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Nahodny test, priklady s rostouci obtiznosti...

seed: 9XgNHY9CrdZnZbunL7Fp_0, bodu=5, $$6 \cdot -7 - (-9) - 6=\textcolor{white}{-39}$$return { ["body"] = 5, ["id"] = "7BhTaZ_1019_0148", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -39, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-39}{1}", ["typ"] = "cislo" }, ["tex"] = "-39", ["x"] = -39 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -7 - (-9)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -7 - (-9) - 6", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.01, bodu=5, $$((5 - 6) \cdot 5)^3 \cdot 5=\textcolor{white}{-625}$$return { ["body"] = 5, ["id"] = "rgiO3i_1019_0148", ["obtiznost"] = 0.0604, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -625, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-625}{1}", ["typ"] = "cislo" }, ["tex"] = "-625", ["tex_float"] = "-625", ["x"] = -625 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.01", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 - 6", ["typ"] = "minus" }, ["render"] = "(5 - 6)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(5 - 6) \\cdot 5", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "((5 - 6) \\cdot 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "((5 - 6) \\cdot 5)^3 \\cdot 5", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.02, bodu=23, $$6 \cdot (\frac{2}{5})^4=\textcolor{white}{\frac{96}{625}}$$return { ["body"] = 23, ["id"] = "kJojGn_1019_0148", ["obtiznost"] = 0.2764, ["reseni"] = { ["float"] = 0.1536, ["objekt"] = { ["hodnota"] = { ["citatel"] = 96, ["jmenovatel"] = 625 }, ["render"] = "\\frac{96}{625}", ["typ"] = "cislo" }, ["tex"] = "\\frac{96}{625}", ["y"] = 96, ["z"] = 625 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.02", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{2}{5})^4", ["typ"] = "mocnina" }, ["render"] = "6 \\cdot (\\frac{2}{5})^4", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.03, bodu=5, $$(6 - 7) \cdot 8 \cdot 6=\textcolor{white}{-48}$$return { ["body"] = 5, ["id"] = "ttLDt0_1019_0148", ["obtiznost"] = 0.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -48, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-48}{1}", ["typ"] = "cislo" }, ["tex"] = "-48", ["tex_float"] = "-48", ["x"] = -48 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.03", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 - 7", ["typ"] = "minus" }, ["render"] = "(6 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 6", ["typ"] = "krat" }, ["render"] = "(6 - 7) \\cdot 8 \\cdot 6", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.04, bodu=10, $$(\frac{-4}{-6})^2 \cdot 7=\textcolor{white}{3\frac{1}{9}}$$return { ["body"] = 10, ["id"] = "k0or2M_1019_0148", ["obtiznost"] = 0.0452, ["reseni"] = { ["float"] = 3.1111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "\\frac{28}{9}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{9}", ["x"] = 3, ["y"] = 1, ["z"] = 9 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.04", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{-6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-4}{-6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(\\frac{-4}{-6})^2 \\cdot 7", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.05, bodu=11, $$(\frac{8 + (-8)}{-8 + 8 + 4})^3=\textcolor{white}{0}$$return { ["body"] = 11, ["id"] = "tP7rrF_1019_0148", ["obtiznost"] = 0.0504, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.05", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-8 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-8 + 8 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{8 + (-8)}{-8 + 8 + 4}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8 + (-8)}{-8 + 8 + 4})^3", ["typ"] = "mocnina" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.06, bodu=5, $$-7 + 7 + (-4 \cdot 8)=\textcolor{white}{-32}$$return { ["body"] = 5, ["id"] = "zDNof7_1019_0148", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -32, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-32}{1}", ["typ"] = "cislo" }, ["tex"] = "-32", ["x"] = -32 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-7 + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 8", ["typ"] = "krat" }, ["render"] = "-7 + 7 + (-4 \\cdot 8)", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.07, bodu=7, $$(6 + 7)^2 - 3 \cdot -8=\textcolor{white}{193}$$return { ["body"] = 7, ["id"] = "OZhXfv_1019_0148", ["obtiznost"] = 0.138, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 193, ["jmenovatel"] = 1 }, ["render"] = "\\frac{193}{1}", ["typ"] = "cislo" }, ["tex"] = "193", ["x"] = 193 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.07", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 + 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3 \\cdot -8", ["typ"] = "krat" }, ["render"] = "(6 + 7)^2 - 3 \\cdot -8", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.08, bodu=12, $$\frac{7 + 10}{9 + 5}=\textcolor{white}{1\frac{3}{14}}$$return { ["body"] = 12, ["id"] = "LWN2Ao_1019_0148", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 1.2142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 14 }, ["render"] = "\\frac{17}{14}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{3}{14}", ["x"] = 1, ["y"] = 3, ["z"] = 14 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "7 + 10", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "9 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{7 + 10}{9 + 5}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.09, bodu=24, $$(4 + 3\frac{2}{4} + 5) \cdot (7 + 9)=\textcolor{white}{200}$$return { ["body"] = 24, ["id"] = "wA0wdN_1019_0148", ["obtiznost"] = 0.29, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 200, ["jmenovatel"] = 1 }, ["render"] = "\\frac{400}{2}", ["typ"] = "cislo" }, ["tex"] = "200", ["tex_float"] = "200", ["x"] = 200 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.09", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{4} + 5", ["typ"] = "plus" }, ["render"] = "4 + 3\\frac{2}{4} + 5", ["typ"] = "plus" }, ["render"] = "(4 + 3\\frac{2}{4} + 5)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 9", ["typ"] = "plus" }, ["render"] = "(7 + 9)", ["typ"] = "zavorka" }, ["render"] = "(4 + 3\\frac{2}{4} + 5) \\cdot (7 + 9)", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.1, bodu=24, $$5 \cdot 7 \cdot 3\frac{2}{6}=\textcolor{white}{116\frac{2}{3}}$$return { ["body"] = 24, ["id"] = "cMLZfz_1019_0148", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 116.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 350, ["jmenovatel"] = 3 }, ["render"] = "\\frac{350}{3}", ["typ"] = "cislo" }, ["tex"] = "116\\frac{2}{3}", ["x"] = 116, ["y"] = 2, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 3\\frac{2}{6}", ["typ"] = "krat" }, ["render"] = "5 \\cdot 7 \\cdot 3\\frac{2}{6}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.11, bodu=13, $$\frac{12}{10 \cdot -4}=\textcolor{white}{-0{,}3}$$return { ["body"] = 13, ["id"] = "33U0sw_1019_0148", ["obtiznost"] = 0.11, ["reseni"] = { ["float"] = -0.3, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 10 }, ["render"] = "\\frac{12}{-40}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{10}", ["tex_float"] = "-0{,}3", ["y"] = -3, ["z"] = 10 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -4", ["typ"] = "krat" }, ["render"] = "\\frac{12}{10 \\cdot -4}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.12, bodu=26, $$\frac{5}{-3} \cdot (4\frac{3}{5} - 9)=\textcolor{white}{7\frac{1}{3}}$$return { ["body"] = 26, ["id"] = "C81Jry_1019_0148", ["obtiznost"] = 0.32, ["reseni"] = { ["float"] = 7.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 3 }, ["render"] = "\\frac{110}{15}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{1}{3}", ["x"] = 7, ["y"] = 1, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-3}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{5} - 9", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{5} - 9)", ["typ"] = "zavorka" }, ["render"] = "\\frac{5}{-3} \\cdot (4\\frac{3}{5} - 9)", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.13, bodu=36, $$(\frac{4}{-9})^3 \cdot 11=\textcolor{white}{-\frac{704}{729}}$$return { ["body"] = 36, ["id"] = "KeeUdF_1019_0148", ["obtiznost"] = 0.4472, ["reseni"] = { ["float"] = -0.96570644718793, ["objekt"] = { ["hodnota"] = { ["citatel"] = -704, ["jmenovatel"] = 729 }, ["render"] = "\\frac{-704}{729}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{704}{729}", ["y"] = -704, ["z"] = 729 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.13", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{-9}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{4}{-9})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{-9})^3 \\cdot 11", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.14, bodu=14, $$\frac{9}{13 \cdot 11}=\textcolor{white}{\frac{9}{143}}$$return { ["body"] = 14, ["id"] = "AHIFhi_1019_0148", ["obtiznost"] = 0.14, ["reseni"] = { ["float"] = 0.062937062937063, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 143 }, ["render"] = "\\frac{9}{143}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{143}", ["y"] = 9, ["z"] = 143 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "13 \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{9}{13 \\cdot 11}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.15, bodu=15, $$\frac{\frac{11}{9}}{(6 - 6)^4 + 5}=\textcolor{white}{\frac{11}{45}}$$return { ["body"] = 15, ["id"] = "NcLzue_1019_0148", ["obtiznost"] = 0.1504, ["reseni"] = { ["float"] = 0.24444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 45 }, ["render"] = "\\frac{11}{45}", ["typ"] = "cislo" }, ["tex"] = "\\frac{11}{45}", ["y"] = 11, ["z"] = 45 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(6 - 6)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(6 - 6)^4 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{11}{9}}{(6 - 6)^4 + 5}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.16, bodu=15, $$10 \cdot \frac{9}{3}=\textcolor{white}{30}$$return { ["body"] = 15, ["id"] = "nWuoyz_1019_0148", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 1 }, ["render"] = "\\frac{30}{1}", ["typ"] = "cislo" }, ["tex"] = "30", ["tex_float"] = "30", ["x"] = 30 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3}", ["typ"] = "lomeno" }, ["render"] = "10 \\cdot \\frac{9}{3}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.17, bodu=30, $$10 + 4\frac{1}{3} \cdot 7 + 13=\textcolor{white}{53\frac{1}{3}}$$return { ["body"] = 30, ["id"] = "JqOIXA_1019_0148", ["obtiznost"] = 0.37, ["reseni"] = { ["float"] = 53.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 160, ["jmenovatel"] = 3 }, ["render"] = "\\frac{160}{3}", ["typ"] = "cislo" }, ["tex"] = "53\\frac{1}{3}", ["x"] = 53, ["y"] = 1, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{3} \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{3} \\cdot 7 + 13", ["typ"] = "plus" }, ["render"] = "10 + 4\\frac{1}{3} \\cdot 7 + 13", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.18, bodu=16, $$\frac{\frac{6}{-4}}{12}=\textcolor{white}{-0{,}125}$$return { ["body"] = 16, ["id"] = "VjESZL_1019_0148", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = -0.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-3}{24}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{8}", ["tex_float"] = "-0{,}125", ["y"] = -1, ["z"] = 8 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{6}{-4}}{12}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.19, bodu=31, $$8 \cdot (3 + 4\frac{3}{7} - (11 + (-9)))=\textcolor{white}{43\frac{3}{7}}$$return { ["body"] = 31, ["id"] = "XWj8KW_1019_0148", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 43.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 304, ["jmenovatel"] = 7 }, ["render"] = "\\frac{304}{7}", ["typ"] = "cislo" }, ["tex"] = "43\\frac{3}{7}", ["x"] = 43, ["y"] = 3, ["z"] = 7 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "3 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "11 + (-9)", ["typ"] = "plus" }, ["render"] = "(11 + (-9))", ["typ"] = "zavorka" }, ["render"] = "3 + 4\\frac{3}{7} - (11 + (-9))", ["typ"] = "minus" }, ["render"] = "(3 + 4\\frac{3}{7} - (11 + (-9)))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (3 + 4\\frac{3}{7} - (11 + (-9)))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.2, bodu=18, $$\frac{8}{(6 - (7 - 4))^3 + 4}=\textcolor{white}{\frac{8}{31}}$$return { ["body"] = 18, ["id"] = "TqNrpm_1019_0148", ["obtiznost"] = 0.2112, ["reseni"] = { ["float"] = 0.25806451612903, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 31 }, ["render"] = "\\frac{8}{31}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{31}", ["y"] = 8, ["z"] = 31 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 - 4", ["typ"] = "minus" }, ["render"] = "(7 - 4)", ["typ"] = "zavorka" }, ["render"] = "6 - (7 - 4)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(6 - (7 - 4))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(6 - (7 - 4))^3 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{8}{(6 - (7 - 4))^3 + 4}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.21, bodu=18, $$\frac{7 + 9}{\frac{11}{5}}=\textcolor{white}{7\frac{3}{11}}$$return { ["body"] = 18, ["id"] = "z67qoo_1019_0148", ["obtiznost"] = 0.21, ["reseni"] = { ["float"] = 7.2727272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 11 }, ["render"] = "\\frac{80}{11}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{3}{11}", ["x"] = 7, ["y"] = 3, ["z"] = 11 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{5}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7 + 9}{\\frac{11}{5}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.22, bodu=34, $$\frac{12 + 8 \cdot 3\frac{3}{8}}{-8}=\textcolor{white}{-4{,}875}$$return { ["body"] = 34, ["id"] = "rdnebQ_1019_0148", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = -4.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -39, ["jmenovatel"] = 8 }, ["render"] = "\\frac{39}{-8}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{7}{8}", ["tex_float"] = "-4{,}875", ["x"] = -4, ["y"] = 7, ["z"] = 8 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 3\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "12 + 8 \\cdot 3\\frac{3}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{12 + 8 \\cdot 3\\frac{3}{8}}{-8}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.23, bodu=55, $$\frac{4}{\frac{4\frac{2}{7}}{9}} + 1\frac{4}{7}=\textcolor{white}{9\frac{34}{35}}$$return { ["body"] = 55, ["id"] = "ih8xrO_1019_0148", ["obtiznost"] = 0.63, ["reseni"] = { ["float"] = 9.9714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 349, ["jmenovatel"] = 35 }, ["render"] = "\\frac{349}{35}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{34}{35}", ["x"] = 9, ["y"] = 34, ["z"] = 35 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{7}}{9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4}{\\frac{4\\frac{2}{7}}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{\\frac{4\\frac{2}{7}}{9}} + 1\\frac{4}{7}", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.24, bodu=20, $$\frac{-11 + 8 + 13 \cdot -12}{10}=\textcolor{white}{-15{,}9}$$return { ["body"] = 20, ["id"] = "qvOzzD_1019_0148", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = -15.9, ["objekt"] = { ["hodnota"] = { ["citatel"] = -159, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-159}{10}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{9}{10}", ["tex_float"] = "-15{,}9", ["x"] = -15, ["y"] = 9, ["z"] = 10 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-11 + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -12", ["typ"] = "krat" }, ["render"] = "-11 + 8 + 13 \\cdot -12", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 + 8 + 13 \\cdot -12}{10}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.25, bodu=21, $$7 \cdot \frac{10}{7} - (-7)=\textcolor{white}{17}$$return { ["body"] = 21, ["id"] = "Vyaq8n_1019_0148", ["obtiznost"] = 0.25, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "\\frac{17}{1}", ["typ"] = "cislo" }, ["tex"] = "17", ["x"] = 17 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{7}", ["typ"] = "lomeno" }, ["render"] = "7 \\cdot \\frac{10}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot \\frac{10}{7} - (-7)", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.26, bodu=10, $$9 \cdot -9 + 9 \cdot 8=\textcolor{white}{-9}$$return { ["body"] = 10, ["id"] = "3Nk3DL_1019_0148", ["obtiznost"] = 0.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-9}{1}", ["typ"] = "cislo" }, ["tex"] = "-9", ["x"] = -9 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["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" }, ["render"] = "9 \\cdot -9 + 9 \\cdot 8", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.27, bodu=39, $$\frac{(\frac{-12}{7 + 5})^3}{4\frac{3}{7}}=\textcolor{white}{-\frac{7}{31}}$$return { ["body"] = 39, ["id"] = "fH2tug_1019_0148", ["obtiznost"] = 0.4708, ["reseni"] = { ["float"] = -0.2258064516129, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 31 }, ["render"] = "\\frac{-7}{31}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{31}", ["y"] = -7, ["z"] = 31 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.27", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{-12}{7 + 5}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-12}{7 + 5})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{-12}{7 + 5})^3}{4\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.28, bodu=11, $$8 \cdot 11 \cdot (-8 - (-7))=\textcolor{white}{-88}$$return { ["body"] = 11, ["id"] = "cWKs6s_1019_0148", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -88, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-88}{1}", ["typ"] = "cislo" }, ["tex"] = "-88", ["tex_float"] = "-88", ["x"] = -88 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-8 - (-7)", ["typ"] = "minus" }, ["render"] = "(-8 - (-7))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot 11 \\cdot (-8 - (-7))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.29, bodu=29, $$\frac{(\frac{8}{11})^2}{9 + 11}=\textcolor{white}{\frac{16}{605}}$$return { ["body"] = 29, ["id"] = "JGCyv1_1019_0148", ["obtiznost"] = 0.364, ["reseni"] = { ["float"] = 