- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: IUKHYp8LzeDs26cxiECl_0, bodu=10, $$\frac{6 \cdot (9 + 9)}{-7}=\textcolor{white}{-15\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "aotXug_0825_0302",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -15.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 7 },
["render"] = "\\frac{108}{-7}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{3}{7}",
["x"] = -15,
["y"] = 3,
["z"] = 7 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "(9 + 9)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (9 + 9)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot (9 + 9)}{-7}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.01, bodu=24, $$(\frac{6}{-6 - 4})^4 - 9=\textcolor{white}{-8\frac{544}{625}}$$return {
["body"] = 24,
["id"] = "y6LJ8Q_0825_0302",
["obtiznost"] = 0.2924,
["reseni"] = {
["float"] = -8.8704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5544,
["jmenovatel"] = 625 },
["render"] = "\\frac{-5544}{625}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{544}{625}",
["x"] = -8,
["y"] = 544,
["z"] = 625 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 - 4",
["typ"] = "minus" },
["render"] = "\\frac{6}{-6 - 4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{-6 - 4})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{-6 - 4})^4 - 9",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.02, bodu=5, $$9 \cdot 9 \cdot 6=\textcolor{white}{486}$$return {
["body"] = 5,
["id"] = "44JX5b_0825_0302",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 486,
["jmenovatel"] = 1 },
["render"] = "\\frac{486}{1}",
["typ"] = "cislo" },
["tex"] = "486",
["x"] = 486 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9 \\cdot 6",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.03, bodu=10, $$6 + 5 + \frac{10}{7}=\textcolor{white}{12\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "mzqoKk_0825_0302",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 12.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 87,
["jmenovatel"] = 7 },
["render"] = "\\frac{87}{7}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{7}",
["x"] = 12,
["y"] = 3,
["z"] = 7 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "6 + 5 + \\frac{10}{7}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.04, bodu=20, $$4 \cdot 10 + (-7 - 2\frac{2}{5})=\textcolor{white}{30{,}6}$$return {
["body"] = 20,
["id"] = "7WMBf7_0825_0302",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 30.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 153,
["jmenovatel"] = 5 },
["render"] = "\\frac{153}{5}",
["typ"] = "cislo" },
["tex"] = "30\\frac{3}{5}",
["tex_float"] = "30{,}6",
["x"] = 30,
["y"] = 3,
["z"] = 5 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.04",
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-7 - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "4 \\cdot 10 + (-7 - 2\\frac{2}{5})",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.05, bodu=5, $$3 - 6 + 10 \cdot 7=\textcolor{white}{67}$$return {
["body"] = 5,
["id"] = "2fW25J_0825_0302",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 67,
["jmenovatel"] = 1 },
["render"] = "\\frac{67}{1}",
["typ"] = "cislo" },
["tex"] = "67",
["x"] = 67 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.05",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["render"] = "3 - 6 + 10 \\cdot 7",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.06, bodu=10, $$5 \cdot (3 \cdot 7)^2=\textcolor{white}{2205}$$return {
["body"] = 10,
["id"] = "kahW2M_0825_0302",
["obtiznost"] = 0.2368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2205,
["jmenovatel"] = 1 },
["render"] = "\\frac{2205}{1}",
["typ"] = "cislo" },
["tex"] = "2205",
["x"] = 2205 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 7)^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (3 \\cdot 7)^2",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.07, bodu=15, $$\frac{10 + 7}{(8 + 7)^2}=\textcolor{white}{\frac{17}{225}}$$return {
["body"] = 15,
["id"] = "liuTan_0825_0302",
["obtiznost"] = 0.1604,
["reseni"] = {
["float"] = 0.075555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 225 },
["render"] = "\\frac{17}{225}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{225}",
["y"] = 17,
["z"] = 225 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.07",
["zadani"] = {
["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"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10 + 7}{(8 + 7)^2}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.08, bodu=12, $$(\frac{4}{8})^2 \cdot (8 - 10)=\textcolor{white}{-0{,}5}$$return {
["body"] = 12,
["id"] = "s0rAsC_0825_0302",
["obtiznost"] = 0.082,
["reseni"] = {
["float"] = -0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 2 },
["render"] = "\\frac{-2}{4}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{2}",
["tex_float"] = "-0{,}5",
["y"] = -1,
["z"] = 2 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["render"] = "(8 - 10)",
["typ"] = "zavorka" },
["render"] = "(\\frac{4}{8})^2 \\cdot (8 - 10)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.09, bodu=24, $$-6 - 9 + (-7 \cdot 1\frac{1}{3})=\textcolor{white}{-24\frac{1}{3}}$$return {
["body"] = 24,
["id"] = "Cmzx7z_0825_0302",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -24.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -73,
["jmenovatel"] = 3 },
["render"] = "\\frac{-73}{3}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{1}{3}",
["x"] = -24,
["y"] = 1,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "-6 - 9 + (-7 \\cdot 1\\frac{1}{3})",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.1, bodu=19, $$-8 + \frac{-11}{(8 + 9)^2}=\textcolor{white}{-8\frac{11}{289}}$$return {
["body"] = 19,
["id"] = "deMacL_0825_0302",
["obtiznost"] = 0.216,
["reseni"] = {
["float"] = -8.038062283737,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2323,
["jmenovatel"] = 289 },
["render"] = "\\frac{-2323}{289}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{11}{289}",
["x"] = -8,
["y"] = 11,
["z"] = 289 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-11}{(8 + 9)^2}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{-11}{(8 + 9)^2}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.11, bodu=13, $$\frac{\frac{5}{6}}{6}=\textcolor{white}{\frac{5}{36}}$$return {
["body"] = 13,
["id"] = "tqYzau_0825_0302",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 0.13888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 36 },
["render"] = "\\frac{5}{36}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{36}",
["y"] = 5,
["z"] = 36 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{6}}{6}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.12, bodu=6, $$((7 - 7) \cdot (5 + (-9)))^4=\textcolor{white}{0}$$return {
["body"] = 6,
["id"] = "t1HTFW_0825_0302",
["obtiznost"] = 0.1204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["render"] = "(7 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 + (-9)",
["typ"] = "plus" },
["render"] = "(5 + (-9))",
["typ"] = "zavorka" },
["render"] = "(7 - 7) \\cdot (5 + (-9))",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "((7 - 7) \\cdot (5 + (-9)))^4",
["typ"] = "mocnina" } }
seed: IUKHYp8LzeDs26cxiECl_0.13, bodu=14, $$\frac{\frac{4}{5}}{-9}=\textcolor{white}{-\frac{4}{45}}$$return {
["body"] = 14,
["id"] = "mQHXpW_0825_0302",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -0.088888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 45 },
["render"] = "\\frac{4}{-45}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{45}",
["y"] = -4,
["z"] = 45 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{5}}{-9}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.14, bodu=14, $$\frac{8 + 7 \cdot 8}{10}=\textcolor{white}{6{,}4}$$return {
["body"] = 14,
["id"] = "k0Axz9_0825_0302",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 6.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 5 },
["render"] = "\\frac{64}{10}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{5}",
["tex_float"] = "6{,}4",
["x"] = 6,
["y"] = 2,
["z"] = 5 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "8 + 7 \\cdot 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 7 \\cdot 8}{10}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.15, bodu=8, $$(-4 - 5)^2 \cdot 7 \cdot 10=\textcolor{white}{5670}$$return {
["body"] = 8,
["id"] = "2sFUzO_0825_0302",
["obtiznost"] = 0.1828,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5670,
["jmenovatel"] = 1 },
["render"] = "\\frac{5670}{1}",
["typ"] = "cislo" },
["tex"] = "5670",
["x"] = 5670 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10",
["typ"] = "krat" },
["render"] = "(-4 - 5)^2 \\cdot 7 \\cdot 10",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.16, bodu=7, $$9 + 6 - (9 - 6)=\textcolor{white}{12}$$return {
["body"] = 7,
["id"] = "TZPoxu_0825_0302",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["tex_float"] = "12",
["x"] = 12 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["render"] = "(9 - 6)",
["typ"] = "zavorka" },
["render"] = "6 - (9 - 6)",
["typ"] = "minus" },
["render"] = "9 + 6 - (9 - 6)",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.17, bodu=8, $$9 \cdot (7 + 8 + 7 + 12)=\textcolor{white}{306}$$return {
["body"] = 8,
["id"] = "Ixg8tH_0825_0302",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 306,
["jmenovatel"] = 1 },
["render"] = "\\frac{306}{1}",
["typ"] = "cislo" },
