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Nahodny test, priklady s rostouci obtiznosti...

seed: OfzIHnd1vuGS5qgB7hGE_0, bodu=5, $$(9 - 4 - 5) \cdot 7=\textcolor{white}{0}$$return { ["body"] = 5, ["id"] = "TgilnU_0329_0117", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "9 - 4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "9 - 4 - 5", ["typ"] = "minus" }, ["render"] = "(9 - 4 - 5)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(9 - 4 - 5) \\cdot 7", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.01, bodu=11, $$(\frac{6 - (8 + 5)}{8})^2=\textcolor{white}{\frac{49}{64}}$$return { ["body"] = 11, ["id"] = "LBEXkI_0329_0117", ["obtiznost"] = 0.0552, ["reseni"] = { ["float"] = 0.765625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 64 }, ["render"] = "\\frac{49}{64}", ["typ"] = "cislo" }, ["tex"] = "\\frac{49}{64}", ["y"] = 49, ["z"] = 64 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.01", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "8 + 5", ["typ"] = "plus" }, ["render"] = "(8 + 5)", ["typ"] = "zavorka" }, ["render"] = "6 - (8 + 5)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{6 - (8 + 5)}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6 - (8 + 5)}{8})^2", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.02, bodu=15, $$\frac{(\frac{6}{8})^4}{5}=\textcolor{white}{\frac{81}{1280}}$$return { ["body"] = 15, ["id"] = "3olJg7_0329_0117", ["obtiznost"] = 0.1548, ["reseni"] = { ["float"] = 0.06328125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 1280 }, ["render"] = "\\frac{81}{1280}", ["typ"] = "cislo" }, ["tex"] = "\\frac{81}{1280}", ["y"] = 81, ["z"] = 1280 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.02", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{6}{8})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{6}{8})^4}{5}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.03, bodu=10, $$\frac{4 \cdot 8}{-9}=\textcolor{white}{-3\frac{5}{9}}$$return { ["body"] = 10, ["id"] = "jczWQ3_0329_0117", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = -3.5555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -32, ["jmenovatel"] = 9 }, ["render"] = "\\frac{32}{-9}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{5}{9}", ["x"] = -3, ["y"] = 5, ["z"] = 9 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{4 \\cdot 8}{-9}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.04, bodu=20, $$6 - \frac{10 + 3\frac{5}{6}}{7}=\textcolor{white}{4\frac{1}{42}}$$return { ["body"] = 20, ["id"] = "SSZVUL_0329_0117", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = 4.0238095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = 169, ["jmenovatel"] = 42 }, ["render"] = "\\frac{169}{42}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{1}{42}", ["x"] = 4, ["y"] = 1, ["z"] = 42 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "10 + 3\\frac{5}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10 + 3\\frac{5}{6}}{7}", ["typ"] = "lomeno" }, ["render"] = "6 - \\frac{10 + 3\\frac{5}{6}}{7}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.05, bodu=11, $$\frac{11}{-9 \cdot (-10 - (-6))}=\textcolor{white}{\frac{11}{36}}$$return { ["body"] = 11, ["id"] = "RScVy6_0329_0117", ["obtiznost"] = 0.05, ["reseni"] = { ["float"] = 0.30555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 36 }, ["render"] = "\\frac{11}{36}", ["typ"] = "cislo" }, ["tex"] = "\\frac{11}{36}", ["y"] = 11, ["z"] = 36 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-10 - (-6)", ["typ"] = "minus" }, ["render"] = "(-10 - (-6))", ["typ"] = "zavorka" }, ["render"] = "-9 \\cdot (-10 - (-6))", ["typ"] = "krat" }, ["render"] = "\\frac{11}{-9 \\cdot (-10 - (-6))}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.06, bodu=21, $$6 \cdot 4\frac{3}{4} \cdot -7=\textcolor{white}{-199{,}5}$$return { ["body"] = 21, ["id"] = "aLqQyX_0329_0117", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = -199.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -399, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-399}{2}", ["typ"] = "cislo" }, ["tex"] = "-199\\frac{1}{2}", ["tex_float"] = "-199{,}5", ["x"] = -199, ["y"] = 1, ["z"] = 2 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{3}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{3}{4} \\cdot -7", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.07, bodu=5, $$((8 - 9)^4 - 4) \cdot 2=\textcolor{white}{-6}$$return { ["body"] = 5, ["id"] = "cKh3yM_0329_0117", ["obtiznost"] = 0.0708, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6}{1}", ["typ"] = "cislo" }, ["tex"] = "-6", ["x"] = -6 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.07", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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"] = 4, ["render"] = "(8 - 9)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(8 - 9)^4 - 4", ["typ"] = "minus" }, ["render"] = "((8 - 9)^4 - 4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "((8 - 9)^4 - 4) \\cdot 2", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.08, bodu=12, $$7 + \frac{10 + 7}{7}=\textcolor{white}{9\frac{3}{7}}$$return { ["body"] = 12, ["id"] = "kyGcuo_0329_0117", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 9.4285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 66, ["jmenovatel"] = 7 }, ["render"] = "\\frac{66}{7}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{3}{7}", ["x"] = 9, ["y"] = 3, ["z"] = 7 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10 + 7}{7}", ["typ"] = "lomeno" }, ["render"] = "7 + \\frac{10 + 7}{7}", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.09, bodu=12, $$\frac{8}{-7 \cdot -10}=\textcolor{white}{\frac{4}{35}}$$return { ["body"] = 12, ["id"] = "DSDFJQ_0329_0117", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = 0.11428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 35 }, ["render"] = "\\frac{8}{70}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{35}", ["y"] = 4, ["z"] = 35 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -10", ["typ"] = "krat" }, ["render"] = "\\frac{8}{-7 \\cdot -10}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.1, bodu=12, $$(\frac{3}{3})^3 \cdot 6=\textcolor{white}{6}$$return { ["body"] = 12, ["id"] = "D6OrYA_0329_0117", ["obtiznost"] = 0.1008, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "\\frac{6}{1}", ["typ"] = "cislo" }, ["tex"] = "6", ["x"] = 6 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.1", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{3}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{3}{3})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{3}{3})^3 \\cdot 6", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.11, bodu=6, $$10 - 9 - 2 \cdot 7=\textcolor{white}{-13}$$return { ["body"] = 6, ["id"] = "L7D29j_0329_0117", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-13}{1}", ["typ"] = "cislo" }, ["tex"] = "-13", ["x"] = -13 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 - 9", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "2 \\cdot 7", ["typ"] = "krat" }, ["render"] = "10 - 9 - 2 \\cdot 7", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.12, bodu=6, $$9 \cdot 5 - (-6 - 4)=\textcolor{white}{55}$$return { ["body"] = 6, ["id"] = "9WBWzX_0329_0117", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 1 }, ["render"] = "\\frac{55}{1}", ["typ"] = "cislo" }, ["tex"] = "55", ["tex_float"] = "55", ["x"] = 55 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.12", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-6 - 4", ["typ"] = "minus" }, ["render"] = "(-6 - 4)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot 5 - (-6 - 4)", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.13, bodu=27, $$6 \cdot 2\frac{3}{6} \cdot 5=\textcolor{white}{75}$$return { ["body"] = 27, ["id"] = "LxD2Sk_0329_0117", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 75, ["jmenovatel"] = 1 }, ["render"] = "\\frac{150}{2}", ["typ"] = "cislo" }, ["tex"] = "75", ["tex_float"] = "75", ["x"] = 75 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} \\cdot 5", ["typ"] = "krat" }, ["render"] = "6 \\cdot 2\\frac{3}{6} \\cdot 5", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.14, bodu=19, $$\frac{(6 - (-9))^2}{7 + 3}=\textcolor{white}{22{,}5}$$return { ["body"] = 19, ["id"] = "Gg07mV_0329_0117", ["obtiznost"] = 0.2304, ["reseni"] = { ["float"] = 22.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 2 }, ["render"] = "\\frac{225}{10}", ["typ"] = "cislo" }, ["tex"] = "22\\frac{1}{2}", ["tex_float"] = "22{,}5", ["x"] = 22, ["y"] = 1, ["z"] = 2 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.14", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "6 - (-9)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(6 - (-9))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "7 + 3", ["typ"] = "plus" }, ["render"] = "\\frac{(6 - (-9))^2}{7 + 3}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.15, bodu=19, $$(9 - 5 \cdot 9 + 8)^2=\textcolor{white}{784}$$return { ["body"] = 19, ["id"] = "E9NASr_0329_0117", ["obtiznost"] = 0.464, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 784, ["jmenovatel"] = 1 }, ["render"] = "\\frac{784}{1}", ["typ"] = "cislo" }, ["tex"] = "784", ["tex_float"] = "784", ["x"] = 784 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.15", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["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 \\cdot 9", ["typ"] = "krat" }, ["render"] = "9 - 5 \\cdot 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 - 5 \\cdot 9 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(9 - 5 \\cdot 9 + 8)^2", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.16, bodu=19, $$(\frac{\frac{(-3 - 9)^2}{8}}{-9})^2=\textcolor{white}{4}$$return { ["body"] = 19, ["id"] = "qgNouj_0329_0117", ["obtiznost"] = 0.22, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4}{1}", ["typ"] = "cislo" }, ["tex"] = "4", ["tex_float"] = "4", ["x"] = 4 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.16", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-3 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-3 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(-3 - 9)^2}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{(-3 - 9)^2}{8}}{-9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{\\frac{(-3 - 9)^2}{8}}{-9})^2", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.17, bodu=16, $$\frac{6}{12} \cdot 7=\textcolor{white}{3{,}5}$$return { ["body"] = 16, ["id"] = "uwefNG_0329_0117", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = 3.