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Nahodny test, priklady s rostouci obtiznosti...

seed: IYVFHazzBVTdrWBpfslD_0, bodu=10, $$\frac{7}{3} \cdot 7=\textcolor{white}{16\frac{1}{3}}$$return { ["body"] = 10, ["id"] = "SazLtz_0712_1704", ["obtiznost"] = 0, ["reseni"] = { ["float"] = 16.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 3 }, ["render"] = "\\frac{49}{3}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{1}{3}", ["x"] = 16, ["y"] = 1, ["z"] = 3 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{3} \\cdot 7", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.01, bodu=5, $$-5 - (10 + 7) \cdot 9=\textcolor{white}{-158}$$return { ["body"] = 5, ["id"] = "eXAUbp_0712_1704", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -158, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-158}{1}", ["typ"] = "cislo" }, ["tex"] = "-158", ["tex_float"] = "-158", ["x"] = -158 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.01", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 7", ["typ"] = "plus" }, ["render"] = "(10 + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(10 + 7) \\cdot 9", ["typ"] = "krat" }, ["render"] = "-5 - (10 + 7) \\cdot 9", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.02, bodu=5, $$7 + 5 - 9 - 9=\textcolor{white}{-6}$$return { ["body"] = 5, ["id"] = "Fj1eIe_0712_1704", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6}{1}", ["typ"] = "cislo" }, ["tex"] = "-6", ["x"] = -6 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 - 9", ["typ"] = "minus" }, ["render"] = "7 + 5 - 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 5 - 9 - 9", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.03, bodu=10, $$-8 + (-5 + \frac{8}{5})=\textcolor{white}{-11{,}4}$$return { ["body"] = 10, ["id"] = "urKGEx_0712_1704", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = -11.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -57, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-57}{5}", ["typ"] = "cislo" }, ["tex"] = "-11\\frac{2}{5}", ["tex_float"] = "-11{,}4", ["x"] = -11, ["y"] = 2, ["z"] = 5 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["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"] = "-5 + \\frac{8}{5}", ["typ"] = "plus" }, ["render"] = "-8 + (-5 + \\frac{8}{5})", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.04, bodu=10, $$\frac{4}{\frac{10}{5}}=\textcolor{white}{2}$$return { ["body"] = 10, ["id"] = "42dLAi_0712_1704", ["obtiznost"] = 0.04, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4}{2}", ["typ"] = "cislo" }, ["tex"] = "2", ["x"] = 2 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{5}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4}{\\frac{10}{5}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.05, bodu=5, $$6 \cdot 8 \cdot 7=\textcolor{white}{336}$$return { ["body"] = 5, ["id"] = "1d6Jos_0712_1704", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 336, ["jmenovatel"] = 1 }, ["render"] = "\\frac{336}{1}", ["typ"] = "cislo" }, ["tex"] = "336", ["tex_float"] = "336", ["x"] = 336 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 7", ["typ"] = "krat" }, ["render"] = "6 \\cdot 8 \\cdot 7", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.06, bodu=21, $$6 \cdot (10 - 1\frac{5}{7}) - 7=\textcolor{white}{42\frac{5}{7}}$$return { ["body"] = 21, ["id"] = "eJkom3_0712_1704", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = 42.714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 299, ["jmenovatel"] = 7 }, ["render"] = "\\frac{299}{7}", ["typ"] = "cislo" }, ["tex"] = "42\\frac{5}{7}", ["x"] = 42, ["y"] = 5, ["z"] = 7 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "10 - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(10 - 1\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (10 - 1\\frac{5}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot (10 - 1\\frac{5}{7}) - 7", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.07, bodu=8, $$9 \cdot (4 - (-6) - (-6))^2=\textcolor{white}{2304}$$return { ["body"] = 8, ["id"] = "LlFC1u_0712_1704", ["obtiznost"] = 0.1728, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2304, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2304}{1}", ["typ"] = "cislo" }, ["tex"] = "2304", ["tex_float"] = "2304", ["x"] = 2304 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4 - (-6)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4 - (-6) - (-6)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4 - (-6) - (-6))^2", ["typ"] = "mocnina" }, ["render"] = "9 \\cdot (4 - (-6) - (-6))^2", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.08, bodu=12, $$\frac{10}{\frac{4}{-9 + 6}}=\textcolor{white}{-7{,}5}$$return { ["body"] = 12, ["id"] = "4N7RD1_0712_1704", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = -7.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 2 }, ["render"] = "\\frac{30}{-4}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{1}{2}", ["tex_float"] = "-7{,}5", ["x"] = -7, ["y"] = 1, ["z"] = 2 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-9 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{4}{-9 + 6}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{\\frac{4}{-9 + 6}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.09, bodu=17, $$(\frac{8 + 8}{-3})^2 - 6=\textcolor{white}{22\frac{4}{9}}$$return { ["body"] = 17, ["id"] = "XvV3QX_0712_1704", ["obtiznost"] = 0.196, ["reseni"] = { ["float"] = 22.444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 202, ["jmenovatel"] = 9 }, ["render"] = "\\frac{202}{9}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{4}{9}", ["x"] = 22, ["y"] = 4, ["z"] = 9 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.09", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + 8}{-3}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8 + 8}{-3})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{8 + 8}{-3})^2 - 6", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.1, bodu=6, $$9 \cdot -7 + 7 + (-5)=\textcolor{white}{-61}$$return { ["body"] = 6, ["id"] = "DXo5gw_0712_1704", ["obtiznost"] = 0.1, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -61, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-61}{1}", ["typ"] = "cislo" }, ["tex"] = "-61", ["x"] = -61 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "7 + (-5)", ["typ"] = "plus" }, ["render"] = "9 \\cdot -7 + 7 + (-5)", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.11, bodu=13, $$(9 + (\frac{-7}{7})^4) \cdot 6=\textcolor{white}{60}$$return { ["body"] = 13, ["id"] = "EdxCC0_0712_1704", ["obtiznost"] = 0.1108, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 60, ["jmenovatel"] = 1 }, ["render"] = "\\frac{60}{1}", ["typ"] = "cislo" }, ["tex"] = "60", ["tex_float"] = "60", ["x"] = 60 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.11", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-7}{7})^4", ["typ"] = "mocnina" }, ["render"] = "9 + (\\frac{-7}{7})^4", ["typ"] = "plus" }, ["render"] = "(9 + (\\frac{-7}{7})^4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(9 + (\\frac{-7}{7})^4) \\cdot 6", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.12, bodu=14, $$\frac{\frac{7}{(8 - 5)^3}}{10}=\textcolor{white}{\frac{7}{270}}$$return { ["body"] = 14, ["id"] = "AhmwBS_0712_1704", ["obtiznost"] = 0.1312, ["reseni"] = { ["float"] = 0.025925925925926, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 270 }, ["render"] = "\\frac{7}{270}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{270}", ["y"] = 7, ["z"] = 270 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "8 - 5", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(8 - 5)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{7}{(8 - 5)^3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{7}{(8 - 5)^3}}{10}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.13, bodu=15, $$(\frac{\frac{8}{4}}{6})^4=\textcolor{white}{\frac{1}{81}}$$return { ["body"] = 15, ["id"] = "qp8W16_0712_1704", ["obtiznost"] = 0.1628, ["reseni"] = { ["float"] = 0.012345679012346, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 81 }, ["render"] = "\\frac{1}{81}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{81}", ["y"] = 1, ["z"] = 81 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.13", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{8}{4}}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{\\frac{8}{4}}{6})^4", ["typ"] = "mocnina" } }

seed: IYVFHazzBVTdrWBpfslD_0.14, bodu=14, $$\frac{7}{7 + 4 + 11}=\textcolor{white}{\frac{7}{22}}$$return { ["body"] = 14, ["id"] = "EgYc4L_0712_1704", ["obtiznost"] = 0.14, ["reseni"] = { ["float"] = 0.31818181818182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 22 }, ["render"] = "\\frac{7}{22}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{22}", ["y"] = 7, ["z"] = 22 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4 + 11", ["typ"] = "plus" }, ["render"] = "7 + 4 + 11", ["typ"] = "plus" }, ["render"] = "\\frac{7}{7 + 4 + 11}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.15, bodu=28, $$\frac{6}{5} + 4 - 1\frac{1}{4}=\textcolor{white}{3{,}95}$$return { ["body"] = 28, ["id"] = "sD02ZV_0712_1704", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 3.95, ["objekt"] = { ["hodnota"] = { ["citatel"] = 79, ["jmenovatel"] = 20 }, ["render"] = "\\frac{79}{20}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{19}{20}", ["tex_float"] = "3{,}95", ["x"] = 3, ["y"] = 19, ["z"] = 20 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "4 - 1\\frac{1}{4}", ["typ"] = "minus" }, ["render"] = "\\frac{6}{5} + 4 - 1\\frac{1}{4}", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.16, bodu=29, $$4\frac{5}{7} + 8 + 10 \cdot 6=\textcolor{white}{72\frac{5}{7}}$$return { ["body"] = 29, ["id"] = "Pe1QYt_0712_1704", ["obtiznost"] = 0.36, ["reseni"] = { ["float"] = 72.714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 509, ["jmenovatel"] = 7 }, ["render"] = "\\frac{509}{7}", ["typ"] = "cislo" }, ["tex"] = "72\\frac{5}{7}", ["x"] = 72, ["y"] = 5, ["z"] = 7 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{7} + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 6", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{7} + 8 + 10 \\cdot 6", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.17, bodu=30, $$5 + 4\frac{1}{5} + 7 \cdot -12=\textcolor{white}{-74{,}8}$$return { ["body"] = 30, ["id"] = "logERd_0712_1704", ["obtiznost"] = 0.37, ["reseni"] = { ["float"] = -74.