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Nahodny test, priklady s rostouci obtiznosti...

seed: tuxW7heOcxDv9akylvkh_0, bodu=5, $$(8 \cdot 9 \cdot (8 - 8))^2=\textcolor{white}{0}$$return { ["body"] = 5, ["id"] = "1zSJpY_0916_1353", ["obtiznost"] = 0.0004, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 - 8", ["typ"] = "minus" }, ["render"] = "(8 - 8)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot 9 \\cdot (8 - 8)", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(8 \\cdot 9 \\cdot (8 - 8))^2", ["typ"] = "mocnina" } }

seed: tuxW7heOcxDv9akylvkh_0.01, bodu=10, $$(8 + \frac{-7}{8}) \cdot -6=\textcolor{white}{-42{,}75}$$return { ["body"] = 10, ["id"] = "QwXpXm_0916_1353", ["obtiznost"] = 0.01, ["reseni"] = { ["float"] = -42.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -171, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-342}{8}", ["typ"] = "cislo" }, ["tex"] = "-42\\frac{3}{4}", ["tex_float"] = "-42{,}75", ["x"] = -42, ["y"] = 3, ["z"] = 4 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.01", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{8}", ["typ"] = "lomeno" }, ["render"] = "8 + \\frac{-7}{8}", ["typ"] = "plus" }, ["render"] = "(8 + \\frac{-7}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(8 + \\frac{-7}{8}) \\cdot -6", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.02, bodu=10, $$\frac{6 + 5}{8 + (-8) + 4}=\textcolor{white}{2{,}75}$$return { ["body"] = 10, ["id"] = "Bg7JK4_0916_1353", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = 2.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "\\frac{11}{4}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{3}{4}", ["tex_float"] = "2{,}75", ["x"] = 2, ["y"] = 3, ["z"] = 4 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 + 5", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 + (-8) + 4", ["typ"] = "plus" }, ["render"] = "\\frac{6 + 5}{8 + (-8) + 4}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.03, bodu=5, $$8 - (8 \cdot 7 - 8)=\textcolor{white}{-40}$$return { ["body"] = 5, ["id"] = "z81IUf_0916_1353", ["obtiznost"] = 0.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -40, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-40}{1}", ["typ"] = "cislo" }, ["tex"] = "-40", ["x"] = -40 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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"] = "8 \\cdot 7 - 8", ["typ"] = "minus" }, ["render"] = "(8 \\cdot 7 - 8)", ["typ"] = "zavorka" }, ["render"] = "8 - (8 \\cdot 7 - 8)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.04, bodu=10, $$(\frac{10}{-5 \cdot -8})^2=\textcolor{white}{\frac{1}{16}}$$return { ["body"] = 10, ["id"] = "NnTH2D_0916_1353", ["obtiznost"] = 0.0468, ["reseni"] = { ["float"] = 0.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 16 }, ["render"] = "\\frac{1}{16}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{16}", ["y"] = 1, ["z"] = 16 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.04", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot -8", ["typ"] = "krat" }, ["render"] = "\\frac{10}{-5 \\cdot -8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{-5 \\cdot -8})^2", ["typ"] = "mocnina" } }

seed: tuxW7heOcxDv9akylvkh_0.05, bodu=6, $$(9 - (6 + (-6))^2)^2 - 3=\textcolor{white}{78}$$return { ["body"] = 6, ["id"] = "PqfZm3_0916_1353", ["obtiznost"] = 0.0832, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 78, ["jmenovatel"] = 1 }, ["render"] = "\\frac{78}{1}", ["typ"] = "cislo" }, ["tex"] = "78", ["x"] = 78 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.05", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "6 + (-6)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + (-6))^2", ["typ"] = "mocnina" }, ["render"] = "9 - (6 + (-6))^2", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - (6 + (-6))^2)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(9 - (6 + (-6))^2)^2 - 3", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.06, bodu=11, $$\frac{-8 - 6}{9} - (-5)=\textcolor{white}{3\frac{4}{9}}$$return { ["body"] = 11, ["id"] = "YoKNha_0916_1353", ["obtiznost"] = 0.06, ["reseni"] = { ["float"] = 3.4444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "\\frac{31}{9}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{4}{9}", ["x"] = 3, ["y"] = 4, ["z"] = 9 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 - 6}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 - 6}{9} - (-5)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.07, bodu=5, $$(3 + 8) \cdot (-6 - 2)=\textcolor{white}{-88}$$return { ["body"] = 5, ["id"] = "YCTzm1_0916_1353", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -88, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-88}{1}", ["typ"] = "cislo" }, ["tex"] = "-88", ["x"] = -88 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.07", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3 + 8", ["typ"] = "plus" }, ["render"] = "(3 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "-6 - 2", ["typ"] = "minus" }, ["render"] = "(-6 - 2)", ["typ"] = "zavorka" }, ["render"] = "(3 + 8) \\cdot (-6 - 2)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.08, bodu=12, $$\frac{-10}{3 - (5 + 9)}=\textcolor{white}{\frac{10}{11}}$$return { ["body"] = 12, ["id"] = "AMqtgW_0916_1353", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 0.90909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-10}{-11}", ["typ"] = "cislo" }, ["tex"] = "\\frac{10}{11}", ["y"] = 10, ["z"] = 11 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 + 9", ["typ"] = "plus" }, ["render"] = "(5 + 9)", ["typ"] = "zavorka" }, ["render"] = "3 - (5 + 9)", ["typ"] = "minus" }, ["render"] = "\\frac{-10}{3 - (5 + 9)}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.09, bodu=40, $$\frac{2\frac{4}{9}}{2} \cdot (9 - 1\frac{2}{6})=\textcolor{white}{9\frac{10}{27}}$$return { ["body"] = 40, ["id"] = "lWRwDy_0916_1353", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 9.3703703703704, ["objekt"] = { ["hodnota"] = { ["citatel"] = 253, ["jmenovatel"] = 27 }, ["render"] = "\\frac{253}{27}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{10}{27}", ["x"] = 9, ["y"] = 10, ["z"] = 27 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{9}}{2}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(9 - 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{4}{9}}{2} \\cdot (9 - 1\\frac{2}{6})", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.1, bodu=24, $$\frac{6}{5 - 1\frac{4}{8} + 6}=\textcolor{white}{\frac{12}{19}}$$return { ["body"] = 24, ["id"] = "TG0iU0_0916_1353", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 0.63157894736842, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 19 }, ["render"] = "\\frac{12}{19}", ["typ"] = "cislo" }, ["tex"] = "\\frac{12}{19}", ["y"] = 12, ["z"] = 19 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "5 - 1\\frac{4}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 - 1\\frac{4}{8} + 6", ["typ"] = "plus" }, ["render"] = "\\frac{6}{5 - 1\\frac{4}{8} + 6}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.11, bodu=13, $$6 - \frac{-9 - 8}{6}=\textcolor{white}{8\frac{5}{6}}$$return { ["body"] = 13, ["id"] = "m1AVfE_0916_1353", ["obtiznost"] = 0.11, ["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"] = "tuxW7heOcxDv9akylvkh_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-9 - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 - 8}{6}", ["typ"] = "lomeno" }, ["render"] = "6 - \\frac{-9 - 8}{6}", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.12, bodu=13, $$\frac{-10}{\frac{4}{10}}=\textcolor{white}{-25}$$return { ["body"] = 13, ["id"] = "JrLzyB_0916_1353", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -25, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-50}{2}", ["typ"] = "cislo" }, ["tex"] = "-25", ["x"] = -25 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-10}{\\frac{4}{10}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.13, bodu=10, $$(3 \cdot 6)^2 - 4 + 7=\textcolor{white}{327}$$return { ["body"] = 10, ["id"] = "bi7gpH_0916_1353", ["obtiznost"] = 0.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 327, ["jmenovatel"] = 1 }, ["render"] = "\\frac{327}{1}", ["typ"] = "cislo" }, ["tex"] = "327", ["x"] = 327 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 6", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(3 \\cdot 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(3 \\cdot 6)^2 - 4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(3 \\cdot 6)^2 - 4 + 7", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.14, bodu=14, $$\frac{-11}{9} \cdot 11=\textcolor{white}{-13\frac{4}{9}}$$return { ["body"] = 14, ["id"] = "mfn05C_0916_1353", ["obtiznost"] = 0.14, ["reseni"] = { ["float"] = -13.444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -121, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-121}{9}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{4}{9}", ["x"] = -13, ["y"] = 4, ["z"] = 9 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.14", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{9} \\cdot 11", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.15, bodu=28, $$\frac{4\frac{4}{5}}{\frac{-9}{7}}=\textcolor{white}{-3\frac{11}{15}}$$return { ["body"] = 28, ["id"] = "P0IyFW_0916_1353", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = -3.7333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -56, ["jmenovatel"] = 15 }, ["render"] = "\\frac{168}{-45}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{11}{15}", ["x"] = -3, ["y"] = 11, ["z"] = 15 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.15", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{4}{5}}{\\frac{-9}{7}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.16, bodu=7, $$8 - 8 - (-12) + (-5)=\textcolor{white}{7}$$return { ["body"] = 7, ["id"] = "VqW9Ad_0916_1353", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "\\frac{7}{1}", ["typ"] = "cislo" }, ["tex"] = "7", ["tex_float"] = "7", ["x"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "8 - 8 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "8 - 8 - (-12) + (-5)", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.17, bodu=8, $$(-5 + 7) \cdot (-12 + 10)=\textcolor{white}{-4}$$return { ["body"] = 8, ["id"] = "UkrIcY_0916_1353", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-4}{1}", ["typ"] = "cislo" }, ["tex"] = "-4", ["tex_float"] = "-4", ["x"] = -4 