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Nahodny test, priklady s rostouci obtiznosti...

seed: U5UqLNI5s5tfCc08UnNg_0, bodu=5, $$(11 + 5) \cdot 9 \cdot 7=\textcolor{white}{1008}$$return { ["body"] = 5, ["id"] = "dMRdFh_0422_0419", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1008, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1008}{1}", ["typ"] = "cislo" }, ["tex"] = "1008", ["x"] = 1008 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 + 5", ["typ"] = "plus" }, ["render"] = "(11 + 5)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 7", ["typ"] = "krat" }, ["render"] = "(11 + 5) \\cdot 9 \\cdot 7", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.01, bodu=19, $$(\frac{7 \cdot 9 + 6}{-6})^2=\textcolor{white}{132{,}25}$$return { ["body"] = 19, ["id"] = "3ktKWu_0422_0419", ["obtiznost"] = 0.2232, ["reseni"] = { ["float"] = 132.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 529, ["jmenovatel"] = 4 }, ["render"] = "\\frac{529}{4}", ["typ"] = "cislo" }, ["tex"] = "132\\frac{1}{4}", ["tex_float"] = "132{,}25", ["x"] = 132, ["y"] = 1, ["z"] = 4 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.01", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 9 + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{7 \\cdot 9 + 6}{-6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7 \\cdot 9 + 6}{-6})^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.02, bodu=11, $$\frac{(8 - 3)^3}{6 + 7 + 5}=\textcolor{white}{6\frac{17}{18}}$$return { ["body"] = 11, ["id"] = "Ota9o0_0422_0419", ["obtiznost"] = 0.0704, ["reseni"] = { ["float"] = 6.9444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 125, ["jmenovatel"] = 18 }, ["render"] = "\\frac{125}{18}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{17}{18}", ["x"] = 6, ["y"] = 17, ["z"] = 18 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.02", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "8 - 3", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(8 - 3)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 5", ["typ"] = "plus" }, ["render"] = "6 + 7 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{(8 - 3)^3}{6 + 7 + 5}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.03, bodu=10, $$6 \cdot (\frac{7}{8} - 7)=\textcolor{white}{-36{,}75}$$return { ["body"] = 10, ["id"] = "sATAuR_0422_0419", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = -36.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -147, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-294}{8}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{3}{4}", ["tex_float"] = "-36{,}75", ["x"] = -36, ["y"] = 3, ["z"] = 4 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8} - 7", ["typ"] = "minus" }, ["render"] = "(\\frac{7}{8} - 7)", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (\\frac{7}{8} - 7)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.04, bodu=10, $$(\frac{7 - 4}{-6 + (-5) + 8})^2=\textcolor{white}{1}$$return { ["body"] = 10, ["id"] = "tH1IZV_0422_0419", ["obtiznost"] = 0.0408, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1}{1}", ["typ"] = "cislo" }, ["tex"] = "1", ["x"] = 1 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.04", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 - 4", ["typ"] = "minus" }, ["c2"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-6 + (-5) + 8", ["typ"] = "plus" }, ["render"] = "\\frac{7 - 4}{-6 + (-5) + 8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7 - 4}{-6 + (-5) + 8})^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.05, bodu=20, $$\frac{(\frac{7}{5})^3 + 4}{9}=\textcolor{white}{\frac{281}{375}}$$return { ["body"] = 20, ["id"] = "s5FHcp_0422_0419", ["obtiznost"] = 0.2372, ["reseni"] = { ["float"] = 0.74933333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 281, ["jmenovatel"] = 375 }, ["render"] = "\\frac{843}{1125}", ["typ"] = "cislo" }, ["tex"] = "\\frac{281}{375}", ["y"] = 281, ["z"] = 375 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{5})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(\\frac{7}{5})^3 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{7}{5})^3 + 4}{9}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.06, bodu=11, $$(\frac{(\frac{7}{7})^3}{-5 - (-3)})^2=\textcolor{white}{0{,}25}$$return { ["body"] = 11, ["id"] = "IGMryt_0422_0419", ["obtiznost"] = 0.0628, ["reseni"] = { ["float"] = 0.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 4 }, ["render"] = "\\frac{1}{4}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{4}", ["tex_float"] = "0{,}25", ["y"] = 1, ["z"] = 4 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.06", ["zadani"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{7})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-5 - (-3)", ["typ"] = "minus" }, ["render"] = "\\frac{(\\frac{7}{7})^3}{-5 - (-3)}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{(\\frac{7}{7})^3}{-5 - (-3)})^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.07, bodu=22, $$\frac{\frac{1\frac{3}{6}}{8} + 7}{6}=\textcolor{white}{1\frac{19}{96}}$$return { ["body"] = 22, ["id"] = "I2PqXt_0422_0419", ["obtiznost"] = 0.27, ["reseni"] = { ["float"] = 1.1979166666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 115, ["jmenovatel"] = 96 }, ["render"] = "\\frac{115}{96}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{19}{96}", ["x"] = 1, ["y"] = 19, ["z"] = 96 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6}}{8} + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{3}{6}}{8} + 7}{6}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.08, bodu=6, $$(10 \cdot 8 - 9) \cdot 7=\textcolor{white}{497}$$return { ["body"] = 6, ["id"] = "9XNMXt_0422_0419", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 497, ["jmenovatel"] = 1 }, ["render"] = "\\frac{497}{1}", ["typ"] = "cislo" }, ["tex"] = "497", ["tex_float"] = "497", ["x"] = 497 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.08", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8 - 9", ["typ"] = "minus" }, ["render"] = "(10 \\cdot 8 - 9)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(10 \\cdot 8 - 9) \\cdot 7", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.09, bodu=49, $$(5 - 11 - 9 \cdot 2\frac{2}{6})^2=\textcolor{white}{729}$$return { ["body"] = 49, ["id"] = "Tfg0xy_0422_0419", ["obtiznost"] = 0.582, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 729, ["jmenovatel"] = 1 }, ["render"] = "\\frac{729}{1}", ["typ"] = "cislo" }, ["tex"] = "729", ["tex_float"] = "729", ["x"] = 729 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.09", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 - 11", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 2\\frac{2}{6}", ["typ"] = "krat" }, ["render"] = "5 - 11 - 9 \\cdot 2\\frac{2}{6}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(5 - 11 - 9 \\cdot 2\\frac{2}{6})^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.1, bodu=12, $$\frac{6}{8 \cdot 10}=\textcolor{white}{0{,}075}$$return { ["body"] = 12, ["id"] = "vvbB3k_0422_0419", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 0.075, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 40 }, ["render"] = "\\frac{6}{80}", ["typ"] = "cislo" }, ["tex"] = "\\frac{3}{40}", ["tex_float"] = "0{,}075", ["y"] = 3, ["z"] = 40 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{6}{8 \\cdot 10}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.11, bodu=13, $$\frac{6}{7 - 7 \cdot 2}=\textcolor{white}{-\frac{6}{7}}$$return { ["body"] = 13, ["id"] = "HrSCvK_0422_0419", ["obtiznost"] = 0.11, ["reseni"] = { ["float"] = -0.85714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 7 }, ["render"] = "\\frac{6}{-7}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{6}{7}", ["y"] = -6, ["z"] = 7 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 2", ["typ"] = "krat" }, ["render"] = "7 - 7 \\cdot 2", ["typ"] = "minus" }, ["render"] = "\\frac{6}{7 - 7 \\cdot 2}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.12, bodu=6, $$-8 + 12 - 5 \cdot 5=\textcolor{white}{-21}$$return { ["body"] = 6, ["id"] = "0105zT_0422_0419", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-21}{1}", ["typ"] = "cislo" }, ["tex"] = "-21", ["tex_float"] = "-21", ["x"] = -21 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "12 - 5 \\cdot 5", ["typ"] = "minus" }, ["render"] = "-8 + 12 - 5 \\cdot 5", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.13, bodu=27, $$\frac{(5 - 9)^2}{\frac{7}{1\frac{4}{9}}}=\textcolor{white}{3\frac{19}{63}}$$return { ["body"] = 27, ["id"] = "NnR1bc_0422_0419", ["obtiznost"] = 0.3368, ["reseni"] = { ["float"] = 3.3015873015873, ["objekt"] = { ["hodnota"] = { ["citatel"] = 208, ["jmenovatel"] = 63 }, ["render"] = "\\frac{208}{63}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{19}{63}", ["x"] = 3, ["y"] = 19, ["z"] = 63 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.13", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(5 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{1\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(5 - 9)^2}{\\frac{7}{1\\frac{4}{9}}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.14, bodu=14, $$10 \cdot (\frac{6}{8 - 10})^2=\textcolor{white}{90}$$return { ["body"] = 14, ["id"] = "y0txBc_0422_0419", ["obtiznost"] = 0.144, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 90, ["jmenovatel"] = 1 }, ["render"] = "\\frac{90}{1}", ["typ"] = "cislo" }, ["tex"] = "90", ["x"] = 90 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 - 10", ["typ"] = "minus" }, ["render"] = "\\frac{6}{8 - 10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6}{8 - 10})^2", ["typ"] = "mocnina" }, ["render"] = "10 \\cdot (\\frac{6}{8 - 10})^2", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.15, bodu=15, $$\frac{6 + 6 \cdot 11}{9}=\textcolor{white}{8}$$return { ["body"] = 15, ["id"] = "jzXepF_0422_0419", ["obtiznost"] = 0.15, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{72}{9}", ["typ"] = "cislo" }, ["tex"] = "8", ["tex_float"] = "8", ["x"] = 8 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 11", ["typ"] = "krat" }, ["render"] = "6 + 6 \\cdot 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6 + 6 \\cdot 11}{9}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.16, bodu=37, $$\frac{6}{(13 + 8 - 12)^3}=\textcolor{white}{\frac{2}{243}}$$return { ["body"] = 37, ["id"] = "tRA6sU_0422_0419", ["obtiznost"] = 0.452, ["reseni"] = { ["float"] = 0.0082304526748971, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 243 }, ["render"] = "\\frac{6}{729}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2}{243}", ["y"] = 2, ["z"] = 243 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["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"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "13 + 8 - 12", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(13 + 8 - 12)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{6}{(13 + 8 - 12)^3}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.17, bodu=23, $$(5 \cdot 6)^2 \cdot (8 - 4)^3=\textcolor{white}{57600}$$return { ["body"] = 23, ["id"] = "6hx0fI_0422_0419", ["obtiznost"] = 0.5564, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 57600, ["jmenovatel"] = 1 }, ["render"] = "\\frac{57600}{1}", ["typ"] = "cislo" }, ["tex"] = "57600", ["tex_float"] = "57600", ["x"] = 57600 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.17", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 6", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(5 \\cdot 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 - 4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(8 - 4)^3", ["typ"] = "mocnina" }, ["render"] = "(5 \\cdot 6)^2 \\cdot (8 - 4)^3", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.18, bodu=31, $$4\frac{3}{5} \cdot 9 + 4 + 5=\textcolor{white}{50{,}4}$$return { ["body"] = 31, ["id"] = "4HE22W_0422_0419", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = 50.