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Nahodny test, priklady s rostouci obtiznosti...

seed: t2sww6rLI9PFgvIzVsyf_0, bodu=5, $$(8 - (11 + 7))^2 - 7=\textcolor{white}{93}$$return { ["body"] = 5, ["id"] = "BMAm1E_1004_2254", ["obtiznost"] = 0.0404, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 93, ["jmenovatel"] = 1 }, ["render"] = "\\frac{93}{1}", ["typ"] = "cislo" }, ["tex"] = "93", ["x"] = 93 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "11 + 7", ["typ"] = "plus" }, ["render"] = "(11 + 7)", ["typ"] = "zavorka" }, ["render"] = "8 - (11 + 7)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - (11 + 7))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(8 - (11 + 7))^2 - 7", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.01, bodu=5, $$8 - 9 + 8 + 6 + 7=\textcolor{white}{20}$$return { ["body"] = 5, ["id"] = "BwlsFG_1004_2254", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "\\frac{20}{1}", ["typ"] = "cislo" }, ["tex"] = "20", ["x"] = 20 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 - 9", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 + 7", ["typ"] = "plus" }, ["render"] = "8 + 6 + 7", ["typ"] = "plus" }, ["render"] = "8 - 9 + 8 + 6 + 7", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.02, bodu=5, $$7 - (7 \cdot 6 + 6)=\textcolor{white}{-41}$$return { ["body"] = 5, ["id"] = "aQElrv_1004_2254", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -41, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-41}{1}", ["typ"] = "cislo" }, ["tex"] = "-41", ["tex_float"] = "-41", ["x"] = -41 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.02", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 6 + 6", ["typ"] = "plus" }, ["render"] = "(7 \\cdot 6 + 6)", ["typ"] = "zavorka" }, ["render"] = "7 - (7 \\cdot 6 + 6)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.03, bodu=19, $$6 \cdot (1\frac{4}{7} - (4 - 9))=\textcolor{white}{39\frac{3}{7}}$$return { ["body"] = 19, ["id"] = "DEyE6t_1004_2254", ["obtiznost"] = 0.23, ["reseni"] = { ["float"] = 39.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 276, ["jmenovatel"] = 7 }, ["render"] = "\\frac{276}{7}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{3}{7}", ["x"] = 39, ["y"] = 3, ["z"] = 7 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4 - 9", ["typ"] = "minus" }, ["render"] = "(4 - 9)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{7} - (4 - 9)", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{7} - (4 - 9))", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (1\\frac{4}{7} - (4 - 9))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.04, bodu=10, $$5 \cdot \frac{-7}{8}=\textcolor{white}{-4{,}375}$$return { ["body"] = 10, ["id"] = "Ba08d1_1004_2254", ["obtiznost"] = 0.04, ["reseni"] = { ["float"] = -4.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-35}{8}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{3}{8}", ["tex_float"] = "-4{,}375", ["x"] = -4, ["y"] = 3, ["z"] = 8 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{8}", ["typ"] = "lomeno" }, ["render"] = "5 \\cdot \\frac{-7}{8}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.05, bodu=11, $$9 - (\frac{-7}{9} - 7)=\textcolor{white}{16\frac{7}{9}}$$return { ["body"] = 11, ["id"] = "EgpA9f_1004_2254", ["obtiznost"] = 0.05, ["reseni"] = { ["float"] = 16.777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 151, ["jmenovatel"] = 9 }, ["render"] = "\\frac{151}{9}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{7}{9}", ["x"] = 16, ["y"] = 7, ["z"] = 9 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{9} - 7", ["typ"] = "minus" }, ["render"] = "(\\frac{-7}{9} - 7)", ["typ"] = "zavorka" }, ["render"] = "9 - (\\frac{-7}{9} - 7)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.06, bodu=11, $$\frac{-10 - 4}{\frac{9}{3}}=\textcolor{white}{-4\frac{2}{3}}$$return { ["body"] = 11, ["id"] = "l0iZTV_1004_2254", ["obtiznost"] = 0.06, ["reseni"] = { ["float"] = -4.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-14}{3}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{2}{3}", ["x"] = -4, ["y"] = 2, ["z"] = 3 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-10 - 4", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-10 - 4}{\\frac{9}{3}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.07, bodu=13, $$(\frac{\frac{12}{11}}{6})^2=\textcolor{white}{\frac{4}{121}}$$return { ["body"] = 13, ["id"] = "BlsE70_1004_2254", ["obtiznost"] = 0.12, ["reseni"] = { ["float"] = 0.033057851239669, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 121 }, ["render"] = "\\frac{4}{121}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{121}", ["y"] = 4, ["z"] = 121 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.07", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{12}{11}}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{\\frac{12}{11}}{6})^2", ["typ"] = "mocnina" } }

seed: t2sww6rLI9PFgvIzVsyf_0.08, bodu=12, $$\frac{4 \cdot 4}{6}=\textcolor{white}{2\frac{2}{3}}$$return { ["body"] = 12, ["id"] = "WqjeyW_1004_2254", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 2.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "\\frac{16}{6}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{2}{3}", ["x"] = 2, ["y"] = 2, ["z"] = 3 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{4 \\cdot 4}{6}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.09, bodu=6, $$(8 + 8 - 4) \cdot 8=\textcolor{white}{96}$$return { ["body"] = 6, ["id"] = "zoHMqI_1004_2254", ["obtiznost"] = 0.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 96, ["jmenovatel"] = 1 }, ["render"] = "\\frac{96}{1}", ["typ"] = "cislo" }, ["tex"] = "96", ["tex_float"] = "96", ["x"] = 96 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.09", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 + 8 - 4", ["typ"] = "minus" }, ["render"] = "(8 + 8 - 4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(8 + 8 - 4) \\cdot 8", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.1, bodu=24, $$4 \cdot (1\frac{2}{6} - 5) + 9=\textcolor{white}{-5\frac{2}{3}}$$return { ["body"] = 24, ["id"] = "UDBhOO_1004_2254", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = -5.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-17}{3}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{2}{3}", ["x"] = -5, ["y"] = 2, ["z"] = 3 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} - 5", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{6} - 5)", ["typ"] = "zavorka" }, ["render"] = "4 \\cdot (1\\frac{2}{6} - 5)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4 \\cdot (1\\frac{2}{6} - 5) + 9", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.11, bodu=25, $$1\frac{3}{7} \cdot 7 \cdot (5 - 6)^3=\textcolor{white}{-10}$$return { ["body"] = 25, ["id"] = "jY3HHg_1004_2254", ["obtiznost"] = 0.3108, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-10}{1}", ["typ"] = "cislo" }, ["tex"] = "-10", ["x"] = -10 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{7} \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 - 6", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(5 - 6)^3", ["typ"] = "mocnina" }, ["render"] = "1\\frac{3}{7} \\cdot 7 \\cdot (5 - 6)^3", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.12, bodu=13, $$\frac{6 \cdot 4}{9}=\textcolor{white}{2\frac{2}{3}}$$return { ["body"] = 13, ["id"] = "EsMDz6_1004_2254", ["obtiznost"] = 0.12, ["reseni"] = { ["float"] = 2.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "\\frac{24}{9}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{2}{3}", ["x"] = 2, ["y"] = 2, ["z"] = 3 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6 \\cdot 4}{9}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.13, bodu=12, $$11 \cdot (4 - (-11 - 9)^2)=\textcolor{white}{-4356}$$return { ["body"] = 12, ["id"] = "HY8NPu_1004_2254", ["obtiznost"] = 0.2904, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -4356, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-4356}{1}", ["typ"] = "cislo" }, ["tex"] = "-4356", ["tex_float"] = "-4356", ["x"] = -4356 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "4 - (-11 - 9)^2", ["typ"] = "minus" }, ["render"] = "(4 - (-11 - 9)^2)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (4 - (-11 - 9)^2)", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.14, bodu=27, $$10 + \frac{-8}{1\frac{1}{5} - (-10)}=\textcolor{white}{9\frac{2}{7}}$$return { ["body"] = 27, ["id"] = "3c7G16_1004_2254", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = 9.2857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 7 }, ["render"] = "\\frac{65}{7}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{2}{7}", ["x"] = 9, ["y"] = 2, ["z"] = 7 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} - (-10)", ["typ"] = "minus" }, ["render"] = "\\frac{-8}{1\\frac{1}{5} - (-10)}", ["typ"] = "lomeno" }, ["render"] = "10 + \\frac{-8}{1\\frac{1}{5} - (-10)}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.15, bodu=8, $$((2 + 6)^2 + 8) \cdot 9=\textcolor{white}{648}$$return { ["body"] = 8, ["id"] = "9sJdAE_1004_2254", ["obtiznost"] = 0.176, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 648, ["jmenovatel"] = 1 }, ["render"] = "\\frac{648}{1}", ["typ"] = "cislo" }, ["tex"] = "648", ["tex_float"] = "648", ["x"] = 648 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.15", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "2 + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(2 + 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(2 + 6)^2 + 8", ["typ"] = "plus" }, ["render"] = "((2 + 6)^2 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "((2 + 6)^2 + 8) \\cdot 9", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.16, bodu=30, $$4\frac{4}{7} + (\frac{9 + 9}{6})^3=\textcolor{white}{31\frac{4}{7}}$$return { ["body"] = 30, ["id"] = "tZudFJ_1004_2254", ["obtiznost"] = 0.3712, ["reseni"] = { ["float"] = 31.