac{-8433}{84}",
["typ"] = "cislo" },
["tex"] = "-100\\frac{11}{28}",
["x"] = -100,
["y"] = 11,
["z"] = 28 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{-6}}{14}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{\\frac{-13}{-6}}{14}",
["typ"] = "plus" },
["render"] = "(11 + \\frac{\\frac{-13}{-6}}{14})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(11 + \\frac{\\frac{-13}{-6}}{14}) \\cdot -9",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.44, bodu=34, $$(7 - 15)^3 \cdot (7 - 4 - (6 + 10)^2)=\textcolor{white}{129536}$$return {
["body"] = 34,
["id"] = "SLeysc_1014_0646",
["obtiznost"] = 0.748,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 129536,
["jmenovatel"] = 1 },
["render"] = "\\frac{129536}{1}",
["typ"] = "cislo" },
["tex"] = "129536",
["tex_float"] = "129536",
["x"] = 129536 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "7 - 15",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 10)^2",
["typ"] = "mocnina" },
["render"] = "7 - 4 - (6 + 10)^2",
["typ"] = "minus" },
["render"] = "(7 - 4 - (6 + 10)^2)",
["typ"] = "zavorka" },
["render"] = "(7 - 15)^3 \\cdot (7 - 4 - (6 + 10)^2)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.45, bodu=57, $$\frac{10}{15 + 4\frac{4}{9} \cdot -11 + 12}=\textcolor{white}{-\frac{90}{197}}$$return {
["body"] = 57,
["id"] = "0v2cDo_1014_0646",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -0.45685279187817,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 197 },
["render"] = "\\frac{90}{-197}",
["typ"] = "cislo" },
["tex"] = "-\\frac{90}{197}",
["y"] = -90,
["z"] = 197 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot -11",
["typ"] = "krat" },
["render"] = "15 + 4\\frac{4}{9} \\cdot -11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{4}{9} \\cdot -11 + 12",
["typ"] = "plus" },
["render"] = "\\frac{10}{15 + 4\\frac{4}{9} \\cdot -11 + 12}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.46, bodu=41, $$\frac{\frac{-3}{-10}}{(\frac{12}{9})^3}=\textcolor{white}{\frac{81}{640}}$$return {
["body"] = 41,
["id"] = "EJZBtK_1014_0646",
["obtiznost"] = 0.4964,
["reseni"] = {
["float"] = 0.1265625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 640 },
["render"] = "\\frac{81}{640}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{640}",
["y"] = 81,
["z"] = 640 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{9})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-3}{-10}}{(\\frac{12}{9})^3}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.47, bodu=59, $$\frac{-13}{-5 - (3\frac{5}{10} - (-6) + 9)}=\textcolor{white}{\frac{26}{47}}$$return {
["body"] = 59,
["id"] = "UBd201_1014_0646",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 0.5531914893617,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 47 },
["render"] = "\\frac{-26}{-47}",
["typ"] = "cislo" },
["tex"] = "\\frac{26}{47}",
["y"] = 26,
["z"] = 47 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-6) + 9",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{10} - (-6) + 9)",
["typ"] = "zavorka" },
["render"] = "-5 - (3\\frac{5}{10} - (-6) + 9)",
["typ"] = "minus" },
["render"] = "\\frac{-13}{-5 - (3\\frac{5}{10} - (-6) + 9)}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.48, bodu=60, $$11 \cdot (-4 + \frac{\frac{-11}{17}}{2\frac{4}{7}})=\textcolor{white}{-46\frac{235}{306}}$$return {
["body"] = 60,
["id"] = "6EgEY5_1014_0646",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -46.767973856209,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14311,
["jmenovatel"] = 306 },
["render"] = "\\frac{-14311}{306}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{235}{306}",
["x"] = -46,
["y"] = 235,
["z"] = 306 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{17}}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "-4 + \\frac{\\frac{-11}{17}}{2\\frac{4}{7}}",
["typ"] = "plus" },
["render"] = "(-4 + \\frac{\\frac{-11}{17}}{2\\frac{4}{7}})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-4 + \\frac{\\frac{-11}{17}}{2\\frac{4}{7}})",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.49, bodu=94, $$\frac{-7}{2\frac{5}{9} \cdot 10} \cdot (16 + 10)^2=\textcolor{white}{-185\frac{19}{115}}$$return {
["body"] = 94,
["id"] = "bWrGlx_1014_0646",
["obtiznost"] = 0.9608,
["reseni"] = {
["float"] = -185.1652173913,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21294,
["jmenovatel"] = 115 },
["render"] = "\\frac{-42588}{230}",
["typ"] = "cislo" },
["tex"] = "-185\\frac{19}{115}",
["x"] = -185,
["y"] = 19,
["z"] = 115 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{-7}{2\\frac{5}{9} \\cdot 10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(16 + 10)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{2\\frac{5}{9} \\cdot 10} \\cdot (16 + 10)^2",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.5, bodu=41, $$-10 \cdot 11 - (\frac{(17 - 17)^2}{12})^3=\textcolor{white}{-110}$$return {
["body"] = 41,
["id"] = "PKFmbd_1014_0646",
["obtiznost"] = 0.5008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -110,
["jmenovatel"] = 1 },
["render"] = "\\frac{-110}{1}",
["typ"] = "cislo" },
["tex"] = "-110",
["tex_float"] = "-110",
["x"] = -110 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "17 - 17",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(17 - 17)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(17 - 17)^2}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(17 - 17)^2}{12})^3",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot 11 - (\\frac{(17 - 17)^2}{12})^3",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.51, bodu=63, $$\frac{8 + 1\frac{5}{11}}{-5 - (-9 - 15)}=\textcolor{white}{\frac{104}{209}}$$return {
["body"] = 63,
["id"] = "yir1Y4_1014_0646",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 0.49760765550239,
["objekt"] = {
["hodnota"] = {
["citatel"] = 104,
["jmenovatel"] = 209 },
["render"] = "\\frac{104}{209}",
["typ"] = "cislo" },
["tex"] = "\\frac{104}{209}",
["y"] = 104,
["z"] = 209 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-9 - 15)",
["typ"] = "zavorka" },
["render"] = "-5 - (-9 - 15)",
["typ"] = "minus" },