["tex"] = "306",
["x"] = 306 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["render"] = "7 + 8 + 7 + 12",
["typ"] = "plus" },
["render"] = "(7 + 8 + 7 + 12)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (7 + 8 + 7 + 12)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.18, bodu=16, $$10 + 4 - \frac{7}{9}=\textcolor{white}{13\frac{2}{9}}$$return {
["body"] = 16,
["id"] = "dYEGvD_0825_0302",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 13.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119,
["jmenovatel"] = 9 },
["render"] = "\\frac{119}{9}",
["typ"] = "cislo" },
["tex"] = "13\\frac{2}{9}",
["x"] = 13,
["y"] = 2,
["z"] = 9 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{7}{9}",
["typ"] = "minus" },
["render"] = "10 + 4 - \\frac{7}{9}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.19, bodu=10, $$9 - (-5 - 8)^2 \cdot -7=\textcolor{white}{1192}$$return {
["body"] = 10,
["id"] = "gUoCwA_0825_0302",
["obtiznost"] = 0.258,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1192,
["jmenovatel"] = 1 },
["render"] = "\\frac{1192}{1}",
["typ"] = "cislo" },
["tex"] = "1192",
["tex_float"] = "1192",
["x"] = 1192 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-5 - 8)^2 \\cdot -7",
["typ"] = "krat" },
["render"] = "9 - (-5 - 8)^2 \\cdot -7",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.2, bodu=22, $$\frac{(\frac{11}{7})^2}{(8 - 6)^4}=\textcolor{white}{\frac{121}{784}}$$return {
["body"] = 22,
["id"] = "L2cZDX_0825_0302",
["obtiznost"] = 0.2748,
["reseni"] = {
["float"] = 0.15433673469388,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 784 },
["render"] = "\\frac{121}{784}",
["typ"] = "cislo" },
["tex"] = "\\frac{121}{784}",
["y"] = 121,
["z"] = 784 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 6)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{11}{7})^2}{(8 - 6)^4}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.21, bodu=18, $$\frac{\frac{4}{\frac{9}{-8}}}{4}=\textcolor{white}{-\frac{8}{9}}$$return {
["body"] = 18,
["id"] = "7cWEst_0825_0302",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -0.88888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 9 },
["render"] = "\\frac{-32}{36}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{9}",
["y"] = -8,
["z"] = 9 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{4}{\\frac{9}{-8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{\\frac{9}{-8}}}{4}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.22, bodu=26, $$\frac{3 + (9 + (-5))^4}{9 \cdot 12}=\textcolor{white}{2\frac{43}{108}}$$return {
["body"] = 26,
["id"] = "ItkLGR_0825_0302",
["obtiznost"] = 0.3228,
["reseni"] = {
["float"] = 2.3981481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 259,
["jmenovatel"] = 108 },
["render"] = "\\frac{259}{108}",
["typ"] = "cislo" },
["tex"] = "2\\frac{43}{108}",
["x"] = 2,
["y"] = 43,
["z"] = 108 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(9 + (-5))^4",
["typ"] = "mocnina" },
["render"] = "3 + (9 + (-5))^4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{3 + (9 + (-5))^4}{9 \\cdot 12}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.23, bodu=78, $$\frac{3\frac{5}{7}}{\frac{\frac{12}{3\frac{5}{8}}}{3\frac{3}{7}}}=\textcolor{white}{3\frac{83}{98}}$$return {
["body"] = 78,
["id"] = "KBkUvC_0825_0302",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 3.8469387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = 377,
["jmenovatel"] = 98 },
["render"] = "\\frac{754}{196}",
["typ"] = "cislo" },
["tex"] = "3\\frac{83}{98}",
["x"] = 3,
["y"] = 83,
["z"] = 98 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{3\\frac{5}{8}}}{3\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{7}}{\\frac{\\frac{12}{3\\frac{5}{8}}}{3\\frac{3}{7}}}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.24, bodu=42, $$(2\frac{1}{3} + 8 - (-6)) \cdot (12 + (7 + 6)^2)=\textcolor{white}{2956\frac{1}{3}}$$return {
["body"] = 42,
["id"] = "lUaeho_0825_0302",
["obtiznost"] = 0.508,
["reseni"] = {
["float"] = 2956.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8869,
["jmenovatel"] = 3 },
["render"] = "\\frac{8869}{3}",
["typ"] = "cislo" },
["tex"] = "2956\\frac{1}{3}",
["x"] = 2956,
["y"] = 1,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.24",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 8 - (-6)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{3} + 8 - (-6))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 6)^2",
["typ"] = "mocnina" },
["render"] = "12 + (7 + 6)^2",
["typ"] = "plus" },
["render"] = "(12 + (7 + 6)^2)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{3} + 8 - (-6)) \\cdot (12 + (7 + 6)^2)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.25, bodu=37, $$6 - (-14 \cdot 3\frac{1}{2} \cdot 9)=\textcolor{white}{447}$$return {
["body"] = 37,
["id"] = "gz2aa5_0825_0302",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 447,
["jmenovatel"] = 1 },
["render"] = "\\frac{447}{1}",
["typ"] = "cislo" },
["tex"] = "447",
["tex_float"] = "447",
["x"] = 447 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} \\cdot 9",
["typ"] = "krat" },
["render"] = "-14 \\cdot 3\\frac{1}{2} \\cdot 9",
["typ"] = "krat" },
["render"] = "6 - (-14 \\cdot 3\\frac{1}{2} \\cdot 9)",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.26, bodu=38, $$(10 - 4\frac{1}{6}) \cdot 10 \cdot -4=\textcolor{white}{-233\frac{1}{3}}$$return {
["body"] = 38,
["id"] = "ANrenm_0825_0302",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -233.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -700,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1400}{6}",
["typ"] = "cislo" },
["tex"] = "-233\\frac{1}{3}",
["x"] = -233,
["y"] = 1,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(10 - 4\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "10 \\cdot -4",
["typ"] = "krat" },
["render"] = "(10 - 4\\frac{1}{6}) \\cdot 10 \\cdot -4",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.27, bodu=22, $$\frac{\frac{-11}{\frac{8}{5}}}{7}=\textcolor{white}{-\frac{55}{56}}$$return {
["body"] = 22,
["id"] = "hnOC8o_0825_0302",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.98214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 56 },
["render"] = "\\frac{-55}{56}",
["typ"] = "cislo" },
["tex"] = "-\\frac{55}{56}",
["y"] = -55,
["z"] = 56 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{8}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{\\frac{8}{5}}}{7}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.28, bodu=60, $$6 \cdot (3\frac{4}{10} - (4 - 5))^2=\textcolor{white}{116{,}16}$$return {
["body"] = 60,
["id"] = "xBLkfc_0825_0302",
["obtiznost"] = 0.6836,
["reseni"] = {
["float"] = 116.16,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2904,
["jmenovatel"] = 25 },
["render"] = "\\frac{2904}{25}",
["typ"] = "cislo" },
["tex"] = "116\\frac{4}{25}",
["tex_float"] = "116{,}16",
["x"] = 116,
["y"] = 4,
["z"] = 25 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 - 5",
["typ"] = "minus" },
["render"] = "(4 - 5)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} - (4 - 5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{4}{10} - (4 - 5))^2",
["typ"] = "mocnina" },
["render"] = "6 \\cdot (3\\frac{4}{10} - (4 - 5))^2",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.29, bodu=40, $$10 \cdot 3 \cdot 3\frac{3}{5} \cdot -4=\textcolor{white}{-432}$$return {
["body"] = 40,
["id"] = "44Ckze_0825_0302",
["obtiznost"] = 0.49,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -432,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2160}{5}",
["typ"] = "cislo" },
["tex"] = "-432",
["tex_float"] = "-432",
["x"] = -432 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot -4",
["typ"] = "krat" },
["render"] = "10 \\cdot 3 \\cdot 3\\frac{3}{5} \\cdot -4",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.3, bodu=41, $$\frac{15}{8} - \frac{15}{2\frac{4}{7}}=\textcolor{white}{-3\frac{23}{24}}$$return {
["body"] = 41,
["id"] = "XEZ6Zm_0825_0302",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -3.9583333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 24 },
["render"] = "\\frac{-190}{48}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{23}{24}",
["x"] = -3,
["y"] = 23,
["z"] = 24 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{15}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{8} - \\frac{15}{2\\frac{4}{7}}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.31, bodu=36, $$\frac{(\frac{10}{12})^3}{10 + 14}=\textcolor{white}{\frac{125}{5184}}$$return {
["body"] = 36,
["id"] = "bcKIRd_0825_0302",
["obtiznost"] = 0.4464,
["reseni"] = {
["float"] = 0.024112654320988,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 5184 },
["render"] = "\\frac{125}{5184}",
["typ"] = "cislo" },
["tex"] = "\\frac{125}{5184}",
["y"] = 125,
["z"] = 5184 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{12})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 + 14",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{10}{12})^3}{10 + 14}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.32, bodu=13, $$-5 - (6 \cdot 6 - (-7))=\textcolor{white}{-48}$$return {
["body"] = 13,
["id"] = "idUYfj_0825_0302",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["tex_float"] = "-48",
["x"] = -48 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6 - (-7)",
["typ"] = "minus" },
["render"] = "(6 \\cdot 6 - (-7))",
["typ"] = "zavorka" },