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 221, ["jmenovatel"] = 7 }, ["render"] = "\\frac{221}{7}", ["typ"] = "cislo" }, ["tex"] = "31\\frac{4}{7}", ["x"] = 31, ["y"] = 4, ["z"] = 7 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 9}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{9 + 9}{6})^3", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{7} + (\\frac{9 + 9}{6})^3", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.17, bodu=30, $$\frac{7}{\frac{2\frac{1}{6}}{7} + (-9)}=\textcolor{white}{-\frac{294}{365}}$$return { ["body"] = 30, ["id"] = "hAUPFI_1004_2254", ["obtiznost"] = 0.37, ["reseni"] = { ["float"] = -0.80547945205479, ["objekt"] = { ["hodnota"] = { ["citatel"] = -294, ["jmenovatel"] = 365 }, ["render"] = "\\frac{294}{-365}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{294}{365}", ["y"] = -294, ["z"] = 365 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6}}{7} + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{7}{\\frac{2\\frac{1}{6}}{7} + (-9)}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.18, bodu=67, $$(\frac{4}{-8} - 1\frac{2}{8})^3 \cdot 4\frac{4}{8}=\textcolor{white}{-24\frac{15}{128}}$$return { ["body"] = 67, ["id"] = "5HVJq4_1004_2254", ["obtiznost"] = 0.7428, ["reseni"] = { ["float"] = -24.1171875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3087, ["jmenovatel"] = 128 }, ["render"] = "\\frac{-3087}{128}", ["typ"] = "cislo" }, ["tex"] = "-24\\frac{15}{128}", ["x"] = -24, ["y"] = 15, ["z"] = 128 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.18", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{-8} - 1\\frac{2}{8}", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(\\frac{4}{-8} - 1\\frac{2}{8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{-8} - 1\\frac{2}{8})^3 \\cdot 4\\frac{4}{8}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.19, bodu=50, $$1\frac{1}{5} \cdot -5 \cdot 3\frac{5}{7}=\textcolor{white}{-22\frac{2}{7}}$$return { ["body"] = 50, ["id"] = "RDS90H_1004_2254", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = -22.285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -156, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-780}{35}", ["typ"] = "cislo" }, ["tex"] = "-22\\frac{2}{7}", ["x"] = -22, ["y"] = 2, ["z"] = 7 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 3\\frac{5}{7}", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{5} \\cdot -5 \\cdot 3\\frac{5}{7}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.2, bodu=27, $$(8 - \frac{12}{6} + 12)^2 - (-7)=\textcolor{white}{331}$$return { ["body"] = 27, ["id"] = "ggVsdb_1004_2254", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 331, ["jmenovatel"] = 1 }, ["render"] = "\\frac{331}{1}", ["typ"] = "cislo" }, ["tex"] = "331", ["tex_float"] = "331", ["x"] = 331 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.2", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{6}", ["typ"] = "lomeno" }, ["render"] = "8 - \\frac{12}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 - \\frac{12}{6} + 12", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 - \\frac{12}{6} + 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(8 - \\frac{12}{6} + 12)^2 - (-7)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.21, bodu=9, $$(7 - 8) \cdot (12 - 11)=\textcolor{white}{-1}$$return { ["body"] = 9, ["id"] = "D9p1n6_1004_2254", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1}{1}", ["typ"] = "cislo" }, ["tex"] = "-1", ["x"] = -1 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.21", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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" }, ["render"] = "(7 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "12 - 11", ["typ"] = "minus" }, ["render"] = "(12 - 11)", ["typ"] = "zavorka" }, ["render"] = "(7 - 8) \\cdot (12 - 11)", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.22, bodu=19, $$\frac{-13}{7 - (9 + 8 - 8)}=\textcolor{white}{6{,}5}$$return { ["body"] = 19, ["id"] = "M0UyY6_1004_2254", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = 6.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-13}{-2}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1}{2}", ["tex_float"] = "6{,}5", ["x"] = 6, ["y"] = 1, ["z"] = 2 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8 - 8", ["typ"] = "minus" }, ["render"] = "(9 + 8 - 8)", ["typ"] = "zavorka" }, ["render"] = "7 - (9 + 8 - 8)", ["typ"] = "minus" }, ["render"] = "\\frac{-13}{7 - (9 + 8 - 8)}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.23, bodu=11, $$(10 - (7 - 8))^2 \cdot (9 + 11)=\textcolor{white}{2420}$$return { ["body"] = 11, ["id"] = "2t3sbV_1004_2254", ["obtiznost"] = 0.2788, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2420, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2420}{1}", ["typ"] = "cislo" }, ["tex"] = "2420", ["x"] = 2420 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.23", ["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"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 - 8", ["typ"] = "minus" }, ["render"] = "(7 - 8)", ["typ"] = "zavorka" }, ["render"] = "10 - (7 - 8)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(10 - (7 - 8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "9 + 11", ["typ"] = "plus" }, ["render"] = "(9 + 11)", ["typ"] = "zavorka" }, ["render"] = "(10 - (7 - 8))^2 \\cdot (9 + 11)", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.24, bodu=66, $$(7 + 11 + 5)^2 + (\frac{3}{5})^4=\textcolor{white}{529\frac{81}{625}}$$return { ["body"] = 66, ["id"] = "l4UZnO_1004_2254", ["obtiznost"] = 0.7344, ["reseni"] = { ["float"] = 529.1296, ["objekt"] = { ["hodnota"] = { ["citatel"] = 330706, ["jmenovatel"] = 625 }, ["render"] = "\\frac{330706}{625}", ["typ"] = "cislo" }, ["tex"] = "529\\frac{81}{625}", ["x"] = 529, ["y"] = 81, ["z"] = 625 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.24", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "7 + 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 11 + 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + 11 + 5)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{3}{5})^4", ["typ"] = "mocnina" }, ["render"] = "(7 + 11 + 5)^2 + (\\frac{3}{5})^4", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.25, bodu=21, $$\frac{-8 \cdot -8}{-12} \cdot 11=\textcolor{white}{-58\frac{2}{3}}$$return { ["body"] = 21, ["id"] = "K05xfy_1004_2254", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = -58.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -176, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-176}{3}", ["typ"] = "cislo" }, ["tex"] = "-58\\frac{2}{3}", ["x"] = -58, ["y"] = 2, ["z"] = 3 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 \\cdot -8}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 \\cdot -8}{-12} \\cdot 11", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.26, bodu=38, $$\frac{6 \cdot 2\frac{1}{4} \cdot 5}{9}=\textcolor{white}{7{,}5}$$return { ["body"] = 38, ["id"] = "2oXhCK_1004_2254", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = 7.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 2 }, ["render"] = "\\frac{135}{18}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{1}{2}", ["tex_float"] = "7{,}5", ["x"] = 7, ["y"] = 1, ["z"] = 2 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 2\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 2\\frac{1}{4} \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6 \\cdot 2\\frac{1}{4} \\cdot 5}{9}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.27, bodu=38, $$7 - (-11) + 11 + 14 \cdot 3\frac{1}{5}=\textcolor{white}{73{,}8}$$return { ["body"] = 38, ["id"] = "sYNbgG_1004_2254", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 73.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 369, ["jmenovatel"] = 5 }, ["render"] = "\\frac{369}{5}", ["typ"] = "cislo" }, ["tex"] = "73\\frac{4}{5}", ["tex_float"] = "73{,}8", ["x"] = 73, ["y"] = 4, ["z"] = 5 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "7 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "7 - (-11) + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 3\\frac{1}{5}", ["typ"] = "krat" }, ["render"] = "7 - (-11) + 11 + 14 \\cdot 3\\frac{1}{5}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.28, bodu=39, $$\frac{5}{\frac{5}{-10 + 2\frac{5}{10}}}=\textcolor{white}{-7{,}5}$$return { ["body"] = 39, ["id"] = "QEzFId_1004_2254", ["obtiznost"] = 0.48, ["reseni"] = { ["float"] = -7.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 2 }, ["render"] = "\\frac{15}{-2}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{1}{2}", ["tex_float"] = "-7{,}5", ["x"] = -7, ["y"] = 1, ["z"] = 2 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-10 + 2\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{5}{-10 + 2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{5}{\\frac{5}{-10 + 2\\frac{5}{10}}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.29, bodu=67, $$\frac{3\frac{1}{3} + (-8) + 3\frac{1}{5}}{(-4 - 7)^2}=\textcolor{white}{-\frac{2}{165}}$$return { ["body"] = 67, ["id"] = "WcjvWy_1004_2254", ["obtiznost"] = 0.7388, ["reseni"] = { ["float"] = -0.012121212121212, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 165 }, ["render"] = "\\frac{-22}{1815}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{165}", ["y"] = -2, ["z"] = 165 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} + (-8) + 3\\frac{1}{5}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-4 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-4 - 7)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{1}{3} + (-8) + 3\\frac{1}{5}}{(-4 - 7)^2}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.3, bodu=24, $$\frac{5 + 9}{6 \cdot 10}=\textcolor{white}{\frac{7}{30}}$$return { ["body"] = 24, ["id"] = "tnQXJN_1004_2254", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 0.23333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 30 }, ["render"] = "\\frac{14}{60}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{30}", ["y"] = 7, ["z"] = 30 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{5 + 9}{6 \\cdot 10}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.31, bodu=23, $$7 - (8 + (9 - 11)^4)^2 \cdot -11=\textcolor{white}{6343}$$return { ["body"] = 23, ["id"] = "zisbkY_1004_2254", ["obtiznost"] = 0.5476, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 6343, ["jmenovatel"] = 1 }, ["render"] = "\\frac{6343}{1}", ["typ"] = "cislo" }, ["tex"] = "6343", ["x"] = 6343 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "9 - 11", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(9 - 11)^4", ["typ"] = "mocnina" }, ["render"] = "8 + (9 - 11)^4", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 + (9 - 11)^4)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(8 + (9 - 11)^4)^2 \\cdot -11", ["typ"] = "krat" }, ["render"] = "7 - (8 + (9 - 11)^4)^2 \\cdot -11", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.32, bodu=48, $$10 + (-4 + 5 + (\frac{-5}{1\frac{1}{2}})^2)=\textcolor{white}{22\frac{1}{9}}$$return { ["body"] = 48, ["id"] = "EHCP4o_1004_2254", ["obtiznost"] = 0.5636, ["reseni"] = { ["float"] = 22.111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 199, ["jmenovatel"] = 9 }, ["render"] = "\\frac{199}{9}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{1}{9}", ["x"] = 22, ["y"] = 1, ["z"] = 9 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.32", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-4 + 5", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{1\\frac{1}{2}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-5}{1\\frac{1}{2}})^2", ["typ"] = "mocnina" }, ["render"] = "-4 + 5 + (\\frac{-5}{1\\frac{1}{2}})^2", ["typ"] = "plus" }, ["render"] = "10 + (-4 + 5 + (\\frac{-5}{1\\frac{1}{2}})^2)", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.33, bodu=66, $$9 - 4 + 6 \cdot 4\frac{4}{6} + 4\frac{3}{6}=\textcolor{white}{37{,}5}$$return { ["body"] = 66, ["id"] = "ZWFBBc_1004_2254", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = 37.