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.17", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-5 + 7", ["typ"] = "plus" }, ["render"] = "(-5 + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-12 + 10", ["typ"] = "plus" }, ["render"] = "(-12 + 10)", ["typ"] = "zavorka" }, ["render"] = "(-5 + 7) \\cdot (-12 + 10)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.18, bodu=31, $$8 - (3\frac{4}{7} - (3 + (-8)))=\textcolor{white}{-\frac{4}{7}}$$return { ["body"] = 31, ["id"] = "z7TF0O_0916_1353", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = -0.57142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-4}{7}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{7}", ["y"] = -4, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.18", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3 + (-8)", ["typ"] = "plus" }, ["render"] = "(3 + (-8))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{7} - (3 + (-8))", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{7} - (3 + (-8)))", ["typ"] = "zavorka" }, ["render"] = "8 - (3\\frac{4}{7} - (3 + (-8)))", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.19, bodu=17, $$8 \cdot \frac{10}{10}=\textcolor{white}{8}$$return { ["body"] = 17, ["id"] = "jCroiX_0916_1353", ["obtiznost"] = 0.19, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{8}{1}", ["typ"] = "cislo" }, ["tex"] = "8", ["tex_float"] = "8", ["x"] = 8 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{10}", ["typ"] = "lomeno" }, ["render"] = "8 \\cdot \\frac{10}{10}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.2, bodu=18, $$7 \cdot \frac{7 \cdot 8}{-10}=\textcolor{white}{-39{,}2}$$return { ["body"] = 18, ["id"] = "dAb20i_0916_1353", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = -39.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -196, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-196}{5}", ["typ"] = "cislo" }, ["tex"] = "-39\\frac{1}{5}", ["tex_float"] = "-39{,}2", ["x"] = -39, ["y"] = 1, ["z"] = 5 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{7 \\cdot 8}{-10}", ["typ"] = "lomeno" }, ["render"] = "7 \\cdot \\frac{7 \\cdot 8}{-10}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.21, bodu=9, $$7 \cdot (10 + (-5)) \cdot -6=\textcolor{white}{-210}$$return { ["body"] = 9, ["id"] = "Nw5Ma7_0916_1353", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -210, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-210}{1}", ["typ"] = "cislo" }, ["tex"] = "-210", ["x"] = -210 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "10 + (-5)", ["typ"] = "plus" }, ["render"] = "(10 + (-5))", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (10 + (-5))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot (10 + (-5)) \\cdot -6", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.22, bodu=34, $$(9 - (-12)) \cdot 1\frac{1}{5} \cdot 12=\textcolor{white}{302{,}4}$$return { ["body"] = 34, ["id"] = "2BgsOw_0916_1353", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = 302.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1512, ["jmenovatel"] = 5 }, ["render"] = "\\frac{1512}{5}", ["typ"] = "cislo" }, ["tex"] = "302\\frac{2}{5}", ["tex_float"] = "302{,}4", ["x"] = 302, ["y"] = 2, ["z"] = 5 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.22", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "9 - (-12)", ["typ"] = "minus" }, ["render"] = "(9 - (-12))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} \\cdot 12", ["typ"] = "krat" }, ["render"] = "(9 - (-12)) \\cdot 1\\frac{1}{5} \\cdot 12", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.23, bodu=9, $$(6 - 9 \cdot 3) \cdot 12=\textcolor{white}{-252}$$return { ["body"] = 9, ["id"] = "eP8WMF_0916_1353", ["obtiznost"] = 0.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -252, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-252}{1}", ["typ"] = "cislo" }, ["tex"] = "-252", ["tex_float"] = "-252", ["x"] = -252 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.23", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 3", ["typ"] = "krat" }, ["render"] = "6 - 9 \\cdot 3", ["typ"] = "minus" }, ["render"] = "(6 - 9 \\cdot 3)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(6 - 9 \\cdot 3) \\cdot 12", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.24, bodu=36, $$\frac{-7}{8 \cdot (5 + 2\frac{5}{7})}=\textcolor{white}{-\frac{49}{432}}$$return { ["body"] = 36, ["id"] = "k6Pacx_0916_1353", ["obtiznost"] = 0.44, ["reseni"] = { ["float"] = -0.11342592592593, ["objekt"] = { ["hodnota"] = { ["citatel"] = -49, ["jmenovatel"] = 432 }, ["render"] = "\\frac{-49}{432}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{49}{432}", ["y"] = -49, ["z"] = 432 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "5 + 2\\frac{5}{7}", ["typ"] = "plus" }, ["render"] = "(5 + 2\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (5 + 2\\frac{5}{7})", ["typ"] = "krat" }, ["render"] = "\\frac{-7}{8 \\cdot (5 + 2\\frac{5}{7})}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.25, bodu=62, $$1\frac{3}{6} + \frac{6}{4\frac{1}{5}} + (5 + (-10))^3=\textcolor{white}{-122\frac{1}{14}}$$return { ["body"] = 62, ["id"] = "DNu6xW_0916_1353", ["obtiznost"] = 0.7004, ["reseni"] = { ["float"] = -122.07142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1709, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-1709}{14}", ["typ"] = "cislo" }, ["tex"] = "-122\\frac{1}{14}", ["x"] = -122, ["y"] = 1, ["z"] = 14 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "5 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(5 + (-10))^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{6}{4\\frac{1}{5}} + (5 + (-10))^3", ["typ"] = "plus" }, ["render"] = "1\\frac{3}{6} + \\frac{6}{4\\frac{1}{5}} + (5 + (-10))^3", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.26, bodu=63, $$((9 + (-4))^3 - 7 \cdot 2\frac{2}{7}) \cdot 1\frac{2}{7}=\textcolor{white}{140\frac{1}{7}}$$return { ["body"] = 63, ["id"] = "k7zIon_0916_1353", ["obtiznost"] = 0.7104, ["reseni"] = { ["float"] = 140.14285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 981, ["jmenovatel"] = 7 }, ["render"] = "\\frac{981}{7}", ["typ"] = "cislo" }, ["tex"] = "140\\frac{1}{7}", ["x"] = 140, ["y"] = 1, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.26", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "9 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(9 + (-4))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 2\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "(9 + (-4))^3 - 7 \\cdot 2\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "((9 + (-4))^3 - 7 \\cdot 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "((9 + (-4))^3 - 7 \\cdot 2\\frac{2}{7}) \\cdot 1\\frac{2}{7}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.27, bodu=38, $$4\frac{4}{8} \cdot \frac{7}{11 - 8}=\textcolor{white}{10{,}5}$$return { ["body"] = 38, ["id"] = "gYDdPN_0916_1353", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 10.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 2 }, ["render"] = "\\frac{63}{6}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{1}{2}", ["tex_float"] = "10{,}5", ["x"] = 10, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "11 - 8", ["typ"] = "minus" }, ["render"] = "\\frac{7}{11 - 8}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{4}{8} \\cdot \\frac{7}{11 - 8}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.28, bodu=23, $$\frac{\frac{-10 \cdot 13}{-5}}{7}=\textcolor{white}{3\frac{5}{7}}$$return { ["body"] = 23, ["id"] = "rFIXJ9_0916_1353", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = 3.7142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "\\frac{26}{7}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{5}{7}", ["x"] = 3, ["y"] = 5, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 \\cdot 13}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-10 \\cdot 13}{-5}}{7}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.29, bodu=40, $$\frac{5 - 4\frac{3}{4} + 9 + 10}{12}=\textcolor{white}{1\frac{29}{48}}$$return { ["body"] = 40, ["id"] = "hyBPWB_0916_1353", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 1.6041666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 77, ["jmenovatel"] = 48 }, ["render"] = "\\frac{77}{48}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{29}{48}", ["x"] = 1, ["y"] = 29, ["z"] = 48 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "5 - 4\\frac{3}{4}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 + 10", ["typ"] = "plus" }, ["render"] = "5 - 4\\frac{3}{4} + 9 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{5 - 4\\frac{3}{4} + 9 + 10}{12}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.3, bodu=36, $$10 - (\frac{-6}{4} + (-10 - 9)^2)=\textcolor{white}{-349{,}5}$$return { ["body"] = 36, ["id"] = "yzpUKl_0916_1353", ["obtiznost"] = 0.4448, ["reseni"] = { ["float"] = -349.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -699, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-699}{2}", ["typ"] = "cislo" }, ["tex"] = "-349\\frac{1}{2}", ["tex_float"] = "-349{,}5", ["x"] = -349, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(-10 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-6}{4} + (-10 - 9)^2", ["typ"] = "plus" }, ["render"] = "(\\frac{-6}{4} + (-10 - 9)^2)", ["typ"] = "zavorka" }, ["render"] = "10 - (\\frac{-6}{4} + (-10 - 9)^2)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.31, bodu=42, $$\frac{\frac{-12}{-5}}{\frac{8}{4\frac{1}{4}}}=\textcolor{white}{1{,}275}$$return { ["body"] = 42, ["id"] = "je6XXE_0916_1353", ["obtiznost"] = 0.51, ["reseni"] = { ["float"] = 1.275, ["objekt"] = { ["hodnota"] = { ["citatel"] = 51, ["jmenovatel"] = 40 }, ["render"] = "\\frac{204}{160}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{11}{40}", ["tex_float"] = "1{,}275", ["x"] = 1, ["y"] = 11, ["z"] = 40 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{4\\frac{1}{4}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-12}{-5}}{\\frac{8}{4\\frac{1}{4}}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.32, bodu=43, $$\frac{\frac{-9}{10}}{\frac{1\frac{2}{5}}{3}}=\textcolor{white}{-1\frac{13}{14}}$$return { ["body"] = 43, ["id"] = "3kczii_0916_1353", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = -1.9285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-135}{70}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{13}{14}", ["x"] = -1, ["y"] = 13, ["z"] = 14 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.32", ["zadani"] = { ["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"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{3}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-9}{10}}{\\frac{1\\frac{2}{5}}{3}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.33, bodu=49, $$(\frac{6 - 15}{-5 \cdot 9})^4=\textcolor{white}{\frac{1}{625}}$$return { ["body"] = 49, ["id"] = "d9PYsA_0916_1353", ["obtiznost"] = 0.5804, ["reseni"] = { ["float"] = 0.0016, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 625 }, ["render"] = "\\frac{1}{625}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{625}", ["y"] = 1, ["z"] = 625 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.33", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "6 - 15", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{6 - 15}{-5 \\cdot 9}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{6 - 15}{-5 \\cdot 9})^4", ["typ"] = "mocnina" } }