["render"] = "\\frac{8 + 1\\frac{5}{11}}{-5 - (-9 - 15)}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.52, bodu=43, $$\frac{-7}{15} - 9 - (-3 - (-16))=\textcolor{white}{-22\frac{7}{15}}$$return {
["body"] = 43,
["id"] = "bvXp3m_1014_0646",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -22.466666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -337,
["jmenovatel"] = 15 },
["render"] = "\\frac{-337}{15}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{7}{15}",
["x"] = -22,
["y"] = 7,
["z"] = 15 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{15} - 9",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-3 - (-16)",
["typ"] = "minus" },
["render"] = "(-3 - (-16))",
["typ"] = "zavorka" },
["render"] = "\\frac{-7}{15} - 9 - (-3 - (-16))",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.53, bodu=67, $$\frac{-15 \cdot 13}{(8 + 1\frac{1}{5} - 9)^2}=\textcolor{white}{-4875}$$return {
["body"] = 67,
["id"] = "GKgO0o_1014_0646",
["obtiznost"] = 0.7404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4875,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4875}{1}",
["typ"] = "cislo" },
["tex"] = "-4875",
["tex_float"] = "-4875",
["x"] = -4875 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{1}{5} - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 + 1\\frac{1}{5} - 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-15 \\cdot 13}{(8 + 1\\frac{1}{5} - 9)^2}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.54, bodu=68, $$\frac{12 - ((-15 + 12)^3 + (-8))}{2 - 2\frac{4}{9}}=\textcolor{white}{-105{,}75}$$return {
["body"] = 68,
["id"] = "5pUxME_1014_0646",
["obtiznost"] = 0.7512,
["reseni"] = {
["float"] = -105.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -423,
["jmenovatel"] = 4 },
["render"] = "\\frac{423}{-4}",
["typ"] = "cislo" },
["tex"] = "-105\\frac{3}{4}",
["tex_float"] = "-105{,}75",
["x"] = -105,
["y"] = 3,
["z"] = 4 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-15 + 12)^3 + (-8)",
["typ"] = "plus" },
["render"] = "((-15 + 12)^3 + (-8))",
["typ"] = "zavorka" },
["render"] = "12 - ((-15 + 12)^3 + (-8))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2 - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "\\frac{12 - ((-15 + 12)^3 + (-8))}{2 - 2\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.55, bodu=120, $$-10 \cdot 3\frac{5}{9} \cdot (-11 + 1\frac{3}{8} - 3\frac{2}{6})=\textcolor{white}{460\frac{20}{27}}$$return {
["body"] = 120,
["id"] = "k5YHi3_1014_0646",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 460.74074074074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12440,
["jmenovatel"] = 27 },
["render"] = "\\frac{99520}{216}",
["typ"] = "cislo" },
["tex"] = "460\\frac{20}{27}",
["x"] = 460,
["y"] = 20,
["z"] = 27 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-11 + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-11 + 1\\frac{3}{8} - 3\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-11 + 1\\frac{3}{8} - 3\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot 3\\frac{5}{9} \\cdot (-11 + 1\\frac{3}{8} - 3\\frac{2}{6})",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.56, bodu=69, $$8 \cdot \frac{\frac{7}{8} - 4\frac{4}{9}}{8}=\textcolor{white}{-3\frac{41}{72}}$$return {
["body"] = 69,
["id"] = "L0AcnV_1014_0646",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -3.5694444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -257,
["jmenovatel"] = 72 },
["render"] = "\\frac{-2056}{576}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{41}{72}",
["x"] = -3,
["y"] = 41,
["z"] = 72 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8} - 4\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{8} - 4\\frac{4}{9}}{8}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{\\frac{7}{8} - 4\\frac{4}{9}}{8}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.57, bodu=95, $$(\frac{-14 + (-6)}{1\frac{1}{5}} + 2\frac{1}{9}) \cdot -13=\textcolor{white}{189\frac{2}{9}}$$return {
["body"] = 95,
["id"] = "Rwxe3f_1014_0646",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 189.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1703,
["jmenovatel"] = 9 },
["render"] = "\\frac{1703}{9}",
["typ"] = "cislo" },
["tex"] = "189\\frac{2}{9}",
["x"] = 189,
["y"] = 2,
["z"] = 9 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.57",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-14 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 + (-6)}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 + (-6)}{1\\frac{1}{5}} + 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{-14 + (-6)}{1\\frac{1}{5}} + 2\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(\\frac{-14 + (-6)}{1\\frac{1}{5}} + 2\\frac{1}{9}) \\cdot -13",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.58, bodu=125, $$\frac{-5 - 7}{4\frac{2}{7} + 3\frac{1}{5} + 14 + 2\frac{4}{7}}=\textcolor{white}{-\frac{210}{421}}$$return {
["body"] = 125,
["id"] = "qX5f4B_1014_0646",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -0.49881235154394,
["objekt"] = {
["hodnota"] = {
["citatel"] = -210,
["jmenovatel"] = 421 },
["render"] = "\\frac{-420}{842}",
["typ"] = "cislo" },
["tex"] = "-\\frac{210}{421}",
["y"] = -210,
["z"] = 421 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{7} + 3\\frac{1}{5} + 14 + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-5 - 7}{4\\frac{2}{7} + 3\\frac{1}{5} + 14 + 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.59, bodu=50, $$\frac{-6 - 14 + 8 \cdot -2}{-13}=\textcolor{white}{2\frac{10}{13}}$$return {
["body"] = 50,
["id"] = "4TptLO_1014_0646",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 2.7692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 13 },
["render"] = "\\frac{-36}{-13}",
["typ"] = "cislo" },
["tex"] = "2\\frac{10}{13}",
["x"] = 2,
["y"] = 10,
["z"] = 13 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-6 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "8 \\cdot -2",
["typ"] = "krat" },