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "\\frac{7}{2}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{2}", ["tex_float"] = "3{,}5", ["x"] = 3, ["y"] = 1, ["z"] = 2 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{12} \\cdot 7", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.18, bodu=16, $$\frac{11}{6} \cdot 7=\textcolor{white}{12\frac{5}{6}}$$return { ["body"] = 16, ["id"] = "Gyk6iv_0329_0117", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = 12.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 77, ["jmenovatel"] = 6 }, ["render"] = "\\frac{77}{6}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{5}{6}", ["x"] = 12, ["y"] = 5, ["z"] = 6 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{6} \\cdot 7", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.19, bodu=17, $$\frac{7}{5 + (-6 + 11)}=\textcolor{white}{0{,}7}$$return { ["body"] = 17, ["id"] = "fWb5Yu_0329_0117", ["obtiznost"] = 0.19, ["reseni"] = { ["float"] = 0.7, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 10 }, ["render"] = "\\frac{7}{10}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{10}", ["tex_float"] = "0{,}7", ["y"] = 7, ["z"] = 10 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-6 + 11", ["typ"] = "plus" }, ["render"] = "5 + (-6 + 11)", ["typ"] = "plus" }, ["render"] = "\\frac{7}{5 + (-6 + 11)}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.2, bodu=85, $$(6 \cdot 1\frac{3}{6})^3 - \frac{8}{2\frac{5}{10}}=\textcolor{white}{725{,}8}$$return { ["body"] = 85, ["id"] = "o0GZND_0329_0117", ["obtiznost"] = 0.892, ["reseni"] = { ["float"] = 725.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3629, ["jmenovatel"] = 5 }, ["render"] = "\\frac{3629}{5}", ["typ"] = "cislo" }, ["tex"] = "725\\frac{4}{5}", ["tex_float"] = "725{,}8", ["x"] = 725, ["y"] = 4, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.2", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 1\\frac{3}{6}", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(6 \\cdot 1\\frac{3}{6})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "(6 \\cdot 1\\frac{3}{6})^3 - \\frac{8}{2\\frac{5}{10}}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.21, bodu=9, $$((9 - 8)^4 - 8)^2 + 7 - 3=\textcolor{white}{53}$$return { ["body"] = 9, ["id"] = "nih6Lv_0329_0117", ["obtiznost"] = 0.2308, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 1 }, ["render"] = "\\frac{53}{1}", ["typ"] = "cislo" }, ["tex"] = "53", ["tex_float"] = "53", ["x"] = 53 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.21", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 - 8", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(9 - 8)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(9 - 8)^4 - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "((9 - 8)^4 - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "7 - 3", ["typ"] = "minus" }, ["render"] = "((9 - 8)^4 - 8)^2 + 7 - 3", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.22, bodu=34, $$12 - \frac{-8}{\frac{2\frac{1}{2}}{7}}=\textcolor{white}{34{,}4}$$return { ["body"] = 34, ["id"] = "ugSZhm_0329_0117", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = 34.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 172, ["jmenovatel"] = 5 }, ["render"] = "\\frac{172}{5}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{2}{5}", ["tex_float"] = "34{,}4", ["x"] = 34, ["y"] = 2, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{2}}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-8}{\\frac{2\\frac{1}{2}}{7}}", ["typ"] = "lomeno" }, ["render"] = "12 - \\frac{-8}{\\frac{2\\frac{1}{2}}{7}}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.23, bodu=19, $$\frac{-7 - 8}{7 - 6}=\textcolor{white}{-15}$$return { ["body"] = 19, ["id"] = "nWkqIg_0329_0117", ["obtiznost"] = 0.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-15}{1}", ["typ"] = "cislo" }, ["tex"] = "-15", ["tex_float"] = "-15", ["x"] = -15 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-7 - 8", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 - 6", ["typ"] = "minus" }, ["render"] = "\\frac{-7 - 8}{7 - 6}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.24, bodu=36, $$\frac{5}{-13} \cdot \frac{11}{3\frac{5}{11}}=\textcolor{white}{-1\frac{111}{494}}$$return { ["body"] = 36, ["id"] = "9kEkNy_0329_0117", ["obtiznost"] = 0.44, ["reseni"] = { ["float"] = -1.2246963562753, ["objekt"] = { ["hodnota"] = { ["citatel"] = -605, ["jmenovatel"] = 494 }, ["render"] = "\\frac{-605}{494}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{111}{494}", ["x"] = -1, ["y"] = 111, ["z"] = 494 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{3\\frac{5}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{5}{-13} \\cdot \\frac{11}{3\\frac{5}{11}}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.25, bodu=37, $$-8 - 6 + 7 + 1\frac{1}{4} - 7=\textcolor{white}{-12{,}75}$$return { ["body"] = 37, ["id"] = "n71Wng_0329_0117", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = -12.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -51, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-51}{4}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{3}{4}", ["tex_float"] = "-12{,}75", ["x"] = -12, ["y"] = 3, ["z"] = 4 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-8 - 6 + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} - 7", ["typ"] = "minus" }, ["render"] = "-8 - 6 + 7 + 1\\frac{1}{4} - 7", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.26, bodu=38, $$\frac{9 \cdot 7 + 9}{2\frac{2}{4}}=\textcolor{white}{28{,}8}$$return { ["body"] = 38, ["id"] = "OU0SyM_0329_0117", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = 28.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 144, ["jmenovatel"] = 5 }, ["render"] = "\\frac{144}{5}", ["typ"] = "cislo" }, ["tex"] = "28\\frac{4}{5}", ["tex_float"] = "28{,}8", ["x"] = 28, ["y"] = 4, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.26", ["zadani"] = { ["c1"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 7 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{9 \\cdot 7 + 9}{2\\frac{2}{4}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.27, bodu=13, $$(8 - 7 - (-10))^2 \cdot (-14 - 8)=\textcolor{white}{-2662}$$return { ["body"] = 13, ["id"] = "X3xyGy_0329_0117", ["obtiznost"] = 0.3188, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2662, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-2662}{1}", ["typ"] = "cislo" }, ["tex"] = "-2662", ["x"] = -2662 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.27", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "8 - 7 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - 7 - (-10))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-14 - 8", ["typ"] = "minus" }, ["render"] = "(-14 - 8)", ["typ"] = "zavorka" }, ["render"] = "(8 - 7 - (-10))^2 \\cdot (-14 - 8)", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.28, bodu=31, $$(6 - \frac{10}{7} \cdot 7)^4=\textcolor{white}{256}$$return { ["body"] = 31, ["id"] = "eXsaPM_0329_0117", ["obtiznost"] = 0.3828, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 256, ["jmenovatel"] = 1 }, ["render"] = "\\frac{256}{1}", ["typ"] = "cislo" }, ["tex"] = "256", ["x"] = 256 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.28", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{7} \\cdot 7", ["typ"] = "krat" }, ["render"] = "6 - \\frac{10}{7} \\cdot 7", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(6 - \\frac{10}{7} \\cdot 7)^4", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.29, bodu=12, $$8 + 3 \cdot 10 \cdot 8=\textcolor{white}{248}$$return { ["body"] = 12, ["id"] = "N0najh_0329_0117", ["obtiznost"] = 0.29, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 248, ["jmenovatel"] = 1 }, ["render"] = "\\frac{248}{1}", ["typ"] = "cislo" }, ["tex"] = "248", ["x"] = 248 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8", ["typ"] = "krat" }, ["render"] = "3 \\cdot 10 \\cdot 8", ["typ"] = "krat" }, ["render"] = "8 + 3 \\cdot 10 \\cdot 8", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.3, bodu=24, $$(\frac{9}{-9} - 12) \cdot -10=\textcolor{white}{130}$$return { ["body"] = 24, ["id"] = "v7fbbO_0329_0117", ["obtiznost"] = 0.3, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 130, ["jmenovatel"] = 1 }, ["render"] = "\\frac{130}{1}", ["typ"] = "cislo" }, ["tex"] = "130", ["x"] = 130 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.3", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-9} - 12", ["typ"] = "minus" }, ["render"] = "(\\frac{9}{-9} - 12)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(\\frac{9}{-9} - 12) \\cdot -10", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.31, bodu=62, $$\frac{\frac{(\frac{4\frac{4}{8}}{10})^2}{-7}}{6}=\textcolor{white}{-\frac{27}{5600}}$$return { ["body"] = 62, ["id"] = "srRsEZ_0329_0117", ["obtiznost"] = 0.7024, ["reseni"] = { ["float"] = -0.0048214285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27, ["jmenovatel"] = 5600 }, ["render"] = "\\frac{-81}{16800}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{27}{5600}", ["y"] = -27, ["z"] = 5600 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{4\\frac{4}{8}}{10})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{4\\frac{4}{8}}{10})^2}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{(\\frac{4\\frac{4}{8}}{10})^2}{-7}}{6}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.32, bodu=16, $$-3 \cdot -10 \cdot (10 - 4)^3=\textcolor{white}{6480}$$return { ["body"] = 16, ["id"] = "G2rxdA_0329_0117", ["obtiznost"] = 0.4068, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 6480, ["jmenovatel"] = 1 }, ["render"] = "\\frac{6480}{1}", ["typ"] = "cislo" }, ["tex"] = "6480", ["x"] = 6480 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["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" }, ["render"] = "-3 \\cdot -10 \\cdot (10 - 4)^3", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.33, bodu=66, $$9 - (2\frac{3}{4} \cdot -8 - 2\frac{5}{11})=\textcolor{white}{33\frac{5}{11}}$$return { ["body"] = 66, ["id"] = "UM4e2O_0329_0117", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = 33.454545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 368, ["jmenovatel"] = 11 }, ["render"] = "\\frac{368}{11}", ["typ"] = "cislo" }, ["tex"] = "33\\frac{5}{11}", ["x"] = 33, ["y"] = 5, ["z"] = 11 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{4} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "9 - (2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11})", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.34, bodu=27, $$\frac{11}{-12} \cdot 11 + 5=\textcolor{white}{-5\frac{1}{12}}$$return { ["body"] = 27, ["id"] = "pVqZmX_0329_0117", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = -5.0833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -61, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-61}{12}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{1}{12}", ["x"] = -5, ["y"] = 1, ["z"] = 12 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-12} \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-12} \\cdot 11 + 5", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.35, bodu=32, $$-5 - (5 \cdot (\frac{8}{8})^2)^3=\textcolor{white}{-130}$$return { ["body"] = 32, ["id"] = "OCFOnH_0329_0117", ["obtiznost"] = 0.4012, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -130, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-130}{1}", ["typ"] = "cislo" }, ["tex"] = "-130", ["x"] = -130 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["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"] = "\\frac{8}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{8})^2", ["typ"] = "mocnina" }, ["render"] = "5 \\cdot (\\frac{8}{8})^2", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(5 \\cdot (\\frac{8}{8})^2)^3", ["typ"] = "mocnina" }, ["render"] = "-5 - (5 \\cdot (\\frac{8}{8})^2)^3", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.36, bodu=47, $$13 \cdot (-10 + 10)^2 \cdot 2\frac{2}{8}=\textcolor{white}{0}$$return { ["body"] = 47, ["id"] = "PAxY1g_0329_0117", ["obtiznost"] = 0.5604, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{4}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-10 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-10 + 10)^2", ["typ"] = "mocnina" }, ["render"] = "13 \\cdot (-10 + 10)^2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "13 \\cdot (-10 + 10)^2 \\cdot 2\\frac{2}{8}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.37, bodu=30, $$10 \cdot (-13 + \frac{7}{-10})=\textcolor{white}{-137}$$return { ["body"] = 30, ["id"] = "4mlUv4_0329_0117", ["obtiznost"] = 0.37, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -137, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1370}{10}", ["typ"] = "cislo" }, ["tex"] = "-137", ["x"] = -137 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{-10}", ["typ"] = "lomeno" }, ["render"] = "-13 + \\frac{7}{-10}", ["typ"] = "plus" }, ["render"] = "(-13 + \\frac{7}{-10})", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (-13 + \\frac{7}{-10})", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.38, bodu=71, $$10 + \frac{1\frac{4}{9}}{-4 + 2\frac{5}{10}} - 12=\textcolor{white}{-2\frac{26}{27}}$$return { ["body"] = 71, ["id"] = "SG7HJf_0329_0117", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -2.962962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = -80, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-80}{27}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{26}{27}", ["x"] = -2, ["y"] = 26, ["z"] = 27 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-4 + 2\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}} - 12", ["typ"] = "minus" }, ["render"] = "10 + \\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}} - 12", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.39, bodu=31, $$\frac{-12 + (-6 \cdot -8 - (-9))}{12}=\textcolor{white}{3{,}75}$$return { ["body"] = 31, ["id"] = "DTrk11_0329_0117", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 3.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 4 }, ["render"] = "\\frac{45}{12}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{3}{4}", ["tex_float"] = "3{,}75", ["x"] = 3, ["y"] = 3, ["z"] = 4 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot -8 - (-9)", ["typ"] = "minus" }, ["render"] = "-12 + (-6 \\cdot -8 - (-9))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + (-6 \\cdot -8 - (-9))}{12}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.4, bodu=51, $$\frac{14}{-12} + 3\frac{5}{12} \cdot 8 + 14=\textcolor{white}{40\frac{1}{6}}$$return { ["body"] = 51, ["id"] = "VTqdpx_0329_0117", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = 40.166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 241, ["jmenovatel"] = 6 }, ["render"] = "\\frac{723}{18}", ["typ"] = "cislo" }, ["tex"] = "40\\frac{1}{6}", ["x"] = 40, ["y"] = 1, ["z"] = 6 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} \\cdot 8 + 14", ["typ"] = "plus" }, ["render"] = "\\frac{14}{-12} + 3\\frac{5}{12} \\cdot 8 + 14", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.41, bodu=53, $$-11 \cdot 5 \cdot \frac{8}{(-5 + 13)^3}=\textcolor{white}{-\frac{55}{64}}$$return { ["body"] = 53, ["id"] = "MOhXXw_0329_0117", ["obtiznost"] = 0.6152, ["reseni"] = { ["float"] = -0.859375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -55, ["jmenovatel"] = 64 }, ["render"] = "\\frac{-55}{64}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{55}{64}", ["y"] = -55, ["z"] = 64 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-5 + 13", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-5 + 13)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{8}{(-5 + 13)^3}", ["typ"] = "lomeno" }, ["render"] = "-11 \\cdot 5 \\cdot \\frac{8}{(-5 + 13)^3}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.42, bodu=17, $$6 \cdot (-13 + (-8)) \cdot (-8 - 14)=\textcolor{white}{2772}$$return { ["body"] = 17, ["id"] = "yPpDQo_0329_0117", ["obtiznost"] = 0.42, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2772, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2772}{1}", ["typ"] = "cislo" }, ["tex"] = "2772", ["x"] = 2772 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["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"] = "6 \\cdot (-13 + (-8))", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-8 - 14", ["typ"] = "minus" }, ["render"] = "(-8 - 14)", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (-13 + (-8)) \\cdot (-8 - 14)", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.43, bodu=70, $$(\frac{10 + 8 - (-9 - (-7))^2}{3\frac{2}{3} + 8})^3=\textcolor{white}{1{,}728}$$return { ["body"] = 70, ["id"] = "IHpIIJ_0329_0117", ["obtiznost"] = 0.7684, ["reseni"] = { ["float"] = 1.728, ["objekt"] = { ["hodnota"] = { ["citatel"] = 216, ["jmenovatel"] = 125 }, ["render"] = "\\frac{216}{125}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{91}{125}", ["tex_float"] = "1{,}728", ["x"] = 1, ["y"] = 91, ["z"] = 125 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.43", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 + 8", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(-9 - (-7))^2", ["typ"] = "mocnina" }, ["render"] = "10 + 8 - (-9 - (-7))^2", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{3} + 8", ["typ"] = "plus" }, ["render"] = "\\frac{10 + 8 - (-9 - (-7))^2}{3\\frac{2}{3} + 8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{10 + 8 - (-9 - (-7))^2}{3\\frac{2}{3} + 8})^3", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.44, bodu=72, $$(10 - \frac{12}{9}) \cdot (3\frac{5}{10} + (-13))^2=\textcolor{white}{782\frac{1}{6}}$$return { ["body"] = 72, ["id"] = "4P7oQ6_0329_0117", ["obtiznost"] = 0.786, ["reseni"] = { ["float"] = 782.16666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4693, ["jmenovatel"] = 6 }, ["render"] = "\\frac{9386}{12}", ["typ"] = "cislo" }, ["tex"] = "782\\frac{1}{6}", ["x"] = 782, ["y"] = 1, ["z"] = 6 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.44", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{9}", ["typ"] = "lomeno" }, ["render"] = "10 - \\frac{12}{9}", ["typ"] = "minus" }, ["render"] = "(10 - \\frac{12}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{10} + (-13)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{5}{10} + (-13))^2", ["typ"] = "mocnina" }, ["render"] = "(10 - \\frac{12}{9}) \\cdot (3\\frac{5}{10} + (-13))^2", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.45, bodu=59, $$\frac{9}{3\frac{3}{8} - (-15 + 13)^3} - (13 + (-7))^2=\textcolor{white}{-35\frac{19}{91}}$$return { ["body"] = 59, ["id"] = "PSGt4f_0329_0117", ["obtiznost"] = 0.6684, ["reseni"] = { ["float"] = -35.208791208791, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3204, ["jmenovatel"] = 91 }, ["render"] = "\\frac{-3204}{91}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{19}{91}", ["x"] = -35, ["y"] = 19, ["z"] = 91 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["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"] = "3\\frac{3}{8} - (-15 + 13)^3", ["typ"] = "minus" }, ["render"] = "\\frac{9}{3\\frac{3}{8} - (-15 + 13)^3}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "13 + (-7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(13 + (-7))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{9}{3\\frac{3}{8} - (-15 + 13)^3} - (13 + (-7))^2", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.46, bodu=38, $$\frac{12}{6 + (11 + (-15))^2} \cdot 13=\textcolor{white}{7\frac{1}{11}}$$return { ["body"] = 38, ["id"] = "C8GPh1_0329_0117", ["obtiznost"] = 0.4668, ["reseni"] = { ["float"] = 7.0909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 78, ["jmenovatel"] = 11 }, ["render"] = "\\frac{78}{11}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{1}{11}", ["x"] = 7, ["y"] = 1, ["z"] = 11 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "11 + (-15)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(11 + (-15))^2", ["typ"] = "mocnina" }, ["render"] = "6 + (11 + (-15))^2", ["typ"] = "plus" }, ["render"] = "\\frac{12}{6 + (11 + (-15))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{6 + (11 + (-15))^2} \\cdot 13", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.47, bodu=101, $$\frac{9}{(13 - 3\frac{2}{6})^2} - (-12 - 6)=\textcolor{white}{18\frac{81}{841}}$$return { ["body"] = 101, ["id"] = "VghIgI_0329_0117", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = 18.09631391201, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15219, ["jmenovatel"] = 841 }, ["render"] = "\\frac{15219}{841}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{81}{841}", ["x"] = 18, ["y"] = 81, ["z"] = 841 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.47", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{2}{6}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - 3\\frac{2}{6})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{9}{(13 - 3\\frac{2}{6})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-12 - 6", ["typ"] = "minus" }, ["render"] = "(-12 - 6)", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{(13 - 3\\frac{2}{6})^2} - (-12 - 6)", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.48, bodu=39, $$-17 - \frac{-14}{\frac{-8}{-11} + (-10)}=\textcolor{white}{-18\frac{26}{51}}$$return { ["body"] = 39, ["id"] = "uGWMCy_0329_0117", ["obtiznost"] = 0.48, ["reseni"] = { ["float"] = -18.509803921569, ["objekt"] = { ["hodnota"] = { ["citatel"] = -944, ["jmenovatel"] = 51 }, ["render"] = "\\frac{-944}{51}", ["typ"] = "cislo" }, ["tex"] = "-18\\frac{26}{51}", ["x"] = -18, ["y"] = 26, ["z"] = 51 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.48", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-11} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{-14}{\\frac{-8}{-11} + (-10)}", ["typ"] = "lomeno" }, ["render"] = "-17 - \\frac{-14}{\\frac{-8}{-11} + (-10)}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.49, bodu=61, $$\frac{\frac{-6 + (-9)}{-10}}{3\frac{5}{11} - (-11)}=\textcolor{white}{\frac{11}{106}}$$return { ["body"] = 61, ["id"] = "LtveMw_0329_0117", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = 0.10377358490566, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 106 }, ["render"] = "\\frac{33}{318}", ["typ"] = "cislo" }, ["tex"] = "\\frac{11}{106}", ["y"] = 11, ["z"] = 106 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.49", ["zadani"] = { ["c1"] = { ["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"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 + (-9)}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{11} - (-11)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-6 + (-9)}{-10}}{3\\frac{5}{11} - (-11)}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.5, bodu=86, $$\frac{(9 \cdot 8 - 1\frac{4}{10}) \cdot 11}{2\frac{3}{4}}=\textcolor{white}{282{,}4}$$return { ["body"] = 86, ["id"] = "lYJYPB_0329_0117", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 282.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1412, ["jmenovatel"] = 5 }, ["render"] = "\\frac{15532}{55}", ["typ"] = "cislo" }, ["tex"] = "282\\frac{2}{5}", ["tex_float"] = "282{,}4", ["x"] = 282, ["y"] = 2, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["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"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8 - 1\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "(9 \\cdot 8 - 1\\frac{4}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(9 \\cdot 8 - 1\\frac{4}{10}) \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{(9 \\cdot 8 - 1\\frac{4}{10}) \\cdot 11}{2\\frac{3}{4}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.51, bodu=115, $$\frac{3\frac{5}{9} \cdot (3\frac{1}{8} - 14)}{\frac{2\frac{5}{9}}{14}}=\textcolor{white}{-211\frac{19}{23}}$$return { ["body"] = 115, ["id"] = "j33lL8_0329_0117", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = -211.82608695652, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4872, ["jmenovatel"] = 23 }, ["render"] = "\\frac{-14616}{69}", ["typ"] = "cislo" }, ["tex"] = "-211\\frac{19}{23}", ["x"] = -211, ["y"] = 19, ["z"] = 23 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} - 14", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{8} - 14)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{5}{9} \\cdot (3\\frac{1}{8} - 14)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{9}}{14}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{5}{9} \\cdot (3\\frac{1}{8} - 14)}{\\frac{2\\frac{5}{9}}{14}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.52, bodu=89, $$-5 \cdot \frac{2\frac{3}{5}}{3\frac{3}{8}} \cdot (11 - (-7))=\textcolor{white}{-69\frac{1}{3}}$$return { ["body"] = 89, ["id"] = "kyPqxE_0329_0117", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = -69.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -208, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-1872}{27}", ["typ"] = "cislo" }, ["tex"] = "-69\\frac{1}{3}", ["x"] = -69, ["y"] = 1, ["z"] = 3 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{5}}{3\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "-5 \\cdot \\frac{2\\frac{3}{5}}{3\\frac{3}{8}}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 - (-7)", ["typ"] = "minus" }, ["render"] = "(11 - (-7))", ["typ"] = "zavorka" }, ["render"] = "-5 \\cdot \\frac{2\\frac{3}{5}}{3\\frac{3}{8}} \\cdot (11 - (-7))", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.53, bodu=44, $$-13 \cdot (\frac{13}{-11 + 2} + (13 - 12)^3)=\textcolor{white}{5\frac{7}{9}}$$return { ["body"] = 44, ["id"] = "rCD0BE_0329_0117", ["obtiznost"] = 0.5308, ["reseni"] = { ["float"] = 5.7777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 52, ["jmenovatel"] = 9 }, ["render"] = "\\frac{52}{9}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{7}{9}", ["x"] = 5, ["y"] = 7, ["z"] = 9 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "-11 + 2", ["typ"] = "plus" }, ["render"] = "\\frac{13}{-11 + 2}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "13 - 12", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(13 - 12)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{13}{-11 + 2} + (13 - 12)^3", ["typ"] = "plus" }, ["render"] = "(\\frac{13}{-11 + 2} + (13 - 12)^3)", ["typ"] = "zavorka" }, ["render"] = "-13 \\cdot (\\frac{13}{-11 + 2} + (13 - 12)^3)", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.54, bodu=73, $$(10 - 5)^3 - (8 - 2\frac{4}{10} \cdot -9)=\textcolor{white}{95{,}4}$$return { ["body"] = 73, ["id"] = "UIffqd_0329_0117", ["obtiznost"] = 0.7904, ["reseni"] = { ["float"] = 95.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 477, ["jmenovatel"] = 5 }, ["render"] = "\\frac{477}{5}", ["typ"] = "cislo" }, ["tex"] = "95\\frac{2}{5}", ["tex_float"] = "95{,}4", ["x"] = 95, ["y"] = 2, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.54", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "10 - 5", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(10 - 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} \\cdot -9", ["typ"] = "krat" }, ["render"] = "8 - 2\\frac{4}{10} \\cdot -9", ["typ"] = "minus" }, ["render"] = "(8 - 2\\frac{4}{10} \\cdot -9)", ["typ"] = "zavorka" }, ["render"] = "(10 - 5)^3 - (8 - 2\\frac{4}{10} \\cdot -9)", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.55, bodu=78, $$-14 + (\frac{-6}{10})^4 - \frac{-16}{9}=\textcolor{white}{-12\frac{521}{5625}}$$return { ["body"] = 78, ["id"] = "FCaG06_0329_0117", ["obtiznost"] = 0.8324, ["reseni"] = { ["float"] = -12.092622222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -68021, ["jmenovatel"] = 5625 }, ["render"] = "\\frac{-68021}{5625}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{521}{5625}", ["x"] = -12, ["y"] = 521, ["z"] = 5625 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.55", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-6}{10})^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{9}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{-6}{10})^4 - \\frac{-16}{9}", ["typ"] = "minus" }, ["render"] = "-14 + (\\frac{-6}{10})^4 - \\frac{-16}{9}", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.56, bodu=51, $$\frac{-10}{12 \cdot (\frac{-16}{12})^3}=\textcolor{white}{\frac{45}{128}}$$return { ["body"] = 51, ["id"] = "UFZsCe_0329_0117", ["obtiznost"] = 0.5964, ["reseni"] = { ["float"] = 0.3515625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 128 }, ["render"] = "\\frac{-90}{-256}", ["typ"] = "cislo" }, ["tex"] = "\\frac{45}{128}", ["y"] = 45, ["z"] = 128 