0.026446280991736, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 605 }, ["render"] = "\\frac{64}{2420}", ["typ"] = "cislo" }, ["tex"] = "\\frac{16}{605}", ["y"] = 16, ["z"] = 605 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.29", ["zadani"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{11})^2", ["typ"] = "mocnina" }, ["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"] = "\\frac{(\\frac{8}{11})^2}{9 + 11}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.3, bodu=28, $$\frac{11}{(\frac{10}{-10 - 8})^2}=\textcolor{white}{35{,}64}$$return { ["body"] = 28, ["id"] = "f153x3_1019_0148", ["obtiznost"] = 0.3424, ["reseni"] = { ["float"] = 35.64, ["objekt"] = { ["hodnota"] = { ["citatel"] = 891, ["jmenovatel"] = 25 }, ["render"] = "\\frac{891}{25}", ["typ"] = "cislo" }, ["tex"] = "35\\frac{16}{25}", ["tex_float"] = "35{,}64", ["x"] = 35, ["y"] = 16, ["z"] = 25 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["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 - 8", ["typ"] = "minus" }, ["render"] = "\\frac{10}{-10 - 8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{-10 - 8})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{11}{(\\frac{10}{-10 - 8})^2}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.31, bodu=63, $$3\frac{3}{7} - (-13) - (-3 - 3\frac{2}{4} + 6)=\textcolor{white}{16\frac{13}{14}}$$return { ["body"] = 63, ["id"] = "lUQ90G_1019_0148", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = 16.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 237, ["jmenovatel"] = 14 }, ["render"] = "\\frac{237}{14}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{13}{14}", ["x"] = 16, ["y"] = 13, ["z"] = 14 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-3 - 3\\frac{2}{4}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-3 - 3\\frac{2}{4} + 6", ["typ"] = "plus" }, ["render"] = "(-3 - 3\\frac{2}{4} + 6)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{3}{7} - (-13) - (-3 - 3\\frac{2}{4} + 6)", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.32, bodu=64, $$\frac{-9 + 3\frac{4}{9} \cdot 1\frac{5}{7}}{7}=\textcolor{white}{-\frac{65}{147}}$$return { ["body"] = 64, ["id"] = "3uqSHi_1019_0148", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = -0.4421768707483, ["objekt"] = { ["hodnota"] = { ["citatel"] = -65, ["jmenovatel"] = 147 }, ["render"] = "\\frac{-65}{147}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{65}{147}", ["y"] = -65, ["z"] = 147 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} \\cdot 1\\frac{5}{7}", ["typ"] = "krat" }, ["render"] = "-9 + 3\\frac{4}{9} \\cdot 1\\frac{5}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 + 3\\frac{4}{9} \\cdot 1\\frac{5}{7}}{7}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.33, bodu=27, $$\frac{-2}{12 + (2 - (9 + (-8))^2)^3}=\textcolor{white}{-\frac{2}{13}}$$return { ["body"] = 27, ["id"] = "CEwPcU_1019_0148", ["obtiznost"] = 0.3316, ["reseni"] = { ["float"] = -0.15384615384615, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-2}{13}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{13}", ["y"] = -2, ["z"] = 13 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "9 + (-8)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(9 + (-8))^2", ["typ"] = "mocnina" }, ["render"] = "2 - (9 + (-8))^2", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(2 - (9 + (-8))^2)^3", ["typ"] = "mocnina" }, ["render"] = "12 + (2 - (9 + (-8))^2)^3", ["typ"] = "plus" }, ["render"] = "\\frac{-2}{12 + (2 - (9 + (-8))^2)^3}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.34, bodu=13, $$11 - (13 - 9) \cdot -10=\textcolor{white}{51}$$return { ["body"] = 13, ["id"] = "UketAm_1019_0148", ["obtiznost"] = 0.34, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 51, ["jmenovatel"] = 1 }, ["render"] = "\\frac{51}{1}", ["typ"] = "cislo" }, ["tex"] = "51", ["tex_float"] = "51", ["x"] = 51 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 - 9", ["typ"] = "minus" }, ["render"] = "(13 - 9)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(13 - 9) \\cdot -10", ["typ"] = "krat" }, ["render"] = "11 - (13 - 9) \\cdot -10", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.35, bodu=29, $$-12 + (-12 \cdot (\frac{10}{15})^3)=\textcolor{white}{-15\frac{5}{9}}$$return { ["body"] = 29, ["id"] = "r25vPu_1019_0148", ["obtiznost"] = 0.364, ["reseni"] = { ["float"] = -15.555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -140, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-140}{9}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{5}{9}", ["x"] = -15, ["y"] = 5, ["z"] = 9 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "-12 \\cdot (\\frac{10}{15})^3", ["typ"] = "krat" }, ["render"] = "-12 + (-12 \\cdot (\\frac{10}{15})^3)", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.36, bodu=47, $$\frac{9}{-11} - \frac{3\frac{1}{6}}{16}=\textcolor{white}{-1\frac{17}{1056}}$$return { ["body"] = 47, ["id"] = "LwHmAv_1019_0148", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = -1.0160984848485, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1073, ["jmenovatel"] = 1056 }, ["render"] = "\\frac{-1073}{1056}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{17}{1056}", ["x"] = -1, ["y"] = 17, ["z"] = 1056 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{6}}{16}", ["typ"] = "lomeno" }, ["render"] = "\\frac{9}{-11} - \\frac{3\\frac{1}{6}}{16}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.37, bodu=48, $$-5 - (3 - 9 \cdot 1\frac{5}{10})=\textcolor{white}{5{,}5}$$return { ["body"] = 48, ["id"] = "tpeiMy_1019_0148", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = 5.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 2 }, ["render"] = "\\frac{11}{2}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{2}", ["tex_float"] = "5{,}5", ["x"] = 5, ["y"] = 1, ["z"] = 2 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 1\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "3 - 9 \\cdot 1\\frac{5}{10}", ["typ"] = "minus" }, ["render"] = "(3 - 9 \\cdot 1\\frac{5}{10})", ["typ"] = "zavorka" }, ["render"] = "-5 - (3 - 9 \\cdot 1\\frac{5}{10})", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.38, bodu=49, $$\frac{10 \cdot 15 \cdot 10}{3\frac{4}{7}}=\textcolor{white}{420}$$return { ["body"] = 49, ["id"] = "1u6WZs_1019_0148", ["obtiznost"] = 0.58, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 420, ["jmenovatel"] = 1 }, ["render"] = "\\frac{10500}{25}", ["typ"] = "cislo" }, ["tex"] = "420", ["x"] = 420 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 10", ["typ"] = "krat" }, ["render"] = "10 \\cdot 15 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{10 \\cdot 15 \\cdot 10}{3\\frac{4}{7}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.39, bodu=73, $$12 + 16 - 4\frac{5}{10} - \frac{3\frac{4}{11}}{-6}=\textcolor{white}{24\frac{2}{33}}$$return { ["body"] = 73, ["id"] = "qsVVrB_1019_0148", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = 24.060606060606, ["objekt"] = { ["hodnota"] = { ["citatel"] = 794, ["jmenovatel"] = 33 }, ["render"] = "\\frac{3176}{132}", ["typ"] = "cislo" }, ["tex"] = "24\\frac{2}{33}", ["x"] = 24, ["y"] = 2, ["z"] = 33 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "12 + 16", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "12 + 16 - 4\\frac{5}{10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{11}}{-6}", ["typ"] = "lomeno" }, ["render"] = "12 + 16 - 4\\frac{5}{10} - \\frac{3\\frac{4}{11}}{-6}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.4, bodu=51, $$7 \cdot (2\frac{1}{6} + (-8 \cdot -7 \cdot 11))=\textcolor{white}{4327\frac{1}{6}}$$return { ["body"] = 51, ["id"] = "aTDw8a_1019_0148", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = 4327.1666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 25963, ["jmenovatel"] = 6 }, ["render"] = "\\frac{25963}{6}", ["typ"] = "cislo" }, ["tex"] = "4327\\frac{1}{6}", ["x"] = 4327, ["y"] = 1, ["z"] = 6 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.4", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot -7 \\cdot 11", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11)", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11))", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (2\\frac{1}{6} + (-8 \\cdot -7 \\cdot 11))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.41, bodu=75, $$8 \cdot (-7 + \frac{1\frac{3}{6} - 10}{3\frac{5}{11}} + 13)=\textcolor{white}{28\frac{6}{19}}$$return { ["body"] = 75, ["id"] = "Pu6ykj_1019_0148", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = 28.315789473684, ["objekt"] = { ["hodnota"] = { ["citatel"] = 538, ["jmenovatel"] = 19 }, ["render"] = "\\frac{2152}{76}", ["typ"] = "cislo" }, ["tex"] = "28\\frac{6}{19}", ["x"] = 28, ["y"] = 6, ["z"] = 19 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.41", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13", ["typ"] = "plus" }, ["render"] = "-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13", ["typ"] = "plus" }, ["render"] = "(-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (-7 + \\frac{1\\frac{3}{6} - 10}{3\\frac{5}{11}} + 