- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: pahM7Pi7EM4EAXDNgnPC_0, bodu=10, $$\frac{\frac{5}{10 - (-4)}}{8}=\textcolor{white}{\frac{5}{112}}$$return {
["body"] = 10,
["id"] = "XkkRGQ_0402_0421",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.044642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 112 },
["render"] = "\\frac{5}{112}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{112}",
["y"] = 5,
["z"] = 112 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "10 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{5}{10 - (-4)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{10 - (-4)}}{8}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.01, bodu=10, $$\frac{10}{\frac{9}{-5}}=\textcolor{white}{-5\frac{5}{9}}$$return {
["body"] = 10,
["id"] = "ZeqMei_0402_0421",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = -5.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 9 },
["render"] = "\\frac{50}{-9}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{5}{9}",
["x"] = -5,
["y"] = 5,
["z"] = 9 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{9}{-5}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.02, bodu=11, $$(\frac{-7}{5 \cdot 7})^3=\textcolor{white}{-0{,}008}$$return {
["body"] = 11,
["id"] = "gvOssd_0402_0421",
["obtiznost"] = 0.0704,
["reseni"] = {
["float"] = -0.008,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 125 },
["render"] = "\\frac{-1}{125}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{125}",
["tex_float"] = "-0{,}008",
["y"] = -1,
["z"] = 125 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{-7}{5 \\cdot 7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7}{5 \\cdot 7})^3",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.03, bodu=23, $$2\frac{1}{2} - (6 + 6)^2 + 7 + 8=\textcolor{white}{-126{,}5}$$return {
["body"] = 23,
["id"] = "X5WSvh_0402_0421",
["obtiznost"] = 0.288,
["reseni"] = {
["float"] = -126.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -253,
["jmenovatel"] = 2 },
["render"] = "\\frac{-253}{2}",
["typ"] = "cislo" },
["tex"] = "-126\\frac{1}{2}",
["tex_float"] = "-126{,}5",
["x"] = -126,
["y"] = 1,
["z"] = 2 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 6)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{2} - (6 + 6)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "2\\frac{1}{2} - (6 + 6)^2 + 7 + 8",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.04, bodu=28, $$(8 + 8)^2 \cdot 1\frac{5}{6} \cdot 3=\textcolor{white}{1408}$$return {
["body"] = 28,
["id"] = "wcCvgp_0402_0421",
["obtiznost"] = 0.3428,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1408,
["jmenovatel"] = 1 },
["render"] = "\\frac{2816}{2}",
["typ"] = "cislo" },
["tex"] = "1408",
["tex_float"] = "1408",
["x"] = 1408 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot 3",
["typ"] = "krat" },
["render"] = "(8 + 8)^2 \\cdot 1\\frac{5}{6} \\cdot 3",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.05, bodu=11, $$(\frac{6 + 7 - (-7)}{5})^2=\textcolor{white}{16}$$return {
["body"] = 11,
["id"] = "r1Idff_0402_0421",
["obtiznost"] = 0.0568,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 + 7 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 7 - (-7)}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6 + 7 - (-7)}{5})^2",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.06, bodu=14, $$(4 + 5)^3 \cdot (4 + 8)=\textcolor{white}{8748}$$return {
["body"] = 14,
["id"] = "iI9YZ1_0402_0421",
["obtiznost"] = 0.352,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8748,
["jmenovatel"] = 1 },
["render"] = "\\frac{8748}{1}",
["typ"] = "cislo" },
["tex"] = "8748",
["x"] = 8748 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.06",
["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"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4 + 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 + 8",
["typ"] = "plus" },
["render"] = "(4 + 8)",
["typ"] = "zavorka" },
["render"] = "(4 + 5)^3 \\cdot (4 + 8)",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.07, bodu=11, $$\frac{-10 + 5}{10 \cdot 3}=\textcolor{white}{-\frac{1}{6}}$$return {
["body"] = 11,
["id"] = "eW8yBI_0402_0421",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 6 },
["render"] = "\\frac{-5}{30}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{6}",
["y"] = -1,
["z"] = 6 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 + 5",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{-10 + 5}{10 \\cdot 3}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.08, bodu=12, $$\frac{7}{8 - (6 + 8)}=\textcolor{white}{-1\frac{1}{6}}$$return {
["body"] = 12,
["id"] = "g42r46_0402_0421",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -1.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 6 },
["render"] = "\\frac{7}{-6}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{6}",
["x"] = -1,
["y"] = 1,
["z"] = 6 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "(6 + 8)",
["typ"] = "zavorka" },
["render"] = "8 - (6 + 8)",
["typ"] = "minus" },
["render"] = "\\frac{7}{8 - (6 + 8)}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.09, bodu=12, $$\frac{(9 - 5)^2 \cdot 7}{7}=\textcolor{white}{16}$$return {
["body"] = 12,
["id"] = "KpTDbB_0402_0421",
["obtiznost"] = 0.0968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{112}{7}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(9 - 5)^2 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(9 - 5)^2 \\cdot 7}{7}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.1, bodu=6, $$(10 - 11) \cdot -2 \cdot -6=\textcolor{white}{-12}$$return {
["body"] = 6,
["id"] = "fyTcts_0402_0421",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-12}{1}",
["typ"] = "cislo" },
["tex"] = "-12",
["tex_float"] = "-12",
["x"] = -12 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.1",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 - 11",
["typ"] = "minus" },
["render"] = "(10 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-2 \\cdot -6",
["typ"] = "krat" },
["render"] = "(10 - 11) \\cdot -2 \\cdot -6",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.11, bodu=25, $$\frac{-9 - 9 + 5}{3\frac{1}{6}}=\textcolor{white}{-4\frac{2}{19}}$$return {
["body"] = 25,
["id"] = "MLQKxq_0402_0421",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -4.1052631578947,
["objekt"] = {
["hodnota"] = {
["citatel"] = -78,
["jmenovatel"] = 19 },
["render"] = "\\frac{-78}{19}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{19}",
["x"] = -4,
["y"] = 2,
["z"] = 19 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 - 9 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 9 + 5}{3\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.12, bodu=18, $$((\frac{10}{-5})^3 - (5 - 7))^3=\textcolor{white}{-216}$$return {
["body"] = 18,
["id"] = "ChnkWA_0402_0421",
["obtiznost"] = 0.2104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 1 },
["render"] = "\\frac{-216}{1}",
["typ"] = "cislo" },
["tex"] = "-216",
["x"] = -216 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{-5})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 7",
["typ"] = "minus" },
["render"] = "(5 - 7)",
["typ"] = "zavorka" },
["render"] = "(\\frac{10}{-5})^3 - (5 - 7)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "((\\frac{10}{-5})^3 - (5 - 7))^3",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.13, bodu=14, $$\frac{-7}{\frac{8 - (-8)}{7}}=\textcolor{white}{-3\frac{1}{16}}$$return {
["body"] = 14,
["id"] = "1X468q_0402_0421",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -3.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 16 },
["render"] = "\\frac{-49}{16}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{16}",
["x"] = -3,
["y"] = 1,
["z"] = 16 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8 - (-8)}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{8 - (-8)}{7}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.14, bodu=11, $$5 \cdot (9 + 6 + 4)^2=\textcolor{white}{1805}$$return {
["body"] = 11,
["id"] = "r7eOyw_0402_0421",
["obtiznost"] = 0.2848,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1805,
["jmenovatel"] = 1 },
["render"] = "\\frac{1805}{1}",
["typ"] = "cislo" },
["tex"] = "1805",
["x"] = 1805 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 + 6 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 6 + 4)^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (9 + 6 + 4)^2",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.15, bodu=15, $$(\frac{-6}{-6})^4 \cdot 4=\textcolor{white}{4}$$return {
["body"] = 15,
["id"] = "T4hYvx_0402_0421",
["obtiznost"] = 0.1508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{4}{1}",
["typ"] = "cislo" },
["tex"] = "4",
["x"] = 4 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{-6})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{-6})^4 \\cdot 4",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.16, bodu=17, $$(\frac{\frac{-11}{9}}{11})^2=\textcolor{white}{\frac{1}{81}}$$return {
["body"] = 17,
["id"] = "BaM9mq_0402_0421",
["obtiznost"] = 0.1928,
["reseni"] = {
["float"] = 0.012345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 81 },
["render"] = "\\frac{1}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{81}",
["y"] = 1,
["z"] = 81 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{9}}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{-11}{9}}{11})^2",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.17, bodu=16, $$\frac{5}{\frac{-6}{-7}}=\textcolor{white}{5\frac{5}{6}}$$return {
["body"] = 16,