["render"] = "-5 - (6 \\cdot 6 - (-7))",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.33, bodu=13, $$(7 + 9 - 14)^2 + (-15 \cdot 7)=\textcolor{white}{-101}$$return {
["body"] = 13,
["id"] = "ogA0CA_0825_0302",
["obtiznost"] = 0.332,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -101,
["jmenovatel"] = 1 },
["render"] = "\\frac{-101}{1}",
["typ"] = "cislo" },
["tex"] = "-101",
["x"] = -101 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 + 9 - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 + 9 - 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 7",
["typ"] = "krat" },
["render"] = "(7 + 9 - 14)^2 + (-15 \\cdot 7)",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.34, bodu=13, $$(15 \cdot -6 - 5) \cdot 13=\textcolor{white}{-1235}$$return {
["body"] = 13,
["id"] = "Z6gZi1_0825_0302",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1235,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1235}{1}",
["typ"] = "cislo" },
["tex"] = "-1235",
["tex_float"] = "-1235",
["x"] = -1235 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.34",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "15 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "15 \\cdot -6 - 5",
["typ"] = "minus" },
["render"] = "(15 \\cdot -6 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(15 \\cdot -6 - 5) \\cdot 13",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.35, bodu=28, $$\frac{9 \cdot 11}{7 \cdot 7}=\textcolor{white}{2\frac{1}{49}}$$return {
["body"] = 28,
["id"] = "7aeojS_0825_0302",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 2.0204081632653,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 49 },
["render"] = "\\frac{99}{49}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{49}",
["x"] = 2,
["y"] = 1,
["z"] = 49 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11",
["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"] = "\\frac{9 \\cdot 11}{7 \\cdot 7}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.36, bodu=37, $$(\frac{\frac{-7 + 11}{10}}{6})^2=\textcolor{white}{\frac{1}{225}}$$return {
["body"] = 37,
["id"] = "bNpjZp_0825_0302",
["obtiznost"] = 0.4504,
["reseni"] = {
["float"] = 0.0044444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 225 },
["render"] = "\\frac{1}{225}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{225}",
["y"] = 1,
["z"] = 225 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.36",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + 11}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7 + 11}{10}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{-7 + 11}{10}}{6})^2",
["typ"] = "mocnina" } }
seed: IUKHYp8LzeDs26cxiECl_0.37, bodu=30, $$\frac{3 \cdot -9}{(\frac{12}{6})^2}=\textcolor{white}{-6{,}75}$$return {
["body"] = 30,
["id"] = "fLN2n5_0825_0302",
["obtiznost"] = 0.372,
["reseni"] = {
["float"] = -6.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 4 },
["render"] = "\\frac{-27}{4}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3}{4}",
["tex_float"] = "-6{,}75",
["x"] = -6,
["y"] = 3,
["z"] = 4 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3 \\cdot -9}{(\\frac{12}{6})^2}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.38, bodu=49, $$\frac{\frac{\frac{2\frac{3}{5}}{-8}}{11}}{12}=\textcolor{white}{-\frac{13}{5280}}$$return {
["body"] = 49,
["id"] = "TmR1xF_0825_0302",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -0.0024621212121212,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 5280 },
["render"] = "\\frac{-13}{5280}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{5280}",
["y"] = -13,
["z"] = 5280 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{5}}{-8}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{3}{5}}{-8}}{11}}{12}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.39, bodu=73, $$-9 - (11 - (3\frac{1}{3} + \frac{5}{1\frac{5}{8}}))=\textcolor{white}{-13\frac{23}{39}}$$return {
["body"] = 73,
["id"] = "HCvhw3_0825_0302",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -13.589743589744,
["objekt"] = {
["hodnota"] = {
["citatel"] = -530,
["jmenovatel"] = 39 },
["render"] = "\\frac{-530}{39}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{23}{39}",
["x"] = -13,
["y"] = 23,
["z"] = 39 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{3} + \\frac{5}{1\\frac{5}{8}}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{3} + \\frac{5}{1\\frac{5}{8}})",
["typ"] = "zavorka" },
["render"] = "11 - (3\\frac{1}{3} + \\frac{5}{1\\frac{5}{8}})",
["typ"] = "minus" },
["render"] = "(11 - (3\\frac{1}{3} + \\frac{5}{1\\frac{5}{8}}))",
["typ"] = "zavorka" },
["render"] = "-9 - (11 - (3\\frac{1}{3} + \\frac{5}{1\\frac{5}{8}}))",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.4, bodu=32, $$17 - 6 + 12 - \frac{-9}{-8}=\textcolor{white}{21{,}875}$$return {
["body"] = 32,
["id"] = "yx1ndq_0825_0302",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 21.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 8 },
["render"] = "\\frac{175}{8}",
["typ"] = "cislo" },
["tex"] = "21\\frac{7}{8}",
["tex_float"] = "21{,}875",
["x"] = 21,
["y"] = 7,
["z"] = 8 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "17 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "17 - 6 + 12",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "17 - 6 + 12 - \\frac{-9}{-8}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.41, bodu=75, $$\frac{2\frac{1}{7} + 7}{15 \cdot 2\frac{1}{4} \cdot -5}=\textcolor{white}{-\frac{256}{4725}}$$return {
["body"] = 75,
["id"] = "mN69ER_0825_0302",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -0.054179894179894,
["objekt"] = {
["hodnota"] = {
["citatel"] = -256,
["jmenovatel"] = 4725 },
["render"] = "\\frac{256}{-4725}",
["typ"] = "cislo" },
["tex"] = "-\\frac{256}{4725}",
["y"] = -256,
["z"] = 4725 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot -5",
["typ"] = "krat" },
["render"] = "15 \\cdot 2\\frac{1}{4} \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{7} + 7}{15 \\cdot 2\\frac{1}{4} \\cdot -5}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.42, bodu=69, $$\frac{4\frac{5}{6}}{(\frac{7}{(12 - 13)^4})^3 \cdot 6}=\textcolor{white}{\frac{29}{12348}}$$return {
["body"] = 69,
["id"] = "yuMqQk_0825_0302",
["obtiznost"] = 0.7584,
["reseni"] = {
["float"] = 0.0023485584710075,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12348 },
["render"] = "\\frac{29}{12348}",
["typ"] = "cislo" },
["tex"] = "\\frac{29}{12348}",
["y"] = 29,
["z"] = 12348 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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"] = 4,
["render"] = "(12 - 13)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(12 - 13)^4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{(12 - 13)^4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{(12 - 13)^4})^3 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{6}}{(\\frac{7}{(12 - 13)^4})^3 \\cdot 6}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.43, bodu=35, $$(8 + (-15 + \frac{4}{12})) \cdot 8=\textcolor{white}{-53\frac{1}{3}}$$return {
["body"] = 35,
["id"] = "e5Kk7z_0825_0302",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -53.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 3 },
["render"] = "\\frac{-160}{3}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{1}{3}",
["x"] = -53,
["y"] = 1,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4}{12}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{4}{12}",
["typ"] = "plus" },
["render"] = "8 + (-15 + \\frac{4}{12})",
["typ"] = "plus" },
["render"] = "(8 + (-15 + \\frac{4}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(8 + (-15 + \\frac{4}{12})) \\cdot 8",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.44, bodu=38, $$\frac{14}{((14 - 6)^2 + 7) \cdot 13}=\textcolor{white}{\frac{14}{923}}$$return {
["body"] = 38,
["id"] = "7hr5RJ_0825_0302",
["obtiznost"] = 0.466,
["reseni"] = {
["float"] = 0.015167930660888,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 923 },
["render"] = "\\frac{14}{923}",
["typ"] = "cislo" },
["tex"] = "\\frac{14}{923}",
["y"] = 14,
["z"] = 923 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(14 - 6)^2 + 7",
["typ"] = "plus" },
["render"] = "((14 - 6)^2 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "((14 - 6)^2 + 7) \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{14}{((14 - 6)^2 + 7) \\cdot 13}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.45, bodu=40, $$\frac{8 \cdot (-12 + 9)^4}{\frac{-5}{-12}}=\textcolor{white}{1555{,}2}$$return {
["body"] = 40,
["id"] = "ue9rhr_0825_0302",
["obtiznost"] = 0.4828,
["reseni"] = {
["float"] = 1555.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7776,
["jmenovatel"] = 5 },
["render"] = "\\frac{7776}{5}",
["typ"] = "cislo" },
["tex"] = "1555\\frac{1}{5}",
["tex_float"] = "1555{,}2",
["x"] = 1555,
["y"] = 1,
["z"] = 5 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 + 9",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-12 + 9)^4",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (-12 + 9)^4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{8 \\cdot (-12 + 9)^4}{\\frac{-5}{-12}}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.46, bodu=81, $$\frac{3\frac{3}{6}}{-7 - 9 - (-8 + 13 + 1\frac{4}{7})}=\textcolor{white}{-\frac{49}{316}}$$return {
["body"] = 81,
["id"] = "ePEZoD_0825_0302",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -0.15506329113924,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 316 },
["render"] = "\\frac{49}{-316}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{316}",