["render"] = "-6 - 14 + 8 \\cdot -2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 14 + 8 \\cdot -2}{-13}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.6, bodu=128, $$(\frac{4\frac{2}{6}}{1\frac{2}{4}} - (-7)) \cdot (-8 + 1\frac{3}{8} - (-12))=\textcolor{white}{53\frac{11}{72}}$$return {
["body"] = 128,
["id"] = "YGJyPn_1014_0646",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 53.152777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3827,
["jmenovatel"] = 72 },
["render"] = "\\frac{3827}{72}",
["typ"] = "cislo" },
["tex"] = "53\\frac{11}{72}",
["x"] = 53,
["y"] = 11,
["z"] = 72 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{1\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{1\\frac{2}{4}} - (-7)",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{2}{6}}{1\\frac{2}{4}} - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-12)",
["typ"] = "minus" },
["render"] = "-8 + 1\\frac{3}{8} - (-12)",
["typ"] = "plus" },
["render"] = "(-8 + 1\\frac{3}{8} - (-12))",
["typ"] = "zavorka" },
["render"] = "(\\frac{4\\frac{2}{6}}{1\\frac{2}{4}} - (-7)) \\cdot (-8 + 1\\frac{3}{8} - (-12))",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.61, bodu=75, $$\frac{11}{-14 - 10} - 2\frac{4}{10} \cdot 9=\textcolor{white}{-22\frac{7}{120}}$$return {
["body"] = 75,
["id"] = "2gDHpH_1014_0646",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -22.058333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2647,
["jmenovatel"] = 120 },
["render"] = "\\frac{-2647}{120}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{7}{120}",
["x"] = -22,
["y"] = 7,
["z"] = 120 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 - 10",
["typ"] = "minus" },
["render"] = "\\frac{11}{-14 - 10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{11}{-14 - 10} - 2\\frac{4}{10} \\cdot 9",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.62, bodu=110, $$\frac{2\frac{5}{6}}{6 \cdot (4\frac{4}{9} - (-10 - (-18 - (-6))^2))}=\textcolor{white}{\frac{17}{5704}}$$return {
["body"] = 110,
["id"] = "IBovFV_1014_0646",
["obtiznost"] = 1.078,
["reseni"] = {
["float"] = 0.0029803646563815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5704 },
["render"] = "\\frac{51}{17112}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{5704}",
["y"] = 17,
["z"] = 5704 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-18 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-18 - (-6))^2",
["typ"] = "mocnina" },
["render"] = "-10 - (-18 - (-6))^2",
["typ"] = "minus" },
["render"] = "(-10 - (-18 - (-6))^2)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{9} - (-10 - (-18 - (-6))^2)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{9} - (-10 - (-18 - (-6))^2))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (4\\frac{4}{9} - (-10 - (-18 - (-6))^2))",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{5}{6}}{6 \\cdot (4\\frac{4}{9} - (-10 - (-18 - (-6))^2))}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.63, bodu=108, $$\frac{3\frac{5}{9} \cdot 1\frac{5}{8}}{-18 \cdot (\frac{-15}{5})^4}=\textcolor{white}{-\frac{26}{6561}}$$return {
["body"] = 108,
["id"] = "5UF6Gt_1014_0646",
["obtiznost"] = 1.0628,
["reseni"] = {
["float"] = -0.0039628105471727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 6561 },
["render"] = "\\frac{52}{-13122}",
["typ"] = "cislo" },
["tex"] = "-\\frac{26}{6561}",
["y"] = -26,
["z"] = 6561 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-15}{5})^4",
["typ"] = "mocnina" },
["render"] = "-18 \\cdot (\\frac{-15}{5})^4",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{9} \\cdot 1\\frac{5}{8}}{-18 \\cdot (\\frac{-15}{5})^4}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.64, bodu=79, $$(-12 + 14)^2 - ((\frac{8}{-8})^3 - (7 - 3\frac{3}{8}))=\textcolor{white}{8{,}625}$$return {
["body"] = 79,
["id"] = "UZmbaQ_1014_0646",
["obtiznost"] = 0.8428,
["reseni"] = {
["float"] = 8.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 8 },
["render"] = "\\frac{69}{8}",
["typ"] = "cislo" },
["tex"] = "8\\frac{5}{8}",
["tex_float"] = "8{,}625",
["x"] = 8,
["y"] = 5,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-12 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{-8})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(7 - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{-8})^3 - (7 - 3\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "((\\frac{8}{-8})^3 - (7 - 3\\frac{3}{8}))",
["typ"] = "zavorka" },
["render"] = "(-12 + 14)^2 - ((\\frac{8}{-8})^3 - (7 - 3\\frac{3}{8}))",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.65, bodu=106, $$\frac{9 \cdot 3\frac{4}{9}}{-8} + 3\frac{2}{8} - 11 + 17=\textcolor{white}{5{,}375}$$return {
["body"] = 106,
["id"] = "C4ScOo_1014_0646",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 5.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 8 },
["render"] = "\\frac{172}{32}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{8}",
["tex_float"] = "5{,}375",
["x"] = 5,
["y"] = 3,
["z"] = 8 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 3\\frac{4}{9}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 11 + 17",
["typ"] = "plus" },
["render"] = "\\frac{9 \\cdot 3\\frac{4}{9}}{-8} + 3\\frac{2}{8} - 11 + 17",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.66, bodu=108, $$\frac{13 + 4}{\frac{\frac{16}{1\frac{1}{8}}}{4\frac{5}{13} + (-4)}}=\textcolor{white}{\frac{765}{1664}}$$return {
["body"] = 108,
["id"] = "czNVNX_1014_0646",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 0.45973557692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = 765,
["jmenovatel"] = 1664 },
["render"] = "\\frac{765}{1664}",
["typ"] = "cislo" },
["tex"] = "\\frac{765}{1664}",
["y"] = 765,
["z"] = 1664 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + (-4)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{16}{1\\frac{1}{8}}}{4\\frac{5}{13} + (-4)}",
["typ"] = "lomeno" },
["render"] = "\\frac{13 + 4}{\\frac{\\frac{16}{1\\frac{1}{8}}}{4\\frac{5}{13} + (-4)}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.67, bodu=83, $$(-14 - (-15))^2 \cdot (15 \cdot 12 + 1\frac{4}{7} + (-16))=\textcolor{white}{165\frac{4}{7}}$$return {
["body"] = 83,
["id"] = "0cVsFO_1014_0646",
["obtiznost"] = 0.8708,
