- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 6fEWtjlP0JBHI6TrjgaQ_0, bodu=28, $$\frac{6 + 6}{(\frac{8}{7})^3}=\textcolor{white}{8\frac{5}{128}}$$return {
["body"] = 28,
["id"] = "bqlRhg_0426_0710",
["obtiznost"] = 0.342,
["reseni"] = {
["float"] = 8.0390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1029,
["jmenovatel"] = 128 },
["render"] = "\\frac{4116}{512}",
["typ"] = "cislo" },
["tex"] = "8\\frac{5}{128}",
["x"] = 8,
["y"] = 5,
["z"] = 128 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["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{6 + 6}{(\\frac{8}{7})^3}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.01, bodu=18, $$(\frac{6 - 7}{8})^3 + 3=\textcolor{white}{2\frac{511}{512}}$$return {
["body"] = 18,
["id"] = "isjiRY_0426_0710",
["obtiznost"] = 0.2152,
["reseni"] = {
["float"] = 2.998046875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1535,
["jmenovatel"] = 512 },
["render"] = "\\frac{1535}{512}",
["typ"] = "cislo" },
["tex"] = "2\\frac{511}{512}",
["x"] = 2,
["y"] = 511,
["z"] = 512 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6 - 7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6 - 7}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(\\frac{6 - 7}{8})^3 + 3",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.02, bodu=5, $$(6 + 8 + 2) \cdot 6=\textcolor{white}{96}$$return {
["body"] = 5,
["id"] = "jrLjRD_0426_0710",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["tex_float"] = "96",
["x"] = 96 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "6 + 8 + 2",
["typ"] = "plus" },
["render"] = "(6 + 8 + 2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(6 + 8 + 2) \\cdot 6",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.03, bodu=10, $$\frac{6}{9 \cdot 5}=\textcolor{white}{\frac{2}{15}}$$return {
["body"] = 10,
["id"] = "y572JA_0426_0710",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.13333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 15 },
["render"] = "\\frac{6}{45}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{15}",
["y"] = 2,
["z"] = 15 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{6}{9 \\cdot 5}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.04, bodu=10, $$\frac{7 \cdot 8}{10 + 6}=\textcolor{white}{3{,}5}$$return {
["body"] = 10,
["id"] = "woT70K_0426_0710",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{56}{16}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot 8}{10 + 6}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.05, bodu=21, $$\frac{7 + 3\frac{1}{2}}{\frac{8}{7}}=\textcolor{white}{9\frac{3}{16}}$$return {
["body"] = 21,
["id"] = "BO43KD_0426_0710",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 9.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 147,
["jmenovatel"] = 16 },
["render"] = "\\frac{147}{16}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{16}",
["x"] = 9,
["y"] = 3,
["z"] = 16 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "7 + 3\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{7 + 3\\frac{1}{2}}{\\frac{8}{7}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.06, bodu=6, $$((7 + (-6)) \cdot (3 + 8))^2=\textcolor{white}{121}$$return {
["body"] = 6,
["id"] = "glmlS3_0426_0710",
["obtiznost"] = 0.1088,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 1 },
["render"] = "\\frac{121}{1}",
["typ"] = "cislo" },
["tex"] = "121",
["x"] = 121 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["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"] = "plus" },
["render"] = "(3 + 8)",
["typ"] = "zavorka" },
["render"] = "(7 + (-6)) \\cdot (3 + 8)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((7 + (-6)) \\cdot (3 + 8))^2",
["typ"] = "mocnina" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.07, bodu=22, $$\frac{8 + 4\frac{4}{9} - (-8)}{8}=\textcolor{white}{2\frac{5}{9}}$$return {
["body"] = 22,
["id"] = "M9u672_0426_0710",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 2.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "\\frac{184}{72}",
["typ"] = "cislo" },
["tex"] = "2\\frac{5}{9}",
["x"] = 2,
["y"] = 5,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{4}{9} - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 4\\frac{4}{9} - (-8)}{8}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.08, bodu=7, $$-10 - (6 - (-10 - (-4)))^2=\textcolor{white}{-154}$$return {
["body"] = 7,
["id"] = "qHimJk_0426_0710",
["obtiznost"] = 0.138,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -154,
["jmenovatel"] = 1 },
["render"] = "\\frac{-154}{1}",
["typ"] = "cislo" },
["tex"] = "-154",
["tex_float"] = "-154",
["x"] = -154 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-10 - (-4)",
["typ"] = "minus" },
["render"] = "(-10 - (-4))",
["typ"] = "zavorka" },
["render"] = "6 - (-10 - (-4))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-10 - (-4)))^2",
["typ"] = "mocnina" },
["render"] = "-10 - (6 - (-10 - (-4)))^2",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.09, bodu=7, $$(5 - (5 - 5))^3 \cdot 5=\textcolor{white}{625}$$return {
["body"] = 7,
["id"] = "SJPS9e_0426_0710",
["obtiznost"] = 0.1404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 1 },
["render"] = "\\frac{625}{1}",
["typ"] = "cislo" },
["tex"] = "625",
["x"] = 625 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 - 5",
["typ"] = "minus" },
["render"] = "(5 - 5)",
["typ"] = "zavorka" },
["render"] = "5 - (5 - 5)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - (5 - 5))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(5 - (5 - 5))^3 \\cdot 5",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.1, bodu=19, $$(\frac{3 - 6}{9} - (-6))^2=\textcolor{white}{32\frac{1}{9}}$$return {
["body"] = 19,
["id"] = "9xSb6S_0426_0710",
["obtiznost"] = 0.2192,
["reseni"] = {
["float"] = 32.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 9 },
["render"] = "\\frac{289}{9}",
["typ"] = "cislo" },
["tex"] = "32\\frac{1}{9}",
["x"] = 32,
["y"] = 1,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3 - 6}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3 - 6}{9} - (-6)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{3 - 6}{9} - (-6))^2",
["typ"] = "mocnina" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.11, bodu=13, $$\frac{-6}{5 \cdot -6}=\textcolor{white}{0{,}2}$$return {
["body"] = 13,
["id"] = "Rcwg4U_0426_0710",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 0.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 5 },
["render"] = "\\frac{-6}{-30}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{5}",
["tex_float"] = "0{,}2",
["y"] = 1,
["z"] = 5 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{-6}{5 \\cdot -6}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.12, bodu=13, $$\frac{6 - (9 - 7)^2}{6}=\textcolor{white}{\frac{1}{3}}$$return {
["body"] = 13,
["id"] = "nc16qx_0426_0710",
["obtiznost"] = 0.122,
["reseni"] = {
["float"] = 0.33333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 3 },
["render"] = "\\frac{2}{6}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{3}",
["y"] = 1,
["z"] = 3 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 7)^2",
["typ"] = "mocnina" },
["render"] = "6 - (9 - 7)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6 - (9 - 7)^2}{6}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.13, bodu=27, $$4\frac{5}{8} - 5 - 11 \cdot 9=\textcolor{white}{-99{,}375}$$return {
["body"] = 27,
["id"] = "hJ7QRJ_0426_0710",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -99.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -795,
["jmenovatel"] = 8 },
["render"] = "\\frac{-795}{8}",
["typ"] = "cislo" },
["tex"] = "-99\\frac{3}{8}",
["tex_float"] = "-99{,}375",
["x"] = -99,
["y"] = 3,
["z"] = 8 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} - 5 - 11 \\cdot 9",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.14, bodu=27, $$\frac{5}{-8} - (7 + 4\frac{2}{6})=\textcolor{white}{-11\frac{23}{24}}$$return {
["body"] = 27,
["id"] = "Zbfzgw_0426_0710",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -11.958333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -287,
["jmenovatel"] = 24 },
["render"] = "\\frac{-287}{24}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{23}{24}",
["x"] = -11,
["y"] = 23,
["z"] = 24 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(7 + 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{-8} - (7 + 4\\frac{2}{6})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.15, bodu=7, $$4 \cdot 10 - (6 + 6)=\textcolor{white}{28}$$return {
["body"] = 7,
["id"] = "pRDALu_0426_0710",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1 },
["render"] = "\\frac{28}{1}",
["typ"] = "cislo" },
["tex"] = "28",
["x"] = 28 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "(6 + 6)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot 10 - (6 + 6)",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.16, bodu=18, $$(-7 + (-7 + 8 + (-10 + 7))^4)^3=\textcolor{white}{729}$$return {
["body"] = 18,
["id"] = "kGuQIa_0426_0710",
["obtiznost"] = 0.4588,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 1 },
["render"] = "\\frac{729}{1}",
["typ"] = "cislo" },
["tex"] = "729",
["x"] = 729 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 + 7",
["typ"] = "plus" },
["render"] = "-7 + 8 + (-10 + 7)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 8 + (-10 + 7))^4",
["typ"] = "mocnina" },
["render"] = "-7 + (-7 + 8 + (-10 + 7))^4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + (-7 + 8 + (-10 + 7))^4)^3",