["y"] = -49,
["z"] = 316 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-8 + 13 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(-8 + 13 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-7 - 9 - (-8 + 13 + 1\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{3}{6}}{-7 - 9 - (-8 + 13 + 1\\frac{4}{7})}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.47, bodu=59, $$\frac{-13}{-8} \cdot 9 + (-10 - 4\frac{5}{7})=\textcolor{white}{-\frac{5}{56}}$$return {
["body"] = 59,
["id"] = "1RwGwD_0825_0302",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -0.089285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 56 },
["render"] = "\\frac{-5}{56}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{56}",
["y"] = -5,
["z"] = 56 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.47",
["zadani"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-8} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-13}{-8} \\cdot 9 + (-10 - 4\\frac{5}{7})",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.48, bodu=39, $$\frac{\frac{3 + (-10)}{-9} + (-10)}{-6}=\textcolor{white}{1\frac{29}{54}}$$return {
["body"] = 39,
["id"] = "fcGaLr_0825_0302",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 1.537037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 54 },
["render"] = "\\frac{-83}{-54}",
["typ"] = "cislo" },
["tex"] = "1\\frac{29}{54}",
["x"] = 1,
["y"] = 29,
["z"] = 54 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3 + (-10)}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3 + (-10)}{-9} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3 + (-10)}{-9} + (-10)}{-6}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.49, bodu=85, $$-11 + 2\frac{2}{9} + 11 + 11 \cdot -11 - 4\frac{4}{11}=\textcolor{white}{-123\frac{14}{99}}$$return {
["body"] = 85,
["id"] = "FZwskC_0825_0302",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -123.14141414141,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12191,
["jmenovatel"] = 99 },
["render"] = "\\frac{-12191}{99}",
["typ"] = "cislo" },
["tex"] = "-123\\frac{14}{99}",
["x"] = -123,
["y"] = 14,
["z"] = 99 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 11",
["typ"] = "plus" },
["render"] = "-11 + 2\\frac{2}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "11 \\cdot -11 - 4\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "-11 + 2\\frac{2}{9} + 11 + 11 \\cdot -11 - 4\\frac{4}{11}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.5, bodu=62, $$6 \cdot 6 \cdot \frac{12 + 4\frac{5}{9}}{-6}=\textcolor{white}{-99\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "y8fSNS_0825_0302",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -99.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -298,
["jmenovatel"] = 3 },
["render"] = "\\frac{-5364}{54}",
["typ"] = "cislo" },
["tex"] = "-99\\frac{1}{3}",
["x"] = -99,
["y"] = 1,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 4\\frac{5}{9}}{-6}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot 6 \\cdot \\frac{12 + 4\\frac{5}{9}}{-6}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.51, bodu=88, $$(\frac{12}{\frac{11}{1\frac{5}{8}}} + 11) \cdot 1\frac{2}{8}=\textcolor{white}{15\frac{85}{88}}$$return {
["body"] = 88,
["id"] = "AAzBU6_0825_0302",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 15.965909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1405,
["jmenovatel"] = 88 },
["render"] = "\\frac{1405}{88}",
["typ"] = "cislo" },
["tex"] = "15\\frac{85}{88}",
["x"] = 15,
["y"] = 85,
["z"] = 88 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{11}{1\\frac{5}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{\\frac{11}{1\\frac{5}{8}}} + 11",
["typ"] = "plus" },
["render"] = "(\\frac{12}{\\frac{11}{1\\frac{5}{8}}} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{\\frac{11}{1\\frac{5}{8}}} + 11) \\cdot 1\\frac{2}{8}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.52, bodu=43, $$\frac{(-10 + 12)^2}{-10 + \frac{-4}{6}}=\textcolor{white}{-0{,}375}$$return {
["body"] = 43,
["id"] = "2Wp5T6_0825_0302",
["obtiznost"] = 0.522,
["reseni"] = {
["float"] = -0.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 8 },
["render"] = "\\frac{12}{-32}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{8}",
["tex_float"] = "-0{,}375",
["y"] = -3,
["z"] = 8 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{6}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{-4}{6}",
["typ"] = "plus" },
["render"] = "\\frac{(-10 + 12)^2}{-10 + \\frac{-4}{6}}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.53, bodu=118, $$2\frac{3}{5} \cdot \frac{\frac{11}{8}}{2\frac{1}{3} - 1\frac{4}{5}}=\textcolor{white}{6\frac{45}{64}}$$return {
["body"] = 118,
["id"] = "yJUleI_0825_0302",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 6.703125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 429,
["jmenovatel"] = 64 },
["render"] = "\\frac{2145}{320}",
["typ"] = "cislo" },
["tex"] = "6\\frac{45}{64}",
["x"] = 6,
["y"] = 45,
["z"] = 64 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - 1\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{11}{8}}{2\\frac{1}{3} - 1\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{5} \\cdot \\frac{\\frac{11}{8}}{2\\frac{1}{3} - 1\\frac{4}{5}}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.54, bodu=45, $$\frac{-7 \cdot -13}{-8} + (-16 + 8)=\textcolor{white}{-19{,}375}$$return {
["body"] = 45,
["id"] = "UQVELF_0825_0302",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -19.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 8 },
["render"] = "\\frac{-155}{8}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{3}{8}",
["tex_float"] = "-19{,}375",
["x"] = -19,
["y"] = 3,
["z"] = 8 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot -13}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-16 + 8",
["typ"] = "plus" },
["render"] = "\\frac{-7 \\cdot -13}{-8} + (-16 + 8)",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.55, bodu=93, $$3\frac{3}{8} \cdot (1\frac{3}{6} + 11) \cdot -11 \cdot 17=\textcolor{white}{-7889\frac{1}{16}}$$return {
["body"] = 93,
["id"] = "SUhIwE_0825_0302",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -7889.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126225,
["jmenovatel"] = 16 },
["render"] = "\\frac{-126225}{16}",
["typ"] = "cislo" },
["tex"] = "-7889\\frac{1}{16}",
["x"] = -7889,
["y"] = 1,
["z"] = 16 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 11",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{6} + 11)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{8} \\cdot (1\\frac{3}{6} + 11)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 17",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} \\cdot (1\\frac{3}{6} + 11) \\cdot -11 \\cdot 17",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.56, bodu=69, $$6 - 17 - 3\frac{3}{6} - (-14) - 8=\textcolor{white}{-8{,}5}$$return {
["body"] = 69,
["id"] = "iTQyUV_0825_0302",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -8.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 2 },
["render"] = "\\frac{-17}{2}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{1}{2}",
["tex_float"] = "-8{,}5",
["x"] = -8,
["y"] = 1,
["z"] = 2 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "6 - 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "6 - 17 - 3\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "6 - 17 - 3\\frac{3}{6} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 17 - 3\\frac{3}{6} - (-14) - 8",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.57, bodu=70, $$10 - (2\frac{3}{7} - 15 - 12) \cdot 14=\textcolor{white}{354}$$return {
["body"] = 70,
["id"] = "kdx1vl_0825_0302",
["obtiznost"] = 0.77,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 354,
["jmenovatel"] = 1 },
["render"] = "\\frac{354}{1}",
["typ"] = "cislo" },
["tex"] = "354",
["x"] = 354 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 15 - 12",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{7} - 15 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{7} - 15 - 12) \\cdot 14",
["typ"] = "krat" },
["render"] = "10 - (2\\frac{3}{7} - 15 - 12) \\cdot 14",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.58, bodu=159, $$(\frac{(7 - (-11))^2}{12})^2 \cdot 2\frac{4}{11} \cdot 1\frac{5}{9}=\textcolor{white}{2680\frac{4}{11}}$$return {
["body"] = 159,
["id"] = "7ZKoDB_0825_0302",
["obtiznost"] = 1.402,
["reseni"] = {
["float"] = 2680.3636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29484,
["jmenovatel"] = 11 },
["render"] = "\\frac{265356}{99}",
["typ"] = "cislo" },
["tex"] = "2680\\frac{4}{11}",
["x"] = 2680,
["y"] = 4,
["z"] = 11 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(7 - (-11))^2}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(7 - (-11))^2}{12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(\\frac{(7 - (-11))^2}{12})^2 \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{(7 - (-11))^2}{12})^2 \\cdot 2\\frac{4}{11} \\cdot 1\\frac{5}{9}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.59, bodu=126, $$3\frac{2}{6} + \frac{-9}{4\frac{3}{7}} - 10 \cdot 1\frac{2}{5}=\textcolor{white}{-12\frac{65}{93}}$$return {
["body"] = 126,
["id"] = "Q35REq_0825_0302",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -12.698924731183,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1181,
["jmenovatel"] = 93 },
["render"] = "\\frac{-1181}{93}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{65}{93}",