["reseni"] = {
["float"] = 165.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1159,
["jmenovatel"] = 7 },
["render"] = "\\frac{1159}{7}",
["typ"] = "cislo" },
["tex"] = "165\\frac{4}{7}",
["x"] = 165,
["y"] = 4,
["z"] = 7 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.67",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-14 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-14 - (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "15 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} + (-16)",
["typ"] = "plus" },
["render"] = "15 \\cdot 12 + 1\\frac{4}{7} + (-16)",
["typ"] = "plus" },
["render"] = "(15 \\cdot 12 + 1\\frac{4}{7} + (-16))",
["typ"] = "zavorka" },
["render"] = "(-14 - (-15))^2 \\cdot (15 \\cdot 12 + 1\\frac{4}{7} + (-16))",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.68, bodu=141, $$(-15 - (-17))^4 \cdot 4\frac{2}{6} \cdot 11 \cdot (4\frac{5}{12} + 3\frac{1}{3})=\textcolor{white}{5910\frac{2}{3}}$$return {
["body"] = 141,
["id"] = "fkBNwY_1014_0646",
["obtiznost"] = 1.2868,
["reseni"] = {
["float"] = 5910.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17732,
["jmenovatel"] = 3 },
["render"] = "\\frac{70928}{12}",
["typ"] = "cislo" },
["tex"] = "5910\\frac{2}{3}",
["x"] = 5910,
["y"] = 2,
["z"] = 3 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-15 - (-17)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-15 - (-17))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 11",
["typ"] = "krat" },
["render"] = "(-15 - (-17))^4 \\cdot 4\\frac{2}{6} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} + 3\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{12} + 3\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "(-15 - (-17))^4 \\cdot 4\\frac{2}{6} \\cdot 11 \\cdot (4\\frac{5}{12} + 3\\frac{1}{3})",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.69, bodu=85, $$-8 - (-16 + 4\frac{1}{3} \cdot -20) + \frac{-8}{-17}=\textcolor{white}{95\frac{7}{51}}$$return {
["body"] = 85,
["id"] = "ML0zYH_1014_0646",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 95.137254901961,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4852,
["jmenovatel"] = 51 },
["render"] = "\\frac{4852}{51}",
["typ"] = "cislo" },
["tex"] = "95\\frac{7}{51}",
["x"] = 95,
["y"] = 7,
["z"] = 51 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot -20",
["typ"] = "krat" },
["render"] = "-16 + 4\\frac{1}{3} \\cdot -20",
["typ"] = "plus" },
["render"] = "(-16 + 4\\frac{1}{3} \\cdot -20)",
["typ"] = "zavorka" },
["render"] = "-8 - (-16 + 4\\frac{1}{3} \\cdot -20)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-17}",
["typ"] = "lomeno" },
["render"] = "-8 - (-16 + 4\\frac{1}{3} \\cdot -20) + \\frac{-8}{-17}",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.7, bodu=113, $$(-16 + (-17 \cdot 1\frac{1}{8} \cdot -11)) \cdot (4\frac{1}{9} + 13)=\textcolor{white}{3325\frac{35}{36}}$$return {
["body"] = 113,
["id"] = "sfcEj4_1014_0646",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 3325.9722222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119735,
["jmenovatel"] = 36 },
["render"] = "\\frac{239470}{72}",
["typ"] = "cislo" },
["tex"] = "3325\\frac{35}{36}",
["x"] = 3325,
["y"] = 35,
["z"] = 36 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot -11",
["typ"] = "krat" },
["render"] = "-17 \\cdot 1\\frac{1}{8} \\cdot -11",
["typ"] = "krat" },
["render"] = "-16 + (-17 \\cdot 1\\frac{1}{8} \\cdot -11)",
["typ"] = "plus" },
["render"] = "(-16 + (-17 \\cdot 1\\frac{1}{8} \\cdot -11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} + 13",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{9} + 13)",
["typ"] = "zavorka" },
["render"] = "(-16 + (-17 \\cdot 1\\frac{1}{8} \\cdot -11)) \\cdot (4\\frac{1}{9} + 13)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.71, bodu=63, $$\frac{-14 \cdot 12}{-9} \cdot (-7 + 10)=\textcolor{white}{56}$$return {
["body"] = 63,
["id"] = "75fLvQ_1014_0646",
["obtiznost"] = 0.71,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 1 },
["render"] = "\\frac{168}{3}",
["typ"] = "cislo" },
["tex"] = "56",
["tex_float"] = "56",
["x"] = 56 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot 12}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 + 10",
["typ"] = "plus" },
["render"] = "(-7 + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{-14 \\cdot 12}{-9} \\cdot (-7 + 10)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.72, bodu=116, $$-6 \cdot 18 \cdot 2\frac{4}{7} + 9 + (-9 - 2\frac{2}{7})=\textcolor{white}{-280}$$return {
["body"] = 116,
["id"] = "Zji0oW_1014_0646",
["obtiznost"] = 1.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1960}{7}",
["typ"] = "cislo" },
["tex"] = "-280",
["tex_float"] = "-280",
["x"] = -280 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 18 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "9 + (-9 - 2\\frac{2}{7})",
["typ"] = "plus" },
["render"] = "-6 \\cdot 18 \\cdot 2\\frac{4}{7} + 9 + (-9 - 2\\frac{2}{7})",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.73, bodu=118, $$-13 - (\frac{5}{-14 \cdot 3\frac{2}{5}} - 1\frac{5}{13})=\textcolor{white}{-11\frac{1579}{3094}}$$return {
["body"] = 118,
["id"] = "8ThmPd_1014_0646",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -11.510342598578,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35613,
["jmenovatel"] = 3094 },
["render"] = "\\frac{-35613}{3094}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1579}{3094}",
["x"] = -11,
["y"] = 1579,
["z"] = 3094 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "\\frac{5}{-14 \\cdot 3\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-14 \\cdot 3\\frac{2}{5}} - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(\\frac{5}{-14 \\cdot 3\\frac{2}{5}} - 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "-13 - (\\frac{5}{-14 \\cdot 3\\frac{2}{5}} - 1\\frac{5}{13})",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.74, bodu=182, $$(1\frac{1}{4} \cdot 12 \cdot 3\frac{1}{6} \cdot (4\frac{4}{8} - 4\frac{4}{8}))^2=\textcolor{white}{0}$$return {
["body"] = 182,
["id"] = "iUO4rW_1014_0646",