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 75, ["jmenovatel"] = 2 }, ["render"] = "\\frac{75}{2}", ["typ"] = "cislo" }, ["tex"] = "37\\frac{1}{2}", ["tex_float"] = "37{,}5", ["x"] = 37, ["y"] = 1, ["z"] = 2 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "9 - 4", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{4}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{4}{6} + 4\\frac{3}{6}", ["typ"] = "plus" }, ["render"] = "9 - 4 + 6 \\cdot 4\\frac{4}{6} + 4\\frac{3}{6}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.34, bodu=45, $$\frac{-10 + 2\frac{1}{7}}{-7 - 15 + 13}=\textcolor{white}{\frac{55}{63}}$$return { ["body"] = 45, ["id"] = "CcPhWP_1004_2254", ["obtiznost"] = 0.54, ["reseni"] = { ["float"] = 0.87301587301587, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 63 }, ["render"] = "\\frac{-55}{-63}", ["typ"] = "cislo" }, ["tex"] = "\\frac{55}{63}", ["y"] = 55, ["z"] = 63 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-10 + 2\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["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"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-7 - 15 + 13", ["typ"] = "plus" }, ["render"] = "\\frac{-10 + 2\\frac{1}{7}}{-7 - 15 + 13}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.35, bodu=46, $$\frac{12}{12 - (4\frac{2}{5} - 9)}=\textcolor{white}{\frac{60}{83}}$$return { ["body"] = 46, ["id"] = "qSSMIZ_1004_2254", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = 0.72289156626506, ["objekt"] = { ["hodnota"] = { ["citatel"] = 60, ["jmenovatel"] = 83 }, ["render"] = "\\frac{60}{83}", ["typ"] = "cislo" }, ["tex"] = "\\frac{60}{83}", ["y"] = 60, ["z"] = 83 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} - 9", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{5} - 9)", ["typ"] = "zavorka" }, ["render"] = "12 - (4\\frac{2}{5} - 9)", ["typ"] = "minus" }, ["render"] = "\\frac{12}{12 - (4\\frac{2}{5} - 9)}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.36, bodu=47, $$\frac{8}{1\frac{5}{11}} \cdot -12 \cdot -10=\textcolor{white}{660}$$return { ["body"] = 47, ["id"] = "OsJ4z2_1004_2254", ["obtiznost"] = 0.56, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 660, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1320}{2}", ["typ"] = "cislo" }, ["tex"] = "660", ["x"] = 660 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -10", ["typ"] = "krat" }, ["render"] = "\\frac{8}{1\\frac{5}{11}} \\cdot -12 \\cdot -10", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.37, bodu=46, $$\frac{-4}{(12 + 9)^2} - (8 + (-15))=\textcolor{white}{6\frac{437}{441}}$$return { ["body"] = 46, ["id"] = "E6vGKo_1004_2254", ["obtiznost"] = 0.5468, ["reseni"] = { ["float"] = 6.9909297052154, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3083, ["jmenovatel"] = 441 }, ["render"] = "\\frac{3083}{441}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{437}{441}", ["x"] = 6, ["y"] = 437, ["z"] = 441 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-4}{(12 + 9)^2}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "8 + (-15)", ["typ"] = "plus" }, ["render"] = "(8 + (-15))", ["typ"] = "zavorka" }, ["render"] = "\\frac{-4}{(12 + 9)^2} - (8 + (-15))", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.38, bodu=15, $$5 \cdot (9 \cdot -10 - (-10))=\textcolor{white}{-400}$$return { ["body"] = 15, ["id"] = "LfSGYQ_1004_2254", ["obtiznost"] = 0.38, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -400, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-400}{1}", ["typ"] = "cislo" }, ["tex"] = "-400", ["x"] = -400 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -10 - (-10)", ["typ"] = "minus" }, ["render"] = "(9 \\cdot -10 - (-10))", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (9 \\cdot -10 - (-10))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.39, bodu=73, $$(1\frac{1}{6} - (12 + 2\frac{5}{9})) \cdot \frac{-8}{-5}=\textcolor{white}{-21\frac{19}{45}}$$return { ["body"] = 73, ["id"] = "SRUzP5_1004_2254", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -21.422222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -964, ["jmenovatel"] = 45 }, ["render"] = "\\frac{-1928}{90}", ["typ"] = "cislo" }, ["tex"] = "-21\\frac{19}{45}", ["x"] = -21, ["y"] = 19, ["z"] = 45 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.39", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "12 + 2\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "(12 + 2\\frac{5}{9})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} - (12 + 2\\frac{5}{9})", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{6} - (12 + 2\\frac{5}{9}))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-5}", ["typ"] = "lomeno" }, ["render"] = "(1\\frac{1}{6} - (12 + 2\\frac{5}{9})) \\cdot \\frac{-8}{-5}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.4, bodu=37, $$(\frac{(15 + (-14 + (-9))) \cdot -9}{6})^2=\textcolor{white}{144}$$return { ["body"] = 37, ["id"] = "7q2pu4_1004_2254", ["obtiznost"] = 0.458, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 144, ["jmenovatel"] = 1 }, ["render"] = "\\frac{144}{1}", ["typ"] = "cislo" }, ["tex"] = "144", ["tex_float"] = "144", ["x"] = 144 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.4", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-14 + (-9)", ["typ"] = "plus" }, ["render"] = "15 + (-14 + (-9))", ["typ"] = "plus" }, ["render"] = "(15 + (-14 + (-9)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(15 + (-14 + (-9))) \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{(15 + (-14 + (-9))) \\cdot -9}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{(15 + (-14 + (-9))) \\cdot -9}{6})^2", ["typ"] = "mocnina" } }

seed: t2sww6rLI9PFgvIzVsyf_0.41, bodu=75, $$-10 + \frac{-9}{\frac{9}{2\frac{4}{7}}} + 2\frac{3}{6}=\textcolor{white}{-10\frac{1}{14}}$$return { ["body"] = 75, ["id"] = "Ao7tlY_1004_2254", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -10.071428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -141, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-141}{14}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{1}{14}", ["x"] = -10, ["y"] = 1, ["z"] = 14 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{2\\frac{4}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-9}{\\frac{9}{2\\frac{4}{7}}}", ["typ"] = "lomeno" }, ["render"] = "-10 + \\frac{-9}{\\frac{9}{2\\frac{4}{7}}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-10 + \\frac{-9}{\\frac{9}{2\\frac{4}{7}}} + 2\\frac{3}{6}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.42, bodu=34, $$\frac{9}{10 \cdot -17 \cdot 9}=\textcolor{white}{-\frac{1}{170}}$$return { ["body"] = 34, ["id"] = "IDyXMG_1004_2254", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = -0.0058823529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 170 }, ["render"] = "\\frac{9}{-1530}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{170}", ["y"] = -1, ["z"] = 170 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -17 \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{9}{10 \\cdot -17 \\cdot 9}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.43, bodu=79, $$4\frac{5}{8} - (2\frac{5}{7} - (\frac{6}{-10})^2) \cdot 13=\textcolor{white}{-25\frac{1373}{1400}}$$return { ["body"] = 79, ["id"] = "yQjDxp_1004_2254", ["obtiznost"] = 0.8436, ["reseni"] = { ["float"] = -25.980714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -36373, ["jmenovatel"] = 1400 }, ["render"] = "\\frac{-36373}{1400}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{1373}{1400}", ["x"] = -25, ["y"] = 1373, ["z"] = 1400 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.43", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6}{-10})^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{5}{7} - (\\frac{6}{-10})^2", ["typ"] = "minus" }, ["render"] = "(2\\frac{5}{7} - (\\frac{6}{-10})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(2\\frac{5}{7} - (\\frac{6}{-10})^2) \\cdot 13", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{8} - (2\\frac{5}{7} - (\\frac{6}{-10})^2) \\cdot 13", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.44, bodu=155, $$4\frac{5}{10} \cdot 2\frac{2}{4} \cdot (12 - (14 - 4\frac{2}{6})^2)=\textcolor{white}{-916{,}25}$$return { ["body"] = 155, ["id"] = "iRdqV6_1004_2254", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -916.