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -374, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-374}{5}", ["typ"] = "cislo" }, ["tex"] = "-74\\frac{4}{5}", ["tex_float"] = "-74{,}8", ["x"] = -74, ["y"] = 4, ["z"] = 5 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -12", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{5} + 7 \\cdot -12", ["typ"] = "plus" }, ["render"] = "5 + 4\\frac{1}{5} + 7 \\cdot -12", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.18, bodu=8, $$9 - (-11 \cdot 9) + 8=\textcolor{white}{116}$$return { ["body"] = 8, ["id"] = "ACNmPo_0712_1704", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 116, ["jmenovatel"] = 1 }, ["render"] = "\\frac{116}{1}", ["typ"] = "cislo" }, ["tex"] = "116", ["x"] = 116 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 9", ["typ"] = "krat" }, ["render"] = "9 - (-11 \\cdot 9)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 - (-11 \\cdot 9) + 8", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.19, bodu=31, $$\frac{9 \cdot 8 + 3\frac{4}{5}}{9}=\textcolor{white}{8\frac{19}{45}}$$return { ["body"] = 31, ["id"] = "FK6k2b_0712_1704", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 8.4222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 379, ["jmenovatel"] = 45 }, ["render"] = "\\frac{379}{45}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{19}{45}", ["x"] = 8, ["y"] = 19, ["z"] = 45 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8 + 3\\frac{4}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{9 \\cdot 8 + 3\\frac{4}{5}}{9}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.2, bodu=25, $$(\frac{7 - (-8)}{8})^2 - 9=\textcolor{white}{-5\frac{31}{64}}$$return { ["body"] = 25, ["id"] = "0qsftW_0712_1704", ["obtiznost"] = 0.3156, ["reseni"] = { ["float"] = -5.484375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -351, ["jmenovatel"] = 64 }, ["render"] = "\\frac{-351}{64}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{31}{64}", ["x"] = -5, ["y"] = 31, ["z"] = 64 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.2", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "7 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - (-8)}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{7 - (-8)}{8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(\\frac{7 - (-8)}{8})^2 - 9", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.21, bodu=18, $$\frac{\frac{-8}{-5} - 6}{7}=\textcolor{white}{-\frac{22}{35}}$$return { ["body"] = 18, ["id"] = "CIhwnP_0712_1704", ["obtiznost"] = 0.21, ["reseni"] = { ["float"] = -0.62857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-22}{35}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{22}{35}", ["y"] = -22, ["z"] = 35 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-5} - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-8}{-5} - 6}{7}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.22, bodu=10, $$(6 + (6 - (-8) + (-8 - 7))^2)^2=\textcolor{white}{49}$$return { ["body"] = 10, ["id"] = "7ky0K3_0712_1704", ["obtiznost"] = 0.2408, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 1 }, ["render"] = "\\frac{49}{1}", ["typ"] = "cislo" }, ["tex"] = "49", ["x"] = 49 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.22", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "6 - (-8)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-8 - 7", ["typ"] = "minus" }, ["render"] = "6 - (-8) + (-8 - 7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 - (-8) + (-8 - 7))^2", ["typ"] = "mocnina" }, ["render"] = "6 + (6 - (-8) + (-8 - 7))^2", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + (6 - (-8) + (-8 - 7))^2)^2", ["typ"] = "mocnina" } }

seed: IYVFHazzBVTdrWBpfslD_0.23, bodu=24, $$\frac{-12 + 8}{(-6 + 4 - 11)^2}=\textcolor{white}{-\frac{4}{169}}$$return { ["body"] = 24, ["id"] = "xZAPi4_0712_1704", ["obtiznost"] = 0.298, ["reseni"] = { ["float"] = -0.023668639053254, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 169 }, ["render"] = "\\frac{-4}{169}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{169}", ["y"] = -4, ["z"] = 169 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-12 + 8", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4 - 11", ["typ"] = "minus" }, ["render"] = "-6 + 4 - 11", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 + 4 - 11)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-12 + 8}{(-6 + 4 - 11)^2}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.24, bodu=31, $$(\frac{8}{\frac{11}{-9}} + 8)^2=\textcolor{white}{2\frac{14}{121}}$$return { ["body"] = 31, ["id"] = "SzWGMD_0712_1704", ["obtiznost"] = 0.3908, ["reseni"] = { ["float"] = 2.1157024793388, ["objekt"] = { ["hodnota"] = { ["citatel"] = 256, ["jmenovatel"] = 121 }, ["render"] = "\\frac{256}{121}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{14}{121}", ["x"] = 2, ["y"] = 14, ["z"] = 121 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.24", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8}{\\frac{11}{-9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{\\frac{11}{-9}} + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{\\frac{11}{-9}} + 8)^2", ["typ"] = "mocnina" } }

seed: IYVFHazzBVTdrWBpfslD_0.25, bodu=37, $$\frac{\frac{1\frac{3}{4}}{6}}{-8} \cdot 12=\textcolor{white}{-\frac{7}{16}}$$return { ["body"] = 37, ["id"] = "IxUPyg_0712_1704", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = -0.4375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-84}{192}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{16}", ["y"] = -7, ["z"] = 16 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{4}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{3}{4}}{6}}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{3}{4}}{6}}{-8} \\cdot 12", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.26, bodu=38, $$3\frac{1}{3} - \frac{-9}{9} \cdot 10=\textcolor{white}{13\frac{1}{3}}$$return { ["body"] = 38, ["id"] = "WkvGwU_0712_1704", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = 13.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 3 }, ["render"] = "\\frac{40}{3}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{1}{3}", ["x"] = 13, ["y"] = 1, ["z"] = 3 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{9} \\cdot 10", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{3} - \\frac{-9}{9} \\cdot 10", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.27, bodu=38, $$(9 + 8) \cdot 5 \cdot (10 - 4\frac{1}{5})=\textcolor{white}{493}$$return { ["body"] = 38, ["id"] = "NnGjDp_0712_1704", ["obtiznost"] = 0.47, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 493, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2465}{5}", ["typ"] = "cislo" }, ["tex"] = "493", ["x"] = 493 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "(9 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(9 + 8) \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "10 - 4\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(10 - 4\\frac{1}{5})", ["typ"] = "zavorka" }, ["render"] = "(9 + 8) \\cdot 5 \\cdot (10 - 4\\frac{1}{5})", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.28, bodu=61, $$\frac{9 + (\frac{(8 - 9)^3}{8})^3}{3\frac{3}{9}}=\textcolor{white}{2\frac{3581}{5120}}$$return { ["body"] = 61, ["id"] = "9K6zUw_0712_1704", ["obtiznost"] = 0.686, ["reseni"] = { ["float"] = 2.6994140625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13821, ["jmenovatel"] = 5120 }, ["render"] = "\\frac{13821}{5120}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{3581}{5120}", ["x"] = 2, ["y"] = 3581, ["z"] = 5120 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(8 - 9)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(8 - 9)^3}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{(8 - 9)^3}{8})^3", ["typ"] = "mocnina" }, ["render"] = "9 + (\\frac{(8 - 9)^3}{8})^3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + (\\frac{(8 - 9)^3}{8})^3}{3\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.29, bodu=40, $$(\frac{1\frac{1}{4} + 5}{5} - 10) \cdot -7=\textcolor{white}{61{,}25}$$return { ["body"] = 40, ["id"] = "aNRJlT_0712_1704", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 61.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 245, ["jmenovatel"] = 4 }, ["render"] = "\\frac{245}{4}", ["typ"] = "cislo" }, ["tex"] = "61\\frac{1}{4}", ["tex_float"] = "61{,}25", ["x"] = 61, ["y"] = 1, ["z"] = 4 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.29", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} + 5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{4} + 5}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{4} + 5}{5} - 10", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{1}{4} + 5}{5} - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(\\frac{1\\frac{1}{4} + 5}{5} - 10) \\cdot -7", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.3, bodu=41, $$\frac{9}{7 \cdot (-8 - 1\frac{5}{12})}=\textcolor{white}{-\frac{108}{791}}$$return { ["body"] = 41, ["id"] = "Cueeny_0712_1704", ["obtiznost"] = 0.5, ["reseni"] = { ["float"] = -0.13653603034134, ["objekt"] = { ["hodnota"] = { ["citatel"] = -108, ["jmenovatel"] = 791 }, ["render"] = "\\frac{108}{-791}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{108}{791}", ["y"] = -108, ["z"] = 791 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "-8 - 1\\frac{5}{12}", ["typ"] = "minus" }, ["render"] = "(-8 - 1\\frac{5}{12})", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (-8 - 1\\frac{5}{12})", ["typ"] = "krat" }, ["render"] = "\\frac{9}{7 \\cdot (-8 - 1\\frac{5}{12})}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.31, bodu=42, $$\frac{2\frac{4}{8}}{-3} - (2 - 8)=\textcolor{white}{5\frac{1}{6}}$$return { ["body"] = 42, ["id"] = "AGoNo4_0712_1704", ["obtiznost"] = 0.51, ["reseni"] = { ["float"] = 5.1666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 6 }, ["render"] = "\\frac{31}{6}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{6}", ["x"] = 5, ["y"] = 1, ["z"] = 6 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{8}}{-3}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2 - 8", ["typ"] = "minus" }, ["render"] = "(2 - 8)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{4}{8}}{-3} - (2 - 8)", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.32, bodu=46, $$\frac{11}{(4\frac{2}{7} + 7 + (-8) - 4)^2}=\textcolor{white}{21{,}56}$$return { ["body"] = 46, ["id"] = "JA0AJu_0712_1704", ["obtiznost"] = 0.5496, ["reseni"] = { ["float"] = 21.56, ["objekt"] = { ["hodnota"] = { ["citatel"] = 539, ["jmenovatel"] = 25 }, ["render"] = "\\frac{539}{25}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{14}{25}", ["tex_float"] = "21{,}56", ["x"] = 