["id"] = "OaKxXO_0402_0421",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 5.8333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 6 },
["render"] = "\\frac{35}{6}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{6}",
["x"] = 5,
["y"] = 5,
["z"] = 6 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-6}{-7}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.18, bodu=16, $$\frac{10 + (-11)}{8 \cdot 3}=\textcolor{white}{-\frac{1}{24}}$$return {
["body"] = 16,
["id"] = "dyG59E_0402_0421",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.041666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 24 },
["render"] = "\\frac{-1}{24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{24}",
["y"] = -1,
["z"] = 24 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.18",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{10 + (-11)}{8 \\cdot 3}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.19, bodu=19, $$-7 + 7 - (\frac{6}{7})^2=\textcolor{white}{-\frac{36}{49}}$$return {
["body"] = 19,
["id"] = "7xPylE_0402_0421",
["obtiznost"] = 0.224,
["reseni"] = {
["float"] = -0.73469387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 49 },
["render"] = "\\frac{-36}{49}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36}{49}",
["y"] = -36,
["z"] = 49 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{7})^2",
["typ"] = "mocnina" },
["render"] = "7 - (\\frac{6}{7})^2",
["typ"] = "minus" },
["render"] = "-7 + 7 - (\\frac{6}{7})^2",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.2, bodu=32, $$\frac{8}{3\frac{5}{8}} \cdot 4 \cdot -13=\textcolor{white}{-114\frac{22}{29}}$$return {
["body"] = 32,
["id"] = "WRDOiW_0402_0421",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -114.75862068966,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3328,
["jmenovatel"] = 29 },
["render"] = "\\frac{-3328}{29}",
["typ"] = "cislo" },
["tex"] = "-114\\frac{22}{29}",
["x"] = -114,
["y"] = 22,
["z"] = 29 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{8}} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{8}} \\cdot 4 \\cdot -13",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.21, bodu=18, $$-9 - \frac{10}{\frac{4}{13}}=\textcolor{white}{-41{,}5}$$return {
["body"] = 18,
["id"] = "kkzDH0_0402_0421",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -41.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83,
["jmenovatel"] = 2 },
["render"] = "\\frac{-83}{2}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{1}{2}",
["tex_float"] = "-41{,}5",
["x"] = -41,
["y"] = 1,
["z"] = 2 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["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"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "-9 - \\frac{10}{\\frac{4}{13}}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.22, bodu=34, $$6 - (9 + 9 - (8 + 2\frac{5}{8}))=\textcolor{white}{-1{,}375}$$return {
["body"] = 34,
["id"] = "pLVNKv_0402_0421",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -1.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 8 },
["render"] = "\\frac{-11}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{8}",
["tex_float"] = "-1{,}375",
["x"] = -1,
["y"] = 3,
["z"] = 8 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "8 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(8 + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "9 + 9 - (8 + 2\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "(9 + 9 - (8 + 2\\frac{5}{8}))",
["typ"] = "zavorka" },
["render"] = "6 - (9 + 9 - (8 + 2\\frac{5}{8}))",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.23, bodu=35, $$4\frac{4}{5} \cdot (-9 \cdot -8 - 7)=\textcolor{white}{312}$$return {
["body"] = 35,
["id"] = "KCnBun_0402_0421",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 312,
["jmenovatel"] = 1 },
["render"] = "\\frac{1560}{5}",
["typ"] = "cislo" },
["tex"] = "312",
["x"] = 312 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -8 - 7",
["typ"] = "minus" },
["render"] = "(-9 \\cdot -8 - 7)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{5} \\cdot (-9 \\cdot -8 - 7)",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.24, bodu=36, $$(\frac{11}{6} - (-9)) \cdot 1\frac{2}{6}=\textcolor{white}{14\frac{4}{9}}$$return {
["body"] = 36,
["id"] = "6D0MtN_0402_0421",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 14.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 9 },
["render"] = "\\frac{260}{18}",
["typ"] = "cislo" },
["tex"] = "14\\frac{4}{9}",
["x"] = 14,
["y"] = 4,
["z"] = 9 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.24",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6} - (-9)",
["typ"] = "minus" },
["render"] = "(\\frac{11}{6} - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{6} - (-9)) \\cdot 1\\frac{2}{6}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.25, bodu=23, $$(\frac{4 \cdot 10}{-11 - 4})^2=\textcolor{white}{7\frac{1}{9}}$$return {
["body"] = 23,
["id"] = "5tCBW1_0402_0421",
["obtiznost"] = 0.2792,
["reseni"] = {
["float"] = 7.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 9 },
["render"] = "\\frac{64}{9}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{9}",
["x"] = 7,
["y"] = 1,
["z"] = 9 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.25",
["zadani"] = {
["c"] = {
["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"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 - 4",
["typ"] = "minus" },
["render"] = "\\frac{4 \\cdot 10}{-11 - 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4 \\cdot 10}{-11 - 4})^2",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.26, bodu=25, $$-5 \cdot (\frac{11}{8 - 12})^2=\textcolor{white}{-37\frac{13}{16}}$$return {
["body"] = 25,
["id"] = "RphwWk_0402_0421",
["obtiznost"] = 0.3148,
["reseni"] = {
["float"] = -37.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -605,
["jmenovatel"] = 16 },
["render"] = "\\frac{-605}{16}",
["typ"] = "cislo" },
["tex"] = "-37\\frac{13}{16}",
["x"] = -37,
["y"] = 13,
["z"] = 16 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 - 12",
["typ"] = "minus" },
["render"] = "\\frac{11}{8 - 12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{8 - 12})^2",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (\\frac{11}{8 - 12})^2",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.27, bodu=39, $$1\frac{3}{4} - (6 + 8) + (\frac{-8}{8})^2=\textcolor{white}{-11{,}25}$$return {
["body"] = 39,
["id"] = "TDIYnW_0402_0421",
["obtiznost"] = 0.4708,
["reseni"] = {
["float"] = -11.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 4 },
["render"] = "\\frac{-45}{4}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1}{4}",
["tex_float"] = "-11{,}25",
["x"] = -11,
["y"] = 1,
["z"] = 4 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "(6 + 8)",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{4} - (6 + 8)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{8})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{4} - (6 + 8) + (\\frac{-8}{8})^2",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.28, bodu=84, $$2 \cdot (2\frac{4}{8} - 3\frac{4}{7} - 1\frac{1}{6})=\textcolor{white}{-4\frac{10}{21}}$$return {
["body"] = 84,
["id"] = "SqEz8W_0402_0421",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -4.4761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -94,
["jmenovatel"] = 21 },
["render"] = "\\frac{-94}{21}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{10}{21}",
["x"] = -4,
["y"] = 10,
["z"] = 21 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 3\\frac{4}{7} - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{8} - 3\\frac{4}{7} - 1\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "2 \\cdot (2\\frac{4}{8} - 3\\frac{4}{7} - 1\\frac{1}{6})",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.29, bodu=40, $$\frac{2\frac{5}{8} \cdot 13}{11 + (-10)}=\textcolor{white}{34{,}125}$$return {
["body"] = 40,
["id"] = "hC9EiM_0402_0421",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 34.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 273,
["jmenovatel"] = 8 },
["render"] = "\\frac{273}{8}",
["typ"] = "cislo" },
["tex"] = "34\\frac{1}{8}",
["tex_float"] = "34{,}125",
["x"] = 34,
["y"] = 1,
["z"] = 8 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{5}{8} \\cdot 13}{11 + (-10)}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.3, bodu=41, $$\frac{13 - 4\frac{2}{7}}{\frac{5}{8}}=\textcolor{white}{13\frac{33}{35}}$$return {
["body"] = 41,
["id"] = "CO49H0_0402_0421",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 13.942857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 488,
["jmenovatel"] = 35 },
["render"] = "\\frac{488}{35}",
["typ"] = "cislo" },
["tex"] = "13\\frac{33}{35}",
["x"] = 13,
["y"] = 33,
["z"] = 35 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "13 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{13 - 4\\frac{2}{7}}{\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.31, bodu=25, $$(7 - \frac{15}{-8}) \cdot (6 + 6)=\textcolor{white}{106{,}5}$$return {
["body"] = 25,
["id"] = "pyrsX9_0402_0421",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 106.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 213,
["jmenovatel"] = 2 },
["render"] = "\\frac{852}{8}",
["typ"] = "cislo" },
["tex"] = "106\\frac{1}{2}",
["tex_float"] = "106{,}5",
["x"] = 106,
["y"] = 1,
["z"] = 2 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "7 - \\frac{15}{-8}",
["typ"] = "minus" },
["render"] = "(7 - \\frac{15}{-8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "(6 + 6)",
