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Nahodny test, priklady s rostouci obtiznosti...

seed: e2shcBw6ptzYCybOmJew_0, bodu=10, $$\frac{9 \cdot 8}{(7 - 7)^2 + 3}=\textcolor{white}{24}$$return { ["body"] = 10, ["id"] = "uwJBPy_0601_2012", ["obtiznost"] = 0.0004, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 1 }, ["render"] = "\\frac{72}{3}", ["typ"] = "cislo" }, ["tex"] = "24", ["x"] = 24 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(7 - 7)^2 + 3", ["typ"] = "plus" }, ["render"] = "\\frac{9 \\cdot 8}{(7 - 7)^2 + 3}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.01, bodu=10, $$(4 - (5 - \frac{7}{6}))^2=\textcolor{white}{\frac{1}{36}}$$return { ["body"] = 10, ["id"] = "qdEIGZ_0601_2012", ["obtiznost"] = 0.0248, ["reseni"] = { ["float"] = 0.027777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 36 }, ["render"] = "\\frac{1}{36}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{36}", ["y"] = 1, ["z"] = 36 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.01", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{6}", ["typ"] = "lomeno" }, ["render"] = "5 - \\frac{7}{6}", ["typ"] = "minus" }, ["render"] = "(5 - \\frac{7}{6})", ["typ"] = "zavorka" }, ["render"] = "4 - (5 - \\frac{7}{6})", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4 - (5 - \\frac{7}{6}))^2", ["typ"] = "mocnina" } }

seed: e2shcBw6ptzYCybOmJew_0.02, bodu=10, $$\frac{7 - 8}{\frac{9}{6}}=\textcolor{white}{-\frac{2}{3}}$$return { ["body"] = 10, ["id"] = "eQUNK3_0601_2012", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = -0.66666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-2}{3}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{3}", ["y"] = -2, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 - 8", ["typ"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "\\frac{7 - 8}{\\frac{9}{6}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.03, bodu=12, $$4 \cdot (7 - (\frac{9}{8})^2)=\textcolor{white}{22\frac{15}{16}}$$return { ["body"] = 12, ["id"] = "kwR0Nt_0601_2012", ["obtiznost"] = 0.088, ["reseni"] = { ["float"] = 22.9375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 367, ["jmenovatel"] = 16 }, ["render"] = "\\frac{1468}{64}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{15}{16}", ["x"] = 22, ["y"] = 15, ["z"] = 16 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{9}{8})^2", ["typ"] = "mocnina" }, ["render"] = "7 - (\\frac{9}{8})^2", ["typ"] = "minus" }, ["render"] = "(7 - (\\frac{9}{8})^2)", ["typ"] = "zavorka" }, ["render"] = "4 \\cdot (7 - (\\frac{9}{8})^2)", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.04, bodu=5, $$11 + 6 - 6 \cdot 5=\textcolor{white}{-13}$$return { ["body"] = 5, ["id"] = "zdgwkL_0601_2012", ["obtiznost"] = 0.04, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-13}{1}", ["typ"] = "cislo" }, ["tex"] = "-13", ["tex_float"] = "-13", ["x"] = -13 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.04", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 5", ["typ"] = "krat" }, ["render"] = "11 + 6 - 6 \\cdot 5", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.05, bodu=11, $$\frac{7 + 4}{10 + 7}=\textcolor{white}{\frac{11}{17}}$$return { ["body"] = 11, ["id"] = "SBo4th_0601_2012", ["obtiznost"] = 0.05, ["reseni"] = { ["float"] = 0.64705882352941, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 17 }, ["render"] = "\\frac{11}{17}", ["typ"] = "cislo" }, ["tex"] = "\\frac{11}{17}", ["y"] = 11, ["z"] = 17 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.05", ["zadani"] = { ["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"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{7 + 4}{10 + 7}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.06, bodu=21, $$1\frac{3}{6} + 5 \cdot -11 - (-5)=\textcolor{white}{-48{,}5}$$return { ["body"] = 21, ["id"] = "uiYoGe_0601_2012", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = -48.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -97, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-97}{2}", ["typ"] = "cislo" }, ["tex"] = "-48\\frac{1}{2}", ["tex_float"] = "-48{,}5", ["x"] = -48, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -11", ["typ"] = "krat" }, ["render"] = "1\\frac{3}{6} + 5 \\cdot -11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} + 5 \\cdot -11 - (-5)", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.07, bodu=5, $$-7 + 8 + 9 + 10 + (-7)=\textcolor{white}{13}$$return { ["body"] = 5, ["id"] = "dh3P30_0601_2012", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "\\frac{13}{1}", ["typ"] = "cislo" }, ["tex"] = "13", ["x"] = 13 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 + 9 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "8 + 9 + 10 + (-7)", ["typ"] = "plus" }, ["render"] = "-7 + 8 + 9 + 10 + (-7)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.08, bodu=12, $$(\frac{2}{10} - 7) \cdot 5=\textcolor{white}{-34}$$return { ["body"] = 12, ["id"] = "1ueUE1_0601_2012", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -34, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-170}{5}", ["typ"] = "cislo" }, ["tex"] = "-34", ["x"] = -34 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.08", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{10} - 7", ["typ"] = "minus" }, ["render"] = "(\\frac{2}{10} - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(\\frac{2}{10} - 7) \\cdot 5", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.09, bodu=12, $$(\frac{8}{8})^4 \cdot 8=\textcolor{white}{8}$$return { ["body"] = 12, ["id"] = "kwOUHf_0601_2012", ["obtiznost"] = 0.0908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{8}{1}", ["typ"] = "cislo" }, ["tex"] = "8", ["x"] = 8 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.09", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{8}{8})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{8}{8})^4 \\cdot 8", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.1, bodu=15, $$-6 + 7 + (\frac{4}{10})^3=\textcolor{white}{1{,}064}$$return { ["body"] = 15, ["id"] = "38mYBK_0601_2012", ["obtiznost"] = 0.1532, ["reseni"] = { ["float"] = 1.064, ["objekt"] = { ["hodnota"] = { ["citatel"] = 133, ["jmenovatel"] = 125 }, ["render"] = "\\frac{133}{125}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{8}{125}", ["tex_float"] = "1{,}064", ["x"] = 1, ["y"] = 8, ["z"] = 125 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["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"] = "7 + (\\frac{4}{10})^3", ["typ"] = "plus" }, ["render"] = "-6 + 7 + (\\frac{4}{10})^3", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.11, bodu=6, $$5 - 7 \cdot 7 + 7=\textcolor{white}{-37}$$return { ["body"] = 6, ["id"] = "Hf5T5N_0601_2012", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -37, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-37}{1}", ["typ"] = "cislo" }, ["tex"] = "-37", ["x"] = -37 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7", ["typ"] = "krat" }, ["render"] = "5 - 7 \\cdot 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 - 7 \\cdot 7 + 7", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.12, bodu=13, $$9 + 8 - \frac{3}{9}=\textcolor{white}{16\frac{2}{3}}$$return { ["body"] = 13, ["id"] = "Tc2ALs_0601_2012", ["obtiznost"] = 0.12, ["reseni"] = { ["float"] = 16.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 50, ["jmenovatel"] = 3 }, ["render"] = "\\frac{50}{3}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{2}{3}", ["x"] = 16, ["y"] = 2, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{9}", ["typ"] = "lomeno" }, ["render"] = "9 + 8 - \\frac{3}{9}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.13, bodu=7, $$7 \cdot (5 + 11 + 6)=\textcolor{white}{154}$$return { ["body"] = 7, ["id"] = "Q0B4O4_0601_2012", ["obtiznost"] = 0.13, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 154, ["jmenovatel"] = 1 }, ["render"] = "\\frac{154}{1}", ["typ"] = "cislo" }, ["tex"] = "154", ["x"] = 154 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["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"] = "5 + 11 + 6", ["typ"] = "plus" }, ["render"] = "(5 + 11 + 6)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (5 + 11 + 6)", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.14, bodu=27, $$9 + 10 + (-7 + 13 + 1\frac{2}{4})=\textcolor{white}{26{,}5}$$return { ["body"] = 27, ["id"] = "t8zhK4_0601_2012", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = 26.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 2 }, ["render"] = "\\frac{53}{2}", ["typ"] = "cislo" }, ["tex"] = "26\\frac{1}{2}", ["tex_float"] = "26{,}5", ["x"] = 26, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-7 + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-7 + 13 + 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "10 + (-7 + 13 + 1\\frac{2}{4})", ["typ"] = "plus" }, ["render"] = "9 + 10 + (-7 + 13 + 1\\frac{2}{4})", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.15, bodu=15, $$\frac{(11 - 9)^2 \cdot 7}{7}=\textcolor{white}{4}$$return { ["body"] = 15, ["id"] = "mk27xq_0601_2012", ["obtiznost"] = 0.152, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "\\frac{28}{7}", ["typ"] = "cislo" }, ["tex"] = "4", ["tex_float"] = "4", ["x"] = 4 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(11 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(11 - 9)^2 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{(11 - 9)^2 \\cdot 7}{7}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.16, bodu=29, $$5 + 4\frac{2}{5} + 6 + 11 + (-6)=\textcolor{white}{20{,}4}$$return { ["body"] = 29, ["id"] = "QLdRkn_0601_2012", ["obtiznost"] = 0.36, ["reseni"] = { ["float"] = 20.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 102, ["jmenovatel"] = 5 }, ["render"] = "\\frac{102}{5}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{2}{5}", ["tex_float"] = "20{,}4", ["x"] = 20, ["y"] = 2, ["z"] = 5 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "5 + 4\\frac{2}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 + 11", ["typ"] = "plus" }, ["render"] = "5 + 4\\frac{2}{5} + 6 + 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "5 + 4\\frac{2}{5} + 6 + 11 + (-6)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.17, bodu=49, $$2\frac{5}{7} \cdot ((5 + (-3))^4 - 3\frac{3}{6})=\textcolor{white}{33\frac{13}{14}}$$return { ["body"] = 49, ["id"] = "ksogoz_0601_2012", ["obtiznost"] = 0.5768, ["reseni"] = { ["float"] = 33.