["x"] = -12,
["y"] = 65,
["z"] = 93 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "\\frac{-9}{4\\frac{3}{7}} - 10 \\cdot 1\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "3\\frac{2}{6} + \\frac{-9}{4\\frac{3}{7}} - 10 \\cdot 1\\frac{2}{5}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.6, bodu=78, $$-12 \cdot ((13 - 18)^2 + (\frac{1\frac{1}{5}}{(\frac{-7}{7})^2})^2)=\textcolor{white}{-317{,}28}$$return {
["body"] = 78,
["id"] = "rMTLQV_0825_0302",
["obtiznost"] = 0.8356,
["reseni"] = {
["float"] = -317.28,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7932,
["jmenovatel"] = 25 },
["render"] = "\\frac{-7932}{25}",
["typ"] = "cislo" },
["tex"] = "-317\\frac{7}{25}",
["tex_float"] = "-317{,}28",
["x"] = -317,
["y"] = 7,
["z"] = 25 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "13 - 18",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 18)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["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"] = 2,
["render"] = "(\\frac{-7}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{1}{5}}{(\\frac{-7}{7})^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{1}{5}}{(\\frac{-7}{7})^2})^2",
["typ"] = "mocnina" },
["render"] = "(13 - 18)^2 + (\\frac{1\\frac{1}{5}}{(\\frac{-7}{7})^2})^2",
["typ"] = "plus" },
["render"] = "((13 - 18)^2 + (\\frac{1\\frac{1}{5}}{(\\frac{-7}{7})^2})^2)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot ((13 - 18)^2 + (\\frac{1\\frac{1}{5}}{(\\frac{-7}{7})^2})^2)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.61, bodu=129, $$-8 - \frac{-15}{4\frac{1}{4} \cdot 1\frac{4}{8} \cdot 2\frac{1}{10}}=\textcolor{white}{-6\frac{314}{357}}$$return {
["body"] = 129,
["id"] = "0EfWwl_0825_0302",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -6.8795518207283,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2456,
["jmenovatel"] = 357 },
["render"] = "\\frac{-2456}{357}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{314}{357}",
["x"] = -6,
["y"] = 314,
["z"] = 357 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} \\cdot 2\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{4} \\cdot 1\\frac{4}{8} \\cdot 2\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "\\frac{-15}{4\\frac{1}{4} \\cdot 1\\frac{4}{8} \\cdot 2\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{-15}{4\\frac{1}{4} \\cdot 1\\frac{4}{8} \\cdot 2\\frac{1}{10}}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.62, bodu=131, $$(11 + 4\frac{1}{5} \cdot 1\frac{3}{9}) \cdot \frac{6}{3\frac{2}{7}}=\textcolor{white}{30\frac{36}{115}}$$return {
["body"] = 131,
["id"] = "WTHM5p_0825_0302",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 30.313043478261,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3486,
["jmenovatel"] = 115 },
["render"] = "\\frac{3486}{115}",
["typ"] = "cislo" },
["tex"] = "30\\frac{36}{115}",
["x"] = 30,
["y"] = 36,
["z"] = 115 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 1\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "11 + 4\\frac{1}{5} \\cdot 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(11 + 4\\frac{1}{5} \\cdot 1\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "(11 + 4\\frac{1}{5} \\cdot 1\\frac{3}{9}) \\cdot \\frac{6}{3\\frac{2}{7}}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.63, bodu=97, $$12 \cdot (\frac{-5}{19})^2 \cdot (2\frac{1}{9} - 13)=\textcolor{white}{-9\frac{53}{1083}}$$return {
["body"] = 97,
["id"] = "BXN6Wb_0825_0302",
["obtiznost"] = 0.9844,
["reseni"] = {
["float"] = -9.0489381348107,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9800,
["jmenovatel"] = 1083 },
["render"] = "\\frac{-29400}{3249}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{53}{1083}",
["x"] = -9,
["y"] = 53,
["z"] = 1083 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{19}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{19})^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot (\\frac{-5}{19})^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{9} - 13)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (\\frac{-5}{19})^2 \\cdot (2\\frac{1}{9} - 13)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.64, bodu=121, $$5 + (14 - (-14))^2 - \frac{-12}{1\frac{1}{6} - 14}=\textcolor{white}{788\frac{5}{77}}$$return {
["body"] = 121,
["id"] = "ib44zw_0825_0302",
["obtiznost"] = 1.154,
["reseni"] = {
["float"] = 788.06493506494,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60681,
["jmenovatel"] = 77 },
["render"] = "\\frac{60681}{77}",
["typ"] = "cislo" },
["tex"] = "788\\frac{5}{77}",
["x"] = 788,
["y"] = 5,
["z"] = 77 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (-14))^2",
["typ"] = "mocnina" },
["render"] = "5 + (14 - (-14))^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} - 14",
["typ"] = "minus" },
["render"] = "\\frac{-12}{1\\frac{1}{6} - 14}",
["typ"] = "lomeno" },
["render"] = "5 + (14 - (-14))^2 - \\frac{-12}{1\\frac{1}{6} - 14}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.65, bodu=84, $$\frac{(-16 - 8)^2}{\frac{-10 + 11}{17}} \cdot -11=\textcolor{white}{-107712}$$return {
["body"] = 84,
["id"] = "dF3Da3_0825_0302",
["obtiznost"] = 0.8808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -107712,
["jmenovatel"] = 1 },
["render"] = "\\frac{-107712}{1}",
["typ"] = "cislo" },
["tex"] = "-107712",
["x"] = -107712 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-16 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + 11}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-16 - 8)^2}{\\frac{-10 + 11}{17}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-16 - 8)^2}{\\frac{-10 + 11}{17}} \\cdot -11",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.66, bodu=81, $$\frac{-10 - 4\frac{2}{5} - 9}{-15 \cdot -15 + 14}=\textcolor{white}{-\frac{117}{1195}}$$return {
["body"] = 81,
["id"] = "Kdvvxa_0825_0302",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -0.097907949790795,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 1195 },
["render"] = "\\frac{-117}{1195}",
["typ"] = "cislo" },
["tex"] = "-\\frac{117}{1195}",
["y"] = -117,
["z"] = 1195 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{2}{5} - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -15 + 14",
["typ"] = "plus" },
["render"] = "\\frac{-10 - 4\\frac{2}{5} - 9}{-15 \\cdot -15 + 14}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.67, bodu=170, $$7 - (\frac{3\frac{5}{7}}{(2\frac{4}{10} - 11) \cdot 3\frac{4}{8}} + 3\frac{2}{5})=\textcolor{white}{3\frac{7621}{10535}}$$return {
["body"] = 170,
["id"] = "K02ALD_0825_0302",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 3.7233981964879,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39226,
["jmenovatel"] = 10535 },
["render"] = "\\frac{39226}{10535}",
["typ"] = "cislo" },
["tex"] = "3\\frac{7621}{10535}",
["x"] = 3,
["y"] = 7621,
["z"] = 10535 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{10} - 11) \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{7}}{(2\\frac{4}{10} - 11) \\cdot 3\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{7}}{(2\\frac{4}{10} - 11) \\cdot 3\\frac{4}{8}} + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{5}{7}}{(2\\frac{4}{10} - 11) \\cdot 3\\frac{4}{8}} + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "7 - (\\frac{3\\frac{5}{7}}{(2\\frac{4}{10} - 11) \\cdot 3\\frac{4}{8}} + 3\\frac{2}{5})",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.68, bodu=111, $$16 \cdot \frac{4\frac{2}{4}}{2\frac{3}{11}} + (-11 - (-18 + (-16)))=\textcolor{white}{54{,}68}$$return {
["body"] = 111,
["id"] = "Uzr8bQ_0825_0302",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 54.68,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1367,
["jmenovatel"] = 25 },
["render"] = "\\frac{1367}{25}",
["typ"] = "cislo" },
["tex"] = "54\\frac{17}{25}",
["tex_float"] = "54{,}68",
["x"] = 54,
["y"] = 17,
["z"] = 25 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot \\frac{4\\frac{2}{4}}{2\\frac{3}{11}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-18 + (-16)",
["typ"] = "plus" },
["render"] = "(-18 + (-16))",
["typ"] = "zavorka" },
["render"] = "-11 - (-18 + (-16))",
["typ"] = "minus" },
["render"] = "16 \\cdot \\frac{4\\frac{2}{4}}{2\\frac{3}{11}} + (-11 - (-18 + (-16)))",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.69, bodu=145, $$(3\frac{1}{2} + (-13 + 6))^2 - \frac{1\frac{2}{10}}{\frac{4\frac{4}{6}}{17}}=\textcolor{white}{7\frac{123}{140}}$$return {
["body"] = 145,
["id"] = "R2Wygz_0825_0302",
["obtiznost"] = 1.3112,
["reseni"] = {
["float"] = 7.8785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1103,
["jmenovatel"] = 140 },
["render"] = "\\frac{1103}{140}",
["typ"] = "cislo" },
["tex"] = "7\\frac{123}{140}",
["x"] = 7,
["y"] = 123,
["z"] = 140 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-13 + 6",
["typ"] = "plus" },
["render"] = "3\\frac{1}{2} + (-13 + 6)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{2} + (-13 + 6))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{10}}{\\frac{4\\frac{4}{6}}{17}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{1}{2} + (-13 + 6))^2 - \\frac{1\\frac{2}{10}}{\\frac{4\\frac{4}{6}}{17}}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.7, bodu=86, $$3\frac{4}{10} \cdot 9 \cdot \frac{-11}{-12 \cdot -15}=\textcolor{white}{-1{,}87}$$return {
["body"] = 86,
["id"] = "FCOqwP_0825_0302",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -1.87,
["objekt"] = {
["hodnota"] = {
["citatel"] = -187,