["typ"] = "zavorka" },
["render"] = "(7 - \\frac{15}{-8}) \\cdot (6 + 6)",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.32, bodu=26, $$\frac{6 + (-2) + \frac{11}{8}}{5}=\textcolor{white}{1{,}075}$$return {
["body"] = 26,
["id"] = "Y34B3l_0402_0421",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 1.075,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 40 },
["render"] = "\\frac{43}{40}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{40}",
["tex_float"] = "1{,}075",
["x"] = 1,
["y"] = 3,
["z"] = 40 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "6 + (-2)",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "6 + (-2) + \\frac{11}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6 + (-2) + \\frac{11}{8}}{5}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.33, bodu=44, $$(10 \cdot 10 - 2\frac{4}{5}) \cdot 7=\textcolor{white}{680{,}4}$$return {
["body"] = 44,
["id"] = "ppedKG_0402_0421",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 680.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3402,
["jmenovatel"] = 5 },
["render"] = "\\frac{3402}{5}",
["typ"] = "cislo" },
["tex"] = "680\\frac{2}{5}",
["tex_float"] = "680{,}4",
["x"] = 680,
["y"] = 2,
["z"] = 5 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 10 - 2\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "(10 \\cdot 10 - 2\\frac{4}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(10 \\cdot 10 - 2\\frac{4}{5}) \\cdot 7",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.34, bodu=67, $$\frac{\frac{-9}{4\frac{4}{8} + 13} + 4}{2\frac{2}{5}}=\textcolor{white}{1\frac{19}{42}}$$return {
["body"] = 67,
["id"] = "FHoawt_0402_0421",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 1.452380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 42 },
["render"] = "\\frac{610}{420}",
["typ"] = "cislo" },
["tex"] = "1\\frac{19}{42}",
["x"] = 1,
["y"] = 19,
["z"] = 42 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 13",
["typ"] = "plus" },
["render"] = "\\frac{-9}{4\\frac{4}{8} + 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{4}{8} + 13} + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{4\\frac{4}{8} + 13} + 4}{2\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.35, bodu=46, $$\frac{\frac{4\frac{4}{9}}{-6}}{8 \cdot 7}=\textcolor{white}{-\frac{5}{378}}$$return {
["body"] = 46,
["id"] = "aOeDlU_0402_0421",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -0.013227513227513,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 378 },
["render"] = "\\frac{-20}{1512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{378}",
["y"] = -5,
["z"] = 378 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{4}{9}}{-6}}{8 \\cdot 7}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.36, bodu=57, $$(\frac{-12}{-6} - (-10) - (9 + 12))^3=\textcolor{white}{-729}$$return {
["body"] = 57,
["id"] = "HdFNn5_0402_0421",
["obtiznost"] = 0.652,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -729,
["jmenovatel"] = 1 },
["render"] = "\\frac{-729}{1}",
["typ"] = "cislo" },
["tex"] = "-729",
["x"] = -729 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.36",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-6} - (-10)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 12",
["typ"] = "plus" },
["render"] = "(9 + 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{-12}{-6} - (-10) - (9 + 12)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(\\frac{-12}{-6} - (-10) - (9 + 12))^3",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.37, bodu=48, $$3\frac{5}{8} + \frac{8}{8 \cdot 8}=\textcolor{white}{3{,}75}$$return {
["body"] = 48,
["id"] = "4ddkas_0402_0421",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "\\frac{30}{8}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{4}",
["tex_float"] = "3{,}75",
["x"] = 3,
["y"] = 3,
["z"] = 4 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{8}{8 \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{8} + \\frac{8}{8 \\cdot 8}",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.38, bodu=31, $$\frac{-9 + 7 - (-5 - (-12))}{10}=\textcolor{white}{-0{,}9}$$return {
["body"] = 31,
["id"] = "qTDnPO_0402_0421",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -0.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 10 },
["render"] = "\\frac{-9}{10}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{10}",
["tex_float"] = "-0{,}9",
["y"] = -9,
["z"] = 10 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 + 7",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-5 - (-12)",
["typ"] = "minus" },
["render"] = "(-5 - (-12))",
["typ"] = "zavorka" },
["render"] = "-9 + 7 - (-5 - (-12))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 7 - (-5 - (-12))}{10}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.39, bodu=80, $$2\frac{5}{10} + 3 + (\frac{5}{11})^2 + 1\frac{4}{8}=\textcolor{white}{7\frac{25}{121}}$$return {
["body"] = 80,
["id"] = "BVWomY_0402_0421",
["obtiznost"] = 0.8484,
["reseni"] = {
["float"] = 7.2066115702479,
["objekt"] = {
["hodnota"] = {
["citatel"] = 872,
["jmenovatel"] = 121 },
["render"] = "\\frac{3488}{484}",
["typ"] = "cislo" },
["tex"] = "7\\frac{25}{121}",
["x"] = 7,
["y"] = 25,
["z"] = 121 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 3",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{11})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{10} + 3 + (\\frac{5}{11})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 3 + (\\frac{5}{11})^2 + 1\\frac{4}{8}",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.4, bodu=32, $$\frac{-10}{-13 + (-6)} \cdot 7 \cdot 8=\textcolor{white}{29\frac{9}{19}}$$return {
["body"] = 32,
["id"] = "9gzpyL_0402_0421",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 29.473684210526,
["objekt"] = {
["hodnota"] = {
["citatel"] = 560,
["jmenovatel"] = 19 },
["render"] = "\\frac{560}{19}",
["typ"] = "cislo" },
["tex"] = "29\\frac{9}{19}",
["x"] = 29,
["y"] = 9,
["z"] = 19 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["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"] = "\\frac{-10}{-13 + (-6)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-13 + (-6)} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-13 + (-6)} \\cdot 7 \\cdot 8",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.41, bodu=55, $$(4 + 11) \cdot 1\frac{5}{8} - (\frac{-3}{12})^3=\textcolor{white}{24\frac{25}{64}}$$return {
["body"] = 55,
["id"] = "ytHn8p_0402_0421",
["obtiznost"] = 0.636,
["reseni"] = {
["float"] = 24.390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1561,
["jmenovatel"] = 64 },
["render"] = "\\frac{12488}{512}",
["typ"] = "cislo" },
["tex"] = "24\\frac{25}{64}",
["x"] = 24,
["y"] = 25,
["z"] = 64 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 + 11",
["typ"] = "plus" },
["render"] = "(4 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(4 + 11) \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-3}{12})^3",
["typ"] = "mocnina" },
["render"] = "(4 + 11) \\cdot 1\\frac{5}{8} - (\\frac{-3}{12})^3",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.42, bodu=17, $$(15 - (-14)) \cdot 12 + (-9 - (-11))=\textcolor{white}{350}$$return {
["body"] = 17,
["id"] = "NFbMbu_0402_0421",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 350,
["jmenovatel"] = 1 },
["render"] = "\\frac{350}{1}",
["typ"] = "cislo" },
["tex"] = "350",
["x"] = 350 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "15 - (-14)",
["typ"] = "minus" },
["render"] = "(15 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(15 - (-14)) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 - (-11)",
["typ"] = "minus" },
["render"] = "(15 - (-14)) \\cdot 12 + (-9 - (-11))",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.43, bodu=55, $$(-7 + (-13)) \cdot (-6 - 13 - 3\frac{1}{7})=\textcolor{white}{442\frac{6}{7}}$$return {
["body"] = 55,
["id"] = "3lCuN6_0402_0421",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 442.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3100,
["jmenovatel"] = 7 },
["render"] = "\\frac{3100}{7}",
["typ"] = "cislo" },
["tex"] = "442\\frac{6}{7}",
["x"] = 442,
["y"] = 6,
["z"] = 7 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-7 + (-13)",
["typ"] = "plus" },
["render"] = "(-7 + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-6 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-6 - 13 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(-6 - 13 - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(-7 + (-13)) \\cdot (-6 - 13 - 3\\frac{1}{7})",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.44, bodu=36, $$-9 + \frac{6}{10 - 5} \cdot -9=\textcolor{white}{-19{,}8}$$return {
["body"] = 36,
["id"] = "rY3SnS_0402_0421",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -19.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 5 },
["render"] = "\\frac{-99}{5}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{4}{5}",
["tex_float"] = "-19{,}8",
["x"] = -19,
["y"] = 4,
["z"] = 5 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 - 5",
["typ"] = "minus" },
["render"] = "\\frac{6}{10 - 5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10 - 5} \\cdot -9",
["typ"] = "krat" },
["render"] = "-9 + \\frac{6}{10 - 5} \\cdot -9",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.45, bodu=68, $$\frac{(9 - 13)^4}{-11 - \frac{-8}{2\frac{3}{6}}}=\textcolor{white}{-32\frac{32}{39}}$$return {
["body"] = 68,
["id"] = "3aXDDe_0402_0421",
["obtiznost"] = 0.7528,
["reseni"] = {
["float"] = -32.820512820513,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1280,
