- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 8kP1Cl4b4jz93syddsUT_0, bodu=10, $$\frac{-4}{5 \cdot 7}=\textcolor{white}{-\frac{4}{35}}$$return {
["body"] = 10,
["id"] = "OHucfT_0404_0518",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -0.11428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 35 },
["render"] = "\\frac{-4}{35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{35}",
["y"] = -4,
["z"] = 35 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["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{-4}{5 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.01, bodu=5, $$5 - 2 - (9 - 9)=\textcolor{white}{3}$$return {
["body"] = 5,
["id"] = "cujHeC_0404_0518",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{1}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "5 - 2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["render"] = "(9 - 9)",
["typ"] = "zavorka" },
["render"] = "5 - 2 - (9 - 9)",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.02, bodu=10, $$\frac{8 \cdot 7}{8}=\textcolor{white}{7}$$return {
["body"] = 10,
["id"] = "jCYYnU_0404_0518",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "\\frac{56}{8}",
["typ"] = "cislo" },
["tex"] = "7",
["x"] = 7 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.02",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 7}{8}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.03, bodu=5, $$4 - 6 - 5 - 9=\textcolor{white}{-16}$$return {
["body"] = 5,
["id"] = "h8H7ea_0404_0518",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16}{1}",
["typ"] = "cislo" },
["tex"] = "-16",
["tex_float"] = "-16",
["x"] = -16 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 - 6 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 6 - 5 - 9",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.04, bodu=14, $$(6 \cdot \frac{-5}{-8})^2=\textcolor{white}{14\frac{1}{16}}$$return {
["body"] = 14,
["id"] = "59SCyW_0404_0518",
["obtiznost"] = 0.1364,
["reseni"] = {
["float"] = 14.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 16 },
["render"] = "\\frac{225}{16}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1}{16}",
["x"] = 14,
["y"] = 1,
["z"] = 16 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.04",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["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"] = "6 \\cdot \\frac{-5}{-8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot \\frac{-5}{-8})^2",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.05, bodu=5, $$-8 + 9 - (5 - 4)^3=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "8VyHsm_0404_0518",
["obtiznost"] = 0.0508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 + 9",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - 4)^3",
["typ"] = "mocnina" },
["render"] = "-8 + 9 - (5 - 4)^3",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.06, bodu=15, $$(\frac{-7}{7 \cdot -4})^4=\textcolor{white}{\frac{1}{256}}$$return {
["body"] = 15,
["id"] = "0n5SCU_0404_0518",
["obtiznost"] = 0.1628,
["reseni"] = {
["float"] = 0.00390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 256 },
["render"] = "\\frac{1}{256}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{256}",
["y"] = 1,
["z"] = 256 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 \\cdot -4",
["typ"] = "krat" },
["render"] = "\\frac{-7}{7 \\cdot -4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-7}{7 \\cdot -4})^4",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.07, bodu=5, $$3 + 6 \cdot (6 - (-4))=\textcolor{white}{63}$$return {
["body"] = 5,
["id"] = "B5rawd_0404_0518",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{63}{1}",
["typ"] = "cislo" },
["tex"] = "63",
["x"] = 63 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "6 - (-4)",
["typ"] = "minus" },
["render"] = "(6 - (-4))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (6 - (-4))",
["typ"] = "krat" },
["render"] = "3 + 6 \\cdot (6 - (-4))",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.08, bodu=12, $$\frac{9}{4} \cdot 8=\textcolor{white}{18}$$return {
["body"] = 12,
["id"] = "NJzVcL_0404_0518",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{4}",
["typ"] = "cislo" },
["tex"] = "18",
["tex_float"] = "18",
["x"] = 18 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4} \\cdot 8",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.09, bodu=13, $$(\frac{6}{-10})^2 \cdot 3=\textcolor{white}{1{,}08}$$return {
["body"] = 13,
["id"] = "E8VtyU_0404_0518",
["obtiznost"] = 0.1036,
["reseni"] = {
["float"] = 1.08,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 25 },
["render"] = "\\frac{27}{25}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2}{25}",
["tex_float"] = "1{,}08",
["x"] = 1,
["y"] = 2,
["z"] = 25 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{-10})^2 \\cdot 3",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.1, bodu=6, $$-7 \cdot 8 \cdot 6=\textcolor{white}{-336}$$return {
["body"] = 6,
["id"] = "ZDAbwv_0404_0518",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -336,
["jmenovatel"] = 1 },
["render"] = "\\frac{-336}{1}",
["typ"] = "cislo" },
["tex"] = "-336",
["tex_float"] = "-336",
["x"] = -336 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "-7 \\cdot 8 \\cdot 6",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.11, bodu=25, $$11 \cdot 4\frac{2}{6} \cdot 8=\textcolor{white}{381\frac{1}{3}}$$return {
["body"] = 25,
["id"] = "EWgIjf_0404_0518",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 381.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1144,
["jmenovatel"] = 3 },
["render"] = "\\frac{1144}{3}",
["typ"] = "cislo" },
["tex"] = "381\\frac{1}{3}",
["x"] = 381,
["y"] = 1,
["z"] = 3 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{2}{6} \\cdot 8",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.12, bodu=26, $$\frac{4\frac{4}{6}}{11 - 7} + (-10)=\textcolor{white}{-8\frac{5}{6}}$$return {
["body"] = 26,
["id"] = "tMEiXC_0404_0518",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -8.8333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 6 },
["render"] = "\\frac{-53}{6}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5}{6}",
["x"] = -8,
["y"] = 5,
["z"] = 6 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 7",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{6}}{11 - 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{11 - 7} + (-10)",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.13, bodu=7, $$10 \cdot 6 \cdot 8=\textcolor{white}{480}$$return {
["body"] = 7,
["id"] = "HC5WWX_0404_0518",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 480,
["jmenovatel"] = 1 },
["render"] = "\\frac{480}{1}",
["typ"] = "cislo" },
["tex"] = "480",
["x"] = 480 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot 8",
["typ"] = "krat" },
["render"] = "10 \\cdot 6 \\cdot 8",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.14, bodu=27, $$(2\frac{2}{5} + 11) \cdot (9 + 8)=\textcolor{white}{227{,}8}$$return {
["body"] = 27,
["id"] = "JzECnN_0404_0518",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 227.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1139,
["jmenovatel"] = 5 },
["render"] = "\\frac{1139}{5}",
["typ"] = "cislo" },
["tex"] = "227\\frac{4}{5}",
["tex_float"] = "227{,}8",
["x"] = 227,
["y"] = 4,
["z"] = 5 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + 11",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{5} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "(9 + 8)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{5} + 11) \\cdot (9 + 8)",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.15, bodu=44, $$(4\frac{3}{6} + 6)^2 \cdot (8 + 13)=\textcolor{white}{2315{,}25}$$return {
["body"] = 44,
["id"] = "uJbjQL_0404_0518",
["obtiznost"] = 0.528,
["reseni"] = {
["float"] = 2315.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9261,
["jmenovatel"] = 4 },
["render"] = "\\frac{9261}{4}",
["typ"] = "cislo" },
["tex"] = "2315\\frac{1}{4}",
["tex_float"] = "2315{,}25",
["x"] = 2315,
["y"] = 1,
["z"] = 4 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.15",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{6} + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 + 13",
["typ"] = "plus" },
["render"] = "(8 + 13)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{6} + 6)^2 \\cdot (8 + 13)",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.16, bodu=16, $$(\frac{6}{2 - (-10)} \cdot 6)^3=\textcolor{white}{27}$$return {
["body"] = 16,
["id"] = "p6UnWY_0404_0518",
["obtiznost"] = 0.1712,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 1 },
["render"] = "\\frac{27}{1}",
["typ"] = "cislo" },
["tex"] = "27",
["tex_float"] = "27",
["x"] = 27 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{6}{2 - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2 - (-10)} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{2 - (-10)} \\cdot 6)^3",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.17, bodu=16, $$6 \cdot \frac{10}{7}=\textcolor{white}{8\frac{4}{7}}$$return {
["body"] = 16,
["id"] = "nNIdkf_0404_0518",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 8.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 7 },
["render"] = "\\frac{60}{7}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{7}",
["x"] = 8,