["obtiznost"] = 1.5404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.74",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 4\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{8} - 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{6} \\cdot (4\\frac{4}{8} - 4\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "1\\frac{1}{4} \\cdot 12 \\cdot 3\\frac{1}{6} \\cdot (4\\frac{4}{8} - 4\\frac{4}{8})",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{4} \\cdot 12 \\cdot 3\\frac{1}{6} \\cdot (4\\frac{4}{8} - 4\\frac{4}{8}))^2",
["typ"] = "mocnina" } }
seed: WtVraSw9Sa9BwVir5FDI_0.75, bodu=120, $$\frac{4\frac{1}{8}}{\frac{1\frac{3}{7} \cdot -20 + 11 - (-15)}{11}}=\textcolor{white}{-17\frac{31}{48}}$$return {
["body"] = 120,
["id"] = "bmxumT_1014_0646",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -17.645833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -847,
["jmenovatel"] = 48 },
["render"] = "\\frac{2541}{-144}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{31}{48}",
["x"] = -17,
["y"] = 31,
["z"] = 48 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 - (-15)",
["typ"] = "minus" },
["render"] = "1\\frac{3}{7} \\cdot -20 + 11 - (-15)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7} \\cdot -20 + 11 - (-15)}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{8}}{\\frac{1\\frac{3}{7} \\cdot -20 + 11 - (-15)}{11}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.76, bodu=94, $$-11 \cdot 17 \cdot (10 + (-11)) \cdot (18 + 3\frac{2}{7})=\textcolor{white}{3980\frac{3}{7}}$$return {
["body"] = 94,
["id"] = "dmWhCD_1014_0646",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 3980.4285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27863,
["jmenovatel"] = 7 },
["render"] = "\\frac{27863}{7}",
["typ"] = "cislo" },
["tex"] = "3980\\frac{3}{7}",
["x"] = 3980,
["y"] = 3,
["z"] = 7 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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"] = "plus" },
["render"] = "(10 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(18 + 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(10 + (-11)) \\cdot (18 + 3\\frac{2}{7})",
["typ"] = "krat" },
["render"] = "17 \\cdot (10 + (-11)) \\cdot (18 + 3\\frac{2}{7})",
["typ"] = "krat" },
["render"] = "-11 \\cdot 17 \\cdot (10 + (-11)) \\cdot (18 + 3\\frac{2}{7})",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.77, bodu=233, $$(-19 + 4\frac{5}{10})^2 \cdot (-18 - (-10)) \cdot (4\frac{2}{5} + (-10))^2=\textcolor{white}{-52747{,}52}$$return {
["body"] = 233,
["id"] = "gTE3cm_1014_0646",
["obtiznost"] = 1.8316,
["reseni"] = {
["float"] = -52747.52,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1318688,
["jmenovatel"] = 25 },
["render"] = "\\frac{-5274752}{100}",
["typ"] = "cislo" },
["tex"] = "-52747\\frac{13}{25}",
["tex_float"] = "-52747{,}52",
["x"] = -52747,
["y"] = 13,
["z"] = 25 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.77",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-19 + 4\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-19 + 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-18 - (-10)",
["typ"] = "minus" },
["render"] = "(-18 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["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} + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{5} + (-10))^2",
["typ"] = "mocnina" },
["render"] = "(-18 - (-10)) \\cdot (4\\frac{2}{5} + (-10))^2",
["typ"] = "krat" },
["render"] = "(-19 + 4\\frac{5}{10})^2 \\cdot (-18 - (-10)) \\cdot (4\\frac{2}{5} + (-10))^2",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.78, bodu=97, $$19 - (-14) + (-16 - \frac{15 + 2\frac{1}{8}}{-12})=\textcolor{white}{18\frac{41}{96}}$$return {
["body"] = 97,
["id"] = "tlyYij_1014_0646",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 18.427083333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1769,
["jmenovatel"] = 96 },
["render"] = "\\frac{1769}{96}",
["typ"] = "cislo" },
["tex"] = "18\\frac{41}{96}",
["x"] = 18,
["y"] = 41,
["z"] = 96 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "19 - (-14)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{15 + 2\\frac{1}{8}}{-12}",
["typ"] = "lomeno" },
["render"] = "-16 - \\frac{15 + 2\\frac{1}{8}}{-12}",
["typ"] = "minus" },
["render"] = "19 - (-14) + (-16 - \\frac{15 + 2\\frac{1}{8}}{-12})",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.79, bodu=126, $$\frac{-15 + (-12)}{3\frac{5}{6} \cdot -19 - (15 + 4\frac{4}{7})}=\textcolor{white}{\frac{1134}{3881}}$$return {
["body"] = 126,
["id"] = "dFWz8p_1014_0646",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 0.29219273383149,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1134,
["jmenovatel"] = 3881 },
["render"] = "\\frac{-1134}{-3881}",
["typ"] = "cislo" },
["tex"] = "\\frac{1134}{3881}",
["y"] = 1134,
["z"] = 3881 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-15 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{6} \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(15 + 4\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{6} \\cdot -19 - (15 + 4\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "\\frac{-15 + (-12)}{3\\frac{5}{6} \\cdot -19 - (15 + 4\\frac{4}{7})}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.8, bodu=159, $$(2\frac{4}{6} \cdot -11 + 2\frac{5}{11} - 3\frac{2}{8}) \cdot (-6 + (-10)) \cdot -13=\textcolor{white}{-6266\frac{26}{33}}$$return {
["body"] = 159,
["id"] = "P8XJFb_1014_0646",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = -6266.7878787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = -206804,
["jmenovatel"] = 33 },
["render"] = "\\frac{-827216}{132}",
["typ"] = "cislo" },
["tex"] = "-6266\\frac{26}{33}",
["x"] = -6266,
["y"] = 26,
["z"] = 33 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.8",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 3\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "2\\frac{4}{6} \\cdot -11 + 2\\frac{5}{11} - 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} \\cdot -11 + 2\\frac{5}{11} - 3\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 + (-10)",