seed: tuxW7heOcxDv9akylvkh_0.34, bodu=13, $$(5 - (-12 \cdot 10)) \cdot 11=\textcolor{white}{1375}$$return { ["body"] = 13, ["id"] = "tpbwG3_0916_1353", ["obtiznost"] = 0.34, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1375, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1375}{1}", ["typ"] = "cislo" }, ["tex"] = "1375", ["tex_float"] = "1375", ["x"] = 1375 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.34", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 10", ["typ"] = "krat" }, ["render"] = "5 - (-12 \\cdot 10)", ["typ"] = "minus" }, ["render"] = "(5 - (-12 \\cdot 10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(5 - (-12 \\cdot 10)) \\cdot 11", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.35, bodu=46, $$\frac{-14}{2\frac{4}{11} - 8} - 12=\textcolor{white}{-9\frac{16}{31}}$$return { ["body"] = 46, ["id"] = "5krt6Q_0916_1353", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = -9.5161290322581, ["objekt"] = { ["hodnota"] = { ["citatel"] = -295, ["jmenovatel"] = 31 }, ["render"] = "\\frac{-295}{31}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{16}{31}", ["x"] = -9, ["y"] = 16, ["z"] = 31 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{11} - 8", ["typ"] = "minus" }, ["render"] = "\\frac{-14}{2\\frac{4}{11} - 8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{2\\frac{4}{11} - 8} - 12", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.36, bodu=47, $$\frac{-5 \cdot 1\frac{2}{4}}{14 \cdot -13}=\textcolor{white}{\frac{15}{364}}$$return { ["body"] = 47, ["id"] = "rLIWVV_0916_1353", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 0.041208791208791, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 364 }, ["render"] = "\\frac{-15}{-364}", ["typ"] = "cislo" }, ["tex"] = "\\frac{15}{364}", ["y"] = 15, ["z"] = 364 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 1\\frac{2}{4}", ["typ"] = "krat" }, ["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"] = "\\frac{-5 \\cdot 1\\frac{2}{4}}{14 \\cdot -13}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.37, bodu=48, $$7 - 3\frac{2}{7} + 12 - 7 - 6=\textcolor{white}{2\frac{5}{7}}$$return { ["body"] = 48, ["id"] = "IXOWXH_0916_1353", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = 2.7142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "\\frac{19}{7}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{5}{7}", ["x"] = 2, ["y"] = 5, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "7 - 3\\frac{2}{7}", ["typ"] = "minus" }, ["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"] = "minus" }, ["render"] = "7 - 3\\frac{2}{7} + 12 - 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 - 3\\frac{2}{7} + 12 - 7 - 6", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.38, bodu=49, $$\frac{14}{2\frac{4}{10} \cdot (10 - (-15))}=\textcolor{white}{\frac{7}{30}}$$return { ["body"] = 49, ["id"] = "pWvBDI_0916_1353", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = 0.23333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 30 }, ["render"] = "\\frac{14}{60}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{30}", ["y"] = 7, ["z"] = 30 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "10 - (-15)", ["typ"] = "minus" }, ["render"] = "(10 - (-15))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{4}{10} \\cdot (10 - (-15))", ["typ"] = "krat" }, ["render"] = "\\frac{14}{2\\frac{4}{10} \\cdot (10 - (-15))}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.39, bodu=50, $$\frac{15}{-11 - 1\frac{4}{10}} - 9=\textcolor{white}{-10\frac{13}{62}}$$return { ["body"] = 50, ["id"] = "1pPkP9_0916_1353", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = -10.209677419355, ["objekt"] = { ["hodnota"] = { ["citatel"] = -633, ["jmenovatel"] = 62 }, ["render"] = "\\frac{-633}{62}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{13}{62}", ["x"] = -10, ["y"] = 13, ["z"] = 62 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-11 - 1\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{15}{-11 - 1\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-11 - 1\\frac{4}{10}} - 9", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.4, bodu=16, $$-9 \cdot 10 \cdot 3 \cdot 15=\textcolor{white}{-4050}$$return { ["body"] = 16, ["id"] = "e5sBlu_0916_1353", ["obtiznost"] = 0.4, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -4050, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-4050}{1}", ["typ"] = "cislo" }, ["tex"] = "-4050", ["x"] = -4050 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 3", ["typ"] = "krat" }, ["render"] = "-9 \\cdot 10 \\cdot 3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 10 \\cdot 3 \\cdot 15", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.41, bodu=43, $$\frac{2 - (-9 + (-17))}{(-13 - (-8) + 9)^4}=\textcolor{white}{\frac{7}{64}}$$return { ["body"] = 43, ["id"] = "VRUL88_0916_1353", ["obtiznost"] = 0.5128, ["reseni"] = { ["float"] = 0.109375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 64 }, ["render"] = "\\frac{28}{256}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{64}", ["y"] = 7, ["z"] = 64 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-9 + (-17)", ["typ"] = "plus" }, ["render"] = "(-9 + (-17))", ["typ"] = "zavorka" }, ["render"] = "2 - (-9 + (-17))", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-13 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-13 - (-8) + 9", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-13 - (-8) + 9)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{2 - (-9 + (-17))}{(-13 - (-8) + 9)^4}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.42, bodu=34, $$8 + 9 - \frac{12}{11 \cdot -12}=\textcolor{white}{17\frac{1}{11}}$$return { ["body"] = 34, ["id"] = "TRG96e_0916_1353", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = 17.090909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = 188, ["jmenovatel"] = 11 }, ["render"] = "\\frac{188}{11}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{1}{11}", ["x"] = 17, ["y"] = 1, ["z"] = 11 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -12", ["typ"] = "krat" }, ["render"] = "\\frac{12}{11 \\cdot -12}", ["typ"] = "lomeno" }, ["render"] = "9 - \\frac{12}{11 \\cdot -12}", ["typ"] = "minus" }, ["render"] = "8 + 9 - \\frac{12}{11 \\cdot -12}", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.43, bodu=78, $$(1\frac{5}{7} - 8) \cdot -10 - (2\frac{2}{6} + 10)=\textcolor{white}{50\frac{11}{21}}$$return { ["body"] = 78, ["id"] = "SZ6pda_0916_1353", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 50.52380952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1061, ["jmenovatel"] = 21 }, ["render"] = "\\frac{1061}{21}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{11}{21}", ["x"] = 50, ["y"] = 11, ["z"] = 21 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} - 8", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{7} - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(1\\frac{5}{7} - 8) \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} + 10", ["typ"] = "plus" }, ["render"] = "(2\\frac{2}{6} + 10)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{5}{7} - 8) \\cdot -10 - (2\\frac{2}{6} + 10)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.44, bodu=56, $$\frac{12 + 9}{14 - \frac{1\frac{2}{7}}{-8}}=\textcolor{white}{1\frac{383}{793}}$$return { ["body"] = 56, ["id"] = "6Ga9Rm_0916_1353", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = 1.4829760403531, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1176, ["jmenovatel"] = 793 }, ["render"] = "\\frac{1176}{793}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{383}{793}", ["x"] = 1, ["y"] = 383, ["z"] = 793 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{7}}{-8}", ["typ"] = "lomeno" }, ["render"] = "14 - \\frac{1\\frac{2}{7}}{-8}", ["typ"] = "minus" }, ["render"] = "\\frac{12 + 9}{14 - \\frac{1\\frac{2}{7}}{-8}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.45, bodu=37, $$\frac{-11 - 10}{\frac{8}{-11} - 11}=\textcolor{white}{1\frac{34}{43}}$$return { ["body"] = 37, ["id"] = "rl5ajF_0916_1353", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = 1.7906976744186, ["objekt"] = { ["hodnota"] = { ["citatel"] = 77, ["jmenovatel"] = 43 }, ["render"] = "\\frac{-231}{-129}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{34}{43}", ["x"] = 1, ["y"] = 34, ["z"] = 43 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-11 - 10", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-11} - 11", ["typ"] = "minus" }, ["render"] = "\\frac{-11 - 10}{\\frac{8}{-11} - 11}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.46, bodu=108, $$\frac{7}{\frac{2\frac{3}{11}}{10 + \frac{1\frac{2}{5}}{3\frac{5}{8}}}}=\textcolor{white}{31\frac{3587}{3625}}$$return { ["body"] = 108, ["id"] = "m1j7MK_0916_1353", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 31.989517241379, ["objekt"] = { ["hodnota"] = { ["citatel"] = 115962, ["jmenovatel"] = 3625 }, ["render"] = "\\frac{115962}{3625}", ["typ"] = "cislo" }, ["tex"] = "31\\frac{3587}{3625}", ["x"] = 31, ["y"] = 3587, ["z"] = 3625 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.46", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["render"] = "10 + \\frac{1\\frac{2}{5}}{3\\frac{5}{8}}", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{11}}{10 + \\frac{1\\frac{2}{5}}{3\\frac{5}{8}}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{2\\frac{3}{11}}{10 + \\frac{1\\frac{2}{5}}{3\\frac{5}{8}}}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.47, bodu=83, $$\frac{2\frac{1}{5}}{4\frac{1}{5}} \cdot 10 \cdot (4 - 10)=\textcolor{white}{-31\frac{3}{7}}$$return { ["body"] = 83, ["id"] = "mKC1Nt_0916_1353", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = -31.