["y"] = 4,
["z"] = 7 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{10}{7}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.18, bodu=48, $$9 - (\frac{4\frac{1}{5}}{8 - 9})^2=\textcolor{white}{-8{,}64}$$return {
["body"] = 48,
["id"] = "Fv4vIQ_0404_0518",
["obtiznost"] = 0.5664,
["reseni"] = {
["float"] = -8.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 25 },
["render"] = "\\frac{-216}{25}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{16}{25}",
["tex_float"] = "-8{,}64",
["x"] = -8,
["y"] = 16,
["z"] = 25 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{5}}{8 - 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{1}{5}}{8 - 9})^2",
["typ"] = "mocnina" },
["render"] = "9 - (\\frac{4\\frac{1}{5}}{8 - 9})^2",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.19, bodu=17, $$\frac{6 + (-10)}{\frac{4}{7}}=\textcolor{white}{-7}$$return {
["body"] = 17,
["id"] = "3h4V41_0404_0518",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-28}{4}",
["typ"] = "cislo" },
["tex"] = "-7",
["x"] = -7 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{6 + (-10)}{\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.2, bodu=18, $$\frac{9 \cdot -9 \cdot 11}{11}=\textcolor{white}{-81}$$return {
["body"] = 18,
["id"] = "orGfl7_0404_0518",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 1 },
["render"] = "\\frac{-891}{11}",
["typ"] = "cislo" },
["tex"] = "-81",
["x"] = -81 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -9 \\cdot 11}{11}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.21, bodu=18, $$\frac{3}{(\frac{6}{6})^4 \cdot 8}=\textcolor{white}{0{,}375}$$return {
["body"] = 18,
["id"] = "PfQEWR_0404_0518",
["obtiznost"] = 0.2108,
["reseni"] = {
["float"] = 0.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 8 },
["render"] = "\\frac{3}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{8}",
["tex_float"] = "0{,}375",
["y"] = 3,
["z"] = 8 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{6})^4 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{3}{(\\frac{6}{6})^4 \\cdot 8}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.22, bodu=34, $$\frac{(5 + 2\frac{5}{10}) \cdot 9}{9 + 7}=\textcolor{white}{4\frac{7}{32}}$$return {
["body"] = 34,
["id"] = "sA21W0_0404_0518",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 4.21875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 32 },
["render"] = "\\frac{135}{32}",
["typ"] = "cislo" },
["tex"] = "4\\frac{7}{32}",
["x"] = 4,
["y"] = 7,
["z"] = 32 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(5 + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(5 + 2\\frac{5}{10}) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "\\frac{(5 + 2\\frac{5}{10}) \\cdot 9}{9 + 7}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.23, bodu=19, $$\frac{4}{13 \cdot 8} - 9=\textcolor{white}{-8\frac{25}{26}}$$return {
["body"] = 19,
["id"] = "Nz6nNA_0404_0518",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -8.9615384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -233,
["jmenovatel"] = 26 },
["render"] = "\\frac{-233}{26}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{25}{26}",
["x"] = -8,
["y"] = 25,
["z"] = 26 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{4}{13 \\cdot 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{13 \\cdot 8} - 9",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.24, bodu=36, $$-11 + 10 + 3\frac{1}{4} + \frac{4}{4}=\textcolor{white}{3{,}25}$$return {
["body"] = 36,
["id"] = "ubwt6E_0404_0518",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 3.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "\\frac{13}{4}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{4}",
["tex_float"] = "3{,}25",
["x"] = 3,
["y"] = 1,
["z"] = 4 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{4}{4}",
["typ"] = "lomeno" },
["render"] = "10 + 3\\frac{1}{4} + \\frac{4}{4}",
["typ"] = "plus" },
["render"] = "-11 + 10 + 3\\frac{1}{4} + \\frac{4}{4}",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.25, bodu=21, $$\frac{10}{\frac{-8}{-9}} \cdot 4=\textcolor{white}{45}$$return {
["body"] = 21,
["id"] = "oF8ksI_0404_0518",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{4}",
["typ"] = "cislo" },
["tex"] = "45",
["tex_float"] = "45",
["x"] = 45 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{-8}{-9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10}{\\frac{-8}{-9}} \\cdot 4",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.26, bodu=41, $$\frac{-5}{\frac{1\frac{5}{10}}{(5 - 8)^4} + 11}=\textcolor{white}{-\frac{54}{119}}$$return {
["body"] = 41,
["id"] = "ai4MeV_0404_0518",
["obtiznost"] = 0.4928,
["reseni"] = {
["float"] = -0.45378151260504,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 119 },
["render"] = "\\frac{-270}{595}",
["typ"] = "cislo" },
["tex"] = "-\\frac{54}{119}",
["y"] = -54,
["z"] = 119 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 8)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{10}}{(5 - 8)^4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{(5 - 8)^4} + 11",
["typ"] = "plus" },
["render"] = "\\frac{-5}{\\frac{1\\frac{5}{10}}{(5 - 8)^4} + 11}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.27, bodu=11, $$-11 - 12 - 7 \cdot 7=\textcolor{white}{-72}$$return {
["body"] = 11,
["id"] = "UML6MZ_0404_0518",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 1 },
["render"] = "\\frac{-72}{1}",
["typ"] = "cislo" },
["tex"] = "-72",
["tex_float"] = "-72",
["x"] = -72 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "-11 - 12 - 7 \\cdot 7",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.28, bodu=23, $$\frac{9}{\frac{11}{8}} \cdot 4=\textcolor{white}{26\frac{2}{11}}$$return {
["body"] = 23,
["id"] = "nSs31G_0404_0518",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 26.181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 288,
["jmenovatel"] = 11 },
["render"] = "\\frac{288}{11}",
["typ"] = "cislo" },
["tex"] = "26\\frac{2}{11}",
["x"] = 26,
["y"] = 2,
["z"] = 11 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{11}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{\\frac{11}{8}} \\cdot 4",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.29, bodu=33, $$(\frac{-6}{-4 \cdot 9 - 8 + 10})^2=\textcolor{white}{\frac{9}{289}}$$return {
["body"] = 33,
["id"] = "aAgzxd_0404_0518",
["obtiznost"] = 0.4092,
["reseni"] = {
["float"] = 0.031141868512111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 289 },
["render"] = "\\frac{9}{289}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{289}",
["y"] = 9,
["z"] = 289 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.29",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 9 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 9 - 8 + 10",
["typ"] = "plus" },
["render"] = "\\frac{-6}{-4 \\cdot 9 - 8 + 10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{-4 \\cdot 9 - 8 + 10})^2",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.3, bodu=62, $$\frac{9}{2\frac{3}{6} + 1\frac{3}{7} \cdot -6}=\textcolor{white}{-1\frac{41}{85}}$$return {
["body"] = 62,
["id"] = "MYiXFH_0404_0518",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -1.4823529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 85 },
["render"] = "\\frac{126}{-85}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{41}{85}",
["x"] = -1,
["y"] = 41,
["z"] = 85 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot -6",
["typ"] = "krat" },
["render"] = "2\\frac{3}{6} + 1\\frac{3}{7} \\cdot -6",
["typ"] = "plus" },
["render"] = "\\frac{9}{2\\frac{3}{6} + 1\\frac{3}{7} \\cdot -6}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.31, bodu=25, $$\frac{9}{11} + 10 + 8 - 4=\textcolor{white}{14\frac{9}{11}}$$return {
["body"] = 25,
["id"] = "udnJrG_0404_0518",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 14.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 163,
["jmenovatel"] = 11 },
["render"] = "\\frac{163}{11}",
["typ"] = "cislo" },
["tex"] = "14\\frac{9}{11}",
["x"] = 14,
["y"] = 9,
["z"] = 11 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{11} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - 4",
["typ"] = "minus" },
["render"] = "\\frac{9}{11} + 10 + 8 - 4",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.32, bodu=43, $$\frac{-13}{\frac{9}{10} + 4\frac{2}{6} + 6}=\textcolor{white}{-1\frac{53}{337}}$$return {
["body"] = 43,
["id"] = "2YH0Rm_0404_0518",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -1.1572700296736,
["objekt"] = {
["hodnota"] = {
["citatel"] = -390,
["jmenovatel"] = 337 },
["render"] = "\\frac{-390}{337}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{53}{337}",
["x"] = -1,
["y"] = 53,
["z"] = 337 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10} + 4\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10} + 4\\frac{2}{6} + 6",
["typ"] = "plus" },
["render"] = "\\frac{-13}{\\frac{9}{10} + 4\\frac{2}{6} + 6}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.33, bodu=27, $$\frac{(7 - 9)^3}{12 \cdot 6}=\textcolor{white}{-\frac{1}{9}}$$return {
["body"] = 27,
["id"] = "cFXBqj_0404_0518",
["obtiznost"] = 0.3336,
["reseni"] = {
["float"] = -0.11111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 9 },
["render"] = "\\frac{-8}{72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{9}",