13)", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.42, bodu=53, $$-11 \cdot 1\frac{2}{7} \cdot \frac{8}{14}=\textcolor{white}{-8\frac{4}{49}}$$return { ["body"] = 53, ["id"] = "SQ0znx_1019_0148", ["obtiznost"] = 0.62, ["reseni"] = { ["float"] = -8.0816326530612, ["objekt"] = { ["hodnota"] = { ["citatel"] = -396, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-396}{49}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{4}{49}", ["x"] = -8, ["y"] = 4, ["z"] = 49 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{14}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{7} \\cdot \\frac{8}{14}", ["typ"] = "krat" }, ["render"] = "-11 \\cdot 1\\frac{2}{7} \\cdot \\frac{8}{14}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.43, bodu=78, $$(10 + 1\frac{1}{9}) \cdot \frac{16}{4\frac{3}{6}} \cdot 10=\textcolor{white}{395\frac{5}{81}}$$return { ["body"] = 78, ["id"] = "JfDBRn_1019_0148", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 395.06172839506, ["objekt"] = { ["hodnota"] = { ["citatel"] = 32000, ["jmenovatel"] = 81 }, ["render"] = "\\frac{32000}{81}", ["typ"] = "cislo" }, ["tex"] = "395\\frac{5}{81}", ["x"] = 395, ["y"] = 5, ["z"] = 81 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.43", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "10 + 1\\frac{1}{9}", ["typ"] = "plus" }, ["render"] = "(10 + 1\\frac{1}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{4\\frac{3}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{4\\frac{3}{6}} \\cdot 10", ["typ"] = "krat" }, ["render"] = "(10 + 1\\frac{1}{9}) \\cdot \\frac{16}{4\\frac{3}{6}} \\cdot 10", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.44, bodu=50, $$(\frac{14}{\frac{-6 \cdot 9}{9}})^3=\textcolor{white}{-12\frac{19}{27}}$$return { ["body"] = 50, ["id"] = "sgO1EY_1019_0148", ["obtiznost"] = 0.588, ["reseni"] = { ["float"] = -12.703703703704, ["objekt"] = { ["hodnota"] = { ["citatel"] = -343, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-343}{27}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{19}{27}", ["x"] = -12, ["y"] = 19, ["z"] = 27 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.44", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 \\cdot 9}{9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{14}{\\frac{-6 \\cdot 9}{9}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{14}{\\frac{-6 \\cdot 9}{9}})^3", ["typ"] = "mocnina" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.45, bodu=106, $$\frac{3\frac{1}{4}}{15} + 2\frac{1}{4} + 12 + 1\frac{2}{7} - 6=\textcolor{white}{9\frac{79}{105}}$$return { ["body"] = 106, ["id"] = "yJFXa8_1019_0148", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = 9.752380952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1024, ["jmenovatel"] = 105 }, ["render"] = "\\frac{1024}{105}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{79}{105}", ["x"] = 9, ["y"] = 79, ["z"] = 105 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12 + 1\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{15} + 2\\frac{1}{4} + 12 + 1\\frac{2}{7} - 6", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.46, bodu=81, $$1\frac{4}{6} \cdot 5 - (15 \cdot 1\frac{4}{9} + 2)=\textcolor{white}{-15\frac{1}{3}}$$return { ["body"] = 81, ["id"] = "AOt0CK_1019_0148", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = -15.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -46, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-46}{3}", ["typ"] = "cislo" }, ["tex"] = "-15\\frac{1}{3}", ["x"] = -15, ["y"] = 1, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 1\\frac{4}{9} + 2", ["typ"] = "plus" }, ["render"] = "(15 \\cdot 1\\frac{4}{9} + 2)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{6} \\cdot 5 - (15 \\cdot 1\\frac{4}{9} + 2)", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.47, bodu=109, $$((4\frac{1}{7} - 10) \cdot 12 - 2\frac{5}{9}) \cdot 2\frac{3}{7}=\textcolor{white}{-176\frac{397}{441}}$$return { ["body"] = 109, ["id"] = "TMnsEY_1019_0148", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = -176.90022675737, ["objekt"] = { ["hodnota"] = { ["citatel"] = -78013, ["jmenovatel"] = 441 }, ["render"] = "\\frac{-78013}{441}", ["typ"] = "cislo" }, ["tex"] = "-176\\frac{397}{441}", ["x"] = -176, ["y"] = 397, ["z"] = 441 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.47", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{7} - 10", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{7} - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{7} - 10) \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "((4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "((4\\frac{1}{7} - 10) \\cdot 12 - 2\\frac{5}{9}) \\cdot 2\\frac{3}{7}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.48, bodu=60, $$\frac{-10}{13} - (2\frac{3}{10} - 8) \cdot 2\frac{2}{2}=\textcolor{white}{16\frac{43}{130}}$$return { ["body"] = 60, ["id"] = "54Wimg_1019_0148", ["obtiznost"] = 0.68, ["reseni"] = { ["float"] = 16.330769230769, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2123, ["jmenovatel"] = 130 }, ["render"] = "\\frac{2123}{130}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{43}{130}", ["x"] = 16, ["y"] = 43, ["z"] = 130 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} - 8", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{10} - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{2}{2}", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{10} - 8) \\cdot 2\\frac{2}{2}", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{13} - (2\\frac{3}{10} - 8) \\cdot 2\\frac{2}{2}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.49, bodu=23, $$11 - (12 - (-13 - (-6)) - 6)^2=\textcolor{white}{-158}$$return { ["body"] = 23, ["id"] = "z4OAX5_1019_0148", ["obtiznost"] = 0.558, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -158, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-158}{1}", ["typ"] = "cislo" }, ["tex"] = "-158", ["x"] = -158 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.49", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-13 - (-6)", ["typ"] = "minus" }, ["render"] = "(-13 - (-6))", ["typ"] = "zavorka" }, ["render"] = "12 - (-13 - (-6))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "12 - (-13 - (-6)) - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - (-13 - (-6)) - 6)^2", ["typ"] = "mocnina" }, ["render"] = "11 - (12 - (-13 - (-6)) - 6)^2", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.5, bodu=86, $$\frac{\frac{4\frac{5}{9}}{10}}{11 - 4\frac{3}{8} + 15}=\textcolor{white}{\frac{164}{7785}}$$return { ["body"] = 86, ["id"] = "9cU0de_1019_0148", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 0.02106615285806, ["objekt"] = { ["hodnota"] = { ["citatel"] = 164, ["jmenovatel"] = 7785 }, ["render"] = "\\frac{328}{15570}", ["typ"] = "cislo" }, ["tex"] = "\\frac{164}{7785}", ["y"] = 164, ["z"] = 7785 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{9}}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "11 - 4\\frac{3}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "11 - 4\\frac{3}{8} + 15", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{4\\frac{5}{9}}{10}}{11 - 4\\frac{3}{8} + 15}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.51, bodu=63, $$(-9 - (2\frac{4}{6} + 11)) \cdot (-5 - 11)=\textcolor{white}{362\frac{2}{3}}$$return { ["body"] = 63, ["id"] = "dMyO9K_1019_0148", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = 362.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1088, ["jmenovatel"] = 3 }, ["render"] = "\\frac{1088}{3}", ["typ"] = "cislo" }, ["tex"] = "362\\frac{2}{3}", ["x"] = 362, ["y"] = 2, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.51", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} + 11", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{6} + 11)", ["typ"] = "zavorka" }, ["render"] = "-9 - (2\\frac{4}{6} + 11)", ["typ"] = "minus" }, ["render"] = "(-9 - (2\\frac{4}{6} + 11))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-5 - 11", ["typ"] = "minus" }, ["render"] = "(-5 - 11)", ["typ"] = "zavorka" }, ["render"] = "(-9 - (2\\frac{4}{6} + 11)) \\cdot (-5 - 11)", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.52, bodu=64, $$\frac{(6 \cdot 11 + (-10)) \cdot 2\frac{4}{9}}{-8}=\textcolor{white}{-17\frac{1}{9}}$$return { ["body"] = 64, ["id"] = "jOL1DG_1019_0148", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = -17.111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -154, ["jmenovatel"] = 9 }, ["render"] = "\\frac{1232}{-72}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{1}{9}", ["x"] = -17, ["y"] = 1, ["z"] = 9 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 11 + (-10)", ["typ"] = "plus" }, ["render"] = "(6 \\cdot 11 + (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(6 \\cdot 11 + (-10)) \\cdot 2\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{(6 \\cdot 11 + (-10)) \\cdot 2\\frac{4}{9}}{-8}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.53, bodu=118, $$3 - (4\frac{3}{6} + 1\frac{2}{8} + (4\frac{1}{5} + 12) \cdot 12)=\textcolor{white}{-197{,}15}$$return { ["body"] = 