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.56", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{12}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-16}{12})^3", ["typ"] = "mocnina" }, ["render"] = "12 \\cdot (\\frac{-16}{12})^3", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{12 \\cdot (\\frac{-16}{12})^3}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.57, bodu=96, $$\frac{(-6 + 9)^2}{-8} \cdot 4\frac{1}{4} \cdot 4\frac{4}{11}=\textcolor{white}{-20\frac{19}{22}}$$return { ["body"] = 96, ["id"] = "R9eCgT_0329_0117", ["obtiznost"] = 0.974, ["reseni"] = { ["float"] = -20.863636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = -459, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-1836}{88}", ["typ"] = "cislo" }, ["tex"] = "-20\\frac{19}{22}", ["x"] = -20, ["y"] = 19, ["z"] = 22 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(-6 + 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{(-6 + 9)^2}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} \\cdot 4\\frac{4}{11}", ["typ"] = "krat" }, ["render"] = "\\frac{(-6 + 9)^2}{-8} \\cdot 4\\frac{1}{4} \\cdot 4\\frac{4}{11}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.58, bodu=97, $$\frac{\frac{\frac{1\frac{3}{8}}{15}}{-7}}{1\frac{2}{10}}=\textcolor{white}{-\frac{11}{1008}}$$return { ["body"] = 97, ["id"] = "Kh3QSP_0329_0117", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = -0.010912698412698, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1008 }, ["render"] = "\\frac{-55}{5040}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{1008}", ["y"] = -11, ["z"] = 1008 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{8}}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{3}{8}}{15}}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{1\\frac{3}{8}}{15}}{-7}}{1\\frac{2}{10}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.59, bodu=98, $$\frac{\frac{-13}{2\frac{1}{5}}}{\frac{1\frac{4}{9}}{11}}=\textcolor{white}{-45}$$return { ["body"] = 98, ["id"] = "NX4eYq_0329_0117", ["obtiznost"] = 0.99, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -45, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6435}{143}", ["typ"] = "cislo" }, ["tex"] = "-45", ["tex_float"] = "-45", ["x"] = -45 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{2\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{9}}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-13}{2\\frac{1}{5}}}{\\frac{1\\frac{4}{9}}{11}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.6, bodu=100, $$12 - (10 + \frac{3\frac{2}{7} + 13 + 4\frac{3}{7}}{8 + 4})=\textcolor{white}{\frac{23}{84}}$$return { ["body"] = 100, ["id"] = "SgXoWN_0329_0117", ["obtiznost"] = 1, ["reseni"] = { ["float"] = 0.27380952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 84 }, ["render"] = "\\frac{23}{84}", ["typ"] = "cislo" }, ["tex"] = "\\frac{23}{84}", ["y"] = 23, ["z"] = 84 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.6", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "13 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "3\\frac{2}{7} + 13 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4}", ["typ"] = "lomeno" }, ["render"] = "10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4}", ["typ"] = "plus" }, ["render"] = "(10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4})", ["typ"] = "zavorka" }, ["render"] = "12 - (10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4})", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.61, bodu=73, $$13 + \frac{(-2 \cdot 4)^2}{(\frac{6}{19})^2}=\textcolor{white}{654\frac{7}{9}}$$return { ["body"] = 73, ["id"] = "CBxLNb_0329_0117", ["obtiznost"] = 0.7948, ["reseni"] = { ["float"] = 654.77777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5893, ["jmenovatel"] = 9 }, ["render"] = "\\frac{5893}{9}", ["typ"] = "cislo" }, ["tex"] = "654\\frac{7}{9}", ["x"] = 654, ["y"] = 7, ["z"] = 9 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.61", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-2 \\cdot 4", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(-2 \\cdot 4)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{19}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6}{19})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{(-2 \\cdot 4)^2}{(\\frac{6}{19})^2}", ["typ"] = "lomeno" }, ["render"] = "13 + \\frac{(-2 \\cdot 4)^2}{(\\frac{6}{19})^2}", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.62, bodu=106, $$(\frac{-18}{-15})^2 \cdot (2\frac{3}{7} + 4\frac{3}{8} \cdot (11 + 3))=\textcolor{white}{91\frac{122}{175}}$$return { ["body"] = 106, ["id"] = "d2R51X_0329_0117", ["obtiznost"] = 1.0444, ["reseni"] = { ["float"] = 91.697142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16047, ["jmenovatel"] = 175 }, ["render"] = "\\frac{64188}{700}", ["typ"] = "cislo" }, ["tex"] = "91\\frac{122}{175}", ["x"] = 91, ["y"] = 122, ["z"] = 175 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.62", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-18}{-15}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-18}{-15})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "11 + 3", ["typ"] = "plus" }, ["render"] = "(11 + 3)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{8} \\cdot (11 + 3)", ["typ"] = "krat" }, ["render"] = "2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3))", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-18}{-15})^2 \\cdot (2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3))", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.63, bodu=108, $$\frac{\frac{11}{1\frac{4}{6}} + 12 - (-11 + 14)^4}{3\frac{2}{4}}=\textcolor{white}{-17\frac{29}{35}}$$return { ["body"] = 108, ["id"] = "iRvz0x_0329_0117", ["obtiznost"] = 1.0628, ["reseni"] = { ["float"] = -17.828571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -624, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-624}{35}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{29}{35}", ["x"] = -17, ["y"] = 29, ["z"] = 35 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{1\\frac{4}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{1\\frac{4}{6}} + 12", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-11 + 14", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-11 + 14)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{11}{1\\frac{4}{6}} + 12 - (-11 + 14)^4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{11}{1\\frac{4}{6}} + 12 - (-11 + 14)^4}{3\\frac{2}{4}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.64, bodu=105, $$(11 - (10 + 1\frac{2}{4}) + (-14)) \cdot (10 - 3\frac{1}{5})=\textcolor{white}{-98{,}6}$$return { ["body"] = 105, ["id"] = "DER2XU_0329_0117", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = -98.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = -493, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-986}{10}", ["typ"] = "cislo" }, ["tex"] = "-98\\frac{3}{5}", ["tex_float"] = "-98{,}6", ["x"] = -98, ["y"] = 3, ["z"] = 5 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.64", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "10 + 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "(10 + 1\\frac{2}{4})", ["typ"] = "zavorka" }, ["render"] = "11 - (10 + 1\\frac{2}{4})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "11 - (10 + 1\\frac{2}{4}) + (-14)", ["typ"] = "plus" }, ["render"] = "(11 - (10 + 1\\frac{2}{4}) + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "10 - 3\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(10 - 3\\frac{1}{5})", ["typ"] = "zavorka" }, ["render"] = "(11 - (10 + 1\\frac{2}{4}) + (-14)) \\cdot (10 - 3\\frac{1}{5})", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.65, bodu=80, $$\frac{-11 - \frac{7}{-8}}{\frac{2\frac{5}{9}}{-3}}=\textcolor{white}{11\frac{163}{184}}$$return { ["body"] = 80, ["id"] = "wl1b6p_0329_0117", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 11.885869565217, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2187, ["jmenovatel"] = 184 }, ["render"] = "\\frac{-2187}{-184}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{163}{184}", ["x"] = 11, ["y"] = 163, ["z"] = 184 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{-8}", ["typ"] = "lomeno" }, ["render"] = "-11 - \\frac{7}{-8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{9}}{-3}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11 - \\frac{7}{-8}}{\\frac{2\\frac{5}{9}}{-3}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.66, bodu=108, $$(\frac{1\frac{3}{9}}{13} - \frac{18}{4\frac{5}{7}}) \cdot -17=\textcolor{white}{63\frac{71}{429}}$$return { ["body"] = 108, ["id"] = "HMm967_0329_0117", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 63.165501165501, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27098, ["jmenovatel"] = 429 }, ["render"] = "\\frac{27098}{429}", ["typ"] = "cislo" }, ["tex"] = "63\\frac{71}{429}", ["x"] = 63, ["y"] = 71, ["z"] = 429 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.66", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}}", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "(\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}}) \\cdot -17", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.67, bodu=109, $$\frac{\frac{-9}{4\frac{4}{10}}}{\frac{12}{1\frac{4}{10}} - 15}=\textcolor{white}{\frac{7}{22}}$$return { ["body"] = 109, ["id"] = "1Wdkf8_0329_0117", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 0.31818181818182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-315}{-990}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{22}", ["y"] = 7, ["z"] = 22 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{4\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{1\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{1\\frac{4}{10}} - 15", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-9}{4\\frac{4}{10}}}{\\frac{12}{1\\frac{4}{10}} - 