21, ["y"] = 14, ["z"] = 25 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.32", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "7 + (-8)", ["typ"] = "plus" }, ["render"] = "4\\frac{2}{7} + 7 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{7} + 7 + (-8) - 4", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{7} + 7 + (-8) - 4)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{11}{(4\\frac{2}{7} + 7 + (-8) - 4)^2}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.33, bodu=14, $$(7 + (9 - 9)^2)^2 \cdot -8 \cdot 9=\textcolor{white}{-3528}$$return { ["body"] = 14, ["id"] = "QjELwV_0712_1704", ["obtiznost"] = 0.3504, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -3528, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-3528}{1}", ["typ"] = "cislo" }, ["tex"] = "-3528", ["tex_float"] = "-3528", ["x"] = -3528 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.33", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "7 + (9 - 9)^2", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + (9 - 9)^2)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 9", ["typ"] = "krat" }, ["render"] = "(7 + (9 - 9)^2)^2 \\cdot -8 \\cdot 9", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.34, bodu=13, $$-11 + (-13) - (6 + (-12)) \cdot -10=\textcolor{white}{-84}$$return { ["body"] = 13, ["id"] = "SBYuqC_0712_1704", ["obtiznost"] = 0.34, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -84, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-84}{1}", ["typ"] = "cislo" }, ["tex"] = "-84", ["x"] = -84 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-11 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "6 + (-12)", ["typ"] = "plus" }, ["render"] = "(6 + (-12))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(6 + (-12)) \\cdot -10", ["typ"] = "krat" }, ["render"] = "-11 + (-13) - (6 + (-12)) \\cdot -10", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.35, bodu=28, $$\frac{10 \cdot -15}{(7 - 7)^2 + 4}=\textcolor{white}{-37{,}5}$$return { ["body"] = 28, ["id"] = "OQWKnY_0712_1704", ["obtiznost"] = 0.3504, ["reseni"] = { ["float"] = -37.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -75, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-150}{4}", ["typ"] = "cislo" }, ["tex"] = "-37\\frac{1}{2}", ["tex_float"] = "-37{,}5", ["x"] = -37, ["y"] = 1, ["z"] = 2 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(7 - 7)^2 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{10 \\cdot -15}{(7 - 7)^2 + 4}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.36, bodu=47, $$\frac{\frac{-9}{3\frac{1}{6}}}{-11 + 8}=\textcolor{white}{\frac{18}{19}}$$return { ["body"] = 47, ["id"] = "9IsYBA_0712_1704", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 0.94736842105263, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-54}{-57}", ["typ"] = "cislo" }, ["tex"] = "\\frac{18}{19}", ["y"] = 18, ["z"] = 19 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-11 + 8", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-9}{3\\frac{1}{6}}}{-11 + 8}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.37, bodu=61, $$2\frac{5}{10} \cdot (6 + 9 + (\frac{-16}{7})^2)=\textcolor{white}{50\frac{55}{98}}$$return { ["body"] = 61, ["id"] = "qaIkvJ_0712_1704", ["obtiznost"] = 0.692, ["reseni"] = { ["float"] = 50.561224489796, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4955, ["jmenovatel"] = 98 }, ["render"] = "\\frac{4955}{98}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{55}{98}", ["x"] = 50, ["y"] = 55, ["z"] = 98 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "6 + 9", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-16}{7})^2", ["typ"] = "mocnina" }, ["render"] = "6 + 9 + (\\frac{-16}{7})^2", ["typ"] = "plus" }, ["render"] = "(6 + 9 + (\\frac{-16}{7})^2)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{5}{10} \\cdot (6 + 9 + (\\frac{-16}{7})^2)", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.38, bodu=140, $$8 + (-8) + 2\frac{1}{4} + (2\frac{1}{6} \cdot 1\frac{2}{6})^2=\textcolor{white}{10\frac{193}{324}}$$return { ["body"] = 140, ["id"] = "4RizET_0712_1704", ["obtiznost"] = 1.2828, ["reseni"] = { ["float"] = 10.595679012346, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3433, ["jmenovatel"] = 324 }, ["render"] = "\\frac{3433}{324}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{193}{324}", ["x"] = 10, ["y"] = 193, ["z"] = 324 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "8 + (-8) + 2\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot 1\\frac{2}{6}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{1}{6} \\cdot 1\\frac{2}{6})^2", ["typ"] = "mocnina" }, ["render"] = "8 + (-8) + 2\\frac{1}{4} + (2\\frac{1}{6} \\cdot 1\\frac{2}{6})^2", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.39, bodu=84, $$(\frac{\frac{6}{-6}}{3\frac{5}{7}})^2 \cdot 9=\textcolor{white}{\frac{441}{676}}$$return { ["body"] = 84, ["id"] = "jIE69Q_0712_1704", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = 0.65236686390533, ["objekt"] = { ["hodnota"] = { ["citatel"] = 441, ["jmenovatel"] = 676 }, ["render"] = "\\frac{441}{676}", ["typ"] = "cislo" }, ["tex"] = "\\frac{441}{676}", ["y"] = 441, ["z"] = 676 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.39", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{6}{-6}}{3\\frac{5}{7}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{\\frac{6}{-6}}{3\\frac{5}{7}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(\\frac{\\frac{6}{-6}}{3\\frac{5}{7}})^2 \\cdot 9", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.4, bodu=16, $$-3 - (-13 \cdot -12) - (5 + (-12))=\textcolor{white}{-152}$$return { ["body"] = 16, ["id"] = "5b6ii3_0712_1704", ["obtiznost"] = 0.4, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -152, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-152}{1}", ["typ"] = "cislo" }, ["tex"] = "-152", ["x"] = -152 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -12", ["typ"] = "krat" }, ["render"] = "-3 - (-13 \\cdot -12)", ["typ"] = "minus" }, ["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"] = "plus" }, ["render"] = "(5 + (-12))", ["typ"] = "zavorka" }, ["render"] = "-3 - (-13 \\cdot -12) - (5 + (-12))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.41, bodu=85, $$\frac{-13 + 1\frac{3}{6} + (\frac{-12}{7 + 8})^3}{1\frac{3}{6}}=\textcolor{white}{-8{,}008}$$return { ["body"] = 85, ["id"] = "gFfcWm_0712_1704", ["obtiznost"] = 0.8856, ["reseni"] = { ["float"] = -8.008, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1001, ["jmenovatel"] = 125 }, ["render"] = "\\frac{-6006}{750}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{1}{125}", ["tex_float"] = "-8{,}008", ["x"] = -8, ["y"] = 1, ["z"] = 125 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-13 + 1\\frac{3}{6}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 + 8", ["typ"] = "plus" }, ["render"] = "\\frac{-12}{7 + 8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-12}{7 + 8})^3", ["typ"] = "mocnina" }, ["render"] = "-13 + 1\\frac{3}{6} + (\\frac{-12}{7 + 8})^3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 + 1\\frac{3}{6} + (\\frac{-12}{7 + 8})^3}{1\\frac{3}{6}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.42, bodu=102, $$13 + \frac{1\frac{2}{8}}{(-7 + 3\frac{2}{9}) \cdot 3\frac{1}{2}}=\textcolor{white}{12\frac{431}{476}}$$return { ["body"] = 102, ["id"] = "lAaZXr_0712_1704", ["obtiznost"] = 1.02, ["reseni"] = { ["float"] = 12.905462184874, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6143, ["jmenovatel"] = 476 }, ["render"] = "\\frac{6143}{476}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{431}{476}", ["x"] = 12, ["y"] = 431, ["z"] = 476 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "-7 + 3\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "(-7 + 3\\frac{2}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "(-7 + 3\\frac{2}{9}) \\cdot 3\\frac{1}{2}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{2}{8}}{(-7 + 3\\frac{2}{9}) \\cdot 3\\frac{1}{2}}", ["typ"] = "lomeno" }, ["render"] = "13 + \\frac{1\\frac{2}{8}}{(-7 + 3\\frac{2}{9}) \\cdot 3\\frac{1}{2}}", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.43, bodu=35, $$-11 - (17 + \frac{-10}{8} - (9 + (-6)))=\textcolor{white}{-23{,}75}$$return { ["body"] = 35, ["id"] = "Pal6Db_0712_1704", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = -23.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -95, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-95}{4}", ["typ"] = "cislo" }, ["tex"] = "-23\\frac{3}{4}", ["tex_float"] = "-23{,}75", ["x"] = -23, ["y"] = 3, ["z"] = 4 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.43", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{8}", ["typ"] = "lomeno" }, ["render"] = "17 + \\frac{-10}{8}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "9 + (-6)", ["typ"] = "plus" }, ["render"] = "(9 + (-6))", ["typ"] = "zavorka" }, ["render"] = "17 + \\frac{-10}{8} - (9 + (-6))", ["typ"] = "minus" }, ["render"] = "(17 + \\frac{-10}{8} - (9 + (-6)))", ["typ"] = "zavorka" }, ["render"] = "-11 - (17 + \\frac{-10}{8} - (9 + (-6)))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.44, bodu=79, $$(3\frac{1}{6} - 16 - (-14)) \cdot (4\frac{4}{10} - 10)=\textcolor{white}{-6\frac{8}{15}}$$return { ["body"] = 79, ["id"] = "AX3N8H_0712_1704", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = -6.5333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -98, ["jmenovatel"] = 15 }, ["render"] = "\\frac{-196}{30}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{8}{15}", ["x"] = -6, ["y"] = 8, ["z"] = 15 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.44", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} - 16", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} - 16 - (-14)", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{6} - 16 - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} - 10", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{10} - 10)", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{1}{6} - 16 - (-14)) \\cdot (4\\frac{4}{10} - 10)", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.45, bodu=37, $$8 + (-7 \cdot \frac{15}{-9} + (-11))=\textcolor{white}{8\frac{2}{3}}$$return { ["body"] = 37, ["id"] = "FI75Xp_0712_1704", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = 8.