118, ["id"] = "Cfneum_1019_0148", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -197.15, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3943, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-3943}{20}", ["typ"] = "cislo" }, ["tex"] = "-197\\frac{3}{20}", ["tex_float"] = "-197{,}15", ["x"] = -197, ["y"] = 3, ["z"] = 20 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{5} + 12", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{5} + 12)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{5} + 12) \\cdot 12", ["typ"] = "krat" }, ["render"] = "1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12", ["typ"] = "plus" }, ["render"] = "4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12)", ["typ"] = "zavorka" }, ["render"] = "3 - (4\\frac{3}{6} + 1\\frac{2}{8} + (4\\frac{1}{5} + 12) \\cdot 12)", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.54, bodu=45, $$-2 - (\frac{12}{6} - (-10 \cdot 12))=\textcolor{white}{-124}$$return { ["body"] = 45, ["id"] = "5lfRD8_1019_0148", ["obtiznost"] = 0.54, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -124, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-124}{1}", ["typ"] = "cislo" }, ["tex"] = "-124", ["tex_float"] = "-124", ["x"] = -124 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 12", ["typ"] = "krat" }, ["render"] = "\\frac{12}{6} - (-10 \\cdot 12)", ["typ"] = "minus" }, ["render"] = "(\\frac{12}{6} - (-10 \\cdot 12))", ["typ"] = "zavorka" }, ["render"] = "-2 - (\\frac{12}{6} - (-10 \\cdot 12))", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.55, bodu=68, $$\frac{-9 - (-9 - 1\frac{3}{7}) \cdot 11}{-13}=\textcolor{white}{-8\frac{12}{91}}$$return { ["body"] = 68, ["id"] = "7gvEup_1019_0148", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = -8.1318681318681, ["objekt"] = { ["hodnota"] = { ["citatel"] = -740, ["jmenovatel"] = 91 }, ["render"] = "\\frac{740}{-91}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{12}{91}", ["x"] = -8, ["y"] = 12, ["z"] = 91 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-9 - 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(-9 - 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(-9 - 1\\frac{3}{7}) \\cdot 11", ["typ"] = "krat" }, ["render"] = "-9 - (-9 - 1\\frac{3}{7}) \\cdot 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 - (-9 - 1\\frac{3}{7}) \\cdot 11}{-13}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.56, bodu=78, $$\frac{(4\frac{2}{10} - 5)^3 - (-13)}{-9 + 11}=\textcolor{white}{6{,}244}$$return { ["body"] = 78, ["id"] = "SrjfsX_1019_0148", ["obtiznost"] = 0.8356, ["reseni"] = { ["float"] = 6.244, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1561, ["jmenovatel"] = 250 }, ["render"] = "\\frac{1561}{250}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{61}{250}", ["tex_float"] = "6{,}244", ["x"] = 6, ["y"] = 61, ["z"] = 250 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{10} - 5", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(4\\frac{2}{10} - 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{10} - 5)^3 - (-13)", ["typ"] = "minus" }, ["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"] = "\\frac{(4\\frac{2}{10} - 5)^3 - (-13)}{-9 + 11}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.57, bodu=95, $$1\frac{1}{6} - (-10 \cdot (-19 - 3\frac{3}{7}) - (-9))=\textcolor{white}{-232\frac{5}{42}}$$return { ["body"] = 95, ["id"] = "CpDdwu_1019_0148", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = -232.11904761905, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9749, ["jmenovatel"] = 42 }, ["render"] = "\\frac{-9749}{42}", ["typ"] = "cislo" }, ["tex"] = "-232\\frac{5}{42}", ["x"] = -232, ["y"] = 5, ["z"] = 42 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.57", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-19 - 3\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(-19 - 3\\frac{3}{7})", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot (-19 - 3\\frac{3}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9)", ["typ"] = "minus" }, ["render"] = "(-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} - (-10 \\cdot (-19 - 3\\frac{3}{7}) - (-9))", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.58, bodu=97, $$\frac{3\frac{3}{4} \cdot 17}{-16} \cdot 4\frac{5}{8}=\textcolor{white}{-18\frac{219}{512}}$$return { ["body"] = 97, ["id"] = "MYPVmW_1019_0148", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = -18.427734375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9435, ["jmenovatel"] = 512 }, ["render"] = "\\frac{-9435}{512}", ["typ"] = "cislo" }, ["tex"] = "-18\\frac{219}{512}", ["x"] = -18, ["y"] = 219, ["z"] = 512 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{4} \\cdot 17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{4} \\cdot 17}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{4} \\cdot 17}{-16} \\cdot 4\\frac{5}{8}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.59, bodu=98, $$\frac{-13}{\frac{2\frac{1}{6} \cdot 2\frac{1}{4}}{17 - 2\frac{3}{3}}}=\textcolor{white}{-37\frac{1}{3}}$$return { ["body"] = 98, ["id"] = "g5Oabr_1019_0148", ["obtiznost"] = 0.99, ["reseni"] = { ["float"] = -37.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -112, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-1456}{39}", ["typ"] = "cislo" }, ["tex"] = "-37\\frac{1}{3}", ["x"] = -37, ["y"] = 1, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.59", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot 2\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{3}{3}", ["typ"] = "cislo" }, ["render"] = "17 - 2\\frac{3}{3}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{6} \\cdot 2\\frac{1}{4}}{17 - 2\\frac{3}{3}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{\\frac{2\\frac{1}{6} \\cdot 2\\frac{1}{4}}{17 - 2\\frac{3}{3}}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.6, bodu=74, $$6 \cdot -7 \cdot \frac{4}{15 - 3\frac{5}{8}}=\textcolor{white}{-14\frac{10}{13}}$$return { ["body"] = 74, ["id"] = "WKBMPA_1019_0148", ["obtiznost"] = 0.8, ["reseni"] = { ["float"] = -14.769230769231, ["objekt"] = { ["hodnota"] = { ["citatel"] = -192, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-1344}{91}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{10}{13}", ["x"] = -14, ["y"] = 10, ["z"] = 13 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "15 - 3\\frac{5}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{4}{15 - 3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot -7 \\cdot \\frac{4}{15 - 3\\frac{5}{8}}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.61, bodu=75, $$(16 - 8) \cdot \frac{12}{4\frac{2}{6} - 7}=\textcolor{white}{-36}$$return { ["body"] = 75, ["id"] = "0p6wbM_1019_0148", ["obtiznost"] = 0.81, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -36, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-72}{2}", ["typ"] = "cislo" }, ["tex"] = "-36", ["x"] = -36 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.61", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "16 - 8", ["typ"] = "minus" }, ["render"] = "(16 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{6} - 7", ["typ"] = "minus" }, ["render"] = "\\frac{12}{4\\frac{2}{6} - 7}", ["typ"] = "lomeno" }, ["render"] = "(16 - 8) \\cdot \\frac{12}{4\\frac{2}{6} - 7}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.62, bodu=87, $$\frac{4\frac{1}{5} + 11}{\frac{-9}{(\frac{-13}{6})^2}}=\textcolor{white}{-7\frac{376}{405}}$$return { ["body"] = 87, ["id"] = "RfR6sR_1019_0148", ["obtiznost"] = 0.902, ["reseni"] = { ["float"] = -7.9283950617284, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3211, ["jmenovatel"] = 405 }, ["render"] = "\\frac{12844}{-1620}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{376}{405}", ["x"] = -7, ["y"] = 376, ["z"] = 405 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{5} + 11", ["typ"] = "plus" }, ["c2"] = { ["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"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-13}{6})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-9}{(\\frac{-13}{6})^2}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{1}{5} + 11}{\\frac{-9}{(\\frac{-13}{6})^2}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.63, bodu=104, $$\frac{3\frac{5}{9} - (-9)}{\frac{10 + 1\frac{2}{7}}{-15}} + 6=\textcolor{white}{-10\frac{163}{237}}$$return { ["body"] = 104, ["id"] = "LYDOLv_1019_0148", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = -10.68776371308, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2533, ["jmenovatel"] = 237 }, ["render"] = "\\frac{-2533}{237}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{163}{237}", ["x"] = -10, ["y"] = 163, ["z"] = 237 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} - (-9)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "10 + 1\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{10 + 1\\frac{2}{7}}{-15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{5}{9} - (-9)}{\\frac{10 + 1\\frac{2}{7}}{-15}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{9} - (-9)}{\\frac{10 + 1\\frac{2}{7}}{-15}} + 6", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.64, bodu=136, $$12 + \frac{2\frac{4}{10}}{2\frac{1}{6} - 11} - (-16 - 7)^2=\textcolor{white}{-517\frac{72}{265}}$$return { ["body"] = 136, ["id"] = "HlRIpH_1019_0148", ["obtiznost"] = 1.252, ["reseni"] = { ["float"] = -517.27169811321, ["objekt"] = { ["hodnota"] = { ["citatel"] = -137077, ["jmenovatel"] = 265 }, ["render"] = "\\frac{-137077}{265}", ["typ"] = "cislo" }, ["tex"] = "-517\\frac{72}{265}", ["x"] = -517, ["y"] = 72, ["z"] = 265 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 11", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11}", ["typ"] = "lomeno" }, ["render"] = "12 + \\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-16 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-16 - 7)^2", ["typ"] = "mocnina" }, ["render"] = "12 + \\frac{2\\frac{4}{10}}{2\\frac{1}{6} - 11} - (-16 - 7)^2", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.65, bodu=106, $$\frac{9}{5} - \frac{2\frac{1}{8}}{1\frac{3}{9} - 11}=\textcolor{white}{2\frac{23}{1160}}$$return { ["body"] = 106, ["id"] = "QFLwAo_1019_0148", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = 2.0198275862069, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2343, ["jmenovatel"] = 1160 }, ["render"] = "\\frac{2343}{1160}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{23}{1160}", ["x"] = 2, ["y"] = 23, ["z"] = 1160 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} - 11", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{8}}{1\\frac{3}{9} - 11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{9}{5} - \\frac{2\\frac{1}{8}}{1\\frac{3}{9} - 11}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.66, bodu=108, $$\frac{\frac{4\frac{3}{8} \cdot 15}{2\frac{2}{8} \cdot -15}}{-16}=\textcolor{white}{\frac{35}{288}}$$return { ["body"] = 108, ["id"] = "Fl2jQY_1019_0148", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.12152777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 288 }, ["render"] = "\\frac{-35}{-288}", ["typ"] = "cislo" }, ["tex"] = "\\frac{35}{288}", ["y"] = 35, ["z"] = 288 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{8} \\cdot -15", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{3}{8} \\cdot 15}{2\\frac{2}{8} \\cdot -15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{3}{8} \\cdot 15}{2\\frac{2}{8} \\cdot -15}}{-16}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.67, bodu=109, $$\frac{12 \cdot -7}{\frac{\frac{4\frac{5}{12}}{-16}}{3\frac{1}{6}}}=\textcolor{white}{963\frac{33}{53}}$$return { ["body"] = 109, ["id"] = "OG7WCU_1019_0148", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 963.62264150943, ["objekt"] = { ["hodnota"] = { ["citatel"] = 51072, ["jmenovatel"] = 53 }, ["render"] = "\\frac{-51072}{-53}", ["typ"] = "cislo" }, ["tex"] = "963\\frac{33}{53}", ["x"] = 963, ["y"] = 33, ["z"] = 53 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "12 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{12}}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{5}{12}}{-16}}{3\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12 \\cdot -7}{\\frac{\\frac{4\\frac{5}{12}}{-16}}{3\\frac{1}{6}}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.68, bodu=111, $$\frac{6}{4\frac{2}{7}} - \frac{19 + (-9)}{-7} - 1\frac{1}{10}=\textcolor{white}{1\frac{51}{70}}$$return { ["body"] = 111, ["id"] = "AhlCDj_1019_0148", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 1.7285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 121, ["jmenovatel"] = 70 }, ["render"] = "\\frac{605}{350}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{51}{70}", ["x"] = 1, ["y"] = 51, ["z"] = 70 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{4\\frac{2}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "19 + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{19 + (-9)}{-7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{6}{4\\frac{2}{7}} - \\frac{19 + (-9)}{-7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{4\\frac{2}{7}} - \\frac{19 + (-9)}{-7} - 1\\frac{1}{10}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.69, bodu=85, $$\frac{-9 + \frac{4\frac{1}{5}}{-5}}{15 - \frac{7}{13}}=\textcolor{white}{-\frac{1599}{2350}}$$return { ["body"] = 85, ["id"] = "c1iejn_1019_0148", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -0.68042553191489, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1599, ["jmenovatel"] = 2350 }, ["render"] = "\\frac{-3198}{4700}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1599}{2350}", ["y"] = -1599, ["z"] = 2350 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{5}}{-5}", ["typ"] = "lomeno" }, ["render"] = "-9 + \\frac{4\\frac{1}{5}}{-5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{13}", ["typ"] = "lomeno" }, ["render"] = "15 - \\frac{7}{13}", ["typ"] = "minus" }, ["render"] = "\\frac{-9 + \\frac{4\\frac{1}{5}}{-5}}{15 - \\frac{7}{13}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.7, bodu=113, $$-11 \cdot -11 + 1\frac{2}{8} \cdot (-8 - 1\frac{2}{6}) - (-12)=\textcolor{white}{121\frac{1}{3}}$$return { ["body"] = 113, ["id"] = "N89AXU_1019_0148", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 121.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 364, ["jmenovatel"] = 3 }, ["render"] = "\\frac{364}{3}", ["typ"] = "cislo" }, ["tex"] = "121\\frac{1}{3}", ["x"] = 121, ["y"] = 1, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-8 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(-8 - 1\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6})", ["typ"] = "krat" }, ["render"] = "-11 \\cdot -11 + 1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -11 + 1\\frac{2}{8} \\cdot (-8 - 1\\frac{2}{6}) - (-12)", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.71, bodu=88, $$8 - \frac{\frac{-12}{-15 + 1\frac{1}{9} - 12}}{-9}=\textcolor{white}{8\frac{12}{233}}$$return { ["body"] = 88, ["id"] = "ZusybP_1019_0148", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = 8.0515021459227, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1876, ["jmenovatel"] = 233 }, ["render"] = "\\frac{1876}{233}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{12}{233}", ["x"] = 8, ["y"] = 12, ["z"] = 233 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.71", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "-15 + 1\\frac{1}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-15 + 1\\frac{1}{9} - 12", ["typ"] = "minus" }, ["render"] = "\\frac{-12}{-15 + 1\\frac{1}{9} - 12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-12}{-15 + 1\\frac{1}{9} - 12}}{-9}", ["typ"] = "lomeno" }, ["render"] = "8 - \\frac{\\frac{-12}{-15 + 1\\frac{1}{9} - 12}}{-9}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.72, bodu=110, $$2\frac{3}{7} + (-11) - (\frac{-15}{13})^2 - 11 - 15=\textcolor{white}{-35\frac{1068}{1183}}$$return { ["body"] = 110, ["id"] = "1fVMHI_1019_0148", ["obtiznost"] = 1.0776, ["reseni"] = { ["float"] = -35.902789518174, ["objekt"] = { ["hodnota"] = { ["citatel"] = -42473, ["jmenovatel"] = 1183 }, ["render"] = "\\frac{-42473}{1183}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{1068}{1183}", ["x"] = -35, ["y"] = 1068, ["z"] = 1183 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} + (-11)", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{13}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-15}{13})^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2 - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} + (-11) - (\\frac{-15}{13})^2 - 11 - 15", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.73, bodu=139, $$\frac{-14}{\frac{-10}{(11 - (-8))^2 \cdot (2\frac{4}{8} + 1\frac{2}{5})}}=\textcolor{white}{1971{,}06}$$return { ["body"] = 139, ["id"] = "jYeJ2X_1019_0148", ["obtiznost"] = 1.2748, ["reseni"] = { ["float"] = 1971.06, ["objekt"] = { ["hodnota"] = { ["citatel"] = 98553, ["jmenovatel"] = 50 }, ["render"] = "\\frac{-197106}{-100}", ["typ"] = "cislo" }, ["tex"] = "1971\\frac{3}{50}", ["tex_float"] = "1971{,}06", ["x"] = 1971, ["y"] = 3, ["z"] = 50 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "11 - (-8)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(11 - (-8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} + 1\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{8} + 1\\frac{2}{5})", ["typ"] = "zavorka" }, ["render"] = "(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-14}{\\frac{-10}{(11 - (-8))^2 \\cdot (2\\frac{4}{8} + 1\\frac{2}{5})}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.74, bodu=181, $$12 - 4\frac{3}{9} - 1\frac{3}{8} + 8 \cdot 1\frac{4}{9} - 1\frac{5}{7}=\textcolor{white}{16\frac{67}{504}}$$return { ["body"] = 181, ["id"] = "dEmRTP_1019_0148", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = 16.132936507937, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8131, ["jmenovatel"] = 504 }, ["render"] = "\\frac{24393}{1512}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{67}{504}", ["x"] = 16, ["y"] = 67, ["z"] = 504 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "12 - 4\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "12 - 4\\frac{3}{9} - 1\\frac{3}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 1\\frac{4}{9} - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "12 - 4\\frac{3}{9} - 1\\frac{3}{8} + 8 \\cdot 1\\frac{4}{9} - 