["jmenovatel"] = 39 },
["render"] = "\\frac{1280}{-39}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{32}{39}",
["x"] = -32,
["y"] = 32,
["z"] = 39 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 - 13",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 13)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{-8}{2\\frac{3}{6}}",
["typ"] = "minus" },
["render"] = "\\frac{(9 - 13)^4}{-11 - \\frac{-8}{2\\frac{3}{6}}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.46, bodu=58, $$-13 + (-10) + \frac{10}{-9} - 3\frac{2}{4} + (-3)=\textcolor{white}{-30\frac{11}{18}}$$return {
["body"] = 58,
["id"] = "6QnKXt_0402_0421",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -30.611111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -551,
["jmenovatel"] = 18 },
["render"] = "\\frac{-551}{18}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{11}{18}",
["x"] = -30,
["y"] = 11,
["z"] = 18 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-13 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9} - 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9} - 3\\frac{2}{4} + (-3)",
["typ"] = "plus" },
["render"] = "-13 + (-10) + \\frac{10}{-9} - 3\\frac{2}{4} + (-3)",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.47, bodu=21, $$((-10 + 13)^4 + 9) \cdot -10 \cdot -12=\textcolor{white}{10800}$$return {
["body"] = 21,
["id"] = "EsfpJD_0402_0421",
["obtiznost"] = 0.5028,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10800,
["jmenovatel"] = 1 },
["render"] = "\\frac{10800}{1}",
["typ"] = "cislo" },
["tex"] = "10800",
["tex_float"] = "10800",
["x"] = 10800 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 + 13",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-10 + 13)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-10 + 13)^4 + 9",
["typ"] = "plus" },
["render"] = "((-10 + 13)^4 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -12",
["typ"] = "krat" },
["render"] = "((-10 + 13)^4 + 9) \\cdot -10 \\cdot -12",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.48, bodu=101, $$1\frac{3}{8} + (-15) - 2\frac{5}{13} \cdot (13 - (-5))^2=\textcolor{white}{-786\frac{25}{104}}$$return {
["body"] = 101,
["id"] = "rI8fXB_0402_0421",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -786.24038461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81769,
["jmenovatel"] = 104 },
["render"] = "\\frac{-81769}{104}",
["typ"] = "cislo" },
["tex"] = "-786\\frac{25}{104}",
["x"] = -786,
["y"] = 25,
["z"] = 104 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{13} \\cdot (13 - (-5))^2",
["typ"] = "krat" },
["render"] = "1\\frac{3}{8} + (-15) - 2\\frac{5}{13} \\cdot (13 - (-5))^2",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.49, bodu=105, $$-16 - 4\frac{4}{7} + 8 - (-5 + (4 + 2\frac{2}{6})^2)=\textcolor{white}{-47\frac{43}{63}}$$return {
["body"] = 105,
["id"] = "dqKO4U_0402_0421",
["obtiznost"] = 1.038,
["reseni"] = {
["float"] = -47.68253968254,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3004,
["jmenovatel"] = 63 },
["render"] = "\\frac{-3004}{63}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{43}{63}",
["x"] = -47,
["y"] = 43,
["z"] = 63 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{4}{7} + 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4 + 2\\frac{2}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 2\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "-5 + (4 + 2\\frac{2}{6})^2",
["typ"] = "plus" },
["render"] = "(-5 + (4 + 2\\frac{2}{6})^2)",
["typ"] = "zavorka" },
["render"] = "-16 - 4\\frac{4}{7} + 8 - (-5 + (4 + 2\\frac{2}{6})^2)",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.5, bodu=41, $$\frac{-7}{-8 - 5} + 13 \cdot -6=\textcolor{white}{-77\frac{6}{13}}$$return {
["body"] = 41,
["id"] = "X8uKT8_0402_0421",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -77.461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1007,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1007}{13}",
["typ"] = "cislo" },
["tex"] = "-77\\frac{6}{13}",
["x"] = -77,
["y"] = 6,
["z"] = 13 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.5",
["zadani"] = {
["c1"] = {
["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"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 - 5",
["typ"] = "minus" },
["render"] = "\\frac{-7}{-8 - 5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "13 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{-7}{-8 - 5} + 13 \\cdot -6",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.51, bodu=63, $$2 \cdot \frac{12}{10} - (7 - 1\frac{3}{8})=\textcolor{white}{-3{,}225}$$return {
["body"] = 63,
["id"] = "Bfn76j_0402_0421",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -3.225,
["objekt"] = {
["hodnota"] = {
["citatel"] = -129,
["jmenovatel"] = 40 },
["render"] = "\\frac{-129}{40}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{9}{40}",
["tex_float"] = "-3{,}225",
["x"] = -3,
["y"] = 9,
["z"] = 40 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{10}",
["typ"] = "lomeno" },
["render"] = "2 \\cdot \\frac{12}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(7 - 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "2 \\cdot \\frac{12}{10} - (7 - 1\\frac{3}{8})",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.52, bodu=64, $$(12 + 14 + 13) \cdot -5 \cdot 2\frac{5}{9}=\textcolor{white}{-498\frac{1}{3}}$$return {
["body"] = 64,
["id"] = "hn6sFj_0402_0421",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -498.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1495,
["jmenovatel"] = 3 },
["render"] = "\\frac{-4485}{9}",
["typ"] = "cislo" },
["tex"] = "-498\\frac{1}{3}",
["x"] = -498,
["y"] = 1,
["z"] = 3 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.52",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 + 13",
["typ"] = "plus" },
["render"] = "12 + 14 + 13",
["typ"] = "plus" },
["render"] = "(12 + 14 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "(12 + 14 + 13) \\cdot -5 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.53, bodu=118, $$\frac{10 + 3\frac{2}{5}}{4\frac{3}{6} + 2\frac{2}{6} + (-13) + 9}=\textcolor{white}{4\frac{62}{85}}$$return {
["body"] = 118,
["id"] = "uhLF0n_0402_0421",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 4.7294117647059,
["objekt"] = {
["hodnota"] = {
["citatel"] = 402,
["jmenovatel"] = 85 },
["render"] = "\\frac{402}{85}",
["typ"] = "cislo" },
["tex"] = "4\\frac{62}{85}",
["x"] = 4,
["y"] = 62,
["z"] = 85 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 2\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 2\\frac{2}{6} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 2\\frac{2}{6} + (-13) + 9",
["typ"] = "plus" },
["render"] = "\\frac{10 + 3\\frac{2}{5}}{4\\frac{3}{6} + 2\\frac{2}{6} + (-13) + 9}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.54, bodu=67, $$(-15 + 2\frac{3}{6}) \cdot \frac{13}{17 \cdot 3}=\textcolor{white}{-3\frac{19}{102}}$$return {
["body"] = 67,
["id"] = "ga2CIF_0402_0421",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -3.1862745098039,
["objekt"] = {
["hodnota"] = {
["citatel"] = -325,
["jmenovatel"] = 102 },
["render"] = "\\frac{-325}{102}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{19}{102}",
["x"] = -3,
["y"] = 19,
["z"] = 102 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-15 + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(-15 + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "17 \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{13}{17 \\cdot 3}",
["typ"] = "lomeno" },
["render"] = "(-15 + 2\\frac{3}{6}) \\cdot \\frac{13}{17 \\cdot 3}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.55, bodu=120, $$2\frac{1}{2} \cdot 3\frac{4}{10} - (-10 + 9 - 3\frac{1}{4})=\textcolor{white}{12{,}75}$$return {
["body"] = 120,
["id"] = "4qGKDx_0402_0421",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 12.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 4 },
["render"] = "\\frac{102}{8}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{4}",
["tex_float"] = "12{,}75",
["x"] = 12,
["y"] = 3,
["z"] = 4 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-10 + 9 - 3\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(-10 + 9 - 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{2} \\cdot 3\\frac{4}{10} - (-10 + 9 - 3\\frac{1}{4})",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.56, bodu=122, $$\frac{3\frac{4}{11} - 11 + 1\frac{4}{10} + 6 - 10}{2\frac{2}{6}}=\textcolor{white}{-4\frac{149}{385}}$$return {
["body"] = 122,
["id"] = "vwTXn1_0402_0421",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -4.387012987013,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1689,
["jmenovatel"] = 385 },
["render"] = "\\frac{-1689}{385}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{149}{385}",
["x"] = -4,
["y"] = 149,
["z"] = 385 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + 6",
["typ"] = "plus" },
["render"] = "3\\frac{4}{11} - 11 + 1\\frac{4}{10} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 11 + 1\\frac{4}{10} + 6 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - 11 + 1\\frac{4}{10} + 6 - 10}{2\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.57, bodu=70, $$(12 - 3\frac{5}{9} \cdot 12) \cdot (-10 - (-3))=\textcolor{white}{214\frac{2}{3}}$$return {
["body"] = 70,
["id"] = "34FJAN_0402_0421",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 214.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 644,
["jmenovatel"] = 3 },
["render"] = "\\frac{644}{3}",
["typ"] = "cislo" },