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 252, ["jmenovatel"] = 5 }, ["render"] = "\\frac{252}{5}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{2}{5}", ["tex_float"] = "50{,}4", ["x"] = 50, ["y"] = 2, ["z"] = 5 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{5} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{5} \\cdot 9 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{5} \\cdot 9 + 4 + 5", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.19, bodu=17, $$-6 \cdot \frac{8}{6}=\textcolor{white}{-8}$$return { ["body"] = 17, ["id"] = "ezVUYN_0422_0419", ["obtiznost"] = 0.19, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-24}{3}", ["typ"] = "cislo" }, ["tex"] = "-8", ["x"] = -8 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{6}", ["typ"] = "lomeno" }, ["render"] = "-6 \\cdot \\frac{8}{6}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.2, bodu=20, $$(9 - (-8))^2 - (-7 \cdot -3)^2=\textcolor{white}{-152}$$return { ["body"] = 20, ["id"] = "Aegodu_0422_0419", ["obtiznost"] = 0.4928, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -152, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-152}{1}", ["typ"] = "cislo" }, ["tex"] = "-152", ["tex_float"] = "-152", ["x"] = -152 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.2", ["zadani"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(9 - (-8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -3", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(-7 \\cdot -3)^2", ["typ"] = "mocnina" }, ["render"] = "(9 - (-8))^2 - (-7 \\cdot -3)^2", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.21, bodu=18, $$(\frac{4}{8})^2 \cdot -9 \cdot 7=\textcolor{white}{-15{,}75}$$return { ["body"] = 18, ["id"] = "t5Dt7I_0422_0419", ["obtiznost"] = 0.212, ["reseni"] = { ["float"] = -15.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -63, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-63}{4}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{3}{4}", ["tex_float"] = "-15{,}75", ["x"] = -15, ["y"] = 3, ["z"] = 4 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{4}{8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{8})^2 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{8})^2 \\cdot -9 \\cdot 7", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.22, bodu=21, $$\frac{-12}{(9 - 6)^4} \cdot (7 + 9)=\textcolor{white}{-2\frac{10}{27}}$$return { ["body"] = 21, ["id"] = "fM7fGJ_0422_0419", ["obtiznost"] = 0.2528, ["reseni"] = { ["float"] = -2.3703703703704, ["objekt"] = { ["hodnota"] = { ["citatel"] = -64, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-64}{27}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{10}{27}", ["x"] = -2, ["y"] = 10, ["z"] = 27 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 - 6", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(9 - 6)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{-12}{(9 - 6)^4}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 9", ["typ"] = "plus" }, ["render"] = "(7 + 9)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-12}{(9 - 6)^4} \\cdot (7 + 9)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.23, bodu=48, $$(\frac{-12}{8})^2 + (10 + 11 + 8)^2=\textcolor{white}{843{,}25}$$return { ["body"] = 48, ["id"] = "ALzDbv_0422_0419", ["obtiznost"] = 0.572, ["reseni"] = { ["float"] = 843.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3373, ["jmenovatel"] = 4 }, ["render"] = "\\frac{3373}{4}", ["typ"] = "cislo" }, ["tex"] = "843\\frac{1}{4}", ["tex_float"] = "843{,}25", ["x"] = 843, ["y"] = 1, ["z"] = 4 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.23", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-12}{8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["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"] = "plus" }, ["render"] = "10 + 11 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(10 + 11 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "(\\frac{-12}{8})^2 + (10 + 11 + 8)^2", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.24, bodu=36, $$4\frac{4}{7} \cdot (2 - (11 - 7))^2=\textcolor{white}{18\frac{2}{7}}$$return { ["body"] = 36, ["id"] = "D3wjyf_0422_0419", ["obtiznost"] = 0.442, ["reseni"] = { ["float"] = 18.285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 128, ["jmenovatel"] = 7 }, ["render"] = "\\frac{128}{7}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{2}{7}", ["x"] = 18, ["y"] = 2, ["z"] = 7 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "11 - 7", ["typ"] = "minus" }, ["render"] = "(11 - 7)", ["typ"] = "zavorka" }, ["render"] = "2 - (11 - 7)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(2 - (11 - 7))^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{7} \\cdot (2 - (11 - 7))^2", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.25, bodu=25, $$(\frac{5}{-11})^2 - (12 - 12)=\textcolor{white}{\frac{25}{121}}$$return { ["body"] = 25, ["id"] = "Zay08x_0422_0419", ["obtiznost"] = 0.3084, ["reseni"] = { ["float"] = 0.20661157024793, ["objekt"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 121 }, ["render"] = "\\frac{25}{121}", ["typ"] = "cislo" }, ["tex"] = "\\frac{25}{121}", ["y"] = 25, ["z"] = 121 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.25", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-11}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{5}{-11})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "12 - 12", ["typ"] = "minus" }, ["render"] = "(12 - 12)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{5}{-11})^2 - (12 - 12)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.26, bodu=10, $$10 - 7 \cdot -6 - (-12)=\textcolor{white}{64}$$return { ["body"] = 10, ["id"] = "aFJO4c_0422_0419", ["obtiznost"] = 0.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 1 }, ["render"] = "\\frac{64}{1}", ["typ"] = "cislo" }, ["tex"] = "64", ["tex_float"] = "64", ["x"] = 64 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -6", ["typ"] = "krat" }, ["render"] = "10 - 7 \\cdot -6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "10 - 7 \\cdot -6 - (-12)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.27, bodu=29, $$(\frac{9}{6})^4 - (6 - 11)^3=\textcolor{white}{130\frac{1}{16}}$$return { ["body"] = 29, ["id"] = "31V3Zc_0422_0419", ["obtiznost"] = 0.3592, ["reseni"] = { ["float"] = 130.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2081, ["jmenovatel"] = 16 }, ["render"] = "\\frac{2081}{16}", ["typ"] = "cislo" }, ["tex"] = "130\\frac{1}{16}", ["x"] = 130, ["y"] = 1, ["z"] = 16 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.27", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{9}{6})^4", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 - 11", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(6 - 11)^3", ["typ"] = "mocnina" }, ["render"] = "(\\frac{9}{6})^4 - (6 - 11)^3", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.28, bodu=23, $$\frac{14}{\frac{12}{-11 + 6}}=\textcolor{white}{-5\frac{5}{6}}$$return { ["body"] = 23, ["id"] = "b5Ccmm_0422_0419", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = -5.8333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 6 }, ["render"] = "\\frac{70}{-12}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{5}{6}", ["x"] = -5, ["y"] = 5, ["z"] = 6 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["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"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-11 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{12}{-11 + 6}", ["typ"] = "lomeno" }, ["render"] = "\\frac{14}{\\frac{12}{-11 + 6}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.29, bodu=40, $$\frac{3\frac{5}{8}}{-7 + 6 \cdot 7}=\textcolor{white}{\frac{29}{280}}$$return { ["body"] = 40, ["id"] = "2BTQXz_0422_0419", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 0.10357142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 280 }, ["render"] = "\\frac{29}{280}", ["typ"] = "cislo" }, ["tex"] = "\\frac{29}{280}", ["y"] = 29, ["z"] = 280 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 7", ["typ"] = "krat" }, ["render"] = "-7 + 6 \\cdot 7", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{5}{8}}{-7 + 6 \\cdot 7}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.3, bodu=24, $$(5 + 11) \cdot \frac{7 + (-10)}{13}=\textcolor{white}{-3\frac{9}{13}}$$return { ["body"] = 24, ["id"] = "Jl9BXA_0422_0419", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = -3.6923076923077, ["objekt"] = { ["hodnota"] = { ["citatel"] = -48, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-48}{13}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{9}{13}", ["x"] = -3, ["y"] = 9, ["z"] = 13 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.3", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 + 11", ["typ"] = "plus" }, ["render"] = "(5 + 