["jmenovatel"] = 100 },
["render"] = "\\frac{-187}{100}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{87}{100}",
["tex_float"] = "-1{,}87",
["x"] = -1,
["y"] = 87,
["z"] = 100 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{-11}{-12 \\cdot -15}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{-11}{-12 \\cdot -15}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{10} \\cdot 9 \\cdot \\frac{-11}{-12 \\cdot -15}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.71, bodu=201, $$\frac{-14}{(2\frac{5}{10} + \frac{-7}{4\frac{4}{13}})^3 + 4\frac{4}{10} \cdot -9}=\textcolor{white}{\frac{35840}{99661}}$$return {
["body"] = 201,
["id"] = "HrLcRK_0825_0302",
["obtiznost"] = 1.652,
["reseni"] = {
["float"] = 0.35961910877876,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35840,
["jmenovatel"] = 99661 },
["render"] = "\\frac{-35840}{-99661}",
["typ"] = "cislo" },
["tex"] = "\\frac{35840}{99661}",
["y"] = 35840,
["z"] = 99661 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{10} + \\frac{-7}{4\\frac{4}{13}}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{5}{10} + \\frac{-7}{4\\frac{4}{13}})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} \\cdot -9",
["typ"] = "krat" },
["render"] = "(2\\frac{5}{10} + \\frac{-7}{4\\frac{4}{13}})^3 + 4\\frac{4}{10} \\cdot -9",
["typ"] = "plus" },
["render"] = "\\frac{-14}{(2\\frac{5}{10} + \\frac{-7}{4\\frac{4}{13}})^3 + 4\\frac{4}{10} \\cdot -9}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.72, bodu=146, $$-11 + 3\frac{4}{10} \cdot 15 + 4\frac{4}{7} + 3\frac{5}{10} - (-14 + (-16))=\textcolor{white}{78\frac{1}{14}}$$return {
["body"] = 146,
["id"] = "XpzACh_0825_0302",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 78.071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1093,
["jmenovatel"] = 14 },
["render"] = "\\frac{1093}{14}",
["typ"] = "cislo" },
["tex"] = "78\\frac{1}{14}",
["x"] = 78,
["y"] = 1,
["z"] = 14 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot 15 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "-11 + 3\\frac{4}{10} \\cdot 15 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-14 + (-16)",
["typ"] = "plus" },
["render"] = "(-14 + (-16))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{10} - (-14 + (-16))",
["typ"] = "minus" },
["render"] = "-11 + 3\\frac{4}{10} \\cdot 15 + 4\\frac{4}{7} + 3\\frac{5}{10} - (-14 + (-16))",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.73, bodu=118, $$2\frac{2}{8} - \frac{-15}{3\frac{5}{7}} \cdot -9 \cdot 13=\textcolor{white}{-470{,}25}$$return {
["body"] = 118,
["id"] = "BBcG9r_0825_0302",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -470.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1881,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3762}{8}",
["typ"] = "cislo" },
["tex"] = "-470\\frac{1}{4}",
["tex_float"] = "-470{,}25",
["x"] = -470,
["y"] = 1,
["z"] = 4 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{5}{7}} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{5}{7}} \\cdot -9 \\cdot 13",
["typ"] = "krat" },
["render"] = "2\\frac{2}{8} - \\frac{-15}{3\\frac{5}{7}} \\cdot -9 \\cdot 13",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.74, bodu=92, $$\frac{\frac{5}{12 \cdot 6}}{2\frac{3}{9} - (-12)}=\textcolor{white}{\frac{5}{1032}}$$return {
["body"] = 92,
["id"] = "Vchc2g_0825_0302",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 0.0048449612403101,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1032 },
["render"] = "\\frac{15}{3096}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{1032}",
["y"] = 5,
["z"] = 1032 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{5}{12 \\cdot 6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-12)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{5}{12 \\cdot 6}}{2\\frac{3}{9} - (-12)}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.75, bodu=68, $$\frac{-11}{-13} - \frac{17}{-11} \cdot -5=\textcolor{white}{-6\frac{126}{143}}$$return {
["body"] = 68,
["id"] = "hpiOlf_0825_0302",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -6.8811188811189,
["objekt"] = {
["hodnota"] = {
["citatel"] = -984,
["jmenovatel"] = 143 },
["render"] = "\\frac{-984}{143}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{126}{143}",
["x"] = -6,
["y"] = 126,
["z"] = 143 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-11} \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{-11}{-13} - \\frac{17}{-11} \\cdot -5",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.76, bodu=178, $$(17 + (-15 + 18))^2 \cdot (1\frac{3}{7} - (4\frac{1}{9} - (4\frac{3}{7} + 8)))=\textcolor{white}{3898\frac{26}{63}}$$return {
["body"] = 178,
["id"] = "T1aWCf_0825_0302",
["obtiznost"] = 1.5204,
["reseni"] = {
["float"] = 3898.4126984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = 245600,
["jmenovatel"] = 63 },
["render"] = "\\frac{245600}{63}",
["typ"] = "cislo" },
["tex"] = "3898\\frac{26}{63}",
["x"] = 3898,
["y"] = 26,
["z"] = 63 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.76",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 + 18",
["typ"] = "plus" },
["render"] = "17 + (-15 + 18)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(17 + (-15 + 18))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 8",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 8)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{9} - (4\\frac{3}{7} + 8)",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{9} - (4\\frac{3}{7} + 8))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{7} - (4\\frac{1}{9} - (4\\frac{3}{7} + 8))",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - (4\\frac{1}{9} - (4\\frac{3}{7} + 8)))",
["typ"] = "zavorka" },
["render"] = "(17 + (-15 + 18))^2 \\cdot (1\\frac{3}{7} - (4\\frac{1}{9} - (4\\frac{3}{7} + 8)))",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.77, bodu=127, $$\frac{-16 - (-14)}{(3\frac{3}{6} - 7)^2} - (-16) - 3\frac{4}{8}=\textcolor{white}{12\frac{33}{98}}$$return {
["body"] = 127,
["id"] = "9ufrDy_0825_0302",
["obtiznost"] = 1.1912,
["reseni"] = {
["float"] = 12.336734693878,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1209,
["jmenovatel"] = 98 },
["render"] = "\\frac{1209}{98}",
["typ"] = "cislo" },
["tex"] = "12\\frac{33}{98}",
["x"] = 12,
["y"] = 33,
["z"] = 98 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-16 - (-14)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{6} - 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-16 - (-14)}{(3\\frac{3}{6} - 7)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-16 - (-14)}{(3\\frac{3}{6} - 7)^2} - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-16 - (-14)}{(3\\frac{3}{6} - 7)^2} - (-16) - 3\\frac{4}{8}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.78, bodu=125, $$\frac{-10}{3\frac{2}{4} - \frac{11 \cdot -19}{4\frac{3}{12}}}=\textcolor{white}{-\frac{340}{1791}}$$return {
["body"] = 125,
["id"] = "ga3k9Q_0825_0302",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -0.18983807928532,
["objekt"] = {
["hodnota"] = {
["citatel"] = -340,
["jmenovatel"] = 1791 },
["render"] = "\\frac{-340}{1791}",
["typ"] = "cislo" },
["tex"] = "-\\frac{340}{1791}",
["y"] = -340,
["z"] = 1791 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "11 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot -19}{4\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{4} - \\frac{11 \\cdot -19}{4\\frac{3}{12}}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{3\\frac{2}{4} - \\frac{11 \\cdot -19}{4\\frac{3}{12}}}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.79, bodu=157, $$12 \cdot (13 + 3\frac{5}{12} + (-14 \cdot 4\frac{1}{6})) + 1\frac{4}{12}=\textcolor{white}{-501\frac{2}{3}}$$return {
["body"] = 157,
["id"] = "4YL2HT_0825_0302",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -501.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1505,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1505}{3}",
["typ"] = "cislo" },
["tex"] = "-501\\frac{2}{3}",
["x"] = -501,
["y"] = 2,
["z"] = 3 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "13 + 3\\frac{5}{12} + (-14 \\cdot 4\\frac{1}{6})",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{5}{12} + (-14 \\cdot 4\\frac{1}{6}))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (13 + 3\\frac{5}{12} + (-14 \\cdot 4\\frac{1}{6}))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "12 \\cdot (13 + 3\\frac{5}{12} + (-14 \\cdot 4\\frac{1}{6})) + 1\\frac{4}{12}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.8, bodu=201, $$-14 + (1\frac{2}{10} - 1\frac{3}{5})^4 - 12 - \frac{3\frac{5}{11}}{12} - 15=\textcolor{white}{-41\frac{10819}{41250}}$$return {
["body"] = 201,
["id"] = "xazt7h_0825_0302",
["obtiznost"] = 1.6564,
["reseni"] = {
["float"] = -41.262278787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1702069,
["jmenovatel"] = 41250 },
["render"] = "\\frac{-1702069}{41250}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{10819}{41250}",
["x"] = -41,
["y"] = 10819,
["z"] = 41250 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - 1\\frac{3}{5}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(1\\frac{2}{10} - 1\\frac{3}{5})^4",
["typ"] = "mocnina" },
["render"] = "-14 + (1\\frac{2}{10} - 1\\frac{3}{5})^4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 + (1\\frac{2}{10} - 1\\frac{3}{5})^4 - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11}}{12}",
["typ"] = "lomeno" },