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 475, ["jmenovatel"] = 14 }, ["render"] = "\\frac{475}{14}", ["typ"] = "cislo" }, ["tex"] = "33\\frac{13}{14}", ["x"] = 33, ["y"] = 13, ["z"] = 14 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["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 + (-3)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(5 + (-3))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "(5 + (-3))^4 - 3\\frac{3}{6}", ["typ"] = "minus" }, ["render"] = "((5 + (-3))^4 - 3\\frac{3}{6})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{5}{7} \\cdot ((5 + (-3))^4 - 3\\frac{3}{6})", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.18, bodu=19, $$\frac{(8 - (-8) - 5)^2}{9}=\textcolor{white}{13\frac{4}{9}}$$return { ["body"] = 19, ["id"] = "45t9zQ_0601_2012", ["obtiznost"] = 0.2288, ["reseni"] = { ["float"] = 13.444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 121, ["jmenovatel"] = 9 }, ["render"] = "\\frac{121}{9}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{4}{9}", ["x"] = 13, ["y"] = 4, ["z"] = 9 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.18", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "8 - (-8) - 5", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - (-8) - 5)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{(8 - (-8) - 5)^2}{9}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.19, bodu=17, $$(9 - 7) \cdot \frac{-11}{9}=\textcolor{white}{-2\frac{4}{9}}$$return { ["body"] = 17, ["id"] = "UoTUnF_0601_2012", ["obtiznost"] = 0.19, ["reseni"] = { ["float"] = -2.4444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-22}{9}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{4}{9}", ["x"] = -2, ["y"] = 4, ["z"] = 9 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.19", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 - 7", ["typ"] = "minus" }, ["render"] = "(9 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{9}", ["typ"] = "lomeno" }, ["render"] = "(9 - 7) \\cdot \\frac{-11}{9}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.2, bodu=32, $$(\frac{8}{3\frac{4}{6}} + (-5)) \cdot -10=\textcolor{white}{28\frac{2}{11}}$$return { ["body"] = 32, ["id"] = "5QOPqy_0601_2012", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = 28.181818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = 310, ["jmenovatel"] = 11 }, ["render"] = "\\frac{310}{11}", ["typ"] = "cislo" }, ["tex"] = "28\\frac{2}{11}", ["x"] = 28, ["y"] = 2, ["z"] = 11 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.2", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{3\\frac{4}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{3\\frac{4}{6}} + (-5)", ["typ"] = "plus" }, ["render"] = "(\\frac{8}{3\\frac{4}{6}} + (-5))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(\\frac{8}{3\\frac{4}{6}} + (-5)) \\cdot -10", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.21, bodu=22, $$\frac{(\frac{4}{-10})^3}{-12 \cdot 2}=\textcolor{white}{\frac{1}{375}}$$return { ["body"] = 22, ["id"] = "MjwbE5_0601_2012", ["obtiznost"] = 0.2632, ["reseni"] = { ["float"] = 0.0026666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 375 }, ["render"] = "\\frac{-8}{-3000}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{375}", ["y"] = 1, ["z"] = 375 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.21", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 2", ["typ"] = "krat" }, ["render"] = "\\frac{(\\frac{4}{-10})^3}{-12 \\cdot 2}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.22, bodu=16, $$-4 + (5 - 3)^4 - (12 + 9)^2=\textcolor{white}{-429}$$return { ["body"] = 16, ["id"] = "QfISgX_0601_2012", ["obtiznost"] = 0.4036, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -429, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-429}{1}", ["typ"] = "cislo" }, ["tex"] = "-429", ["tex_float"] = "-429", ["x"] = -429 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 4, ["render"] = "(5 - 3)^4", ["typ"] = "mocnina" }, ["render"] = "-4 + (5 - 3)^4", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 9)^2", ["typ"] = "mocnina" }, ["render"] = "-4 + (5 - 3)^4 - (12 + 9)^2", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.23, bodu=19, $$-6 - \frac{9}{-8} \cdot -7=\textcolor{white}{-13{,}875}$$return { ["body"] = 19, ["id"] = "QL6KdT_0601_2012", ["obtiznost"] = 0.23, ["reseni"] = { ["float"] = -13.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -111, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-111}{8}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{7}{8}", ["tex_float"] = "-13{,}875", ["x"] = -13, ["y"] = 7, ["z"] = 8 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-8} \\cdot -7", ["typ"] = "krat" }, ["render"] = "-6 - \\frac{9}{-8} \\cdot -7", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.24, bodu=28, $$(\frac{11 - (4 \cdot 8 + 7)}{7})^4=\textcolor{white}{256}$$return { ["body"] = 28, ["id"] = "Sc3DvI_0601_2012", ["obtiznost"] = 0.3428, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 256, ["jmenovatel"] = 1 }, ["render"] = "\\frac{256}{1}", ["typ"] = "cislo" }, ["tex"] = "256", ["tex_float"] = "256", ["x"] = 256 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.24", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 8 + 7", ["typ"] = "plus" }, ["render"] = "(4 \\cdot 8 + 7)", ["typ"] = "zavorka" }, ["render"] = "11 - (4 \\cdot 8 + 7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{11 - (4 \\cdot 8 + 7)}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{11 - (4 \\cdot 8 + 7)}{7})^4", ["typ"] = "mocnina" } }

seed: e2shcBw6ptzYCybOmJew_0.25, bodu=37, $$(3 + 7 - (4 + 10))^2 \cdot (3\frac{1}{4} + (-7))=\textcolor{white}{-60}$$return { ["body"] = 37, ["id"] = "JxgaXX_0601_2012", ["obtiznost"] = 0.4568, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -60, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-240}{4}", ["typ"] = "cislo" }, ["tex"] = "-60", ["tex_float"] = "-60", ["x"] = -60 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.25", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3 + 7", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 + 10", ["typ"] = "plus" }, ["render"] = "(4 + 10)", ["typ"] = "zavorka" }, ["render"] = "3 + 7 - (4 + 10)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3 + 7 - (4 + 10))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} + (-7)", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{4} + (-7))", ["typ"] = "zavorka" }, ["render"] = "(3 + 7 - (4 + 10))^2 \\cdot (3\\frac{1}{4} + (-7))", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.26, bodu=65, $$2\frac{4}{7} \cdot (9 - 1\frac{2}{7}) - (-4 + (-9))^2=\textcolor{white}{-149\frac{8}{49}}$$return { ["body"] = 65, ["id"] = "ZDP0SD_0601_2012", ["obtiznost"] = 0.728, ["reseni"] = { ["float"] = -149.16326530612, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7309, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-7309}{49}", ["typ"] = "cislo" }, ["tex"] = "-149\\frac{8}{49}", ["x"] = -149, ["y"] = 8, ["z"] = 49 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "(9 - 1\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{4}{7} \\cdot (9 - 1\\frac{2}{7})", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-4 + (-9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-4 + (-9))^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{4}{7} \\cdot (9 - 1\\frac{2}{7}) - (-4 + (-9))^2", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.27, bodu=26, $$(\frac{12 - (-8)}{(\frac{12}{6})^3})^3=\textcolor{white}{15{,}625}$$return { ["body"] = 26, ["id"] = "AebHrX_0601_2012", ["obtiznost"] = 0.3268, ["reseni"] = { ["float"] = 15.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 125, ["jmenovatel"] = 8 }, ["render"] = "\\frac{125}{8}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{5}{8}", ["tex_float"] = "15{,}625", ["x"] = 15, ["y"] = 5, ["z"] = 8 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.27", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "12 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{12}{6})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{12 - (-8)}{(\\frac{12}{6})^3}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{12 - (-8)}{(\\frac{12}{6})^3})^3", ["typ"] = "mocnina" } }

seed: e2shcBw6ptzYCybOmJew_0.28, bodu=23, $$\frac{11 \cdot 11}{\frac{-9}{12}}=\textcolor{white}{-161\frac{1}{3}}$$return { ["body"] = 23, ["id"] = "mOSc1d_0601_2012", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = -161.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -484, ["jmenovatel"] = 3 }, ["render"] = "\\frac{484}{-3}", ["typ"] = "cislo" }, ["tex"] = "-161\\frac{1}{3}", ["x"] = -161, ["y"] = 1, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11 \\cdot 11}{\\frac{-9}{12}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.29, bodu=61, $$\frac{9}{2\frac{4}{7} \cdot -3 + 1\frac{5}{9}}=\textcolor{white}{-1\frac{179}{388}}$$return { ["body"] = 61, ["id"] = "KTtm9O_0601_2012", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = -1.4613402061856, ["objekt"] = { ["hodnota"] = { ["citatel"] = -567, ["jmenovatel"] = 388 }, ["render"] = "\\frac{567}{-388}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{179}{388}", ["x"] = -1, ["y"] = 179, ["z"] = 388 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} \\cdot -3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} \\cdot -3 + 1\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{9}{2\\frac{4}{7} \\cdot -3 + 1\\frac{5}{9}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.3, bodu=27, $$(\frac{6}{\frac{7 - 7}{7} + 2})^4=\textcolor{white}{81}$$return { ["body"] = 27, ["id"] = "aBFKa6_0601_2012", ["obtiznost"] = 0.3328, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 1 }, ["render"] = "\\frac{81}{1}", ["typ"] = "cislo" }, ["tex"] = "81", ["tex_float"] = "81", ["x"] = 81 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.3", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 7}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 7}{7} + 2", ["typ"] = "plus" }, ["render"] = "\\frac{6}{\\frac{7 - 7}{7} + 2}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{6}{\\frac{7 - 7}{7} + 2})^4", ["typ"] = "mocnina" } }