["typ"] = "plus" },
["render"] = "(-6 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-6 + (-10)) \\cdot -13",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{6} \\cdot -11 + 2\\frac{5}{11} - 3\\frac{2}{8}) \\cdot (-6 + (-10)) \\cdot -13",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.81, bodu=130, $$\frac{-16}{3\frac{1}{7} \cdot 13 \cdot (8 + 2\frac{4}{8} - 9)^2}=\textcolor{white}{-\frac{224}{1287}}$$return {
["body"] = 130,
["id"] = "0P9KE0_1014_0646",
["obtiznost"] = 1.2152,
["reseni"] = {
["float"] = -0.17404817404817,
["objekt"] = {
["hodnota"] = {
["citatel"] = -224,
["jmenovatel"] = 1287 },
["render"] = "\\frac{-224}{1287}",
["typ"] = "cislo" },
["tex"] = "-\\frac{224}{1287}",
["y"] = -224,
["z"] = 1287 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 9",
["typ"] = "minus" },
["render"] = "8 + 2\\frac{4}{8} - 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 2\\frac{4}{8} - 9)^2",
["typ"] = "mocnina" },
["render"] = "13 \\cdot (8 + 2\\frac{4}{8} - 9)^2",
["typ"] = "krat" },
["render"] = "3\\frac{1}{7} \\cdot 13 \\cdot (8 + 2\\frac{4}{8} - 9)^2",
["typ"] = "krat" },
["render"] = "\\frac{-16}{3\\frac{1}{7} \\cdot 13 \\cdot (8 + 2\\frac{4}{8} - 9)^2}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.82, bodu=162, $$\frac{-23}{19 + \frac{3\frac{3}{7}}{1\frac{4}{12}} - 10 \cdot 3\frac{4}{7}}=\textcolor{white}{1\frac{62}{99}}$$return {
["body"] = 162,
["id"] = "Vjchro_1014_0646",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 1.6262626262626,
["objekt"] = {
["hodnota"] = {
["citatel"] = 161,
["jmenovatel"] = 99 },
["render"] = "\\frac{-161}{-99}",
["typ"] = "cislo" },
["tex"] = "1\\frac{62}{99}",
["x"] = 1,
["y"] = 62,
["z"] = 99 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{7}}{1\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{7}}{1\\frac{4}{12}} - 10 \\cdot 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "19 + \\frac{3\\frac{3}{7}}{1\\frac{4}{12}} - 10 \\cdot 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-23}{19 + \\frac{3\\frac{3}{7}}{1\\frac{4}{12}} - 10 \\cdot 3\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.83, bodu=197, $$\frac{\frac{4\frac{3}{10}}{1\frac{3}{4}} \cdot 21}{\frac{2\frac{2}{12}}{3\frac{4}{9}}}=\textcolor{white}{82\frac{2}{65}}$$return {
["body"] = 197,
["id"] = "wNnvPz_1014_0646",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = 82.030769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5332,
["jmenovatel"] = 65 },
["render"] = "\\frac{15996}{195}",
["typ"] = "cislo" },
["tex"] = "82\\frac{2}{65}",
["x"] = 82,
["y"] = 2,
["z"] = 65 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{1\\frac{3}{4}} \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{12}}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{4\\frac{3}{10}}{1\\frac{3}{4}} \\cdot 21}{\\frac{2\\frac{2}{12}}{3\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.84, bodu=157, $$(\frac{-16}{11})^2 \cdot \frac{2\frac{1}{2}}{3\frac{1}{6} \cdot -11}=\textcolor{white}{-\frac{3840}{25289}}$$return {
["body"] = 157,
["id"] = "rVrTws_1014_0646",
["obtiznost"] = 1.3908,
["reseni"] = {
["float"] = -0.15184467555063,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3840,
["jmenovatel"] = 25289 },
["render"] = "\\frac{-3840}{25289}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3840}{25289}",
["y"] = -3840,
["z"] = 25289 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.84",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{2}}{3\\frac{1}{6} \\cdot -11}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-16}{11})^2 \\cdot \\frac{2\\frac{1}{2}}{3\\frac{1}{6} \\cdot -11}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.85, bodu=200, $$(19 + 1\frac{2}{11}) \cdot (-15 \cdot 3\frac{2}{6} + \frac{1\frac{2}{4}}{3\frac{2}{7}} + 9)=\textcolor{white}{-818\frac{61}{253}}$$return {
["body"] = 200,
["id"] = "gEjMRO_1014_0646",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -818.24110671937,
["objekt"] = {
["hodnota"] = {
["citatel"] = -207015,
["jmenovatel"] = 253 },
["render"] = "\\frac{-414030}{506}",
["typ"] = "cislo" },
["tex"] = "-818\\frac{61}{253}",
["x"] = -818,
["y"] = 61,
["z"] = 253 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "19 + 1\\frac{2}{11}",
["typ"] = "plus" },
["render"] = "(19 + 1\\frac{2}{11})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot 3\\frac{2}{6} + \\frac{1\\frac{2}{4}}{3\\frac{2}{7}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 3\\frac{2}{6} + \\frac{1\\frac{2}{4}}{3\\frac{2}{7}} + 9",
["typ"] = "plus" },
["render"] = "(-15 \\cdot 3\\frac{2}{6} + \\frac{1\\frac{2}{4}}{3\\frac{2}{7}} + 9)",
["typ"] = "zavorka" },
["render"] = "(19 + 1\\frac{2}{11}) \\cdot (-15 \\cdot 3\\frac{2}{6} + \\frac{1\\frac{2}{4}}{3\\frac{2}{7}} + 9)",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.86, bodu=202, $$3\frac{5}{8} \cdot (4\frac{3}{10} + 3\frac{2}{6}) - (11 + 11 \cdot 13 + 3\frac{3}{9})=\textcolor{white}{-129\frac{53}{80}}$$return {
["body"] = 202,
["id"] = "yt1BSD_1014_0646",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -129.6625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10373,
["jmenovatel"] = 80 },
["render"] = "\\frac{-93357}{720}",
["typ"] = "cislo" },
["tex"] = "-129\\frac{53}{80}",
["x"] = -129,
["y"] = 53,
["z"] = 80 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{10} + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} \\cdot (4\\frac{3}{10} + 3\\frac{2}{6})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 13 + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "11 + 11 \\cdot 13 + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(11 + 11 \\cdot 13 + 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} \\cdot (4\\frac{3}{10} + 3\\frac{2}{6}) - (11 + 11 \\cdot 13 + 3\\frac{3}{9})",
["typ"] = "minus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.87, bodu=138, $$\frac{1\frac{4}{7}}{\frac{5 - \frac{-16}{14}}{16}} \cdot 3\frac{3}{11}=\textcolor{white}{13\frac{17}{43}}$$return {
["body"] = 138,
["id"] = "EbOXQC_1014_0646",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 13.395348837209,