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 3 }, ["render"] = "\\frac{26}{3}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{2}{3}", ["x"] = 8, ["y"] = 2, ["z"] = 3 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.45", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-9}", ["typ"] = "lomeno" }, ["render"] = "-7 \\cdot \\frac{15}{-9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot \\frac{15}{-9} + (-11)", ["typ"] = "plus" }, ["render"] = "8 + (-7 \\cdot \\frac{15}{-9} + (-11))", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.46, bodu=21, $$-10 + (-17 - (-5))^2 - (-10) - (9 - (-7))=\textcolor{white}{128}$$return { ["body"] = 21, ["id"] = "zcKYMJ_0712_1704", ["obtiznost"] = 0.518, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 128, ["jmenovatel"] = 1 }, ["render"] = "\\frac{128}{1}", ["typ"] = "cislo" }, ["tex"] = "128", ["tex_float"] = "128", ["x"] = 128 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-17 - (-5)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-17 - (-5))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(-17 - (-5))^2 - (-10)", ["typ"] = "minus" }, ["render"] = "-10 + (-17 - (-5))^2 - (-10)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "9 - (-7)", ["typ"] = "minus" }, ["render"] = "(9 - (-7))", ["typ"] = "zavorka" }, ["render"] = "-10 + (-17 - (-5))^2 - (-10) - (9 - (-7))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.47, bodu=70, $$(12 + 4\frac{5}{10} - 15) \cdot (7 + (\frac{13}{-9})^2)=\textcolor{white}{13\frac{17}{27}}$$return { ["body"] = 70, ["id"] = "FAGhGS_0712_1704", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 13.62962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = 368, ["jmenovatel"] = 27 }, ["render"] = "\\frac{2208}{162}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{17}{27}", ["x"] = 13, ["y"] = 17, ["z"] = 27 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.47", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "12 + 4\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "12 + 4\\frac{5}{10} - 15", ["typ"] = "minus" }, ["render"] = "(12 + 4\\frac{5}{10} - 15)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{13}{-9})^2", ["typ"] = "mocnina" }, ["render"] = "7 + (\\frac{13}{-9})^2", ["typ"] = "plus" }, ["render"] = "(7 + (\\frac{13}{-9})^2)", ["typ"] = "zavorka" }, ["render"] = "(12 + 4\\frac{5}{10} - 15) \\cdot (7 + (\\frac{13}{-9})^2)", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.48, bodu=111, $$\frac{-10 + 3\frac{1}{5} + 3\frac{3}{11}}{-5 - 10} + 4\frac{4}{7}=\textcolor{white}{4\frac{4658}{5775}}$$return { ["body"] = 111, ["id"] = "YCQyoZ_0712_1704", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 4.8065800865801, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27758, ["jmenovatel"] = 5775 }, ["render"] = "\\frac{27758}{5775}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{4658}{5775}", ["x"] = 4, ["y"] = 4658, ["z"] = 5775 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} + 3\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "-10 + 3\\frac{1}{5} + 3\\frac{3}{11}", ["typ"] = "plus" }, ["c2"] = { ["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" }, ["render"] = "\\frac{-10 + 3\\frac{1}{5} + 3\\frac{3}{11}}{-5 - 10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 + 3\\frac{1}{5} + 3\\frac{3}{11}}{-5 - 10} + 4\\frac{4}{7}", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.49, bodu=85, $$(-8 - 2\frac{4}{7}) \cdot 1\frac{4}{7} \cdot 8 - 10=\textcolor{white}{-142\frac{44}{49}}$$return { ["body"] = 85, ["id"] = "FHxFNi_0712_1704", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -142.89795918367, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7002, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-7002}{49}", ["typ"] = "cislo" }, ["tex"] = "-142\\frac{44}{49}", ["x"] = -142, ["y"] = 44, ["z"] = 49 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-8 - 2\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "(-8 - 2\\frac{4}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot 8", ["typ"] = "krat" }, ["render"] = "(-8 - 2\\frac{4}{7}) \\cdot 1\\frac{4}{7} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(-8 - 2\\frac{4}{7}) \\cdot 1\\frac{4}{7} \\cdot 8 - 10", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.5, bodu=42, $$\frac{(\frac{-10}{-5})^4 \cdot 8}{-9}=\textcolor{white}{-14\frac{2}{9}}$$return { ["body"] = 42, ["id"] = "6LQyN0_0712_1704", ["obtiznost"] = 0.5068, ["reseni"] = { ["float"] = -14.222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -128, ["jmenovatel"] = 9 }, ["render"] = "\\frac{128}{-9}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{2}{9}", ["x"] = -14, ["y"] = 2, ["z"] = 9 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{-5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-10}{-5})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{-10}{-5})^4 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-10}{-5})^4 \\cdot 8}{-9}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.51, bodu=42, $$\frac{11}{-11} - (-10 - (9 + (-10))^4 + (-10))=\textcolor{white}{20}$$return { ["body"] = 42, ["id"] = "RzXVGb_0712_1704", ["obtiznost"] = 0.5108, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "\\frac{20}{1}", ["typ"] = "cislo" }, ["tex"] = "20", ["tex_float"] = "20", ["x"] = 20 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "9 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(9 + (-10))^4", ["typ"] = "mocnina" }, ["render"] = "-10 - (9 + (-10))^4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-10 - (9 + (-10))^4 + (-10)", ["typ"] = "plus" }, ["render"] = "(-10 - (9 + (-10))^4 + (-10))", ["typ"] = "zavorka" }, ["render"] = "\\frac{11}{-11} - (-10 - (9 + (-10))^4 + (-10))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.52, bodu=65, $$(\frac{14 \cdot (8 - 8)^4}{4\frac{3}{9}})^2 + (-9)=\textcolor{white}{-9}$$return { ["body"] = 65, ["id"] = "EIua3s_0712_1704", ["obtiznost"] = 0.7208, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-9}{1}", ["typ"] = "cislo" }, ["tex"] = "-9", ["x"] = -9 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.52", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 - 8", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(8 - 8)^4", ["typ"] = "mocnina" }, ["render"] = "14 \\cdot (8 - 8)^4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{14 \\cdot (8 - 8)^4}{4\\frac{3}{9}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{14 \\cdot (8 - 8)^4}{4\\frac{3}{9}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(\\frac{14 \\cdot (8 - 8)^4}{4\\frac{3}{9}})^2 + (-9)", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.53, bodu=83, $$-7 \cdot ((\frac{-7}{9} \cdot 4)^2 + 14)=\textcolor{white}{-165\frac{61}{81}}$$return { ["body"] = 83, ["id"] = "CvcPMa_0712_1704", ["obtiznost"] = 0.876, ["reseni"] = { ["float"] = -165.75308641975, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13426, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-13426}{81}", ["typ"] = "cislo" }, ["tex"] = "-165\\frac{61}{81}", ["x"] = -165, ["y"] = 61, ["z"] = 81 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["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"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{9} \\cdot 4", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-7}{9} \\cdot 4)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(\\frac{-7}{9} \\cdot 4)^2 + 14", ["typ"] = "plus" }, ["render"] = "((\\frac{-7}{9} \\cdot 4)^2 + 14)", ["typ"] = "zavorka" }, ["render"] = "-7 \\cdot ((\\frac{-7}{9} \\cdot 4)^2 + 14)", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.54, bodu=67, $$(-9 - 4\frac{2}{6}) \cdot (-9 + 11 - (-10))=\textcolor{white}{-160}$$return { ["body"] = 67, ["id"] = "XA6aBi_0712_1704", ["obtiznost"] = 0.74, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -160, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-480}{3}", ["typ"] = "cislo" }, ["tex"] = "-160", ["x"] = -160 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.54", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(-9 - 4\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-9 + 11 - (-10)", ["typ"] = "minus" }, ["render"] = "(-9 + 11 - (-10))", ["typ"] = "zavorka" }, ["render"] = "(-9 - 4\\frac{2}{6}) \\cdot (-9 + 11 - (-10))", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.55, bodu=68, $$\frac{(15 + (-14)) \cdot 1\frac{4}{11}}{8} \cdot 5=\textcolor{white}{\frac{75}{88}}$$return { ["body"] = 68, ["id"] = "kPLPya_0712_1704", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = 0.85227272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 75, ["jmenovatel"] = 88 }, ["render"] = "\\frac{75}{88}", ["typ"] = "cislo" }, ["tex"] = "\\frac{75}{88}", ["y"] = 75, ["z"] = 88 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "15 + (-14)", ["typ"] = "plus" }, ["render"] = "(15 + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "(15 + (-14)) \\cdot 1\\frac{4}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(15 + (-14)) \\cdot 1\\frac{4}{11}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{(15 + (-14)) \\cdot 1\\frac{4}{11}}{8} \\cdot 5", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.56, bodu=94, $$\frac{-16 + (18 + (-8) - 9)^4}{1\frac{3}{8} \cdot 2\frac{3}{8}}=\textcolor{white}{-4\frac{124}{209}}$$return { ["body"] = 94, ["id"] = "tqmJIB_0712_1704", ["obtiznost"] = 0.9608, ["reseni"] = { ["float"] = -4.5933014354067, ["objekt"] = { ["hodnota"] = { ["citatel"] = -960, ["jmenovatel"] = 209 }, ["render"] = "\\frac{-960}{209}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{124}{209}", ["x"] = -4, ["y"] = 124, ["z"] = 209 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "18 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "18 + (-8) - 9", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(18 + (-8) - 9)^4", ["typ"] = "mocnina" }, ["render"] = "-16 + (18 + (-8) - 9)^4", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} \\cdot 2\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{-16 + (18 + (-8) - 9)^4}{1\\frac{3}{8} \\cdot 2\\frac{3}{8}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.57, bodu=70, $$(12 - (7 + 2\frac{1}{7}) - 9) \cdot (-15 - (-13))=\textcolor{white}{12\frac{2}{7}}$$return { ["body"] = 70, ["id"] = "0e1b9C_0712_1704", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 12.285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 86, ["jmenovatel"] = 7 }, ["render"] = "\\frac{86}{7}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{2}{7}", ["x"] = 12, ["y"] = 2, ["z"] = 7 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.57", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "7 + 2\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "(7 + 