["y"] = -1,
["z"] = 9 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{(7 - 9)^3}{12 \\cdot 6}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.34, bodu=49, $$8 \cdot \frac{1\frac{5}{10}}{(-6 + 9)^4}=\textcolor{white}{\frac{4}{27}}$$return {
["body"] = 49,
["id"] = "PcYDf7_0404_0518",
["obtiznost"] = 0.5728,
["reseni"] = {
["float"] = 0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 27 },
["render"] = "\\frac{8}{54}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{27}",
["y"] = 4,
["z"] = 27 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 + 9",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-6 + 9)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{10}}{(-6 + 9)^4}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{1\\frac{5}{10}}{(-6 + 9)^4}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.35, bodu=46, $$-10 \cdot (10 - 4\frac{5}{9}) - (-13)=\textcolor{white}{-41\frac{4}{9}}$$return {
["body"] = 46,
["id"] = "uQtg5T_0404_0518",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -41.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -373,
["jmenovatel"] = 9 },
["render"] = "\\frac{-373}{9}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{4}{9}",
["x"] = -41,
["y"] = 4,
["z"] = 9 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(10 - 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (10 - 4\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (10 - 4\\frac{5}{9}) - (-13)",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.36, bodu=29, $$\frac{\frac{7}{-5} + (-9)}{12 + 7}=\textcolor{white}{-\frac{52}{95}}$$return {
["body"] = 29,
["id"] = "T7njmG_0404_0518",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -0.54736842105263,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 95 },
["render"] = "\\frac{-52}{95}",
["typ"] = "cislo" },
["tex"] = "-\\frac{52}{95}",
["y"] = -52,
["z"] = 95 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-5} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 7",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{7}{-5} + (-9)}{12 + 7}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.37, bodu=48, $$-14 + 4 \cdot \frac{1\frac{1}{6}}{6}=\textcolor{white}{-13\frac{2}{9}}$$return {
["body"] = 48,
["id"] = "JLpsML_0404_0518",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -13.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -119,
["jmenovatel"] = 9 },
["render"] = "\\frac{-119}{9}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{2}{9}",
["x"] = -13,
["y"] = 2,
["z"] = 9 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{6}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{1\\frac{1}{6}}{6}",
["typ"] = "krat" },
["render"] = "-14 + 4 \\cdot \\frac{1\\frac{1}{6}}{6}",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.38, bodu=97, $$4\frac{1}{5} \cdot 9 - 3\frac{4}{8} - 4\frac{3}{4}=\textcolor{white}{29{,}55}$$return {
["body"] = 97,
["id"] = "1VdiW9_0404_0518",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 29.55,
["objekt"] = {
["hodnota"] = {
["citatel"] = 591,
["jmenovatel"] = 20 },
["render"] = "\\frac{1182}{40}",
["typ"] = "cislo" },
["tex"] = "29\\frac{11}{20}",
["tex_float"] = "29{,}55",
["x"] = 29,
["y"] = 11,
["z"] = 20 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 9 - 3\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 9 - 3\\frac{4}{8} - 4\\frac{3}{4}",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.39, bodu=31, $$\frac{9}{14 \cdot 13 \cdot 4}=\textcolor{white}{\frac{9}{728}}$$return {
["body"] = 31,
["id"] = "Y0EkEl_0404_0518",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.012362637362637,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 728 },
["render"] = "\\frac{9}{728}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{728}",
["y"] = 9,
["z"] = 728 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "14 \\cdot 13 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{9}{14 \\cdot 13 \\cdot 4}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.4, bodu=81, $$3\frac{2}{4} - 10 + 10 \cdot (\frac{10}{-16})^3=\textcolor{white}{-8\frac{241}{256}}$$return {
["body"] = 81,
["id"] = "WONVg6_0404_0518",
["obtiznost"] = 0.8548,
["reseni"] = {
["float"] = -8.94140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2289,
["jmenovatel"] = 256 },
["render"] = "\\frac{-4578}{512}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{241}{256}",
["x"] = -8,
["y"] = 241,
["z"] = 256 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{-16})^3",
["typ"] = "mocnina" },
["render"] = "10 \\cdot (\\frac{10}{-16})^3",
["typ"] = "krat" },
["render"] = "3\\frac{2}{4} - 10 + 10 \\cdot (\\frac{10}{-16})^3",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.41, bodu=101, $$9 \cdot \frac{8}{2\frac{3}{6} \cdot (3\frac{2}{8} - 1\frac{4}{8})}=\textcolor{white}{16\frac{16}{35}}$$return {
["body"] = 101,
["id"] = "wPA0CZ_0404_0518",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 16.457142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 35 },
["render"] = "\\frac{576}{35}",
["typ"] = "cislo" },
["tex"] = "16\\frac{16}{35}",
["x"] = 16,
["y"] = 16,
["z"] = 35 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 1\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 1\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} \\cdot (3\\frac{2}{8} - 1\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "\\frac{8}{2\\frac{3}{6} \\cdot (3\\frac{2}{8} - 1\\frac{4}{8})}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{8}{2\\frac{3}{6} \\cdot (3\\frac{2}{8} - 1\\frac{4}{8})}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.42, bodu=17, $$(-11 \cdot 9 + 12) \cdot -5 \cdot 11=\textcolor{white}{4785}$$return {
["body"] = 17,
["id"] = "rGs6bY_0404_0518",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4785,
["jmenovatel"] = 1 },
["render"] = "\\frac{4785}{1}",
["typ"] = "cislo" },
["tex"] = "4785",
["tex_float"] = "4785",
["x"] = 4785 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9 + 12",
["typ"] = "plus" },
["render"] = "(-11 \\cdot 9 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 11",
["typ"] = "krat" },
["render"] = "(-11 \\cdot 9 + 12) \\cdot -5 \\cdot 11",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.43, bodu=35, $$-8 \cdot \frac{-15 \cdot -9}{11 + 9}=\textcolor{white}{-54}$$return {
["body"] = 35,
["id"] = "EtBWEn_0404_0518",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 1 },
["render"] = "\\frac{-216}{4}",
["typ"] = "cislo" },
["tex"] = "-54",
["tex_float"] = "-54",
["x"] = -54 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-15 \\cdot -9}{11 + 9}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{-15 \\cdot -9}{11 + 9}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.44, bodu=90, $$(-10 + (-7) - 10)^2 \cdot \frac{3\frac{2}{5}}{7}=\textcolor{white}{354\frac{3}{35}}$$return {
["body"] = 90,
["id"] = "gwG4LZ_0404_0518",
["obtiznost"] = 0.932,
["reseni"] = {
["float"] = 354.08571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12393,
["jmenovatel"] = 35 },
["render"] = "\\frac{12393}{35}",
["typ"] = "cislo" },
["tex"] = "354\\frac{3}{35}",
["x"] = 354,
["y"] = 3,
["z"] = 35 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 + (-7) - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-7) - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{7}",
["typ"] = "lomeno" },
["render"] = "(-10 + (-7) - 10)^2 \\cdot \\frac{3\\frac{2}{5}}{7}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.45, bodu=57, $$\frac{-7 \cdot 12 + (-12 - (-12))^3}{1\frac{4}{9}}=\textcolor{white}{-58\frac{2}{13}}$$return {
["body"] = 57,
["id"] = "eHVFew_0404_0518",
["obtiznost"] = 0.6504,
["reseni"] = {
["float"] = -58.153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = -756,
["jmenovatel"] = 13 },
["render"] = "\\frac{-756}{13}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{2}{13}",
["x"] = -58,
["y"] = 2,
["z"] = 13 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-12))^3",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot 12 + (-12 - (-12))^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 12 + (-12 - (-12))^3}{1\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.46, bodu=38, $$\frac{14}{\frac{9}{11 - (-13)} - 10}=\textcolor{white}{-1\frac{5}{11}}$$return {
["body"] = 38,
["id"] = "g6bAof_0404_0518",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -1.4545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 11 },
["render"] = "\\frac{112}{-77}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{11}",
["x"] = -1,
["y"] = 5,
["z"] = 11 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{9}{11 - (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{11 - (-13)} - 10",
["typ"] = "minus" },
["render"] = "\\frac{14}{\\frac{9}{11 - (-13)} - 10}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.47, bodu=38, $$\frac{-10}{\frac{5}{6 + (-18)} + 13 - 3}=\textcolor{white}{-1\frac{1}{23}}$$return {
["body"] = 38,
["id"] = "cdmSA9_0404_0518",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -1.0434782608696,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 23 },
["render"] = "\\frac{-120}{115}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{23}",
["x"] = -1,
["y"] = 1,
["z"] = 23 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "6 + (-18)",