1\\frac{5}{7}", ["typ"] = "plus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.75, bodu=165, $$\frac{(3\frac{3}{9} \cdot 4\frac{5}{10})^2}{\frac{14}{4\frac{2}{5}} \cdot 8}=\textcolor{white}{8\frac{47}{56}}$$return { ["body"] = 165, ["id"] = "8luJ6Z_1019_0148", ["obtiznost"] = 1.4404, ["reseni"] = { ["float"] = 8.8392857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 495, ["jmenovatel"] = 56 }, ["render"] = "\\frac{2475}{280}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{47}{56}", ["x"] = 8, ["y"] = 47, ["z"] = 56 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.75", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} \\cdot 4\\frac{5}{10}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{3}{9} \\cdot 4\\frac{5}{10})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4\\frac{2}{5}} \\cdot 8", ["typ"] = "krat" }, ["render"] = "\\frac{(3\\frac{3}{9} \\cdot 4\\frac{5}{10})^2}{\\frac{14}{4\\frac{2}{5}} \\cdot 8}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.76, bodu=185, $$\frac{1\frac{3}{5} - \frac{-10}{2\frac{1}{6}}}{4\frac{5}{13} \cdot 1\frac{5}{11}}=\textcolor{white}{\frac{1111}{1140}}$$return { ["body"] = 185, ["id"] = "t2kn1I_1019_0148", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 0.97456140350877, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1111, ["jmenovatel"] = 1140 }, ["render"] = "\\frac{57772}{59280}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1111}{1140}", ["y"] = 1111, ["z"] = 1140 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{3}{5} - \\frac{-10}{2\\frac{1}{6}}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{13} \\cdot 1\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{3}{5} - \\frac{-10}{2\\frac{1}{6}}}{4\\frac{5}{13} \\cdot 1\\frac{5}{11}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.77, bodu=187, $$3\frac{4}{10} + (-16) - (4\frac{2}{6} \cdot 1\frac{1}{5} - (-14 \cdot 4\frac{5}{8}))=\textcolor{white}{-82{,}55}$$return { ["body"] = 187, ["id"] = "QolLWD_1019_0148", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -82.55, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1651, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-8255}{100}", ["typ"] = "cislo" }, ["tex"] = "-82\\frac{11}{20}", ["tex_float"] = "-82{,}55", ["x"] = -82, ["y"] = 11, ["z"] = 20 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + (-16)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{5}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 4\\frac{5}{8}", ["typ"] = "krat" }, ["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8})", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8}))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{10} + (-16) - (4\\frac{2}{6} \\cdot 1\\frac{1}{5} - (-14 \\cdot 4\\frac{5}{8}))", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.78, bodu=125, $$12 \cdot (\frac{10}{-13 + 3\frac{4}{10}} + 4\frac{3}{11}) \cdot 18=\textcolor{white}{697\frac{10}{11}}$$return { ["body"] = 125, ["id"] = "skefo5_1019_0148", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = 697.90909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7677, ["jmenovatel"] = 11 }, ["render"] = "\\frac{15354}{22}", ["typ"] = "cislo" }, ["tex"] = "697\\frac{10}{11}", ["x"] = 697, ["y"] = 10, ["z"] = 11 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-13 + 3\\frac{4}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{10}{-13 + 3\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11})", ["typ"] = "zavorka" }, ["render"] = "12 \\cdot (\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "12 \\cdot (\\frac{10}{-13 + 3\\frac{4}{10}} + 4\\frac{3}{11}) \\cdot 18", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.79, bodu=36, $$((-12 - (-12))^4 \cdot 9 \cdot 20)^4 \cdot 15=\textcolor{white}{0}$$return { ["body"] = 36, ["id"] = "a3NiHk_1019_0148", ["obtiznost"] = 0.7908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.79", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-12 - (-12)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-12 - (-12))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 20", ["typ"] = "krat" }, ["render"] = "(-12 - (-12))^4 \\cdot 9 \\cdot 20", ["typ"] = "krat" }, ["mocnitel"] = 4, ["render"] = "((-12 - (-12))^4 \\cdot 9 \\cdot 20)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "((-12 - (-12))^4 \\cdot 9 \\cdot 20)^4 \\cdot 15", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.8, bodu=74, $$\frac{\frac{\frac{-13}{13} + 15}{\frac{18}{-9}}}{-9}=\textcolor{white}{\frac{7}{9}}$$return { ["body"] = 74, ["id"] = "3L5r0o_1019_0148", ["obtiznost"] = 0.8, ["reseni"] = { ["float"] = 0.77777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-7}{-9}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{9}", ["y"] = 7, ["z"] = 9 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{13} + 15", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-13}{13} + 15}{\\frac{18}{-9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{-13}{13} + 15}{\\frac{18}{-9}}}{-9}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.81, bodu=129, $$\frac{-16 + 17 \cdot 1\frac{5}{10}}{9 \cdot 2\frac{3}{10} \cdot -16}=\textcolor{white}{-\frac{95}{3312}}$$return { ["body"] = 129, ["id"] = "7OPlxU_1019_0148", ["obtiznost"] = 1.21, ["reseni"] = { ["float"] = -0.028683574879227, ["objekt"] = { ["hodnota"] = { ["citatel"] = -95, ["jmenovatel"] = 3312 }, ["render"] = "\\frac{95}{-3312}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{95}{3312}", ["y"] = -95, ["z"] = 3312 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "17 \\cdot 1\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "-16 + 17 \\cdot 1\\frac{5}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} \\cdot -16", ["typ"] = "krat" }, ["render"] = "9 \\cdot 2\\frac{3}{10} \\cdot -16", ["typ"] = "krat" }, ["render"] = "\\frac{-16 + 17 \\cdot 1\\frac{5}{10}}{9 \\cdot 2\\frac{3}{10} \\cdot -16}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.82, bodu=76, $$\frac{-13}{\frac{\frac{6}{-7 - (-11)}}{-11 + (-11)}}=\textcolor{white}{190\frac{2}{3}}$$return { ["body"] = 76, ["id"] = "Y9oQYD_1019_0148", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 190.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 572, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-572}{-3}", ["typ"] = "cislo" }, ["tex"] = "190\\frac{2}{3}", ["x"] = 190, ["y"] = 2, ["z"] = 3 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.82", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-7 - (-11)", ["typ"] = "minus" }, ["render"] = "\\frac{6}{-7 - (-11)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-11 + (-11)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{6}{-7 - (-11)}}{-11 + (-11)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{\\frac{\\frac{6}{-7 - (-11)}}{-11 + (-11)}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.83, bodu=132, $$\frac{(2\frac{1}{6} - 4\frac{5}{7}) \cdot -12}{\frac{13 - 6}{22}}=\textcolor{white}{96\frac{4}{49}}$$return { ["body"] = 132, ["id"] = "S7KymU_1019_0148", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 96.081632653061, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4708, ["jmenovatel"] = 49 }, ["render"] = "\\frac{4708}{49}", ["typ"] = "cislo" }, ["tex"] = "96\\frac{4}{49}", ["x"] = 96, ["y"] = 4, ["z"] = 49 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 4\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(2\\frac{1}{6} - 4\\frac{5}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(2\\frac{1}{6} - 4\\frac{5}{7}) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "13 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "\\frac{13 - 6}{22}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(2\\frac{1}{6} - 4\\frac{5}{7}) \\cdot -12}{\\frac{13 - 6}{22}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.84, bodu=146, $$((\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \cdot 2\frac{2}{11}) \cdot -11=\textcolor{white}{5181\frac{309}{400}}$$return { ["body"] = 146, ["id"] = "XKxAZB_1019_0148", ["obtiznost"] = 1.3192, ["reseni"] = { ["float"] = 5181.7725, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2072709, ["jmenovatel"] = 400 }, ["render"] = "\\frac{22799799}{4400}", ["typ"] = "cislo" }, ["tex"] = "5181\\frac{309}{400}", ["x"] = 5181, ["y"] = 309, ["z"] = 400 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.84", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-20}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-9}{-20})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-12 + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-12 + 13 - 7", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-12 + 13 - 7)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "(-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}", ["typ"] = "krat" }, ["render"] = "(\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}", ["typ"] = "plus" }, ["render"] = "((\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "((\\frac{-9}{-20})^2 + (-12 + 13 - 7)^3 \\cdot 2\\frac{2}{11}) \\cdot -11", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.85, bodu=167, $$\frac{2\frac{4}{5}}{-18 + 4\frac{1}{7} \cdot -21 - 