seed: e2shcBw6ptzYCybOmJew_0.31, bodu=25, $$\frac{-3}{-7 + (-4 \cdot 8) - 12}=\textcolor{white}{\frac{1}{17}}$$return { ["body"] = 25, ["id"] = "iwT2Sn_0601_2012", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = 0.058823529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 17 }, ["render"] = "\\frac{-3}{-51}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{17}", ["y"] = 1, ["z"] = 17 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 8", ["typ"] = "krat" }, ["render"] = "-7 + (-4 \\cdot 8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-7 + (-4 \\cdot 8) - 12", ["typ"] = "minus" }, ["render"] = "\\frac{-3}{-7 + (-4 \\cdot 8) - 12}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.32, bodu=43, $$10 - (12 - (9 + 12) \cdot 2\frac{1}{4})=\textcolor{white}{45{,}25}$$return { ["body"] = 43, ["id"] = "TwnK7d_0601_2012", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = 45.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 181, ["jmenovatel"] = 4 }, ["render"] = "\\frac{181}{4}", ["typ"] = "cislo" }, ["tex"] = "45\\frac{1}{4}", ["tex_float"] = "45{,}25", ["x"] = 45, ["y"] = 1, ["z"] = 4 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.32", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 + 12", ["typ"] = "plus" }, ["render"] = "(9 + 12)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "(9 + 12) \\cdot 2\\frac{1}{4}", ["typ"] = "krat" }, ["render"] = "12 - (9 + 12) \\cdot 2\\frac{1}{4}", ["typ"] = "minus" }, ["render"] = "(12 - (9 + 12) \\cdot 2\\frac{1}{4})", ["typ"] = "zavorka" }, ["render"] = "10 - (12 - (9 + 12) \\cdot 2\\frac{1}{4})", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.33, bodu=63, $$\frac{\frac{-4}{4\frac{1}{6}}}{(13 + 8)^2}=\textcolor{white}{-\frac{8}{3675}}$$return { ["body"] = 63, ["id"] = "ZO01rI_0601_2012", ["obtiznost"] = 0.7068, ["reseni"] = { ["float"] = -0.0021768707482993, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 3675 }, ["render"] = "\\frac{-24}{11025}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{8}{3675}", ["y"] = -8, ["z"] = 3675 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{4\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["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"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(13 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{-4}{4\\frac{1}{6}}}{(13 + 8)^2}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.34, bodu=33, $$\frac{(\frac{-10}{9})^2}{-2} \cdot 12=\textcolor{white}{-7\frac{11}{27}}$$return { ["body"] = 33, ["id"] = "S0FsoJ_0601_2012", ["obtiznost"] = 0.4124, ["reseni"] = { ["float"] = -7.4074074074074, ["objekt"] = { ["hodnota"] = { ["citatel"] = -200, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-600}{81}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{11}{27}", ["x"] = -7, ["y"] = 11, ["z"] = 27 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-10}{9})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-10}{9})^2}{-2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-10}{9})^2}{-2} \\cdot 12", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.35, bodu=68, $$3\frac{2}{5} \cdot (5 + 2\frac{4}{11} \cdot -9)=\textcolor{white}{-55\frac{18}{55}}$$return { ["body"] = 68, ["id"] = "vk1bmt_0601_2012", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = -55.327272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3043, ["jmenovatel"] = 55 }, ["render"] = "\\frac{-3043}{55}", ["typ"] = "cislo" }, ["tex"] = "-55\\frac{18}{55}", ["x"] = -55, ["y"] = 18, ["z"] = 55 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{11} \\cdot -9", ["typ"] = "krat" }, ["render"] = "5 + 2\\frac{4}{11} \\cdot -9", ["typ"] = "plus" }, ["render"] = "(5 + 2\\frac{4}{11} \\cdot -9)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{5} \\cdot (5 + 2\\frac{4}{11} \\cdot -9)", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.36, bodu=14, $$10 - 11 - (3 - (-9) + 8)=\textcolor{white}{-21}$$return { ["body"] = 14, ["id"] = "6OLhiK_0601_2012", ["obtiznost"] = 0.36, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-21}{1}", ["typ"] = "cislo" }, ["tex"] = "-21", ["tex_float"] = "-21", ["x"] = -21 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "10 - 11", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3 - (-9)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3 - (-9) + 8", ["typ"] = "plus" }, ["render"] = "(3 - (-9) + 8)", ["typ"] = "zavorka" }, ["render"] = "10 - 11 - (3 - (-9) + 8)", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.37, bodu=48, $$\frac{11}{-8 - 2\frac{1}{6}} \cdot 9=\textcolor{white}{-9\frac{45}{61}}$$return { ["body"] = 48, ["id"] = "mtSAOX_0601_2012", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = -9.7377049180328, ["objekt"] = { ["hodnota"] = { ["citatel"] = -594, ["jmenovatel"] = 61 }, ["render"] = "\\frac{-594}{61}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{45}{61}", ["x"] = -9, ["y"] = 45, ["z"] = 61 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-8 - 2\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{11}{-8 - 2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-8 - 2\\frac{1}{6}} \\cdot 9", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.38, bodu=15, $$-11 + (-7 \cdot 7 \cdot 6)=\textcolor{white}{-305}$$return { ["body"] = 15, ["id"] = "zGQpNr_0601_2012", ["obtiznost"] = 0.38, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -305, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-305}{1}", ["typ"] = "cislo" }, ["tex"] = "-305", ["x"] = -305 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["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"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 6", ["typ"] = "krat" }, ["render"] = "-7 \\cdot 7 \\cdot 6", ["typ"] = "krat" }, ["render"] = "-11 + (-7 \\cdot 7 \\cdot 6)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.39, bodu=73, $$\frac{4\frac{3}{8}}{-8} \cdot (7 - 4\frac{4}{8})=\textcolor{white}{-1\frac{47}{128}}$$return { ["body"] = 73, ["id"] = "ueWETC_0601_2012", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -1.3671875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -175, ["jmenovatel"] = 128 }, ["render"] = "\\frac{-175}{128}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{47}{128}", ["x"] = -1, ["y"] = 47, ["z"] = 128 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{8}}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "7 - 4\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "(7 - 4\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "\\frac{4\\frac{3}{8}}{-8} \\cdot (7 - 4\\frac{4}{8})", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.4, bodu=74, $$10 \cdot 1\frac{5}{12} \cdot (13 + 6 - 1\frac{3}{5})=\textcolor{white}{246{,}5}$$return { ["body"] = 74, ["id"] = "yOpMBP_0601_2012", ["obtiznost"] = 0.8, ["reseni"] = { ["float"] = 246.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 493, ["jmenovatel"] = 2 }, ["render"] = "\\frac{7395}{30}", ["typ"] = "cislo" }, ["tex"] = "246\\frac{1}{2}", ["tex_float"] = "246{,}5", ["x"] = 246, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "6 - 1\\frac{3}{5}", ["typ"] = "minus" }, ["render"] = "13 + 6 - 1\\frac{3}{5}", ["typ"] = "plus" }, ["render"] = "(13 + 6 - 1\\frac{3}{5})", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot 1\\frac{5}{12} \\cdot (13 + 6 - 1\\frac{3}{5})", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.41, bodu=52, $$\frac{-6}{9} \cdot 8 - (-15) - 3\frac{5}{10}=\textcolor{white}{6\frac{1}{6}}$$return { ["body"] = 52, ["id"] = "MsQp7g_0601_2012", ["obtiznost"] = 0.61, ["reseni"] = { ["float"] = 6.1666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 6 }, ["render"] = "\\frac{37}{6}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1}{6}", ["x"] = 6, ["y"] = 1, ["z"] = 6 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{9} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{9} \\cdot 8 - (-15)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{9} \\cdot 8 - (-15) - 3\\frac{5}{10}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.42, bodu=76, $$(3\frac{2}{6} + (-7 - 15 - 4\frac{4}{8} + 6)) \cdot 10=\textcolor{white}{-171\frac{2}{3}}$$return { ["body"] = 76, ["id"] = "UWFFuC_0601_2012", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = -171.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -515, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-1030}{6}", ["typ"] = "cislo" }, ["tex"] = "-171\\frac{2}{3}", ["x"] = -171, ["y"] = 2, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.42", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-7 - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-7 - 15 - 4\\frac{4}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-7 - 15 - 4\\frac{4}{8} + 6", ["typ"] = "plus" }, ["render"] = "3\\frac{2}{6} + (-7 - 15 - 4\\frac{4}{8} + 6)", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{6} + (-7 - 15 - 4\\frac{4}{8} + 6))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(3\\frac{2}{6} + (-7 - 15 - 4\\frac{4}{8} + 6)) \\cdot 10", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.43, bodu=64, $$(-6 - (-12))^3 + (-7 + (1\frac{2}{4} + 9) \cdot 9)=\textcolor{white}{303{,}5}$$return { ["body"] = 64, ["id"] = "0sWkOR_0601_2012", ["obtiznost"] = 0.7168, ["reseni"] = { ["float"] = 303.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 607, ["jmenovatel"] = 2 }, ["render"] = "\\frac{607}{2}", ["typ"] = "cislo" }, ["tex"] = "303\\frac{1}{2}", ["tex_float"] = "303{,}5", ["x"] = 303, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.43", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-6 - (-12)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-6 - (-12))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{4} + 9", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{4} + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{4} + 9) \\cdot 9", ["typ"] = "krat" }, ["render"] = "-7 + (1\\frac{2}{4} + 9) \\cdot 9", ["typ"] = "plus" }, ["render"] = "(-6 - (-12))^3 + (-7 + (1\\frac{2}{4} + 9) \\cdot 9)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.44, bodu=45, $$\frac{(\frac{12}{-3})^4}{-4 \cdot -8}=\textcolor{white}{8}$$return { ["body"] = 45, ["id"] = "qZ5OEk_0601_2012", ["obtiznost"] = 0.5428, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{256}{32}", ["typ"] = "cislo" }, ["tex"] = "8", ["x"] = 8 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.44", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{-3}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{12}{-3})^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot -8", ["typ"] = "krat" }, ["render"] = "\\frac{(\\frac{12}{-3})^4}{-4 \\cdot -8}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.45, bodu=80, $$12 \cdot (11 + 2\frac{2}{5} + 14) \cdot 3\frac{1}{7}=\textcolor{white}{1033\frac{13}{35}}$$return { ["body"] = 80, ["id"] = "kTXzpH_0601_2012", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 1033.3714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36168, ["jmenovatel"] = 35 }, ["render"] = "\\frac{36168}{35}", ["typ"] = "cislo" }, ["tex"] = "1033\\frac{13}{35}", ["x"] = 1033, ["y"] = 13, ["z"] = 35 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.45", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{5} + 14", ["typ"] = "plus" }, ["render"] = "11 + 2\\frac{2}{5} + 14", ["typ"] = "plus" }, ["render"] = "(11 + 2\\frac{2}{5} + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "(11 + 2\\frac{2}{5} + 14) \\cdot 3\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "12 \\cdot (11 + 2\\frac{2}{5} + 14) \\cdot 3\\frac{1}{7}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.46, bodu=38, $$-8 \cdot 13 \cdot (3 + \frac{7}{12})=\textcolor{white}{-372\frac{2}{3}}$$return { ["body"] = 38, ["id"] = "7V5pqd_0601_2012", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = -372.