["typ"] = "plus" },
["render"] = "\\frac{5}{6 + (-18)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "13 - 3",
["typ"] = "minus" },
["render"] = "\\frac{5}{6 + (-18)} + 13 - 3",
["typ"] = "plus" },
["render"] = "\\frac{-10}{\\frac{5}{6 + (-18)} + 13 - 3}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.48, bodu=60, $$\frac{2\frac{2}{6} - (12 + 5)}{4 - (-18)}=\textcolor{white}{-\frac{2}{3}}$$return {
["body"] = 60,
["id"] = "EwgpaO_0404_0518",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -0.66666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 3 },
["render"] = "\\frac{-44}{66}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{3}",
["y"] = -2,
["z"] = 3 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 + 5",
["typ"] = "plus" },
["render"] = "(12 + 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{6} - (12 + 5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4 - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{6} - (12 + 5)}{4 - (-18)}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.49, bodu=85, $$-4 + \frac{4\frac{3}{7}}{-9} \cdot 9 + 4\frac{4}{9}=\textcolor{white}{-3\frac{62}{63}}$$return {
["body"] = 85,
["id"] = "W70CIW_0404_0518",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -3.984126984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = -251,
["jmenovatel"] = 63 },
["render"] = "\\frac{-251}{63}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{62}{63}",
["x"] = -3,
["y"] = 62,
["z"] = 63 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{-9} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{7}}{-9} \\cdot 9 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "-4 + \\frac{4\\frac{3}{7}}{-9} \\cdot 9 + 4\\frac{4}{9}",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.5, bodu=45, $$((10 - 9) \cdot (-9 + 14 - 1\frac{4}{4})^2)^2=\textcolor{white}{81}$$return {
["body"] = 45,
["id"] = "JxoVAJ_0404_0518",
["obtiznost"] = 0.5368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["tex_float"] = "81",
["x"] = 81 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.5",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["render"] = "(10 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["render"] = "14 - 1\\frac{4}{4}",
["typ"] = "minus" },
["render"] = "-9 + 14 - 1\\frac{4}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 14 - 1\\frac{4}{4})^2",
["typ"] = "mocnina" },
["render"] = "(10 - 9) \\cdot (-9 + 14 - 1\\frac{4}{4})^2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((10 - 9) \\cdot (-9 + 14 - 1\\frac{4}{4})^2)^2",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.51, bodu=63, $$\frac{\frac{14}{\frac{17}{-8}}}{1\frac{2}{7}}=\textcolor{white}{-5\frac{19}{153}}$$return {
["body"] = 63,
["id"] = "zXcvWv_0404_0518",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -5.1241830065359,
["objekt"] = {
["hodnota"] = {
["citatel"] = -784,
["jmenovatel"] = 153 },
["render"] = "\\frac{-784}{153}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{19}{153}",
["x"] = -5,
["y"] = 19,
["z"] = 153 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{17}{-8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{\\frac{17}{-8}}}{1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.52, bodu=89, $$14 \cdot -8 + 3\frac{2}{5} - 9 - 2\frac{2}{4}=\textcolor{white}{-120{,}1}$$return {
["body"] = 89,
["id"] = "QIEw1q_0404_0518",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -120.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1201,
["jmenovatel"] = 10 },
["render"] = "\\frac{-1201}{10}",
["typ"] = "cislo" },
["tex"] = "-120\\frac{1}{10}",
["tex_float"] = "-120{,}1",
["x"] = -120,
["y"] = 1,
["z"] = 10 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} - 9",
["typ"] = "minus" },
["render"] = "14 \\cdot -8 + 3\\frac{2}{5} - 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "14 \\cdot -8 + 3\\frac{2}{5} - 9 - 2\\frac{2}{4}",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.53, bodu=66, $$\frac{\frac{-11}{1\frac{1}{8}} - 4}{-11 - 16}=\textcolor{white}{\frac{124}{243}}$$return {
["body"] = 66,
["id"] = "dtgkZM_0404_0518",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 0.51028806584362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 124,
["jmenovatel"] = 243 },
["render"] = "\\frac{-124}{-243}",
["typ"] = "cislo" },
["tex"] = "\\frac{124}{243}",
["y"] = 124,
["z"] = 243 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{1\\frac{1}{8}} - 4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 - 16",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-11}{1\\frac{1}{8}} - 4}{-11 - 16}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.54, bodu=92, $$\frac{3\frac{2}{9} + 12}{2\frac{3}{7} + (-12)} \cdot 10=\textcolor{white}{-15\frac{545}{603}}$$return {
["body"] = 92,
["id"] = "1LGH5k_0404_0518",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -15.903814262023,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9590,
["jmenovatel"] = 603 },
["render"] = "\\frac{-9590}{603}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{545}{603}",
["x"] = -15,
["y"] = 545,
["z"] = 603 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{9} + 12}{2\\frac{3}{7} + (-12)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9} + 12}{2\\frac{3}{7} + (-12)} \\cdot 10",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.55, bodu=68, $$\frac{2\frac{4}{9} - \frac{11 \cdot -10}{10}}{-13}=\textcolor{white}{-1\frac{4}{117}}$$return {
["body"] = 68,
["id"] = "tWm9KS_0404_0518",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -1.034188034188,
["objekt"] = {
["hodnota"] = {
["citatel"] = -121,
["jmenovatel"] = 117 },
["render"] = "\\frac{121}{-117}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{4}{117}",
["x"] = -1,
["y"] = 4,
["z"] = 117 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot -10}{10}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{9} - \\frac{11 \\cdot -10}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} - \\frac{11 \\cdot -10}{10}}{-13}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.56, bodu=122, $$\frac{4\frac{3}{7} - 5 - 2\frac{3}{6}}{8 - 3\frac{3}{7}}=\textcolor{white}{-\frac{43}{64}}$$return {
["body"] = 122,
["id"] = "FOK2N5_0404_0518",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -0.671875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 64 },
["render"] = "\\frac{-301}{448}",
["typ"] = "cislo" },
["tex"] = "-\\frac{43}{64}",
["y"] = -43,
["z"] = 64 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - 5 - 2\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{7} - 5 - 2\\frac{3}{6}}{8 - 3\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.57, bodu=123, $$\frac{3\frac{5}{8} + 3\frac{1}{7} - \frac{-15}{11}}{2\frac{2}{4}}=\textcolor{white}{3\frac{389}{1540}}$$return {
["body"] = 123,
["id"] = "nW4xXy_0404_0518",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 3.2525974025974,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5009,
["jmenovatel"] = 1540 },
["render"] = "\\frac{10018}{3080}",
["typ"] = "cislo" },
["tex"] = "3\\frac{389}{1540}",
["x"] = 3,
["y"] = 389,
["z"] = 1540 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + 3\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{11}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{8} + 3\\frac{1}{7} - \\frac{-15}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8} + 3\\frac{1}{7} - \\frac{-15}{11}}{2\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.58, bodu=71, $$\frac{-13}{-14} + (-12 - 1\frac{1}{6} \cdot 7)=\textcolor{white}{-19\frac{5}{21}}$$return {
["body"] = 71,
["id"] = "SARcqk_0404_0518",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -19.238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -404,
["jmenovatel"] = 21 },
["render"] = "\\frac{-1616}{84}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{5}{21}",
["x"] = -19,
["y"] = 5,
["z"] = 21 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 7",
["typ"] = "krat" },
["render"] = "-12 - 1\\frac{1}{6} \\cdot 7",
["typ"] = "minus" },
["render"] = "\\frac{-13}{-14} + (-12 - 1\\frac{1}{6} \\cdot 7)",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.59, bodu=73, $$(11 - (-14 \cdot 13)) \cdot 2\frac{2}{9} - 11=\textcolor{white}{417\frac{8}{9}}$$return {
["body"] = 73,
["id"] = "42wQOc_0404_0518",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 417.88888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3761,
["jmenovatel"] = 9 },
["render"] = "\\frac{3761}{9}",
["typ"] = "cislo" },
["tex"] = "417\\frac{8}{9}",
["x"] = 417,
["y"] = 8,
["z"] = 9 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["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 \\cdot 13",
["typ"] = "krat" },
["render"] = "11 - (-14 \\cdot 13)",
["typ"] = "minus" },
["render"] = "(11 - (-14 \\cdot 13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(11 - (-14 \\cdot 13)) \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(11 - (-14 \\cdot 13)) \\cdot 2\\frac{2}{9} - 11",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.6, bodu=100, $$1\frac{2}{4} \cdot 13 \cdot (11 + (-7)) \cdot (3\frac{5}{9} - 13)=\textcolor{white}{-736\frac{2}{3}}$$return {
["body"] = 100,
["id"] = "aHnD7B_0404_0518",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -736.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2210,