11)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "7 + (-10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{7 + (-10)}{13}", ["typ"] = "lomeno" }, ["render"] = "(5 + 11) \\cdot \\frac{7 + (-10)}{13}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.31, bodu=12, $$-3 \cdot (9 + 2) - (11 - 9)=\textcolor{white}{-35}$$return { ["body"] = 12, ["id"] = "gwrdwe_0422_0419", ["obtiznost"] = 0.31, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-35}{1}", ["typ"] = "cislo" }, ["tex"] = "-35", ["x"] = -35 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "9 + 2", ["typ"] = "plus" }, ["render"] = "(9 + 2)", ["typ"] = "zavorka" }, ["render"] = "-3 \\cdot (9 + 2)", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "11 - 9", ["typ"] = "minus" }, ["render"] = "(11 - 9)", ["typ"] = "zavorka" }, ["render"] = "-3 \\cdot (9 + 2) - (11 - 9)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.32, bodu=13, $$-6 \cdot 13 \cdot (4 + (-8))=\textcolor{white}{312}$$return { ["body"] = 13, ["id"] = "ls92EN_0422_0419", ["obtiznost"] = 0.32, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 312, ["jmenovatel"] = 1 }, ["render"] = "\\frac{312}{1}", ["typ"] = "cislo" }, ["tex"] = "312", ["tex_float"] = "312", ["x"] = 312 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4 + (-8)", ["typ"] = "plus" }, ["render"] = "(4 + (-8))", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot 13 \\cdot (4 + (-8))", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.33, bodu=66, $$3\frac{5}{8} \cdot (4\frac{4}{10} + 14) \cdot -7=\textcolor{white}{-466{,}9}$$return { ["body"] = 66, ["id"] = "iVRYi2_0422_0419", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = -466.9, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4669, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-18676}{40}", ["typ"] = "cislo" }, ["tex"] = "-466\\frac{9}{10}", ["tex_float"] = "-466{,}9", ["x"] = -466, ["y"] = 9, ["z"] = 10 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} + 14", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{10} + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(4\\frac{4}{10} + 14) \\cdot -7", ["typ"] = "krat" }, ["render"] = "3\\frac{5}{8} \\cdot (4\\frac{4}{10} + 14) \\cdot -7", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.34, bodu=67, $$14 \cdot \frac{11}{4\frac{4}{5} - 2\frac{4}{10}}=\textcolor{white}{64\frac{1}{6}}$$return { ["body"] = 67, ["id"] = "qZQry4_0422_0419", ["obtiznost"] = 0.74, ["reseni"] = { ["float"] = 64.166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 385, ["jmenovatel"] = 6 }, ["render"] = "\\frac{770}{12}", ["typ"] = "cislo" }, ["tex"] = "64\\frac{1}{6}", ["x"] = 64, ["y"] = 1, ["z"] = 6 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{5} - 2\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{11}{4\\frac{4}{5} - 2\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "14 \\cdot \\frac{11}{4\\frac{4}{5} - 2\\frac{4}{10}}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.35, bodu=28, $$10 - 14 \cdot \frac{4}{10}=\textcolor{white}{4{,}4}$$return { ["body"] = 28, ["id"] = "uA4USc_0422_0419", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 4.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "\\frac{22}{5}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{2}{5}", ["tex_float"] = "4{,}4", ["x"] = 4, ["y"] = 2, ["z"] = 5 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{10}", ["typ"] = "lomeno" }, ["render"] = "14 \\cdot \\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "10 - 14 \\cdot \\frac{4}{10}", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.36, bodu=65, $$(\frac{14}{-15 \cdot -7} \cdot 13)^2=\textcolor{white}{3\frac{1}{225}}$$return { ["body"] = 65, ["id"] = "OyAmLW_0422_0419", ["obtiznost"] = 0.7204, ["reseni"] = { ["float"] = 3.0044444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 676, ["jmenovatel"] = 225 }, ["render"] = "\\frac{676}{225}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{225}", ["x"] = 3, ["y"] = 1, ["z"] = 225 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.36", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot -7", ["typ"] = "krat" }, ["render"] = "\\frac{14}{-15 \\cdot -7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-15 \\cdot -7} \\cdot 13", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{14}{-15 \\cdot -7} \\cdot 13)^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.37, bodu=19, $$((5 \cdot 3)^2 + 6) \cdot 12=\textcolor{white}{2772}$$return { ["body"] = 19, ["id"] = "VeRDSY_0422_0419", ["obtiznost"] = 0.4604, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2772, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2772}{1}", ["typ"] = "cislo" }, ["tex"] = "2772", ["tex_float"] = "2772", ["x"] = 2772 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.37", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 3", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(5 \\cdot 3)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(5 \\cdot 3)^2 + 6", ["typ"] = "plus" }, ["render"] = "((5 \\cdot 3)^2 + 6)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "((5 \\cdot 3)^2 + 6) \\cdot 12", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.38, bodu=20, $$14 \cdot (13 + (9 - 13)^4 - 8)=\textcolor{white}{3654}$$return { ["body"] = 20, ["id"] = "iYFUVK_0422_0419", ["obtiznost"] = 0.4828, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3654, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3654}{1}", ["typ"] = "cislo" }, ["tex"] = "3654", ["tex_float"] = "3654", ["x"] = 3654 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "9 - 13", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(9 - 13)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(9 - 13)^4 - 8", ["typ"] = "minus" }, ["render"] = "13 + (9 - 13)^4 - 8", ["typ"] = "plus" }, ["render"] = "(13 + (9 - 13)^4 - 8)", ["typ"] = "zavorka" }, ["render"] = "14 \\cdot (13 + (9 - 13)^4 - 8)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.39, bodu=31, $$\frac{7}{10} \cdot 8 \cdot 9=\textcolor{white}{50{,}4}$$return { ["body"] = 31, ["id"] = "cW99LD_0422_0419", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 50.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 252, ["jmenovatel"] = 5 }, ["render"] = "\\frac{252}{5}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{2}{5}", ["tex_float"] = "50{,}4", ["x"] = 50, ["y"] = 2, ["z"] = 5 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10} \\cdot 8 \\cdot 9", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.4, bodu=51, $$7 + (-10 + \frac{2\frac{3}{8}}{-10 \cdot -3})=\textcolor{white}{-2\frac{221}{240}}$$return { ["body"] = 51, ["id"] = "kIHp9J_0422_0419", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = -2.9208333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -701, ["jmenovatel"] = 240 }, ["render"] = "\\frac{-701}{240}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{221}{240}", ["x"] = -2, ["y"] = 221, ["z"] = 240 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.4", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["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"] = "\\frac{2\\frac{3}{8}}{-10 \\cdot -3}", ["typ"] = "lomeno" }, ["render"] = "-10 + \\frac{2\\frac{3}{8}}{-10 \\cdot -3}", ["typ"] = "plus" }, ["render"] = "7 + (-10 + \\frac{2\\frac{3}{8}}{-10 \\cdot -3})", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.41, bodu=33, $$\frac{7 \cdot (12 + 16)}{(-9 - (-10))^3}=\textcolor{white}{196}$$return { ["body"] = 33, ["id"] = "YfFSA5_0422_0419", ["obtiznost"] = 0.4108, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 196, ["jmenovatel"] = 1 }, ["render"] = "\\frac{196}{1}", ["typ"] = "cislo" }, ["tex"] = "196", ["x"] = 196 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "12 + 16", ["typ"] = "plus" }, ["render"] = "(12 + 16)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (12 + 16)", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-9 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-9 - (-10))^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{7 \\cdot (12 + 16)}{(-9 - (-10))^3}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.42, bodu=54, $$4\frac{4}{7} + (-16) + 13 - (-12) + 11 + (-17 + 13)^2=\textcolor{white}{40\frac{4}{7}}$$return { ["body"] = 54, ["id"] = "ULwgP8_0422_0419", ["obtiznost"] = 0.6268, ["reseni"] = { ["float"] = 40.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 284, ["jmenovatel"] = 7 }, ["render"] = "\\frac{284}{7}", ["typ"] = "cislo" }, ["tex"] = "40\\frac{4}{7}", ["x"] = 40, ["y"] = 4, ["z"] = 7 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} + (-16)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "13 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "13 - (-12) + 11", ["typ"] = "plus" }, ["render"] = "4\\frac{4}{7} + (-16) + 13 - (-12) + 11", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-17 + 13", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-17 + 13)^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{7} + (-16) + 13 - (-12) + 11 + (-17 + 13)^2", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.43, bodu=78, $$(-12 + \frac{3\frac{5}{12}}{9}) \cdot \frac{-11}{1\frac{5}{8}}=\textcolor{white}{78\frac{232}{351}}$$return { ["body"] = 78, ["id"] = "qXuIDt_0422_0419", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 78.660968660969, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27610, ["jmenovatel"] = 351 }, ["render"] = "\\frac{110440}{1404}", ["typ"] = "cislo" }, ["tex"] = "78\\frac{232}{351}", ["x"] = 78, ["y"] = 232, ["z"] = 351 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.43", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{12}}{9}", ["typ"] = "lomeno" }, ["render"] = "-12 + \\frac{3\\frac{5}{12}}{9}", ["typ"] = "plus" }, ["render"] = "(-12 + \\frac{3\\frac{5}{12}}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{1\\frac{5}{8}}", ["typ"] = "lomeno" }, ["render"] = "(-12 + \\frac{3\\frac{5}{12}}{9}) \\cdot \\frac{-11}{1\\frac{5}{8}}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.44, bodu=79, $$-4 \cdot 14 \cdot (3\frac{2}{6} + 3\frac{1}{7} - 13)=\textcolor{white}{365\frac{1}{3}}$$return { ["body"] = 79, ["id"] = "iF5eo8_0422_0419", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = 365.