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -220, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-660}{21}", ["typ"] = "cislo" }, ["tex"] = "-31\\frac{3}{7}", ["x"] = -31, ["y"] = 3, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.47", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{1}{5}} \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 - 10", ["typ"] = "minus" }, ["render"] = "(4 - 10)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{1}{5}}{4\\frac{1}{5}} \\cdot 10 \\cdot (4 - 10)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.48, bodu=72, $$(4 + (12 - 12)^2)^4 \cdot (-7 + 4\frac{5}{12}) \cdot 14=\textcolor{white}{-9258\frac{2}{3}}$$return { ["body"] = 72, ["id"] = "XEHIEb_0916_1353", ["obtiznost"] = 0.7832, ["reseni"] = { ["float"] = -9258.6666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27776, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-55552}{6}", ["typ"] = "cislo" }, ["tex"] = "-9258\\frac{2}{3}", ["x"] = -9258, ["y"] = 2, ["z"] = 3 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.48", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["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"] = 2, ["render"] = "(12 - 12)^2", ["typ"] = "mocnina" }, ["render"] = "4 + (12 - 12)^2", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(4 + (12 - 12)^2)^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "-7 + 4\\frac{5}{12}", ["typ"] = "plus" }, ["render"] = "(-7 + 4\\frac{5}{12})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(-7 + 4\\frac{5}{12}) \\cdot 14", ["typ"] = "krat" }, ["render"] = "(4 + (12 - 12)^2)^4 \\cdot (-7 + 4\\frac{5}{12}) \\cdot 14", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.49, bodu=61, $$11 + (4\frac{5}{8} - \frac{-16}{8}) \cdot 11=\textcolor{white}{83{,}875}$$return { ["body"] = 61, ["id"] = "emaDJy_0916_1353", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = 83.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 671, ["jmenovatel"] = 8 }, ["render"] = "\\frac{671}{8}", ["typ"] = "cislo" }, ["tex"] = "83\\frac{7}{8}", ["tex_float"] = "83{,}875", ["x"] = 83, ["y"] = 7, ["z"] = 8 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.49", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{8}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{5}{8} - \\frac{-16}{8}", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{8} - \\frac{-16}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{8} - \\frac{-16}{8}) \\cdot 11", ["typ"] = "krat" }, ["render"] = "11 + (4\\frac{5}{8} - \\frac{-16}{8}) \\cdot 11", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.5, bodu=113, $$\frac{9}{4\frac{4}{10} \cdot 2\frac{2}{5} \cdot 11 + 1\frac{2}{5}}=\textcolor{white}{\frac{225}{2939}}$$return { ["body"] = 113, ["id"] = "mM3Rap_0916_1353", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 0.076556651922423, ["objekt"] = { ["hodnota"] = { ["citatel"] = 225, ["jmenovatel"] = 2939 }, ["render"] = "\\frac{225}{2939}", ["typ"] = "cislo" }, ["tex"] = "\\frac{225}{2939}", ["y"] = 225, ["z"] = 2939 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.5", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["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} \\cdot 11", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{10} \\cdot 2\\frac{2}{5} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} \\cdot 2\\frac{2}{5} \\cdot 11 + 1\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{9}{4\\frac{4}{10} \\cdot 2\\frac{2}{5} \\cdot 11 + 1\\frac{2}{5}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.51, bodu=115, $$\frac{4\frac{4}{7} \cdot -5 + 3\frac{2}{7}}{\frac{4\frac{2}{8}}{-8}}=\textcolor{white}{36\frac{100}{119}}$$return { ["body"] = 115, ["id"] = "0oib7g_0916_1353", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = 36.840336134454, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4384, ["jmenovatel"] = 119 }, ["render"] = "\\frac{-4384}{-119}", ["typ"] = "cislo" }, ["tex"] = "36\\frac{100}{119}", ["x"] = 36, ["y"] = 100, ["z"] = 119 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} \\cdot -5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} \\cdot -5 + 3\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{-8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{4}{7} \\cdot -5 + 3\\frac{2}{7}}{\\frac{4\\frac{2}{8}}{-8}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.52, bodu=65, $$(5 + 9 - (13 - \frac{-9}{8}))^3=\textcolor{white}{-\frac{1}{512}}$$return { ["body"] = 65, ["id"] = "3yS25U_0916_1353", ["obtiznost"] = 0.7252, ["reseni"] = { ["float"] = -0.001953125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 512 }, ["render"] = "\\frac{-1}{512}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{512}", ["y"] = -1, ["z"] = 512 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.52", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 + 9", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{8}", ["typ"] = "lomeno" }, ["render"] = "13 - \\frac{-9}{8}", ["typ"] = "minus" }, ["render"] = "(13 - \\frac{-9}{8})", ["typ"] = "zavorka" }, ["render"] = "5 + 9 - (13 - \\frac{-9}{8})", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(5 + 9 - (13 - \\frac{-9}{8}))^3", ["typ"] = "mocnina" } }

seed: tuxW7heOcxDv9akylvkh_0.53, bodu=44, $$\frac{11}{5 \cdot 5 \cdot -14}=\textcolor{white}{-\frac{11}{350}}$$return { ["body"] = 44, ["id"] = "T4hYv0_0916_1353", ["obtiznost"] = 0.53, ["reseni"] = { ["float"] = -0.031428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 350 }, ["render"] = "\\frac{11}{-350}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{350}", ["y"] = -11, ["z"] = 350 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 5 \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{11}{5 \\cdot 5 \\cdot -14}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.54, bodu=119, $$3\frac{4}{8} + 3\frac{5}{8} - \frac{-5}{-14} \cdot 1\frac{1}{4}=\textcolor{white}{6\frac{19}{28}}$$return { ["body"] = 119, ["id"] = "qHGQt6_0916_1353", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = 6.6785714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 187, ["jmenovatel"] = 28 }, ["render"] = "\\frac{2992}{448}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{19}{28}", ["x"] = 6, ["y"] = 19, ["z"] = 28 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} + 3\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{-14} \\cdot 1\\frac{1}{4}", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{8} + 3\\frac{5}{8} - \\frac{-5}{-14} \\cdot 1\\frac{1}{4}", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.55, bodu=63, $$-8 + (11 + 10) \cdot (\frac{-13}{15})^2=\textcolor{white}{7\frac{58}{75}}$$return { ["body"] = 63, ["id"] = "NfR37r_0916_1353", ["obtiznost"] = 0.7076, ["reseni"] = { ["float"] = 7.7733333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 583, ["jmenovatel"] = 75 }, ["render"] = "\\frac{583}{75}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{58}{75}", ["x"] = 7, ["y"] = 58, ["z"] = 75 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.55", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "11 + 10", ["typ"] = "plus" }, ["render"] = "(11 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{15}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-13}{15})^2", ["typ"] = "mocnina" }, ["render"] = "(11 + 10) \\cdot (\\frac{-13}{15})^2", ["typ"] = "krat" }, ["render"] = "-8 + (11 + 10) \\cdot (\\frac{-13}{15})^2", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.56, bodu=91, $$-12 + (\frac{17}{-12})^2 + \frac{1\frac{4}{5}}{11}=\textcolor{white}{-9\frac{6569}{7920}}$$return { ["body"] = 91, ["id"] = "h2nyQi_0916_1353", ["obtiznost"] = 0.9332, ["reseni"] = { ["float"] = -9.8294191919192, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77849, ["jmenovatel"] = 7920 }, ["render"] = "\\frac{-77849}{7920}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{6569}{7920}", ["x"] = -9, ["y"] = 6569, ["z"] = 7920 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{17}{-12})^2", ["typ"] = "mocnina" }, ["render"] = "-12 + (\\frac{17}{-12})^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{5}}{11}", ["typ"] = "lomeno" }, ["render"] = "-12 + (\\frac{17}{-12})^2 + \\frac{1\\frac{4}{5}}{11}", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.57, bodu=123, $$3\frac{4}{7} \cdot \frac{7 + 4\frac{3}{10}}{2\frac{4}{9}} + 6=\textcolor{white}{22\frac{157}{308}}$$return { ["body"] = 123, ["id"] = "dcL5Ne_0916_1353", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = 22.50974025974, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6933, ["jmenovatel"] = 308 }, ["render"] = "\\frac{6933}{308}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{157}{308}", ["x"] = 22, ["y"] = 157, ["z"] = 308 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "7 + 4\\frac{3}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{7 + 4\\frac{3}{10}}{2\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{4}{7} \\cdot \\frac{7 + 4\\frac{3}{10}}{2\\frac{4}{9}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} \\cdot \\frac{7 + 4\\frac{3}{10}}{2\\frac{4}{9}} + 6", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.58, bodu=97, $$1\frac{3}{8} \cdot 14 \cdot (10 + 4\frac{4}{7} - (-10 + 8)^2)=\textcolor{white}{203{,}5}$$return { ["body"] = 97, ["id"] = "GxxzzI_0916_1353", ["obtiznost"] = 0.982, ["reseni"] = { ["float"] = 203.