["typ"] = "mocnina" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.17, bodu=30, $$(-9 + 10) \cdot \frac{3\frac{3}{5}}{7}=\textcolor{white}{\frac{18}{35}}$$return {
["body"] = 30,
["id"] = "2RvwY7_0426_0710",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.51428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 35 },
["render"] = "\\frac{18}{35}",
["typ"] = "cislo" },
["tex"] = "\\frac{18}{35}",
["y"] = 18,
["z"] = 35 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.17",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 + 10",
["typ"] = "plus" },
["render"] = "(-9 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{7}",
["typ"] = "lomeno" },
["render"] = "(-9 + 10) \\cdot \\frac{3\\frac{3}{5}}{7}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.18, bodu=8, $$-5 - (9 + (-7)) \cdot 12=\textcolor{white}{-29}$$return {
["body"] = 8,
["id"] = "Y8I0BB_0426_0710",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 1 },
["render"] = "\\frac{-29}{1}",
["typ"] = "cislo" },
["tex"] = "-29",
["tex_float"] = "-29",
["x"] = -29 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 + (-7)",
["typ"] = "plus" },
["render"] = "(9 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(9 + (-7)) \\cdot 12",
["typ"] = "krat" },
["render"] = "-5 - (9 + (-7)) \\cdot 12",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.19, bodu=17, $$\frac{(11 - 12) \cdot 9}{8}=\textcolor{white}{-1{,}125}$$return {
["body"] = 17,
["id"] = "28rETH_0426_0710",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -1.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 8 },
["render"] = "\\frac{-9}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{8}",
["tex_float"] = "-1{,}125",
["x"] = -1,
["y"] = 1,
["z"] = 8 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 - 12",
["typ"] = "minus" },
["render"] = "(11 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(11 - 12) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(11 - 12) \\cdot 9}{8}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.2, bodu=18, $$\frac{-9 \cdot -8}{(6 - 5)^2}=\textcolor{white}{72}$$return {
["body"] = 18,
["id"] = "i2PPof_0426_0710",
["obtiznost"] = 0.2008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{1}",
["typ"] = "cislo" },
["tex"] = "72",
["x"] = 72 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 5)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-9 \\cdot -8}{(6 - 5)^2}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.21, bodu=18, $$\frac{12}{10} - \frac{12}{7}=\textcolor{white}{-\frac{18}{35}}$$return {
["body"] = 18,
["id"] = "UBKm6k_0426_0710",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -0.51428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 35 },
["render"] = "\\frac{-18}{35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{18}{35}",
["y"] = -18,
["z"] = 35 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.21",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{10} - \\frac{12}{7}",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.22, bodu=34, $$\frac{7 - 8 - 1\frac{1}{4}}{8}=\textcolor{white}{-\frac{9}{32}}$$return {
["body"] = 34,
["id"] = "EyQxdt_0426_0710",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -0.28125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 32 },
["render"] = "\\frac{-9}{32}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{32}",
["y"] = -9,
["z"] = 32 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "7 - 8 - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 8 - 1\\frac{1}{4}}{8}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.23, bodu=35, $$\frac{9}{11 - 4\frac{5}{7}} \cdot (-14 + 8)=\textcolor{white}{-8\frac{13}{22}}$$return {
["body"] = 35,
["id"] = "lP5is1_0426_0710",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -8.5909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 22 },
["render"] = "\\frac{-378}{44}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{13}{22}",
["x"] = -8,
["y"] = 13,
["z"] = 22 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "\\frac{9}{11 - 4\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 + 8",
["typ"] = "plus" },
["render"] = "(-14 + 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{11 - 4\\frac{5}{7}} \\cdot (-14 + 8)",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.24, bodu=10, $$3 - (-4 + 10) - (8 + 3)=\textcolor{white}{-14}$$return {
["body"] = 10,
["id"] = "VEjBDZ_0426_0710",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14}{1}",
["typ"] = "cislo" },
["tex"] = "-14",
["tex_float"] = "-14",
["x"] = -14 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 + 10",
["typ"] = "plus" },
["render"] = "(-4 + 10)",
["typ"] = "zavorka" },
["render"] = "3 - (-4 + 10)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 + 3",
["typ"] = "plus" },
["render"] = "(8 + 3)",
["typ"] = "zavorka" },
["render"] = "3 - (-4 + 10) - (8 + 3)",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.25, bodu=80, $$(3\frac{4}{5} - 4\frac{3}{7}) \cdot (2\frac{5}{9} - 14)=\textcolor{white}{7\frac{61}{315}}$$return {
["body"] = 80,
["id"] = "AGR7r1_0426_0710",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 7.1936507936508,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2266,
["jmenovatel"] = 315 },
["render"] = "\\frac{2266}{315}",
["typ"] = "cislo" },
["tex"] = "7\\frac{61}{315}",
["x"] = 7,
["y"] = 61,
["z"] = 315 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{5} - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - 14",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - 14)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{5} - 4\\frac{3}{7}) \\cdot (2\\frac{5}{9} - 14)",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.26, bodu=38, $$\frac{2\frac{3}{5} \cdot 11}{(\frac{6}{8})^2}=\textcolor{white}{50\frac{38}{45}}$$return {
["body"] = 38,
["id"] = "zfMPTU_0426_0710",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 50.844444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2288,
["jmenovatel"] = 45 },
["render"] = "\\frac{2288}{45}",
["typ"] = "cislo" },
["tex"] = "50\\frac{38}{45}",
["x"] = 50,
["y"] = 38,
["z"] = 45 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{8})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{3}{5} \\cdot 11}{(\\frac{6}{8})^2}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.27, bodu=59, $$(-15 - 3\frac{2}{8}) \cdot 8 \cdot 3\frac{1}{6}=\textcolor{white}{-462\frac{1}{3}}$$return {
["body"] = 59,
["id"] = "V8xqIt_0426_0710",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -462.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1387,
["jmenovatel"] = 3 },
["render"] = "\\frac{-2774}{6}",
["typ"] = "cislo" },
["tex"] = "-462\\frac{1}{3}",
["x"] = -462,
["y"] = 1,
["z"] = 3 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-15 - 3\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(-15 - 3\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-15 - 3\\frac{2}{8}) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(-15 - 3\\frac{2}{8}) \\cdot 8 \\cdot 3\\frac{1}{6}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.28, bodu=61, $$-6 - (3\frac{4}{8} - 1\frac{5}{11} + (\frac{8}{-12})^2)=\textcolor{white}{-8\frac{97}{198}}$$return {
["body"] = 61,
["id"] = "qakOqc_0426_0710",
["obtiznost"] = 0.6852,
["reseni"] = {
["float"] = -8.489898989899,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1681,
["jmenovatel"] = 198 },
["render"] = "\\frac{-1681}{198}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{97}{198}",
["x"] = -8,
["y"] = 97,
["z"] = 198 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 1\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-12})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{8} - 1\\frac{5}{11} + (\\frac{8}{-12})^2",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} - 1\\frac{5}{11} + (\\frac{8}{-12})^2)",
["typ"] = "zavorka" },
["render"] = "-6 - (3\\frac{4}{8} - 1\\frac{5}{11} + (\\frac{8}{-12})^2)",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.29, bodu=85, $$12 + 6 + 4\frac{1}{6} + \frac{4\frac{4}{8}}{3\frac{2}{8}}=\textcolor{white}{23\frac{43}{78}}$$return {
["body"] = 85,
["id"] = "93zt5F_0426_0710",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 23.551282051282,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1837,
["jmenovatel"] = 78 },
["render"] = "\\frac{1837}{78}",
["typ"] = "cislo" },
["tex"] = "23\\frac{43}{78}",
["x"] = 23,
["y"] = 43,
["z"] = 78 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "12 + 6 + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "12 + 6 + 4\\frac{1}{6} + \\frac{4\\frac{4}{8}}{3\\frac{2}{8}}",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.3, bodu=41, $$\frac{1\frac{5}{10}}{-11 \cdot ((13 + (-14))^3 - (-7))}=\textcolor{white}{-\frac{1}{44}}$$return {
["body"] = 41,
["id"] = "op9SmN_0426_0710",
["obtiznost"] = 0.5008,
["reseni"] = {
["float"] = -0.022727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 44 },
["render"] = "\\frac{3}{-132}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{44}",
["y"] = -1,
["z"] = 44 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "13 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-14))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(13 + (-14))^3 - (-7)",
["typ"] = "minus" },
["render"] = "((13 + (-14))^3 - (-7))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot ((13 + (-14))^3 - (-7))",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{10}}{-11 \\cdot ((13 + (-14))^3 - (-7))}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.31, bodu=42, $$(2\frac{3}{5} - 7 \cdot -4 + 12) \cdot -5=\textcolor{white}{-213}$$return {