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1096, ["jmenovatel"] = 3 }, ["render"] = "\\frac{7672}{21}", ["typ"] = "cislo" }, ["tex"] = "365\\frac{1}{3}", ["x"] = 365, ["y"] = 1, ["z"] = 3 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{7} - 13", ["typ"] = "minus" }, ["render"] = "3\\frac{2}{6} + 3\\frac{1}{7} - 13", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{6} + 3\\frac{1}{7} - 13)", ["typ"] = "zavorka" }, ["render"] = "-4 \\cdot 14 \\cdot (3\\frac{2}{6} + 3\\frac{1}{7} - 13)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.45, bodu=57, $$(7 + 2\frac{5}{10} + (-7)) \cdot (-9 \cdot 13 + 15)=\textcolor{white}{-255}$$return { ["body"] = 57, ["id"] = "GCpC9G_0422_0419", ["obtiznost"] = 0.65, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -255, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-510}{2}", ["typ"] = "cislo" }, ["tex"] = "-255", ["tex_float"] = "-255", ["x"] = -255 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.45", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} + (-7)", ["typ"] = "plus" }, ["render"] = "7 + 2\\frac{5}{10} + (-7)", ["typ"] = "plus" }, ["render"] = "(7 + 2\\frac{5}{10} + (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 13 + 15", ["typ"] = "plus" }, ["render"] = "(-9 \\cdot 13 + 15)", ["typ"] = "zavorka" }, ["render"] = "(7 + 2\\frac{5}{10} + (-7)) \\cdot (-9 \\cdot 13 + 15)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.46, bodu=38, $$13 + 9 + \frac{\frac{-12}{-15}}{-10}=\textcolor{white}{21{,}92}$$return { ["body"] = 38, ["id"] = "HRjXjC_0422_0419", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = 21.92, ["objekt"] = { ["hodnota"] = { ["citatel"] = 548, ["jmenovatel"] = 25 }, ["render"] = "\\frac{548}{25}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{23}{25}", ["tex_float"] = "21{,}92", ["x"] = 21, ["y"] = 23, ["z"] = 25 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-12}{-15}}{-10}", ["typ"] = "lomeno" }, ["render"] = "13 + 9 + \\frac{\\frac{-12}{-15}}{-10}", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.47, bodu=102, $$(-6 + (\frac{4\frac{2}{3}}{12})^2) \cdot (4\frac{1}{5} - 7)=\textcolor{white}{16\frac{61}{162}}$$return { ["body"] = 102, ["id"] = "kZgyXX_0422_0419", ["obtiznost"] = 1.0192, ["reseni"] = { ["float"] = 16.376543209877, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2653, ["jmenovatel"] = 162 }, ["render"] = "\\frac{26530}{1620}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{61}{162}", ["x"] = 16, ["y"] = 61, ["z"] = 162 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.47", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{3}}{12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{4\\frac{2}{3}}{12})^2", ["typ"] = "mocnina" }, ["render"] = "-6 + (\\frac{4\\frac{2}{3}}{12})^2", ["typ"] = "plus" }, ["render"] = "(-6 + (\\frac{4\\frac{2}{3}}{12})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{5} - 7", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{5} - 7)", ["typ"] = "zavorka" }, ["render"] = "(-6 + (\\frac{4\\frac{2}{3}}{12})^2) \\cdot (4\\frac{1}{5} - 7)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.48, bodu=66, $$-8 + (-5) + 8 - 3\frac{4}{11} + (\frac{4}{10})^3=\textcolor{white}{-8\frac{412}{1375}}$$return { ["body"] = 66, ["id"] = "VE7G8S_0422_0419", ["obtiznost"] = 0.7332, ["reseni"] = { ["float"] = -8.2996363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11412, ["jmenovatel"] = 1375 }, ["render"] = "\\frac{-11412}{1375}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{412}{1375}", ["x"] = -8, ["y"] = 412, ["z"] = 1375 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-8 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "8 - 3\\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(\\frac{4}{10})^3", ["typ"] = "mocnina" }, ["render"] = "8 - 3\\frac{4}{11} + (\\frac{4}{10})^3", ["typ"] = "plus" }, ["render"] = "-8 + (-5) + 8 - 3\\frac{4}{11} + (\\frac{4}{10})^3", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.49, bodu=61, $$\frac{-4}{\frac{13}{-9} \cdot 5 + 4\frac{4}{7}}=\textcolor{white}{1\frac{85}{167}}$$return { ["body"] = 61, ["id"] = "HSA9gl_0422_0419", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = 1.5089820359281, ["objekt"] = { ["hodnota"] = { ["citatel"] = 252, ["jmenovatel"] = 167 }, ["render"] = "\\frac{-252}{-167}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{85}{167}", ["x"] = 1, ["y"] = 85, ["z"] = 167 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.49", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-9} \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-9} \\cdot 5 + 4\\frac{4}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{-4}{\\frac{13}{-9} \\cdot 5 + 4\\frac{4}{7}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.5, bodu=62, $$((11 - 11) \cdot (10 + 10) \cdot 1\frac{2}{8})^4=\textcolor{white}{0}$$return { ["body"] = 62, ["id"] = "PgfOtU_0422_0419", ["obtiznost"] = 0.7004, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.5", ["zadani"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "11 - 11", ["typ"] = "minus" }, ["render"] = "(11 - 11)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 + 10", ["typ"] = "plus" }, ["render"] = "(10 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "(10 + 10) \\cdot 1\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "(11 - 11) \\cdot (10 + 10) \\cdot 1\\frac{2}{8}", ["typ"] = "krat" }, ["mocnitel"] = 4, ["render"] = "((11 - 11) \\cdot (10 + 10) \\cdot 1\\frac{2}{8})^4", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.51, bodu=81, $$\frac{(\frac{14}{13})^2}{9} \cdot 1\frac{5}{10}=\textcolor{white}{\frac{98}{507}}$$return { ["body"] = 81, ["id"] = "MERdqC_0422_0419", ["obtiznost"] = 0.856, ["reseni"] = { ["float"] = 0.19329388560158, ["objekt"] = { ["hodnota"] = { ["citatel"] = 98, ["jmenovatel"] = 507 }, ["render"] = "\\frac{588}{3042}", ["typ"] = "cislo" }, ["tex"] = "\\frac{98}{507}", ["y"] = 98, ["z"] = 507 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{13}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{14}{13})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{14}{13})^2}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{14}{13})^2}{9} \\cdot 1\\frac{5}{10}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.52, bodu=89, $$\frac{\frac{-6}{1\frac{3}{4}}}{4\frac{1}{7}} \cdot (-9 - 9)=\textcolor{white}{14\frac{26}{29}}$$return { ["body"] = 89, ["id"] = "onH7dY_0422_0419", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 14.896551724138, ["objekt"] = { ["hodnota"] = { ["citatel"] = 432, ["jmenovatel"] = 29 }, ["render"] = "\\frac{432}{29}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{26}{29}", ["x"] = 14, ["y"] = 26, ["z"] = 29 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{1\\frac{3}{4}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-6}{1\\frac{3}{4}}}{4\\frac{1}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-9 - 9", ["typ"] = "minus" }, ["render"] = "(-9 - 9)", ["typ"] = "zavorka" }, ["render"] = "\\frac{\\frac{-6}{1\\frac{3}{4}}}{4\\frac{1}{7}} \\cdot (-9 - 9)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.53, bodu=90, $$3\frac{1}{7} \cdot \frac{-12}{3\frac{3}{8} + 7 + (-11)}=\textcolor{white}{60\frac{12}{35}}$$return { ["body"] = 90, ["id"] = "9zqMeQ_0422_0419", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = 60.342857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2112, ["jmenovatel"] = 35 }, ["render"] = "\\frac{2112}{35}", ["typ"] = "cislo" }, ["tex"] = "60\\frac{12}{35}", ["x"] = 60, ["y"] = 12, ["z"] = 35 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 7 + (-11)", ["typ"] = "plus" }, ["render"] = "\\frac{-12}{3\\frac{3}{8} + 7 + (-11)}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{7} \\cdot \\frac{-12}{3\\frac{3}{8} + 7 + (-11)}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.54, bodu=92, $$-11 \cdot (9 + 4\frac{1}{4} - 12) - (1\frac{4}{9} + (-8))=\textcolor{white}{-7\frac{7}{36}}$$return { ["body"] = 92, ["id"] = "5qryTO_0422_0419", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = -7.1944444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -259, ["jmenovatel"] = 36 }, ["render"] = "\\frac{-259}{36}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{7}{36}", ["x"] = -7, ["y"] = 7, ["z"] = 36 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "9 + 4\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 + 4\\frac{1}{4} - 12", ["typ"] = "minus" }, ["render"] = "(9 + 4\\frac{1}{4} - 12)", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (9 + 4\\frac{1}{4} - 12)", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} + (-8)", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{9} + (-8))", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (9 + 4\\frac{1}{4} - 12) - (1\\frac{4}{9} + (-8))", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.55, bodu=77, $$(-14 \cdot (5 - (9 - 2\frac{1}{7})) - 12)^2=\textcolor{white}{196}$$return { ["body"] = 77, ["id"] = "QK8yQk_0422_0419", ["obtiznost"] = 0.8288, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 196, ["jmenovatel"] = 1 }, ["render"] = "\\frac{196}{1}", ["typ"] = "cislo" }, ["tex"] = "196", ["tex_float"] = "196", ["x"] = 196 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.55", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "9 - 2\\frac{1}{7}", ["typ"] = "minus" }, ["render"] = "(9 - 2\\frac{1}{7})", ["typ"] = "zavorka" }, ["render"] = "5 - (9 - 2\\frac{1}{7})", ["typ"] = "minus" }, ["render"] = "(5 - (9 - 2\\frac{1}{7}))", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot (5 - (9 - 2\\frac{1}{7}))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot (5 - (9 - 2\\frac{1}{7})) - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-14 \\cdot (5 - (9 - 2\\frac{1}{7})) - 12)^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.56, bodu=94, $$\frac{10}{14 \cdot (4\frac{1}{5} + 17)} - 3\frac{5}{11}=\textcolor{white}{-3\frac{3435}{8162}}$$return { ["body"] = 94, ["id"] = "iewA2p_0422_0419", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = -3.4208527321735, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27921, ["jmenovatel"] = 8162 }, ["render"] = "\\frac{-27921}{8162}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{3435}{8162}", ["x"] = -3, ["y"] = 3435, ["z"] = 8162 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{5} + 17", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{5} + 17)", ["typ"] = "zavorka" }, ["render"] = "14 \\cdot (4\\frac{1}{5} + 17)", ["typ"] = "krat" }, ["render"] = "\\frac{10}{14 \\cdot (4\\frac{1}{5} + 17)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{14 \\cdot (4\\frac{1}{5} + 17)} - 3\\frac{5}{11}", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.57, bodu=24, $$-9 \cdot (10 + 8) \cdot -9 \cdot -6=\textcolor{white}{-8748}$$return { ["body"] = 24, ["id"] = "zFc2kl_0422_0419", ["obtiznost"] = 0.57, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -8748, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-8748}{1}", ["typ"] = "cislo" }, ["tex"] = "-8748", ["x"] = -8748 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(10 + 8)", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot (10 + 8)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot (10 + 8) \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot (10 + 8) \\cdot -9 \\cdot -6", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.58, bodu=75, $$\frac{(-16 + 10 + (-14) + 12)^2}{14 + 4\frac{3}{7}}=\textcolor{white}{3\frac{61}{129}}$$return { ["body"] = 75, ["id"] = "dWyB0t_0422_0419", ["obtiznost"] = 0.806, ["reseni"] = { ["float"] = 3.4728682170543, ["objekt"] = { ["hodnota"] = { ["citatel"] = 448, ["jmenovatel"] = 129 }, ["render"] = "\\frac{448}{129}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{61}{129}", ["x"] = 3, ["y"] = 61, ["z"] = 129 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.58", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-16 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-16 + 10 + (-14)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-16 + 10 + (-14) + 12", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-16 + 10 + (-14) + 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "14 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{(-16 + 10 + (-14) + 12)^2}{14 + 4\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.59, bodu=78, $$(\frac{-7}{10 - (\frac{-11}{8 - 2\frac{4}{8}})^4})^2=\textcolor{white}{1\frac{13}{36}}$$return { ["body"] = 78, ["id"] = "eMDKPj_0422_0419", ["obtiznost"] = 0.8308, ["reseni"] = { ["float"] = 1.3611111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 36 }, ["render"] = "\\frac{49}{36}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{13}{36}", ["x"] = 1, ["y"] = 13, ["z"] = 36 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.59", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "8 - 2\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{-11}{8 - 2\\frac{4}{8}}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-11}{8 - 2\\frac{4}{8}})^4", ["typ"] = "mocnina" }, ["render"] = "10 - (\\frac{-11}{8 - 2\\frac{4}{8}})^4", ["typ"] = "minus" }, ["render"] = "\\frac{-7}{10 - (\\frac{-11}{8 - 2\\frac{4}{8}})^4}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-7}{10 - (\\frac{-11}{8 - 2\\frac{4}{8}})^4})^2", ["typ"] = "mocnina" } }

seed: U5UqLNI5s5tfCc08UnNg_0.6, bodu=25, $$(20 \cdot 8 + (-14) - 8) \cdot -16 \cdot 8=\textcolor{white}{-17664}$$return { ["body"] = 25, ["id"] = "jJHQPP_0422_0419", ["obtiznost"] = 0.6, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -17664, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-17664}{1}", ["typ"] = "cislo" }, ["tex"] = "-17664", ["tex_float"] = "-17664", ["x"] = -17664 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.6", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 8 + (-14)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 8 + (-14) - 8", ["typ"] = "minus" }, ["render"] = "(20 \\cdot 8 + (-14) - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 8", ["typ"] = "krat" }, ["render"] = "(20 \\cdot 8 + (-14) - 8) \\cdot -16 \\cdot 8", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.61, bodu=101, $$\frac{-11 - 2\frac{3}{9} - 10}{5 \cdot 4\frac{4}{11}}=\textcolor{white}{-1\frac{5}{72}}$$return { ["body"] = 101, ["id"] = "OBMeRh_0422_0419", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -1.0694444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77, ["jmenovatel"] = 72 }, ["render"] = "\\frac{-770}{720}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{5}{72}", ["x"] = -1, ["y"] = 5, ["z"] = 72 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-11 - 2\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-11 - 2\\frac{3}{9} - 10", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 4\\frac{4}{11}", ["typ"] = "krat" }, ["render"] = "\\frac{-11 - 2\\frac{3}{9} - 10}{5 \\cdot 4\\frac{4}{11}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.62, bodu=109, $$\frac{-11}{15 + 17 + 2\frac{4}{12}} - (-16 - 9)^2=\textcolor{white}{-625\frac{33}{103}}$$return { ["body"] = 109, ["id"] = "OEAgSd_0422_0419", ["obtiznost"] = 1.0704, ["reseni"] = { ["float"] = -625.32038834951, ["objekt"] = { ["hodnota"] = { ["citatel"] = -64408, ["jmenovatel"] = 103 }, ["render"] = "\\frac{-64408}{103}", ["typ"] = "cislo" }, ["tex"] = "-625\\frac{33}{103}", ["x"] = -625, ["y"] = 33, ["z"] = 103 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "15 + 17", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "15 + 17 + 2\\frac{4}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{-11}{15 + 17 + 2\\frac{4}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-16 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-16 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-11}{15 + 17 + 2\\frac{4}{12}} - (-16 - 9)^2", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.63, bodu=132, $$\frac{3\frac{1}{7} \cdot 15}{2\frac{3}{9} - (-11) + (-3) + 4\frac{3}{7}}=\textcolor{white}{3\frac{6}{31}}$$return { ["body"] = 132, ["id"] = "lppxSE_0422_0419", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 3.1935483870968, ["objekt"] = { ["hodnota"] = { ["citatel"] = 99, ["jmenovatel"] = 31 }, ["render"] = "\\frac{6930}{2170}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{6}{31}", ["x"] = 3, ["y"] = 6, ["z"] = 31 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{7} \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - (-11)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - (-11) + (-3)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - (-11) + (-3) + 4\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{1}{7} \\cdot 15}{2\\frac{3}{9} - (-11) + (-3) + 4\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.64, bodu=79, $$\frac{-15}{\frac{17}{5 \cdot -10 + 2\frac{3}{6}}}=\textcolor{white}{41\frac{31}{34}}$$return { ["body"] = 79, ["id"] = "zszRio_0422_0419", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = 41.911764705882, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1425, ["jmenovatel"] = 34 }, ["render"] = "\\frac{-1425}{-34}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{31}{34}", ["x"] = 41, ["y"] = 31, ["z"] = 34 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -10 + 2\\frac{3}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{17}{5 \\cdot -10 + 2\\frac{3}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-15}{\\frac{17}{5 \\cdot -10 + 2\\frac{3}{6}}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.65, bodu=106, $$\frac{15 - 1\frac{2}{3} \cdot -7}{1\frac{1}{5} - (-14)}=\textcolor{white}{1\frac{43}{57}}$$return { ["body"] = 106, ["id"] = "DIYVMi_0422_0419", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = 1.7543859649123, ["objekt"] = { ["hodnota"] = { ["citatel"] = 100, ["jmenovatel"] = 57 }, ["render"] = "\\frac{400}{228}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{43}{57}", ["x"] = 1, ["y"] = 43, ["z"] = 57 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{3} \\cdot -7", ["typ"] = "krat" }, ["render"] = "15 - 1\\frac{2}{3} \\cdot -7", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} - (-14)", ["typ"] = "minus" }, ["render"] = "\\frac{15 - 1\\frac{2}{3} \\cdot -7}{1\\frac{1}{5} - (-14)}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.66, bodu=108, $$-10 \cdot 4\frac{4}{7} - (9 + 4\frac{4}{10}) + \frac{-13}{10}=\textcolor{white}{-60\frac{29}{70}}$$return { ["body"] = 108, ["id"] = "SN9GwA_0422_0419", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = -60.414285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4229, ["jmenovatel"] = 70 }, ["render"] = "\\frac{-21145}{350}", ["typ"] = "cislo" }, ["tex"] = "-60\\frac{29}{70}", ["x"] = -60, ["y"] = 29, ["z"] = 70 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.66", ["zadani"] = { ["c1"] = { ["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 \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "9 + 4\\frac{4}{10}", ["typ"] = "plus" }, ["render"] = "(9 + 4\\frac{4}{10})", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot 4\\frac{4}{7} - (9 + 4\\frac{4}{10})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{10}", ["typ"] = "lomeno" }, ["render"] = "-10 \\cdot 4\\frac{4}{7} - (9 + 4\\frac{4}{10}) + \\frac{-13}{10}", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.67, bodu=144, $$((2\frac{4}{8} - (14 + (-16)))^2 - (-4)) \cdot 1\frac{2}{8} \cdot 3\frac{2}{8}=\textcolor{white}{98\frac{33}{64}}$$return { ["body"] = 144, ["id"] = "u4NvkG_0422_0419", ["obtiznost"] = 1.304, ["reseni"] = { ["float"] = 98.515625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6305, ["jmenovatel"] = 64 }, ["render"] = "\\frac{6305}{64}", ["typ"] = "cislo" }, ["tex"] = "98\\frac{33}{64}", ["x"] = 98, ["y"] = 33, ["z"] = 64 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.67", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "14 + (-16)", ["typ"] = "plus" }, ["render"] = "(14 + (-16))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{4}{8} - (14 + (-16))", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{4}{8} - (14 + (-16)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "(2\\frac{4}{8} - (14 + (-16)))^2 - (-4)", ["typ"] = "minus" }, ["render"] = "((2\\frac{4}{8} - (14 + (-16)))^2 - (-4))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} \\cdot 3\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "((2\\frac{4}{8} - (14 + (-16)))^2 - (-4)) \\cdot 1\\frac{2}{8} \\cdot 3\\frac{2}{8}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.68, bodu=172, $$\frac{1\frac{5}{7}}{-10} - (-7 + 3\frac{4}{11} - 4\frac{4}{7} \cdot 2\frac{3}{10})=\textcolor{white}{13\frac{377}{385}}$$return { ["body"] = 172, ["id"] = "CYXXeQ_0422_0419", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = 13.979220779221, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5382, ["jmenovatel"] = 385 }, ["render"] = "\\frac{188370}{13475}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{377}{385}", ["x"] = 