["tex"] = "214\\frac{2}{3}",
["x"] = 214,
["y"] = 2,
["z"] = 3 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.57",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 12",
["typ"] = "krat" },
["render"] = "12 - 3\\frac{5}{9} \\cdot 12",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{5}{9} \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-10 - (-3)",
["typ"] = "minus" },
["render"] = "(-10 - (-3))",
["typ"] = "zavorka" },
["render"] = "(12 - 3\\frac{5}{9} \\cdot 12) \\cdot (-10 - (-3))",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.58, bodu=97, $$\frac{-6}{11 - 4\frac{1}{3}} \cdot (8 - 2\frac{1}{9})=\textcolor{white}{-5{,}3}$$return {
["body"] = 97,
["id"] = "LUoTot_0402_0421",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -5.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 10 },
["render"] = "\\frac{-477}{90}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{3}{10}",
["tex_float"] = "-5{,}3",
["x"] = -5,
["y"] = 3,
["z"] = 10 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "\\frac{-6}{11 - 4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(8 - 2\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{-6}{11 - 4\\frac{1}{3}} \\cdot (8 - 2\\frac{1}{9})",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.59, bodu=73, $$((13 + (-13)) \cdot (9 + (10 + (-11))^4 - 2\frac{5}{8}))^4=\textcolor{white}{0}$$return {
["body"] = 73,
["id"] = "27HJmO_0402_0421",
["obtiznost"] = 0.7912,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.59",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + (-13)",
["typ"] = "plus" },
["render"] = "(13 + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-11))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(10 + (-11))^4 - 2\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "9 + (10 + (-11))^4 - 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(9 + (10 + (-11))^4 - 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "(13 + (-13)) \\cdot (9 + (10 + (-11))^4 - 2\\frac{5}{8})",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "((13 + (-13)) \\cdot (9 + (10 + (-11))^4 - 2\\frac{5}{8}))^4",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.6, bodu=74, $$\frac{\frac{14 \cdot 7}{4\frac{4}{12}}}{\frac{11}{17}}=\textcolor{white}{34\frac{136}{143}}$$return {
["body"] = 74,
["id"] = "8KeYnQ_0402_0421",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 34.951048951049,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4998,
["jmenovatel"] = 143 },
["render"] = "\\frac{4998}{143}",
["typ"] = "cislo" },
["tex"] = "34\\frac{136}{143}",
["x"] = 34,
["y"] = 136,
["z"] = 143 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot 7}{4\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{11}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{14 \\cdot 7}{4\\frac{4}{12}}}{\\frac{11}{17}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.61, bodu=75, $$4 \cdot 14 \cdot \frac{12}{7 \cdot 2\frac{1}{5}}=\textcolor{white}{43\frac{7}{11}}$$return {
["body"] = 75,
["id"] = "Qe3efq_0402_0421",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 43.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 480,
["jmenovatel"] = 11 },
["render"] = "\\frac{3360}{77}",
["typ"] = "cislo" },
["tex"] = "43\\frac{7}{11}",
["x"] = 43,
["y"] = 7,
["z"] = 11 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 2\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "\\frac{12}{7 \\cdot 2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot 14 \\cdot \\frac{12}{7 \\cdot 2\\frac{1}{5}}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.62, bodu=104, $$1\frac{3}{9} + \frac{\frac{1\frac{3}{7}}{-14}}{(\frac{15}{9})^2}=\textcolor{white}{1\frac{218}{735}}$$return {
["body"] = 104,
["id"] = "JoVcm8_0402_0421",
["obtiznost"] = 1.0336,
["reseni"] = {
["float"] = 1.2965986394558,
["objekt"] = {
["hodnota"] = {
["citatel"] = 953,
["jmenovatel"] = 735 },
["render"] = "\\frac{953}{735}",
["typ"] = "cislo" },
["tex"] = "1\\frac{218}{735}",
["x"] = 1,
["y"] = 218,
["z"] = 735 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{1\\frac{3}{7}}{-14}}{(\\frac{15}{9})^2}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{9} + \\frac{\\frac{1\\frac{3}{7}}{-14}}{(\\frac{15}{9})^2}",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.63, bodu=78, $$-13 - \frac{11 + (-13) - 1\frac{2}{8} \cdot -13}{17}=\textcolor{white}{-13\frac{57}{68}}$$return {
["body"] = 78,
["id"] = "nxxRag_0402_0421",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -13.838235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = -941,
["jmenovatel"] = 68 },
["render"] = "\\frac{-941}{68}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{57}{68}",
["x"] = -13,
["y"] = 57,
["z"] = 68 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot -13",
["typ"] = "krat" },
["render"] = "11 + (-13) - 1\\frac{2}{8} \\cdot -13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{11 + (-13) - 1\\frac{2}{8} \\cdot -13}{17}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{11 + (-13) - 1\\frac{2}{8} \\cdot -13}{17}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.64, bodu=105, $$\frac{1\frac{2}{3}}{\frac{9}{\frac{15}{-16} + (-10) + 3\frac{5}{7}}}=\textcolor{white}{-1\frac{1021}{3024}}$$return {
["body"] = 105,
["id"] = "puavkh_0402_0421",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -1.3376322751323,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4045,
["jmenovatel"] = 3024 },
["render"] = "\\frac{4045}{-3024}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1021}{3024}",
["x"] = -1,
["y"] = 1021,
["z"] = 3024 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-16} + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-16} + (-10) + 3\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "\\frac{9}{\\frac{15}{-16} + (-10) + 3\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{3}}{\\frac{9}{\\frac{15}{-16} + (-10) + 3\\frac{5}{7}}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.65, bodu=106, $$11 \cdot ((2\frac{1}{4} - 1\frac{5}{9}) \cdot 12 - (-11))=\textcolor{white}{212\frac{2}{3}}$$return {
["body"] = 106,
["id"] = "yeOzac_0402_0421",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 212.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 638,
["jmenovatel"] = 3 },
["render"] = "\\frac{638}{3}",
["typ"] = "cislo" },
["tex"] = "212\\frac{2}{3}",
["x"] = 212,
["y"] = 2,
["z"] = 3 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{4} - 1\\frac{5}{9}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{4} - 1\\frac{5}{9}) \\cdot 12 - (-11)",
["typ"] = "minus" },
["render"] = "((2\\frac{1}{4} - 1\\frac{5}{9}) \\cdot 12 - (-11))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot ((2\\frac{1}{4} - 1\\frac{5}{9}) \\cdot 12 - (-11))",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.66, bodu=120, $$3\frac{1}{7} \cdot (\frac{4\frac{2}{5}}{4})^2 \cdot (\frac{13}{13})^2=\textcolor{white}{3\frac{281}{350}}$$return {
["body"] = 120,
["id"] = "fkXNDL_0402_0421",
["obtiznost"] = 1.1492,
["reseni"] = {
["float"] = 3.8028571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1331,
["jmenovatel"] = 350 },
["render"] = "\\frac{2662}{700}",
["typ"] = "cislo" },
["tex"] = "3\\frac{281}{350}",
["x"] = 3,
["y"] = 281,
["z"] = 350 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{2}{5}}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{13})^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{4\\frac{2}{5}}{4})^2 \\cdot (\\frac{13}{13})^2",
["typ"] = "krat" },
["render"] = "3\\frac{1}{7} \\cdot (\\frac{4\\frac{2}{5}}{4})^2 \\cdot (\\frac{13}{13})^2",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.67, bodu=59, $$18 \cdot (8 - 13 + \frac{11}{13} - (-10))=\textcolor{white}{105\frac{3}{13}}$$return {
["body"] = 59,
["id"] = "aRCAwu_0402_0421",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 105.23076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1368,
["jmenovatel"] = 13 },
["render"] = "\\frac{1368}{13}",
["typ"] = "cislo" },
["tex"] = "105\\frac{3}{13}",
["x"] = 105,
["y"] = 3,
["z"] = 13 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["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"] = "minus" },
["c2"] = {
["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"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{13} - (-10)",
["typ"] = "minus" },
["render"] = "8 - 13 + \\frac{11}{13} - (-10)",
["typ"] = "plus" },
["render"] = "(8 - 13 + \\frac{11}{13} - (-10))",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (8 - 13 + \\frac{11}{13} - (-10))",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.68, bodu=111, $$4\frac{3}{8} - (-8) - (10 - (-11) - (-17 + 1\frac{1}{2}))=\textcolor{white}{-24{,}125}$$return {
["body"] = 111,
["id"] = "sraleL_0402_0421",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -24.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -193,
["jmenovatel"] = 8 },
["render"] = "\\frac{-386}{16}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{1}{8}",
["tex_float"] = "-24{,}125",
["x"] = -24,
["y"] = 1,
["z"] = 8 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - (-8)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["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"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-17 + 1\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(-17 + 1\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "10 - (-11) - (-17 + 1\\frac{1}{2})",
["typ"] = "minus" },