["body"] = 42,
["id"] = "lmxxYH_0426_0710",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -213,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1065}{5}",
["typ"] = "cislo" },
["tex"] = "-213",
["x"] = -213 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 \\cdot -4",
["typ"] = "krat" },
["render"] = "2\\frac{3}{5} - 7 \\cdot -4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - 7 \\cdot -4 + 12",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{5} - 7 \\cdot -4 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{5} - 7 \\cdot -4 + 12) \\cdot -5",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.32, bodu=64, $$\frac{1\frac{5}{10} - (-13)}{2\frac{2}{8} - 7}=\textcolor{white}{-3\frac{1}{19}}$$return {
["body"] = 64,
["id"] = "xABZkX_0426_0710",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -3.0526315789474,
["objekt"] = {
["hodnota"] = {
["citatel"] = -58,
["jmenovatel"] = 19 },
["render"] = "\\frac{116}{-38}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{19}",
["x"] = -3,
["y"] = 1,
["z"] = 19 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} - 7",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{10} - (-13)}{2\\frac{2}{8} - 7}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.33, bodu=45, $$\frac{15}{(8 - 6 + 6)^3 + 3}=\textcolor{white}{\frac{3}{103}}$$return {
["body"] = 45,
["id"] = "tDEEqp_0426_0710",
["obtiznost"] = 0.5352,
["reseni"] = {
["float"] = 0.029126213592233,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 103 },
["render"] = "\\frac{15}{515}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{103}",
["y"] = 3,
["z"] = 103 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(8 - 6 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(8 - 6 + 6)^3 + 3",
["typ"] = "plus" },
["render"] = "\\frac{15}{(8 - 6 + 6)^3 + 3}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.34, bodu=27, $$\frac{\frac{13}{-5}}{9 - (-9)}=\textcolor{white}{-\frac{13}{90}}$$return {
["body"] = 27,
["id"] = "wYikof_0426_0710",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -0.14444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 90 },
["render"] = "\\frac{-13}{90}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{90}",
["y"] = -13,
["z"] = 90 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{13}{-5}}{9 - (-9)}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.35, bodu=14, $$7 \cdot 14 \cdot 6 \cdot -9=\textcolor{white}{-5292}$$return {
["body"] = 14,
["id"] = "x0lHU0_0426_0710",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5292,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5292}{1}",
["typ"] = "cislo" },
["tex"] = "-5292",
["x"] = -5292 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "14 \\cdot 6 \\cdot -9",
["typ"] = "krat" },
["render"] = "7 \\cdot 14 \\cdot 6 \\cdot -9",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.36, bodu=69, $$(\frac{7}{-7})^4 - 4\frac{1}{5} + 2\frac{5}{10} + 10=\textcolor{white}{9{,}3}$$return {
["body"] = 69,
["id"] = "HiNZI4_0426_0710",
["obtiznost"] = 0.7608,
["reseni"] = {
["float"] = 9.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 10 },
["render"] = "\\frac{93}{10}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{10}",
["tex_float"] = "9{,}3",
["x"] = 9,
["y"] = 3,
["z"] = 10 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{7}{-7})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-7})^4 - 4\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-7})^4 - 4\\frac{1}{5} + 2\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{-7})^4 - 4\\frac{1}{5} + 2\\frac{5}{10} + 10",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.37, bodu=48, $$(\frac{9}{-11} - 6) \cdot 2\frac{3}{9}=\textcolor{white}{-15\frac{10}{11}}$$return {
["body"] = 48,
["id"] = "BcKCxv_0426_0710",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -15.909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 11 },
["render"] = "\\frac{-525}{33}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{10}{11}",
["x"] = -15,
["y"] = 10,
["z"] = 11 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-11} - 6",
["typ"] = "minus" },
["render"] = "(\\frac{9}{-11} - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-11} - 6) \\cdot 2\\frac{3}{9}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.38, bodu=49, $$-7 \cdot 5 + 1\frac{2}{9} \cdot -10=\textcolor{white}{-47\frac{2}{9}}$$return {
["body"] = 49,
["id"] = "Xn4gQ1_0426_0710",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -47.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -425,
["jmenovatel"] = 9 },
["render"] = "\\frac{-425}{9}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{2}{9}",
["x"] = -47,
["y"] = 2,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.38",
["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"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} \\cdot -10",
["typ"] = "krat" },
["render"] = "-7 \\cdot 5 + 1\\frac{2}{9} \\cdot -10",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.39, bodu=50, $$10 \cdot 3\frac{3}{8} + 7 \cdot 7=\textcolor{white}{82{,}75}$$return {
["body"] = 50,
["id"] = "guBkel_0426_0710",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 82.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 331,
["jmenovatel"] = 4 },
["render"] = "\\frac{331}{4}",
["typ"] = "cislo" },
["tex"] = "82\\frac{3}{4}",
["tex_float"] = "82{,}75",
["x"] = 82,
["y"] = 3,
["z"] = 4 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "10 \\cdot 3\\frac{3}{8} + 7 \\cdot 7",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.4, bodu=32, $$(\frac{7}{(\frac{(14 + (-14))^4}{14})^2 - (-7)})^3=\textcolor{white}{1}$$return {
["body"] = 32,
["id"] = "vAOY33_0426_0710",
["obtiznost"] = 0.4016,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.4",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "14 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(14 + (-14))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(14 + (-14))^4}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(14 + (-14))^4}{14})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{(14 + (-14))^4}{14})^2 - (-7)",
["typ"] = "minus" },
["render"] = "\\frac{7}{(\\frac{(14 + (-14))^4}{14})^2 - (-7)}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{(\\frac{(14 + (-14))^4}{14})^2 - (-7)})^3",
["typ"] = "mocnina" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.41, bodu=101, $$1\frac{2}{7} \cdot (-8 + 3 - \frac{1\frac{4}{9}}{4\frac{3}{9}})=\textcolor{white}{-6\frac{6}{7}}$$return {
["body"] = 101,
["id"] = "JhbOXE_0426_0710",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -6.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 7 },
["render"] = "\\frac{-144}{21}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{6}{7}",
["x"] = -6,
["y"] = 6,
["z"] = 7 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "3 - \\frac{1\\frac{4}{9}}{4\\frac{3}{9}}",
["typ"] = "minus" },
["render"] = "-8 + 3 - \\frac{1\\frac{4}{9}}{4\\frac{3}{9}}",
["typ"] = "plus" },
["render"] = "(-8 + 3 - \\frac{1\\frac{4}{9}}{4\\frac{3}{9}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{7} \\cdot (-8 + 3 - \\frac{1\\frac{4}{9}}{4\\frac{3}{9}})",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.42, bodu=37, $$(\frac{-14}{-12})^2 \cdot 14 \cdot -6=\textcolor{white}{-114\frac{1}{3}}$$return {
["body"] = 37,
["id"] = "Szqcff_0426_0710",
["obtiznost"] = 0.454,
["reseni"] = {
["float"] = -114.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 3 },
["render"] = "\\frac{-2058}{18}",
["typ"] = "cislo" },
["tex"] = "-114\\frac{1}{3}",
["x"] = -114,
["y"] = 1,
["z"] = 3 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{-12})^2 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{-12})^2 \\cdot 14 \\cdot -6",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.43, bodu=55, $$12 - 8 + 2\frac{5}{9} \cdot -8 \cdot -6=\textcolor{white}{126\frac{2}{3}}$$return {
["body"] = 55,
["id"] = "OivqY5_0426_0710",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 126.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 380,
["jmenovatel"] = 3 },
["render"] = "\\frac{380}{3}",
["typ"] = "cislo" },
["tex"] = "126\\frac{2}{3}",
["x"] = 126,
["y"] = 2,
["z"] = 3 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot -8 \\cdot -6",
["typ"] = "krat" },
["render"] = "12 - 8 + 2\\frac{5}{9} \\cdot -8 \\cdot -6",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.44, bodu=79, $$\frac{4\frac{5}{9}}{6 - (-13)} - (-10 - 1\frac{5}{8})=\textcolor{white}{11\frac{1183}{1368}}$$return {
["body"] = 79,
["id"] = "2UEGTf_0426_0710",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 11.864766081871,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16231,
["jmenovatel"] = 1368 },
["render"] = "\\frac{16231}{1368}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1183}{1368}",
["x"] = 11,
["y"] = 1183,
["z"] = 1368 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "6 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{9}}{6 - (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(-10 - 1\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{5}{9}}{6 - (-13)} - (-10 - 1\\frac{5}{8})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.45, bodu=57, $$\frac{9}{(2\frac{3}{7} - (-4)) \cdot (5 + 4)}=\textcolor{white}{\frac{7}{45}}$$return {
["body"] = 57,
["id"] = "WNE08p_0426_0710",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 0.15555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 45 },
["render"] = "\\frac{63}{405}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{45}",