["jmenovatel"] = 3 },
["render"] = "\\frac{-13260}{18}",
["typ"] = "cislo" },
["tex"] = "-736\\frac{2}{3}",
["x"] = -736,
["y"] = 2,
["z"] = 3 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 + (-7)",
["typ"] = "plus" },
["render"] = "(11 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 13",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{9} - 13)",
["typ"] = "zavorka" },
["render"] = "(11 + (-7)) \\cdot (3\\frac{5}{9} - 13)",
["typ"] = "krat" },
["render"] = "1\\frac{2}{4} \\cdot 13 \\cdot (11 + (-7)) \\cdot (3\\frac{5}{9} - 13)",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.61, bodu=138, $$(\frac{-16}{-10})^3 + \frac{2\frac{1}{8} \cdot -14}{2\frac{4}{12}}=\textcolor{white}{-8{,}654}$$return {
["body"] = 138,
["id"] = "G5Qpl3_0404_0518",
["obtiznost"] = 1.2648,
["reseni"] = {
["float"] = -8.654,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4327,
["jmenovatel"] = 500 },
["render"] = "\\frac{-4327}{500}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{327}{500}",
["tex_float"] = "-8{,}654",
["x"] = -8,
["y"] = 327,
["z"] = 500 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.61",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-16}{-10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8} \\cdot -14}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-16}{-10})^3 + \\frac{2\\frac{1}{8} \\cdot -14}{2\\frac{4}{12}}",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.62, bodu=131, $$4\frac{1}{3} + 2\frac{3}{7} + 13 \cdot 2\frac{2}{7} + \frac{12}{6}=\textcolor{white}{38\frac{10}{21}}$$return {
["body"] = 131,
["id"] = "vSraVY_0404_0518",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 38.47619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 808,
["jmenovatel"] = 21 },
["render"] = "\\frac{808}{21}",
["typ"] = "cislo" },
["tex"] = "38\\frac{10}{21}",
["x"] = 38,
["y"] = 10,
["z"] = 21 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} + 2\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{3} + 2\\frac{3}{7} + 13 \\cdot 2\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "4\\frac{1}{3} + 2\\frac{3}{7} + 13 \\cdot 2\\frac{2}{7} + \\frac{12}{6}",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.63, bodu=27, $$-7 \cdot (6 - (-5 \cdot -16 - (-8)))=\textcolor{white}{574}$$return {
["body"] = 27,
["id"] = "AzC62u_0404_0518",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 574,
["jmenovatel"] = 1 },
["render"] = "\\frac{574}{1}",
["typ"] = "cislo" },
["tex"] = "574",
["x"] = 574 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -16 - (-8)",
["typ"] = "minus" },
["render"] = "(-5 \\cdot -16 - (-8))",
["typ"] = "zavorka" },
["render"] = "6 - (-5 \\cdot -16 - (-8))",
["typ"] = "minus" },
["render"] = "(6 - (-5 \\cdot -16 - (-8)))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (6 - (-5 \\cdot -16 - (-8)))",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.64, bodu=133, $$(3\frac{4}{7} - (8 + 1\frac{4}{7} + (-2 + 17 - (-14))) - (-13))^2=\textcolor{white}{484}$$return {
["body"] = 133,
["id"] = "omIK6S_0404_0518",
["obtiznost"] = 1.234,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 484,
["jmenovatel"] = 1 },
["render"] = "\\frac{484}{1}",
["typ"] = "cislo" },
["tex"] = "484",
["tex_float"] = "484",
["x"] = 484 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.64",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-2 + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-2 + 17 - (-14)",
["typ"] = "minus" },
["render"] = "8 + 1\\frac{4}{7} + (-2 + 17 - (-14))",
["typ"] = "plus" },
["render"] = "(8 + 1\\frac{4}{7} + (-2 + 17 - (-14)))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{7} - (8 + 1\\frac{4}{7} + (-2 + 17 - (-14)))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - (8 + 1\\frac{4}{7} + (-2 + 17 - (-14))) - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{4}{7} - (8 + 1\\frac{4}{7} + (-2 + 17 - (-14))) - (-13))^2",
["typ"] = "mocnina" } }
seed: 8kP1Cl4b4jz93syddsUT_0.65, bodu=80, $$-16 \cdot -11 \cdot (-8 - 4\frac{4}{7}) \cdot (9 + (-11))=\textcolor{white}{4425\frac{1}{7}}$$return {
["body"] = 80,
["id"] = "GUpYF1_0404_0518",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 4425.1428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30976,
["jmenovatel"] = 7 },
["render"] = "\\frac{30976}{7}",
["typ"] = "cislo" },
["tex"] = "4425\\frac{1}{7}",
["x"] = 4425,
["y"] = 1,
["z"] = 7 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-8 - 4\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-8 - 4\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 + (-11)",
["typ"] = "plus" },
["render"] = "(9 + (-11))",
["typ"] = "zavorka" },
["render"] = "(-8 - 4\\frac{4}{7}) \\cdot (9 + (-11))",
["typ"] = "krat" },
["render"] = "-16 \\cdot -11 \\cdot (-8 - 4\\frac{4}{7}) \\cdot (9 + (-11))",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.66, bodu=108, $$\frac{13 + 4}{-13 - (3\frac{5}{13} - (-17)) \cdot 3\frac{5}{9}}=\textcolor{white}{-\frac{1989}{10001}}$$return {
["body"] = 108,
["id"] = "g5VQxK_0404_0518",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -0.1988801119888,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1989,
["jmenovatel"] = 10001 },
["render"] = "\\frac{1989}{-10001}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1989}{10001}",
["y"] = -1989,
["z"] = 10001 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{13} - (-17)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{13} - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{13} - (-17)) \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "-13 - (3\\frac{5}{13} - (-17)) \\cdot 3\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{13 + 4}{-13 - (3\\frac{5}{13} - (-17)) \\cdot 3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.67, bodu=83, $$(-11 - 5 + (-14 \cdot -13)) \cdot (10 + 1\frac{2}{8})=\textcolor{white}{1867{,}5}$$return {
["body"] = 83,
["id"] = "3uJyrN_0404_0518",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 1867.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3735,
["jmenovatel"] = 2 },
["render"] = "\\frac{7470}{4}",
["typ"] = "cislo" },
["tex"] = "1867\\frac{1}{2}",
["tex_float"] = "1867{,}5",
["x"] = 1867,
["y"] = 1,
["z"] = 2 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -13",
["typ"] = "krat" },
["render"] = "-11 - 5 + (-14 \\cdot -13)",
["typ"] = "plus" },
["render"] = "(-11 - 5 + (-14 \\cdot -13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "(-11 - 5 + (-14 \\cdot -13)) \\cdot (10 + 1\\frac{2}{8})",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.68, bodu=84, $$2\frac{1}{8} \cdot \frac{15}{6 + 10} \cdot -9=\textcolor{white}{-17\frac{119}{128}}$$return {
["body"] = 84,
["id"] = "5z47mE_0404_0518",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -17.9296875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2295,
["jmenovatel"] = 128 },
["render"] = "\\frac{-2295}{128}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{119}{128}",
["x"] = -17,
["y"] = 119,
["z"] = 128 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["render"] = "\\frac{15}{6 + 10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{6 + 10} \\cdot -9",
["typ"] = "krat" },
["render"] = "2\\frac{1}{8} \\cdot \\frac{15}{6 + 10} \\cdot -9",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.69, bodu=89, $$\frac{-5}{1\frac{5}{12} - ((7 - 10)^4 + 11)} \cdot -10=\textcolor{white}{-\frac{600}{1087}}$$return {
["body"] = 89,
["id"] = "juuKFA_0404_0518",
["obtiznost"] = 0.9228,
["reseni"] = {
["float"] = -0.55197792088316,
["objekt"] = {
["hodnota"] = {
["citatel"] = -600,
["jmenovatel"] = 1087 },
["render"] = "\\frac{-600}{1087}",
["typ"] = "cislo" },
["tex"] = "-\\frac{600}{1087}",
["y"] = -600,
["z"] = 1087 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 10)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(7 - 10)^4 + 11",
["typ"] = "plus" },
["render"] = "((7 - 10)^4 + 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} - ((7 - 10)^4 + 11)",
["typ"] = "minus" },
["render"] = "\\frac{-5}{1\\frac{5}{12} - ((7 - 10)^4 + 11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{5}{12} - ((7 - 10)^4 + 11)} \\cdot -10",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.7, bodu=143, $$-7 \cdot 19 \cdot (4\frac{3}{8} - \frac{2\frac{2}{7}}{3\frac{5}{11}})=\textcolor{white}{-493{,}875}$$return {
["body"] = 143,
["id"] = "vpaX7u_0404_0518",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -493.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3951,
["jmenovatel"] = 8 },
["render"] = "\\frac{-27657}{56}",
["typ"] = "cislo" },
["tex"] = "-493\\frac{7}{8}",
["tex_float"] = "-493{,}875",
["x"] = -493,
["y"] = 7,
["z"] = 8 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7}}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{8} - \\frac{2\\frac{2}{7}}{3\\frac{5}{11}}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} - \\frac{2\\frac{2}{7}}{3\\frac{5}{11}})",
["typ"] = "zavorka" },
["render"] = "19 \\cdot (4\\frac{3}{8} - \\frac{2\\frac{2}{7}}{3\\frac{5}{11}})",
["typ"] = "krat" },
["render"] = "-7 \\cdot 19 \\cdot (4\\frac{3}{8} - \\frac{2\\frac{2}{7}}{3\\frac{5}{11}})",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.71, bodu=92, $$1\frac{1}{9} \cdot \frac{15}{-19} \cdot (-13 - (-16))^4=\textcolor{white}{-71\frac{1}{19}}$$return {