["render"] = "(10 - (-11) - (-17 + 1\\frac{1}{2}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} - (-8) - (10 - (-11) - (-17 + 1\\frac{1}{2}))",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.69, bodu=86, $$(-9 + 20 \cdot -8 + 2\frac{5}{9}) \cdot (9 + (-6))^2=\textcolor{white}{-1498}$$return {
["body"] = 86,
["id"] = "4ZFJ2l_0402_0421",
["obtiznost"] = 0.894,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1498,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13482}{9}",
["typ"] = "cislo" },
["tex"] = "-1498",
["x"] = -1498 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "20 \\cdot -8",
["typ"] = "krat" },
["render"] = "-9 + 20 \\cdot -8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-9 + 20 \\cdot -8 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(-9 + 20 \\cdot -8 + 2\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (-6))^2",
["typ"] = "mocnina" },
["render"] = "(-9 + 20 \\cdot -8 + 2\\frac{5}{9}) \\cdot (9 + (-6))^2",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.7, bodu=175, $$2\frac{4}{8} \cdot \frac{\frac{-17}{4\frac{1}{8} + 2\frac{1}{9}}}{-12 + 1\frac{3}{6}}=\textcolor{white}{\frac{2040}{3143}}$$return {
["body"] = 175,
["id"] = "aRddT2_0402_0421",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 0.64906140629971,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2040,
["jmenovatel"] = 3143 },
["render"] = "\\frac{4080}{6286}",
["typ"] = "cislo" },
["tex"] = "\\frac{2040}{3143}",
["y"] = 2040,
["z"] = 3143 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} + 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-17}{4\\frac{1}{8} + 2\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-17}{4\\frac{1}{8} + 2\\frac{1}{9}}}{-12 + 1\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{8} \\cdot \\frac{\\frac{-17}{4\\frac{1}{8} + 2\\frac{1}{9}}}{-12 + 1\\frac{3}{6}}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.71, bodu=88, $$\frac{18}{20} - (2\frac{1}{4} \cdot -14 - (-7))=\textcolor{white}{25{,}4}$$return {
["body"] = 88,
["id"] = "MfSPCw_0402_0421",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 25.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127,
["jmenovatel"] = 5 },
["render"] = "\\frac{508}{20}",
["typ"] = "cislo" },
["tex"] = "25\\frac{2}{5}",
["tex_float"] = "25{,}4",
["x"] = 25,
["y"] = 2,
["z"] = 5 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{18}{20}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot -14 - (-7)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} \\cdot -14 - (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{18}{20} - (2\\frac{1}{4} \\cdot -14 - (-7))",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.72, bodu=146, $$\frac{4\frac{5}{14}}{-9} - \frac{3\frac{1}{9}}{\frac{-3}{1\frac{1}{9}}}=\textcolor{white}{\frac{2273}{3402}}$$return {
["body"] = 146,
["id"] = "2Bp1RH_0402_0421",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 0.66813639035861,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2273,
["jmenovatel"] = 3402 },
["render"] = "\\frac{20457}{30618}",
["typ"] = "cislo" },
["tex"] = "\\frac{2273}{3402}",
["y"] = 2273,
["z"] = 3402 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{14}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{1\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{9}}{\\frac{-3}{1\\frac{1}{9}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{14}}{-9} - \\frac{3\\frac{1}{9}}{\\frac{-3}{1\\frac{1}{9}}}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.73, bodu=66, $$\frac{\frac{7}{-13 + (-14) + 6 \cdot 9}}{-11}=\textcolor{white}{-\frac{7}{297}}$$return {
["body"] = 66,
["id"] = "FbNTPQ_0402_0421",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -0.023569023569024,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 297 },
["render"] = "\\frac{7}{-297}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{297}",
["y"] = -7,
["z"] = 297 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9",
["typ"] = "krat" },
["render"] = "-13 + (-14) + 6 \\cdot 9",
["typ"] = "plus" },
["render"] = "\\frac{7}{-13 + (-14) + 6 \\cdot 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{-13 + (-14) + 6 \\cdot 9}}{-11}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.74, bodu=149, $$\frac{4\frac{3}{10} \cdot (-13 + 1\frac{5}{11})}{8} + (-14) - 1\frac{5}{8}=\textcolor{white}{-21\frac{731}{880}}$$return {
["body"] = 149,
["id"] = "yPZ5Ai_0402_0421",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -21.830681818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19211,
["jmenovatel"] = 880 },
["render"] = "\\frac{-153688}{7040}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{731}{880}",
["x"] = -21,
["y"] = 731,
["z"] = 880 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-13 + 1\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{10} \\cdot (-13 + 1\\frac{5}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10} \\cdot (-13 + 1\\frac{5}{11})}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10} \\cdot (-13 + 1\\frac{5}{11})}{8} + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10} \\cdot (-13 + 1\\frac{5}{11})}{8} + (-14) - 1\\frac{5}{8}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.75, bodu=93, $$\frac{-10}{\frac{4\frac{4}{9} - (-11)}{14 \cdot 14}}=\textcolor{white}{-126\frac{126}{139}}$$return {
["body"] = 93,
["id"] = "U3EfXI_0402_0421",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -126.90647482014,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17640,
["jmenovatel"] = 139 },
["render"] = "\\frac{-17640}{139}",
["typ"] = "cislo" },
["tex"] = "-126\\frac{126}{139}",
["x"] = -126,
["y"] = 126,
["z"] = 139 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{9} - (-11)}{14 \\cdot 14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10}{\\frac{4\\frac{4}{9} - (-11)}{14 \\cdot 14}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.76, bodu=122, $$1\frac{4}{11} \cdot 4\frac{1}{9} + (-6 + (-10 - 14) \cdot -12)=\textcolor{white}{287\frac{20}{33}}$$return {
["body"] = 122,
["id"] = "NbGYI5_0402_0421",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 287.60606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9491,
["jmenovatel"] = 33 },
["render"] = "\\frac{9491}{33}",
["typ"] = "cislo" },
["tex"] = "287\\frac{20}{33}",
["x"] = 287,
["y"] = 20,
["z"] = 33 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} \\cdot 4\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 - 14",
["typ"] = "minus" },
["render"] = "(-10 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(-10 - 14) \\cdot -12",
["typ"] = "krat" },
["render"] = "-6 + (-10 - 14) \\cdot -12",
["typ"] = "plus" },
["render"] = "1\\frac{4}{11} \\cdot 4\\frac{1}{9} + (-6 + (-10 - 14) \\cdot -12)",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.77, bodu=95, $$1\frac{5}{12} \cdot \frac{-11 \cdot 12}{-13} - (-12)=\textcolor{white}{26\frac{5}{13}}$$return {
["body"] = 95,
["id"] = "oExYhS_0402_0421",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 26.384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 13 },
["render"] = "\\frac{343}{13}",
["typ"] = "cislo" },
["tex"] = "26\\frac{5}{13}",
["x"] = 26,
["y"] = 5,
["z"] = 13 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 12}{-13}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{12} \\cdot \\frac{-11 \\cdot 12}{-13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot \\frac{-11 \\cdot 12}{-13} - (-12)",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.78, bodu=101, $$\frac{3\frac{1}{5}}{\frac{(-13 - (-16))^4}{5 - 16}}=\textcolor{white}{-\frac{176}{405}}$$return {
["body"] = 101,
["id"] = "0XXk9k_0402_0421",
["obtiznost"] = 1.0128,
["reseni"] = {
["float"] = -0.43456790123457,
["objekt"] = {
["hodnota"] = {
["citatel"] = -176,
["jmenovatel"] = 405 },
["render"] = "\\frac{176}{-405}",
["typ"] = "cislo" },
["tex"] = "-\\frac{176}{405}",
["y"] = -176,
["z"] = 405 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-13 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-13 - (-16))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "5 - 16",
["typ"] = "minus" },
["render"] = "\\frac{(-13 - (-16))^4}{5 - 16}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{5}}{\\frac{(-13 - (-16))^4}{5 - 16}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.79, bodu=73, $$\frac{13}{\frac{11}{16}} + 14 \cdot -15=\textcolor{white}{-191\frac{1}{11}}$$return {
["body"] = 73,
["id"] = "IxpAOX_0402_0421",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -191.09090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2102,
["jmenovatel"] = 11 },
["render"] = "\\frac{-2102}{11}",
["typ"] = "cislo" },
["tex"] = "-191\\frac{1}{11}",
["x"] = -191,
["y"] = 1,
["z"] = 11 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{11}{16}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "14 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{13}{\\frac{11}{16}} + 14 \\cdot -15",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.8, bodu=168, $$\frac{18 + \frac{2\frac{2}{11}}{1\frac{2}{5}}}{2\frac{4}{11}} - (-7 - (-19))^2=\textcolor{white}{-135\frac{66}{91}}$$return {
["body"] = 168,
["id"] = "vd4Fdn_0402_0421",
["obtiznost"] = 1.458,
["reseni"] = {
["float"] = -135.72527472527,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12351,
["jmenovatel"] = 91 },
["render"] = "\\frac{-12351}{91}",
["typ"] = "cislo" },
["tex"] = "-135\\frac{66}{91}",
["x"] = -135,
["y"] = 66,