["y"] = 7,
["z"] = 45 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - (-4)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{7} - (-4))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["render"] = "(5 + 4)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{7} - (-4)) \\cdot (5 + 4)",
["typ"] = "krat" },
["render"] = "\\frac{9}{(2\\frac{3}{7} - (-4)) \\cdot (5 + 4)}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.46, bodu=81, $$14 \cdot (14 + 12) \cdot (-17 - (2\frac{1}{6} + 4\frac{3}{9}))=\textcolor{white}{-8554}$$return {
["body"] = 81,
["id"] = "whfiGt_0426_0710",
["obtiznost"] = 0.86,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8554,
["jmenovatel"] = 1 },
["render"] = "\\frac{-17108}{2}",
["typ"] = "cislo" },
["tex"] = "-8554",
["tex_float"] = "-8554",
["x"] = -8554 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 + 12",
["typ"] = "plus" },
["render"] = "(14 + 12)",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (14 + 12)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 4\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "-17 - (2\\frac{1}{6} + 4\\frac{3}{9})",
["typ"] = "minus" },
["render"] = "(-17 - (2\\frac{1}{6} + 4\\frac{3}{9}))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (14 + 12) \\cdot (-17 - (2\\frac{1}{6} + 4\\frac{3}{9}))",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.47, bodu=61, $$-10 \cdot (6 - 13)^2 \cdot -13 \cdot 4\frac{3}{7}=\textcolor{white}{28210}$$return {
["body"] = 61,
["id"] = "kVsfGd_0426_0710",
["obtiznost"] = 0.69,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28210,
["jmenovatel"] = 1 },
["render"] = "\\frac{28210}{1}",
["typ"] = "cislo" },
["tex"] = "28210",
["x"] = 28210 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "6 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "(6 - 13)^2 \\cdot -13 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "-10 \\cdot (6 - 13)^2 \\cdot -13 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.48, bodu=91, $$-9 \cdot \frac{(\frac{-9}{8})^2}{2\frac{4}{8} + 2\frac{1}{5}}=\textcolor{white}{-2\frac{637}{1504}}$$return {
["body"] = 91,
["id"] = "syiPKJ_0426_0710",
["obtiznost"] = 0.938,
["reseni"] = {
["float"] = -2.4235372340426,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3645,
["jmenovatel"] = 1504 },
["render"] = "\\frac{-3645}{1504}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{637}{1504}",
["x"] = -2,
["y"] = 637,
["z"] = 1504 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-9}{8})^2}{2\\frac{4}{8} + 2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{(\\frac{-9}{8})^2}{2\\frac{4}{8} + 2\\frac{1}{5}}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.49, bodu=40, $$-14 \cdot 14 \cdot \frac{-9 - 16}{-9}=\textcolor{white}{-544\frac{4}{9}}$$return {
["body"] = 40,
["id"] = "lgGzx1_0426_0710",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -544.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4900,
["jmenovatel"] = 9 },
["render"] = "\\frac{-4900}{9}",
["typ"] = "cislo" },
["tex"] = "-544\\frac{4}{9}",
["x"] = -544,
["y"] = 4,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["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"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 16}{-9}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot 14 \\cdot \\frac{-9 - 16}{-9}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.5, bodu=62, $$1\frac{2}{8} + \frac{12}{8} - 10 \cdot -13=\textcolor{white}{132{,}75}$$return {
["body"] = 62,
["id"] = "O0JVXM_0426_0710",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 132.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 531,
["jmenovatel"] = 4 },
["render"] = "\\frac{531}{4}",
["typ"] = "cislo" },
["tex"] = "132\\frac{3}{4}",
["tex_float"] = "132{,}75",
["x"] = 132,
["y"] = 3,
["z"] = 4 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{8}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{8} + \\frac{12}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "10 \\cdot -13",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} + \\frac{12}{8} - 10 \\cdot -13",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.51, bodu=21, $$(10 - (-7) - 10 \cdot -8) \cdot 8=\textcolor{white}{776}$$return {
["body"] = 21,
["id"] = "97PmfM_0426_0710",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 776,
["jmenovatel"] = 1 },
["render"] = "\\frac{776}{1}",
["typ"] = "cislo" },
["tex"] = "776",
["tex_float"] = "776",
["x"] = 776 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 - (-7)",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "10 - (-7) - 10 \\cdot -8",
["typ"] = "minus" },
["render"] = "(10 - (-7) - 10 \\cdot -8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(10 - (-7) - 10 \\cdot -8) \\cdot 8",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.52, bodu=101, $$(\frac{10}{1\frac{3}{9}})^2 \cdot 2\frac{4}{9} \cdot (3 + 10)=\textcolor{white}{1787{,}5}$$return {
["body"] = 101,
["id"] = "ECfu4Y_0426_0710",
["obtiznost"] = 1.0116,
["reseni"] = {
["float"] = 1787.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3575,
["jmenovatel"] = 2 },
["render"] = "\\frac{64350}{36}",
["typ"] = "cislo" },
["tex"] = "1787\\frac{1}{2}",
["tex_float"] = "1787{,}5",
["x"] = 1787,
["y"] = 1,
["z"] = 2 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{1\\frac{3}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 + 10",
["typ"] = "plus" },
["render"] = "(3 + 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} \\cdot (3 + 10)",
["typ"] = "krat" },
["render"] = "(\\frac{10}{1\\frac{3}{9}})^2 \\cdot 2\\frac{4}{9} \\cdot (3 + 10)",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.53, bodu=109, $$(-12 + (-12) - 5)^2 + 11 - (8 - 4\frac{2}{9})=\textcolor{white}{848\frac{2}{9}}$$return {
["body"] = 109,
["id"] = "l2fGdM_0426_0710",
["obtiznost"] = 1.0668,
["reseni"] = {
["float"] = 848.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7634,
["jmenovatel"] = 9 },
["render"] = "\\frac{7634}{9}",
["typ"] = "cislo" },
["tex"] = "848\\frac{2}{9}",
["x"] = 848,
["y"] = 2,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 + (-12) - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-12) - 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-12 + (-12) - 5)^2 + 11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(8 - 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "(-12 + (-12) - 5)^2 + 11 - (8 - 4\\frac{2}{9})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.54, bodu=45, $$\frac{10}{12} \cdot 7 + (-15 - 11)=\textcolor{white}{-20\frac{1}{6}}$$return {
["body"] = 45,
["id"] = "4NldQi_0426_0710",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -20.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -121,
["jmenovatel"] = 6 },
["render"] = "\\frac{-121}{6}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{1}{6}",
["x"] = -20,
["y"] = 1,
["z"] = 6 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 - 11",
["typ"] = "minus" },
["render"] = "\\frac{10}{12} \\cdot 7 + (-15 - 11)",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.55, bodu=51, $$\frac{6}{((12 - 13)^2 \cdot (8 + (-3)))^3}=\textcolor{white}{0{,}048}$$return {
["body"] = 51,
["id"] = "g8l8Kp_0426_0710",
["obtiznost"] = 0.6012,
["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"] = "6fEWtjlP0JBHI6TrjgaQ_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 + (-3)",
["typ"] = "plus" },
["render"] = "(8 + (-3))",
["typ"] = "zavorka" },
["render"] = "(12 - 13)^2 \\cdot (8 + (-3))",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((12 - 13)^2 \\cdot (8 + (-3)))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{((12 - 13)^2 \\cdot (8 + (-3)))^3}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.56, bodu=69, $$\frac{\frac{-13}{-8}}{(3 + 1\frac{5}{12}) \cdot -5}=\textcolor{white}{-\frac{39}{530}}$$return {
["body"] = 69,
["id"] = "QTZ9tI_0426_0710",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -0.073584905660377,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 530 },
["render"] = "\\frac{156}{-2120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{39}{530}",
["y"] = -39,
["z"] = 530 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3 + 1\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(3 + 1\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(3 + 1\\frac{5}{12}) \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-13}{-8}}{(3 + 1\\frac{5}{12}) \\cdot -5}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.57, bodu=95, $$(7 - 2\frac{3}{9} - (12 + 3\frac{4}{8})) \cdot -16=\textcolor{white}{173\frac{1}{3}}$$return {
["body"] = 95,
["id"] = "zRX4S1_0426_0710",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 173.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 520,
["jmenovatel"] = 3 },
["render"] = "\\frac{1040}{6}",
["typ"] = "cislo" },
["tex"] = "173\\frac{1}{3}",
["x"] = 173,
["y"] = 1,
["z"] = 3 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.57",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(12 + 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "7 - 2\\frac{3}{9} - (12 + 3\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "(7 - 2\\frac{3}{9} - (12 + 3\\frac{4}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(7 - 2\\frac{3}{9} - (12 + 3\\frac{4}{8})) \\cdot -16",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.58, bodu=134, $$\frac{(-13 + 2\frac{5}{11}) \cdot (\frac{2\frac{2}{5}}{-10})^2}{-10}=\textcolor{white}{\frac{2088}{34375}}$$return {
["body"] = 134,
["id"] = "vrELKS_0426_0710",
["obtiznost"] = 1.2444,
["reseni"] = {