["body"] = 92,
["id"] = "EzlNmt_0404_0518",
["obtiznost"] = 0.9428,
["reseni"] = {
["float"] = -71.052631578947,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1350,
["jmenovatel"] = 19 },
["render"] = "\\frac{-4050}{57}",
["typ"] = "cislo" },
["tex"] = "-71\\frac{1}{19}",
["x"] = -71,
["y"] = 1,
["z"] = 19 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-19}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{9} \\cdot \\frac{15}{-19}",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "1\\frac{1}{9} \\cdot \\frac{15}{-19} \\cdot (-13 - (-16))^4",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.72, bodu=146, $$\frac{\frac{10}{\frac{2\frac{2}{8}}{4\frac{1}{3}}}}{7 + 2\frac{3}{10}}=\textcolor{white}{2\frac{178}{2511}}$$return {
["body"] = 146,
["id"] = "1DjceI_0404_0518",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 2.0708880923935,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5200,
["jmenovatel"] = 2511 },
["render"] = "\\frac{5200}{2511}",
["typ"] = "cislo" },
["tex"] = "2\\frac{178}{2511}",
["x"] = 2,
["y"] = 178,
["z"] = 2511 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{2\\frac{2}{8}}{4\\frac{1}{3}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{\\frac{2\\frac{2}{8}}{4\\frac{1}{3}}}}{7 + 2\\frac{3}{10}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.73, bodu=90, $$9 \cdot 12 \cdot -9 \cdot \frac{3\frac{4}{9}}{10}=\textcolor{white}{-334{,}8}$$return {
["body"] = 90,
["id"] = "ZZG98f_0404_0518",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -334.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1674,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3348}{10}",
["typ"] = "cislo" },
["tex"] = "-334\\frac{4}{5}",
["tex_float"] = "-334{,}8",
["x"] = -334,
["y"] = 4,
["z"] = 5 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9}}{10}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{3\\frac{4}{9}}{10}",
["typ"] = "krat" },
["render"] = "9 \\cdot 12 \\cdot -9 \\cdot \\frac{3\\frac{4}{9}}{10}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.74, bodu=97, $$1\frac{3}{8} + \frac{(\frac{20}{-12})^2}{-11} + (8 + (-4))^3=\textcolor{white}{65\frac{97}{792}}$$return {
["body"] = 97,
["id"] = "17fqOq_0404_0518",
["obtiznost"] = 0.9796,
["reseni"] = {
["float"] = 65.122474747475,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51577,
["jmenovatel"] = 792 },
["render"] = "\\frac{51577}{792}",
["typ"] = "cislo" },
["tex"] = "65\\frac{97}{792}",
["x"] = 65,
["y"] = 97,
["z"] = 792 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{20}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{20}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{20}{-12})^2}{-11}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} + \\frac{(\\frac{20}{-12})^2}{-11}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 + (-4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(8 + (-4))^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{8} + \\frac{(\\frac{20}{-12})^2}{-11} + (8 + (-4))^3",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.75, bodu=120, $$\frac{\frac{\frac{3\frac{5}{9}}{1\frac{5}{8}} - (9 + (-19))}{-15}}{15}=\textcolor{white}{-\frac{1426}{26325}}$$return {
["body"] = 120,
["id"] = "gpvVbo_0404_0518",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.054169040835708,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1426,
["jmenovatel"] = 26325 },
["render"] = "\\frac{-1426}{26325}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1426}{26325}",
["y"] = -1426,
["z"] = 26325 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "9 + (-19)",
["typ"] = "plus" },
["render"] = "(9 + (-19))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{9}}{1\\frac{5}{8}} - (9 + (-19))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{5}{9}}{1\\frac{5}{8}} - (9 + (-19))}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{5}{9}}{1\\frac{5}{8}} - (9 + (-19))}{-15}}{15}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.76, bodu=152, $$(2\frac{4}{12} - (4\frac{5}{13} + 10 - 20)) \cdot (2\frac{4}{11} - (-9))=\textcolor{white}{90\frac{140}{429}}$$return {
["body"] = 152,
["id"] = "C2RxFx_0404_0518",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 90.32634032634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38750,
["jmenovatel"] = 429 },
["render"] = "\\frac{38750}{429}",
["typ"] = "cislo" },
["tex"] = "90\\frac{140}{429}",
["x"] = 90,
["y"] = 140,
["z"] = 429 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "10 - 20",
["typ"] = "minus" },
["render"] = "4\\frac{5}{13} + 10 - 20",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{13} + 10 - 20)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{12} - (4\\frac{5}{13} + 10 - 20)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{12} - (4\\frac{5}{13} + 10 - 20))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - (-9)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{11} - (-9))",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{12} - (4\\frac{5}{13} + 10 - 20)) \\cdot (2\\frac{4}{11} - (-9))",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.77, bodu=123, $$\frac{1\frac{2}{10}}{10 \cdot \frac{14}{\frac{2\frac{1}{6}}{-11}}}=\textcolor{white}{-\frac{13}{7700}}$$return {
["body"] = 123,
["id"] = "nAFCVl_0404_0518",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -0.0016883116883117,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 7700 },
["render"] = "\\frac{78}{-46200}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{7700}",
["y"] = -13,
["z"] = 7700 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{2\\frac{1}{6}}{-11}}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{14}{\\frac{2\\frac{1}{6}}{-11}}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{10}}{10 \\cdot \\frac{14}{\\frac{2\\frac{1}{6}}{-11}}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.78, bodu=155, $$\frac{(\frac{-6}{4\frac{5}{13}} + (-15)) \cdot 3\frac{5}{12}}{1\frac{1}{7}}=\textcolor{white}{-48\frac{1705}{1824}}$$return {
["body"] = 155,
["id"] = "J8Tb6u_0404_0518",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -48.93475877193,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89257,
["jmenovatel"] = 1824 },
["render"] = "\\frac{-89257}{1824}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{1705}{1824}",
["x"] = -48,
["y"] = 1705,
["z"] = 1824 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{4\\frac{5}{13}} + (-15)",
["typ"] = "plus" },
["render"] = "(\\frac{-6}{4\\frac{5}{13}} + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{4\\frac{5}{13}} + (-15)) \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-6}{4\\frac{5}{13}} + (-15)) \\cdot 3\\frac{5}{12}}{1\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.79, bodu=98, $$4\frac{2}{8} \cdot (14 - (-19 - 10 \cdot -5))=\textcolor{white}{-72{,}25}$$return {
["body"] = 98,
["id"] = "EVfXfo_0404_0518",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -72.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -289,
["jmenovatel"] = 4 },
["render"] = "\\frac{-289}{4}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{1}{4}",
["tex_float"] = "-72{,}25",
["x"] = -72,
["y"] = 1,
["z"] = 4 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["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 \\cdot -5",
["typ"] = "krat" },
["render"] = "-19 - 10 \\cdot -5",
["typ"] = "minus" },
["render"] = "(-19 - 10 \\cdot -5)",
["typ"] = "zavorka" },
["render"] = "14 - (-19 - 10 \\cdot -5)",
["typ"] = "minus" },
["render"] = "(14 - (-19 - 10 \\cdot -5))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{8} \\cdot (14 - (-19 - 10 \\cdot -5))",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.8, bodu=126, $$\frac{\frac{3\frac{4}{14}}{-13} - 15 \cdot 15}{(\frac{-19}{-10})^2}=\textcolor{white}{-62\frac{13038}{32851}}$$return {
["body"] = 126,
["id"] = "yGL8Oy_0404_0518",
["obtiznost"] = 1.1844,
["reseni"] = {
["float"] = -62.396882895498,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2049800,
["jmenovatel"] = 32851 },
["render"] = "\\frac{-2049800}{32851}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{13038}{32851}",
["x"] = -62,
["y"] = 13038,
["z"] = 32851 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{14}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "15 \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{14}}{-13} - 15 \\cdot 15",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-19}{-10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{3\\frac{4}{14}}{-13} - 15 \\cdot 15}{(\\frac{-19}{-10})^2}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.81, bodu=183, $$10 - (-16 - (-20 - (-11 - (-20)))^2 - (1\frac{5}{9} + 1\frac{4}{5}))=\textcolor{white}{870\frac{16}{45}}$$return {
["body"] = 183,
["id"] = "Hy1ipw_0404_0518",
["obtiznost"] = 1.5468,
["reseni"] = {
["float"] = 870.35555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39166,
["jmenovatel"] = 45 },
["render"] = "\\frac{39166}{45}",
["typ"] = "cislo" },
["tex"] = "870\\frac{16}{45}",
["x"] = 870,
["y"] = 16,
["z"] = 45 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-11 - (-20)",
["typ"] = "minus" },
["render"] = "(-11 - (-20))",
["typ"] = "zavorka" },
["render"] = "-20 - (-11 - (-20))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-20 - (-11 - (-20)))^2",