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3665, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-32985}{36}", ["typ"] = "cislo" }, ["tex"] = "-916\\frac{1}{4}", ["tex_float"] = "-916{,}25", ["x"] = -916, ["y"] = 1, ["z"] = 4 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} \\cdot 2\\frac{2}{4}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "14 - 4\\frac{2}{6}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(14 - 4\\frac{2}{6})^2", ["typ"] = "mocnina" }, ["render"] = "12 - (14 - 4\\frac{2}{6})^2", ["typ"] = "minus" }, ["render"] = "(12 - (14 - 4\\frac{2}{6})^2)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{10} \\cdot 2\\frac{2}{4} \\cdot (12 - (14 - 4\\frac{2}{6})^2)", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.45, bodu=106, $$3\frac{4}{11} - (12 + 3\frac{4}{8} \cdot 12) \cdot 4\frac{2}{4}=\textcolor{white}{-239\frac{7}{11}}$$return { ["body"] = 106, ["id"] = "xHhHgg_1004_2254", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -239.63636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2636, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-2636}{11}", ["typ"] = "cislo" }, ["tex"] = "-239\\frac{7}{11}", ["x"] = -239, ["y"] = 7, ["z"] = 11 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.45", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} \\cdot 12", ["typ"] = "krat" }, ["render"] = "12 + 3\\frac{4}{8} \\cdot 12", ["typ"] = "plus" }, ["render"] = "(12 + 3\\frac{4}{8} \\cdot 12)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "(12 + 3\\frac{4}{8} \\cdot 12) \\cdot 4\\frac{2}{4}", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{11} - (12 + 3\\frac{4}{8} \\cdot 12) \\cdot 4\\frac{2}{4}", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.46, bodu=38, $$\frac{8 \cdot 13 \cdot 4}{-4 + 3}=\textcolor{white}{-416}$$return { ["body"] = 38, ["id"] = "QLfMod_1004_2254", ["obtiznost"] = 0.46, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -416, ["jmenovatel"] = 1 }, ["render"] = "\\frac{416}{-1}", ["typ"] = "cislo" }, ["tex"] = "-416", ["x"] = -416 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 13 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-4 + 3", ["typ"] = "plus" }, ["render"] = "\\frac{8 \\cdot 13 \\cdot 4}{-4 + 3}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.47, bodu=38, $$14 \cdot \frac{-16}{10} \cdot -11=\textcolor{white}{246{,}4}$$return { ["body"] = 38, ["id"] = "7FW5s6_1004_2254", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 246.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1232, ["jmenovatel"] = 5 }, ["render"] = "\\frac{1232}{5}", ["typ"] = "cislo" }, ["tex"] = "246\\frac{2}{5}", ["tex_float"] = "246{,}4", ["x"] = 246, ["y"] = 2, ["z"] = 5 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{10} \\cdot -11", ["typ"] = "krat" }, ["render"] = "14 \\cdot \\frac{-16}{10} \\cdot -11", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.48, bodu=88, $$\frac{(\frac{7}{-6})^2}{-16} + 1\frac{1}{3} - 4\frac{5}{10}=\textcolor{white}{-3\frac{145}{576}}$$return { ["body"] = 88, ["id"] = "cFcmSK_1004_2254", ["obtiznost"] = 0.914, ["reseni"] = { ["float"] = -3.2517361111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1873, ["jmenovatel"] = 576 }, ["render"] = "\\frac{-11238}{3456}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{145}{576}", ["x"] = -3, ["y"] = 145, ["z"] = 576 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7}{-6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{7}{-6})^2}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} - 4\\frac{5}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{(\\frac{7}{-6})^2}{-16} + 1\\frac{1}{3} - 4\\frac{5}{10}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.49, bodu=62, $$\frac{\frac{2\frac{2}{6}}{10}}{(-9 + 5)^2} - (-12)=\textcolor{white}{12\frac{7}{480}}$$return { ["body"] = 62, ["id"] = "i1xMGp_1004_2254", ["obtiznost"] = 0.6968, ["reseni"] = { ["float"] = 12.014583333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5767, ["jmenovatel"] = 480 }, ["render"] = "\\frac{5767}{480}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{7}{480}", ["x"] = 12, ["y"] = 7, ["z"] = 480 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{6}}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-9 + 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 5)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{2\\frac{2}{6}}{10}}{(-9 + 5)^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{2}{6}}{10}}{(-9 + 5)^2} - (-12)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.5, bodu=62, $$13 - 3\frac{5}{11} - \frac{8}{8} - 15=\textcolor{white}{-6\frac{5}{11}}$$return { ["body"] = 62, ["id"] = "xDfMwM_1004_2254", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = -6.4545454545455, ["objekt"] = { ["hodnota"] = { ["citatel"] = -71, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-71}{11}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{5}{11}", ["x"] = -6, ["y"] = 5, ["z"] = 11 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "13 - 3\\frac{5}{11} - \\frac{8}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{5}{11} - \\frac{8}{8} - 15", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.51, bodu=21, $$-3 \cdot 15 + (-12) + (-10 \cdot 10)=\textcolor{white}{-157}$$return { ["body"] = 21, ["id"] = "KMuMTq_1004_2254", ["obtiznost"] = 0.51, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -157, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-157}{1}", ["typ"] = "cislo" }, ["tex"] = "-157", ["x"] = -157 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot 15 + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 10", ["typ"] = "krat" }, ["render"] = "-3 \\cdot 15 + (-12) + (-10 \\cdot 10)", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.52, bodu=89, $$\frac{-7 \cdot 5}{1\frac{5}{8}} - (1\frac{2}{5} + 5)=\textcolor{white}{-27\frac{61}{65}}$$return { ["body"] = 89, ["id"] = "V7blwB_1004_2254", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = -27.938461538462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1816, ["jmenovatel"] = 65 }, ["render"] = "\\frac{-1816}{65}", ["typ"] = "cislo" }, ["tex"] = "-27\\frac{61}{65}", ["x"] = -27, ["y"] = 61, ["z"] = 65 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-7 \\cdot 5}{1\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} + 5", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{5} + 5)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-7 \\cdot 5}{1\\frac{5}{8}} - (1\\frac{2}{5} + 5)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.53, bodu=90, $$\frac{1\frac{5}{9} \cdot 10}{9 + 1\frac{5}{7} - 12}=\textcolor{white}{-12\frac{8}{81}}$$return { ["body"] = 90, ["id"] = "vJSgpH_1004_2254", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = -12.098765432099, ["objekt"] = { ["hodnota"] = { ["citatel"] = -980, ["jmenovatel"] = 81 }, ["render"] = "\\frac{980}{-81}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{8}{81}", ["x"] = -12, ["y"] = 8, ["z"] = 81 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "9 + 1\\frac{5}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 + 1\\frac{5}{7} - 12", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{5}{9} \\cdot 10}{9 + 1\\frac{5}{7} - 12}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.54, bodu=116, $$\frac{(11 + 10)^2 - (3\frac{5}{7} - 3\frac{4}{11})}{-6}=\textcolor{white}{-73\frac{34}{77}}$$return { ["body"] = 116, ["id"] = "HuO1TL_1004_2254", ["obtiznost"] = 1.1168, ["reseni"] = { ["float"] = -73.441558441558, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5655, ["jmenovatel"] = 77 }, ["render"] = "\\frac{33930}{-462}", ["typ"] = "cislo" }, ["tex"] = "-73\\frac{34}{77}", ["x"] = -73, ["y"] = 34, ["z"] = 77 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "11 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(11 + 10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{7} - 3\\frac{4}{11}", ["typ"] = "minus" }, ["render"] = "(3\\frac{5}{7} - 3\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "(11 + 10)^2 - (3\\frac{5}{7} - 3\\frac{4}{11})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{(11 + 10)^2 - (3\\frac{5}{7} - 3\\frac{4}{11})}{-6}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.55, bodu=120, $$(11 + \frac{11}{10 - 1\frac{3}{4}}) \cdot (3\frac{4}{9} + 3\frac{4}{9})=\textcolor{white}{84\frac{26}{27}}$$return { ["body"] = 120, ["id"] = "pW0WFR_1004_2254", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 84.962962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2294, ["jmenovatel"] = 27 }, ["render"] = "\\frac{2294}{27}", ["typ"] = "cislo" }, ["tex"] = "84\\frac{26}{27}", ["x"] = 84, ["y"] = 26, ["z"] = 27 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "10 - 1\\frac{3}{4}", ["typ"] = "minus" }, ["render"] = "\\frac{11}{10 - 1\\frac{3}{4}}", ["typ"] = "lomeno" }, ["render"] = "11 + \\frac{11}{10 - 1\\frac{3}{4}}", ["typ"] = "plus" }, ["render"] = "(11 + \\frac{11}{10 - 1\\frac{3}{4}})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + 3\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{9} + 3\\frac{4}{9})", ["typ"] = "zavorka" }, ["render"] = "(11 + \\frac{11}{10 - 1\\frac{3}{4}}) \\cdot (3\\frac{4}{9} + 3\\frac{4}{9})", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.56, bodu=50, $$\frac{(14 - 6)^2}{10} - (-15 + (-11))=\textcolor{white}{32{,}4}$$return { ["body"] = 50, ["id"] = "UA8lTE_1004_2254", ["obtiznost"] = 0.586, ["reseni"] = { ["float"] = 32.