["float"] = 0.060741818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2088,
["jmenovatel"] = 34375 },
["render"] = "\\frac{-4176}{-68750}",
["typ"] = "cislo" },
["tex"] = "\\frac{2088}{34375}",
["y"] = 2088,
["z"] = 34375 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{2}{5}}{-10})^2",
["typ"] = "mocnina" },
["render"] = "(-13 + 2\\frac{5}{11}) \\cdot (\\frac{2\\frac{2}{5}}{-10})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 2\\frac{5}{11}) \\cdot (\\frac{2\\frac{2}{5}}{-10})^2}{-10}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.59, bodu=83, $$3\frac{5}{6} \cdot (\frac{13}{7})^2 \cdot 7=\textcolor{white}{92\frac{23}{42}}$$return {
["body"] = 83,
["id"] = "ysgNoy_0426_0710",
["obtiznost"] = 0.8772,
["reseni"] = {
["float"] = 92.547619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3887,
["jmenovatel"] = 42 },
["render"] = "\\frac{3887}{42}",
["typ"] = "cislo" },
["tex"] = "92\\frac{23}{42}",
["x"] = 92,
["y"] = 23,
["z"] = 42 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{13}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{7})^2 \\cdot 7",
["typ"] = "krat" },
["render"] = "3\\frac{5}{6} \\cdot (\\frac{13}{7})^2 \\cdot 7",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.6, bodu=74, $$2\frac{3}{8} - (11 + (-15)) \cdot (\frac{-11}{15} - 13)=\textcolor{white}{-52\frac{67}{120}}$$return {
["body"] = 74,
["id"] = "pCab2O_0426_0710",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -52.558333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6307,
["jmenovatel"] = 120 },
["render"] = "\\frac{-6307}{120}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{67}{120}",
["x"] = -52,
["y"] = 67,
["z"] = 120 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 + (-15)",
["typ"] = "plus" },
["render"] = "(11 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{15} - 13",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{15} - 13)",
["typ"] = "zavorka" },
["render"] = "(11 + (-15)) \\cdot (\\frac{-11}{15} - 13)",
["typ"] = "krat" },
["render"] = "2\\frac{3}{8} - (11 + (-15)) \\cdot (\\frac{-11}{15} - 13)",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.61, bodu=129, $$4\frac{2}{7} - (14 - (4 - (-16))) + 1\frac{4}{8} \cdot 3\frac{4}{13}=\textcolor{white}{15\frac{45}{182}}$$return {
["body"] = 129,
["id"] = "akcM0r_0426_0710",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 15.247252747253,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2775,
["jmenovatel"] = 182 },
["render"] = "\\frac{2775}{182}",
["typ"] = "cislo" },
["tex"] = "15\\frac{45}{182}",
["x"] = 15,
["y"] = 45,
["z"] = 182 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4 - (-16)",
["typ"] = "minus" },
["render"] = "(4 - (-16))",
["typ"] = "zavorka" },
["render"] = "14 - (4 - (-16))",
["typ"] = "minus" },
["render"] = "(14 - (4 - (-16)))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} - (14 - (4 - (-16)))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} \\cdot 3\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} - (14 - (4 - (-16))) + 1\\frac{4}{8} \\cdot 3\\frac{4}{13}",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.62, bodu=139, $$(-13 + 4\frac{3}{6} + 11)^4 + \frac{10}{\frac{1\frac{4}{8}}{9}}=\textcolor{white}{99\frac{1}{16}}$$return {
["body"] = 139,
["id"] = "JpjkoC_0426_0710",
["obtiznost"] = 1.2764,
["reseni"] = {
["float"] = 99.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1585,
["jmenovatel"] = 16 },
["render"] = "\\frac{1585}{16}",
["typ"] = "cislo" },
["tex"] = "99\\frac{1}{16}",
["x"] = 99,
["y"] = 1,
["z"] = 16 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 11",
["typ"] = "plus" },
["render"] = "-13 + 4\\frac{3}{6} + 11",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-13 + 4\\frac{3}{6} + 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{1\\frac{4}{8}}{9}}",
["typ"] = "lomeno" },
["render"] = "(-13 + 4\\frac{3}{6} + 11)^4 + \\frac{10}{\\frac{1\\frac{4}{8}}{9}}",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.63, bodu=108, $$(3\frac{1}{8} - 13) \cdot (3\frac{4}{9} \cdot -9 + (-13 + 10)^4)=\textcolor{white}{-493{,}75}$$return {
["body"] = 108,
["id"] = "YfyG1j_0426_0710",
["obtiznost"] = 1.0628,
["reseni"] = {
["float"] = -493.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1975,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3950}{8}",
["typ"] = "cislo" },
["tex"] = "-493\\frac{3}{4}",
["tex_float"] = "-493{,}75",
["x"] = -493,
["y"] = 3,
["z"] = 4 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 13",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-13 + 10)^4",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{9} \\cdot -9 + (-13 + 10)^4",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{9} \\cdot -9 + (-13 + 10)^4)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{1}{8} - 13) \\cdot (3\\frac{4}{9} \\cdot -9 + (-13 + 10)^4)",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.64, bodu=107, $$\frac{-11 \cdot (3\frac{1}{6} + 4\frac{2}{10})}{(\frac{3\frac{2}{2}}{6})^3}=\textcolor{white}{-273\frac{39}{80}}$$return {
["body"] = 107,
["id"] = "mUbujh_0426_0710",
["obtiznost"] = 1.054,
["reseni"] = {
["float"] = -273.4875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21879,
["jmenovatel"] = 80 },
["render"] = "\\frac{-65637}{240}",
["typ"] = "cislo" },
["tex"] = "-273\\frac{39}{80}",
["x"] = -273,
["y"] = 39,
["z"] = 80 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{6} + 4\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (3\\frac{1}{6} + 4\\frac{2}{10})",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{2}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3\\frac{2}{2}}{6})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-11 \\cdot (3\\frac{1}{6} + 4\\frac{2}{10})}{(\\frac{3\\frac{2}{2}}{6})^3}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.65, bodu=85, $$(-7 + 7)^2 - ((\frac{-10}{(10 + (-11))^2})^2 + (-12) + 2\frac{3}{11})=\textcolor{white}{-90\frac{3}{11}}$$return {
["body"] = 85,
["id"] = "ADasnS_0426_0710",
["obtiznost"] = 0.8916,
["reseni"] = {
["float"] = -90.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -993,
["jmenovatel"] = 11 },
["render"] = "\\frac{-993}{11}",
["typ"] = "cislo" },
["tex"] = "-90\\frac{3}{11}",
["x"] = -90,
["y"] = 3,
["z"] = 11 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-7 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(10 + (-11))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10}{(10 + (-11))^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{(10 + (-11))^2})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{(10 + (-11))^2})^2 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{(10 + (-11))^2})^2 + (-12) + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "((\\frac{-10}{(10 + (-11))^2})^2 + (-12) + 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "(-7 + 7)^2 - ((\\frac{-10}{(10 + (-11))^2})^2 + (-12) + 2\\frac{3}{11})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.66, bodu=108, $$\frac{-7 \cdot 17}{13 - 4\frac{3}{8} \cdot 3\frac{3}{5}}=\textcolor{white}{43\frac{3}{11}}$$return {
["body"] = 108,
["id"] = "BrcKTm_0426_0710",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 43.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 476,
["jmenovatel"] = 11 },
["render"] = "\\frac{-476}{-11}",
["typ"] = "cislo" },
["tex"] = "43\\frac{3}{11}",
["x"] = 43,
["y"] = 3,
["z"] = 11 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 3\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "13 - 4\\frac{3}{8} \\cdot 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{-7 \\cdot 17}{13 - 4\\frac{3}{8} \\cdot 3\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.67, bodu=138, $$\frac{(2\frac{5}{8} - 2\frac{5}{9}) \cdot (2\frac{5}{12} - (-10))}{18}=\textcolor{white}{\frac{745}{15552}}$$return {
["body"] = 138,
["id"] = "lZnlkV_0426_0710",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 0.047903806584362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 745,
["jmenovatel"] = 15552 },
["render"] = "\\frac{745}{15552}",
["typ"] = "cislo" },
["tex"] = "\\frac{745}{15552}",
["y"] = 745,
["z"] = 15552 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - (-10)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{12} - (-10))",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{8} - 2\\frac{5}{9}) \\cdot (2\\frac{5}{12} - (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{5}{8} - 2\\frac{5}{9}) \\cdot (2\\frac{5}{12} - (-10))}{18}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.68, bodu=199, $$19 \cdot 4\frac{2}{6} \cdot (4\frac{3}{8} - 8)^2 \cdot 2\frac{1}{4}=\textcolor{white}{2434\frac{77}{256}}$$return {
["body"] = 199,
["id"] = "XP5S1s_0426_0710",
["obtiznost"] = 1.642,
["reseni"] = {
["float"] = 2434.30078125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 623181,
["jmenovatel"] = 256 },
["render"] = "\\frac{623181}{256}",
["typ"] = "cislo" },
["tex"] = "2434\\frac{77}{256}",
["x"] = 2434,
["y"] = 77,
["z"] = 256 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{8} - 8)^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{6} \\cdot (4\\frac{3}{8} - 8)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot (4\\frac{3}{8} - 8)^2 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "19 \\cdot 4\\frac{2}{6} \\cdot (4\\frac{3}{8} - 8)^2 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.69, bodu=112, $$\frac{\frac{-12}{16}}{2\frac{2}{6}} \cdot (-5 + 2\frac{3}{9})=\textcolor{white}{\frac{6}{7}}$$return {
["body"] = 112,
["id"] = "Pzpuxh_0426_0710",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 0.85714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 7 },
