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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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