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 162, ["jmenovatel"] = 5 }, ["render"] = "\\frac{162}{5}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{2}{5}", ["tex_float"] = "32{,}4", ["x"] = 32, ["y"] = 2, ["z"] = 5 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "14 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(14 - 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{(14 - 6)^2}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["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"] = "(-15 + (-11))", ["typ"] = "zavorka" }, ["render"] = "\\frac{(14 - 6)^2}{10} - (-15 + (-11))", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.57, bodu=48, $$\frac{\frac{\frac{14}{-11} + 18}{11}}{6}=\textcolor{white}{\frac{92}{363}}$$return { ["body"] = 48, ["id"] = "8N9iWx_1004_2254", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = 0.2534435261708, ["objekt"] = { ["hodnota"] = { ["citatel"] = 92, ["jmenovatel"] = 363 }, ["render"] = "\\frac{184}{726}", ["typ"] = "cislo" }, ["tex"] = "\\frac{92}{363}", ["y"] = 92, ["z"] = 363 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-11} + 18", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{14}{-11} + 18}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{14}{-11} + 18}{11}}{6}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.58, bodu=155, $$-18 \cdot (3\frac{5}{7} - (3\frac{2}{10} + 1\frac{3}{8} - 2\frac{2}{7}))=\textcolor{white}{-25{,}65}$$return { ["body"] = 155, ["id"] = "Tb0FQV_1004_2254", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -25.65, ["objekt"] = { ["hodnota"] = { ["citatel"] = -513, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-1026}{40}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{13}{20}", ["tex_float"] = "-25{,}65", ["x"] = -25, ["y"] = 13, ["z"] = 20 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.58", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} - 2\\frac{2}{7}", ["typ"] = "minus" }, ["render"] = "3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7})", ["typ"] = "minus" }, ["render"] = "(3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}))", ["typ"] = "zavorka" }, ["render"] = "-18 \\cdot (3\\frac{5}{7} - (3\\frac{2}{10} + 1\\frac{3}{8} - 2\\frac{2}{7}))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.59, bodu=32, $$10 - (13 - (-5))^2 - (10 - (-16))=\textcolor{white}{-340}$$return { ["body"] = 32, ["id"] = "8Bg89e_1004_2254", ["obtiznost"] = 0.72, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -340, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-340}{1}", ["typ"] = "cislo" }, ["tex"] = "-340", ["tex_float"] = "-340", ["x"] = -340 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "13 - (-5)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - (-5))^2", ["typ"] = "mocnina" }, ["render"] = "10 - (13 - (-5))^2", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "10 - (-16)", ["typ"] = "minus" }, ["render"] = "(10 - (-16))", ["typ"] = "zavorka" }, ["render"] = "10 - (13 - (-5))^2 - (10 - (-16))", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.6, bodu=100, $$\frac{\frac{8}{1\frac{3}{8} - (-15)}}{13 - (14 + 1\frac{2}{3})}=\textcolor{white}{-\frac{24}{131}}$$return { ["body"] = 100, ["id"] = "MeoCae_1004_2254", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -0.18320610687023, ["objekt"] = { ["hodnota"] = { ["citatel"] = -24, ["jmenovatel"] = 131 }, ["render"] = "\\frac{192}{-1048}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{24}{131}", ["y"] = -24, ["z"] = 131 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} - (-15)", ["typ"] = "minus" }, ["render"] = "\\frac{8}{1\\frac{3}{8} - (-15)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "14 + 1\\frac{2}{3}", ["typ"] = "plus" }, ["render"] = "(14 + 1\\frac{2}{3})", ["typ"] = "zavorka" }, ["render"] = "13 - (14 + 1\\frac{2}{3})", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{8}{1\\frac{3}{8} - (-15)}}{13 - (14 + 1\\frac{2}{3})}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.61, bodu=105, $$(\frac{7}{10} - (\frac{4\frac{3}{9}}{-13})^4) \cdot 4\frac{1}{3}=\textcolor{white}{2\frac{2381}{2430}}$$return { ["body"] = 105, ["id"] = "Hj2dwb_1004_2254", ["obtiznost"] = 1.0428, ["reseni"] = { ["float"] = 2.9798353909465, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7241, ["jmenovatel"] = 2430 }, ["render"] = "\\frac{7241}{2430}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{2381}{2430}", ["x"] = 2, ["y"] = 2381, ["z"] = 2430 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.61", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{9}}{-13}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{4\\frac{3}{9}}{-13})^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4", ["typ"] = "minus" }, ["render"] = "(\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "(\\frac{7}{10} - (\\frac{4\\frac{3}{9}}{-13})^4) \\cdot 4\\frac{1}{3}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.62, bodu=26, $$(8 - (-16 \cdot -11)) \cdot -12 \cdot -16=\textcolor{white}{-32256}$$return { ["body"] = 26, ["id"] = "j6VlgJ_1004_2254", ["obtiznost"] = 0.62, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -32256, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-32256}{1}", ["typ"] = "cislo" }, ["tex"] = "-32256", ["tex_float"] = "-32256", ["x"] = -32256 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot -11", ["typ"] = "krat" }, ["render"] = "8 - (-16 \\cdot -11)", ["typ"] = "minus" }, ["render"] = "(8 - (-16 \\cdot -11))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(8 - (-16 \\cdot -11)) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(8 - (-16 \\cdot -11)) \\cdot -12 \\cdot -16", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.63, bodu=104, $$15 \cdot (5 - 12) + \frac{-9}{1\frac{5}{10} + 1\frac{1}{3}}=\textcolor{white}{-108\frac{3}{17}}$$return { ["body"] = 104, ["id"] = "YG75T0_1004_2254", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = -108.17647058824, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1839, ["jmenovatel"] = 17 }, ["render"] = "\\frac{-1839}{17}", ["typ"] = "cislo" }, ["tex"] = "-108\\frac{3}{17}", ["x"] = -108, ["y"] = 3, ["z"] = 17 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "5 - 12", ["typ"] = "minus" }, ["render"] = "(5 - 12)", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot (5 - 12)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} + 1\\frac{1}{3}", ["typ"] = "plus" }, ["render"] = "\\frac{-9}{1\\frac{5}{10} + 1\\frac{1}{3}}", ["typ"] = "lomeno" }, ["render"] = "15 \\cdot (5 - 12) + \\frac{-9}{1\\frac{5}{10} + 1\\frac{1}{3}}", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.64, bodu=134, $$\frac{\frac{-10}{3\frac{3}{6}}}{\frac{2\frac{5}{12} \cdot 3\frac{3}{6}}{-12}}=\textcolor{white}{4\frac{76}{1421}}$$return { ["body"] = 134, ["id"] = "XWKJrS_1004_2254", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 4.0534834623505, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5760, ["jmenovatel"] = 1421 }, ["render"] = "\\frac{-5760}{-1421}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{76}{1421}", ["x"] = 4, ["y"] = 76, ["z"] = 1421 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{3\\frac{3}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{12} \\cdot 3\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{12} \\cdot 3\\frac{3}{6}}{-12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-10}{3\\frac{3}{6}}}{\\frac{2\\frac{5}{12} \\cdot 3\\frac{3}{6}}{-12}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.65, bodu=135, $$-16 + (-15 - (2\frac{3}{9} - 4\frac{2}{5}) + \frac{-16}{2\frac{5}{12}})=\textcolor{white}{-35\frac{241}{435}}$$return { ["body"] = 135, ["id"] = "13vVIM_1004_2254", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = -35.554022988506, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15466, ["jmenovatel"] = 435 }, ["render"] = "\\frac{-15466}{435}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{241}{435}", ["x"] = -35, ["y"] = 241, ["z"] = 435 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.65", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - 4\\frac{2}{5}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{9} - 4\\frac{2}{5})", ["typ"] = "zavorka" }, ["render"] = "-15 - (2\\frac{3}{9} - 4\\frac{2}{5})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{2\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "-15 - (2\\frac{3}{9} - 4\\frac{2}{5}) + \\frac{-16}{2\\frac{5}{12}}", ["typ"] = "plus" }, ["render"] = "-16 + (-15 - (2\\frac{3}{9} - 4\\frac{2}{5}) + \\frac{-16}{2\\frac{5}{12}})", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.66, bodu=108, $$\frac{4\frac{3}{7} + 17}{-10} \cdot -16 - (3\frac{3}{9} - 4)=\textcolor{white}{34\frac{20}{21}}$$return { ["body"] = 108, ["id"] = "IBYVYq_1004_2254", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 34.952380952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 734, ["jmenovatel"] = 21 }, ["render"] = "\\frac{734}{21}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{20}{21}", ["x"] = 34, ["y"] = 20, ["z"] = 21 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} + 17", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7} + 17}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7} + 17}{-10} \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} - 4", ["typ"] = "minus" }, ["render"] = "(3\\frac{3}{9} - 4)", ["typ"] = "zavorka" }, ["render"] = "\\frac{4\\frac{3}{7} + 17}{-10} \\cdot -16 - (3\\frac{3}{9} - 4)", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.67, bodu=109, $$\frac{11}{15 - (3\frac{1}{8} - 2\frac{3}{8} \cdot 12)}=\textcolor{white}{\frac{88}{323}}$$return { ["body"] = 109, ["id"] = "Kjn5CH_1004_2254", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 0.27244582043344, ["objekt"] = { ["hodnota"] = { ["citatel"] = 88, ["jmenovatel"] = 323 }, ["render"] = "\\frac{88}{323}", ["typ"] = "cislo" }, ["tex"] = "\\frac{88}{323}", ["y"] = 88, ["z"] = 323 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.67", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} \\cdot 12", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)", ["typ"] = "zavorka" }, ["render"] = "15 - (3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)", ["typ"] = "minus" }, ["render"] = "\\frac{11}{15 - (3\\frac{1}{8} - 2\\frac{3}{8} \\cdot 12)}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.68, bodu=111, $$1\frac{3}{10} \cdot (16 + \frac{9}{-18} - (1\frac{2}{11} + (-13)))=\textcolor{white}{35\frac{113}{220}}$$return { ["body"] = 111, ["id"] = "L9j3y2_1004_2254", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 35.513636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7813, ["jmenovatel"] = 220 }, ["render"] = "\\frac{7813}{220}", ["typ"] = "cislo" }, ["tex"] = "35\\frac{113}{220}", ["x"] = 35, ["y"] = 113, ["z"] = 220 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.68", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-18}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{11} + (-13)", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{11} + (-13))", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{-18} - (1\\frac{2}{11} + (-13))", ["typ"] = "minus" }, ["render"] = "16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13))", ["typ"] = "plus" }, ["render"] = "(16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13)))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{10} \\cdot (16 + \\frac{9}{-18} - (1\\frac{2}{11} + (-13)))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.69, bodu=207, $$(3\frac{4}{10} - 4\frac{5}{13} - 1\frac{1}{10}) \cdot (2\frac{2}{6} - (-13 \cdot 4\frac{4}{9}))=\textcolor{white}{-125\frac{361}{1170}}$$return { ["body"] = 207, ["id"] = "S3vKpW_1004_2254", ["obtiznost"] = 1.69, ["reseni"] = { ["float"] = -125.30854700855, ["objekt"] = { ["hodnota"] = { ["citatel"] = -146611, ["jmenovatel"] = 