["z"] = 91 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{11}}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "18 + \\frac{2\\frac{2}{11}}{1\\frac{2}{5}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{18 + \\frac{2\\frac{2}{11}}{1\\frac{2}{5}}}{2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-7 - (-19)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - (-19))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{18 + \\frac{2\\frac{2}{11}}{1\\frac{2}{5}}}{2\\frac{4}{11}} - (-7 - (-19))^2",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.81, bodu=79, $$\frac{(\frac{6}{-18})^4}{(-9 - 14) \cdot \frac{-7}{6}}=\textcolor{white}{\frac{2}{4347}}$$return {
["body"] = 79,
["id"] = "3OvJsO_0402_0421",
["obtiznost"] = 0.8428,
["reseni"] = {
["float"] = 0.00046008741660916,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 4347 },
["render"] = "\\frac{6}{13041}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{4347}",
["y"] = 2,
["z"] = 4347 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.81",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{-18})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 - 14",
["typ"] = "minus" },
["render"] = "(-9 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{6}",
["typ"] = "lomeno" },
["render"] = "(-9 - 14) \\cdot \\frac{-7}{6}",
["typ"] = "krat" },
["render"] = "\\frac{(\\frac{6}{-18})^4}{(-9 - 14) \\cdot \\frac{-7}{6}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.82, bodu=131, $$1\frac{2}{12} \cdot (13 + 1\frac{4}{9}) \cdot -18 \cdot (-13 + 11)^2=\textcolor{white}{-1213\frac{1}{3}}$$return {
["body"] = 131,
["id"] = "leF6li_0402_0421",
["obtiznost"] = 1.222,
["reseni"] = {
["float"] = -1213.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3640,
["jmenovatel"] = 3 },
["render"] = "\\frac{-3640}{3}",
["typ"] = "cislo" },
["tex"] = "-1213\\frac{1}{3}",
["x"] = -1213,
["y"] = 1,
["z"] = 3 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(13 + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{12} \\cdot (13 + 1\\frac{4}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{12} \\cdot (13 + 1\\frac{4}{9}) \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + 11)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{12} \\cdot (13 + 1\\frac{4}{9}) \\cdot -18 \\cdot (-13 + 11)^2",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.83, bodu=163, $$1\frac{2}{7} \cdot -10 + \frac{2}{3\frac{3}{12}} - 12 \cdot 3\frac{3}{5}=\textcolor{white}{-55\frac{201}{455}}$$return {
["body"] = 163,
["id"] = "H4RM4U_0402_0421",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -55.441758241758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25226,
["jmenovatel"] = 455 },
["render"] = "\\frac{-25226}{455}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{201}{455}",
["x"] = -55,
["y"] = 201,
["z"] = 455 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2}{3\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "\\frac{2}{3\\frac{3}{12}} - 12 \\cdot 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{7} \\cdot -10 + \\frac{2}{3\\frac{3}{12}} - 12 \\cdot 3\\frac{3}{5}",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.84, bodu=199, $$12 - (\frac{13}{-11} + 1\frac{2}{6} + (2\frac{1}{3} - 3\frac{5}{12}) \cdot 4\frac{3}{5})=\textcolor{white}{16\frac{183}{220}}$$return {
["body"] = 199,
["id"] = "jvR7f6_0402_0421",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 16.831818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3703,
["jmenovatel"] = 220 },
["render"] = "\\frac{3703}{220}",
["typ"] = "cislo" },
["tex"] = "16\\frac{183}{220}",
["x"] = 16,
["y"] = 183,
["z"] = 220 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11} + 1\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{3} - 3\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{3} - 3\\frac{5}{12}) \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "\\frac{13}{-11} + 1\\frac{2}{6} + (2\\frac{1}{3} - 3\\frac{5}{12}) \\cdot 4\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(\\frac{13}{-11} + 1\\frac{2}{6} + (2\\frac{1}{3} - 3\\frac{5}{12}) \\cdot 4\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "12 - (\\frac{13}{-11} + 1\\frac{2}{6} + (2\\frac{1}{3} - 3\\frac{5}{12}) \\cdot 4\\frac{3}{5})",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.85, bodu=167, $$(1\frac{4}{9} \cdot -15 + 12) \cdot \frac{2\frac{4}{13}}{4 + 1\frac{4}{9}}=\textcolor{white}{-4\frac{62}{637}}$$return {
["body"] = 167,
["id"] = "gmRdmt_0402_0421",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -4.0973312401884,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2610,
["jmenovatel"] = 637 },
["render"] = "\\frac{-7830}{1911}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{62}{637}",
["x"] = -4,
["y"] = 62,
["z"] = 637 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot -15 + 12",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{9} \\cdot -15 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4 + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{13}}{4 + 1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{4}{9} \\cdot -15 + 12) \\cdot \\frac{2\\frac{4}{13}}{4 + 1\\frac{4}{9}}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.86, bodu=137, $$\frac{\frac{2\frac{1}{7}}{-13}}{12 - 3\frac{5}{10} \cdot 7 + (-14)}=\textcolor{white}{\frac{30}{4823}}$$return {
["body"] = 137,
["id"] = "MS4x39_0402_0421",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 0.0062201948994402,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 4823 },
["render"] = "\\frac{-30}{-4823}",
["typ"] = "cislo" },
["tex"] = "\\frac{30}{4823}",
["y"] = 30,
["z"] = 4823 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 7",
["typ"] = "krat" },
["render"] = "12 - 3\\frac{5}{10} \\cdot 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{5}{10} \\cdot 7 + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{1}{7}}{-13}}{12 - 3\\frac{5}{10} \\cdot 7 + (-14)}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.87, bodu=204, $$(2\frac{2}{8} + (-20)) \cdot (-16 - 4\frac{5}{11} + 11 + 2\frac{5}{10}) - 4\frac{4}{10}=\textcolor{white}{119\frac{19}{440}}$$return {
["body"] = 204,
["id"] = "KLyJDx_0402_0421",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 119.04318181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52379,
["jmenovatel"] = 440 },
["render"] = "\\frac{52379}{440}",
["typ"] = "cislo" },
["tex"] = "119\\frac{19}{440}",
["x"] = 119,
["y"] = 19,
["z"] = 440 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + (-20)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{8} + (-20))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{5}{11} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{5}{11} + 11 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-16 - 4\\frac{5}{11} + 11 + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{8} + (-20)) \\cdot (-16 - 4\\frac{5}{11} + 11 + 2\\frac{5}{10})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{8} + (-20)) \\cdot (-16 - 4\\frac{5}{11} + 11 + 2\\frac{5}{10}) - 4\\frac{4}{10}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.88, bodu=172, $$\frac{1\frac{4}{10} + 2\frac{1}{8} - \frac{14}{3\frac{5}{12}}}{\frac{1\frac{4}{4}}{21}}=\textcolor{white}{-6\frac{39}{3280}}$$return {
["body"] = 172,
["id"] = "wnIcu2_0402_0421",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -6.0118902439024,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19719,
["jmenovatel"] = 3280 },
["render"] = "\\frac{-19719}{3280}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{39}{3280}",
["x"] = -6,
["y"] = 39,
["z"] = 3280 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + 2\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{10} + 2\\frac{1}{8} - \\frac{14}{3\\frac{5}{12}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{4}}{21}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{10} + 2\\frac{1}{8} - \\frac{14}{3\\frac{5}{12}}}{\\frac{1\\frac{4}{4}}{21}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.89, bodu=243, $$(4\frac{5}{8} - 4\frac{2}{5} - (2\frac{1}{6} - 1\frac{3}{4}) \cdot 2\frac{1}{12}) \cdot 12=\textcolor{white}{-7\frac{43}{60}}$$return {
["body"] = 243,
["id"] = "8ZwxMS_0402_0421",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = -7.7166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -463,
["jmenovatel"] = 60 },
["render"] = "\\frac{-5556}{720}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{43}{60}",
["x"] = -7,
["y"] = 43,
["z"] = 60 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - 4\\frac{2}{5}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - 1\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "2\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{6} - 1\\frac{3}{4}) \\cdot 2\\frac{1}{12}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} - 4\\frac{2}{5} - (2\\frac{1}{6} - 1\\frac{3}{4}) \\cdot 2\\frac{1}{12}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{8} - 4\\frac{2}{5} - (2\\frac{1}{6} - 1\\frac{3}{4}) \\cdot 2\\frac{1}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{8} - 4\\frac{2}{5} - (2\\frac{1}{6} - 1\\frac{3}{4}) \\cdot 2\\frac{1}{12}) \\cdot 12",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.9, bodu=245, $$\frac{4\frac{5}{10} - (-2)}{1\frac{1}{6}} + \frac{3\frac{2}{5} - 4\frac{1}{9}}{4\frac{2}{5}}=\textcolor{white}{5\frac{284}{693}}$$return {
["body"] = 245,
["id"] = "25ta9a_0402_0421",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = 5.4098124098124,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3749,
["jmenovatel"] = 693 },
["render"] = "\\frac{3749}{693}",
["typ"] = "cislo" },
["tex"] = "5\\frac{284}{693}",
["x"] = 5,
["y"] = 284,