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1118, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-4472}{12}", ["typ"] = "cislo" }, ["tex"] = "-372\\frac{2}{3}", ["x"] = -372, ["y"] = 2, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.46", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{12}", ["typ"] = "lomeno" }, ["render"] = "3 + \\frac{7}{12}", ["typ"] = "plus" }, ["render"] = "(3 + \\frac{7}{12})", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (3 + \\frac{7}{12})", ["typ"] = "krat" }, ["render"] = "-8 \\cdot 13 \\cdot (3 + \\frac{7}{12})", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.47, bodu=59, $$6 + (8 - (-7)) \cdot 17 - 3\frac{4}{7}=\textcolor{white}{257\frac{3}{7}}$$return { ["body"] = 59, ["id"] = "4hY8bW_0601_2012", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = 257.42857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1802, ["jmenovatel"] = 7 }, ["render"] = "\\frac{1802}{7}", ["typ"] = "cislo" }, ["tex"] = "257\\frac{3}{7}", ["x"] = 257, ["y"] = 3, ["z"] = 7 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.47", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "8 - (-7)", ["typ"] = "minus" }, ["render"] = "(8 - (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "(8 - (-7)) \\cdot 17", ["typ"] = "krat" }, ["render"] = "6 + (8 - (-7)) \\cdot 17", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "6 + (8 - (-7)) \\cdot 17 - 3\\frac{4}{7}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.48, bodu=25, $$(10 - (-7 + 13))^4 - ((13 + (-13))^3 - 12)=\textcolor{white}{268}$$return { ["body"] = 25, ["id"] = "y2T9tx_0601_2012", ["obtiznost"] = 0.5832, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 268, ["jmenovatel"] = 1 }, ["render"] = "\\frac{268}{1}", ["typ"] = "cislo" }, ["tex"] = "268", ["x"] = 268 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.48", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-7 + 13", ["typ"] = "plus" }, ["render"] = "(-7 + 13)", ["typ"] = "zavorka" }, ["render"] = "10 - (-7 + 13)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(10 - (-7 + 13))^4", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "13 + (-13)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(13 + (-13))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(13 + (-13))^3 - 12", ["typ"] = "minus" }, ["render"] = "((13 + (-13))^3 - 12)", ["typ"] = "zavorka" }, ["render"] = "(10 - (-7 + 13))^4 - ((13 + (-13))^3 - 12)", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.49, bodu=85, $$-10 + 15 + 4\frac{4}{6} - 3\frac{3}{8} + 13 \cdot -11=\textcolor{white}{-136\frac{17}{24}}$$return { ["body"] = 85, ["id"] = "TDGWRE_0601_2012", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -136.70833333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3281, ["jmenovatel"] = 24 }, ["render"] = "\\frac{-3281}{24}", ["typ"] = "cislo" }, ["tex"] = "-136\\frac{17}{24}", ["x"] = -136, ["y"] = 17, ["z"] = 24 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-10 + 15", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} - 3\\frac{3}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -11", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{6} - 3\\frac{3}{8} + 13 \\cdot -11", ["typ"] = "plus" }, ["render"] = "-10 + 15 + 4\\frac{4}{6} - 3\\frac{3}{8} + 13 \\cdot -11", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.5, bodu=86, $$\frac{-11 \cdot 6}{2\frac{4}{7} \cdot 4\frac{1}{2}}=\textcolor{white}{-5\frac{19}{27}}$$return { ["body"] = 86, ["id"] = "DDLh4Z_0601_2012", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = -5.7037037037037, ["objekt"] = { ["hodnota"] = { ["citatel"] = -154, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-462}{81}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{19}{27}", ["x"] = -5, ["y"] = 19, ["z"] = 27 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} \\cdot 4\\frac{1}{2}", ["typ"] = "krat" }, ["render"] = "\\frac{-11 \\cdot 6}{2\\frac{4}{7} \\cdot 4\\frac{1}{2}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.51, bodu=98, $$\frac{4\frac{1}{7} + \frac{2\frac{1}{6}}{-8}}{(\frac{8}{-10})^3}=\textcolor{white}{-7\frac{12097}{21504}}$$return { ["body"] = 98, ["id"] = "gRIHmK_0601_2012", ["obtiznost"] = 0.9856, ["reseni"] = { ["float"] = -7.5625465029762, ["objekt"] = { ["hodnota"] = { ["citatel"] = -162625, ["jmenovatel"] = 21504 }, ["render"] = "\\frac{162625}{-21504}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{12097}{21504}", ["x"] = -7, ["y"] = 12097, ["z"] = 21504 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6}}{-8}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{7} + \\frac{2\\frac{1}{6}}{-8}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8}{-10})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{1}{7} + \\frac{2\\frac{1}{6}}{-8}}{(\\frac{8}{-10})^3}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.52, bodu=89, $$(4\frac{3}{8} - 1\frac{3}{7}) \cdot -11 - (10 - (-11))=\textcolor{white}{-53\frac{23}{56}}$$return { ["body"] = 89, ["id"] = "n52NYc_0601_2012", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = -53.410714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2991, ["jmenovatel"] = 56 }, ["render"] = "\\frac{-2991}{56}", ["typ"] = "cislo" }, ["tex"] = "-53\\frac{23}{56}", ["x"] = -53, ["y"] = 23, ["z"] = 56 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} - 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{8} - 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{8} - 1\\frac{3}{7}) \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "10 - (-11)", ["typ"] = "minus" }, ["render"] = "(10 - (-11))", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{3}{8} - 1\\frac{3}{7}) \\cdot -11 - (10 - (-11))", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.53, bodu=90, $$\frac{-15}{\frac{-16}{-11} + 1\frac{2}{7} + 2\frac{2}{9}}=\textcolor{white}{-3\frac{78}{3439}}$$return { ["body"] = 90, ["id"] = "C2lM7U_0601_2012", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = -3.0226810119221, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10395, ["jmenovatel"] = 3439 }, ["render"] = "\\frac{-10395}{3439}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{78}{3439}", ["x"] = -3, ["y"] = 78, ["z"] = 3439 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{-11} + 1\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{-11} + 1\\frac{2}{7} + 2\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{-15}{\\frac{-16}{-11} + 1\\frac{2}{7} + 2\\frac{2}{9}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.54, bodu=67, $$-14 - (8 - \frac{-4}{2\frac{5}{11}}) + 11=\textcolor{white}{-12\frac{17}{27}}$$return { ["body"] = 67, ["id"] = "TzIQ0r_0601_2012", ["obtiznost"] = 0.74, ["reseni"] = { ["float"] = -12.62962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = -341, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-341}{27}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{17}{27}", ["x"] = -12, ["y"] = 17, ["z"] = 27 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{2\\frac{5}{11}}", ["typ"] = "lomeno" }, ["render"] = "8 - \\frac{-4}{2\\frac{5}{11}}", ["typ"] = "minus" }, ["render"] = "(8 - \\frac{-4}{2\\frac{5}{11}})", ["typ"] = "zavorka" }, ["render"] = "-14 - (8 - \\frac{-4}{2\\frac{5}{11}})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-14 - (8 - \\frac{-4}{2\\frac{5}{11}}) + 11", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.55, bodu=69, $$7 + (-13 \cdot -5 + (6 - 10)^2) - 3\frac{5}{10}=\textcolor{white}{84{,}5}$$return { ["body"] = 69, ["id"] = "Bqhrwu_0601_2012", ["obtiznost"] = 0.7568, ["reseni"] = { ["float"] = 84.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 169, ["jmenovatel"] = 2 }, ["render"] = "\\frac{169}{2}", ["typ"] = "cislo" }, ["tex"] = "84\\frac{1}{2}", ["tex_float"] = "84{,}5", ["x"] = 84, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -5", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "6 - 10", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(6 - 10)^2", ["typ"] = "mocnina" }, ["render"] = "-13 \\cdot -5 + (6 - 10)^2", ["typ"] = "plus" }, ["render"] = "7 + (-13 \\cdot -5 + (6 - 10)^2)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "7 + (-13 \\cdot -5 + (6 - 10)^2) - 3\\frac{5}{10}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.56, bodu=94, $$\frac{10}{\frac{1\frac{1}{9} \cdot 11}{2\frac{4}{5} + 15}}=\textcolor{white}{14\frac{31}{55}}$$return { ["body"] = 94, ["id"] = "iDT9qZ_0601_2012", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = 14.563636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = 801, ["jmenovatel"] = 55 }, ["render"] = "\\frac{8010}{550}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{31}{55}", ["x"] = 14, ["y"] = 31, ["z"] = 55 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.56", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{5} + 15", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{9} \\cdot 11}{2\\frac{4}{5} + 15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{\\frac{1\\frac{1}{9} \\cdot 11}{2\\frac{4}{5} + 15}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.57, bodu=70, $$10 + 11 - (-17 \cdot (-5 - 1\frac{2}{8}))=\textcolor{white}{-85{,}25}$$return { ["body"] = 70, ["id"] = "xn3K4N_0601_2012", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = -85.