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 43 },
["render"] = "\\frac{6336}{473}",
["typ"] = "cislo" },
["tex"] = "13\\frac{17}{43}",
["x"] = 13,
["y"] = 17,
["z"] = 43 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{14}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{-16}{14}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{5 - \\frac{-16}{14}}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{7}}{\\frac{5 - \\frac{-16}{14}}{16}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{\\frac{5 - \\frac{-16}{14}}{16}} \\cdot 3\\frac{3}{11}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.88, bodu=140, $$(-9 - (-15)) \cdot 2\frac{5}{11} \cdot \frac{\frac{-14}{1\frac{3}{7}}}{-12}=\textcolor{white}{12\frac{3}{110}}$$return {
["body"] = 140,
["id"] = "RXEWuY_1014_0646",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 12.027272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1323,
["jmenovatel"] = 110 },
["render"] = "\\frac{7938}{660}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{110}",
["x"] = 12,
["y"] = 3,
["z"] = 110 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(-9 - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(-9 - (-15)) \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-14}{1\\frac{3}{7}}}{-12}",
["typ"] = "lomeno" },
["render"] = "(-9 - (-15)) \\cdot 2\\frac{5}{11} \\cdot \\frac{\\frac{-14}{1\\frac{3}{7}}}{-12}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.89, bodu=85, $$20 - \frac{(-8 - (-8))^4}{-7} + (-2 \cdot -16)=\textcolor{white}{52}$$return {
["body"] = 85,
["id"] = "lDn15p_1014_0646",
["obtiznost"] = 0.8904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 1 },
["render"] = "\\frac{52}{1}",
["typ"] = "cislo" },
["tex"] = "52",
["x"] = 52 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 - (-8))^4}{-7}",
["typ"] = "lomeno" },
["render"] = "20 - \\frac{(-8 - (-8))^4}{-7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-2 \\cdot -16",
["typ"] = "krat" },
["render"] = "20 - \\frac{(-8 - (-8))^4}{-7} + (-2 \\cdot -16)",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.9, bodu=209, $$(\frac{2\frac{1}{6}}{11} \cdot \frac{2\frac{4}{9}}{-14} + 1\frac{5}{9}) \cdot 2\frac{1}{7}=\textcolor{white}{3\frac{229}{882}}$$return {
["body"] = 209,
["id"] = "I4yrrl_1014_0646",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 3.2596371882086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2875,
["jmenovatel"] = 882 },
["render"] = "\\frac{8625}{2646}",
["typ"] = "cislo" },
["tex"] = "3\\frac{229}{882}",
["x"] = 3,
["y"] = 229,
["z"] = 882 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{6}}{11} \\cdot \\frac{2\\frac{4}{9}}{-14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{11} \\cdot \\frac{2\\frac{4}{9}}{-14} + 1\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{1}{6}}{11} \\cdot \\frac{2\\frac{4}{9}}{-14} + 1\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{1}{6}}{11} \\cdot \\frac{2\\frac{4}{9}}{-14} + 1\\frac{5}{9}) \\cdot 2\\frac{1}{7}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.91, bodu=248, $$\frac{2\frac{2}{5} \cdot (4\frac{5}{10} + 3\frac{3}{6})^3}{\frac{10 - (-12)}{2\frac{2}{7}}}=\textcolor{white}{127\frac{257}{385}}$$return {
["body"] = 248,
["id"] = "BVJZX1_1014_0646",
["obtiznost"] = 1.9152,
["reseni"] = {
["float"] = 127.66753246753,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49152,
["jmenovatel"] = 385 },
["render"] = "\\frac{49152}{385}",
["typ"] = "cislo" },
["tex"] = "127\\frac{257}{385}",
["x"] = 127,
["y"] = 257,
["z"] = 385 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 3\\frac{3}{6}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{5}{10} + 3\\frac{3}{6})^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{5} \\cdot (4\\frac{5}{10} + 3\\frac{3}{6})^3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 - (-12)}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{5} \\cdot (4\\frac{5}{10} + 3\\frac{3}{6})^3}{\\frac{10 - (-12)}{2\\frac{2}{7}}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.92, bodu=178, $$-8 - \frac{-17}{2\frac{4}{10} \cdot -2 + 1\frac{1}{10} + 2\frac{2}{9}} + (-13)=\textcolor{white}{-32\frac{67}{133}}$$return {
["body"] = 178,
["id"] = "bdUMA2_1014_0646",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -32.503759398496,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4323,
["jmenovatel"] = 133 },
["render"] = "\\frac{-4323}{133}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{67}{133}",
["x"] = -32,
["y"] = 67,
["z"] = 133 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} + 2\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "2\\frac{4}{10} \\cdot -2 + 1\\frac{1}{10} + 2\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-17}{2\\frac{4}{10} \\cdot -2 + 1\\frac{1}{10} + 2\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{-17}{2\\frac{4}{10} \\cdot -2 + 1\\frac{1}{10} + 2\\frac{2}{9}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-8 - \\frac{-17}{2\\frac{4}{10} \\cdot -2 + 1\\frac{1}{10} + 2\\frac{2}{9}} + (-13)",
["typ"] = "plus" } }
seed: WtVraSw9Sa9BwVir5FDI_0.93, bodu=214, $$13 \cdot 3\frac{3}{8} \cdot 4\frac{5}{11} \cdot \frac{4\frac{2}{7}}{1\frac{5}{10}}=\textcolor{white}{558\frac{9}{22}}$$return {
["body"] = 214,
["id"] = "muL46I_1014_0646",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 558.40909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12285,
["jmenovatel"] = 22 },
["render"] = "\\frac{49140}{88}",
["typ"] = "cislo" },
["tex"] = "558\\frac{9}{22}",
["x"] = 558,
["y"] = 9,
["z"] = 22 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.93",
["zadani"] = {
["c1"] = {
["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 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} \\cdot \\frac{4\\frac{2}{7}}{1\\frac{5}{10}}",
["typ"] = "krat" },
["render"] = "13 \\cdot 3\\frac{3}{8} \\cdot 4\\frac{5}{11} \\cdot \\frac{4\\frac{2}{7}}{1\\frac{5}{10}}",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.94, bodu=155, $$(\frac{3\frac{1}{9}}{-7})^2 \cdot 8 \cdot (2\frac{1}{6} + (-23)) \cdot -12=\textcolor{white}{395\frac{5}{81}}$$return {