1170 }, ["render"] = "\\frac{-146611}{1170}", ["typ"] = "cislo" }, ["tex"] = "-125\\frac{361}{1170}", ["x"] = -125, ["y"] = 361, ["z"] = 1170 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - 4\\frac{5}{13}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10}", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9})", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9}))", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{4}{10} - 4\\frac{5}{13} - 1\\frac{1}{10}) \\cdot (2\\frac{2}{6} - (-13 \\cdot 4\\frac{4}{9}))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.7, bodu=113, $$4\frac{3}{11} + (-21) + (-12 - 15) \cdot (2\frac{2}{6} - (-15))=\textcolor{white}{-484\frac{8}{11}}$$return { ["body"] = 113, ["id"] = "8AMmiX_1004_2254", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = -484.72727272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5332, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-5332}{11}", ["typ"] = "cislo" }, ["tex"] = "-484\\frac{8}{11}", ["x"] = -484, ["y"] = 8, ["z"] = 11 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{11} + (-21)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-12 - 15", ["typ"] = "minus" }, ["render"] = "(-12 - 15)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} - (-15)", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{6} - (-15))", ["typ"] = "zavorka" }, ["render"] = "(-12 - 15) \\cdot (2\\frac{2}{6} - (-15))", ["typ"] = "krat" }, ["render"] = "4\\frac{3}{11} + (-21) + (-12 - 15) \\cdot (2\\frac{2}{6} - (-15))", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.71, bodu=63, $$\frac{-14}{16} - \frac{12}{-7} \cdot 14=\textcolor{white}{23{,}125}$$return { ["body"] = 63, ["id"] = "M7aMo1_1004_2254", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = 23.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 185, ["jmenovatel"] = 8 }, ["render"] = "\\frac{185}{8}", ["typ"] = "cislo" }, ["tex"] = "23\\frac{1}{8}", ["tex_float"] = "23{,}125", ["x"] = 23, ["y"] = 1, ["z"] = 8 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{16}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{-7} \\cdot 14", ["typ"] = "krat" }, ["render"] = "\\frac{-14}{16} - \\frac{12}{-7} \\cdot 14", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.72, bodu=111, $$\frac{(6 - 10)^3}{(\frac{12}{-18 \cdot 2\frac{2}{6}})^3}=\textcolor{white}{2744}$$return { ["body"] = 111, ["id"] = "KwjMRP_1004_2254", ["obtiznost"] = 1.0864, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2744, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-21952}{-8}", ["typ"] = "cislo" }, ["tex"] = "2744", ["tex_float"] = "2744", ["x"] = 2744 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.72", ["zadani"] = { ["c1"] = { ["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"] = 3, ["render"] = "(6 - 10)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-18 \\cdot 2\\frac{2}{6}", ["typ"] = "krat" }, ["render"] = "\\frac{12}{-18 \\cdot 2\\frac{2}{6}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{12}{-18 \\cdot 2\\frac{2}{6}})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{(6 - 10)^3}{(\\frac{12}{-18 \\cdot 2\\frac{2}{6}})^3}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.73, bodu=118, $$1\frac{2}{10} + (-8 + 4\frac{2}{10} - \frac{-8 - (-19)}{-12})=\textcolor{white}{-1\frac{41}{60}}$$return { ["body"] = 118, ["id"] = "8tYkKM_1004_2254", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -1.6833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -101, ["jmenovatel"] = 60 }, ["render"] = "\\frac{-505}{300}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{41}{60}", ["x"] = -1, ["y"] = 41, ["z"] = 60 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "-8 + 4\\frac{2}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "-8 - (-19)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 - (-19)}{-12}", ["typ"] = "lomeno" }, ["render"] = "-8 + 4\\frac{2}{10} - \\frac{-8 - (-19)}{-12}", ["typ"] = "minus" }, ["render"] = "1\\frac{2}{10} + (-8 + 4\\frac{2}{10} - \\frac{-8 - (-19)}{-12})", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.74, bodu=281, $$4\frac{2}{7} + (\frac{1\frac{2}{6}}{1\frac{3}{11}})^2 - \frac{(3\frac{3}{6} + (-14))^2}{4}=\textcolor{white}{-22\frac{1265}{7056}}$$return { ["body"] = 281, ["id"] = "8W4EuT_1004_2254", ["obtiznost"] = 2.088, ["reseni"] = { ["float"] = -22.179280045351, ["objekt"] = { ["hodnota"] = { ["citatel"] = -156497, ["jmenovatel"] = 7056 }, ["render"] = "\\frac{-156497}{7056}", ["typ"] = "cislo" }, ["tex"] = "-22\\frac{1265}{7056}", ["x"] = -22, ["y"] = 1265, ["z"] = 7056 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{6}}{1\\frac{3}{11}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{2}{7} + (\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{6} + (-14)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{3}{6} + (-14))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{(3\\frac{3}{6} + (-14))^2}{4}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{2}{7} + (\\frac{1\\frac{2}{6}}{1\\frac{3}{11}})^2 - \\frac{(3\\frac{3}{6} + (-14))^2}{4}", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.75, bodu=170, $$21 + 4\frac{4}{10} + (-16) - (2\frac{3}{8} + (\frac{-7}{-9 - (-16)})^2)^2=\textcolor{white}{-1\frac{317}{320}}$$return { ["body"] = 170, ["id"] = "hXrXov_1004_2254", ["obtiznost"] = 1.468, ["reseni"] = { ["float"] = -1.990625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -637, ["jmenovatel"] = 320 }, ["render"] = "\\frac{-637}{320}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{317}{320}", ["x"] = -1, ["y"] = 317, ["z"] = 320 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "21 + 4\\frac{4}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "21 + 4\\frac{4}{10} + (-16)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-9 - (-16)", ["typ"] = "minus" }, ["render"] = "\\frac{-7}{-9 - (-16)}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-7}{-9 - (-16)})^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2)^2", ["typ"] = "mocnina" }, ["render"] = "21 + 4\\frac{4}{10} + (-16) - (2\\frac{3}{8} + (\\frac{-7}{-9 - (-16)})^2)^2", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.76, bodu=152, $$(4\frac{5}{11} + \frac{-15 + (-11)}{20}) \cdot \frac{4\frac{5}{6}}{2\frac{2}{10}}=\textcolor{white}{6\frac{1351}{1452}}$$return { ["body"] = 152, ["id"] = "jsXKMo_1004_2254", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = 6.9304407713499, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10063, ["jmenovatel"] = 1452 }, ["render"] = "\\frac{50315}{7260}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1351}{1452}", ["x"] = 6, ["y"] = 1351, ["z"] = 1452 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.76", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 + (-11)}{20}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{5}{11} + \\frac{-15 + (-11)}{20}", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{11} + \\frac{-15 + (-11)}{20})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{6}}{2\\frac{2}{10}}", ["typ"] = "lomeno" }, ["render"] = "(4\\frac{5}{11} + \\frac{-15 + (-11)}{20}) \\cdot \\frac{4\\frac{5}{6}}{2\\frac{2}{10}}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.77, bodu=131, $$(-13 - 12)^2 - (11 + 1\frac{3}{8} \cdot -5 + (-18))=\textcolor{white}{638{,}875}$$return { ["body"] = 131, ["id"] = "sWnIwo_1004_2254", ["obtiznost"] = 1.2204, ["reseni"] = { ["float"] = 638.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5111, ["jmenovatel"] = 8 }, ["render"] = "\\frac{5111}{8}", ["typ"] = "cislo" }, ["tex"] = "638\\frac{7}{8}", ["tex_float"] = "638{,}875", ["x"] = 638, ["y"] = 7, ["z"] = 8 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.77", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-13 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-13 - 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} \\cdot -5", ["typ"] = "krat" }, ["render"] = "11 + 1\\frac{3}{8} \\cdot -5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "11 + 1\\frac{3}{8} \\cdot -5 + (-18)", ["typ"] = "plus" }, ["render"] = "(11 + 1\\frac{3}{8} \\cdot -5 + (-18))", ["typ"] = "zavorka" }, ["render"] = "(-13 - 12)^2 - (11 + 1\\frac{3}{8} \\cdot -5 + (-18))", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.78, bodu=223, $$(17 + (-13) + 2\frac{4}{12}) \cdot (2\frac{5}{8} + 2\frac{1}{6} + 3\frac{1}{2} + (-17 - 1\frac{2}{6}))=\textcolor{white}{-63\frac{43}{72}}$$return { ["body"] = 223, ["id"] = "4AgaHu_1004_2254", ["obtiznost"] = 1.78, ["reseni"] = { ["float"] = -63.597222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4579, ["jmenovatel"] = 72 }, ["render"] = "\\frac{-4579}{72}", ["typ"] = "cislo" }, ["tex"] = "-63\\frac{43}{72}", ["x"] = -63, ["y"] = 43, ["z"] = 72 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.78", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "17 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "17 + (-13) + 2\\frac{4}{12}", ["typ"] = "plus" }, ["render"] = "(17 + (-13) + 2\\frac{4}{12})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} + 3\\frac{1}{2}", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-17 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6})", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6}))", ["typ"] = "zavorka" }, ["render"] = "(17 + (-13) + 2\\frac{4}{12}) \\cdot (2\\frac{5}{8} + 2\\frac{1}{6} + 3\\frac{1}{2} + (-17 - 1\\frac{2}{6}))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.79, bodu=73, $$\frac{8 \cdot 20 \cdot -11}{\frac{-13}{-10}}=\textcolor{white}{-1353\frac{11}{13}}$$return { ["body"] = 73, ["id"] = "FEbzXh_1004_2254", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -1353.8461538462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17600, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-17600}{13}", ["typ"] = "cislo" }, ["tex"] = "-1353\\frac{11}{13}", ["x"] = -1353, ["y"] = 11, ["z"] = 13 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "20 \\cdot -11", ["typ"] = "krat" }, ["render"] = "8 \\cdot 20 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8 \\cdot 20 \\cdot -11}{\\frac{-13}{-10}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.8, bodu=227, $$\frac{-12}{1\frac{1}{6}} \cdot 4\frac{5}{14} \cdot (\frac{4\frac{4}{12}}{3\frac{1}{10}} + 3\frac{2}{5})=\textcolor{white}{-215\frac{167}{7595}}$$return { ["body"] = 227, ["id"] = "JJJy8K_1004_2254", ["obtiznost"] = 1.8, ["reseni"] = { ["float"] = -215.0219881501, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1633092, ["jmenovatel"] = 7595 }, ["render"] = "\\frac{-4899276}{22785}", ["typ"] = "cislo" }, ["tex"] = "-215\\frac{167}{7595}", ["x"] = -215, ["y"] = 167, ["z"] = 7595 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{1\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{1\\frac{1}{6}} \\cdot 4\\frac{5}{14}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{12}}{3\\frac{1}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5})", ["typ"] = "zavorka" }, ["render"] = "\\frac{-12}{1\\frac{1}{6}} \\cdot 4\\frac{5}{14} \\cdot (\\frac{4\\frac{4}{12}}{3\\frac{1}{10}} + 3\\frac{2}{5})", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.81, bodu=129, $$12 \cdot (4\frac{3}{6} \cdot 9 - (4\frac{1}{3} - (-17))) + 8=\textcolor{white}{238}$$return { ["body"] = 129, ["id"] = "VvoWYr_1004_2254", ["obtiznost"] = 1.