["z"] = 693 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - (-2)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10} - (-2)}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 4\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5} - 4\\frac{1}{9}}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{10} - (-2)}{1\\frac{1}{6}} + \\frac{3\\frac{2}{5} - 4\\frac{1}{9}}{4\\frac{2}{5}}",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.91, bodu=211, $$\frac{4\frac{3}{9} - (-11)}{\frac{19 - 4\frac{1}{7}}{2\frac{3}{5} \cdot 2\frac{3}{4}}}=\textcolor{white}{7\frac{91}{240}}$$return {
["body"] = 211,
["id"] = "ub5vVi_0402_0421",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 7.3791666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1771,
["jmenovatel"] = 240 },
["render"] = "\\frac{3542}{480}",
["typ"] = "cislo" },
["tex"] = "7\\frac{91}{240}",
["x"] = 7,
["y"] = 91,
["z"] = 240 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "19 - 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 2\\frac{3}{4}",
["typ"] = "krat" },
["render"] = "\\frac{19 - 4\\frac{1}{7}}{2\\frac{3}{5} \\cdot 2\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{9} - (-11)}{\\frac{19 - 4\\frac{1}{7}}{2\\frac{3}{5} \\cdot 2\\frac{3}{4}}}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.92, bodu=213, $$\frac{8 + (-15)}{3\frac{4}{10} \cdot (1\frac{1}{9} \cdot 2\frac{1}{9} + 4\frac{4}{13})}=\textcolor{white}{-\frac{36855}{119102}}$$return {
["body"] = 213,
["id"] = "AhDd6t_0402_0421",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = -0.30944064751222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36855,
["jmenovatel"] = 119102 },
["render"] = "\\frac{-36855}{119102}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36855}{119102}",
["y"] = -36855,
["z"] = 119102 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 2\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 2\\frac{1}{9} + 4\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{9} \\cdot 2\\frac{1}{9} + 4\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{10} \\cdot (1\\frac{1}{9} \\cdot 2\\frac{1}{9} + 4\\frac{4}{13})",
["typ"] = "krat" },
["render"] = "\\frac{8 + (-15)}{3\\frac{4}{10} \\cdot (1\\frac{1}{9} \\cdot 2\\frac{1}{9} + 4\\frac{4}{13})}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.93, bodu=180, $$(4\frac{5}{12} + 1\frac{5}{8} + 4\frac{5}{11}) \cdot \frac{-14 \cdot -15}{20}=\textcolor{white}{110\frac{37}{176}}$$return {
["body"] = 180,
["id"] = "TBmr2W_0402_0421",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 110.21022727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19397,
["jmenovatel"] = 176 },
["render"] = "\\frac{58191}{528}",
["typ"] = "cislo" },
["tex"] = "110\\frac{37}{176}",
["x"] = 110,
["y"] = 37,
["z"] = 176 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{12} + 1\\frac{5}{8} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{12} + 1\\frac{5}{8} + 4\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot -15}{20}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{12} + 1\\frac{5}{8} + 4\\frac{5}{11}) \\cdot \\frac{-14 \\cdot -15}{20}",
["typ"] = "krat" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.94, bodu=218, $$\frac{11}{-19} + (1\frac{2}{10} - 4\frac{2}{10})^3 + (-9 \cdot (3\frac{3}{9} + 1\frac{1}{10}))=\textcolor{white}{-67\frac{91}{190}}$$return {
["body"] = 218,
["id"] = "pwlrLz_0402_0421",
["obtiznost"] = 1.7512,
["reseni"] = {
["float"] = -67.478947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12821,
["jmenovatel"] = 190 },
["render"] = "\\frac{-12821}{190}",
["typ"] = "cislo" },
["tex"] = "-67\\frac{91}{190}",
["x"] = -67,
["y"] = 91,
["z"] = 190 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - 4\\frac{2}{10}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{2}{10} - 4\\frac{2}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} + 1\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{9} + 1\\frac{1}{10})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (3\\frac{3}{9} + 1\\frac{1}{10})",
["typ"] = "krat" },
["render"] = "(1\\frac{2}{10} - 4\\frac{2}{10})^3 + (-9 \\cdot (3\\frac{3}{9} + 1\\frac{1}{10}))",
["typ"] = "plus" },
["render"] = "\\frac{11}{-19} + (1\\frac{2}{10} - 4\\frac{2}{10})^3 + (-9 \\cdot (3\\frac{3}{9} + 1\\frac{1}{10}))",
["typ"] = "plus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.95, bodu=222, $$\frac{2\frac{2}{8}}{(2\frac{5}{12} + (-5) + \frac{12 + 12 - 1\frac{2}{6}}{16})^3}=\textcolor{white}{-1\frac{143}{343}}$$return {
["body"] = 222,
["id"] = "Z1oqiw_0402_0421",
["obtiznost"] = 1.7736,
["reseni"] = {
["float"] = -1.4169096209913,
["objekt"] = {
["hodnota"] = {
["citatel"] = -486,
["jmenovatel"] = 343 },
["render"] = "\\frac{1944}{-1372}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{143}{343}",
["x"] = -1,
["y"] = 143,
["z"] = 343 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + (-5)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "12 - 1\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "12 + 12 - 1\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 12 - 1\\frac{2}{6}}{16}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{12} + (-5) + \\frac{12 + 12 - 1\\frac{2}{6}}{16}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{5}{12} + (-5) + \\frac{12 + 12 - 1\\frac{2}{6}}{16})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{2}{8}}{(2\\frac{5}{12} + (-5) + \\frac{12 + 12 - 1\\frac{2}{6}}{16})^3}",
["typ"] = "lomeno" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.96, bodu=259, $$(2\frac{3}{10} \cdot 10)^2 - (2\frac{2}{8} \cdot -16 - \frac{4\frac{1}{8}}{2\frac{4}{7}})=\textcolor{white}{566\frac{29}{48}}$$return {
["body"] = 259,
["id"] = "2lOUgZ_0402_0421",
["obtiznost"] = 1.972,
["reseni"] = {
["float"] = 566.60416666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27197,
["jmenovatel"] = 48 },
["render"] = "\\frac{27197}{48}",
["typ"] = "cislo" },
["tex"] = "566\\frac{29}{48}",
["x"] = 566,
["y"] = 29,
["z"] = 48 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.96",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} \\cdot 10",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{3}{10} \\cdot 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{8} \\cdot -16 - \\frac{4\\frac{1}{8}}{2\\frac{4}{7}}",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{8} \\cdot -16 - \\frac{4\\frac{1}{8}}{2\\frac{4}{7}})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{10} \\cdot 10)^2 - (2\\frac{2}{8} \\cdot -16 - \\frac{4\\frac{1}{8}}{2\\frac{4}{7}})",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.97, bodu=154, $$1\frac{1}{10} - (-19) - \frac{3\frac{1}{9}}{16 \cdot 22 - 8}=\textcolor{white}{20\frac{176}{1935}}$$return {
["body"] = 154,
["id"] = "cIDTBV_0402_0421",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 20.090956072351,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38876,
["jmenovatel"] = 1935 },
["render"] = "\\frac{155504}{7740}",
["typ"] = "cislo" },
["tex"] = "20\\frac{176}{1935}",
["x"] = 20,
["y"] = 176,
["z"] = 1935 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - (-19)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "16 \\cdot 22 - 8",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{1}{9}}{16 \\cdot 22 - 8}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{10} - (-19) - \\frac{3\\frac{1}{9}}{16 \\cdot 22 - 8}",
["typ"] = "minus" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.98, bodu=156, $$(((-15 - (-15))^3 \cdot (17 - 3\frac{1}{7}) \cdot 17)^2 \cdot 2\frac{1}{3})^3=\textcolor{white}{0}$$return {
["body"] = 156,
["id"] = "xzRGzQ_0402_0421",
["obtiznost"] = 1.3812,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.98",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-15 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-15 - (-15))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(17 - 3\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(17 - 3\\frac{1}{7}) \\cdot 17",
["typ"] = "krat" },
["render"] = "(-15 - (-15))^3 \\cdot (17 - 3\\frac{1}{7}) \\cdot 17",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-15 - (-15))^3 \\cdot (17 - 3\\frac{1}{7}) \\cdot 17)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "((-15 - (-15))^3 \\cdot (17 - 3\\frac{1}{7}) \\cdot 17)^2 \\cdot 2\\frac{1}{3}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(((-15 - (-15))^3 \\cdot (17 - 3\\frac{1}{7}) \\cdot 17)^2 \\cdot 2\\frac{1}{3})^3",
["typ"] = "mocnina" } }
seed: pahM7Pi7EM4EAXDNgnPC_0.99, bodu=225, $$\frac{4\frac{3}{9} - 2\frac{1}{9}}{(1\frac{5}{10} - (-21)) \cdot \frac{1\frac{4}{10}}{19}}=\textcolor{white}{1\frac{193}{567}}$$return {
["body"] = 225,
["id"] = "9v5Esl_0402_0421",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 1.3403880070547,
["objekt"] = {
["hodnota"] = {
["citatel"] = 760,
["jmenovatel"] = 567 },
["render"] = "\\frac{760}{567}",
["typ"] = "cislo" },
["tex"] = "1\\frac{193}{567}",
["x"] = 1,
["y"] = 193,
["z"] = 567 },
["seed"] = "pahM7Pi7EM4EAXDNgnPC_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - 2\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - (-21)",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{10} - (-21))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{19}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{5}{10} - (-21)) \\cdot \\frac{1\\frac{4}{10}}{19}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{9} - 2\\frac{1}{9}}{(1\\frac{5}{10} - (-21)) \\cdot \\frac{1\\frac{4}{10}}{19}}",
["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: 
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untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 