["body"] = 155,
["id"] = "kBwlsH_1014_0646",
["obtiznost"] = 1.3788,
["reseni"] = {
["float"] = 395.06172839506,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32000,
["jmenovatel"] = 81 },
["render"] = "\\frac{32000}{81}",
["typ"] = "cislo" },
["tex"] = "395\\frac{5}{81}",
["x"] = 395,
["y"] = 5,
["z"] = 81 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.94",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{9}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{1}{9}}{-7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + (-23)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + (-23))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (2\\frac{1}{6} + (-23))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 \\cdot (2\\frac{1}{6} + (-23)) \\cdot -12",
["typ"] = "krat" },
["render"] = "(\\frac{3\\frac{1}{9}}{-7})^2 \\cdot 8 \\cdot (2\\frac{1}{6} + (-23)) \\cdot -12",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.95, bodu=257, $$\frac{-19 + 1\frac{2}{10}}{\frac{4\frac{2}{3}}{(-11 + 3\frac{2}{6})^2} \cdot 3\frac{2}{7}}=\textcolor{white}{-68\frac{7}{30}}$$return {
["body"] = 257,
["id"] = "RHb1i9_1014_0646",
["obtiznost"] = 1.9652,
["reseni"] = {
["float"] = -68.233333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2047,
["jmenovatel"] = 30 },
["render"] = "\\frac{-2047}{30}",
["typ"] = "cislo" },
["tex"] = "-68\\frac{7}{30}",
["x"] = -68,
["y"] = 7,
["z"] = 30 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-19 + 1\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{2}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 3\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{2}{3}}{(-11 + 3\\frac{2}{6})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{3}}{(-11 + 3\\frac{2}{6})^2} \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{-19 + 1\\frac{2}{10}}{\\frac{4\\frac{2}{3}}{(-11 + 3\\frac{2}{6})^2} \\cdot 3\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.96, bodu=256, $$\frac{2\frac{5}{15} - 2\frac{4}{11}}{11 \cdot (1\frac{3}{9} + 3\frac{4}{15}) - 1\frac{1}{10}}=\textcolor{white}{-\frac{2}{3267}}$$return {
["body"] = 256,
["id"] = "2OJQju_1014_0646",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = -0.00061218243036425,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 3267 },
["render"] = "\\frac{-2}{3267}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{3267}",
["y"] = -2,
["z"] = 3267 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{15} - 2\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 3\\frac{4}{15}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{9} + 3\\frac{4}{15})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (1\\frac{3}{9} + 3\\frac{4}{15})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "11 \\cdot (1\\frac{3}{9} + 3\\frac{4}{15}) - 1\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{15} - 2\\frac{4}{11}}{11 \\cdot (1\\frac{3}{9} + 3\\frac{4}{15}) - 1\\frac{1}{10}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.97, bodu=187, $$\frac{2\frac{4}{9}}{\frac{(-8 - (-10)) \cdot 20}{3\frac{4}{11} \cdot 2\frac{3}{9}}}=\textcolor{white}{\frac{259}{540}}$$return {
["body"] = 187,
["id"] = "gEiLRM_1014_0646",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 0.47962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 259,
["jmenovatel"] = 540 },
["render"] = "\\frac{5698}{11880}",
["typ"] = "cislo" },
["tex"] = "\\frac{259}{540}",
["y"] = 259,
["z"] = 540 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-8 - (-10)",
["typ"] = "minus" },
["render"] = "(-8 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "(-8 - (-10)) \\cdot 20",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} \\cdot 2\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "\\frac{(-8 - (-10)) \\cdot 20}{3\\frac{4}{11} \\cdot 2\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{9}}{\\frac{(-8 - (-10)) \\cdot 20}{3\\frac{4}{11} \\cdot 2\\frac{3}{9}}}",
["typ"] = "lomeno" } }
seed: WtVraSw9Sa9BwVir5FDI_0.98, bodu=155, $$-11 \cdot (-22 - 2\frac{3}{12} + (-23 \cdot (1\frac{1}{7} - (-13))))=\textcolor{white}{3844\frac{25}{28}}$$return {
["body"] = 155,
["id"] = "KZisMJ_1014_0646",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 3844.8928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107657,
["jmenovatel"] = 28 },
["render"] = "\\frac{107657}{28}",
["typ"] = "cislo" },
["tex"] = "3844\\frac{25}{28}",
["x"] = 3844,
["y"] = 25,
["z"] = 28 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-22 - 2\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - (-13)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{7} - (-13))",
["typ"] = "zavorka" },
["render"] = "-23 \\cdot (1\\frac{1}{7} - (-13))",
["typ"] = "krat" },
["render"] = "-22 - 2\\frac{3}{12} + (-23 \\cdot (1\\frac{1}{7} - (-13)))",
["typ"] = "plus" },
["render"] = "(-22 - 2\\frac{3}{12} + (-23 \\cdot (1\\frac{1}{7} - (-13))))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (-22 - 2\\frac{3}{12} + (-23 \\cdot (1\\frac{1}{7} - (-13))))",
["typ"] = "krat" } }
seed: WtVraSw9Sa9BwVir5FDI_0.99, bodu=225, $$3\frac{5}{14} \cdot -22 \cdot \frac{3\frac{3}{9} + 4\frac{3}{10} - 5}{4\frac{2}{6}}=\textcolor{white}{-44\frac{803}{910}}$$return {
["body"] = 225,
["id"] = "fU6QtR_1014_0646",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -44.882417582418,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40843,
["jmenovatel"] = 910 },
["render"] = "\\frac{-40843}{910}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{803}{910}",
["x"] = -44,
["y"] = 803,
["z"] = 910 },
["seed"] = "WtVraSw9Sa9BwVir5FDI_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot -22",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + 4\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + 4\\frac{3}{10} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{9} + 4\\frac{3}{10} - 5}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{14} \\cdot -22 \\cdot \\frac{3\\frac{3}{9} + 4\\frac{3}{10} - 5}{4\\frac{2}{6}}",
["typ"] = "krat" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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