["render"] = "-14 + (1\\frac{2}{10} - 1\\frac{3}{5})^4 - 12 - \\frac{3\\frac{5}{11}}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-14 + (1\\frac{2}{10} - 1\\frac{3}{5})^4 - 12 - \\frac{3\\frac{5}{11}}{12} - 15",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.81, bodu=193, $$\frac{4\frac{4}{12} - 2\frac{3}{11}}{\frac{4 - 2\frac{5}{9} \cdot 1\frac{5}{12}}{15}}=\textcolor{white}{81\frac{189}{451}}$$return {
["body"] = 193,
["id"] = "IwzxWI_0825_0302",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = 81.419068736142,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36720,
["jmenovatel"] = 451 },
["render"] = "\\frac{110160}{1353}",
["typ"] = "cislo" },
["tex"] = "81\\frac{189}{451}",
["x"] = 81,
["y"] = 189,
["z"] = 451 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 2\\frac{3}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "4 - 2\\frac{5}{9} \\cdot 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4 - 2\\frac{5}{9} \\cdot 1\\frac{5}{12}}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{4}{12} - 2\\frac{3}{11}}{\\frac{4 - 2\\frac{5}{9} \\cdot 1\\frac{5}{12}}{15}}",
["typ"] = "lomeno" } }
seed: IUKHYp8LzeDs26cxiECl_0.82, bodu=195, $$(-16 + \frac{4\frac{4}{10}}{3\frac{5}{12} - 2\frac{1}{5}}) \cdot (15 + 4\frac{5}{12} \cdot -13)=\textcolor{white}{525\frac{59}{219}}$$return {
["body"] = 195,
["id"] = "nXQpm9_0825_0302",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 525.26940639269,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115034,
["jmenovatel"] = 219 },
["render"] = "\\frac{460136}{876}",
["typ"] = "cislo" },
["tex"] = "525\\frac{59}{219}",
["x"] = 525,
["y"] = 59,
["z"] = 219 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{10}}{3\\frac{5}{12} - 2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{4\\frac{4}{10}}{3\\frac{5}{12} - 2\\frac{1}{5}}",
["typ"] = "plus" },
["render"] = "(-16 + \\frac{4\\frac{4}{10}}{3\\frac{5}{12} - 2\\frac{1}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} \\cdot -13",
["typ"] = "krat" },
["render"] = "15 + 4\\frac{5}{12} \\cdot -13",
["typ"] = "plus" },
["render"] = "(15 + 4\\frac{5}{12} \\cdot -13)",
["typ"] = "zavorka" },
["render"] = "(-16 + \\frac{4\\frac{4}{10}}{3\\frac{5}{12} - 2\\frac{1}{5}}) \\cdot (15 + 4\\frac{5}{12} \\cdot -13)",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.83, bodu=163, $$(3\frac{5}{8} - (-7 - 1\frac{1}{5} + \frac{-7}{-11 + 16})) \cdot 1\frac{1}{3}=\textcolor{white}{17\frac{19}{30}}$$return {
["body"] = 163,
["id"] = "Ni20c2_0825_0302",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 17.633333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 529,
["jmenovatel"] = 30 },
["render"] = "\\frac{2116}{120}",
["typ"] = "cislo" },
["tex"] = "17\\frac{19}{30}",
["x"] = 17,
["y"] = 19,
["z"] = 30 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-7 - 1\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["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"] = "\\frac{-7}{-11 + 16}",
["typ"] = "lomeno" },
["render"] = "-7 - 1\\frac{1}{5} + \\frac{-7}{-11 + 16}",
["typ"] = "plus" },
["render"] = "(-7 - 1\\frac{1}{5} + \\frac{-7}{-11 + 16})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} - (-7 - 1\\frac{1}{5} + \\frac{-7}{-11 + 16})",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{8} - (-7 - 1\\frac{1}{5} + \\frac{-7}{-11 + 16}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{8} - (-7 - 1\\frac{1}{5} + \\frac{-7}{-11 + 16})) \\cdot 1\\frac{1}{3}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.84, bodu=165, $$\frac{-15}{7 - \frac{-8}{1\frac{2}{3}}} \cdot (3\frac{4}{5} - 3\frac{1}{5})=\textcolor{white}{-\frac{45}{59}}$$return {
["body"] = 165,
["id"] = "oCGYnt_0825_0302",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.76271186440678,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 59 },
["render"] = "\\frac{-225}{295}",
["typ"] = "cislo" },
["tex"] = "-\\frac{45}{59}",
["y"] = -45,
["z"] = 59 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{2}{3}}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{-8}{1\\frac{2}{3}}",
["typ"] = "minus" },
["render"] = "\\frac{-15}{7 - \\frac{-8}{1\\frac{2}{3}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} - 3\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{5} - 3\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{-15}{7 - \\frac{-8}{1\\frac{2}{3}}} \\cdot (3\\frac{4}{5} - 3\\frac{1}{5})",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.85, bodu=167, $$3\frac{1}{3} + \frac{\frac{1\frac{3}{12}}{-7}}{10 \cdot 4\frac{2}{4}} - (-15)=\textcolor{white}{18\frac{83}{252}}$$return {
["body"] = 167,
["id"] = "p9ArSm_0825_0302",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 18.329365079365,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4619,
["jmenovatel"] = 252 },
["render"] = "\\frac{4619}{252}",
["typ"] = "cislo" },
["tex"] = "18\\frac{83}{252}",
["x"] = 18,
["y"] = 83,
["z"] = 252 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{12}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{3}{12}}{-7}}{10 \\cdot 4\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{3} + \\frac{\\frac{1\\frac{3}{12}}{-7}}{10 \\cdot 4\\frac{2}{4}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + \\frac{\\frac{1\\frac{3}{12}}{-7}}{10 \\cdot 4\\frac{2}{4}} - (-15)",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.86, bodu=202, $$-4 \cdot 14 \cdot 3\frac{2}{4} + (1\frac{3}{10} + 1\frac{3}{10}) \cdot 3\frac{2}{10}=\textcolor{white}{-187{,}68}$$return {
["body"] = 202,
["id"] = "2uyUXa_0825_0302",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -187.68,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4692,
["jmenovatel"] = 25 },
["render"] = "\\frac{-4692}{25}",
["typ"] = "cislo" },
["tex"] = "-187\\frac{17}{25}",
["tex_float"] = "-187{,}68",
["x"] = -187,
["y"] = 17,
["z"] = 25 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "-4 \\cdot 14 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{10} + 1\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{10} + 1\\frac{3}{10}) \\cdot 3\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "-4 \\cdot 14 \\cdot 3\\frac{2}{4} + (1\\frac{3}{10} + 1\\frac{3}{10}) \\cdot 3\\frac{2}{10}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.87, bodu=204, $$4\frac{4}{10} - 4\frac{2}{9} - (4\frac{2}{11} - \frac{2\frac{2}{5}}{22} \cdot -17)=\textcolor{white}{-5\frac{85}{99}}$$return {
["body"] = 204,
["id"] = "sj7EzD_0825_0302",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -5.8585858585859,
["objekt"] = {
["hodnota"] = {
["citatel"] = -580,
["jmenovatel"] = 99 },
["render"] = "\\frac{-14500}{2475}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{85}{99}",
["x"] = -5,
["y"] = 85,
["z"] = 99 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 4\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{22}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{5}}{22} \\cdot -17",
["typ"] = "krat" },
["render"] = "4\\frac{2}{11} - \\frac{2\\frac{2}{5}}{22} \\cdot -17",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{11} - \\frac{2\\frac{2}{5}}{22} \\cdot -17)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{10} - 4\\frac{2}{9} - (4\\frac{2}{11} - \\frac{2\\frac{2}{5}}{22} \\cdot -17)",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.88, bodu=120, $$\frac{3\frac{2}{8} \cdot -8}{(\frac{12}{5})^2 + (-22)} - (-9)=\textcolor{white}{10\frac{122}{203}}$$return {
["body"] = 120,
["id"] = "tqzKpk_0825_0302",
["obtiznost"] = 1.1476,
["reseni"] = {
["float"] = 10.600985221675,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2152,
["jmenovatel"] = 203 },
["render"] = "\\frac{2152}{203}",
["typ"] = "cislo" },
["tex"] = "10\\frac{122}{203}",
["x"] = 10,
["y"] = 122,
["z"] = 203 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{5})^2 + (-22)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{8} \\cdot -8}{(\\frac{12}{5})^2 + (-22)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8} \\cdot -8}{(\\frac{12}{5})^2 + (-22)} - (-9)",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.89, bodu=141, $$-17 \cdot (-12 + (-12)) \cdot \frac{2\frac{2}{8} + (-8)}{2\frac{1}{7}}=\textcolor{white}{-1094{,}8}$$return {
["body"] = 141,
["id"] = "R79kwk_0825_0302",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -1094.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5474,
["jmenovatel"] = 5 },
["render"] = "\\frac{-65688}{60}",
["typ"] = "cislo" },
["tex"] = "-1094\\frac{4}{5}",
["tex_float"] = "-1094{,}8",
["x"] = -1094,
["y"] = 4,
["z"] = 5 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-12 + (-12))",
["typ"] = "zavorka" },
["render"] = "-17 \\cdot (-12 + (-12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8} + (-8)}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "-17 \\cdot (-12 + (-12)) \\cdot \\frac{2\\frac{2}{8} + (-8)}{2\\frac{1}{7}}",
["typ"] = "krat" } }
seed: IUKHYp8LzeDs26cxiECl_0.9, bodu=245, $$(9 + 3\frac{2}{5} + 1\frac{2}{3}) \cdot 1\frac{1}{10} - \frac{4\frac{5}{13}}{1\frac{3}{5} - (-22)}=\textcolor{white}{15\frac{16541}{57525}}$$return {
["body"] = 245,
["id"] = "FPbbuv_0825_0302",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = 15.28754454585,
["objekt"] = {
["hodnota"] = {
["citatel"] = 879416,
["jmenovatel"] = 57525 },
["render"] = "\\frac{3517664}{230100}",
["typ"] = "cislo" },
["tex"] = "15\\frac{16541}{57525}",
["x"] = 15,
["y"] = 16541,