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 407, ["jmenovatel"] = 2 }, ["render"] = "\\frac{1628}{8}", ["typ"] = "cislo" }, ["tex"] = "203\\frac{1}{2}", ["tex_float"] = "203{,}5", ["x"] = 203, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.58", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "10 + 4\\frac{4}{7}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-10 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-10 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "10 + 4\\frac{4}{7} - (-10 + 8)^2", ["typ"] = "minus" }, ["render"] = "(10 + 4\\frac{4}{7} - (-10 + 8)^2)", ["typ"] = "zavorka" }, ["render"] = "14 \\cdot (10 + 4\\frac{4}{7} - (-10 + 8)^2)", ["typ"] = "krat" }, ["render"] = "1\\frac{3}{8} \\cdot 14 \\cdot (10 + 4\\frac{4}{7} - (-10 + 8)^2)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.59, bodu=76, $$\frac{(11 - 15)^3}{\frac{3\frac{1}{7}}{-6} + 7}=\textcolor{white}{-9\frac{15}{17}}$$return { ["body"] = 76, ["id"] = "KOO73v_0916_1353", ["obtiznost"] = 0.816, ["reseni"] = { ["float"] = -9.8823529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = -168, ["jmenovatel"] = 17 }, ["render"] = "\\frac{-1344}{136}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{15}{17}", ["x"] = -9, ["y"] = 15, ["z"] = 17 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.59", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "11 - 15", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(11 - 15)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{7}}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{7}}{-6} + 7", ["typ"] = "plus" }, ["render"] = "\\frac{(11 - 15)^3}{\\frac{3\\frac{1}{7}}{-6} + 7}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.6, bodu=128, $$3\frac{4}{5} \cdot \frac{-16 \cdot 3\frac{4}{11} + 18}{3\frac{3}{8}}=\textcolor{white}{-40\frac{488}{1485}}$$return { ["body"] = 128, ["id"] = "LjDaPa_0916_1353", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -40.32861952862, ["objekt"] = { ["hodnota"] = { ["citatel"] = -59888, ["jmenovatel"] = 1485 }, ["render"] = "\\frac{-59888}{1485}", ["typ"] = "cislo" }, ["tex"] = "-40\\frac{488}{1485}", ["x"] = -40, ["y"] = 488, ["z"] = 1485 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.6", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 3\\frac{4}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 3\\frac{4}{11} + 18", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-16 \\cdot 3\\frac{4}{11} + 18}{3\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{4}{5} \\cdot \\frac{-16 \\cdot 3\\frac{4}{11} + 18}{3\\frac{3}{8}}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.61, bodu=101, $$-10 - (4\frac{5}{9} + 19 + (\frac{12}{-12})^2 + (-13 - 4\frac{5}{13}))=\textcolor{white}{-17\frac{20}{117}}$$return { ["body"] = 101, ["id"] = "uG82dv_0916_1353", ["obtiznost"] = 1.0108, ["reseni"] = { ["float"] = -17.17094017094, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2009, ["jmenovatel"] = 117 }, ["render"] = "\\frac{-2009}{117}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{20}{117}", ["x"] = -17, ["y"] = 20, ["z"] = 117 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.61", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{12}{-12})^2", ["typ"] = "mocnina" }, ["render"] = "19 + (\\frac{12}{-12})^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "-13 - 4\\frac{5}{13}", ["typ"] = "minus" }, ["render"] = "19 + (\\frac{12}{-12})^2 + (-13 - 4\\frac{5}{13})", ["typ"] = "plus" }, ["render"] = "4\\frac{5}{9} + 19 + (\\frac{12}{-12})^2 + (-13 - 4\\frac{5}{13})", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{9} + 19 + (\\frac{12}{-12})^2 + (-13 - 4\\frac{5}{13}))", ["typ"] = "zavorka" }, ["render"] = "-10 - (4\\frac{5}{9} + 19 + (\\frac{12}{-12})^2 + (-13 - 4\\frac{5}{13}))", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.62, bodu=76, $$(-11 \cdot 9 - (1\frac{5}{8} + (-7))) \cdot (-17 - 11)=\textcolor{white}{2621{,}5}$$return { ["body"] = 76, ["id"] = "aVnQ7s_0916_1353", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 2621.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5243, ["jmenovatel"] = 2 }, ["render"] = "\\frac{20972}{8}", ["typ"] = "cislo" }, ["tex"] = "2621\\frac{1}{2}", ["tex_float"] = "2621{,}5", ["x"] = 2621, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.62", ["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"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} + (-7)", ["typ"] = "plus" }, ["render"] = "(1\\frac{5}{8} + (-7))", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot 9 - (1\\frac{5}{8} + (-7))", ["typ"] = "minus" }, ["render"] = "(-11 \\cdot 9 - (1\\frac{5}{8} + (-7)))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-17 - 11", ["typ"] = "minus" }, ["render"] = "(-17 - 11)", ["typ"] = "zavorka" }, ["render"] = "(-11 \\cdot 9 - (1\\frac{5}{8} + (-7))) \\cdot (-17 - 11)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.63, bodu=187, $$(1\frac{3}{9} - 11)^2 - (\frac{4\frac{3}{10}}{-6} + 17 - 2\frac{2}{5})=\textcolor{white}{79\frac{101}{180}}$$return { ["body"] = 187, ["id"] = "ml1VUK_0916_1353", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = 79.561111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14321, ["jmenovatel"] = 180 }, ["render"] = "\\frac{42963}{540}", ["typ"] = "cislo" }, ["tex"] = "79\\frac{101}{180}", ["x"] = 79, ["y"] = 101, ["z"] = 180 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.63", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} - 11", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{3}{9} - 11)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{10}}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "17 - 2\\frac{2}{5}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{3}{10}}{-6} + 17 - 2\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(\\frac{4\\frac{3}{10}}{-6} + 17 - 2\\frac{2}{5})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{3}{9} - 11)^2 - (\\frac{4\\frac{3}{10}}{-6} + 17 - 2\\frac{2}{5})", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.64, bodu=79, $$\frac{2\frac{2}{7} \cdot -18}{13} - (-9 \cdot 11)=\textcolor{white}{95\frac{76}{91}}$$return { ["body"] = 79, ["id"] = "DW6wIT_0916_1353", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = 95.835164835165, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8721, ["jmenovatel"] = 91 }, ["render"] = "\\frac{8721}{91}", ["typ"] = "cislo" }, ["tex"] = "95\\frac{76}{91}", ["x"] = 95, ["y"] = 76, ["z"] = 91 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot -18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{7} \\cdot -18}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{2}{7} \\cdot -18}{13} - (-9 \\cdot 11)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.65, bodu=106, $$2\frac{1}{6} + (-9 + \frac{14 - 6}{1\frac{5}{12}} - 12)=\textcolor{white}{-13\frac{19}{102}}$$return { ["body"] = 106, ["id"] = "PdMedH_0916_1353", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -13.186274509804, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1345, ["jmenovatel"] = 102 }, ["render"] = "\\frac{-1345}{102}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{19}{102}", ["x"] = -13, ["y"] = 19, ["z"] = 102 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.65", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "14 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{14 - 6}{1\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "-9 + \\frac{14 - 6}{1\\frac{5}{12}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-9 + \\frac{14 - 6}{1\\frac{5}{12}} - 12", ["typ"] = "minus" }, ["render"] = "2\\frac{1}{6} + (-9 + \\frac{14 - 6}{1\\frac{5}{12}} - 12)", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.66, bodu=92, $$(2 + (-7 + 13)^3) \cdot (3\frac{1}{9} \cdot -2 + 10)=\textcolor{white}{823\frac{5}{9}}$$return { ["body"] = 92, ["id"] = "Zpogwf_0916_1353", ["obtiznost"] = 0.9468, ["reseni"] = { ["float"] = 823.55555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7412, ["jmenovatel"] = 9 }, ["render"] = "\\frac{7412}{9}", ["typ"] = "cislo" }, ["tex"] = "823\\frac{5}{9}", ["x"] = 823, ["y"] = 5, ["z"] = 9 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.66", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-7 + 13", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-7 + 13)^3", ["typ"] = "mocnina" }, ["render"] = "2 + (-7 + 13)^3", ["typ"] = "plus" }, ["render"] = "(2 + (-7 + 13)^3)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{9} \\cdot -2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{9} \\cdot -2 + 10", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{9} \\cdot -2 + 10)", ["typ"] = "zavorka" }, ["render"] = "(2 + (-7 + 13)^3) \\cdot (3\\frac{1}{9} \\cdot -2 + 10)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.67, bodu=135, $$\frac{\frac{1\frac{5}{9}}{-11}}{(-9 + 9 + (-21))^2} \cdot 1\frac{1}{5}=\textcolor{white}{-\frac{4}{10395}}$$return { ["body"] = 135, ["id"] = "qOB0lK_0916_1353", ["obtiznost"] = 1.2468, ["reseni"] = { ["float"] = -0.00038480038480038, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 10395 }, ["render"] = "\\frac{-12}{31185}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{10395}", ["y"] = -4, ["z"] = 10395 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{9}}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "9 + (-21)", ["typ"] = "plus" }, ["render"] = "-9 + 9 + (-21)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 9 + (-21))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{1\\frac{5}{9}}{-11}}{(-9 + 9 + (-21))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{5}{9}}{-11}}{(-9 + 9 + (-21))^2} \\cdot 1\\frac{1}{5}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.68, bodu=84, $$\frac{-14 \cdot -8 + 11}{1\frac{4}{10} + (-11 \cdot -10)}=\textcolor{white}{1\frac{58}{557}}$$return { ["body"] = 84, ["id"] = "LvZgz5_0916_1353", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = 1.1041292639138, ["objekt"] = { ["hodnota"] = { ["citatel"] = 615, ["jmenovatel"] = 557 }, ["render"] = "\\frac{615}{557}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{58}{557}", ["x"] = 1, ["y"] = 58, ["z"] = 557 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.68", ["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"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -8 + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "1\\frac{4}{10} + (-11 \\cdot -10)", ["typ"] = "plus" }, ["render"] = "\\frac{-14 \\cdot -8 + 11}{1\\frac{4}{10} + (-11 \\cdot -10)}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.69, bodu=85, $$\frac{\frac{-12}{11 \cdot (3\frac{4}{9} + (-8))}}{18}=\textcolor{white}{\frac{6}{451}}$$return { ["body"] = 85, ["id"] = "r2Ea5f_0916_1353", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = 0.01330376940133, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 451 }, ["render"] = "\\frac{108}{8118}", ["typ"] = "cislo" }, ["tex"] = "\\frac{6}{451}", ["y"] = 6, ["z"] = 451 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + (-8)", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{9} + (-8))", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (3\\frac{4}{9} + (-8))", ["typ"] = "krat" }, ["render"] = "\\frac{-12}{11 \\cdot (3\\frac{4}{9} + (-8))}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-12}{11 \\cdot (3\\frac{4}{9} + (-8))}}{18}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.7, bodu=146, $$2\frac{4}{7} \cdot ((4\frac{2}{4} + (-8))^2 \cdot 1\frac{5}{12} \cdot -6 + 14)=\textcolor{white}{-231{,}75}$$return { ["body"] = 146, ["id"] = "OaTChS_0916_1353", ["obtiznost"] = 1.3212, ["reseni"] = { ["float"] = -231.