["typ"] = "mocnina" },
["render"] = "-16 - (-20 - (-11 - (-20)))^2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 1\\frac{4}{5}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{9} + 1\\frac{4}{5})",
["typ"] = "zavorka" },
["render"] = "-16 - (-20 - (-11 - (-20)))^2 - (1\\frac{5}{9} + 1\\frac{4}{5})",
["typ"] = "minus" },
["render"] = "(-16 - (-20 - (-11 - (-20)))^2 - (1\\frac{5}{9} + 1\\frac{4}{5}))",
["typ"] = "zavorka" },
["render"] = "10 - (-16 - (-20 - (-11 - (-20)))^2 - (1\\frac{5}{9} + 1\\frac{4}{5}))",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.82, bodu=162, $$(\frac{4\frac{4}{8}}{2\frac{3}{5}} + (-16 \cdot 1\frac{2}{8})) \cdot -17 + (-9)=\textcolor{white}{301\frac{15}{26}}$$return {
["body"] = 162,
["id"] = "V8NXqV_0404_0518",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 301.57692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7841,
["jmenovatel"] = 26 },
["render"] = "\\frac{7841}{26}",
["typ"] = "cislo" },
["tex"] = "301\\frac{15}{26}",
["x"] = 301,
["y"] = 15,
["z"] = 26 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{8}}{2\\frac{3}{5}} + (-16 \\cdot 1\\frac{2}{8})",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{4}{8}}{2\\frac{3}{5}} + (-16 \\cdot 1\\frac{2}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{4}{8}}{2\\frac{3}{5}} + (-16 \\cdot 1\\frac{2}{8})) \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{4}{8}}{2\\frac{3}{5}} + (-16 \\cdot 1\\frac{2}{8})) \\cdot -17 + (-9)",
["typ"] = "plus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.83, bodu=232, $$\frac{-16 + \frac{4\frac{1}{8}}{1\frac{3}{10}} + \frac{4\frac{3}{8}}{4\frac{2}{7}} - 2\frac{1}{9}}{-4}=\textcolor{white}{3\frac{3589}{7488}}$$return {
["body"] = 232,
["id"] = "XLPmbB_0404_0518",
["obtiznost"] = 1.83,
["reseni"] = {
["float"] = 3.4793002136752,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26053,
["jmenovatel"] = 7488 },
["render"] = "\\frac{-26053}{-7488}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3589}{7488}",
["x"] = 3,
["y"] = 3589,
["z"] = 7488 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{4\\frac{1}{8}}{1\\frac{3}{10}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{4\\frac{2}{7}} - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "-16 + \\frac{4\\frac{1}{8}}{1\\frac{3}{10}} + \\frac{4\\frac{3}{8}}{4\\frac{2}{7}} - 2\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + \\frac{4\\frac{1}{8}}{1\\frac{3}{10}} + \\frac{4\\frac{3}{8}}{4\\frac{2}{7}} - 2\\frac{1}{9}}{-4}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.84, bodu=142, $$\frac{2\frac{4}{10}}{-7} - (\frac{(-22 - (-14 - 7))^3}{1\frac{2}{7}})^2=\textcolor{white}{-\frac{2687}{2835}}$$return {
["body"] = 142,
["id"] = "rI6Iqz_0404_0518",
["obtiznost"] = 1.2928,
["reseni"] = {
["float"] = -0.94779541446208,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2687,
["jmenovatel"] = 2835 },
["render"] = "\\frac{-2687}{2835}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2687}{2835}",
["y"] = -2687,
["z"] = 2835 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{10}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-14 - 7",
["typ"] = "minus" },
["render"] = "(-14 - 7)",
["typ"] = "zavorka" },
["render"] = "-22 - (-14 - 7)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-22 - (-14 - 7))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(-22 - (-14 - 7))^3}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(-22 - (-14 - 7))^3}{1\\frac{2}{7}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{4}{10}}{-7} - (\\frac{(-22 - (-14 - 7))^3}{1\\frac{2}{7}})^2",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.85, bodu=135, $$\frac{2\frac{1}{7} \cdot \frac{-13}{3\frac{2}{11}}}{\frac{5}{16}}=\textcolor{white}{-28\frac{4}{245}}$$return {
["body"] = 135,
["id"] = "Fs0rbb_0404_0518",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -28.016326530612,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6864,
["jmenovatel"] = 245 },
["render"] = "\\frac{-6864}{245}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{4}{245}",
["x"] = -28,
["y"] = 4,
["z"] = 245 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{7} \\cdot \\frac{-13}{3\\frac{2}{11}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{5}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{7} \\cdot \\frac{-13}{3\\frac{2}{11}}}{\\frac{5}{16}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.86, bodu=168, $$\frac{3\frac{5}{9} - \frac{3\frac{1}{6}}{19}}{-14 \cdot (-7 - 4\frac{5}{10})}=\textcolor{white}{\frac{61}{2898}}$$return {
["body"] = 168,
["id"] = "R0dJFz_0404_0518",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 0.021048999309869,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 2898 },
["render"] = "\\frac{61}{2898}",
["typ"] = "cislo" },
["tex"] = "\\frac{61}{2898}",
["y"] = 61,
["z"] = 2898 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{19}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{9} - \\frac{3\\frac{1}{6}}{19}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-7 - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-7 - 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (-7 - 4\\frac{5}{10})",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{9} - \\frac{3\\frac{1}{6}}{19}}{-14 \\cdot (-7 - 4\\frac{5}{10})}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.87, bodu=138, $$\frac{3\frac{5}{15} \cdot (2 + 2\frac{2}{8})}{-8 \cdot -18 - (-9)}=\textcolor{white}{\frac{5}{54}}$$return {
["body"] = 138,
["id"] = "vPjp2H_0404_0518",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 0.092592592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 54 },
["render"] = "\\frac{85}{918}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{54}",
["y"] = 5,
["z"] = 54 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(2 + 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{15} \\cdot (2 + 2\\frac{2}{8})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -18 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{15} \\cdot (2 + 2\\frac{2}{8})}{-8 \\cdot -18 - (-9)}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.88, bodu=188, $$(\frac{9}{13})^2 \cdot \frac{2\frac{4}{10} - 1\frac{3}{9}}{10 \cdot 4\frac{4}{14}}=\textcolor{white}{\frac{252}{21125}}$$return {
["body"] = 188,
["id"] = "CJIk78_0404_0518",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 0.01192899408284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 252,
["jmenovatel"] = 21125 },
["render"] = "\\frac{2268}{190125}",
["typ"] = "cislo" },
["tex"] = "\\frac{252}{21125}",
["y"] = 252,
["z"] = 21125 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.88",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{9}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{13})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} - 1\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{4}{14}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{10} - 1\\frac{3}{9}}{10 \\cdot 4\\frac{4}{14}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{9}{13})^2 \\cdot \\frac{2\\frac{4}{10} - 1\\frac{3}{9}}{10 \\cdot 4\\frac{4}{14}}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.89, bodu=207, $$2\frac{1}{6} \cdot (9 + (-3 \cdot (-13 - 2\frac{2}{3}))) - (3\frac{4}{10} + 4\frac{3}{8})=\textcolor{white}{113\frac{67}{120}}$$return {
["body"] = 207,
["id"] = "7WIrxz_0404_0518",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 113.55833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13627,
["jmenovatel"] = 120 },
["render"] = "\\frac{13627}{120}",
["typ"] = "cislo" },
["tex"] = "113\\frac{67}{120}",
["x"] = 113,
["y"] = 67,
["z"] = 120 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-13 - 2\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(-13 - 2\\frac{2}{3})",
["typ"] = "zavorka" },
["render"] = "-3 \\cdot (-13 - 2\\frac{2}{3})",
["typ"] = "krat" },
["render"] = "9 + (-3 \\cdot (-13 - 2\\frac{2}{3}))",
["typ"] = "plus" },
["render"] = "(9 + (-3 \\cdot (-13 - 2\\frac{2}{3})))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{6} \\cdot (9 + (-3 \\cdot (-13 - 2\\frac{2}{3})))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} + 4\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{6} \\cdot (9 + (-3 \\cdot (-13 - 2\\frac{2}{3}))) - (3\\frac{4}{10} + 4\\frac{3}{8})",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.9, bodu=245, $$\frac{13 + \frac{3\frac{5}{15}}{4\frac{5}{10}}}{4\frac{1}{8} + 9 + \frac{3\frac{2}{4}}{4\frac{4}{10}}}=\textcolor{white}{\frac{4664}{4725}}$$return {
["body"] = 245,
["id"] = "uGcqqE_0404_0518",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = 0.98708994708995,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4664,
["jmenovatel"] = 4725 },
["render"] = "\\frac{32648}{33075}",
["typ"] = "cislo" },
["tex"] = "\\frac{4664}{4725}",
["y"] = 4664,
["z"] = 4725 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{15}}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{3\\frac{5}{15}}{4\\frac{5}{10}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{4}}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{8} + 9 + \\frac{3\\frac{2}{4}}{4\\frac{4}{10}}",
["typ"] = "plus" },