15}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.68, bodu=62, $$(\frac{10}{15})^3 - \frac{4}{11 - (-2)}=\textcolor{white}{-\frac{4}{351}}$$return { ["body"] = 62, ["id"] = "Q5oRr7_0329_0117", ["obtiznost"] = 0.694, ["reseni"] = { ["float"] = -0.011396011396011, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 351 }, ["render"] = "\\frac{-4}{351}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{351}", ["y"] = -4, ["z"] = 351 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.68", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{15}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{10}{15})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "11 - (-2)", ["typ"] = "minus" }, ["render"] = "\\frac{4}{11 - (-2)}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{10}{15})^3 - \\frac{4}{11 - (-2)}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.69, bodu=112, $$(12 - 3\frac{2}{12} \cdot 1\frac{2}{6}) \cdot \frac{-19}{-9}=\textcolor{white}{16\frac{34}{81}}$$return { ["body"] = 112, ["id"] = "fdSnNn_0329_0117", ["obtiznost"] = 1.09, ["reseni"] = { ["float"] = 16.41975308642, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1330, ["jmenovatel"] = 81 }, ["render"] = "\\frac{1330}{81}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{34}{81}", ["x"] = 16, ["y"] = 34, ["z"] = 81 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{12} \\cdot 1\\frac{2}{6}", ["typ"] = "krat" }, ["render"] = "12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{-19}{-9}", ["typ"] = "lomeno" }, ["render"] = "(12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6}) \\cdot \\frac{-19}{-9}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.7, bodu=31, $$-10 \cdot (9 \cdot 13 - 8) \cdot -10=\textcolor{white}{10900}$$return { ["body"] = 31, ["id"] = "NLPI7k_0329_0117", ["obtiznost"] = 0.7, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 10900, ["jmenovatel"] = 1 }, ["render"] = "\\frac{10900}{1}", ["typ"] = "cislo" }, ["tex"] = "10900", ["tex_float"] = "10900", ["x"] = 10900 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 13 - 8", ["typ"] = "minus" }, ["render"] = "(9 \\cdot 13 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(9 \\cdot 13 - 8) \\cdot -10", ["typ"] = "krat" }, ["render"] = "-10 \\cdot (9 \\cdot 13 - 8) \\cdot -10", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.71, bodu=115, $$\frac{4\frac{5}{12}}{\frac{\frac{17}{8}}{11}} \cdot 4\frac{1}{3}=\textcolor{white}{99\frac{11}{153}}$$return { ["body"] = 115, ["id"] = "QP72mk_0329_0117", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = 99.071895424837, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15158, ["jmenovatel"] = 153 }, ["render"] = "\\frac{15158}{153}", ["typ"] = "cislo" }, ["tex"] = "99\\frac{11}{153}", ["x"] = 99, ["y"] = 11, ["z"] = 153 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{17}{8}}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{5}{12}}{\\frac{\\frac{17}{8}}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{12}}{\\frac{\\frac{17}{8}}{11}} \\cdot 4\\frac{1}{3}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.72, bodu=146, $$\frac{2\frac{2}{8}}{\frac{-13}{3\frac{4}{9}} + \frac{-4}{3\frac{5}{12}} + (-13)}=\textcolor{white}{-\frac{11439}{91232}}$$return { ["body"] = 146, ["id"] = "gQsCf8_0329_0117", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = -0.12538363732024, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11439, ["jmenovatel"] = 91232 }, ["render"] = "\\frac{11439}{-91232}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11439}{91232}", ["y"] = -11439, ["z"] = 91232 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{3\\frac{4}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{3\\frac{5}{12}} + (-13)", ["typ"] = "plus" }, ["render"] = "\\frac{-13}{3\\frac{4}{9}} + \\frac{-4}{3\\frac{5}{12}} + (-13)", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{2}{8}}{\\frac{-13}{3\\frac{4}{9}} + \\frac{-4}{3\\frac{5}{12}} + (-13)}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.73, bodu=118, $$10 \cdot (\frac{1\frac{3}{9} + 4\frac{1}{7}}{-6} + 6 - 16)=\textcolor{white}{-109\frac{8}{63}}$$return { ["body"] = 118, ["id"] = "A5yfES_0329_0117", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -109.12698412698, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6875, ["jmenovatel"] = 63 }, ["render"] = "\\frac{-13750}{126}", ["typ"] = "cislo" }, ["tex"] = "-109\\frac{8}{63}", ["x"] = -109, ["y"] = 8, ["z"] = 63 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} + 4\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6}", ["typ"] = "lomeno" }, ["c2"] = { ["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" }, ["render"] = "\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16", ["typ"] = "plus" }, ["render"] = "(\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16)", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16)", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.74, bodu=181, $$\frac{\frac{1\frac{3}{6}}{2\frac{5}{12}} + 2\frac{5}{10}}{\frac{20}{-13} - 4\frac{3}{6}}=\textcolor{white}{-\frac{2353}{4553}}$$return { ["body"] = 181, ["id"] = "40FTna_0329_0117", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = -0.51680210849989, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2353, ["jmenovatel"] = 4553 }, ["render"] = "\\frac{4706}{-9106}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2353}{4553}", ["y"] = -2353, ["z"] = 4553 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6}}{2\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6}}{2\\frac{5}{12}} + 2\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{-13} - 4\\frac{3}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{1\\frac{3}{6}}{2\\frac{5}{12}} + 2\\frac{5}{10}}{\\frac{20}{-13} - 4\\frac{3}{6}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.75, bodu=120, $$\frac{1\frac{5}{11}}{\frac{-10}{8 + \frac{-11}{3\frac{5}{8}}}}=\textcolor{white}{-\frac{1152}{1595}}$$return { ["body"] = 120, ["id"] = "O79M6k_0329_0117", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = -0.72225705329154, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1152, ["jmenovatel"] = 1595 }, ["render"] = "\\frac{1152}{-1595}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1152}{1595}", ["y"] = -1152, ["z"] = 1595 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.75", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["render"] = "8 + \\frac{-11}{3\\frac{5}{8}}", ["typ"] = "plus" }, ["render"] = "\\frac{-10}{8 + \\frac{-11}{3\\frac{5}{8}}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{11}}{\\frac{-10}{8 + \\frac{-11}{3\\frac{5}{8}}}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.76, bodu=152, $$16 \cdot -15 - (17 - 3\frac{3}{12} - 3\frac{2}{4}) - 4\frac{1}{5}=\textcolor{white}{-254{,}45}$$return { ["body"] = 152, ["id"] = "6TJQQK_0329_0117", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = -254.45, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5089, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-5089}{20}", ["typ"] = "cislo" }, ["tex"] = "-254\\frac{9}{20}", ["tex_float"] = "-254{,}45", ["x"] = -254, ["y"] = 9, ["z"] = 20 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "16 \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "17 - 3\\frac{3}{12}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "17 - 3\\frac{3}{12} - 3\\frac{2}{4}", ["typ"] = "minus" }, ["render"] = "(17 - 3\\frac{3}{12} - 3\\frac{2}{4})", ["typ"] = "zavorka" }, ["render"] = "16 \\cdot -15 - (17 - 3\\frac{3}{12} - 3\\frac{2}{4})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot -15 - (17 - 3\\frac{3}{12} - 3\\frac{2}{4}) - 4\\frac{1}{5}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.77, bodu=154, $$\frac{-14}{1\frac{4}{8}} - \frac{16 + 1\frac{2}{9} + 8}{4\frac{5}{7}}=\textcolor{white}{-14\frac{203}{297}}$$return { ["body"] = 154, ["id"] = "32FjCS_0329_0117", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = -14.683501683502, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4361, ["jmenovatel"] = 297 }, ["render"] = "\\frac{-13083}{891}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{203}{297}", ["x"] = -14, ["y"] = 203, ["z"] = 297 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{1\\frac{4}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{9} + 8", ["typ"] = "plus" }, ["render"] = "16 + 1\\frac{2}{9} + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{16 + 1\\frac{2}{9} + 8}{4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-14}{1\\frac{4}{8}} - \\frac{16 + 1\\frac{2}{9} + 8}{4\\frac{5}{7}}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.78, bodu=155, $$\frac{\frac{3\frac{4}{10} + 1\frac{3}{7}}{-17 - 3\frac{1}{5}}}{-11 \cdot -14}=\textcolor{white}{-\frac{169}{108878}}$$return { ["body"] = 155, ["id"] = "e0xS62_0329_0117", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = -0.0015521960359301, ["objekt"] = { ["hodnota"] = { ["citatel"] = -169, ["jmenovatel"] = 108878 }, ["render"] = "\\frac{-169}{108878}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{169}{108878}", ["y"] = -169, ["z"] = 108878 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + 1\\frac{3}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-17 - 3\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{4}{10} + 1\\frac{3}{7}}{-17 - 3\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{3\\frac{4}{10} + 1\\frac{3}{7}}{-17 - 3\\frac{1}{5}}}{-11 \\cdot -14}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.79, bodu=157, $$\frac{\frac{1\frac{5}{8} - 2\frac{4}{11}}{-16 \cdot -7}}{3\frac{2}{11}}=\textcolor{white}{-\frac{13}{6272}}$$return { ["body"] = 157, ["id"] = "7SVHop_0329_0117", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = -0.0020727040816327, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 6272 }, ["render"] = "\\frac{-715}{344960}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{6272}", ["y"] = -13, ["z"] = 6272 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 2\\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot -7", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{5}{8} - 2\\frac{4}{11}}{-16 \\cdot -7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{5}{8} - 2\\frac{4}{11}}{-16 \\cdot -7}}{3\\frac{2}{11}}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.8, bodu=159, $$2\frac{2}{3} + 8 - 3\frac{5}{13} + 21 - \frac{-22}{4\frac{2}{8}} + 14=\textcolor{white}{47\frac{304}{663}}$$return { ["body"] = 159, ["id"] = "lH21si_0329_0117", ["obtiznost"] = 1.4, ["reseni"] = { ["float"] = 47.458521870287, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31465, ["jmenovatel"] = 663 }, ["render"] = "\\frac{31465}{663}", ["typ"] = "cislo" }, ["tex"] = "47\\frac{304}{663}", ["x"] = 47, ["y"] = 304, ["z"] = 663 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{3} + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-22}{4\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "21 - \\frac{-22}{4\\frac{2}{8}}", ["typ"] = "minus" }, ["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13} + 21 - \\frac{-22}{4\\frac{2}{8}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13} + 21 - \\frac{-22}{4\\frac{2}{8}} + 14", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.81, bodu=282, $$(3\frac{1}{2} - 3\frac{3}{9} + \frac{3\frac{3}{12}}{2\frac{1}{6}})^4 \cdot (2\frac{4}{7} + (-6)) \cdot 5=\textcolor{white}{-132\frac{52}{189}}$$return { ["body"] = 282, ["id"] = "7b0rEV_0329_0117", ["obtiznost"] = 2.0924, ["reseni"] = { ["float"] = -132.27513227513, ["objekt"] = { ["hodnota"] = { ["citatel"] = -25000, ["jmenovatel"] = 189 }, ["render"] = "\\frac{-25000}{189}", ["typ"] = "cislo" }, ["tex"] = "-132\\frac{52}{189}", ["x"] = -132, ["y"] = 52, ["z"] = 189 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{2} - 3\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{12}}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}}", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} + (-6)", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{7} + (-6))", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4 \\cdot (2\\frac{4}{7} + (-6))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4 \\cdot (2\\frac{4}{7} + (-6)) \\cdot 5", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.82, bodu=131, $$\frac{\frac{1\frac{2}{8}}{1\frac{2}{5}}}{20 \cdot 16 - 10 \cdot -20}=\textcolor{white}{\frac{5}{2912}}$$return { ["body"] = 131, ["id"] = "DvUOdV_0329_0117", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = 0.001717032967033, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2912 }, ["render"] = "\\frac{25}{14560}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5}{2912}", ["y"] = 5, ["z"] = 2912 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{8}}{1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 16", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -20", ["typ"] = "krat" }, ["render"] = "20 \\cdot 16 - 10 \\cdot -20", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{1\\frac{2}{8}}{1\\frac{2}{5}}}{20 \\cdot 16 - 10 \\cdot -20}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.83, bodu=132, $$-8 + \frac{2\frac{3}{6} \cdot (4\frac{5}{9} - 10)}{-23} - 18=\textcolor{white}{-25\frac{169}{414}}$$return { ["body"] = 132, ["id"] = "k1Zx2f_0329_0117", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = -25.408212560386, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10519, ["jmenovatel"] = 414 }, ["render"] = "\\frac{-10519}{414}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{169}{414}", ["x"] = -25, ["y"] = 169, ["z"] = 414 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} - 10", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{9} - 10)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23}", ["typ"] = "lomeno" }, ["render"] = "-8 + \\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-8 + \\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23} - 18", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.84, bodu=134, $$-21 + (-12) - (18 + 3) - \frac{1\frac{4}{13}}{2\frac{2}{11} \cdot 18}=\textcolor{white}{-54\frac{187}{5616}}$$return { ["body"] = 134, ["id"] = "5L4L6E_0329_0117", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = -54.033297720798, ["objekt"] = { ["hodnota"] = { ["citatel"] = -303451, ["jmenovatel"] = 5616 }, ["render"] = "\\frac{-303451}{5616}", ["typ"] = "cislo" }, ["tex"] = "-54\\frac{187}{5616}", ["x"] = -54, ["y"] = 187, ["z"] = 5616 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-21 + (-12)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "18 + 3", ["typ"] = "plus" }, ["render"] = "(18 + 3)", ["typ"] = "zavorka" }, ["render"] = "-21 + (-12) - (18 + 3)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{11} \\cdot 18", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{4}{13}}{2\\frac{2}{11} \\cdot 18}", ["typ"] = "lomeno" }, ["render"] = "-21 + (-12) - (18 + 3) - \\frac{1\\frac{4}{13}}{2\\frac{2}{11} \\cdot 18}", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.85, bodu=167, $$13 + (-13) + 5 \cdot (1\frac{2}{6} + \frac{3\frac{2}{12}}{7} - 4\frac{2}{4})=\textcolor{white}{-13\frac{4}{7}}$$return { ["body"] = 167, ["id"] = "ujDKfH_0329_0117", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = -13.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -95, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-95}{7}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{4}{7}", ["x"] = -13, ["y"] = 4, ["z"] = 7 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "13 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{12}}{7}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4}", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})", ["typ"] = "krat" }, ["render"] = "13 + (-13) + 5 \\cdot (1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.86, bodu=241, $$1\frac{3}{12} - (\frac{4}{(-20 - (-16))^4} + 3\frac{3}{9}) - (4\frac{4}{4} + 4\frac{3}{9})^2=\textcolor{white}{-89\frac{121}{576}}$$return { ["body"] = 241, ["id"] = "r2BqVZ_0329_0117", ["obtiznost"] = 1.88, ["reseni"] = { ["float"] = -89.210069444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -51385, ["jmenovatel"] = 576 }, ["render"] = "\\frac{-154155}{1728}", ["typ"] = "cislo" }, ["tex"] = "-89\\frac{121}{576}", ["x"] = -89, ["y"] = 121, ["z"] = 576 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-20 - (-16)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-20 - (-16))^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{4}{(-20 - (-16))^4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{12} - (\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9})", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "4\\frac{4}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{4} + 4\\frac{3}{9}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{4}{4} + 4\\frac{3}{9})^2", ["typ"] = "mocnina" }, ["render"] = "1\\frac{3}{12} - (\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9}) - (4\\frac{4}{4} + 4\\frac{3}{9})^2", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.87, bodu=204, $$(3\frac{3}{5} + \frac{\frac{2\frac{1}{9}}{20}}{18 + 3\frac{1}{8}}) \cdot 4\frac{5}{6}=\textcolor{white}{17\frac{9677}{22815}}$$return { ["body"] = 204, ["id"] = "c7O8fl_0329_0117", ["obtiznost"] = 1.67, ["reseni"] = { ["float"] = 17.424150777997, ["objekt"] = { ["hodnota"] = { ["citatel"] = 397532, ["jmenovatel"] = 22815 }, ["render"] = "\\frac{795064}{45630}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{9677}{22815}", ["x"] = 17, ["y"] = 9677, ["z"] = 22815 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.87", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{9}}{20}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "18 + 3\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}) \\cdot 4\\frac{5}{6}", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.88, bodu=279, $$\frac{4\frac{1}{9} \cdot 3\frac{2}{4}}{4\frac{2}{6} \cdot (2\frac{3}{4} - (2\frac{4}{14} - 3\frac{1}{5}))}=\textcolor{white}{\frac{18130}{20007}}$$return { ["body"] = 279, ["id"] = "MIk8eb_0329_0117", ["obtiznost"] = 2.08, ["reseni"] = { ["float"] = 0.9061828360074, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18130, ["jmenovatel"] = 20007 }, ["render"] = "\\frac{36260}{40014}", ["typ"] = "cislo" }, ["tex"] = "\\frac{18130}{20007}", ["y"] = 18130, ["z"] = 20007 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{9} \\cdot 3\\frac{2}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{14} - 3\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{14} - 3\\frac{1}{5})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5})", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{2}{6} \\cdot (2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{1}{9} \\cdot 3\\frac{2}{4}}{4\\frac{2}{6} \\cdot (2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.89, bodu=112, $$\frac{-14}{-12} \cdot (3 - 1\frac{4}{13} + 13 + 13 + 4)=\textcolor{white}{36\frac{38}{39}}$$return { ["body"] = 112, ["id"] = "jvRY9t_0329_0117", ["obtiznost"] = 1.09, ["reseni"] = { ["float"] = 36.974358974359, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1442, ["jmenovatel"] = 39 }, ["render"] = "\\frac{2884}{78}", ["typ"] = "cislo" }, ["tex"] = "36\\frac{38}{39}", ["x"] = 36, ["y"] = 38, ["z"] = 39 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "3 - 1\\frac{4}{13}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "13 + 4", ["typ"] = "plus" }, ["render"] = "13 + 13 + 4", ["typ"] = "plus" }, ["render"] = "3 - 1\\frac{4}{13} + 13 + 13 + 4", ["typ"] = "plus" }, ["render"] = "(3 - 1\\frac{4}{13} + 13 + 13 + 4)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-14}{-12} \\cdot (3 - 1\\frac{4}{13} + 13 + 13 + 4)", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.9, bodu=113, $$-22 + (-12) + (-15 \cdot 4\frac{5}{14} + (-9)) - (15 - (-17))=\textcolor{white}{-140\frac{5}{14}}$$return { ["body"] = 113, ["id"] = "gs8qVF_0329_0117", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = -140.35714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1965, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-1965}{14}", ["typ"] = "cislo" }, ["tex"] = "-140\\frac{5}{14}", ["x"] = -140, ["y"] = 5, ["z"] = 14 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-22 + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 4\\frac{5}{14}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 4\\frac{5}{14} + (-9)", ["typ"] = "plus" }, ["render"] = "-22 + (-12) + (-15 \\cdot 4\\frac{5}{14} + (-9))", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "15 - (-17)", ["typ"] = "minus" }, ["render"] = "(15 - (-17))", ["typ"] = "zavorka" }, ["render"] = "-22 + (-12) + (-15 \\cdot 4\\frac{5}{14} + (-9)) - (15 - (-17))", ["typ"] = "minus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.91, bodu=144, $$\frac{\frac{\frac{15}{3\frac{1}{6} \cdot 7}}{13}}{4\frac{4}{13} + (-13)}=\textcolor{white}{-\frac{90}{15029}}$$return { ["body"] = 144, ["id"] = "P6CkBP_0329_0117", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = -0.0059884223833921, ["objekt"] = { ["hodnota"] = { ["citatel"] = -90, ["jmenovatel"] = 15029 }, ["render"] = "\\frac{1170}{-195377}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{90}{15029}", ["y"] = -90, ["z"] = 15029 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot 7", ["typ"] = "krat" }, ["render"] = "\\frac{15}{3\\frac{1}{6} \\cdot 7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{15}{3\\frac{1}{6} \\cdot 7}}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 56, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{13} + (-13)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{\\frac{15}{3\\frac{1}{6} \\cdot 7}}{13}}{4\\frac{4}{13} + (-13)}", ["typ"] = "lomeno" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.92, bodu=197, $$(1\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\frac{5}{10})) \cdot (8 - (20 + 10))=\textcolor{white}{17167\frac{1}{3}}$$return { ["body"] = 197, ["id"] = "9mqUPN_0329_0117", ["obtiznost"] = 1.634, ["reseni"] = { ["float"] = 17167.333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 51502, ["jmenovatel"] = 3 }, ["render"] = "\\frac{51502}{3}", ["typ"] = "cislo" }, ["tex"] = "17167\\frac{1}{3}", ["x"] = 17167, ["y"] = 1, ["z"] = 3 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.92", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} + 6", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "12 - (-16)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - (-16))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "(12 - (-16))^2 + 3\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "((12 - (-16))^2 + 3\\frac{5}{10})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10})", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10}))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "20 + 10", ["typ"] = "plus" }, ["render"] = "(20 + 10)", ["typ"] = "zavorka" }, ["render"] = "8 - (20 + 10)", ["typ"] = "minus" }, ["render"] = "(8 - (20 + 10))", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10})) \\cdot (8 - (20 + 10))", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.93, bodu=133, $$(\frac{20 \cdot 4}{6 \cdot 4\frac{4}{9}} - (19 + (-20)))^4=\textcolor{white}{256}$$return { ["body"] = 133, ["id"] = "o0SyOJ_0329_0117", ["obtiznost"] = 1.2328, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 256, ["jmenovatel"] = 1 }, ["render"] = "\\frac{256}{1}", ["typ"] = "cislo" }, ["tex"] = "256", ["tex_float"] = "256", ["x"] = 256 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.93", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "19 + (-20)", ["typ"] = "plus" }, ["render"] = "(19 + (-20))", ["typ"] = "zavorka" }, ["render"] = "\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}} - (19 + (-20))", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}} - (19 + (-20)))^4", ["typ"] = "mocnina" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.94, bodu=181, $$-13 + \frac{2\frac{4}{7}}{\frac{4\frac{2}{6}}{-19}} + 2\frac{4}{9} + (-9 + 11)=\textcolor{white}{-19\frac{680}{819}}$$return { ["body"] = 181, ["id"] = "w80vYb_0329_0117", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = -19.830280830281, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16241, ["jmenovatel"] = 819 }, ["render"] = "\\frac{-16241}{819}", ["typ"] = "cislo" }, ["tex"] = "-19\\frac{680}{819}", ["x"] = -19, ["y"] = 680, ["z"] = 819 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{6}}{-19}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "-13 + \\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 + 11", ["typ"] = "plus" }, ["render"] = "-13 + \\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9} + (-9 + 11)", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.95, bodu=141, $$\frac{18}{-17} \cdot ((\frac{-21}{20})^2 + (-10)) \cdot 16=\textcolor{white}{150\frac{312}{425}}$$return { ["body"] = 141, ["id"] = "SUgX14_0329_0117", ["obtiznost"] = 1.2864, ["reseni"] = { ["float"] = 150.73411764706, ["objekt"] = { ["hodnota"] = { ["citatel"] = 64062, ["jmenovatel"] = 425 }, ["render"] = "\\frac{512496}{3400}", ["typ"] = "cislo" }, ["tex"] = "150\\frac{312}{425}", ["x"] = 150, ["y"] = 312, ["z"] = 425 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-17}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{-21}{20}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-21}{20})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(\\frac{-21}{20})^2 + (-10)", ["typ"] = "plus" }, ["render"] = "((\\frac{-21}{20})^2 + (-10))", ["typ"] = "zavorka" }, ["render"] = "\\frac{18}{-17} \\cdot ((\\frac{-21}{20})^2 + (-10))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-17} \\cdot ((\\frac{-21}{20})^2 + (-10)) \\cdot 16", ["typ"] = "krat" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.96, bodu=185, $$1\frac{1}{9} \cdot 12 \cdot \frac{14}{4\frac{4}{11} - 1\frac{5}{7}} + (-6)=\textcolor{white}{64\frac{70}{153}}$$return { ["body"] = 185, ["id"] = "Tf9wjE_0329_0117", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 64.457516339869, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9862, ["jmenovatel"] = 153 }, ["render"] = "\\frac{9862}{153}", ["typ"] = "cislo" }, ["tex"] = "64\\frac{70}{153}", ["x"] = 64, ["y"] = 70, ["z"] = 153 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{11} - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{9} \\cdot 12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} \\cdot 12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}} + (-6)", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.97, bodu=188, $$16 + \frac{4}{2\frac{5}{10} + (-12 - (-9))^3 \cdot 4\frac{2}{11}} + 4\frac{2}{7}=\textcolor{white}{20\frac{606}{2429}}$$return { ["body"] = 188, ["id"] = "wjBglW_0329_0117", ["obtiznost"] = 1.5812, ["reseni"] = { ["float"] = 20.249485384932, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49186, ["jmenovatel"] = 2429 }, ["render"] = "\\frac{49186}{2429}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{606}{2429}", ["x"] = 20, ["y"] = 606, ["z"] = 2429 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-12 - (-9)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-12 - (-9))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "(-12 - (-9))^3 \\cdot 4\\frac{2}{11}", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}} + 4\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "16 + \\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}} + 4\\frac{2}{7}", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.98, bodu=260, $$(3\frac{5}{10} + 4\frac{2}{10}) \cdot \frac{8}{\frac{1\frac{3}{7}}{2\frac{4}{12}}} + 1\frac{3}{11}=\textcolor{white}{101\frac{731}{825}}$$return { ["body"] = 260, ["id"] = "Ms0y6N_0329_0117", ["obtiznost"] = 1.98, ["reseni"] = { ["float"] = 101.88606060606, ["objekt"] = { ["hodnota"] = { ["citatel"] = 84056, ["jmenovatel"] = 825 }, ["render"] = "\\frac{84056}{825}", ["typ"] = "cislo" }, ["tex"] = "101\\frac{731}{825}", ["x"] = 101, ["y"] = 731, ["z"] = 825 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{10} + 4\\frac{2}{10}", ["typ"] = "plus" }, ["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}}", ["typ"] = "lomeno" }, ["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10}) \\cdot \\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10}) \\cdot \\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}} + 1\\frac{3}{11}", ["typ"] = "plus" } }

seed: OfzIHnd1vuGS5qgB7hGE_0.99, bodu=190, $$\frac{4\frac{4}{9} - (-15)}{3\frac{3}{6} \cdot (1\frac{4}{8} - 11) \cdot 17}=\textcolor{white}{-\frac{100}{2907}}$$return { ["body"] = 190, ["id"] = "zrvieE_0329_0117", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = -0.034399724802202, ["objekt"] = { ["hodnota"] = { ["citatel"] = -100, ["jmenovatel"] = 2907 }, ["render"] = "\\frac{700}{-20349}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{100}{2907}", ["y"] = -100, ["z"] = 2907 }, ["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - (-15)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} - 11", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{8} - 11)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{8} - 11) \\cdot 17", ["typ"] = "krat" }, ["render"] = "3\\frac{3}{6} \\cdot (1\\frac{4}{8} - 11) \\cdot 17", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{4}{9} - (-15)}{3\\frac{3}{6} \\cdot (1\\frac{4}{8} - 11) \\cdot 17}", ["typ"] = "lomeno" } }

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