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -927, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-12978}{56}", ["typ"] = "cislo" }, ["tex"] = "-231\\frac{3}{4}", ["tex_float"] = "-231{,}75", ["x"] = -231, ["y"] = 3, ["z"] = 4 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{4} + (-8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{4} + (-8))^2 \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{4} + (-8))^2 \\cdot 1\\frac{5}{12} \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{4} + (-8))^2 \\cdot 1\\frac{5}{12} \\cdot -6 + 14", ["typ"] = "plus" }, ["render"] = "((4\\frac{2}{4} + (-8))^2 \\cdot 1\\frac{5}{12} \\cdot -6 + 14)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{4}{7} \\cdot ((4\\frac{2}{4} + (-8))^2 \\cdot 1\\frac{5}{12} \\cdot -6 + 14)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.71, bodu=88, $$-8 + 9 \cdot 18 + 19 - 2\frac{5}{8} - 10=\textcolor{white}{160{,}375}$$return { ["body"] = 88, ["id"] = "Ups8wT_0916_1353", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = 160.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1283, ["jmenovatel"] = 8 }, ["render"] = "\\frac{1283}{8}", ["typ"] = "cislo" }, ["tex"] = "160\\frac{3}{8}", ["tex_float"] = "160{,}375", ["x"] = 160, ["y"] = 3, ["z"] = 8 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.71", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "19 - 2\\frac{5}{8}", ["typ"] = "minus" }, ["render"] = "9 \\cdot 18 + 19 - 2\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 18 + 19 - 2\\frac{5}{8} - 10", ["typ"] = "minus" }, ["render"] = "-8 + 9 \\cdot 18 + 19 - 2\\frac{5}{8} - 10", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.72, bodu=146, $$\frac{\frac{14}{4\frac{2}{9}} \cdot 4\frac{1}{9}}{3\frac{2}{5} - (-3) + (-17)}=\textcolor{white}{-1\frac{288}{1007}}$$return { ["body"] = 146, ["id"] = "Oakgvm_0916_1353", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = -1.2859980139027, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1295, ["jmenovatel"] = 1007 }, ["render"] = "\\frac{1295}{-1007}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{288}{1007}", ["x"] = -1, ["y"] = 288, ["z"] = 1007 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4\\frac{2}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4\\frac{2}{9}} \\cdot 4\\frac{1}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{5} - (-3)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{5} - (-3) + (-17)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{14}{4\\frac{2}{9}} \\cdot 4\\frac{1}{9}}{3\\frac{2}{5} - (-3) + (-17)}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.73, bodu=148, $$\frac{\frac{12 - 4\frac{4}{10}}{1\frac{1}{8} - (-18)}}{8 + 1\frac{1}{10}}=\textcolor{white}{\frac{608}{13923}}$$return { ["body"] = 148, ["id"] = "WLp9HF_0916_1353", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = 0.043668749551102, ["objekt"] = { ["hodnota"] = { ["citatel"] = 608, ["jmenovatel"] = 13923 }, ["render"] = "\\frac{3040}{69615}", ["typ"] = "cislo" }, ["tex"] = "\\frac{608}{13923}", ["y"] = 608, ["z"] = 13923 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "12 - 4\\frac{4}{10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{8} - (-18)", ["typ"] = "minus" }, ["render"] = "\\frac{12 - 4\\frac{4}{10}}{1\\frac{1}{8} - (-18)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "8 + 1\\frac{1}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{12 - 4\\frac{4}{10}}{1\\frac{1}{8} - (-18)}}{8 + 1\\frac{1}{10}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.74, bodu=92, $$-20 - 9 \cdot \frac{4\frac{2}{8}}{9} \cdot -10=\textcolor{white}{22{,}5}$$return { ["body"] = 92, ["id"] = "hjfnoH_0916_1353", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = 22.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 2 }, ["render"] = "\\frac{45}{2}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{1}{2}", ["tex_float"] = "22{,}5", ["x"] = 22, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.74", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{8}}{9} \\cdot -10", ["typ"] = "krat" }, ["render"] = "9 \\cdot \\frac{4\\frac{2}{8}}{9} \\cdot -10", ["typ"] = "krat" }, ["render"] = "-20 - 9 \\cdot \\frac{4\\frac{2}{8}}{9} \\cdot -10", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.75, bodu=151, $$\frac{\frac{5}{2\frac{5}{8}}}{2\frac{4}{7}} - 2\frac{1}{6} \cdot -18=\textcolor{white}{39\frac{20}{27}}$$return { ["body"] = 151, ["id"] = "4W9f5u_0916_1353", ["obtiznost"] = 1.35, ["reseni"] = { ["float"] = 39.740740740741, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1073, ["jmenovatel"] = 27 }, ["render"] = "\\frac{1073}{27}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{20}{27}", ["x"] = 39, ["y"] = 20, ["z"] = 27 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{2\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{5}{2\\frac{5}{8}}}{2\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot -18", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{5}{2\\frac{5}{8}}}{2\\frac{4}{7}} - 2\\frac{1}{6} \\cdot -18", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.76, bodu=152, $$(-7 - 2\frac{5}{7} - 18) \cdot \frac{2\frac{2}{4}}{1\frac{1}{4} + 9}=\textcolor{white}{-6\frac{218}{287}}$$return { ["body"] = 152, ["id"] = "TI0P5A_0916_1353", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = -6.7595818815331, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1940, ["jmenovatel"] = 287 }, ["render"] = "\\frac{-1940}{287}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{218}{287}", ["x"] = -6, ["y"] = 218, ["z"] = 287 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.76", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-7 - 2\\frac{5}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-7 - 2\\frac{5}{7} - 18", ["typ"] = "minus" }, ["render"] = "(-7 - 2\\frac{5}{7} - 18)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} + 9", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{2}{4}}{1\\frac{1}{4} + 9}", ["typ"] = "lomeno" }, ["render"] = "(-7 - 2\\frac{5}{7} - 18) \\cdot \\frac{2\\frac{2}{4}}{1\\frac{1}{4} + 9}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.77, bodu=187, $$2\frac{2}{12} \cdot 2\frac{1}{5} - \frac{1\frac{2}{7} + 1\frac{4}{12}}{10 + (-3)}=\textcolor{white}{4\frac{577}{1470}}$$return { ["body"] = 187, ["id"] = "FOmzHd_0916_1353", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = 4.3925170068027, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6457, ["jmenovatel"] = 1470 }, ["render"] = "\\frac{19371}{4410}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{577}{1470}", ["x"] = 4, ["y"] = 577, ["z"] = 1470 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{12} \\cdot 2\\frac{1}{5}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} + 1\\frac{4}{12}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "10 + (-3)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{2}{7} + 1\\frac{4}{12}}{10 + (-3)}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{2}{12} \\cdot 2\\frac{1}{5} - \\frac{1\\frac{2}{7} + 1\\frac{4}{12}}{10 + (-3)}", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.78, bodu=155, $$3\frac{3}{6} - (8 \cdot 2\frac{4}{9} \cdot 2\frac{1}{6} - 12)=\textcolor{white}{-26\frac{47}{54}}$$return { ["body"] = 155, ["id"] = "ZtBpBH_0916_1353", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -26.87037037037, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1451, ["jmenovatel"] = 54 }, ["render"] = "\\frac{-1451}{54}", ["typ"] = "cislo" }, ["tex"] = "-26\\frac{47}{54}", ["x"] = -26, ["y"] = 47, ["z"] = 54 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 2\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 2\\frac{4}{9} \\cdot 2\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 2\\frac{4}{9} \\cdot 2\\frac{1}{6} - 12", ["typ"] = "minus" }, ["render"] = "(8 \\cdot 2\\frac{4}{9} \\cdot 2\\frac{1}{6} - 12)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{3}{6} - (8 \\cdot 2\\frac{4}{9} \\cdot 2\\frac{1}{6} - 12)", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.79, bodu=126, $$\frac{8}{\frac{-13 \cdot 1\frac{4}{8}}{3\frac{3}{10} - (-11)} + (-19)}=\textcolor{white}{-\frac{11}{28}}$$return { ["body"] = 126, ["id"] = "oDwGd7_0916_1353", ["obtiznost"] = 1.19, ["reseni"] = { ["float"] = -0.39285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 28 }, ["render"] = "\\frac{88}{-224}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{28}", ["y"] = -11, ["z"] = 28 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.79", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 1\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{10} - (-11)", ["typ"] = "minus" }, ["render"] = "\\frac{-13 \\cdot 1\\frac{4}{8}}{3\\frac{3}{10} - (-11)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 \\cdot 1\\frac{4}{8}}{3\\frac{3}{10} - (-11)} + (-19)", ["typ"] = "plus" }, ["render"] = "\\frac{8}{\\frac{-13 \\cdot 1\\frac{4}{8}}{3\\frac{3}{10} - (-11)} + (-19)}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.8, bodu=159, $$1\frac{1}{6} \cdot (18 \cdot 4\frac{4}{9} + \frac{8}{-7 + 1\frac{1}{3}})=\textcolor{white}{91\frac{35}{51}}$$return { ["body"] = 159, ["id"] = "5Bqwgx_0916_1353", ["obtiznost"] = 1.4, ["reseni"] = { ["float"] = 91.686274509804, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4676, ["jmenovatel"] = 51 }, ["render"] = "\\frac{9352}{102}", ["typ"] = "cislo" }, ["tex"] = "91\\frac{35}{51}", ["x"] = 91, ["y"] = 35, ["z"] = 51 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.8", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "18 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "-7 + 1\\frac{1}{3}", ["typ"] = "plus" }, ["render"] = "\\frac{8}{-7 + 