["render"] = "\\frac{13 + \\frac{3\\frac{5}{15}}{4\\frac{5}{10}}}{4\\frac{1}{8} + 9 + \\frac{3\\frac{2}{4}}{4\\frac{4}{10}}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.91, bodu=176, $$-17 - 3\frac{3}{9} - \frac{-10}{1\frac{3}{4}} - (-12 - 1\frac{5}{10})=\textcolor{white}{-1\frac{5}{42}}$$return {
["body"] = 176,
["id"] = "V9YbOa_0404_0518",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -1.1190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 42 },
["render"] = "\\frac{-47}{42}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{42}",
["x"] = -1,
["y"] = 5,
["z"] = 42 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-17 - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "-17 - 3\\frac{3}{9} - \\frac{-10}{1\\frac{3}{4}}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-12 - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "-17 - 3\\frac{3}{9} - \\frac{-10}{1\\frac{3}{4}} - (-12 - 1\\frac{5}{10})",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.92, bodu=178, $$(7 - \frac{3\frac{3}{10}}{10}) \cdot (1\frac{5}{12} - 8) \cdot 3\frac{5}{12}=\textcolor{white}{-150\frac{413}{14400}}$$return {
["body"] = 178,
["id"] = "ckZFZ0_0404_0518",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -150.02868055556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2160413,
["jmenovatel"] = 14400 },
["render"] = "\\frac{-2160413}{14400}",
["typ"] = "cislo" },
["tex"] = "-150\\frac{413}{14400}",
["x"] = -150,
["y"] = 413,
["z"] = 14400 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{10}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{3\\frac{3}{10}}{10}",
["typ"] = "minus" },
["render"] = "(7 - \\frac{3\\frac{3}{10}}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 8",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} - 8) \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "(7 - \\frac{3\\frac{3}{10}}{10}) \\cdot (1\\frac{5}{12} - 8) \\cdot 3\\frac{5}{12}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.93, bodu=214, $$\frac{3\frac{1}{10} \cdot 3\frac{4}{15}}{-13 + \frac{1\frac{2}{4}}{3\frac{1}{12}} \cdot 6}=\textcolor{white}{-1\frac{253}{55950}}$$return {
["body"] = 214,
["id"] = "pAg9c9_0404_0518",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = -1.0045218945487,
["objekt"] = {
["hodnota"] = {
["citatel"] = -56203,
["jmenovatel"] = 55950 },
["render"] = "\\frac{56203}{-55950}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{253}{55950}",
["x"] = -1,
["y"] = 253,
["z"] = 55950 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} \\cdot 3\\frac{4}{15}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 12 },
["render"] = "3\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{3\\frac{1}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{3\\frac{1}{12}} \\cdot 6",
["typ"] = "krat" },
["render"] = "-13 + \\frac{1\\frac{2}{4}}{3\\frac{1}{12}} \\cdot 6",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{10} \\cdot 3\\frac{4}{15}}{-13 + \\frac{1\\frac{2}{4}}{3\\frac{1}{12}} \\cdot 6}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.94, bodu=216, $$(1\frac{5}{16} - 1\frac{5}{10}) \cdot ((\frac{9}{-9})^3 + 4\frac{1}{8} + 1\frac{1}{8} + 16)=\textcolor{white}{-3\frac{51}{64}}$$return {
["body"] = 216,
["id"] = "4vxC56_0404_0518",
["obtiznost"] = 1.7408,
["reseni"] = {
["float"] = -3.796875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -243,
["jmenovatel"] = 64 },
["render"] = "\\frac{-243}{64}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{51}{64}",
["x"] = -3,
["y"] = 51,
["z"] = 64 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 16 },
["render"] = "1\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{16} - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{16} - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{-9})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} + 1\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{9}{-9})^3 + 4\\frac{1}{8} + 1\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-9})^3 + 4\\frac{1}{8} + 1\\frac{1}{8} + 16",
["typ"] = "plus" },
["render"] = "((\\frac{9}{-9})^3 + 4\\frac{1}{8} + 1\\frac{1}{8} + 16)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{16} - 1\\frac{5}{10}) \\cdot ((\\frac{9}{-9})^3 + 4\\frac{1}{8} + 1\\frac{1}{8} + 16)",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.95, bodu=181, $$(\frac{19}{10})^2 \cdot \frac{17 \cdot (4\frac{3}{7} + 2\frac{5}{12})}{-11}=\textcolor{white}{-38\frac{703}{3696}}$$return {
["body"] = 181,
["id"] = "QGrqHB_0404_0518",
["obtiznost"] = 1.5344,
["reseni"] = {
["float"] = -38.190205627706,
["objekt"] = {
["hodnota"] = {
["citatel"] = -141151,
["jmenovatel"] = 3696 },
["render"] = "\\frac{-3528775}{92400}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{703}{3696}",
["x"] = -38,
["y"] = 703,
["z"] = 3696 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.95",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{19}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{19}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 2\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 2\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "17 \\cdot (4\\frac{3}{7} + 2\\frac{5}{12})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{17 \\cdot (4\\frac{3}{7} + 2\\frac{5}{12})}{-11}",
["typ"] = "lomeno" },
["render"] = "(\\frac{19}{10})^2 \\cdot \\frac{17 \\cdot (4\\frac{3}{7} + 2\\frac{5}{12})}{-11}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.96, bodu=185, $$\frac{2\frac{5}{15} \cdot -12}{-22} + (-19 - 4\frac{4}{10}) - 4\frac{1}{3}=\textcolor{white}{-26\frac{76}{165}}$$return {
["body"] = 185,
["id"] = "OhEBQu_0404_0518",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -26.460606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4366,
["jmenovatel"] = 165 },
["render"] = "\\frac{-4366}{165}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{76}{165}",
["x"] = -26,
["y"] = 76,
["z"] = 165 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{15} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{15} \\cdot -12}{-22}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-19 - 4\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{15} \\cdot -12}{-22} + (-19 - 4\\frac{4}{10})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{15} \\cdot -12}{-22} + (-19 - 4\\frac{4}{10}) - 4\\frac{1}{3}",
["typ"] = "minus" } }
seed: 8kP1Cl4b4jz93syddsUT_0.97, bodu=199, $$\frac{\frac{2\frac{5}{15}}{-19} \cdot -14 + (4\frac{5}{8} - 6)^2}{1\frac{2}{7}}=\textcolor{white}{2\frac{26519}{32832}}$$return {
["body"] = 199,
["id"] = "8WO8A9_0404_0518",
["obtiznost"] = 1.644,
["reseni"] = {
["float"] = 2.807718079922,
["objekt"] = {
["hodnota"] = {
["citatel"] = 92183,
["jmenovatel"] = 32832 },
["render"] = "\\frac{92183}{32832}",
["typ"] = "cislo" },
["tex"] = "2\\frac{26519}{32832}",
["x"] = 2,
["y"] = 26519,
["z"] = 32832 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{15}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{15}}{-19} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{5}{8} - 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{5}{15}}{-19} \\cdot -14 + (4\\frac{5}{8} - 6)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{5}{15}}{-19} \\cdot -14 + (4\\frac{5}{8} - 6)^2}{1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 8kP1Cl4b4jz93syddsUT_0.98, bodu=223, $$\frac{22}{4\frac{2}{9}} \cdot (4\frac{2}{13} + 1\frac{2}{9}) \cdot \frac{16}{1\frac{4}{11}}=\textcolor{white}{328\frac{2504}{3705}}$$return {
["body"] = 223,
["id"] = "oDxxOI_0404_0518",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = 328.67584345479,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1217744,
["jmenovatel"] = 3705 },
["render"] = "\\frac{10959696}{33345}",
["typ"] = "cislo" },
["tex"] = "328\\frac{2504}{3705}",
["x"] = 328,
["y"] = 2504,
["z"] = 3705 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{22}{4\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{13} + 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{13} + 1\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{2}{13} + 1\\frac{2}{9}) \\cdot \\frac{16}{1\\frac{4}{11}}",
["typ"] = "krat" },
["render"] = "\\frac{22}{4\\frac{2}{9}} \\cdot (4\\frac{2}{13} + 1\\frac{2}{9}) \\cdot \\frac{16}{1\\frac{4}{11}}",
["typ"] = "krat" } }
seed: 8kP1Cl4b4jz93syddsUT_0.99, bodu=225, $$\frac{3\frac{1}{7} + (-17 + 20 - 2\frac{3}{6})^2}{2\frac{4}{9}} - 2\frac{3}{9} \cdot -7=\textcolor{white}{17\frac{1333}{1848}}$$return {
["body"] = 225,
["id"] = "BlRRK5_0404_0518",
["obtiznost"] = 1.792,
["reseni"] = {
["float"] = 17.72132034632,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32749,
["jmenovatel"] = 1848 },
["render"] = "\\frac{32749}{1848}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1333}{1848}",
["x"] = 17,
["y"] = 1333,
["z"] = 1848 },
["seed"] = "8kP1Cl4b4jz93syddsUT_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "20 - 2\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "-17 + 20 - 2\\frac{3}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-17 + 20 - 2\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{7} + (-17 + 20 - 2\\frac{3}{6})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7} + (-17 + 20 - 2\\frac{3}{6})^2}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{7} + (-17 + 20 - 2\\frac{3}{6})^2}{2\\frac{4}{9}} - 2\\frac{3}{9} \\cdot -7",
["typ"] = "minus" } }
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