["z"] = 57525 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{2}{5} + 1\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(9 + 3\\frac{2}{5} + 1\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "(9 + 3\\frac{2}{5} + 1\\frac{2}{3}) \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} - (-22)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{13}}{1\\frac{3}{5} - (-22)}",
["typ"] = "lomeno" },
["render"] = "(9 + 3\\frac{2}{5} + 1\\frac{2}{3}) \\cdot 1\\frac{1}{10} - \\frac{4\\frac{5}{13}}{1\\frac{3}{5} - (-22)}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.91, bodu=176, $$-6 + 13 + 3\frac{2}{8} + 4\frac{3}{12} - (\frac{16}{18} - 4\frac{4}{12})=\textcolor{white}{17\frac{17}{18}}$$return {
["body"] = 176,
["id"] = "9mme98_0825_0302",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 17.944444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 323,
["jmenovatel"] = 18 },
["render"] = "\\frac{323}{18}",
["typ"] = "cislo" },
["tex"] = "17\\frac{17}{18}",
["x"] = 17,
["y"] = 17,
["z"] = 18 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "-6 + 13 + 3\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-6 + 13 + 3\\frac{2}{8} + 4\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{16}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{18} - 4\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "(\\frac{16}{18} - 4\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "-6 + 13 + 3\\frac{2}{8} + 4\\frac{3}{12} - (\\frac{16}{18} - 4\\frac{4}{12})",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.92, bodu=249, $$3\frac{2}{12} - (2\frac{1}{5} - 2\frac{4}{13}) - (3\frac{3}{8} + 2\frac{4}{11} - 11) \cdot -12=\textcolor{white}{-59\frac{1849}{2145}}$$return {
["body"] = 249,
["id"] = "9Ba9EU_0825_0302",
["obtiznost"] = 1.92,
["reseni"] = {
["float"] = -59.862004662005,
["objekt"] = {
["hodnota"] = {
["citatel"] = -128404,
["jmenovatel"] = 2145 },
["render"] = "\\frac{-513616}{8580}",
["typ"] = "cislo" },
["tex"] = "-59\\frac{1849}{2145}",
["x"] = -59,
["y"] = 1849,
["z"] = 2145 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - 2\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} - 2\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{12} - (2\\frac{1}{5} - 2\\frac{4}{13})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 11",
["typ"] = "minus" },
["render"] = "3\\frac{3}{8} + 2\\frac{4}{11} - 11",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + 2\\frac{4}{11} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} + 2\\frac{4}{11} - 11) \\cdot -12",
["typ"] = "krat" },
["render"] = "3\\frac{2}{12} - (2\\frac{1}{5} - 2\\frac{4}{13}) - (3\\frac{3}{8} + 2\\frac{4}{11} - 11) \\cdot -12",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.93, bodu=171, $$16 + 1\frac{1}{3} - (11 - 1\frac{2}{4})^2 - (10 - 9 \cdot 7)=\textcolor{white}{-19\frac{11}{12}}$$return {
["body"] = 171,
["id"] = "WSSDFs_0825_0302",
["obtiznost"] = 1.476,
["reseni"] = {
["float"] = -19.916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -239,
["jmenovatel"] = 12 },
["render"] = "\\frac{-239}{12}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{11}{12}",
["x"] = -19,
["y"] = 11,
["z"] = 12 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{2}{4}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 1\\frac{2}{4})^2",
["typ"] = "mocnina" },
["render"] = "16 + 1\\frac{1}{3} - (11 - 1\\frac{2}{4})^2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["render"] = "10 - 9 \\cdot 7",
["typ"] = "minus" },
["render"] = "(10 - 9 \\cdot 7)",
["typ"] = "zavorka" },
["render"] = "16 + 1\\frac{1}{3} - (11 - 1\\frac{2}{4})^2 - (10 - 9 \\cdot 7)",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.94, bodu=217, $$\frac{13}{-19} \cdot 3\frac{2}{5} - (\frac{(2\frac{1}{5} - 1\frac{1}{5})^3}{-8})^3=\textcolor{white}{-2\frac{15777}{48640}}$$return {
["body"] = 217,
["id"] = "rps7Cs_0825_0302",
["obtiznost"] = 1.746,
["reseni"] = {
["float"] = -2.3243626644737,
["objekt"] = {
["hodnota"] = {
["citatel"] = -113057,
["jmenovatel"] = 48640 },
["render"] = "\\frac{-113057}{48640}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{15777}{48640}",
["x"] = -2,
["y"] = 15777,
["z"] = 48640 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-19} \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - 1\\frac{1}{5}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{1}{5} - 1\\frac{1}{5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{1}{5} - 1\\frac{1}{5})^3}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(2\\frac{1}{5} - 1\\frac{1}{5})^3}{-8})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{-19} \\cdot 3\\frac{2}{5} - (\\frac{(2\\frac{1}{5} - 1\\frac{1}{5})^3}{-8})^3",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.95, bodu=183, $$-24 - 1\frac{4}{9} + 3\frac{1}{6} + 14 - 4\frac{4}{8} + 10 \cdot 14=\textcolor{white}{127\frac{2}{9}}$$return {
["body"] = 183,
["id"] = "V012BI_0825_0302",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 127.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1145,
["jmenovatel"] = 9 },
["render"] = "\\frac{1145}{9}",
["typ"] = "cislo" },
["tex"] = "127\\frac{2}{9}",
["x"] = 127,
["y"] = 2,
["z"] = 9 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-24 - 1\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "14 - 4\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "3\\frac{1}{6} + 14 - 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "-24 - 1\\frac{4}{9} + 3\\frac{1}{6} + 14 - 4\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot 14",
["typ"] = "krat" },
["render"] = "-24 - 1\\frac{4}{9} + 3\\frac{1}{6} + 14 - 4\\frac{4}{8} + 10 \\cdot 14",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.96, bodu=152, $$1\frac{4}{7} \cdot (18 + 9) + 16 \cdot 22 + 4\frac{4}{13} - (-7)=\textcolor{white}{405\frac{67}{91}}$$return {
["body"] = 152,
["id"] = "5z2hTS_0825_0302",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 405.73626373626,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36922,
["jmenovatel"] = 91 },
["render"] = "\\frac{36922}{91}",
["typ"] = "cislo" },
["tex"] = "405\\frac{67}{91}",
["x"] = 405,
["y"] = 67,
["z"] = 91 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "18 + 9",
["typ"] = "plus" },
["render"] = "(18 + 9)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{7} \\cdot (18 + 9)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "16 \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 22 + 4\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "16 \\cdot 22 + 4\\frac{4}{13} - (-7)",
["typ"] = "minus" },
["render"] = "1\\frac{4}{7} \\cdot (18 + 9) + 16 \\cdot 22 + 4\\frac{4}{13} - (-7)",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.97, bodu=187, $$-6 - \frac{8 + (-12 - 19)}{2\frac{2}{12} - (3\frac{4}{12} - 4\frac{5}{14})}=\textcolor{white}{1\frac{14}{67}}$$return {
["body"] = 187,
["id"] = "kU39Ee_0825_0302",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 1.2089552238806,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 67 },
["render"] = "\\frac{81}{67}",
["typ"] = "cislo" },
["tex"] = "1\\frac{14}{67}",
["x"] = 1,
["y"] = 14,
["z"] = 67 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-12 - 19",
["typ"] = "minus" },
["render"] = "8 + (-12 - 19)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} - 4\\frac{5}{14}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{12} - 4\\frac{5}{14})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{12} - (3\\frac{4}{12} - 4\\frac{5}{14})",
["typ"] = "minus" },
["render"] = "\\frac{8 + (-12 - 19)}{2\\frac{2}{12} - (3\\frac{4}{12} - 4\\frac{5}{14})}",
["typ"] = "lomeno" },
["render"] = "-6 - \\frac{8 + (-12 - 19)}{2\\frac{2}{12} - (3\\frac{4}{12} - 4\\frac{5}{14})}",
["typ"] = "minus" } }
seed: IUKHYp8LzeDs26cxiECl_0.98, bodu=125, $$3 \cdot (14 \cdot 19 - 15) + \frac{9}{3\frac{4}{14}}=\textcolor{white}{755\frac{17}{23}}$$return {
["body"] = 125,
["id"] = "A20Pes_0825_0302",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 755.73913043478,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17382,
["jmenovatel"] = 23 },
["render"] = "\\frac{17382}{23}",
["typ"] = "cislo" },
["tex"] = "755\\frac{17}{23}",
["x"] = 755,
["y"] = 17,
["z"] = 23 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "14 \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "14 \\cdot 19 - 15",
["typ"] = "minus" },
["render"] = "(14 \\cdot 19 - 15)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (14 \\cdot 19 - 15)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{4}{14}}",
["typ"] = "lomeno" },
["render"] = "3 \\cdot (14 \\cdot 19 - 15) + \\frac{9}{3\\frac{4}{14}}",
["typ"] = "plus" } }
seed: IUKHYp8LzeDs26cxiECl_0.99, bodu=190, $$\frac{1\frac{4}{10} \cdot 13 + 12}{\frac{-9 + 2\frac{4}{5}}{4\frac{4}{9}}}=\textcolor{white}{-21\frac{181}{279}}$$return {
["body"] = 190,
["id"] = "utjLXF_0825_0302",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -21.648745519713,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6040,
["jmenovatel"] = 279 },
["render"] = "\\frac{30200}{-1395}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{181}{279}",
["x"] = -21,
["y"] = 181,
["z"] = 279 },
["seed"] = "IUKHYp8LzeDs26cxiECl_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 13 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{4}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 2\\frac{4}{5}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{10} \\cdot 13 + 12}{\\frac{-9 + 2\\frac{4}{5}}{4\\frac{4}{9}}}",
["typ"] = "lomeno" } }
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: 
bounce1.gif: 
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: 