1\\frac{1}{3}}", ["typ"] = "lomeno" }, ["render"] = "18 \\cdot 4\\frac{4}{9} + \\frac{8}{-7 + 1\\frac{1}{3}}", ["typ"] = "plus" }, ["render"] = "(18 \\cdot 4\\frac{4}{9} + \\frac{8}{-7 + 1\\frac{1}{3}})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} \\cdot (18 \\cdot 4\\frac{4}{9} + \\frac{8}{-7 + 1\\frac{1}{3}})", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.81, bodu=229, $$(\frac{2\frac{4}{9}}{15} + 1\frac{3}{8} \cdot 1\frac{2}{9} + 1\frac{1}{6} + (-8)) \cdot 1\frac{2}{5}=\textcolor{white}{-6\frac{5323}{5400}}$$return { ["body"] = 229, ["id"] = "MH9Nqk_0916_1353", ["obtiznost"] = 1.81, ["reseni"] = { ["float"] = -6.9857407407407, ["objekt"] = { ["hodnota"] = { ["citatel"] = -37723, ["jmenovatel"] = 5400 }, ["render"] = "\\frac{-37723}{5400}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{5323}{5400}", ["x"] = -6, ["y"] = 5323, ["z"] = 5400 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.81", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{9}}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} \\cdot 1\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} \\cdot 1\\frac{2}{9} + 1\\frac{1}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} \\cdot 1\\frac{2}{9} + 1\\frac{1}{6} + (-8)", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{4}{9}}{15} + 1\\frac{3}{8} \\cdot 1\\frac{2}{9} + 1\\frac{1}{6} + (-8)", ["typ"] = "plus" }, ["render"] = "(\\frac{2\\frac{4}{9}}{15} + 1\\frac{3}{8} \\cdot 1\\frac{2}{9} + 1\\frac{1}{6} + (-8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "(\\frac{2\\frac{4}{9}}{15} + 1\\frac{3}{8} \\cdot 1\\frac{2}{9} + 1\\frac{1}{6} + (-8)) \\cdot 1\\frac{2}{5}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.82, bodu=137, $$\frac{((\frac{-16}{14})^2 + (-11)) \cdot 4\frac{4}{7}}{(14 + 8)^2}=\textcolor{white}{-\frac{3800}{41503}}$$return { ["body"] = 137, ["id"] = "wYY9Qg_0916_1353", ["obtiznost"] = 1.2592, ["reseni"] = { ["float"] = -0.09155964629063, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3800, ["jmenovatel"] = 41503 }, ["render"] = "\\frac{-15200}{166012}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3800}{41503}", ["y"] = -3800, ["z"] = 41503 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{14}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-16}{14})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(\\frac{-16}{14})^2 + (-11)", ["typ"] = "plus" }, ["render"] = "((\\frac{-16}{14})^2 + (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "((\\frac{-16}{14})^2 + (-11)) \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "14 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(14 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{((\\frac{-16}{14})^2 + (-11)) \\cdot 4\\frac{4}{7}}{(14 + 8)^2}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.83, bodu=232, $$2\frac{2}{9} - \frac{2\frac{5}{10}}{4\frac{4}{6}} - \frac{-9}{3\frac{3}{7}} \cdot 4\frac{2}{12}=\textcolor{white}{12\frac{629}{1008}}$$return { ["body"] = 232, ["id"] = "EpXy0F_0916_1353", ["obtiznost"] = 1.83, ["reseni"] = { ["float"] = 12.624007936508, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12725, ["jmenovatel"] = 1008 }, ["render"] = "\\frac{50900}{4032}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{629}{1008}", ["x"] = 12, ["y"] = 629, ["z"] = 1008 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{10}}{4\\frac{4}{6}}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{2}{9} - \\frac{2\\frac{5}{10}}{4\\frac{4}{6}}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{2}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{3}{7}} \\cdot 4\\frac{2}{12}", ["typ"] = "krat" }, ["render"] = "2\\frac{2}{9} - \\frac{2\\frac{5}{10}}{4\\frac{4}{6}} - \\frac{-9}{3\\frac{3}{7}} \\cdot 4\\frac{2}{12}", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.84, bodu=134, $$\frac{4\frac{5}{11} - (-8)}{(12 + 19 - 2\frac{4}{8}) \cdot -14}=\textcolor{white}{-\frac{137}{4389}}$$return { ["body"] = 134, ["id"] = "Q15npf_0916_1353", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = -0.031214399635452, ["objekt"] = { ["hodnota"] = { ["citatel"] = -137, ["jmenovatel"] = 4389 }, ["render"] = "\\frac{137}{-4389}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{137}{4389}", ["y"] = -137, ["z"] = 4389 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} - (-8)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "12 + 19", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "12 + 19 - 2\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "(12 + 19 - 2\\frac{4}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(12 + 19 - 2\\frac{4}{8}) \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{5}{11} - (-8)}{(12 + 19 - 2\\frac{4}{8}) \\cdot -14}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.85, bodu=158, $$\frac{1\frac{4}{13}}{(-22 + (-6 + 9))^2 \cdot \frac{-11}{3\frac{3}{8}}}=\textcolor{white}{-\frac{459}{412984}}$$return { ["body"] = 158, ["id"] = "IPYpbr_0916_1353", ["obtiznost"] = 1.3948, ["reseni"] = { ["float"] = -0.0011114232028359, ["objekt"] = { ["hodnota"] = { ["citatel"] = -459, ["jmenovatel"] = 412984 }, ["render"] = "\\frac{459}{-412984}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{459}{412984}", ["y"] = -459, ["z"] = 412984 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.85", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "-22 + (-6 + 9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-22 + (-6 + 9))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{3\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "(-22 + (-6 + 9))^2 \\cdot \\frac{-11}{3\\frac{3}{8}}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{4}{13}}{(-22 + (-6 + 9))^2 \\cdot \\frac{-11}{3\\frac{3}{8}}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.86, bodu=137, $$\frac{2\frac{3}{5}}{17} \cdot \frac{-10 - (-13 - 4\frac{5}{7})}{8}=\textcolor{white}{\frac{351}{2380}}$$return { ["body"] = 137, ["id"] = "ZkEcRh_0916_1353", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = 0.14747899159664, ["objekt"] = { ["hodnota"] = { ["citatel"] = 351, ["jmenovatel"] = 2380 }, ["render"] = "\\frac{351}{2380}", ["typ"] = "cislo" }, ["tex"] = "\\frac{351}{2380}", ["y"] = 351, ["z"] = 2380 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{5}}{17}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-13 - 4\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(-13 - 4\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "-10 - (-13 - 4\\frac{5}{7})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - (-13 - 4\\frac{5}{7})}{8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{3}{5}}{17} \\cdot \\frac{-10 - (-13 - 4\\frac{5}{7})}{8}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.87, bodu=206, $$-15 \cdot 2\frac{1}{9} + \frac{(17 - 14)^3}{4\frac{3}{10} + 2\frac{5}{10} + 2\frac{2}{5}}=\textcolor{white}{-28\frac{101}{138}}$$return { ["body"] = 206, ["id"] = "n2QYTE_0916_1353", ["obtiznost"] = 1.6812, ["reseni"] = { ["float"] = -28.731884057971, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3965, ["jmenovatel"] = 138 }, ["render"] = "\\frac{-3965}{138}", ["typ"] = "cislo" }, ["tex"] = "-28\\frac{101}{138}", ["x"] = -28, ["y"] = 101, ["z"] = 138 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 2\\frac{1}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "17 - 14", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(17 - 14)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} + 2\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "4\\frac{3}{10} + 2\\frac{5}{10} + 2\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{(17 - 14)^3}{4\\frac{3}{10} + 2\\frac{5}{10} + 2\\frac{2}{5}}", ["typ"] = "lomeno" }, ["render"] = "-15 \\cdot 2\\frac{1}{9} + \\frac{(17 - 14)^3}{4\\frac{3}{10} + 2\\frac{5}{10} + 2\\frac{2}{5}}", ["typ"] = "plus" } }

seed: tuxW7heOcxDv9akylvkh_0.88, bodu=172, $$\frac{1\frac{5}{9} - 17}{-10 + 3\frac{4}{6} - 8 + 4\frac{4}{10} - 15}=\textcolor{white}{\frac{695}{1122}}$$return { ["body"] = 172, ["id"] = "dNvvws_0916_1353", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = 0.61942959001783, ["objekt"] = { ["hodnota"] = { ["citatel"] = 695, ["jmenovatel"] = 1122 }, ["render"] = "\\frac{-2085}{-3366}", ["typ"] = "cislo" }, ["tex"] = "\\frac{695}{1122}", ["y"] = 695, ["z"] = 1122 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} - 17", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{6} - 8", ["typ"] = "minus" }, ["render"] = "-10 + 3\\frac{4}{6} - 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} - 15", ["typ"] = "minus" }, ["render"] = "-10 + 3\\frac{4}{6} - 8 + 4\\frac{4}{10} - 15", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{5}{9} - 17}{-10 + 3\\frac{4}{6} - 8 + 4\\frac{4}{10} - 15}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.89, bodu=173, $$\frac{1\frac{5}{6}}{-13} \cdot \frac{\frac{3\frac{1}{3}}{12}}{-15 - 1\frac{4}{13}}=\textcolor{white}{\frac{55}{22896}}$$return { ["body"] = 173, ["id"] = "iDggOm_0916_1353", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = 0.0024021663172607, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 22896 }, ["render"] = "\\frac{715}{297648}", ["typ"] = "cislo" }, ["tex"] = "\\frac{55}{22896}", ["y"] = 55, ["z"] = 22896 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{6}}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{3}}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "-15 - 1\\frac{4}{13}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{3\\frac{1}{3}}{12}}{-15 - 1\\frac{4}{13}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{6}}{-13} \\cdot \\frac{\\frac{3\\frac{1}{3}}{12}}{-15 - 1\\frac{4}{13}}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.9, bodu=143, $$\frac{-14 + \frac{-10}{8} + 1\frac{1}{10}}{5 \cdot 16 + 2\frac{4}{11}}=\textcolor{white}{-\frac{3113}{18120}}$$return { ["body"] = 143, ["id"] = "17lBCP_0916_1353", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -0.17179911699779, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3113, ["jmenovatel"] = 18120 }, ["render"] = "\\frac{-3113}{18120}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3113}{18120}", ["y"] = -3113, ["z"] = 18120 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{8}", ["typ"] = "lomeno" }, ["render"] = "-14 + \\frac{-10}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "-14 + \\frac{-10}{8} + 