["render"] = "\\frac{72}{84}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{7}",
["y"] = 6,
["z"] = 7 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-12}{16}}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-5 + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(-5 + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{-12}{16}}{2\\frac{2}{6}} \\cdot (-5 + 2\\frac{3}{9})",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.7, bodu=143, $$\frac{\frac{2\frac{2}{6} + (-10)}{7}}{4\frac{1}{4} \cdot 4\frac{5}{7}}=\textcolor{white}{-\frac{92}{1683}}$$return {
["body"] = 143,
["id"] = "YflRPl_0426_0710",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -0.054664289958408,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 1683 },
["render"] = "\\frac{-644}{11781}",
["typ"] = "cislo" },
["tex"] = "-\\frac{92}{1683}",
["y"] = -92,
["z"] = 1683 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6} + (-10)}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{2\\frac{2}{6} + (-10)}{7}}{4\\frac{1}{4} \\cdot 4\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.71, bodu=211, $$\frac{3\frac{5}{7} - 1\frac{1}{2}}{2\frac{3}{7}} - 1\frac{3}{6} \cdot 1\frac{1}{6}=\textcolor{white}{-\frac{57}{68}}$$return {
["body"] = 211,
["id"] = "fUT2xz_0426_0710",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -0.83823529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 68 },
["render"] = "\\frac{-114}{136}",
["typ"] = "cislo" },
["tex"] = "-\\frac{57}{68}",
["y"] = -57,
["z"] = 68 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - 1\\frac{1}{2}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{7} - 1\\frac{1}{2}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{7} - 1\\frac{1}{2}}{2\\frac{3}{7}} - 1\\frac{3}{6} \\cdot 1\\frac{1}{6}",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.72, bodu=178, $$\frac{-14 \cdot (4\frac{5}{11} + 4\frac{5}{10} - \frac{4\frac{3}{8}}{9})}{2\frac{3}{5}}=\textcolor{white}{-45\frac{3085}{5148}}$$return {
["body"] = 178,
["id"] = "w49vWj_0426_0710",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -45.599261849262,
["objekt"] = {
["hodnota"] = {
["citatel"] = -234745,
["jmenovatel"] = 5148 },
["render"] = "\\frac{-234745}{5148}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{3085}{5148}",
["x"] = -45,
["y"] = 3085,
["z"] = 5148 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{10} - \\frac{4\\frac{3}{8}}{9}",
["typ"] = "minus" },
["render"] = "4\\frac{5}{11} + 4\\frac{5}{10} - \\frac{4\\frac{3}{8}}{9}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + 4\\frac{5}{10} - \\frac{4\\frac{3}{8}}{9})",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (4\\frac{5}{11} + 4\\frac{5}{10} - \\frac{4\\frac{3}{8}}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot (4\\frac{5}{11} + 4\\frac{5}{10} - \\frac{4\\frac{3}{8}}{9})}{2\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.73, bodu=148, $$-11 \cdot \frac{2\frac{4}{12}}{\frac{-8}{2\frac{1}{10}} + 1\frac{4}{13} + (-5)}=\textcolor{white}{3\frac{863}{2048}}$$return {
["body"] = 148,
["id"] = "zp6Kbc_0426_0710",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 3.42138671875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7007,
["jmenovatel"] = 2048 },
["render"] = "\\frac{7007}{2048}",
["typ"] = "cislo" },
["tex"] = "3\\frac{863}{2048}",
["x"] = 3,
["y"] = 863,
["z"] = 2048 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{1}{10}} + 1\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{1}{10}} + 1\\frac{4}{13} + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{12}}{\\frac{-8}{2\\frac{1}{10}} + 1\\frac{4}{13} + (-5)}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{2\\frac{4}{12}}{\\frac{-8}{2\\frac{1}{10}} + 1\\frac{4}{13} + (-5)}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.74, bodu=119, $$\frac{3\frac{4}{12} + 4\frac{3}{3}}{4\frac{5}{12} - (11 + (-16))} - 14=\textcolor{white}{-13\frac{13}{113}}$$return {
["body"] = 119,
["id"] = "emuyPE_0426_0710",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -13.115044247788,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1482,
["jmenovatel"] = 113 },
["render"] = "\\frac{-1482}{113}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{13}{113}",
["x"] = -13,
["y"] = 13,
["z"] = 113 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} + 4\\frac{3}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 + (-16)",
["typ"] = "plus" },
["render"] = "(11 + (-16))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} - (11 + (-16))",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{12} + 4\\frac{3}{3}}{4\\frac{5}{12} - (11 + (-16))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{12} + 4\\frac{3}{3}}{4\\frac{5}{12} - (11 + (-16))} - 14",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.75, bodu=172, $$\frac{4\frac{3}{5}}{1\frac{2}{5} + 1\frac{1}{6}} - (-10 - (-12 - 6)^2)=\textcolor{white}{335\frac{61}{77}}$$return {
["body"] = 172,
["id"] = "suP9d0_0426_0710",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 335.79220779221,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25856,
["jmenovatel"] = 77 },
["render"] = "\\frac{25856}{77}",
["typ"] = "cislo" },
["tex"] = "335\\frac{61}{77}",
["x"] = 335,
["y"] = 61,
["z"] = 77 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 1\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{5}}{1\\frac{2}{5} + 1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-12 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - 6)^2",
["typ"] = "mocnina" },
["render"] = "-10 - (-12 - 6)^2",
["typ"] = "minus" },
["render"] = "(-10 - (-12 - 6)^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{5}}{1\\frac{2}{5} + 1\\frac{1}{6}} - (-10 - (-12 - 6)^2)",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.76, bodu=185, $$3\frac{5}{7} + 1\frac{4}{10} - (3\frac{4}{6} - 12 + 8 \cdot 4\frac{2}{9})=\textcolor{white}{-20\frac{104}{315}}$$return {
["body"] = 185,
["id"] = "pq6qMG_0426_0710",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -20.330158730159,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6404,
["jmenovatel"] = 315 },
["render"] = "\\frac{-6404}{315}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{104}{315}",
["x"] = -20,
["y"] = 104,
["z"] = 315 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} + 1\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{6} - 12 + 8 \\cdot 4\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{6} - 12 + 8 \\cdot 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{7} + 1\\frac{4}{10} - (3\\frac{4}{6} - 12 + 8 \\cdot 4\\frac{2}{9})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.77, bodu=83, $$\frac{12 - 8}{\frac{(\frac{11}{12})^2}{14}}=\textcolor{white}{66\frac{78}{121}}$$return {
["body"] = 83,
["id"] = "LFXwM9_0426_0710",
["obtiznost"] = 0.876,
["reseni"] = {
["float"] = 66.644628099174,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8064,
["jmenovatel"] = 121 },
["render"] = "\\frac{8064}{121}",
["typ"] = "cislo" },
["tex"] = "66\\frac{78}{121}",
["x"] = 66,
["y"] = 78,
["z"] = 121 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{11}{12})^2}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 - 8}{\\frac{(\\frac{11}{12})^2}{14}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.78, bodu=97, $$-8 \cdot \frac{\frac{16}{13} + 19}{2\frac{4}{6}}=\textcolor{white}{-60\frac{9}{13}}$$return {
["body"] = 97,
["id"] = "LhhHO1_0426_0710",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -60.692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -789,
["jmenovatel"] = 13 },
["render"] = "\\frac{-6312}{104}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{9}{13}",
["x"] = -60,
["y"] = 9,
["z"] = 13 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{16}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{16}{13} + 19",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{16}{13} + 19}{2\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{\\frac{16}{13} + 19}{2\\frac{4}{6}}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.79, bodu=126, $$4\frac{1}{10} \cdot \frac{\frac{-10}{1\frac{5}{12}} - 18}{13}=\textcolor{white}{-7\frac{998}{1105}}$$return {
["body"] = 126,
["id"] = "9Jgbhj_0426_0710",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -7.9031674208145,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8733,
["jmenovatel"] = 1105 },
["render"] = "\\frac{-17466}{2210}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{998}{1105}",
["x"] = -7,
["y"] = 998,
["z"] = 1105 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{5}{12}} - 18",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{1\\frac{5}{12}} - 18}{13}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{10} \\cdot \\frac{\\frac{-10}{1\\frac{5}{12}} - 18}{13}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.8, bodu=160, $$\frac{\frac{(-8 + 4\frac{4}{4})^3}{16} + 4\frac{1}{9}}{\frac{13 + 4\frac{3}{11}}{4\frac{5}{12}}}=\textcolor{white}{\frac{203467}{328320}}$$return {
["body"] = 160,
["id"] = "2BRIJr_0426_0710",
["obtiznost"] = 1.4112,
["reseni"] = {
["float"] = 0.61972161306043,
["objekt"] = {
["hodnota"] = {
["citatel"] = 203467,
["jmenovatel"] = 328320 },
["render"] = "\\frac{203467}{328320}",
["typ"] = "cislo" },
["tex"] = "\\frac{203467}{328320}",
["y"] = 203467,