2\\frac{1}{7})", ["typ"] = "zavorka" }, ["render"] = "12 - (7 + 2\\frac{1}{7})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 - (7 + 2\\frac{1}{7}) - 9", ["typ"] = "minus" }, ["render"] = "(12 - (7 + 2\\frac{1}{7}) - 9)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-15 - (-13)", ["typ"] = "minus" }, ["render"] = "(-15 - (-13))", ["typ"] = "zavorka" }, ["render"] = "(12 - (7 + 2\\frac{1}{7}) - 9) \\cdot (-15 - (-13))", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.58, bodu=125, $$\frac{\frac{3\frac{4}{8}}{-6} - \frac{4\frac{2}{5}}{4\frac{4}{8}}}{-12}=\textcolor{white}{\frac{281}{2160}}$$return { ["body"] = 125, ["id"] = "ecDXuC_0712_1704", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = 0.13009259259259, ["objekt"] = { ["hodnota"] = { ["citatel"] = 281, ["jmenovatel"] = 2160 }, ["render"] = "\\frac{-281}{-2160}", ["typ"] = "cislo" }, ["tex"] = "\\frac{281}{2160}", ["y"] = 281, ["z"] = 2160 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{8}}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{5}}{4\\frac{4}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{4}{8}}{-6} - \\frac{4\\frac{2}{5}}{4\\frac{4}{8}}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{4}{8}}{-6} - \\frac{4\\frac{2}{5}}{4\\frac{4}{8}}}{-12}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.59, bodu=50, $$\frac{\frac{8}{-14} + 9 + (-5) - (-8)}{11}=\textcolor{white}{1\frac{3}{77}}$$return { ["body"] = 50, ["id"] = "LumzPo_0712_1704", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = 1.038961038961, ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 77 }, ["render"] = "\\frac{80}{77}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{3}{77}", ["x"] = 1, ["y"] = 3, ["z"] = 77 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-14} + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-14} + 9 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-14} + 9 + (-5) - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{8}{-14} + 9 + (-5) - (-8)}{11}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.6, bodu=100, $$(\frac{-20}{1\frac{3}{8}} \cdot 4\frac{1}{9} - (12 + 8)) \cdot -7=\textcolor{white}{558\frac{58}{99}}$$return { ["body"] = 100, ["id"] = "BA08Tu_0712_1704", ["obtiznost"] = 1, ["reseni"] = { ["float"] = 558.58585858586, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55300, ["jmenovatel"] = 99 }, ["render"] = "\\frac{55300}{99}", ["typ"] = "cislo" }, ["tex"] = "558\\frac{58}{99}", ["x"] = 558, ["y"] = 58, ["z"] = 99 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.6", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-20}{1\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-20}{1\\frac{3}{8}} \\cdot 4\\frac{1}{9}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 + 8", ["typ"] = "plus" }, ["render"] = "(12 + 8)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-20}{1\\frac{3}{8}} \\cdot 4\\frac{1}{9} - (12 + 8)", ["typ"] = "minus" }, ["render"] = "(\\frac{-20}{1\\frac{3}{8}} \\cdot 4\\frac{1}{9} - (12 + 8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(\\frac{-20}{1\\frac{3}{8}} \\cdot 4\\frac{1}{9} - (12 + 8)) \\cdot -7", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.61, bodu=75, $$-18 + \frac{-17}{14} - (-17) - \frac{4\frac{4}{10}}{-8}=\textcolor{white}{-1\frac{93}{140}}$$return { ["body"] = 75, ["id"] = "NLaHCh_0712_1704", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -1.6642857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -233, ["jmenovatel"] = 140 }, ["render"] = "\\frac{-466}{280}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{93}{140}", ["x"] = -1, ["y"] = 93, ["z"] = 140 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{14}", ["typ"] = "lomeno" }, ["render"] = "-18 + \\frac{-17}{14}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-18 + \\frac{-17}{14} - (-17)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{10}}{-8}", ["typ"] = "lomeno" }, ["render"] = "-18 + \\frac{-17}{14} - (-17) - \\frac{4\\frac{4}{10}}{-8}", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.62, bodu=27, $$(10 \cdot (11 + 13) + (18 - 12)^2) \cdot 18=\textcolor{white}{4968}$$return { ["body"] = 27, ["id"] = "7R88Dy_0712_1704", ["obtiznost"] = 0.6348, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4968, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4968}{1}", ["typ"] = "cislo" }, ["tex"] = "4968", ["tex_float"] = "4968", ["x"] = 4968 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.62", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "11 + 13", ["typ"] = "plus" }, ["render"] = "(11 + 13)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (11 + 13)", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "18 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(18 - 12)^2", ["typ"] = "mocnina" }, ["render"] = "10 \\cdot (11 + 13) + (18 - 12)^2", ["typ"] = "plus" }, ["render"] = "(10 \\cdot (11 + 13) + (18 - 12)^2)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "(10 \\cdot (11 + 13) + (18 - 12)^2) \\cdot 18", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.63, bodu=89, $$-18 \cdot 7 - (-10 + 4\frac{4}{9} - (\frac{2}{15})^2)=\textcolor{white}{-120\frac{32}{75}}$$return { ["body"] = 89, ["id"] = "PJVUb8_0712_1704", ["obtiznost"] = 0.9216, ["reseni"] = { ["float"] = -120.42666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9032, ["jmenovatel"] = 75 }, ["render"] = "\\frac{-9032}{75}", ["typ"] = "cislo" }, ["tex"] = "-120\\frac{32}{75}", ["x"] = -120, ["y"] = 32, ["z"] = 75 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-18 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{15}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{2}{15})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{9} - (\\frac{2}{15})^2", ["typ"] = "minus" }, ["render"] = "-10 + 4\\frac{4}{9} - (\\frac{2}{15})^2", ["typ"] = "plus" }, ["render"] = "(-10 + 4\\frac{4}{9} - (\\frac{2}{15})^2)", ["typ"] = "zavorka" }, ["render"] = "-18 \\cdot 7 - (-10 + 4\\frac{4}{9} - (\\frac{2}{15})^2)", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.64, bodu=79, $$1\frac{5}{8} \cdot 14 \cdot ((\frac{20}{-10})^2 + (-8) + 15)=\textcolor{white}{250{,}25}$$return { ["body"] = 79, ["id"] = "SMTdcf_0712_1704", ["obtiznost"] = 0.842, ["reseni"] = { ["float"] = 250.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1001, ["jmenovatel"] = 4 }, ["render"] = "\\frac{1001}{4}", ["typ"] = "cislo" }, ["tex"] = "250\\frac{1}{4}", ["tex_float"] = "250{,}25", ["x"] = 250, ["y"] = 1, ["z"] = 4 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{20}{-10})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(\\frac{20}{-10})^2 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "(\\frac{20}{-10})^2 + (-8) + 15", ["typ"] = "plus" }, ["render"] = "((\\frac{20}{-10})^2 + (-8) + 15)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{8} \\cdot 14 \\cdot ((\\frac{20}{-10})^2 + (-8) + 15)", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.65, bodu=106, $$\frac{4\frac{5}{14} - (-10)}{-14} \cdot \frac{13}{2\frac{3}{11}}=\textcolor{white}{-5\frac{4243}{4900}}$$return { ["body"] = 106, ["id"] = "nmH4ox_0712_1704", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -5.8659183673469, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28743, ["jmenovatel"] = 4900 }, ["render"] = "\\frac{-28743}{4900}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{4243}{4900}", ["x"] = -5, ["y"] = 4243, ["z"] = 4900 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{14} - (-10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{14} - (-10)}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{2\\frac{3}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{5}{14} - (-10)}{-14} \\cdot \\frac{13}{2\\frac{3}{11}}", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.66, bodu=168, $$(3\frac{3}{8} + 7) \cdot \frac{3\frac{2}{7}}{3\frac{4}{9}} \cdot 1\frac{2}{3}=\textcolor{white}{16\frac{859}{1736}}$$return { ["body"] = 168, ["id"] = "5rgSfZ_0712_1704", ["obtiznost"] = 1.46, ["reseni"] = { ["float"] = 16.494815668203, ["objekt"] = { ["hodnota"] = { ["citatel"] = 28635, ["jmenovatel"] = 1736 }, ["render"] = "\\frac{28635}{1736}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{859}{1736}", ["x"] = 16, ["y"] = 859, ["z"] = 1736 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.66", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 7", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{8} + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{3\\frac{4}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{3\\frac{4}{9}} \\cdot 1\\frac{2}{3}", ["typ"] = "krat" }, ["render"] = "(3\\frac{3}{8} + 7) \\cdot \\frac{3\\frac{2}{7}}{3\\frac{4}{9}} \\cdot 1\\frac{2}{3}", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.67, bodu=170, $$\frac{5}{3\frac{1}{5} \cdot (1\frac{5}{13} \cdot 3\frac{3}{11} - 2\frac{4}{12})}=\textcolor{white}{\frac{10725}{15088}}$$return { ["body"] = 170, ["id"] = "utarmc_0712_1704", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = 0.71082979851538, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10725, ["jmenovatel"] = 15088 }, ["render"] = "\\frac{10725}{15088}", ["typ"] = "cislo" }, ["tex"] = "\\frac{10725}{15088}", ["y"] = 10725, ["z"] = 15088 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.67", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} \\cdot 3\\frac{3}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} \\cdot 3\\frac{3}{11} - 2\\frac{4}{12}", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{13} \\cdot 3\\frac{3}{11} - 2\\frac{4}{12})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{5} \\cdot (1\\frac{5}{13} \\cdot 3\\frac{3}{11} - 2\\frac{4}{12})", ["typ"] = "krat" }, ["render"] = "\\frac{5}{3\\frac{1}{5} \\cdot (1\\frac{5}{13} \\cdot 3\\frac{3}{11} - 2\\frac{4}{12})}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.68, bodu=84, $$3\frac{1}{6} \cdot (9 - 15 - (13 - \frac{11}{12}))=\textcolor{white}{-57\frac{19}{72}}$$return { ["body"] = 84, ["id"] = "jVkJ5X_0712_1704", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = -57.263888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4123, ["jmenovatel"] = 72 }, ["render"] = "\\frac{-4123}{72}", ["typ"] = "cislo" }, ["tex"] = "-57\\frac{19}{72}", ["x"] = -57, ["y"] = 19, ["z"] = 72 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.68", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "9 - 15", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{12}", ["typ"] = "lomeno" }, ["render"] = "13 - \\frac{11}{12}", ["typ"] = "minus" }, ["render"] = "(13 - \\frac{11}{12})", ["typ"] = "zavorka" }, ["render"] = "9 - 15 - (13 - \\frac{11}{12})", ["typ"] = "minus" }, ["render"] = "(9 - 15 - (13 - \\frac{11}{12}))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{6} \\cdot (9 - 15 - (13 - \\frac{11}{12}))", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.69, bodu=61, $$\frac{-8}{13} - (-13 + (-8)) - 9 \cdot 5=\textcolor{white}{-24\frac{8}{13}}$$return { ["body"] = 61, ["id"] = "XIX67t_0712_1704", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = -24.615384615385, ["objekt"] = { ["hodnota"] = { ["citatel"] = -320, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-320}{13}", ["typ"] = "cislo" }, ["tex"] = "-24\\frac{8}{13}", ["x"] = -24, ["y"] = 8, ["z"] = 13 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-13 + (-8)", ["typ"] = "plus" }, ["render"] = "(-13 + (-8))", ["typ"] = "zavorka" }, ["render"] = "\\frac{-8}{13} - (-13 + (-8))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 5", ["typ"] = "krat" }, ["render"] = "\\frac{-8}{13} - (-13 + (-8)) - 9 \\cdot 5", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.7, bodu=86, $$(9 - 19) \cdot \frac{\frac{8}{-15 + 3\frac{3}{12}}}{9}=\textcolor{white}{\frac{320}{423}}$$return { ["body"] = 86, ["id"] = "Ulkqf9_0712_1704", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 0.7565011820331, ["objekt"] = { ["hodnota"] = { ["citatel"] = 320, ["jmenovatel"] = 423 }, ["render"] = "\\frac{320}{423}", ["typ"] = "cislo" }, ["tex"] = "\\frac{320}{423}", ["y"] = 320, ["z"] = 423 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.7", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "9 - 19", ["typ"] = "minus" }, ["render"] = "(9 - 19)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "-15 + 3\\frac{3}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{8}{-15 + 3\\frac{3}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{8}{-15 + 3\\frac{3}{12}}}{9}", ["typ"] = "lomeno" }, ["render"] = "(9 - 19) \\cdot \\frac{\\frac{8}{-15 + 3\\frac{3}{12}}}{9}", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.71, bodu=144, $$\frac{\frac{13}{1\frac{5}{9}}}{4\frac{1}{3} - \frac{-9}{2\frac{1}{6}}}=\textcolor{white}{\frac{4563}{4634}}$$return { ["body"] = 144, ["id"] = "m7lmva_0712_1704", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = 0.98467846353043, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4563, ["jmenovatel"] = 4634 }, ["render"] = "\\frac{4563}{4634}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4563}{4634}", ["y"] = 4563, ["z"] = 4634 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{1\\frac{5}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{3} - \\frac{-9}{2\\frac{1}{6}}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{13}{1\\frac{5}{9}}}{4\\frac{1}{3} - \\frac{-9}{2\\frac{1}{6}}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.72, bodu=178, $$2\frac{5}{11} - 1\frac{5}{7} - (-14) + \frac{8}{4\frac{1}{5}} + 3\frac{1}{7}=\textcolor{white}{19\frac{26}{33}}$$return { ["body"] = 178, ["id"] = "9tOMUW_0712_1704", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = 19.787878787879, ["objekt"] = { ["hodnota"] = { ["citatel"] = 653, ["jmenovatel"] = 33 }, ["render"] = "\\frac{31997}{1617}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{26}{33}", ["x"] = 19, ["y"] = 26, ["z"] = 33 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{11} - 1\\frac{5}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{11} - 1\\frac{5}{7} - (-14)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{4\\frac{1}{5}} + 3\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{11} - 1\\frac{5}{7} - (-14) + \\frac{8}{4\\frac{1}{5}} + 3\\frac{1}{7}", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.73, bodu=130, $$\frac{1\frac{4}{10} \cdot -4}{(-10 - (-4))^3 \cdot -12 + 3\frac{3}{9}}=\textcolor{white}{-\frac{42}{19465}}$$return { ["body"] = 130, ["id"] = "5DYNnY_0712_1704", ["obtiznost"] = 1.2168, ["reseni"] = { ["float"] = -0.0021577189827896, ["objekt"] = { ["hodnota"] = { ["citatel"] = -42, ["jmenovatel"] = 19465 }, ["render"] = "\\frac{-84}{38930}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{42}{19465}", ["y"] = -42, ["z"] = 19465 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} \\cdot -4", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(-10 - (-4))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(-10 - (-4))^3 \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "(-10 - (-4))^3 \\cdot -12 + 3\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{4}{10} \\cdot -4}{(-10 - (-4))^3 \\cdot -12 + 3\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.74, bodu=136, $$\frac{\frac{-7}{9 + 2\frac{2}{8} + 5}}{(-11 + (-17))^2}=\textcolor{white}{-\frac{1}{1820}}$$return { ["body"] = 136, ["id"] = "XLB0pc_0712_1704", ["obtiznost"] = 1.254, ["reseni"] = { ["float"] = -0.00054945054945055, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 1820 }, ["render"] = "\\frac{-28}{50960}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{1820}", ["y"] = -1, ["z"] = 1820 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{8} + 5", ["typ"] = "plus" }, ["render"] = "9 + 2\\frac{2}{8} + 5", ["typ"] = "plus" }, ["render"] = "\\frac{-7}{9 + 2\\frac{2}{8} + 5}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-11 + (-17)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-11 + (-17))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{-7}{9 + 2\\frac{2}{8} + 5}}{(-11 + (-17))^2}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.75, bodu=218, $$3\frac{1}{7} - (7 + 1\frac{3}{11}) \cdot (1\frac{2}{4} - (1\frac{1}{7} + 1\frac{4}{9}))=\textcolor{white}{12\frac{191}{1386}}$$return { ["body"] = 218, ["id"] = "7ssYrt_0712_1704", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 12.137806637807, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16823, ["jmenovatel"] = 1386 }, ["render"] = "\\frac{16823}{1386}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{191}{1386}", ["x"] = 12, ["y"] = 191, ["z"] = 1386 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.75", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "7 + 1\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(7 + 1\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{7} + 1\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{7} + 1\\frac{4}{9})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{4} - (1\\frac{1}{7} + 1\\frac{4}{9})", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{4} - (1\\frac{1}{7} + 1\\frac{4}{9}))", ["typ"] = "zavorka" }, ["render"] = "(7 + 1\\frac{3}{11}) \\cdot (1\\frac{2}{4} - (1\\frac{1}{7} + 1\\frac{4}{9}))", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{7} - (7 + 1\\frac{3}{11}) \\cdot (1\\frac{2}{4} - (1\\frac{1}{7} + 1\\frac{4}{9}))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.76, bodu=82, $$\frac{(18 + 5 - 7)^2 \cdot 13}{-12} - (-3)=\textcolor{white}{-274\frac{1}{3}}$$return { ["body"] = 82, ["id"] = "TjqigS_0712_1704", ["obtiznost"] = 0.8628, ["reseni"] = { ["float"] = -274.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -823, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-823}{3}", ["typ"] = "cislo" }, ["tex"] = "-274\\frac{1}{3}", ["x"] = -274, ["y"] = 1, ["z"] = 3 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 - 7", ["typ"] = "minus" }, ["render"] = "18 + 5 - 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(18 + 5 - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(18 + 5 - 7)^2 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{(18 + 5 - 7)^2 \\cdot 13}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{(18 + 5 - 7)^2 \\cdot 13}{-12} - (-3)", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.77, bodu=123, $$\frac{17 - 2\frac{1}{6} \cdot -7}{18 + 16 + 4\frac{3}{9}}=\textcolor{white}{\frac{193}{230}}$$return { ["body"] = 123, ["id"] = "Aa8hqT_0712_1704", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = 0.83913043478261, ["objekt"] = { ["hodnota"] = { ["citatel"] = 193, ["jmenovatel"] = 230 }, ["render"] = "\\frac{579}{690}", ["typ"] = "cislo" }, ["tex"] = "\\frac{193}{230}", ["y"] = 193, ["z"] = 230 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot -7", ["typ"] = "krat" }, ["render"] = "17 - 2\\frac{1}{6} \\cdot -7", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "18 + 16", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "18 + 16 + 4\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{17 - 2\\frac{1}{6} \\cdot -7}{18 + 16 + 4\\frac{3}{9}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.78, bodu=102, $$\frac{10}{\frac{(-6 - (-16))^2}{\frac{4\frac{4}{8}}{11}}}=\textcolor{white}{\frac{9}{220}}$$return { ["body"] = 102, ["id"] = "JlGMlR_0712_1704", ["obtiznost"] = 1.0204, ["reseni"] = { ["float"] = 0.040909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 220 }, ["render"] = "\\frac{90}{2200}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{220}", ["y"] = 9, ["z"] = 220 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-6 - (-16)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-6 - (-16))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(-6 - (-16))^2}{\\frac{4\\frac{4}{8}}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{\\frac{(-6 - (-16))^2}{\\frac{4\\frac{4}{8}}{11}}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.79, bodu=161, $$(4\frac{2}{12} - 8)^2 - 14 \cdot \frac{1\frac{1}{2}}{9}=\textcolor{white}{12\frac{13}{36}}$$return { ["body"] = 161, ["id"] = "95jWCk_0712_1704", ["obtiznost"] = 1.416, ["reseni"] = { ["float"] = 12.361111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 445, ["jmenovatel"] = 36 }, ["render"] = "\\frac{1335}{108}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{13}{36}", ["x"] = 12, ["y"] = 13, ["z"] = 36 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.79", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{12} - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{12} - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{2}}{9}", ["typ"] = "lomeno" }, ["render"] = "14 \\cdot \\frac{1\\frac{1}{2}}{9}", ["typ"] = "krat" }, ["render"] = "(4\\frac{2}{12} - 8)^2 - 14 \\cdot \\frac{1\\frac{1}{2}}{9}", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.8, bodu=183, $$\frac{3\frac{2}{10} + 3\frac{5}{10} - \frac{1\frac{4}{8}}{(16 - 9)^2}}{(-7 - 11)^2}=\textcolor{white}{\frac{817}{39690}}$$return { ["body"] = 183, ["id"] = "FgzWkW_0712_1704", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 0.02058453010834, ["objekt"] = { ["hodnota"] = { ["citatel"] = 817, ["jmenovatel"] = 39690 }, ["render"] = "\\frac{1634}{79380}", ["typ"] = "cislo" }, ["tex"] = "\\frac{817}{39690}", ["y"] = 817, ["z"] = 39690 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{10} + 3\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "16 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(16 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{1\\frac{4}{8}}{(16 - 9)^2}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{2}{10} + 3\\frac{5}{10} - \\frac{1\\frac{4}{8}}{(16 - 9)^2}", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(-7 - 11)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{2}{10} + 3\\frac{5}{10} - \\frac{1\\frac{4}{8}}{(16 - 9)^2}}{(-7 - 11)^2}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.81, bodu=193, $$\frac{1\frac{5}{8} + 16}{\frac{14 - 3\frac{3}{8}}{1\frac{2}{6} \cdot 1\frac{1}{7}}}=\textcolor{white}{2\frac{314}{595}}$$return { ["body"] = 193, ["id"] = "DEvWKy_0712_1704", ["obtiznost"] = 1.61, ["reseni"] = { ["float"] = 2.527731092437, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1504, ["jmenovatel"] = 595 }, ["render"] = "\\frac{36096}{14280}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{314}{595}", ["x"] = 2, ["y"] = 314, ["z"] = 595 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} + 16", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "14 - 3\\frac{3}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} \\cdot 1\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{14 - 3\\frac{3}{8}}{1\\frac{2}{6} \\cdot 1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{8} + 16}{\\frac{14 - 3\\frac{3}{8}}{1\\frac{2}{6} \\cdot 1\\frac{1}{7}}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.82, bodu=163, $$2\frac{3}{5} \cdot \frac{-13 + 1\frac{1}{5}}{(\frac{9}{4\frac{4}{8} \cdot 4})^4}=\textcolor{white}{-490{,}88}$$return { ["body"] = 163, ["id"] = "XDHZED_0712_1704", ["obtiznost"] = 1.4268, ["reseni"] = { ["float"] = -490.88, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12272, ["jmenovatel"] = 25 }, ["render"] = "\\frac{-12272}{25}", ["typ"] = "cislo" }, ["tex"] = "-490\\frac{22}{25}", ["tex_float"] = "-490{,}88", ["x"] = -490, ["y"] = 22, ["z"] = 25 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.82", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-13 + 1\\frac{1}{5}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} \\cdot 4", ["typ"] = "krat" }, ["render"] = "\\frac{9}{4\\frac{4}{8} \\cdot 4}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{9}{4\\frac{4}{8} \\cdot 4})^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{-13 + 1\\frac{1}{5}}{(\\frac{9}{4\\frac{4}{8} \\cdot 4})^4}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{3}{5} \\cdot \\frac{-13 + 1\\frac{1}{5}}{(\\frac{9}{4\\frac{4}{8} \\cdot 4})^4}", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.83, bodu=197, $$2\frac{5}{13} - (-11) - \frac{12}{\frac{4\frac{3}{7}}{1\frac{5}{11}}} \cdot 4\frac{1}{6}=\textcolor{white}{-3\frac{167}{4433}}$$return { ["body"] = 197, ["id"] = "RQ2304_0712_1704", ["obtiznost"] = 1.63, ["reseni"] = { ["float"] = -3.0376720054139, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13466, ["jmenovatel"] = 4433 }, ["render"] = "\\frac{-13466}{4433}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{167}{4433}", ["x"] = -3, ["y"] = 167, ["z"] = 4433 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{13} - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}} \\cdot 4\\frac{1}{6}", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{13} - (-11) - \\frac{12}{\\frac{4\\frac{3}{7}}{1\\frac{5}{11}}} \\cdot 4\\frac{1}{6}", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.84, bodu=159, $$\frac{\frac{(19 - (-11))^2}{4\frac{1}{8}}}{\frac{12}{(-12 - (-12))^2 + 5}}=\textcolor{white}{90\frac{10}{11}}$$return { ["body"] = 159, ["id"] = "zmeywG_0712_1704", ["obtiznost"] = 1.4008, ["reseni"] = { ["float"] = 90.909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1000, ["jmenovatel"] = 11 }, ["render"] = "\\frac{12000}{132}", ["typ"] = "cislo" }, ["tex"] = "90\\frac{10}{11}", ["x"] = 90, ["y"] = 10, ["z"] = 11 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "19 - (-11)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(19 - (-11))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{(19 - (-11))^2}{4\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-12 - (-12)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-12 - (-12))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(-12 - (-12))^2 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{12}{(-12 - (-12))^2 + 5}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{(19 - (-11))^2}{4\\frac{1}{8}}}{\\frac{12}{(-12 - (-12))^2 + 5}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.85, bodu=107, $$(12 - \frac{4\frac{3}{11}}{-10} - 11) \cdot (15 + (-13))^3=\textcolor{white}{11\frac{23}{55}}$$return { ["body"] = 107, ["id"] = "Wdi9xO_0712_1704", ["obtiznost"] = 1.0536, ["reseni"] = { ["float"] = 11.418181818182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 628, ["jmenovatel"] = 55 }, ["render"] = "\\frac{1256}{110}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{23}{55}", ["x"] = 11, ["y"] = 23, ["z"] = 55 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.85", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{11}}{-10}", ["typ"] = "lomeno" }, ["render"] = "12 - \\frac{4\\frac{3}{11}}{-10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "12 - \\frac{4\\frac{3}{11}}{-10} - 11", ["typ"] = "minus" }, ["render"] = "(12 - \\frac{4\\frac{3}{11}}{-10} - 11)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "15 + (-13)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(15 + (-13))^3", ["typ"] = "mocnina" }, ["render"] = "(12 - \\frac{4\\frac{3}{11}}{-10} - 11) \\cdot (15 + (-13))^3", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.86, bodu=202, $$\frac{(3\frac{1}{8} + 20) \cdot (14 + 3\frac{4}{9})}{-19 + 3\frac{2}{10} + 3\frac{5}{12}}=\textcolor{white}{-32\frac{2569}{4458}}$$return { ["body"] = 202, ["id"] = "73z1w8_0712_1704", ["obtiznost"] = 1.66, ["reseni"] = { ["float"] = -32.576267384477, ["objekt"] = { ["hodnota"] = { ["citatel"] = -145225, ["jmenovatel"] = 4458 }, ["render"] = "\\frac{1742700}{-53496}", ["typ"] = "cislo" }, ["tex"] = "-32\\frac{2569}{4458}", ["x"] = -32, ["y"] = 2569, ["z"] = 4458 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} + 20", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{8} + 20)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "14 + 3\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(14 + 3\\frac{4}{9})", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{1}{8} + 20) \\cdot (14 + 3\\frac{4}{9})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "-19 + 3\\frac{2}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "-19 + 3\\frac{2}{10} + 3\\frac{5}{12}", ["typ"] = "plus" }, ["render"] = "\\frac{(3\\frac{1}{8} + 20) \\cdot (14 + 3\\frac{4}{9})}{-19 + 3\\frac{2}{10} + 3\\frac{5}{12}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.87, bodu=204, $$\frac{\frac{3\frac{2}{5} + (-15)}{\frac{2\frac{1}{3} + (-8)}{3\frac{5}{12}}}}{1\frac{4}{8}}=\textcolor{white}{4\frac{169}{255}}$$return { ["body"] = 204, ["id"] = "GNWVRO_0712_1704", ["obtiznost"] = 1.67, ["reseni"] = { ["float"] = 4.6627450980392, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1189, ["jmenovatel"] = 255 }, ["render"] = "\\frac{2378}{510}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{169}{255}", ["x"] = 4, ["y"] = 169, ["z"] = 255 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{5} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{3} + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{3} + (-8)}{3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{2}{5} + (-15)}{\\frac{2\\frac{1}{3} + (-8)}{3\\frac{5}{12}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{2}{5} + (-15)}{\\frac{2\\frac{1}{3} + (-8)}{3\\frac{5}{12}}}}{1\\frac{4}{8}}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.88, bodu=172, $$4\frac{4}{8} \cdot 8 + 1\frac{4}{9} - (-11) + (-19 + 2\frac{1}{2} - 14)=\textcolor{white}{17\frac{17}{18}}$$return { ["body"] = 172, ["id"] = "oRppTE_0712_1704", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = 17.944444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 323, ["jmenovatel"] = 18 }, ["render"] = "\\frac{323}{18}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{17}{18}", ["x"] = 17, ["y"] = 17, ["z"] = 18 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "-19 + 2\\frac{1}{2}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-19 + 2\\frac{1}{2} - 14", ["typ"] = "minus" }, ["render"] = "1\\frac{4}{9} - (-11) + (-19 + 2\\frac{1}{2} - 14)", ["typ"] = "plus" }, ["render"] = "4\\frac{4}{8} \\cdot 8 + 1\\frac{4}{9} - (-11) + (-19 + 2\\frac{1}{2} - 14)", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.89, bodu=173, $$19 \cdot (2\frac{4}{10} \cdot 1\frac{1}{7} + 15) - (-12 - (2\frac{1}{5} + 18))=\textcolor{white}{369\frac{11}{35}}$$return { ["body"] = 173, ["id"] = "j55pEO_0712_1704", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = 369.31428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12926, ["jmenovatel"] = 35 }, ["render"] = "\\frac{64630}{175}", ["typ"] = "cislo" }, ["tex"] = "369\\frac{11}{35}", ["x"] = 369, ["y"] = 11, ["z"] = 35 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} \\cdot 1\\frac{1}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} \\cdot 1\\frac{1}{7} + 15", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{10} \\cdot 1\\frac{1}{7} + 15)", ["typ"] = "zavorka" }, ["render"] = "19 \\cdot (2\\frac{4}{10} \\cdot 1\\frac{1}{7} + 15)", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{5} + 18", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{5} + 18)", ["typ"] = "zavorka" }, ["render"] = "-12 - (2\\frac{1}{5} + 18)", ["typ"] = "minus" }, ["render"] = "(-12 - (2\\frac{1}{5} + 18))", ["typ"] = "zavorka" }, ["render"] = "19 \\cdot (2\\frac{4}{10} \\cdot 1\\frac{1}{7} + 15) - (-12 - (2\\frac{1}{5} + 18))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.9, bodu=209, $$\frac{\frac{4\frac{4}{10}}{9 + 4\frac{2}{8}} + 4\frac{1}{8} - 4\frac{3}{10}}{-7 - (-22)}=\textcolor{white}{\frac{111}{10600}}$$return { ["body"] = 209, ["id"] = "44akrf_0712_1704", ["obtiznost"] = 1.7, ["reseni"] = { ["float"] = 0.010471698113208, ["objekt"] = { ["hodnota"] = { ["citatel"] = 111, ["jmenovatel"] = 10600 }, ["render"] = "\\frac{333}{31800}", ["typ"] = "cislo" }, ["tex"] = "\\frac{111}{10600}", ["y"] = 111, ["z"] = 10600 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "9 + 4\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{4}{10}}{9 + 4\\frac{2}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{8} - 4\\frac{3}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{4}{10}}{9 + 4\\frac{2}{8}} + 4\\frac{1}{8} - 4\\frac{3}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "-7 - (-22)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{4\\frac{4}{10}}{9 + 4\\frac{2}{8}} + 4\\frac{1}{8} - 4\\frac{3}{10}}{-7 - (-22)}", ["typ"] = "lomeno" } }