13, ["y"] = 377, ["z"] = 385 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{7}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "-7 + 3\\frac{4}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} \\cdot 2\\frac{3}{10}", ["typ"] = "krat" }, ["render"] = "-7 + 3\\frac{4}{11} - 4\\frac{4}{7} \\cdot 2\\frac{3}{10}", ["typ"] = "minus" }, ["render"] = "(-7 + 3\\frac{4}{11} - 4\\frac{4}{7} \\cdot 2\\frac{3}{10})", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{5}{7}}{-10} - (-7 + 3\\frac{4}{11} - 4\\frac{4}{7} \\cdot 2\\frac{3}{10})", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.69, bodu=141, $$-9 - 4\frac{5}{11} + 14 + 4\frac{1}{9} + 3\frac{4}{6} + (-10 - 9)=\textcolor{white}{-10\frac{67}{99}}$$return { ["body"] = 141, ["id"] = "qKjAQC_0422_0419", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = -10.676767676768, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1057, ["jmenovatel"] = 99 }, ["render"] = "\\frac{-1057}{99}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{67}{99}", ["x"] = -10, ["y"] = 67, ["z"] = 99 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{9} + 3\\frac{4}{6}", ["typ"] = "plus" }, ["render"] = "14 + 4\\frac{1}{9} + 3\\frac{4}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-10 - 9", ["typ"] = "minus" }, ["render"] = "14 + 4\\frac{1}{9} + 3\\frac{4}{6} + (-10 - 9)", ["typ"] = "plus" }, ["render"] = "-9 - 4\\frac{5}{11} + 14 + 4\\frac{1}{9} + 3\\frac{4}{6} + (-10 - 9)", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.7, bodu=157, $$(-12 + (6 + 3)^3) \cdot 2\frac{4}{10} \cdot 1\frac{4}{9} \cdot 15=\textcolor{white}{37284}$$return { ["body"] = 157, ["id"] = "eooExT_0422_0419", ["obtiznost"] = 1.392, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 37284, ["jmenovatel"] = 1 }, ["render"] = "\\frac{559260}{15}", ["typ"] = "cislo" }, ["tex"] = "37284", ["tex_float"] = "37284", ["x"] = 37284 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "6 + 3", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(6 + 3)^3", ["typ"] = "mocnina" }, ["render"] = "-12 + (6 + 3)^3", ["typ"] = "plus" }, ["render"] = "(-12 + (6 + 3)^3)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "(-12 + (6 + 3)^3) \\cdot 2\\frac{4}{10}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} \\cdot 15", ["typ"] = "krat" }, ["render"] = "(-12 + (6 + 3)^3) \\cdot 2\\frac{4}{10} \\cdot 1\\frac{4}{9} \\cdot 15", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.71, bodu=115, $$11 \cdot 2\frac{5}{7} \cdot -13 \cdot 12 \cdot 1\frac{1}{6}=\textcolor{white}{-5434}$$return { ["body"] = 115, ["id"] = "b6xkJP_0422_0419", ["obtiznost"] = 1.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -5434, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-38038}{7}", ["typ"] = "cislo" }, ["tex"] = "-5434", ["tex_float"] = "-5434", ["x"] = -5434 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 2\\frac{5}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 2\\frac{5}{7} \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 1\\frac{1}{6}", ["typ"] = "krat" }, ["render"] = "11 \\cdot 2\\frac{5}{7} \\cdot -13 \\cdot 12 \\cdot 1\\frac{1}{6}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.72, bodu=89, $$4\frac{5}{11} \cdot (-8 - \frac{15}{17} \cdot -14)=\textcolor{white}{19\frac{73}{187}}$$return { ["body"] = 89, ["id"] = "448ieo_0422_0419", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 19.390374331551, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3626, ["jmenovatel"] = 187 }, ["render"] = "\\frac{3626}{187}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{73}{187}", ["x"] = 19, ["y"] = 73, ["z"] = 187 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{17}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{17} \\cdot -14", ["typ"] = "krat" }, ["render"] = "-8 - \\frac{15}{17} \\cdot -14", ["typ"] = "minus" }, ["render"] = "(-8 - \\frac{15}{17} \\cdot -14)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{11} \\cdot (-8 - \\frac{15}{17} \\cdot -14)", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.73, bodu=148, $$7 \cdot \frac{3\frac{5}{7} - (-13)}{\frac{2\frac{4}{11}}{4\frac{2}{8}}}=\textcolor{white}{210{,}375}$$return { ["body"] = 148, ["id"] = "9mifJV_0422_0419", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = 210.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1683, ["jmenovatel"] = 8 }, ["render"] = "\\frac{11781}{56}", ["typ"] = "cislo" }, ["tex"] = "210\\frac{3}{8}", ["tex_float"] = "210{,}375", ["x"] = 210, ["y"] = 3, ["z"] = 8 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{7} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{11}}{4\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{5}{7} - (-13)}{\\frac{2\\frac{4}{11}}{4\\frac{2}{8}}}", ["typ"] = "lomeno" }, ["render"] = "7 \\cdot \\frac{3\\frac{5}{7} - (-13)}{\\frac{2\\frac{4}{11}}{4\\frac{2}{8}}}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.74, bodu=119, $$\frac{-19 \cdot 13}{12 + 1\frac{4}{9} - 4\frac{3}{12}} + (-15)=\textcolor{white}{-41\frac{286}{331}}$$return { ["body"] = 119, ["id"] = "0ebuvs_0422_0419", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -41.864048338369, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13857, ["jmenovatel"] = 331 }, ["render"] = "\\frac{-13857}{331}", ["typ"] = "cislo" }, ["tex"] = "-41\\frac{286}{331}", ["x"] = -41, ["y"] = 286, ["z"] = 331 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} - 4\\frac{3}{12}", ["typ"] = "minus" }, ["render"] = "12 + 1\\frac{4}{9} - 4\\frac{3}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{-19 \\cdot 13}{12 + 1\\frac{4}{9} - 4\\frac{3}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-19 \\cdot 13}{12 + 1\\frac{4}{9} - 4\\frac{3}{12}} + (-15)", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.75, bodu=101, $$-20 + (-12) - (1\frac{5}{10} + (-12 + (-12)) + (\frac{-6}{-10})^3)=\textcolor{white}{-9{,}716}$$return { ["body"] = 101, ["id"] = "eIPabu_0422_0419", ["obtiznost"] = 1.0108, ["reseni"] = { ["float"] = -9.716, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2429, ["jmenovatel"] = 250 }, ["render"] = "\\frac{-2429}{250}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{179}{250}", ["tex_float"] = "-9{,}716", ["x"] = -9, ["y"] = 179, ["z"] = 250 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-20 + (-12)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-12 + (-12)", ["typ"] = "plus" }, ["render"] = "1\\frac{5}{10} + (-12 + (-12))", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-6}{-10})^3", ["typ"] = "mocnina" }, ["render"] = "1\\frac{5}{10} + (-12 + (-12)) + (\\frac{-6}{-10})^3", ["typ"] = "plus" }, ["render"] = "(1\\frac{5}{10} + (-12 + (-12)) + (\\frac{-6}{-10})^3)", ["typ"] = "zavorka" }, ["render"] = "-20 + (-12) - (1\\frac{5}{10} + (-12 + (-12)) + (\\frac{-6}{-10})^3)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.76, bodu=69, $$4 \cdot \frac{14}{-15} \cdot -14 - 22=\textcolor{white}{30\frac{4}{15}}$$return { ["body"] = 69, ["id"] = "lRAnjV_0422_0419", ["obtiznost"] = 0.76, ["reseni"] = { ["float"] = 30.266666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 454, ["jmenovatel"] = 15 }, ["render"] = "\\frac{454}{15}", ["typ"] = "cislo" }, ["tex"] = "30\\frac{4}{15}", ["x"] = 30, ["y"] = 4, ["z"] = 15 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-15} \\cdot -14", ["typ"] = "krat" }, ["render"] = "4 \\cdot \\frac{14}{-15} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "4 \\cdot \\frac{14}{-15} \\cdot -14 - 22", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.77, bodu=95, $$\frac{\frac{-14}{14} + 12}{14 \cdot 1\frac{3}{9}}=\textcolor{white}{\frac{33}{56}}$$return { ["body"] = 95, ["id"] = "7r1mH4_0422_0419", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 0.58928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 56 }, ["render"] = "\\frac{33}{56}", ["typ"] = "cislo" }, ["tex"] = "\\frac{33}{56}", ["y"] = 33, ["z"] = 56 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{14} + 12", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 1\\frac{3}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{-14}{14} + 12}{14 \\cdot 1\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.78, bodu=188, $$\frac{\frac{-9}{15}}{\frac{2\frac{3}{9} - 4\frac{5}{11}}{2\frac{3}{11}} + 1\frac{1}{7}}=\textcolor{white}{-2\frac{19}{22}}$$return { ["body"] = 188, ["id"] = "W9cAdj_0422_0419", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = -2.8636363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = -63, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-315}{110}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{19}{22}", ["x"] = -2, ["y"] = 19, ["z"] = 22 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - 4\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{9} - 4\\frac{5}{11}}{2\\frac{3}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{9} - 4\\frac{5}{11}}{2\\frac{3}{11}} + 1\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-9}{15}}{\\frac{2\\frac{3}{9} - 4\\frac{5}{11}}{2\\frac{3}{11}} + 1\\frac{1}{7}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.79, bodu=251, $$(\frac{2\frac{4}{8}}{4\frac{1}{2}})^3 + 2\frac{2}{9} - 3\frac{1}{5} - (-18 \cdot -8)=\textcolor{white}{-144\frac{2939}{3645}}$$return { ["body"] = 251, ["id"] = "m7Ptmq_0422_0419", ["obtiznost"] = 1.9316, ["reseni"] = { ["float"] = -144.80631001372, ["objekt"] = { ["hodnota"] = { ["citatel"] = -527819, ["jmenovatel"] = 3645 }, ["render"] = "\\frac{-527819}{3645}", ["typ"] = "cislo" }, ["tex"] = "-144\\frac{2939}{3645}", ["x"] = -144, ["y"] = 2939, ["z"] = 3645 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{8}}{4\\frac{1}{2}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{2\\frac{4}{8}}{4\\frac{1}{2}})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{9} - 3\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(\\frac{2\\frac{4}{8}}{4\\frac{1}{2}})^3 + 2\\frac{2}{9} - 3\\frac{1}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-18 \\cdot -8", ["typ"] = "krat" }, ["render"] = "(\\frac{2\\frac{4}{8}}{4\\frac{1}{2}})^3 + 2\\frac{2}{9} - 3\\frac{1}{5} - (-18 \\cdot -8)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.8, bodu=167, $$-19 \cdot (\frac{12}{3\frac{4}{8}})^2 \cdot (2\frac{3}{13} + 12) \cdot -9=\textcolor{white}{28605\frac{375}{637}}$$return { ["body"] = 167, ["id"] = "aq9QA4_0422_0419", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = 28605.588697017, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18221760, ["jmenovatel"] = 637 }, ["render"] = "\\frac{18221760}{637}", ["typ"] = "cislo" }, ["tex"] = "28605\\frac{375}{637}", ["x"] = 28605, ["y"] = 375, ["z"] = 637 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.8", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{3\\frac{4}{8}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{12}{3\\frac{4}{8}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{13} + 12", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{13} + 12)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{12}{3\\frac{4}{8}})^2 \\cdot (2\\frac{3}{13} + 12)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(\\frac{12}{3\\frac{4}{8}})^2 \\cdot (2\\frac{3}{13} + 12) \\cdot -9", ["typ"] = "krat" }, ["render"] = "-19 \\cdot (\\frac{12}{3\\frac{4}{8}})^2 \\cdot (2\\frac{3}{13} + 12) \\cdot -9", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.81, bodu=157, $$\frac{4\frac{2}{8}}{13 - (12 - 16) - (\frac{3\frac{2}{4}}{-10})^2}=\textcolor{white}{\frac{1700}{6751}}$$return { ["body"] = 157, ["id"] = "fCiMsZ_0422_0419", ["obtiznost"] = 1.3896, ["reseni"] = { ["float"] = 0.25181454599319, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1700, ["jmenovatel"] = 6751 }, ["render"] = "\\frac{6800}{27004}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1700}{6751}", ["y"] = 1700, ["z"] = 6751 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.81", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "12 - 16", ["typ"] = "minus" }, ["render"] = "(12 - 16)", ["typ"] = "zavorka" }, ["render"] = "13 - (12 - 16)", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{4}}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{2}{4}}{-10})^2", ["typ"] = "mocnina" }, ["render"] = "13 - (12 - 16) - (\\frac{3\\frac{2}{4}}{-10})^2", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{2}{8}}{13 - (12 - 16) - (\\frac{3\\frac{2}{4}}{-10})^2}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.82, bodu=131, $$3\frac{5}{11} \cdot \frac{1\frac{4}{12}}{14 \cdot -16 \cdot 14}=\textcolor{white}{-\frac{19}{12936}}$$return { ["body"] = 131, ["id"] = "e8mPYU_0422_0419", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -0.0014687693259122, ["objekt"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 12936 }, ["render"] = "\\frac{-38}{25872}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{19}{12936}", ["y"] = -19, ["z"] = 12936 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.82", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -16 \\cdot 14", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{4}{12}}{14 \\cdot -16 \\cdot 14}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{5}{11} \\cdot \\frac{1\\frac{4}{12}}{14 \\cdot -16 \\cdot 14}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.83, bodu=132, $$4\frac{4}{10} \cdot -14 \cdot \frac{19}{-16} \cdot (11 + 3\frac{2}{7})=\textcolor{white}{1045}$$return { ["body"] = 132, ["id"] = "toIYYn_0422_0419", ["obtiznost"] = 1.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1045, ["jmenovatel"] = 1 }, ["render"] = "\\frac{146300}{140}", ["typ"] = "cislo" }, ["tex"] = "1045", ["x"] = 1045 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{-16}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{4}{10} \\cdot -14 \\cdot \\frac{19}{-16}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "11 + 3\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(11 + 3\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{10} \\cdot -14 \\cdot \\frac{19}{-16} \\cdot (11 + 3\\frac{2}{7})", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.84, bodu=234, $$3\frac{5}{12} - (2\frac{4}{6} \cdot 15 - \frac{3\frac{5}{12}}{4\frac{5}{11} \cdot 4\frac{4}{12}})=\textcolor{white}{-36\frac{1553}{3822}}$$return { ["body"] = 234, ["id"] = "5ozfw5_0422_0419", ["obtiznost"] = 1.84, ["reseni"] = { ["float"] = -36.406331763475, ["objekt"] = { ["hodnota"] = { ["citatel"] = -139145, ["jmenovatel"] = 3822 }, ["render"] = "\\frac{-1113160}{30576}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{1553}{3822}", ["x"] = -36, ["y"] = 1553, ["z"] = 3822 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.84", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} \\cdot 4\\frac{4}{12}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{5}{12}}{4\\frac{5}{11} \\cdot 4\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{4}{6} \\cdot 15 - \\frac{3\\frac{5}{12}}{4\\frac{5}{11} \\cdot 4\\frac{4}{12}}", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{6} \\cdot 15 - \\frac{3\\frac{5}{12}}{4\\frac{5}{11} \\cdot 4\\frac{4}{12}})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{5}{12} - (2\\frac{4}{6} \\cdot 15 - \\frac{3\\frac{5}{12}}{4\\frac{5}{11} \\cdot 4\\frac{4}{12}})", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.85, bodu=135, $$\frac{17}{\frac{9}{3\frac{5}{11}} - 1\frac{2}{6}} + (-10 \cdot -9)=\textcolor{white}{103\frac{53}{145}}$$return { ["body"] = 135, ["id"] = "oNrZXJ_0422_0419", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 103.36551724138, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14988, ["jmenovatel"] = 145 }, ["render"] = "\\frac{14988}{145}", ["typ"] = "cislo" }, ["tex"] = "103\\frac{53}{145}", ["x"] = 103, ["y"] = 53, ["z"] = 145 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3\\frac{5}{11}} - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{17}{\\frac{9}{3\\frac{5}{11}} - 1\\frac{2}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot -9", ["typ"] = "krat" }, ["render"] = "\\frac{17}{\\frac{9}{3\\frac{5}{11}} - 1\\frac{2}{6}} + (-10 \\cdot -9)", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.86, bodu=143, $$\frac{-10 \cdot -17 + (8 - 18)^2 - (-11)}{1\frac{4}{10} + 1\frac{1}{9}}=\textcolor{white}{111\frac{102}{113}}$$return { ["body"] = 143, ["id"] = "Cpoku2_0422_0419", ["obtiznost"] = 1.3004, ["reseni"] = { ["float"] = 111.90265486726, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12645, ["jmenovatel"] = 113 }, ["render"] = "\\frac{12645}{113}", ["typ"] = "cislo" }, ["tex"] = "111\\frac{102}{113}", ["x"] = 111, ["y"] = 102, ["z"] = 113 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "8 - 18", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - 18)^2", ["typ"] = "mocnina" }, ["render"] = "-10 \\cdot -17 + (8 - 18)^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot -17 + (8 - 18)^2 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} + 1\\frac{1}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{-10 \\cdot -17 + (8 - 18)^2 - (-11)}{1\\frac{4}{10} + 1\\frac{1}{9}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.87, bodu=170, $$-11 - (15 - 4\frac{1}{5}) - \frac{-21 - 1\frac{2}{9}}{3\frac{1}{9}}=\textcolor{white}{-14\frac{23}{35}}$$return { ["body"] = 170, ["id"] = "XhL0NC_0422_0419", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = -14.657142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -513, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-513}{35}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{23}{35}", ["x"] = -14, ["y"] = 23, ["z"] = 35 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "15 - 4\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(15 - 4\\frac{1}{5})", ["typ"] = "zavorka" }, ["render"] = "-11 - (15 - 4\\frac{1}{5})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "-21 - 1\\frac{2}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-21 - 1\\frac{2}{9}}{3\\frac{1}{9}}", ["typ"] = "lomeno" }, ["render"] = "-11 - (15 - 4\\frac{1}{5}) - \\frac{-21 - 1\\frac{2}{9}}{3\\frac{1}{9}}", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.88, bodu=192, $$\frac{(-13 - (-8))^3 + 22}{\frac{-18 + 15 + 1\frac{5}{13}}{(1\frac{1}{3} + (-10))^2}}=\textcolor{white}{4789\frac{43}{189}}$$return { ["body"] = 192, ["id"] = "CZYaxZ_0422_0419", ["obtiznost"] = 1.6044, ["reseni"] = { ["float"] = 4789.2275132275, ["objekt"] = { ["hodnota"] = { ["citatel"] = 905164, ["jmenovatel"] = 189 }, ["render"] = "\\frac{-905164}{-189}", ["typ"] = "cislo" }, ["tex"] = "4789\\frac{43}{189}", ["x"] = 4789, ["y"] = 43, ["z"] = 189 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(-13 - (-8))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "(-13 - (-8))^3 + 22", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "15 + 1\\frac{5}{13}", ["typ"] = "plus" }, ["render"] = "-18 + 15 + 1\\frac{5}{13}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{1}{3} + (-10))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-18 + 15 + 1\\frac{5}{13}}{(1\\frac{1}{3} + (-10))^2}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(-13 - (-8))^3 + 22}{\\frac{-18 + 15 + 1\\frac{5}{13}}{(1\\frac{1}{3} + (-10))^2}}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.89, bodu=207, $$3\frac{1}{6} \cdot 1\frac{2}{3} \cdot 11 \cdot (1\frac{2}{8} + 17) \cdot 3\frac{4}{10}=\textcolor{white}{3602\frac{25}{72}}$$return { ["body"] = 207, ["id"] = "QPJ5o5_0422_0419", ["obtiznost"] = 1.69, ["reseni"] = { ["float"] = 3602.3472222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 259369, ["jmenovatel"] = 72 }, ["render"] = "\\frac{1296845}{360}", ["typ"] = "cislo" }, ["tex"] = "3602\\frac{25}{72}", ["x"] = 3602, ["y"] = 25, ["z"] = 72 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot 1\\frac{2}{3}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} + 17", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{8} + 17)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (1\\frac{2}{8} + 17)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot (1\\frac{2}{8} + 17) \\cdot 3\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{6} \\cdot 1\\frac{2}{3} \\cdot 11 \\cdot (1\\frac{2}{8} + 17) \\cdot 3\\frac{4}{10}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.9, bodu=198, $$\frac{4\frac{1}{4}}{\frac{4\frac{5}{13}}{-14} - (-12 + 19)^3} \cdot 2\frac{3}{10}=\textcolor{white}{-\frac{35581}{1249660}}$$return { ["body"] = 198, ["id"] = "acwPt0_0422_0419", ["obtiznost"] = 1.6376, ["reseni"] = { ["float"] = -0.028472544532113, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35581, ["jmenovatel"] = 1249660 }, ["render"] = "\\frac{-35581}{1249660}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{35581}{1249660}", ["y"] = -35581, ["z"] = 1249660 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{13}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(-12 + 19)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{5}{13}}{-14} - (-12 + 19)^3", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{1}{4}}{\\frac{4\\frac{5}{13}}{-14} - (-12 + 19)^3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{4}}{\\frac{4\\frac{5}{13}}{-14} - (-12 + 19)^3} \\cdot 2\\frac{3}{10}", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.91, bodu=176, $$20 \cdot (-17 - 4\frac{5}{14} + 3\frac{1}{7} + (-9 \cdot 1\frac{4}{9} \cdot -20))=\textcolor{white}{4835\frac{5}{7}}$$return { ["body"] = 176, ["id"] = "I4oRJz_0422_0419", ["obtiznost"] = 1.51, ["reseni"] = { ["float"] = 4835.7142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 33850, ["jmenovatel"] = 7 }, ["render"] = "\\frac{67700}{14}", ["typ"] = "cislo" }, ["tex"] = "4835\\frac{5}{7}", ["x"] = 4835, ["y"] = 5, ["z"] = 7 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.91", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "-17 - 4\\frac{5}{14}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-17 - 4\\frac{5}{14} + 3\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 1\\frac{4}{9} \\cdot -20", ["typ"] = "krat" }, ["render"] = "-17 - 4\\frac{5}{14} + 3\\frac{1}{7} + (-9 \\cdot 1\\frac{4}{9} \\cdot -20)", ["typ"] = "plus" }, ["render"] = "(-17 - 4\\frac{5}{14} + 3\\frac{1}{7} + (-9 \\cdot 1\\frac{4}{9} \\cdot -20))", ["typ"] = "zavorka" }, ["render"] = "20 \\cdot (-17 - 4\\frac{5}{14} + 3\\frac{1}{7} + (-9 \\cdot 1\\frac{4}{9} \\cdot -20))", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.92, bodu=178, $$3\frac{2}{8} \cdot -11 - (1\frac{5}{8} - 2\frac{3}{10} - (-15)) - 9=\textcolor{white}{-59{,}075}$$return { ["body"] = 178, ["id"] = "kkTKAX_0422_0419", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = -59.075, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2363, ["jmenovatel"] = 40 }, ["render"] = "\\frac{-2363}{40}", ["typ"] = "cislo" }, ["tex"] = "-59\\frac{3}{40}", ["tex_float"] = "-59{,}075", ["x"] = -59, ["y"] = 3, ["z"] = 40 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 2\\frac{3}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 2\\frac{3}{10} - (-15)", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{8} - 2\\frac{3}{10} - (-15))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{8} \\cdot -11 - (1\\frac{5}{8} - 2\\frac{3}{10} - (-15))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} \\cdot -11 - (1\\frac{5}{8} - 2\\frac{3}{10} - (-15)) - 9", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.93, bodu=180, $$\frac{4 + 12}{\frac{2\frac{1}{2}}{4\frac{5}{6}}} \cdot (-6 + (-12 + 3\frac{3}{7}))=\textcolor{white}{-450\frac{26}{35}}$$return { ["body"] = 180, ["id"] = "1Ld7nM_0422_0419", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = -450.74285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15776, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-47328}{105}", ["typ"] = "cislo" }, ["tex"] = "-450\\frac{26}{35}", ["x"] = -450, ["y"] = 26, ["z"] = 35 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4 + 12", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{2}}{4\\frac{5}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4 + 12}{\\frac{2\\frac{1}{2}}{4\\frac{5}{6}}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-12 + 3\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "-6 + (-12 + 3\\frac{3}{7})", ["typ"] = "plus" }, ["render"] = "(-6 + (-12 + 3\\frac{3}{7}))", ["typ"] = "zavorka" }, ["render"] = "\\frac{4 + 12}{\\frac{2\\frac{1}{2}}{4\\frac{5}{6}}} \\cdot (-6 + (-12 + 3\\frac{3}{7}))", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.94, bodu=216, $$\frac{10 - 3\frac{4}{10}}{-20} - (4\frac{1}{8} + 2\frac{3}{13}) \cdot 1\frac{5}{13}=\textcolor{white}{-9\frac{1101}{8450}}$$return { ["body"] = 216, ["id"] = "JL6VQC_0422_0419", ["obtiznost"] = 1.74, ["reseni"] = { ["float"] = -9.1302958579882, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77151, ["jmenovatel"] = 8450 }, ["render"] = "\\frac{-617208}{67600}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{1101}{8450}", ["x"] = -9, ["y"] = 1101, ["z"] = 8450 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "10 - 3\\frac{4}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "\\frac{10 - 3\\frac{4}{10}}{-20}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{8} + 2\\frac{3}{13}", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{8} + 2\\frac{3}{13})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{8} + 2\\frac{3}{13}) \\cdot 1\\frac{5}{13}", ["typ"] = "krat" }, ["render"] = "\\frac{10 - 3\\frac{4}{10}}{-20} - (4\\frac{1}{8} + 2\\frac{3}{13}) \\cdot 1\\frac{5}{13}", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.95, bodu=183, $$(2\frac{4}{9} - 14) \cdot (-12 - 4\frac{3}{9}) - 12 + 18 + 4\frac{4}{9}=\textcolor{white}{199\frac{5}{27}}$$return { ["body"] = 183, ["id"] = "P7R7Vt_0422_0419", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 199.18518518519, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5378, ["jmenovatel"] = 27 }, ["render"] = "\\frac{48402}{243}", ["typ"] = "cislo" }, ["tex"] = "199\\frac{5}{27}", ["x"] = 199, ["y"] = 5, ["z"] = 27 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} - 14", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{9} - 14)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-12 - 4\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "(-12 - 4\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "(2\\frac{4}{9} - 14) \\cdot (-12 - 4\\frac{3}{9})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(2\\frac{4}{9} - 14) \\cdot (-12 - 4\\frac{3}{9}) - 12", ["typ"] = "minus" }, ["c2"] = { ["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 + 4\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{9} - 14) \\cdot (-12 - 4\\frac{3}{9}) - 12 + 18 + 4\\frac{4}{9}", ["typ"] = "plus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.96, bodu=220, $$-13 \cdot (4\frac{2}{8} - (4\frac{1}{6} + 15 \cdot 4\frac{5}{11} + 16 + 1\frac{5}{11}))=\textcolor{white}{1094\frac{61}{132}}$$return { ["body"] = 220, ["id"] = "7q2uXw_0422_0419", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = 1094.4621212121, ["objekt"] = { ["hodnota"] = { ["citatel"] = 144469, ["jmenovatel"] = 132 }, ["render"] = "\\frac{144469}{132}", ["typ"] = "cislo" }, ["tex"] = "1094\\frac{61}{132}", ["x"] = 1094, ["y"] = 61, ["z"] = 132 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 4\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 4\\frac{5}{11} + 16", ["typ"] = "plus" }, ["render"] = "4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16 + 1\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16 + 1\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{2}{8} - (4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16 + 1\\frac{5}{11})", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{8} - (4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16 + 1\\frac{5}{11}))", ["typ"] = "zavorka" }, ["render"] = "-13 \\cdot (4\\frac{2}{8} - (4\\frac{1}{6} + 15 \\cdot 4\\frac{5}{11} + 16 + 1\\frac{5}{11}))", ["typ"] = "krat" } }

seed: U5UqLNI5s5tfCc08UnNg_0.97, bodu=187, $$\frac{\frac{2\frac{5}{11}}{9} \cdot 3\frac{1}{2} \cdot (1\frac{4}{11} - 3)}{23}=\textcolor{white}{-\frac{189}{2783}}$$return { ["body"] = 187, ["id"] = "nvCJDh_0422_0419", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -0.067912324829321, ["objekt"] = { ["hodnota"] = { ["citatel"] = -189, ["jmenovatel"] = 2783 }, ["render"] = "\\frac{-189}{2783}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{189}{2783}", ["y"] = -189, ["z"] = 2783 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{11}}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{11}}{9} \\cdot 3\\frac{1}{2}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - 3", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{11} - 3)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{5}{11}}{9} \\cdot 3\\frac{1}{2} \\cdot (1\\frac{4}{11} - 3)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{11}}{9} \\cdot 3\\frac{1}{2} \\cdot (1\\frac{4}{11} - 3)}{23}", ["typ"] = "lomeno" } }

seed: U5UqLNI5s5tfCc08UnNg_0.98, bodu=260, $$2\frac{2}{8} - (2\frac{3}{11} - (19 + \frac{1\frac{4}{11}}{4\frac{2}{11}} + 1\frac{5}{11}) - 5)=\textcolor{white}{25\frac{767}{1012}}$$return { ["body"] = 260, ["id"] = "S3GljE_0422_0419", ["obtiznost"] = 1.98, ["reseni"] = { ["float"] = 25.75790513834, ["objekt"] = { ["hodnota"] = { ["citatel"] = 26067, ["jmenovatel"] = 1012 }, ["render"] = "\\frac{52134}{2024}", ["typ"] = "cislo" }, ["tex"] = "25\\frac{767}{1012}", ["x"] = 25, ["y"] = 767, ["z"] = 1012 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.98", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{11}}{4\\frac{2}{11}}", ["typ"] = "lomeno" }, ["render"] = "19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{3}{11} - (19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} - (19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11}) - 5", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{11} - (19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11}) - 5)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{8} - (2\\frac{3}{11} - (19 + \\frac{1\\frac{4}{11}}{4\\frac{2}{11}} + 1\\frac{5}{11}) - 5)", ["typ"] = "minus" } }

seed: U5UqLNI5s5tfCc08UnNg_0.99, bodu=190, $$\frac{10}{-12 \cdot 2\frac{3}{5} + (-10)} + 1\frac{5}{10} + 10 - 2\frac{2}{11}=\textcolor{white}{9\frac{171}{2266}}$$return { ["body"] = 190, ["id"] = "faUmUj_0422_0419", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = 9.0754633715799, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20565, ["jmenovatel"] = 2266 }, ["render"] = "\\frac{20565}{2266}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{171}{2266}", ["x"] = 9, ["y"] = 171, ["z"] = 2266 }, ["seed"] = "U5UqLNI5s5tfCc08UnNg_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 2\\frac{3}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 2\\frac{3}{5} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{10}{-12 \\cdot 2\\frac{3}{5} + (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "10 - 2\\frac{2}{11}", ["typ"] = "minus" }, ["render"] = "1\\frac{5}{10} + 10 - 2\\frac{2}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{10}{-12 \\cdot 2\\frac{3}{5} + (-10)} + 1\\frac{5}{10} + 10 - 2\\frac{2}{11}", ["typ"] = "plus" } }

13-ecstatic-dog-gifs_a-cupcake.webp:

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