1\\frac{1}{10}", ["typ"] = "plus" }, ["c2"] = { ["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"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 16 + 2\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{-14 + \\frac{-10}{8} + 1\\frac{1}{10}}{5 \\cdot 16 + 2\\frac{4}{11}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.91, bodu=144, $$\frac{\frac{15}{\frac{-6}{4\frac{2}{6}}} + (-3 + (-12)) - 2\frac{5}{11}}{19}=\textcolor{white}{-1\frac{613}{1254}}$$return { ["body"] = 144, ["id"] = "ZgrxG5_0916_1353", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = -1.4888357256778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1867, ["jmenovatel"] = 1254 }, ["render"] = "\\frac{-1867}{1254}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{613}{1254}", ["x"] = -1, ["y"] = 613, ["z"] = 1254 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["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"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{4\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{15}{\\frac{-6}{4\\frac{2}{6}}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-3 + (-12)", ["typ"] = "plus" }, ["render"] = "\\frac{15}{\\frac{-6}{4\\frac{2}{6}}} + (-3 + (-12))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{\\frac{-6}{4\\frac{2}{6}}} + (-3 + (-12)) - 2\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{15}{\\frac{-6}{4\\frac{2}{6}}} + (-3 + (-12)) - 2\\frac{5}{11}}{19}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.92, bodu=213, $$18 \cdot 2\frac{1}{8} - 4\frac{3}{7} \cdot (1\frac{5}{11} - 3\frac{3}{7}) \cdot 15=\textcolor{white}{169\frac{823}{2156}}$$return { ["body"] = 213, ["id"] = "k8qJug_0916_1353", ["obtiznost"] = 1.72, ["reseni"] = { ["float"] = 169.38172541744, ["objekt"] = { ["hodnota"] = { ["citatel"] = 365187, ["jmenovatel"] = 2156 }, ["render"] = "\\frac{365187}{2156}", ["typ"] = "cislo" }, ["tex"] = "169\\frac{823}{2156}", ["x"] = 169, ["y"] = 823, ["z"] = 2156 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "18 \\cdot 2\\frac{1}{8}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{11} - 3\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{11} - 3\\frac{3}{7})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{7} \\cdot (1\\frac{5}{11} - 3\\frac{3}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} \\cdot (1\\frac{5}{11} - 3\\frac{3}{7}) \\cdot 15", ["typ"] = "krat" }, ["render"] = "18 \\cdot 2\\frac{1}{8} - 4\\frac{3}{7} \\cdot (1\\frac{5}{11} - 3\\frac{3}{7}) \\cdot 15", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.93, bodu=231, $$-8 \cdot (17 + 11 - (\frac{2\frac{4}{7}}{(1\frac{4}{12} - 1\frac{5}{9})^3} - 13))=\textcolor{white}{-2202\frac{4}{7}}$$return { ["body"] = 231, ["id"] = "d3P2NJ_0916_1353", ["obtiznost"] = 1.8248, ["reseni"] = { ["float"] = -2202.5714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15418, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-61672}{28}", ["typ"] = "cislo" }, ["tex"] = "-2202\\frac{4}{7}", ["x"] = -2202, ["y"] = 4, ["z"] = 7 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.93", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "17 + 11", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{12} - 1\\frac{5}{9}", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(1\\frac{4}{12} - 1\\frac{5}{9})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3} - 13", ["typ"] = "minus" }, ["render"] = "(\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3} - 13)", ["typ"] = "zavorka" }, ["render"] = "17 + 11 - (\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3} - 13)", ["typ"] = "minus" }, ["render"] = "(17 + 11 - (\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3} - 13))", ["typ"] = "zavorka" }, ["render"] = "-8 \\cdot (17 + 11 - (\\frac{2\\frac{4}{7}}{(1\\frac{4}{12} - 1\\frac{5}{9})^3} - 13))", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.94, bodu=291, $$\frac{\frac{4\frac{5}{12} \cdot 4\frac{4}{9} \cdot 1\frac{5}{13}}{3\frac{3}{10} + 2\frac{5}{11}}}{1\frac{1}{7}}=\textcolor{white}{4\frac{3277}{24687}}$$return { ["body"] = 291, ["id"] = "n81kpD_0916_1353", ["obtiznost"] = 2.14, ["reseni"] = { ["float"] = 4.1327419289505, ["objekt"] = { ["hodnota"] = { ["citatel"] = 102025, ["jmenovatel"] = 24687 }, ["render"] = "\\frac{816200}{197496}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{3277}{24687}", ["x"] = 4, ["y"] = 3277, ["z"] = 24687 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} \\cdot 1\\frac{5}{13}", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{12} \\cdot 4\\frac{4}{9} \\cdot 1\\frac{5}{13}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{10} + 2\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{5}{12} \\cdot 4\\frac{4}{9} \\cdot 1\\frac{5}{13}}{3\\frac{3}{10} + 2\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{5}{12} \\cdot 4\\frac{4}{9} \\cdot 1\\frac{5}{13}}{3\\frac{3}{10} + 2\\frac{5}{11}}}{1\\frac{1}{7}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.95, bodu=120, $$-6 \cdot -15 \cdot (13 - 3\frac{2}{13} - (-21) + 22)=\textcolor{white}{4756\frac{2}{13}}$$return { ["body"] = 120, ["id"] = "gg9TUM_0916_1353", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 4756.1538461538, ["objekt"] = { ["hodnota"] = { ["citatel"] = 61830, ["jmenovatel"] = 13 }, ["render"] = "\\frac{61830}{13}", ["typ"] = "cislo" }, ["tex"] = "4756\\frac{2}{13}", ["x"] = 4756, ["y"] = 2, ["z"] = 13 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{2}{13}", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{2}{13}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{2}{13} - (-21)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{2}{13} - (-21) + 22", ["typ"] = "plus" }, ["render"] = "(13 - 3\\frac{2}{13} - (-21) + 22)", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot -15 \\cdot (13 - 3\\frac{2}{13} - (-21) + 22)", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.96, bodu=219, $$3\frac{1}{7} \cdot 3\frac{2}{9} \cdot (\frac{17}{-14})^2 \cdot 1\frac{2}{8}=\textcolor{white}{18\frac{16427}{24696}}$$return { ["body"] = 219, ["id"] = "Viw7tx_0916_1353", ["obtiznost"] = 1.754, ["reseni"] = { ["float"] = 18.665168448332, ["objekt"] = { ["hodnota"] = { ["citatel"] = 460955, ["jmenovatel"] = 24696 }, ["render"] = "\\frac{921910}{49392}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{16427}{24696}", ["x"] = 18, ["y"] = 16427, ["z"] = 24696 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{7} \\cdot 3\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{-14}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{17}{-14})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "(\\frac{17}{-14})^2 \\cdot 1\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{7} \\cdot 3\\frac{2}{9} \\cdot (\\frac{17}{-14})^2 \\cdot 1\\frac{2}{8}", ["typ"] = "krat" } }

seed: tuxW7heOcxDv9akylvkh_0.97, bodu=227, $$\frac{(\frac{(-3 + 3\frac{5}{15})^4}{-12 - 1\frac{5}{8}} + 4\frac{2}{6}) \cdot 20}{4\frac{3}{8}}=\textcolor{white}{19\frac{49775}{61803}}$$return { ["body"] = 227, ["id"] = "Zl8woO_0916_1353", ["obtiznost"] = 1.8028, ["reseni"] = { ["float"] = 19.805381615779, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1224032, ["jmenovatel"] = 61803 }, ["render"] = "\\frac{6120160}{309015}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{49775}{61803}", ["x"] = 19, ["y"] = 49775, ["z"] = 61803 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{5}{15}", ["typ"] = "cislo" }, ["render"] = "-3 + 3\\frac{5}{15}", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-3 + 3\\frac{5}{15})^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-12 - 1\\frac{5}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{(-3 + 3\\frac{5}{15})^4}{-12 - 1\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-3 + 3\\frac{5}{15})^4}{-12 - 1\\frac{5}{8}} + 4\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "(\\frac{(-3 + 3\\frac{5}{15})^4}{-12 - 1\\frac{5}{8}} + 4\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "(\\frac{(-3 + 3\\frac{5}{15})^4}{-12 - 1\\frac{5}{8}} + 4\\frac{2}{6}) \\cdot 20", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{(-3 + 3\\frac{5}{15})^4}{-12 - 1\\frac{5}{8}} + 4\\frac{2}{6}) \\cdot 20}{4\\frac{3}{8}}", ["typ"] = "lomeno" } }

seed: tuxW7heOcxDv9akylvkh_0.98, bodu=125, $$15 + 1\frac{3}{12} - (-17 \cdot \frac{-8 + (-13)}{13 + 6})=\textcolor{white}{-2\frac{41}{76}}$$return { ["body"] = 125, ["id"] = "nSy0hl_0916_1353", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -2.5394736842105, ["objekt"] = { ["hodnota"] = { ["citatel"] = -193, ["jmenovatel"] = 76 }, ["render"] = "\\frac{-193}{76}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{41}{76}", ["x"] = -2, ["y"] = 41, ["z"] = 76 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "15 + 1\\frac{3}{12}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-8 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "13 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{-8 + (-13)}{13 + 6}", ["typ"] = "lomeno" }, ["render"] = "-17 \\cdot \\frac{-8 + (-13)}{13 + 6}", ["typ"] = "krat" }, ["render"] = "15 + 1\\frac{3}{12} - (-17 \\cdot \\frac{-8 + (-13)}{13 + 6})", ["typ"] = "minus" } }

seed: tuxW7heOcxDv9akylvkh_0.99, bodu=157, $$(3\frac{3}{10} + (-16)) \cdot (15 \cdot (4\frac{2}{7} - (-20)) - (-16))=\textcolor{white}{-4829\frac{22}{35}}$$return { ["body"] = 157, ["id"] = "WKRmHD_0916_1353", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -4829.6285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -169037, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-338074}{70}", ["typ"] = "cislo" }, ["tex"] = "-4829\\frac{22}{35}", ["x"] = -4829, ["y"] = 22, ["z"] = 35 }, ["seed"] = "tuxW7heOcxDv9akylvkh_0.99", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{10} + (-16)", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{10} + (-16))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{7} - (-20)", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{7} - (-20))", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot (4\\frac{2}{7} - (-20))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "15 \\cdot (4\\frac{2}{7} - (-20)) - (-16)", ["typ"] = "minus" }, ["render"] = "(15 \\cdot (4\\frac{2}{7} - (-20)) - (-16))", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{3}{10} + (-16)) \\cdot (15 \\cdot (4\\frac{2}{7} - (-20)) - (-16))", ["typ"] = "krat" } }

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