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -341, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-341}{4}", ["typ"] = "cislo" }, ["tex"] = "-85\\frac{1}{4}", ["tex_float"] = "-85{,}25", ["x"] = -85, ["y"] = 1, ["z"] = 4 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "10 + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-5 - 1\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(-5 - 1\\frac{2}{8})", ["typ"] = "zavorka" }, ["render"] = "-17 \\cdot (-5 - 1\\frac{2}{8})", ["typ"] = "krat" }, ["render"] = "10 + 11 - (-17 \\cdot (-5 - 1\\frac{2}{8}))", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.58, bodu=71, $$\frac{\frac{13}{1\frac{5}{11}}}{\frac{-8}{11}}=\textcolor{white}{-12\frac{37}{128}}$$return { ["body"] = 71, ["id"] = "tpdXdg_0601_2012", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -12.2890625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1573, ["jmenovatel"] = 128 }, ["render"] = "\\frac{1573}{-128}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{37}{128}", ["x"] = -12, ["y"] = 37, ["z"] = 128 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{13}{1\\frac{5}{11}}}{\\frac{-8}{11}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.59, bodu=73, $$-16 - (-11) + 2\frac{1}{4} - \frac{8}{-11}=\textcolor{white}{-2\frac{1}{44}}$$return { ["body"] = 73, ["id"] = "oLyLX1_0601_2012", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -2.0227272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = -89, ["jmenovatel"] = 44 }, ["render"] = "\\frac{-89}{44}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{1}{44}", ["x"] = -2, ["y"] = 1, ["z"] = 44 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-16 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-11}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{1}{4} - \\frac{8}{-11}", ["typ"] = "minus" }, ["render"] = "-16 - (-11) + 2\\frac{1}{4} - \\frac{8}{-11}", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.6, bodu=100, $$(8 - 2\frac{2}{7}) \cdot -12 \cdot \frac{2\frac{5}{9}}{-19}=\textcolor{white}{9\frac{89}{399}}$$return { ["body"] = 100, ["id"] = "2cvqjI_0601_2012", ["obtiznost"] = 1, ["reseni"] = { ["float"] = 9.2230576441103, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3680, ["jmenovatel"] = 399 }, ["render"] = "\\frac{3680}{399}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{89}{399}", ["x"] = 9, ["y"] = 89, ["z"] = 399 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.6", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "8 - 2\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "(8 - 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{9}}{-19}", ["typ"] = "lomeno" }, ["render"] = "-12 \\cdot \\frac{2\\frac{5}{9}}{-19}", ["typ"] = "krat" }, ["render"] = "(8 - 2\\frac{2}{7}) \\cdot -12 \\cdot \\frac{2\\frac{5}{9}}{-19}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.61, bodu=101, $$-12 - \frac{2\frac{3}{5}}{\frac{-10}{13} \cdot 1\frac{4}{10}}=\textcolor{white}{-9\frac{41}{70}}$$return { ["body"] = 101, ["id"] = "bT1Njh_0601_2012", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -9.5857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -671, ["jmenovatel"] = 70 }, ["render"] = "\\frac{-671}{70}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{41}{70}", ["x"] = -9, ["y"] = 41, ["z"] = 70 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.61", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{13} \\cdot 1\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{3}{5}}{\\frac{-10}{13} \\cdot 1\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "-12 - \\frac{2\\frac{3}{5}}{\\frac{-10}{13} \\cdot 1\\frac{4}{10}}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.62, bodu=76, $$\frac{-15 + 3\frac{5}{14} - 5}{\frac{-10}{7 \cdot 12}}=\textcolor{white}{139{,}8}$$return { ["body"] = 76, ["id"] = "odxZer_0601_2012", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 139.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 699, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-9786}{-70}", ["typ"] = "cislo" }, ["tex"] = "139\\frac{4}{5}", ["tex_float"] = "139{,}8", ["x"] = 139, ["y"] = 4, ["z"] = 5 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "-15 + 3\\frac{5}{14}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-15 + 3\\frac{5}{14} - 5", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 12", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{7 \\cdot 12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-15 + 3\\frac{5}{14} - 5}{\\frac{-10}{7 \\cdot 12}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.63, bodu=78, $$\frac{\frac{4\frac{1}{3}}{8}}{-9 - (8 - (-13))}=\textcolor{white}{-\frac{13}{720}}$$return { ["body"] = 78, ["id"] = "oWEucM_0601_2012", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -0.018055555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 720 }, ["render"] = "\\frac{13}{-720}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{720}", ["y"] = -13, ["z"] = 720 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{3}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "8 - (-13)", ["typ"] = "minus" }, ["render"] = "(8 - (-13))", ["typ"] = "zavorka" }, ["render"] = "-9 - (8 - (-13))", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{4\\frac{1}{3}}{8}}{-9 - (8 - (-13))}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.64, bodu=105, $$3\frac{2}{7} - (-14 \cdot (13 - 1\frac{2}{6}) + (-9 \cdot -10))=\textcolor{white}{76\frac{13}{21}}$$return { ["body"] = 105, ["id"] = "qkCsu2_0601_2012", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = 76.619047619048, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1609, ["jmenovatel"] = 21 }, ["render"] = "\\frac{1609}{21}", ["typ"] = "cislo" }, ["tex"] = "76\\frac{13}{21}", ["x"] = 76, ["y"] = 13, ["z"] = 21 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "13 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(13 - 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot (13 - 1\\frac{2}{6})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot -10", ["typ"] = "krat" }, ["render"] = "-14 \\cdot (13 - 1\\frac{2}{6}) + (-9 \\cdot -10)", ["typ"] = "plus" }, ["render"] = "(-14 \\cdot (13 - 1\\frac{2}{6}) + (-9 \\cdot -10))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{7} - (-14 \\cdot (13 - 1\\frac{2}{6}) + (-9 \\cdot -10))", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.65, bodu=106, $$\frac{\frac{9 \cdot 3\frac{2}{9}}{4\frac{3}{8}}}{-10 \cdot -12}=\textcolor{white}{\frac{29}{525}}$$return { ["body"] = 106, ["id"] = "UcGY51_0601_2012", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = 0.055238095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 525 }, ["render"] = "\\frac{232}{4200}", ["typ"] = "cislo" }, ["tex"] = "\\frac{29}{525}", ["y"] = 29, ["z"] = 525 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 3\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{9 \\cdot 3\\frac{2}{9}}{4\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot -12", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{9 \\cdot 3\\frac{2}{9}}{4\\frac{3}{8}}}{-10 \\cdot -12}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.66, bodu=109, $$\frac{\frac{-17}{6}}{\frac{2\frac{3}{7}}{(-12 + (-11))^2} + 8}=\textcolor{white}{-\frac{62951}{177846}}$$return { ["body"] = 109, ["id"] = "Rt5cCX_0601_2012", ["obtiznost"] = 1.072, ["reseni"] = { ["float"] = -0.35396354149095, ["objekt"] = { ["hodnota"] = { ["citatel"] = -62951, ["jmenovatel"] = 177846 }, ["render"] = "\\frac{-62951}{177846}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{62951}{177846}", ["y"] = -62951, ["z"] = 177846 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-12 + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-12 + (-11))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{3}{7}}{(-12 + (-11))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{7}}{(-12 + (-11))^2} + 8", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-17}{6}}{\\frac{2\\frac{3}{7}}{(-12 + (-11))^2} + 8}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.67, bodu=109, $$2\frac{1}{7} + (16 + 2\frac{1}{5} + \frac{3}{20}) \cdot 7=\textcolor{white}{130\frac{83}{140}}$$return { ["body"] = 109, ["id"] = "ouYBUV_0601_2012", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 130.59285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18283, ["jmenovatel"] = 140 }, ["render"] = "\\frac{18283}{140}", ["typ"] = "cislo" }, ["tex"] = "130\\frac{83}{140}", ["x"] = 130, ["y"] = 83, ["z"] = 140 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.67", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "16 + 2\\frac{1}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{20}", ["typ"] = "lomeno" }, ["render"] = "16 + 2\\frac{1}{5} + \\frac{3}{20}", ["typ"] = "plus" }, ["render"] = "(16 + 2\\frac{1}{5} + \\frac{3}{20})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(16 + 2\\frac{1}{5} + \\frac{3}{20}) \\cdot 7", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{7} + (16 + 2\\frac{1}{5} + \\frac{3}{20}) \\cdot 7", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.68, bodu=30, $$(11 \cdot -14 - (-7)) \cdot (-11 + (-14)) + (-16)=\textcolor{white}{3659}$$return { ["body"] = 30, ["id"] = "GgPyj7_0601_2012", ["obtiznost"] = 0.68, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3659, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3659}{1}", ["typ"] = "cislo" }, ["tex"] = "3659", ["tex_float"] = "3659", ["x"] = 3659 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -14 - (-7)", ["typ"] = "minus" }, ["render"] = "(11 \\cdot -14 - (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-11 + (-14)", ["typ"] = "plus" }, ["render"] = "(-11 + (-14))", ["typ"] = "zavorka" }, ["render"] = "(11 \\cdot -14 - (-7)) \\cdot (-11 + (-14))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(11 \\cdot -14 - (-7)) \\cdot (-11 + (-14)) + (-16)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.69, bodu=173, $$\frac{\frac{3\frac{3}{8} - (-12)}{1\frac{4}{11}} \cdot 1\frac{3}{6}}{17 + 3\frac{5}{7}}=\textcolor{white}{\frac{9471}{11600}}$$return { ["body"] = 173, ["id"] = "HszSij_0601_2012", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = 0.81646551724138, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9471, ["jmenovatel"] = 11600 }, ["render"] = "\\frac{9471}{11600}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9471}{11600}", ["y"] = 9471, ["z"] = 11600 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{8} - (-12)}{1\\frac{4}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{8} - (-12)}{1\\frac{4}{11}} \\cdot 1\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "17 + 3\\frac{5}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{3\\frac{3}{8} - (-12)}{1\\frac{4}{11}} \\cdot 1\\frac{3}{6}}{17 + 3\\frac{5}{7}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.7, bodu=62, $$\frac{\frac{-12}{9}}{7 + (-14)} \cdot 14=\textcolor{white}{2\frac{2}{3}}$$return { ["body"] = 62, ["id"] = "KMNJB9_0601_2012", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 2.