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 238, ["jmenovatel"] = 1 }, ["render"] = "\\frac{238}{1}", ["typ"] = "cislo" }, ["tex"] = "238", ["x"] = 238 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{3} - (-17)", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{3} - (-17))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17))", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17)))", ["typ"] = "zavorka" }, ["render"] = "12 \\cdot (4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17)))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 \\cdot (4\\frac{3}{6} \\cdot 9 - (4\\frac{1}{3} - (-17))) + 8", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.82, bodu=195, $$\frac{10}{18 - 1\frac{1}{5}} - \frac{4\frac{3}{8}}{3\frac{2}{6} \cdot 3\frac{4}{12}}=\textcolor{white}{\frac{677}{3360}}$$return { ["body"] = 195, ["id"] = "2YxMz4_1004_2254", ["obtiznost"] = 1.62, ["reseni"] = { ["float"] = 0.2014880952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 677, ["jmenovatel"] = 3360 }, ["render"] = "\\frac{1354}{6720}", ["typ"] = "cislo" }, ["tex"] = "\\frac{677}{3360}", ["y"] = 677, ["z"] = 3360 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "18 - 1\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "\\frac{10}{18 - 1\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} \\cdot 3\\frac{4}{12}", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{3}{8}}{3\\frac{2}{6} \\cdot 3\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{18 - 1\\frac{1}{5}} - \\frac{4\\frac{3}{8}}{3\\frac{2}{6} \\cdot 3\\frac{4}{12}}", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.83, bodu=104, $$\frac{-11}{\frac{3\frac{4}{12}}{-10 \cdot (\frac{12}{15} + 13)}}=\textcolor{white}{455{,}4}$$return { ["body"] = 104, ["id"] = "mNdUIU_1004_2254", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = 455.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2277, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-2277}{-5}", ["typ"] = "cislo" }, ["tex"] = "455\\frac{2}{5}", ["tex_float"] = "455{,}4", ["x"] = 455, ["y"] = 2, ["z"] = 5 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.83", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{15} + 13", ["typ"] = "plus" }, ["render"] = "(\\frac{12}{15} + 13)", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot (\\frac{12}{15} + 13)", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{4}{12}}{-10 \\cdot (\\frac{12}{15} + 13)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11}{\\frac{3\\frac{4}{12}}{-10 \\cdot (\\frac{12}{15} + 13)}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.84, bodu=118, $$\frac{2\frac{3}{8} + (-21)}{-9 - 16} + (-11 + (-5 - 10)^2)=\textcolor{white}{214{,}745}$$return { ["body"] = 118, ["id"] = "o27sck_1004_2254", ["obtiznost"] = 1.1304, ["reseni"] = { ["float"] = 214.745, ["objekt"] = { ["hodnota"] = { ["citatel"] = 42949, ["jmenovatel"] = 200 }, ["render"] = "\\frac{42949}{200}", ["typ"] = "cislo" }, ["tex"] = "214\\frac{149}{200}", ["tex_float"] = "214{,}745", ["x"] = 214, ["y"] = 149, ["z"] = 200 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} + (-21)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "-9 - 16", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{3}{8} + (-21)}{-9 - 16}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-5 - 10", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-5 - 10)^2", ["typ"] = "mocnina" }, ["render"] = "-11 + (-5 - 10)^2", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{8} + (-21)}{-9 - 16} + (-11 + (-5 - 10)^2)", ["typ"] = "plus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.85, bodu=167, $$\frac{\frac{12}{7} + 14}{\frac{2\frac{2}{8} + 3\frac{2}{6}}{2\frac{1}{6} - (-13)}}=\textcolor{white}{42\frac{46}{67}}$$return { ["body"] = 167, ["id"] = "MxsSf7_1004_2254", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = 42.686567164179, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2860, ["jmenovatel"] = 67 }, ["render"] = "\\frac{20020}{469}", ["typ"] = "cislo" }, ["tex"] = "42\\frac{46}{67}", ["x"] = 42, ["y"] = 46, ["z"] = 67 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{7} + 14", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{8} + 3\\frac{2}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - (-13)", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{2}{8} + 3\\frac{2}{6}}{2\\frac{1}{6} - (-13)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{12}{7} + 14}{\\frac{2\\frac{2}{8} + 3\\frac{2}{6}}{2\\frac{1}{6} - (-13)}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.86, bodu=137, $$\frac{-15 - (-14 + 2\frac{5}{10})}{2\frac{4}{10} \cdot -8 \cdot -4 + 12}=\textcolor{white}{-\frac{35}{888}}$$return { ["body"] = 137, ["id"] = "GM7PTR_1004_2254", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = -0.039414414414414, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 888 }, ["render"] = "\\frac{-35}{888}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{35}{888}", ["y"] = -35, ["z"] = 888 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-14 + 2\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "(-14 + 2\\frac{5}{10})", ["typ"] = "zavorka" }, ["render"] = "-15 - (-14 + 2\\frac{5}{10})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot -4", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{10} \\cdot -8 \\cdot -4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} \\cdot -8 \\cdot -4 + 12", ["typ"] = "plus" }, ["render"] = "\\frac{-15 - (-14 + 2\\frac{5}{10})}{2\\frac{4}{10} \\cdot -8 \\cdot -4 + 12}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.87, bodu=172, $$(4\frac{5}{12} - ((\frac{-14}{21})^3 - (3\frac{1}{1} + 1\frac{2}{7}))) \cdot 3\frac{3}{9}=\textcolor{white}{33\frac{373}{1134}}$$return { ["body"] = 172, ["id"] = "cz3V7U_1004_2254", ["obtiznost"] = 1.484, ["reseni"] = { ["float"] = 33.328924162257, ["objekt"] = { ["hodnota"] = { ["citatel"] = 37795, ["jmenovatel"] = 1134 }, ["render"] = "\\frac{75590}{2268}", ["typ"] = "cislo" }, ["tex"] = "33\\frac{373}{1134}", ["x"] = 33, ["y"] = 373, ["z"] = 1134 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.87", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{21}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-14}{21})^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "3\\frac{1}{1}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{1} + 1\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{1} + 1\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7})", ["typ"] = "minus" }, ["render"] = "((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7})))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{12} - ((\\frac{-14}{21})^3 - (3\\frac{1}{1} + 1\\frac{2}{7}))) \\cdot 3\\frac{3}{9}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.88, bodu=140, $$(\frac{13}{19} + 13 - (-6 - 15)) \cdot (2\frac{3}{9} - 1\frac{1}{2})=\textcolor{white}{28\frac{103}{114}}$$return { ["body"] = 140, ["id"] = "blloNJ_1004_2254", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = 28.90350877193, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3295, ["jmenovatel"] = 114 }, ["render"] = "\\frac{3295}{114}", ["typ"] = "cislo" }, ["tex"] = "28\\frac{103}{114}", ["x"] = 28, ["y"] = 103, ["z"] = 114 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.88", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{19}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{19} + 13", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-6 - 15", ["typ"] = "minus" }, ["render"] = "(-6 - 15)", ["typ"] = "zavorka" }, ["render"] = "\\frac{13}{19} + 13 - (-6 - 15)", ["typ"] = "minus" }, ["render"] = "(\\frac{13}{19} + 13 - (-6 - 15))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} - 1\\frac{1}{2}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{9} - 1\\frac{1}{2})", ["typ"] = "zavorka" }, ["render"] = "(\\frac{13}{19} + 13 - (-6 - 15)) \\cdot (2\\frac{3}{9} - 1\\frac{1}{2})", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.89, bodu=112, $$\frac{\frac{-20}{20 - (19 - \frac{3\frac{5}{9}}{-17})}}{-14}=\textcolor{white}{1\frac{683}{847}}$$return { ["body"] = 112, ["id"] = "SNUcbQ_1004_2254", ["obtiznost"] = 1.09, ["reseni"] = { ["float"] = 1.8063754427391, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1530, ["jmenovatel"] = 847 }, ["render"] = "\\frac{-3060}{-1694}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{683}{847}", ["x"] = 1, ["y"] = 683, ["z"] = 847 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{9}}{-17}", ["typ"] = "lomeno" }, ["render"] = "19 - \\frac{3\\frac{5}{9}}{-17}", ["typ"] = "minus" }, ["render"] = "(19 - \\frac{3\\frac{5}{9}}{-17})", ["typ"] = "zavorka" }, ["render"] = "20 - (19 - \\frac{3\\frac{5}{9}}{-17})", ["typ"] = "minus" }, ["render"] = "\\frac{-20}{20 - (19 - \\frac{3\\frac{5}{9}}{-17})}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-20}{20 - (19 - \\frac{3\\frac{5}{9}}{-17})}}{-14}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.9, bodu=245, $$\frac{4\frac{2}{8} - 1\frac{1}{8} + 1\frac{4}{9}}{\frac{3\frac{2}{9}}{\frac{-13}{4\frac{1}{8}}}}=\textcolor{white}{-4\frac{449}{957}}$$return { ["body"] = 245, ["id"] = "dnyYJa_1004_2254", ["obtiznost"] = 1.9, ["reseni"] = { ["float"] = -4.4691745036573, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4277, ["jmenovatel"] = 