["z"] = 328320 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{4}{4}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 4\\frac{4}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 + 4\\frac{4}{4})^3}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 + 4\\frac{4}{4})^3}{16} + 4\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 4\\frac{3}{11}}{4\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{(-8 + 4\\frac{4}{4})^3}{16} + 4\\frac{1}{9}}{\\frac{13 + 4\\frac{3}{11}}{4\\frac{5}{12}}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.81, bodu=160, $$\frac{-14}{\frac{15 + 2\frac{5}{7}}{\frac{2\frac{3}{12}}{\frac{13}{2\frac{2}{10}}}}}=\textcolor{white}{-\frac{4851}{16120}}$$return {
["body"] = 160,
["id"] = "EUCplu_0426_0710",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -0.30093052109181,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4851,
["jmenovatel"] = 16120 },
["render"] = "\\frac{-9702}{32240}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4851}{16120}",
["y"] = -4851,
["z"] = 16120 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{3}{12}}{\\frac{13}{2\\frac{2}{10}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15 + 2\\frac{5}{7}}{\\frac{2\\frac{3}{12}}{\\frac{13}{2\\frac{2}{10}}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{\\frac{15 + 2\\frac{5}{7}}{\\frac{2\\frac{3}{12}}{\\frac{13}{2\\frac{2}{10}}}}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.82, bodu=162, $$-9 \cdot \frac{-16}{4\frac{3}{11}} \cdot 1\frac{1}{7} \cdot 2\frac{3}{9}=\textcolor{white}{89\frac{41}{47}}$$return {
["body"] = 162,
["id"] = "4gAE8a_0426_0710",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 89.872340425532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4224,
["jmenovatel"] = 47 },
["render"] = "\\frac{12672}{141}",
["typ"] = "cislo" },
["tex"] = "89\\frac{41}{47}",
["x"] = 89,
["y"] = 41,
["z"] = 47 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{4\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{-16}{4\\frac{3}{11}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot 2\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "-9 \\cdot \\frac{-16}{4\\frac{3}{11}} \\cdot 1\\frac{1}{7} \\cdot 2\\frac{3}{9}",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.83, bodu=163, $$\frac{(-21 - 14) \cdot (3\frac{1}{8} - (3\frac{1}{3} + 12))}{2\frac{4}{8} + (-20)}=\textcolor{white}{-24\frac{5}{12}}$$return {
["body"] = 163,
["id"] = "hKUPI5_0426_0710",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -24.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -293,
["jmenovatel"] = 12 },
["render"] = "\\frac{20510}{-840}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{5}{12}",
["x"] = -24,
["y"] = 5,
["z"] = 12 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-21 - 14",
["typ"] = "minus" },
["render"] = "(-21 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + 12",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{3} + 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{8} - (3\\frac{1}{3} + 12)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - (3\\frac{1}{3} + 12))",
["typ"] = "zavorka" },
["render"] = "(-21 - 14) \\cdot (3\\frac{1}{8} - (3\\frac{1}{3} + 12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + (-20)",
["typ"] = "plus" },
["render"] = "\\frac{(-21 - 14) \\cdot (3\\frac{1}{8} - (3\\frac{1}{3} + 12))}{2\\frac{4}{8} + (-20)}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.84, bodu=165, $$\frac{4\frac{3}{5}}{(3\frac{3}{5} + 13) \cdot \frac{-13 - 4\frac{2}{8}}{20}}=\textcolor{white}{-\frac{80}{249}}$$return {
["body"] = 165,
["id"] = "zMjOfu_0426_0710",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.32128514056225,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 249 },
["render"] = "\\frac{9200}{-28635}",
["typ"] = "cislo" },
["tex"] = "-\\frac{80}{249}",
["y"] = -80,
["z"] = 249 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + 13",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{5} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-13 - 4\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 4\\frac{2}{8}}{20}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{3}{5} + 13) \\cdot \\frac{-13 - 4\\frac{2}{8}}{20}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{5}}{(3\\frac{3}{5} + 13) \\cdot \\frac{-13 - 4\\frac{2}{8}}{20}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.85, bodu=200, $$\frac{4\frac{2}{7} - 4\frac{3}{10} \cdot 10}{\frac{4\frac{1}{7} \cdot 3\frac{5}{11}}{-7}}=\textcolor{white}{18\frac{1031}{1102}}$$return {
["body"] = 200,
["id"] = "CfTIj8_0426_0710",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = 18.93557168784,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20867,
["jmenovatel"] = 1102 },
["render"] = "\\frac{-146069}{-7714}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1031}{1102}",
["x"] = 18,
["y"] = 1031,
["z"] = 1102 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} \\cdot 10",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} - 4\\frac{3}{10} \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7} \\cdot 3\\frac{5}{11}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{7} - 4\\frac{3}{10} \\cdot 10}{\\frac{4\\frac{1}{7} \\cdot 3\\frac{5}{11}}{-7}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.86, bodu=238, $$(1\frac{2}{8} - (-14 - 2\frac{2}{6})) \cdot (2\frac{4}{8} + 2\frac{4}{11} - 1\frac{1}{8} + (-13))=\textcolor{white}{-162\frac{893}{1056}}$$return {
["body"] = 238,
["id"] = "TIZrZX_0426_0710",
["obtiznost"] = 1.86,
["reseni"] = {
["float"] = -162.84564393939,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171965,
["jmenovatel"] = 1056 },
["render"] = "\\frac{-171965}{1056}",
["typ"] = "cislo" },
["tex"] = "-162\\frac{893}{1056}",
["x"] = -162,
["y"] = 893,
["z"] = 1056 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-14 - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-14 - 2\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} - (-14 - 2\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{8} - (-14 - 2\\frac{2}{6}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 1\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 1\\frac{1}{8} + (-13)",
["typ"] = "plus" },
["render"] = "2\\frac{4}{8} + 2\\frac{4}{11} - 1\\frac{1}{8} + (-13)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{8} + 2\\frac{4}{11} - 1\\frac{1}{8} + (-13))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{8} - (-14 - 2\\frac{2}{6})) \\cdot (2\\frac{4}{8} + 2\\frac{4}{11} - 1\\frac{1}{8} + (-13))",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.87, bodu=154, $$-13 + 2\frac{2}{6} \cdot \frac{(\frac{-21}{-17})^2}{(18 + (-15))^3}=\textcolor{white}{-12\frac{2258}{2601}}$$return {
["body"] = 154,
["id"] = "NA7l8z_0426_0710",
["obtiznost"] = 1.3732,
["reseni"] = {
["float"] = -12.868127643214,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33470,
["jmenovatel"] = 2601 },
["render"] = "\\frac{-33470}{2601}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2258}{2601}",
["x"] = -12,
["y"] = 2258,
["z"] = 2601 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{-17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-21}{-17})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "18 + (-15)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(18 + (-15))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{-21}{-17})^2}{(18 + (-15))^3}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{6} \\cdot \\frac{(\\frac{-21}{-17})^2}{(18 + (-15))^3}",
["typ"] = "krat" },
["render"] = "-13 + 2\\frac{2}{6} \\cdot \\frac{(\\frac{-21}{-17})^2}{(18 + (-15))^3}",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.88, bodu=208, $$(-5 + 3\frac{1}{3})^2 + 2\frac{3}{11} + \frac{\frac{-13}{4\frac{2}{9} + 18}}{4\frac{1}{6}}=\textcolor{white}{4\frac{225251}{247500}}$$return {
["body"] = 208,
["id"] = "fV5McO_0426_0710",
["obtiznost"] = 1.6936,
["reseni"] = {
["float"] = 4.9101050505051,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1215251,
["jmenovatel"] = 247500 },
["render"] = "\\frac{1215251}{247500}",
["typ"] = "cislo" },
["tex"] = "4\\frac{225251}{247500}",
["x"] = 4,
["y"] = 225251,
["z"] = 247500 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-5 + 3\\frac{1}{3}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 3\\frac{1}{3})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(-5 + 3\\frac{1}{3})^2 + 2\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + 18",
["typ"] = "plus" },
["render"] = "\\frac{-13}{4\\frac{2}{9} + 18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{4\\frac{2}{9} + 18}}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "(-5 + 3\\frac{1}{3})^2 + 2\\frac{3}{11} + \\frac{\\frac{-13}{4\\frac{2}{9} + 18}}{4\\frac{1}{6}}",
["typ"] = "plus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.89, bodu=92, $$\frac{\frac{\frac{5 + (-11)}{-13}}{(14 + (-19))^3}}{-7}=\textcolor{white}{\frac{6}{11375}}$$return {
["body"] = 92,
["id"] = "9hdmWp_0426_0710",
["obtiznost"] = 0.9404,
["reseni"] = {
["float"] = 0.00052747252747253,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 11375 },
["render"] = "\\frac{-6}{-11375}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{11375}",
["y"] = 6,
["z"] = 11375 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "5 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{5 + (-11)}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "14 + (-19)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(14 + (-19))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{5 + (-11)}{-13}}{(14 + (-19))^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{5 + (-11)}{-13}}{(14 + (-19))^3}}{-7}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.9, bodu=143, $$\frac{\frac{-5}{-9}}{\frac{17}{12}} - (2\frac{3}{8} + 4\frac{5}{14})=\textcolor{white}{-6\frac{971}{2856}}$$return {