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "\\frac{56}{21}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{2}{3}", ["x"] = 2, ["y"] = 2, ["z"] = 3 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "7 + (-14)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-12}{9}}{7 + (-14)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-12}{9}}{7 + (-14)} \\cdot 14", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.71, bodu=211, $$1\frac{2}{6} \cdot \frac{2\frac{1}{7}}{3\frac{1}{8} - 3\frac{3}{10}} \cdot 2\frac{2}{9}=\textcolor{white}{-36\frac{124}{441}}$$return { ["body"] = 211, ["id"] = "hSuDsv_0601_2012", ["obtiznost"] = 1.71, ["reseni"] = { ["float"] = -36.281179138322, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16000, ["jmenovatel"] = 441 }, ["render"] = "\\frac{-16000}{441}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{124}{441}", ["x"] = -36, ["y"] = 124, ["z"] = 441 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.71", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} - 3\\frac{3}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{7}}{3\\frac{1}{8} - 3\\frac{3}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{7}}{3\\frac{1}{8} - 3\\frac{3}{10}} \\cdot 2\\frac{2}{9}", ["typ"] = "krat" }, ["render"] = "1\\frac{2}{6} \\cdot \\frac{2\\frac{1}{7}}{3\\frac{1}{8} - 3\\frac{3}{10}} \\cdot 2\\frac{2}{9}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.72, bodu=116, $$\frac{-11}{4\frac{3}{8} \cdot (1\frac{4}{7} - 7)} \cdot (-10 + (-11))=\textcolor{white}{-9\frac{69}{95}}$$return { ["body"] = 116, ["id"] = "stIdjI_0601_2012", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = -9.7263157894737, ["objekt"] = { ["hodnota"] = { ["citatel"] = -924, ["jmenovatel"] = 95 }, ["render"] = "\\frac{-924}{95}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{69}{95}", ["x"] = -9, ["y"] = 69, ["z"] = 95 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} - 7", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{7} - 7)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{8} \\cdot (1\\frac{4}{7} - 7)", ["typ"] = "krat" }, ["render"] = "\\frac{-11}{4\\frac{3}{8} \\cdot (1\\frac{4}{7} - 7)}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-10 + (-11)", ["typ"] = "plus" }, ["render"] = "(-10 + (-11))", ["typ"] = "zavorka" }, ["render"] = "\\frac{-11}{4\\frac{3}{8} \\cdot (1\\frac{4}{7} - 7)} \\cdot (-10 + (-11))", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.73, bodu=180, $$\frac{2\frac{1}{9} - 3\frac{4}{13} + 2\frac{1}{8} \cdot -7}{-20 \cdot 3\frac{3}{5}}=\textcolor{white}{\frac{15043}{67392}}$$return { ["body"] = 180, ["id"] = "smTBdX_0601_2012", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = 0.22321640550807, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15043, ["jmenovatel"] = 67392 }, ["render"] = "\\frac{-15043}{-67392}", ["typ"] = "cislo" }, ["tex"] = "\\frac{15043}{67392}", ["y"] = 15043, ["z"] = 67392 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{9} - 3\\frac{4}{13}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{8} \\cdot -7", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{9} - 3\\frac{4}{13} + 2\\frac{1}{8} \\cdot -7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-20 \\cdot 3\\frac{3}{5}", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{1}{9} - 3\\frac{4}{13} + 2\\frac{1}{8} \\cdot -7}{-20 \\cdot 3\\frac{3}{5}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.74, bodu=119, $$(-9 + (-15 + 1\frac{3}{8})) \cdot 3\frac{2}{8} \cdot (10 - 7)=\textcolor{white}{-220\frac{19}{32}}$$return { ["body"] = 119, ["id"] = "Fh5mg0_0601_2012", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -220.59375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7059, ["jmenovatel"] = 32 }, ["render"] = "\\frac{-7059}{32}", ["typ"] = "cislo" }, ["tex"] = "-220\\frac{19}{32}", ["x"] = -220, ["y"] = 19, ["z"] = 32 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.74", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "-15 + 1\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "-9 + (-15 + 1\\frac{3}{8})", ["typ"] = "plus" }, ["render"] = "(-9 + (-15 + 1\\frac{3}{8}))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 - 7", ["typ"] = "minus" }, ["render"] = "(10 - 7)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{8} \\cdot (10 - 7)", ["typ"] = "krat" }, ["render"] = "(-9 + (-15 + 1\\frac{3}{8})) \\cdot 3\\frac{2}{8} \\cdot (10 - 7)", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.75, bodu=93, $$\frac{5 \cdot -7 - 10}{3\frac{3}{13} - 6}=\textcolor{white}{16{,}25}$$return { ["body"] = 93, ["id"] = "RgSkCX_0601_2012", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = 16.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-585}{-36}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{1}{4}", ["tex_float"] = "16{,}25", ["x"] = 16, ["y"] = 1, ["z"] = 4 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -7 - 10", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{13} - 6", ["typ"] = "minus" }, ["render"] = "\\frac{5 \\cdot -7 - 10}{3\\frac{3}{13} - 6}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.76, bodu=94, $$\frac{1\frac{5}{10}}{\frac{-17}{7}} + 21 + (-11 - 14)=\textcolor{white}{-4\frac{21}{34}}$$return { ["body"] = 94, ["id"] = "lgZICz_0601_2012", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = -4.6176470588235, ["objekt"] = { ["hodnota"] = { ["citatel"] = -157, ["jmenovatel"] = 34 }, ["render"] = "\\frac{-157}{34}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{21}{34}", ["x"] = -4, ["y"] = 21, ["z"] = 34 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{10}}{\\frac{-17}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-11 - 14", ["typ"] = "minus" }, ["render"] = "21 + (-11 - 14)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{5}{10}}{\\frac{-17}{7}} + 21 + (-11 - 14)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.77, bodu=154, $$(2\frac{5}{8} + 3\frac{2}{10} \cdot 18) \cdot \frac{-7}{8 + 1\frac{5}{6}}=\textcolor{white}{-42\frac{1029}{1180}}$$return { ["body"] = 154, ["id"] = "P93u9w_0601_2012", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = -42.872033898305, ["objekt"] = { ["hodnota"] = { ["citatel"] = -50589, ["jmenovatel"] = 1180 }, ["render"] = "\\frac{-101178}{2360}", ["typ"] = "cislo" }, ["tex"] = "-42\\frac{1029}{1180}", ["x"] = -42, ["y"] = 1029, ["z"] = 1180 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.77", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{10} \\cdot 18", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{8} + 3\\frac{2}{10} \\cdot 18", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{8} + 3\\frac{2}{10} \\cdot 18)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "8 + 1\\frac{5}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{-7}{8 + 1\\frac{5}{6}}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{5}{8} + 3\\frac{2}{10} \\cdot 18) \\cdot \\frac{-7}{8 + 1\\frac{5}{6}}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.78, bodu=125, $$3\frac{1}{8} \cdot -11 - \frac{-15}{-18 - 3\frac{4}{11}}=\textcolor{white}{-35\frac{29}{376}}$$return { ["body"] = 125, ["id"] = "461vhi_0601_2012", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -35.077127659574, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13189, ["jmenovatel"] = 376 }, ["render"] = "\\frac{-13189}{376}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{29}{376}", ["x"] = -35, ["y"] = 29, ["z"] = 376 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "-18 - 3\\frac{4}{11}", ["typ"] = "minus" }, ["render"] = "\\frac{-15}{-18 - 3\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{8} \\cdot -11 - \\frac{-15}{-18 - 3\\frac{4}{11}}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.79, bodu=162, $$\frac{(4\frac{5}{10} \cdot -18 - 4\frac{3}{6} \cdot -16)^2}{2\frac{3}{10}}=\textcolor{white}{35\frac{5}{23}}$$return { ["body"] = 162, ["id"] = "w7v5vY_0601_2012", ["obtiznost"] = 1.4228, ["reseni"] = { ["float"] = 35.217391304348, ["objekt"] = { ["hodnota"] = { ["citatel"] = 810, ["jmenovatel"] = 23 }, ["render"] = "\\frac{810}{23}", ["typ"] = "cislo" }, ["tex"] = "35\\frac{5}{23}", ["x"] = 35, ["y"] = 5, ["z"] = 23 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.79", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} \\cdot -18", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} \\cdot -16", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{10} \\cdot -18 - 4\\frac{3}{6} \\cdot -16", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{5}{10} \\cdot -18 - 4\\frac{3}{6} \\cdot -16)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(4\\frac{5}{10} \\cdot -18 - 4\\frac{3}{6} \\cdot -16)^2}{2\\frac{3}{10}}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.8, bodu=192, $$(-9 - 4\frac{5}{10} + (-10) - 2\frac{4}{10}) \cdot \frac{3\frac{3}{11}}{21 - 1\frac{4}{14}}=\textcolor{white}{-4\frac{379}{1265}}$$return { ["body"] = 192, ["id"] = "e1FAOs_0601_2012", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = -4.299604743083, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5439, ["jmenovatel"] = 1265 }, ["render"] = "\\frac{-10878}{2530}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{379}{1265}", ["x"] = -4, ["y"] = 379, ["z"] = 1265 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.8", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{5}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{5}{10} + (-10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{5}{10} + (-10) - 2\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "(-9 - 4\\frac{5}{10} + (-10) - 2\\frac{4}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{14}", ["typ"] = "cislo" }, ["render"] = "21 - 1\\frac{4}{14}", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{3}{11}}{21 - 1\\frac{4}{14}}", ["typ"] = "lomeno" }, ["render"] = "(-9 - 4\\frac{5}{10} + (-10) - 2\\frac{4}{10}) \\cdot \\frac{3\\frac{3}{11}}{21 - 1\\frac{4}{14}}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.81, bodu=160, $$13 \cdot (-10 + 1\frac{4}{8}) - \frac{-13 - 2\frac{2}{6}}{4\frac{4}{14}}=\textcolor{white}{-106\frac{83}{90}}$$return { ["body"] = 160, ["id"] = "PGdVeZ_0601_2012", ["obtiznost"] = 1.41, ["reseni"] = { ["float"] = -106.92222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9623, ["jmenovatel"] = 90 }, ["render"] = "\\frac{-9623}{90}", ["typ"] = "cislo" }, ["tex"] = "-106\\frac{83}{90}", ["x"] = -106, ["y"] = 83, ["z"] = 90 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-10 + 1\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(-10 + 1\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (-10 + 1\\frac{4}{8})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-13 - 2\\frac{2}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 - 2\\frac{2}{6}}{4\\frac{4}{14}}", ["typ"] = "lomeno" }, ["render"] = "13 \\cdot (-10 + 1\\frac{4}{8}) - \\frac{-13 - 2\\frac{2}{6}}{4\\frac{4}{14}}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.82, bodu=162, $$(-17 + 1\frac{1}{6} + (-14)) \cdot \frac{(2\frac{2}{6} - 3\frac{4}{7}) \cdot -2}{15}=\textcolor{white}{-4\frac{874}{945}}$$return { ["body"] = 162, ["id"] = "JEKlWN_0601_2012", ["obtiznost"] = 1.42, ["reseni"] = { ["float"] = -4.9248677248677, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4654, ["jmenovatel"] = 945 }, ["render"] = "\\frac{-9308}{1890}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{874}{945}", ["x"] = -4, ["y"] = 874, ["z"] = 945 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.82", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-17 + 1\\frac{1}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-17 + 1\\frac{1}{6} + (-14)", ["typ"] = "plus" }, ["render"] = "(-17 + 1\\frac{1}{6} + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} - 3\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{6} - 3\\frac{4}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "(2\\frac{2}{6} - 3\\frac{4}{7}) \\cdot -2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{(2\\frac{2}{6} - 3\\frac{4}{7}) \\cdot -2}{15}", ["typ"] = "lomeno" }, ["render"] = "(-17 + 1\\frac{1}{6} + (-14)) \\cdot \\frac{(2\\frac{2}{6} - 3\\frac{4}{7}) \\cdot -2}{15}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.83, bodu=221, $$(3\frac{3}{7} + (-11)) \cdot (12 + \frac{(14 + 15)^2 \cdot 2\frac{2}{6}}{2\frac{2}{5}})=\textcolor{white}{-6281\frac{139}{252}}$$return { ["body"] = 221, ["id"] = "oHyJii_0601_2012", ["obtiznost"] = 1.7668, ["reseni"] = { ["float"] = -6281.5515873016, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1582951, ["jmenovatel"] = 252 }, ["render"] = "\\frac{-1582951}{252}", ["typ"] = "cislo" }, ["tex"] = "-6281\\frac{139}{252}", ["x"] = -6281, ["y"] = 139, ["z"] = 252 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.83", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} + (-11)", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{7} + (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "14 + 15", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(14 + 15)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "(14 + 15)^2 \\cdot 2\\frac{2}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{(14 + 15)^2 \\cdot 2\\frac{2}{6}}{2\\frac{2}{5}}", ["typ"] = "lomeno" }, ["render"] = "12 + \\frac{(14 + 15)^2 \\cdot 2\\frac{2}{6}}{2\\frac{2}{5}}", ["typ"] = "plus" }, ["render"] = "(12 + \\frac{(14 + 15)^2 \\cdot 2\\frac{2}{6}}{2\\frac{2}{5}})", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{3}{7} + (-11)) \\cdot (12 + \\frac{(14 + 15)^2 \\cdot 2\\frac{2}{6}}{2\\frac{2}{5}})", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.84, bodu=135, $$(-15 - (1\frac{5}{8} - 3\frac{1}{8})^2) \cdot \frac{12}{18 - 17}=\textcolor{white}{-207}$$return { ["body"] = 135, ["id"] = "rKvsGI_0601_2012", ["obtiznost"] = 1.2452, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -207, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-828}{4}", ["typ"] = "cislo" }, ["tex"] = "-207", ["tex_float"] = "-207", ["x"] = -207 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.84", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 3\\frac{1}{8}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{5}{8} - 3\\frac{1}{8})^2", ["typ"] = "mocnina" }, ["render"] = "-15 - (1\\frac{5}{8} - 3\\frac{1}{8})^2", ["typ"] = "minus" }, ["render"] = "(-15 - (1\\frac{5}{8} - 3\\frac{1}{8})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "18 - 17", ["typ"] = "minus" }, ["render"] = "\\frac{12}{18 - 17}", ["typ"] = "lomeno" }, ["render"] = "(-15 - (1\\frac{5}{8} - 3\\frac{1}{8})^2) \\cdot \\frac{12}{18 - 17}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.85, bodu=156, $$-8 + 2\frac{1}{4} + (-15 - (-9 - 4\frac{2}{9}))^2 + \frac{6}{-8}=\textcolor{white}{-3\frac{55}{162}}$$return { ["body"] = 156, ["id"] = "XTCsmE_0601_2012", ["obtiznost"] = 1.3848, ["reseni"] = { ["float"] = -3.3395061728395, ["objekt"] = { ["hodnota"] = { ["citatel"] = -541, ["jmenovatel"] = 162 }, ["render"] = "\\frac{-541}{162}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{55}{162}", ["x"] = -3, ["y"] = 55, ["z"] = 162 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.85", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{2}{9}", ["typ"] = "minus" }, ["render"] = "(-9 - 4\\frac{2}{9})", ["typ"] = "zavorka" }, ["render"] = "-15 - (-9 - 4\\frac{2}{9})", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-15 - (-9 - 4\\frac{2}{9}))^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{1}{4} + (-15 - (-9 - 4\\frac{2}{9}))^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-8}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{1}{4} + (-15 - (-9 - 4\\frac{2}{9}))^2 + \\frac{6}{-8}", ["typ"] = "plus" }, ["render"] = "-8 + 2\\frac{1}{4} + (-15 - (-9 - 4\\frac{2}{9}))^2 + \\frac{6}{-8}", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.86, bodu=202, $$4 - (19 + 3\frac{3}{6} + 3\frac{1}{7}) \cdot -14 - (3\frac{1}{7} + 3\frac{2}{6})=\textcolor{white}{356\frac{11}{21}}$$return { ["body"] = 202, ["id"] = "HFes7o_0601_2012", ["obtiznost"] = 1.66, ["reseni"] = { ["float"] = 356.52380952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7487, ["jmenovatel"] = 21 }, ["render"] = "\\frac{7487}{21}", ["typ"] = "cislo" }, ["tex"] = "356\\frac{11}{21}", ["x"] = 356, ["y"] = 11, ["z"] = 21 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "19 + 3\\frac{3}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "19 + 3\\frac{3}{6} + 3\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "(19 + 3\\frac{3}{6} + 3\\frac{1}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(19 + 3\\frac{3}{6} + 3\\frac{1}{7}) \\cdot -14", ["typ"] = "krat" }, ["render"] = "4 - (19 + 3\\frac{3}{6} + 3\\frac{1}{7}) \\cdot -14", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{7} + 3\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{7} + 3\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "4 - (19 + 3\\frac{3}{6} + 3\\frac{1}{7}) \\cdot -14 - (3\\frac{1}{7} + 3\\frac{2}{6})", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.87, bodu=122, $$-20 + \frac{-13}{3\frac{5}{14}} - (-13) - (18 + 13 - 16)^2=\textcolor{white}{-235\frac{41}{47}}$$return { ["body"] = 122, ["id"] = "JiDeLp_0601_2012", ["obtiznost"] = 1.1604, ["reseni"] = { ["float"] = -235.87234042553, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11086, ["jmenovatel"] = 47 }, ["render"] = "\\frac{-11086}{47}", ["typ"] = "cislo" }, ["tex"] = "-235\\frac{41}{47}", ["x"] = -235, ["y"] = 41, ["z"] = 47 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{3\\frac{5}{14}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{3\\frac{5}{14}} - (-13)", ["typ"] = "minus" }, ["render"] = "-20 + \\frac{-13}{3\\frac{5}{14}} - (-13)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "18 + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "18 + 13 - 16", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(18 + 13 - 16)^2", ["typ"] = "mocnina" }, ["render"] = "-20 + \\frac{-13}{3\\frac{5}{14}} - (-13) - (18 + 13 - 16)^2", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.88, bodu=205, $$1\frac{2}{6} - 4\frac{2}{8} - \frac{4\frac{1}{10}}{16 + 4\frac{1}{4} + (-15 + (-11))}=\textcolor{white}{-2\frac{281}{1380}}$$return { ["body"] = 205, ["id"] = "jqK3fI_0601_2012", ["obtiznost"] = 1.68, ["reseni"] = { ["float"] = -2.2036231884058, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3041, ["jmenovatel"] = 1380 }, ["render"] = "\\frac{-3041}{1380}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{281}{1380}", ["x"] = -2, ["y"] = 281, ["z"] = 1380 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} - 4\\frac{2}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "16 + 4\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-15 + (-11)", ["typ"] = "plus" }, ["render"] = "16 + 4\\frac{1}{4} + (-15 + (-11))", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{1}{10}}{16 + 4\\frac{1}{4} + (-15 + (-11))}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{6} - 4\\frac{2}{8} - \\frac{4\\frac{1}{10}}{16 + 4\\frac{1}{4} + (-15 + (-11))}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.89, bodu=141, $$17 - (2\frac{4}{10} - (-7 \cdot -10)) \cdot (17 + 1\frac{3}{5})=\textcolor{white}{1274{,}36}$$return { ["body"] = 141, ["id"] = "2u2iue_0601_2012", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = 1274.36, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31859, ["jmenovatel"] = 25 }, ["render"] = "\\frac{31859}{25}", ["typ"] = "cislo" }, ["tex"] = "1274\\frac{9}{25}", ["tex_float"] = "1274{,}36", ["x"] = 1274, ["y"] = 9, ["z"] = 25 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.89", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -10", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{10} - (-7 \\cdot -10)", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{10} - (-7 \\cdot -10))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "17 + 1\\frac{3}{5}", ["typ"] = "plus" }, ["render"] = "(17 + 1\\frac{3}{5})", ["typ"] = "zavorka" }, ["render"] = "(2\\frac{4}{10} - (-7 \\cdot -10)) \\cdot (17 + 1\\frac{3}{5})", ["typ"] = "krat" }, ["render"] = "17 - (2\\frac{4}{10} - (-7 \\cdot -10)) \\cdot (17 + 1\\frac{3}{5})", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.9, bodu=209, $$\frac{9}{3\frac{3}{9}} \cdot (\frac{4\frac{5}{7}}{3\frac{1}{6}} + 3\frac{1}{8}) + (-24)=\textcolor{white}{-11\frac{5777}{10640}}$$return { ["body"] = 209, ["id"] = "LSEHaS_0601_2012", ["obtiznost"] = 1.7, ["reseni"] = { ["float"] = -11.54295112782, ["objekt"] = { ["hodnota"] = { ["citatel"] = -122817, ["jmenovatel"] = 10640 }, ["render"] = "\\frac{-122817}{10640}", ["typ"] = "cislo" }, ["tex"] = "-11\\frac{5777}{10640}", ["x"] = -11, ["y"] = 5777, ["z"] = 10640 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3\\frac{3}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{7}}{3\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{7}}{3\\frac{1}{6}} + 3\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "(\\frac{4\\frac{5}{7}}{3\\frac{1}{6}} + 3\\frac{1}{8})", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{3\\frac{3}{9}} \\cdot (\\frac{4\\frac{5}{7}}{3\\frac{1}{6}} + 3\\frac{1}{8})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -24, ["jmenovatel"] = 1 }, ["render"] = "-24", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3\\frac{3}{9}} \\cdot (\\frac{4\\frac{5}{7}}{3\\frac{1}{6}} + 3\\frac{1}{8}) + (-24)", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.91, bodu=211, $$(10 - (-12) + 4\frac{2}{9}) \cdot (1\frac{3}{5} + 3\frac{3}{10}) \cdot (-13 + 3\frac{5}{7} + 13)=\textcolor{white}{477\frac{11}{45}}$$return { ["body"] = 211, ["id"] = "arICr4_0601_2012", ["obtiznost"] = 1.71, ["reseni"] = { ["float"] = 477.24444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21476, ["jmenovatel"] = 45 }, ["render"] = "\\frac{21476}{45}", ["typ"] = "cislo" }, ["tex"] = "477\\frac{11}{45}", ["x"] = 477, ["y"] = 11, ["z"] = 45 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.91", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "10 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "10 - (-12) + 4\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "(10 - (-12) + 4\\frac{2}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{5} + 3\\frac{3}{10}", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{5} + 3\\frac{3}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["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"] = "plus" }, ["render"] = "-13 + 3\\frac{5}{7} + 13", ["typ"] = "plus" }, ["render"] = "(-13 + 3\\frac{5}{7} + 13)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{3}{5} + 3\\frac{3}{10}) \\cdot (-13 + 3\\frac{5}{7} + 13)", ["typ"] = "krat" }, ["render"] = "(10 - (-12) + 4\\frac{2}{9}) \\cdot (1\\frac{3}{5} + 3\\frac{3}{10}) \\cdot (-13 + 3\\frac{5}{7} + 13)", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.92, bodu=146, $$\frac{-19}{5} - ((4\frac{1}{2} - (-14)) \cdot 3\frac{1}{5} - 17)=\textcolor{white}{-46}$$return { ["body"] = 146, ["id"] = "SWh4xX_0601_2012", ["obtiznost"] = 1.32, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -46, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-230}{5}", ["typ"] = "cislo" }, ["tex"] = "-46", ["x"] = -46 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-19}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{2} - (-14)", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{2} - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{2} - (-14)) \\cdot 3\\frac{1}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{2} - (-14)) \\cdot 3\\frac{1}{5} - 17", ["typ"] = "minus" }, ["render"] = "((4\\frac{1}{2} - (-14)) \\cdot 3\\frac{1}{5} - 17)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-19}{5} - ((4\\frac{1}{2} - (-14)) \\cdot 3\\frac{1}{5} - 17)", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.93, bodu=215, $$\frac{(\frac{-15}{17})^2 - 3\frac{1}{9}}{2\frac{3}{12} \cdot -17} + 1\frac{5}{8}=\textcolor{white}{1\frac{2183909}{3183624}}$$return { ["body"] = 215, ["id"] = "Ya9zSB_0601_2012", ["obtiznost"] = 1.7356, ["reseni"] = { ["float"] = 1.6859820757728, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5367533, ["jmenovatel"] = 3183624 }, ["render"] = "\\frac{5367533}{3183624}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{2183909}{3183624}", ["x"] = 1, ["y"] = 2183909, ["z"] = 3183624 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-15}{17})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-15}{17})^2 - 3\\frac{1}{9}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{12} \\cdot -17", ["typ"] = "krat" }, ["render"] = "\\frac{(\\frac{-15}{17})^2 - 3\\frac{1}{9}}{2\\frac{3}{12} \\cdot -17}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-15}{17})^2 - 3\\frac{1}{9}}{2\\frac{3}{12} \\cdot -17} + 1\\frac{5}{8}", ["typ"] = "plus" } }

seed: e2shcBw6ptzYCybOmJew_0.94, bodu=172, $$-19 + (-12 \cdot 1\frac{1}{4})^2 - \frac{(12 - 7)^3}{3\frac{2}{6}}=\textcolor{white}{168{,}5}$$return { ["body"] = 172, ["id"] = "gFsDqu_0601_2012", ["obtiznost"] = 1.4808, ["reseni"] = { ["float"] = 168.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 337, ["jmenovatel"] = 2 }, ["render"] = "\\frac{337}{2}", ["typ"] = "cislo" }, ["tex"] = "168\\frac{1}{2}", ["tex_float"] = "168{,}5", ["x"] = 168, ["y"] = 1, ["z"] = 2 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 1\\frac{1}{4}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(-12 \\cdot 1\\frac{1}{4})^2", ["typ"] = "mocnina" }, ["render"] = "-19 + (-12 \\cdot 1\\frac{1}{4})^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "12 - 7", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(12 - 7)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{(12 - 7)^3}{3\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "-19 + (-12 \\cdot 1\\frac{1}{4})^2 - \\frac{(12 - 7)^3}{3\\frac{2}{6}}", ["typ"] = "minus" } }

seed: e2shcBw6ptzYCybOmJew_0.95, bodu=218, $$(-19 + 1\frac{1}{10} - 3\frac{5}{15}) \cdot (4\frac{1}{4} + (-9) - 1\frac{3}{8}) \cdot 15=\textcolor{white}{1950\frac{13}{16}}$$return { ["body"] = 218, ["id"] = "hDeZOc_0601_2012", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 1950.8125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31213, ["jmenovatel"] = 16 }, ["render"] = "\\frac{468195}{240}", ["typ"] = "cislo" }, ["tex"] = "1950\\frac{13}{16}", ["x"] = 1950, ["y"] = 13, ["z"] = 16 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.95", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "-19 + 1\\frac{1}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{5}{15}", ["typ"] = "cislo" }, ["render"] = "-19 + 1\\frac{1}{10} - 3\\frac{5}{15}", ["typ"] = "minus" }, ["render"] = "(-19 + 1\\frac{1}{10} - 3\\frac{5}{15})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} + (-9) - 1\\frac{3}{8}", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{4} + (-9) - 1\\frac{3}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{4} + (-9) - 1\\frac{3}{8}) \\cdot 15", ["typ"] = "krat" }, ["render"] = "(-19 + 1\\frac{1}{10} - 3\\frac{5}{15}) \\cdot (4\\frac{1}{4} + (-9) - 1\\frac{3}{8}) \\cdot 15", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.96, bodu=152, $$3\frac{1}{11} \cdot \frac{20}{-13} \cdot \frac{2\frac{2}{2}}{2\frac{5}{8}}=\textcolor{white}{-5\frac{435}{1001}}$$return { ["body"] = 152, ["id"] = "gO7lUa_0601_2012", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = -5.4345654345654, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5440, ["jmenovatel"] = 1001 }, ["render"] = "\\frac{-5440}{1001}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{435}{1001}", ["x"] = -5, ["y"] = 435, ["z"] = 1001 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 34, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{-13}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{11} \\cdot \\frac{20}{-13}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{2}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{2}}{2\\frac{5}{8}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{11} \\cdot \\frac{20}{-13} \\cdot \\frac{2\\frac{2}{2}}{2\\frac{5}{8}}", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.97, bodu=187, $$22 \cdot (\frac{-9}{2\frac{4}{8}} + 3\frac{3}{14} \cdot (2\frac{3}{9} + (-12)))=\textcolor{white}{-762\frac{27}{35}}$$return { ["body"] = 187, ["id"] = "pgjjaV_0601_2012", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -762.77142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -26697, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-53394}{70}", ["typ"] = "cislo" }, ["tex"] = "-762\\frac{27}{35}", ["x"] = -762, ["y"] = 27, ["z"] = 35 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{2\\frac{4}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + (-12)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{9} + (-12))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{3}{14} \\cdot (2\\frac{3}{9} + (-12))", ["typ"] = "krat" }, ["render"] = "\\frac{-9}{2\\frac{4}{8}} + 3\\frac{3}{14} \\cdot (2\\frac{3}{9} + (-12))", ["typ"] = "plus" }, ["render"] = "(\\frac{-9}{2\\frac{4}{8}} + 3\\frac{3}{14} \\cdot (2\\frac{3}{9} + (-12)))", ["typ"] = "zavorka" }, ["render"] = "22 \\cdot (\\frac{-9}{2\\frac{4}{8}} + 3\\frac{3}{14} \\cdot (2\\frac{3}{9} + (-12)))", ["typ"] = "krat" } }

seed: e2shcBw6ptzYCybOmJew_0.98, bodu=223, $$\frac{-13 + 1\frac{4}{12} - (14 - 1\frac{2}{10})}{1\frac{5}{6} + 1\frac{5}{14} + 12 + 19}=\textcolor{white}{-\frac{2569}{3590}}$$return { ["body"] = 223, ["id"] = "cIwZ3Y_0601_2012", ["obtiznost"] = 1.78, ["reseni"] = { ["float"] = -0.71559888579387, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2569, ["jmenovatel"] = 3590 }, ["render"] = "\\frac{-7707}{10770}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2569}{3590}", ["y"] = -2569, ["z"] = 3590 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "-13 + 1\\frac{4}{12}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "14 - 1\\frac{2}{10}", ["typ"] = "minus" }, ["render"] = "(14 - 1\\frac{2}{10})", ["typ"] = "zavorka" }, ["render"] = "-13 + 1\\frac{4}{12} - (14 - 1\\frac{2}{10})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 14 }, ["render"] = "1\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} + 1\\frac{5}{14}", ["typ"] = "plus" }, ["c2"] = { ["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" }, ["render"] = "1\\frac{5}{6} + 1\\frac{5}{14} + 12 + 19", ["typ"] = "plus" }, ["render"] = "\\frac{-13 + 1\\frac{4}{12} - (14 - 1\\frac{2}{10})}{1\\frac{5}{6} + 1\\frac{5}{14} + 12 + 19}", ["typ"] = "lomeno" } }

seed: e2shcBw6ptzYCybOmJew_0.99, bodu=190, $$\frac{1\frac{4}{10} + (-18)}{\frac{2\frac{4}{10}}{1\frac{4}{11} + 13}} + (-5) + 16=\textcolor{white}{-88\frac{23}{66}}$$return { ["body"] = 190, ["id"] = "haOkt1_0601_2012", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = -88.348484848485, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5831, ["jmenovatel"] = 66 }, ["render"] = "\\frac{-5831}{66}", ["typ"] = "cislo" }, ["tex"] = "-88\\frac{23}{66}", ["x"] = -88, ["y"] = 23, ["z"] = 66 }, ["seed"] = "e2shcBw6ptzYCybOmJew_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} + (-18)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} + 13", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{4}{10}}{1\\frac{4}{11} + 13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{4}{10} + (-18)}{\\frac{2\\frac{4}{10}}{1\\frac{4}{11} + 13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10} + (-18)}{\\frac{2\\frac{4}{10}}{1\\frac{4}{11} + 13}} + (-5)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10} + (-18)}{\\frac{2\\frac{4}{10}}{1\\frac{4}{11} + 13}} + (-5) + 16", ["typ"] = "plus" } }

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