957 }, ["render"] = "\\frac{102648}{-22968}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{449}{957}", ["x"] = -4, ["y"] = 449, ["z"] = 957 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} - 1\\frac{1}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} - 1\\frac{1}{8} + 1\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{4\\frac{1}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{2}{9}}{\\frac{-13}{4\\frac{1}{8}}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{2}{8} - 1\\frac{1}{8} + 1\\frac{4}{9}}{\\frac{3\\frac{2}{9}}{\\frac{-13}{4\\frac{1}{8}}}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.91, bodu=123, $$((\frac{-14}{20})^2 - 12) \cdot (2\frac{3}{8} \cdot 18 + (-23 + (-10)))=\textcolor{white}{-112\frac{89}{400}}$$return { ["body"] = 123, ["id"] = "0G3OqY_1004_2254", ["obtiznost"] = 1.1696, ["reseni"] = { ["float"] = -112.2225, ["objekt"] = { ["hodnota"] = { ["citatel"] = -44889, ["jmenovatel"] = 400 }, ["render"] = "\\frac{-44889}{400}", ["typ"] = "cislo" }, ["tex"] = "-112\\frac{89}{400}", ["x"] = -112, ["y"] = 89, ["z"] = 400 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.91", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{20}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-14}{20})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{20})^2 - 12", ["typ"] = "minus" }, ["render"] = "((\\frac{-14}{20})^2 - 12)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-23 + (-10)", ["typ"] = "plus" }, ["render"] = "2\\frac{3}{8} \\cdot 18 + (-23 + (-10))", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{8} \\cdot 18 + (-23 + (-10)))", ["typ"] = "zavorka" }, ["render"] = "((\\frac{-14}{20})^2 - 12) \\cdot (2\\frac{3}{8} \\cdot 18 + (-23 + (-10)))", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.92, bodu=256, $$\frac{(1\frac{3}{4} + 1\frac{1}{8})^2}{(-20 - 4\frac{1}{10}) \cdot (\frac{-11}{-7} + 1\frac{3}{8})}=\textcolor{white}{-\frac{3703}{31812}}$$return { ["body"] = 256, ["id"] = "1MsNMa_1004_2254", ["obtiznost"] = 1.9572, ["reseni"] = { ["float"] = -0.11640261536527, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3703, ["jmenovatel"] = 31812 }, ["render"] = "\\frac{59248}{-508992}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3703}{31812}", ["y"] = -3703, ["z"] = 31812 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.92", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{4} + 1\\frac{1}{8}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{3}{4} + 1\\frac{1}{8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "-20 - 4\\frac{1}{10}", ["typ"] = "minus" }, ["render"] = "(-20 - 4\\frac{1}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{-7} + 1\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(\\frac{-11}{-7} + 1\\frac{3}{8})", ["typ"] = "zavorka" }, ["render"] = "(-20 - 4\\frac{1}{10}) \\cdot (\\frac{-11}{-7} + 1\\frac{3}{8})", ["typ"] = "krat" }, ["render"] = "\\frac{(1\\frac{3}{4} + 1\\frac{1}{8})^2}{(-20 - 4\\frac{1}{10}) \\cdot (\\frac{-11}{-7} + 1\\frac{3}{8})}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.93, bodu=149, $$(-12 - (-10 + (-5)))^3 \cdot (2\frac{1}{4} + 1\frac{3}{8}) \cdot \frac{-10}{-7}=\textcolor{white}{139\frac{23}{28}}$$return { ["body"] = 149, ["id"] = "vv1xTc_1004_2254", ["obtiznost"] = 1.3412, ["reseni"] = { ["float"] = 139.82142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3915, ["jmenovatel"] = 28 }, ["render"] = "\\frac{3915}{28}", ["typ"] = "cislo" }, ["tex"] = "139\\frac{23}{28}", ["x"] = 139, ["y"] = 23, ["z"] = 28 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.93", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-10 + (-5)", ["typ"] = "plus" }, ["render"] = "(-10 + (-5))", ["typ"] = "zavorka" }, ["render"] = "-12 - (-10 + (-5))", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-12 - (-10 + (-5)))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{4} + 1\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{4} + 1\\frac{3}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{-7}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{1}{4} + 1\\frac{3}{8}) \\cdot \\frac{-10}{-7}", ["typ"] = "krat" }, ["render"] = "(-12 - (-10 + (-5)))^3 \\cdot (2\\frac{1}{4} + 1\\frac{3}{8}) \\cdot \\frac{-10}{-7}", ["typ"] = "krat" } }

seed: t2sww6rLI9PFgvIzVsyf_0.94, bodu=253, $$\frac{\frac{2\frac{5}{12} \cdot 2\frac{5}{10} + 1\frac{4}{9}}{-10 - 4\frac{4}{7}}}{2\frac{3}{9}}=\textcolor{white}{-\frac{539}{2448}}$$return { ["body"] = 253, ["id"] = "5BcGcz_1004_2254", ["obtiznost"] = 1.94, ["reseni"] = { ["float"] = -0.22017973856209, ["objekt"] = { ["hodnota"] = { ["citatel"] = -539, ["jmenovatel"] = 2448 }, ["render"] = "\\frac{-11319}{51408}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{539}{2448}", ["y"] = -539, ["z"] = 2448 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{12} \\cdot 2\\frac{5}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-10 - 4\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}}{-10 - 4\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{12} \\cdot 2\\frac{5}{10} + 1\\frac{4}{9}}{-10 - 4\\frac{4}{7}}}{2\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.95, bodu=183, $$\frac{-20 - (1\frac{4}{11} - 1\frac{5}{9}) - \frac{18}{-23}}{4\frac{2}{9}}=\textcolor{white}{-4\frac{4865}{9614}}$$return { ["body"] = 183, ["id"] = "nr00f5_1004_2254", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = -4.5060328687331, ["objekt"] = { ["hodnota"] = { ["citatel"] = -43321, ["jmenovatel"] = 9614 }, ["render"] = "\\frac{-389889}{86526}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{4865}{9614}", ["x"] = -4, ["y"] = 4865, ["z"] = 9614 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - 1\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{11} - 1\\frac{5}{9})", ["typ"] = "zavorka" }, ["render"] = "-20 - (1\\frac{4}{11} - 1\\frac{5}{9})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-23}", ["typ"] = "lomeno" }, ["render"] = "-20 - (1\\frac{4}{11} - 1\\frac{5}{9}) - \\frac{18}{-23}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-20 - (1\\frac{4}{11} - 1\\frac{5}{9}) - \\frac{18}{-23}}{4\\frac{2}{9}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.96, bodu=185, $$(1\frac{1}{8} \cdot -8 + 11)^2 \cdot (4\frac{3}{10} - (-14)) - 1\frac{2}{7}=\textcolor{white}{71\frac{32}{35}}$$return { ["body"] = 185, ["id"] = "3Hp1tL_1004_2254", ["obtiznost"] = 1.562, ["reseni"] = { ["float"] = 71.914285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2517, ["jmenovatel"] = 35 }, ["render"] = "\\frac{2517}{35}", ["typ"] = "cislo" }, ["tex"] = "71\\frac{32}{35}", ["x"] = 71, ["y"] = 32, ["z"] = 35 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{8} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{8} \\cdot -8 + 11", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{10} - (-14)", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{10} - (-14))", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2 \\cdot (4\\frac{3}{10} - (-14))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{8} \\cdot -8 + 11)^2 \\cdot (4\\frac{3}{10} - (-14)) - 1\\frac{2}{7}", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.97, bodu=187, $$\frac{4\frac{4}{7}}{-14 \cdot (\frac{1\frac{2}{5}}{23} - (-10)) \cdot 4\frac{5}{8}}=\textcolor{white}{-\frac{14720}{2097641}}$$return { ["body"] = 187, ["id"] = "QU8VGj_1004_2254", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -0.0070174066963794, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14720, ["jmenovatel"] = 2097641 }, ["render"] = "\\frac{14720}{-2097641}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{14720}{2097641}", ["y"] = -14720, ["z"] = 2097641 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{23}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{23} - (-10)", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{2}{5}}{23} - (-10))", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10)) \\cdot 4\\frac{5}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{4}{7}}{-14 \\cdot (\\frac{1\\frac{2}{5}}{23} - (-10)) \\cdot 4\\frac{5}{8}}", ["typ"] = "lomeno" } }

seed: t2sww6rLI9PFgvIzVsyf_0.98, bodu=192, $$4\frac{2}{5} - ((-21 - (-14))^2 - (2\frac{5}{5} + 3\frac{4}{13} \cdot -13 + 3\frac{4}{8}))=\textcolor{white}{-81{,}1}$$return { ["body"] = 192, ["id"] = "i0ZUGb_1004_2254", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = -81.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = -811, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-811}{10}", ["typ"] = "cislo" }, ["tex"] = "-81\\frac{1}{10}", ["tex_float"] = "-81{,}1", ["x"] = -81, ["y"] = 1, ["z"] = 10 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.98", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-21 - (-14)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-21 - (-14))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{5}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{13} \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "(-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8})", ["typ"] = "minus" }, ["render"] = "((-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{2}{5} - ((-21 - (-14))^2 - (2\\frac{5}{5} + 3\\frac{4}{13} \\cdot -13 + 3\\frac{4}{8}))", ["typ"] = "minus" } }

seed: t2sww6rLI9PFgvIzVsyf_0.99, bodu=157, $$4\frac{5}{11} \cdot 11 \cdot 11 \cdot (1\frac{3}{10} + 11 \cdot -16)=\textcolor{white}{-94163{,}3}$$return { ["body"] = 157, ["id"] = "qH24Vq_1004_2254", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -94163.3, ["objekt"] = { ["hodnota"] = { ["citatel"] = -941633, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-941633}{10}", ["typ"] = "cislo" }, ["tex"] = "-94163\\frac{3}{10}", ["tex_float"] = "-94163{,}3", ["x"] = -94163, ["y"] = 3, ["z"] = 10 }, ["seed"] = "t2sww6rLI9PFgvIzVsyf_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -16", ["typ"] = "krat" }, ["render"] = "1\\frac{3}{10} + 11 \\cdot -16", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{10} + 11 \\cdot -16)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (1\\frac{3}{10} + 11 \\cdot -16)", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{11} \\cdot 11 \\cdot 11 \\cdot (1\\frac{3}{10} + 11 \\cdot -16)", ["typ"] = "krat" } }

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