seed: IYVFHazzBVTdrWBpfslD_0.91, bodu=211, $$(13 + 2\frac{2}{11} + \frac{3\frac{5}{11}}{13}) \cdot (-13 + \frac{1\frac{4}{11}}{4\frac{2}{3}})=\textcolor{white}{-196\frac{6701}{22022}}$$return { ["body"] = 211, ["id"] = "dNdCH8_0712_1704", ["obtiznost"] = 1.71, ["reseni"] = { ["float"] = -196.30428662247, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4323013, ["jmenovatel"] = 22022 }, ["render"] = "\\frac{-4323013}{22022}", ["typ"] = "cislo" }, ["tex"] = "-196\\frac{6701}{22022}", ["x"] = -196, ["y"] = 6701, ["z"] = 22022 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.91", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "13 + 2\\frac{2}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{11}}{13}", ["typ"] = "lomeno" }, ["render"] = "13 + 2\\frac{2}{11} + \\frac{3\\frac{5}{11}}{13}", ["typ"] = "plus" }, ["render"] = "(13 + 2\\frac{2}{11} + \\frac{3\\frac{5}{11}}{13})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{11}}{4\\frac{2}{3}}", ["typ"] = "lomeno" }, ["render"] = "-13 + \\frac{1\\frac{4}{11}}{4\\frac{2}{3}}", ["typ"] = "plus" }, ["render"] = "(-13 + \\frac{1\\frac{4}{11}}{4\\frac{2}{3}})", ["typ"] = "zavorka" }, ["render"] = "(13 + 2\\frac{2}{11} + \\frac{3\\frac{5}{11}}{13}) \\cdot (-13 + \\frac{1\\frac{4}{11}}{4\\frac{2}{3}})", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.92, bodu=146, $$4\frac{3}{14} + 11 - (-18 - (-14 + (-11) - (2\frac{5}{13} + 18) + 15))=\textcolor{white}{2\frac{151}{182}}$$return { ["body"] = 146, ["id"] = "COki61_0712_1704", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 2.8296703296703, ["objekt"] = { ["hodnota"] = { ["citatel"] = 515, ["jmenovatel"] = 182 }, ["render"] = "\\frac{515}{182}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{151}{182}", ["x"] = 2, ["y"] = 151, ["z"] = 182 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 59, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{14} + 11", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-14 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{13} + 18", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{13} + 18)", ["typ"] = "zavorka" }, ["render"] = "-14 + (-11) - (2\\frac{5}{13} + 18)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-14 + (-11) - (2\\frac{5}{13} + 18) + 15", ["typ"] = "plus" }, ["render"] = "(-14 + (-11) - (2\\frac{5}{13} + 18) + 15)", ["typ"] = "zavorka" }, ["render"] = "-18 - (-14 + (-11) - (2\\frac{5}{13} + 18) + 15)", ["typ"] = "minus" }, ["render"] = "(-18 - (-14 + (-11) - (2\\frac{5}{13} + 18) + 15))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{14} + 11 - (-18 - (-14 + (-11) - (2\\frac{5}{13} + 18) + 15))", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.93, bodu=180, $$12 + \frac{2\frac{1}{5} - (-13)}{\frac{4\frac{5}{13}}{-9 \cdot 2\frac{5}{14}}}=\textcolor{white}{-61\frac{19}{35}}$$return { ["body"] = 180, ["id"] = "4uhUyd_0712_1704", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = -61.542857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2154, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-2154}{35}", ["typ"] = "cislo" }, ["tex"] = "-61\\frac{19}{35}", ["x"] = -61, ["y"] = 19, ["z"] = 35 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.93", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{5} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 14 }, ["render"] = "2\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 2\\frac{5}{14}", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{5}{13}}{-9 \\cdot 2\\frac{5}{14}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{1}{5} - (-13)}{\\frac{4\\frac{5}{13}}{-9 \\cdot 2\\frac{5}{14}}}", ["typ"] = "lomeno" }, ["render"] = "12 + \\frac{2\\frac{1}{5} - (-13)}{\\frac{4\\frac{5}{13}}{-9 \\cdot 2\\frac{5}{14}}}", ["typ"] = "plus" } }

seed: IYVFHazzBVTdrWBpfslD_0.94, bodu=181, $$4\frac{4}{6} + 10 - (-9 \cdot (-17 + 4\frac{1}{4} - (-9)) + 1\frac{3}{9} + 16)=\textcolor{white}{-36\frac{5}{12}}$$return { ["body"] = 181, ["id"] = "0Y3atP_0712_1704", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = -36.416666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -437, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-1311}{36}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{5}{12}", ["x"] = -36, ["y"] = 5, ["z"] = 12 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} + 10", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} - (-9)", ["typ"] = "minus" }, ["render"] = "-17 + 4\\frac{1}{4} - (-9)", ["typ"] = "plus" }, ["render"] = "(-17 + 4\\frac{1}{4} - (-9))", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot (-17 + 4\\frac{1}{4} - (-9))", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} + 16", ["typ"] = "plus" }, ["render"] = "-9 \\cdot (-17 + 4\\frac{1}{4} - (-9)) + 1\\frac{3}{9} + 16", ["typ"] = "plus" }, ["render"] = "(-9 \\cdot (-17 + 4\\frac{1}{4} - (-9)) + 1\\frac{3}{9} + 16)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{6} + 10 - (-9 \\cdot (-17 + 4\\frac{1}{4} - (-9)) + 1\\frac{3}{9} + 16)", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.95, bodu=183, $$\frac{3\frac{3}{12} \cdot 3\frac{4}{8}}{6} - (9 - 1\frac{1}{8} + 18)=\textcolor{white}{-23\frac{47}{48}}$$return { ["body"] = 183, ["id"] = "7wNVl5_0712_1704", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = -23.979166666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1151, ["jmenovatel"] = 48 }, ["render"] = "\\frac{-9208}{384}", ["typ"] = "cislo" }, ["tex"] = "-23\\frac{47}{48}", ["x"] = -23, ["y"] = 47, ["z"] = 48 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{12} \\cdot 3\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{12} \\cdot 3\\frac{4}{8}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{1}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{1}{8} + 18", ["typ"] = "plus" }, ["render"] = "(9 - 1\\frac{1}{8} + 18)", ["typ"] = "zavorka" }, ["render"] = "\\frac{3\\frac{3}{12} \\cdot 3\\frac{4}{8}}{6} - (9 - 1\\frac{1}{8} + 18)", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.96, bodu=256, $$11 - 3\frac{1}{3} - 3\frac{5}{11} + 4\frac{4}{8} + 4\frac{2}{8} + (-18) - (-9 - 1\frac{5}{11})=\textcolor{white}{5\frac{5}{12}}$$return { ["body"] = 256, ["id"] = "VAb06s_0712_1704", ["obtiznost"] = 1.96, ["reseni"] = { ["float"] = 5.4166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 12 }, ["render"] = "\\frac{7865}{1452}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{5}{12}", ["x"] = 5, ["y"] = 5, ["z"] = 12 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "11 - 3\\frac{1}{3}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "11 - 3\\frac{1}{3} - 3\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 4\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 4\\frac{2}{8} + (-18)", ["typ"] = "plus" }, ["render"] = "11 - 3\\frac{1}{3} - 3\\frac{5}{11} + 4\\frac{4}{8} + 4\\frac{2}{8} + (-18)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-9 - 1\\frac{5}{11}", ["typ"] = "minus" }, ["render"] = "(-9 - 1\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "11 - 3\\frac{1}{3} - 3\\frac{5}{11} + 4\\frac{4}{8} + 4\\frac{2}{8} + (-18) - (-9 - 1\\frac{5}{11})", ["typ"] = "minus" } }

seed: IYVFHazzBVTdrWBpfslD_0.97, bodu=154, $$\frac{17}{\frac{1\frac{2}{2}}{7}} \cdot \frac{-13 - 1\frac{5}{11}}{3\frac{1}{5}}=\textcolor{white}{-268\frac{269}{352}}$$return { ["body"] = 154, ["id"] = "QGie0P_0712_1704", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = -268.76420454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -94605, ["jmenovatel"] = 352 }, ["render"] = "\\frac{-94605}{352}", ["typ"] = "cislo" }, ["tex"] = "-268\\frac{269}{352}", ["x"] = -268, ["y"] = 269, ["z"] = 352 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "1\\frac{2}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{2}}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{17}{\\frac{1\\frac{2}{2}}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-13 - 1\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 - 1\\frac{5}{11}}{3\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{17}{\\frac{1\\frac{2}{2}}{7}} \\cdot \\frac{-13 - 1\\frac{5}{11}}{3\\frac{1}{5}}", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.98, bodu=160, $$3\frac{3}{11} \cdot -14 \cdot (\frac{-12}{1\frac{1}{7} \cdot 6})^2=\textcolor{white}{-140\frac{7}{22}}$$return { ["body"] = 160, ["id"] = "e1A0bM_0712_1704", ["obtiznost"] = 1.406, ["reseni"] = { ["float"] = -140.31818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3087, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-24696}{176}", ["typ"] = "cislo" }, ["tex"] = "-140\\frac{7}{22}", ["x"] = -140, ["y"] = 7, ["z"] = 22 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{11} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{7} \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{-12}{1\\frac{1}{7} \\cdot 6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-12}{1\\frac{1}{7} \\cdot 6})^2", ["typ"] = "mocnina" }, ["render"] = "3\\frac{3}{11} \\cdot -14 \\cdot (\\frac{-12}{1\\frac{1}{7} \\cdot 6})^2", ["typ"] = "krat" } }

seed: IYVFHazzBVTdrWBpfslD_0.99, bodu=152, $$-20 + (-11 - 7) + \frac{-8}{-8} - (\frac{-23}{20})^2=\textcolor{white}{-38\frac{129}{400}}$$return { ["body"] = 152, ["id"] = "yxO1AN_0712_1704", ["obtiznost"] = 1.3616, ["reseni"] = { ["float"] = -38.3225, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15329, ["jmenovatel"] = 400 }, ["render"] = "\\frac{-15329}{400}", ["typ"] = "cislo" }, ["tex"] = "-38\\frac{129}{400}", ["x"] = -38, ["y"] = 129, ["z"] = 400 }, ["seed"] = "IYVFHazzBVTdrWBpfslD_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-11 - 7", ["typ"] = "minus" }, ["render"] = "-20 + (-11 - 7)", ["typ"] = "plus" }, ["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"] = "-20 + (-11 - 7) + \\frac{-8}{-8}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{-23}{20}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-23}{20})^2", ["typ"] = "mocnina" }, ["render"] = "-20 + (-11 - 7) + \\frac{-8}{-8} - (\\frac{-23}{20})^2", ["typ"] = "minus" } }

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