["body"] = 143,
["id"] = "hp2cT8_0426_0710",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -6.3399859943978,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18107,
["jmenovatel"] = 2856 },
["render"] = "\\frac{-18107}{2856}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{971}{2856}",
["x"] = -6,
["y"] = 971,
["z"] = 2856 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{17}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-5}{-9}}{\\frac{17}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 4\\frac{5}{14}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} + 4\\frac{5}{14})",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{-5}{-9}}{\\frac{17}{12}} - (2\\frac{3}{8} + 4\\frac{5}{14})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.91, bodu=144, $$\frac{-11}{\frac{22}{\frac{10 - 3\frac{5}{6}}{-9 \cdot 3\frac{3}{12}}}}=\textcolor{white}{\frac{37}{351}}$$return {
["body"] = 144,
["id"] = "KLOTR1_0426_0710",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 0.10541310541311,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 351 },
["render"] = "\\frac{-407}{-3861}",
["typ"] = "cislo" },
["tex"] = "\\frac{37}{351}",
["y"] = 37,
["z"] = 351 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{5}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "\\frac{10 - 3\\frac{5}{6}}{-9 \\cdot 3\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{22}{\\frac{10 - 3\\frac{5}{6}}{-9 \\cdot 3\\frac{3}{12}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{22}{\\frac{10 - 3\\frac{5}{6}}{-9 \\cdot 3\\frac{3}{12}}}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.92, bodu=146, $$\frac{-14 - (14 + (-17 \cdot 1\frac{1}{12}))}{\frac{5}{3\frac{2}{8}}}=\textcolor{white}{-6\frac{11}{48}}$$return {
["body"] = 146,
["id"] = "hoWDKf_0426_0710",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -6.2291666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -299,
["jmenovatel"] = 48 },
["render"] = "\\frac{-1495}{240}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{11}{48}",
["x"] = -6,
["y"] = 11,
["z"] = 48 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 12 },
["render"] = "1\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 1\\frac{1}{12}",
["typ"] = "krat" },
["render"] = "14 + (-17 \\cdot 1\\frac{1}{12})",
["typ"] = "plus" },
["render"] = "(14 + (-17 \\cdot 1\\frac{1}{12}))",
["typ"] = "zavorka" },
["render"] = "-14 - (14 + (-17 \\cdot 1\\frac{1}{12}))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14 - (14 + (-17 \\cdot 1\\frac{1}{12}))}{\\frac{5}{3\\frac{2}{8}}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.93, bodu=180, $$(-12 - 2\frac{2}{3}) \cdot -20 \cdot 15 \cdot (4\frac{1}{9} - 2\frac{1}{2})=\textcolor{white}{7088\frac{8}{9}}$$return {
["body"] = 180,
["id"] = "YORU60_0426_0710",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 7088.8888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63800,
["jmenovatel"] = 9 },
["render"] = "\\frac{127600}{18}",
["typ"] = "cislo" },
["tex"] = "7088\\frac{8}{9}",
["x"] = 7088,
["y"] = 8,
["z"] = 9 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(-12 - 2\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "(-12 - 2\\frac{2}{3}) \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} - 2\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{9} - 2\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (4\\frac{1}{9} - 2\\frac{1}{2})",
["typ"] = "krat" },
["render"] = "(-12 - 2\\frac{2}{3}) \\cdot -20 \\cdot 15 \\cdot (4\\frac{1}{9} - 2\\frac{1}{2})",
["typ"] = "krat" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.94, bodu=253, $$\frac{4\frac{1}{7} + 3\frac{1}{7}}{3\frac{2}{9}} - 1\frac{1}{10} \cdot (3\frac{2}{12} - (-16))=\textcolor{white}{-18\frac{2003}{2436}}$$return {
["body"] = 253,
["id"] = "8A2QkL_0426_0710",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = -18.822249589491,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45851,
["jmenovatel"] = 2436 },
["render"] = "\\frac{-45851}{2436}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{2003}{2436}",
["x"] = -18,
["y"] = 2003,
["z"] = 2436 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 3\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7} + 3\\frac{1}{7}}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{12} - (-16)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{12} - (-16))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{10} \\cdot (3\\frac{2}{12} - (-16))",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{7} + 3\\frac{1}{7}}{3\\frac{2}{9}} - 1\\frac{1}{10} \\cdot (3\\frac{2}{12} - (-16))",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.95, bodu=120, $$\frac{1\frac{3}{6} \cdot -15 \cdot -10 \cdot 18}{15}=\textcolor{white}{270}$$return {
["body"] = 120,
["id"] = "oqm88W_0426_0710",
["obtiznost"] = 1.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 270,
["jmenovatel"] = 1 },
["render"] = "\\frac{4050}{15}",
["typ"] = "cislo" },
["tex"] = "270",
["x"] = 270 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -10 \\cdot 18",
["typ"] = "krat" },
["render"] = "1\\frac{3}{6} \\cdot -15 \\cdot -10 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6} \\cdot -15 \\cdot -10 \\cdot 18}{15}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.96, bodu=185, $$\frac{\frac{\frac{1\frac{4}{14}}{24}}{3\frac{3}{11} + 9 - (-12)}}{3\frac{5}{14}}=\textcolor{white}{\frac{11}{16732}}$$return {
["body"] = 185,
["id"] = "II5aqC_0426_0710",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 0.00065742290222328,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 16732 },
["render"] = "\\frac{154}{234248}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{16732}",
["y"] = 11,
["z"] = 16732 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{14}}{24}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 - (-12)",
["typ"] = "minus" },
["render"] = "3\\frac{3}{11} + 9 - (-12)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{4}{14}}{24}}{3\\frac{3}{11} + 9 - (-12)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{4}{14}}{24}}{3\\frac{3}{11} + 9 - (-12)}}{3\\frac{5}{14}}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.97, bodu=187, $$\frac{\frac{(-9 - 3\frac{3}{13}) \cdot 4\frac{2}{8}}{16 + 18}}{1\frac{2}{12} + 13}=\textcolor{white}{-\frac{477}{4420}}$$return {
["body"] = 187,
["id"] = "C9XGAW_0426_0710",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -0.1079185520362,
["objekt"] = {
["hodnota"] = {
["citatel"] = -477,
["jmenovatel"] = 4420 },
["render"] = "\\frac{-954}{8840}",
["typ"] = "cislo" },
["tex"] = "-\\frac{477}{4420}",
["y"] = -477,
["z"] = 4420 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "-9 - 3\\frac{3}{13}",
["typ"] = "minus" },
["render"] = "(-9 - 3\\frac{3}{13})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(-9 - 3\\frac{3}{13}) \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "16 + 18",
["typ"] = "plus" },
["render"] = "\\frac{(-9 - 3\\frac{3}{13}) \\cdot 4\\frac{2}{8}}{16 + 18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{12} + 13",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{(-9 - 3\\frac{3}{13}) \\cdot 4\\frac{2}{8}}{16 + 18}}{1\\frac{2}{12} + 13}",
["typ"] = "lomeno" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.98, bodu=299, $$2\frac{3}{8} - ((4\frac{5}{9} - (1\frac{2}{7} - 13 + 1\frac{1}{7})) \cdot 1\frac{5}{12} + 4\frac{5}{11})=\textcolor{white}{-23\frac{8473}{16632}}$$return {
["body"] = 299,
["id"] = "GeSmlm_0426_0710",
["obtiznost"] = 2.18,
["reseni"] = {
["float"] = -23.50943963444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -391009,
["jmenovatel"] = 16632 },
["render"] = "\\frac{-1564036}{66528}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{8473}{16632}",
["x"] = -23,
["y"] = 8473,
["z"] = 16632 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 13 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} - 13 + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7})) \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7})) \\cdot 1\\frac{5}{12} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "((4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7})) \\cdot 1\\frac{5}{12} + 4\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} - ((4\\frac{5}{9} - (1\\frac{2}{7} - 13 + 1\\frac{1}{7})) \\cdot 1\\frac{5}{12} + 4\\frac{5}{11})",
["typ"] = "minus" } }
seed: 6fEWtjlP0JBHI6TrjgaQ_0.99, bodu=225, $$(\frac{4\frac{2}{10}}{13} - 3\frac{2}{10}) \cdot 2\frac{3}{8} - (-22 \cdot 3\frac{3}{7})=\textcolor{white}{68\frac{2169}{3640}}$$return {
["body"] = 225,
["id"] = "gpaElA_0426_0710",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 68.595879120879,
["objekt"] = {
["hodnota"] = {
["citatel"] = 249689,
["jmenovatel"] = 3640 },
["render"] = "\\frac{249689}{3640}",
["typ"] = "cislo" },
["tex"] = "68\\frac{2169}{3640}",
["x"] = 68,
["y"] = 2169,
["z"] = 3640 },
["seed"] = "6fEWtjlP0JBHI6TrjgaQ_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{10}}{13} - 3\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{2}{10}}{13} - 3\\frac{2}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{2}{10}}{13} - 3\\frac{2}{10}) \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-22 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "(\\frac{4\\frac{2}{10}}{13} - 3\\frac{2}{10}) \\cdot 2\\frac{3}{8} - (-22 \\cdot 3\\frac{3}{7})",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
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celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 