10 \cdot 2\frac{4}{7}}=\textcolor{white}{-\frac{98}{4575}}$$return { ["body"] = 167, ["id"] = "TlRhhA_1019_0148", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = -0.021420765027322, ["objekt"] = { ["hodnota"] = { ["citatel"] = -98, ["jmenovatel"] = 4575 }, ["render"] = "\\frac{98}{-4575}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{98}{4575}", ["y"] = -98, ["z"] = 4575 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.85", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{7} \\cdot -21", ["typ"] = "krat" }, ["render"] = "-18 + 4\\frac{1}{7} \\cdot -21", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 2\\frac{4}{7}", ["typ"] = "krat" }, ["render"] = "-18 + 4\\frac{1}{7} \\cdot -21 - 10 \\cdot 2\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{4}{5}}{-18 + 4\\frac{1}{7} \\cdot -21 - 10 \\cdot 2\\frac{4}{7}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.86, bodu=168, $$(15 - 1\frac{2}{8} \cdot (12 - 3\frac{2}{9})) \cdot (-11 + (-13 - 2\frac{3}{9}))=\textcolor{white}{-106\frac{7}{108}}$$return { ["body"] = 168, ["id"] = "fBwWLd_1019_0148", ["obtiznost"] = 1.46, ["reseni"] = { ["float"] = -106.06481481481, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11455, ["jmenovatel"] = 108 }, ["render"] = "\\frac{-11455}{108}", ["typ"] = "cislo" }, ["tex"] = "-106\\frac{7}{108}", ["x"] = -106, ["y"] = 7, ["z"] = 108 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.86", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "12 - 3\\frac{2}{9}", ["typ"] = "minus" }, ["render"] = "(12 - 3\\frac{2}{9})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})", ["typ"] = "krat" }, ["render"] = "15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})", ["typ"] = "minus" }, ["render"] = "(15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9}))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-13 - 2\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "-11 + (-13 - 2\\frac{3}{9})", ["typ"] = "plus" }, ["render"] = "(-11 + (-13 - 2\\frac{3}{9}))", ["typ"] = "zavorka" }, ["render"] = "(15 - 1\\frac{2}{8} \\cdot (12 - 3\\frac{2}{9})) \\cdot (-11 + (-13 - 2\\frac{3}{9}))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.87, bodu=170, $$6 \cdot \frac{-21}{\frac{2\frac{4}{9}}{3\frac{2}{7}}} \cdot 2\frac{1}{9}=\textcolor{white}{-357\frac{6}{11}}$$return { ["body"] = 170, ["id"] = "mL59Qc_1019_0148", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = -357.54545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3933, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-7866}{22}", ["typ"] = "cislo" }, ["tex"] = "-357\\frac{6}{11}", ["x"] = -357, ["y"] = 6, ["z"] = 11 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}} \\cdot 2\\frac{1}{9}", ["typ"] = "krat" }, ["render"] = "6 \\cdot \\frac{-21}{\\frac{2\\frac{4}{9}}{3\\frac{2}{7}}} \\cdot 2\\frac{1}{9}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.88, bodu=140, $$\frac{\frac{3\frac{1}{4}}{-7 \cdot 1\frac{5}{10}} - (-11 \cdot -13)}{22}=\textcolor{white}{-6\frac{475}{924}}$$return { ["body"] = 140, ["id"] = "yunxjC_1019_0148", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = -6.5140692640693, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6019, ["jmenovatel"] = 924 }, ["render"] = "\\frac{-6019}{924}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{475}{924}", ["x"] = -6, ["y"] = 475, ["z"] = 924 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 1\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -13", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}} - (-11 \\cdot -13)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{1}{4}}{-7 \\cdot 1\\frac{5}{10}} - (-11 \\cdot -13)}{22}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.89, bodu=95, $$\frac{9}{(\frac{-13}{5})^2 - (-16)} - \frac{-15}{13}=\textcolor{white}{1\frac{4063}{7397}}$$return { ["body"] = 95, ["id"] = "PxkLTu_1019_0148", ["obtiznost"] = 0.9676, ["reseni"] = { ["float"] = 1.549276733811, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11460, ["jmenovatel"] = 7397 }, ["render"] = "\\frac{11460}{7397}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{4063}{7397}", ["x"] = 1, ["y"] = 4063, ["z"] = 7397 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-13}{5})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(\\frac{-13}{5})^2 - (-16)", ["typ"] = "minus" }, ["render"] = "\\frac{9}{(\\frac{-13}{5})^2 - (-16)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{9}{(\\frac{-13}{5})^2 - (-16)} - \\frac{-15}{13}", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.9, bodu=143, $$(1\frac{3}{10} + (-7) + 1\frac{2}{10} - (-11)) \cdot -12 \cdot (-20 - (-10))=\textcolor{white}{780}$$return { ["body"] = 143, ["id"] = "93g8gi_1019_0148", ["obtiznost"] = 1.3, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 780, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1560}{2}", ["typ"] = "cislo" }, ["tex"] = "780", ["tex_float"] = "780", ["x"] = 780 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.9", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{10} + (-7)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{10} - (-11)", ["typ"] = "minus" }, ["render"] = "1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11)", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["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"] = "minus" }, ["render"] = "(-20 - (-10))", ["typ"] = "zavorka" }, ["render"] = "-12 \\cdot (-20 - (-10))", ["typ"] = "krat" }, ["render"] = "(1\\frac{3}{10} + (-7) + 1\\frac{2}{10} - (-11)) \\cdot -12 \\cdot (-20 - (-10))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.91, bodu=157, $$\frac{(\frac{4}{2\frac{2}{5}})^4}{-9} \cdot 13 \cdot (18 - (-15))=\textcolor{white}{-367\frac{194}{243}}$$return { ["body"] = 157, ["id"] = "XF42Yf_1019_0148", ["obtiznost"] = 1.3924, ["reseni"] = { ["float"] = -367.79835390946, ["objekt"] = { ["hodnota"] = { ["citatel"] = -89375, ["jmenovatel"] = 243 }, ["render"] = "\\frac{-268125}{729}", ["typ"] = "cislo" }, ["tex"] = "-367\\frac{194}{243}", ["x"] = -367, ["y"] = 194, ["z"] = 243 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{2\\frac{2}{5}}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{4}{2\\frac{2}{5}})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9} \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "18 - (-15)", ["typ"] = "minus" }, ["render"] = "(18 - (-15))", ["typ"] = "zavorka" }, ["render"] = "\\frac{(\\frac{4}{2\\frac{2}{5}})^4}{-9} \\cdot 13 \\cdot (18 - (-15))", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.92, bodu=221, $$\frac{\frac{9 \cdot 15}{(4\frac{1}{9} - 3\frac{1}{6})^2}}{-21 \cdot 2\frac{2}{7}}=\textcolor{white}{-3\frac{177}{1156}}$$return { ["body"] = 221, ["id"] = "7l9aJX_1019_0148", ["obtiznost"] = 1.7652, ["reseni"] = { ["float"] = -3.1531141868512, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3645, ["jmenovatel"] = 1156 }, ["render"] = "\\frac{43740}{-13872}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{177}{1156}", ["x"] = -3, ["y"] = 177, ["z"] = 1156 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{9} - 3\\frac{1}{6}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{1}{9} - 3\\frac{1}{6})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{9 \\cdot 15}{(4\\frac{1}{9} - 3\\frac{1}{6})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "-21 \\cdot 2\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{9 \\cdot 15}{(4\\frac{1}{9} - 3\\frac{1}{6})^2}}{-21 \\cdot 2\\frac{2}{7}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.93, bodu=180, $$\frac{2\frac{1}{10}}{11} \cdot -17 \cdot 3\frac{1}{5} \cdot 4\frac{4}{8}=\textcolor{white}{-46\frac{202}{275}}$$return { ["body"] = 180, ["id"] = "7q4RKY_1019_0148", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = -46.734545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12852, ["jmenovatel"] = 275 }, ["render"] = "\\frac{-25704}{550}", ["typ"] = "cislo" }, ["tex"] = "-46\\frac{202}{275}", ["x"] = -46, ["y"] = 202, ["z"] = 275 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{10}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "-17 \\cdot 3\\frac{1}{5} \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{1}{10}}{11} \\cdot -17 \\cdot 3\\frac{1}{5} \\cdot 4\\frac{4}{8}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.94, bodu=149, $$\frac{\frac{-11 - (-16 + (-14))}{4\frac{4}{13}} \cdot -7}{4\frac{4}{11}}=\textcolor{white}{-7\frac{29}{384}}$$return { ["body"] = 149, ["id"] = "HLJxtp_1019_0148", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = -7.0755208333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2717, ["jmenovatel"] = 384 }, ["render"] = "\\frac{-2717}{384}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{29}{384}", ["x"] = -7, ["y"] = 29, ["z"] = 384 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-16 + (-14)", ["typ"] = "plus" }, ["render"] = "(-16 + (-14))", ["typ"] = "zavorka" }, ["render"] = "-11 - (-16 + (-14))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 56, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}} \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-11 - (-16 + (-14))}{4\\frac{4}{13}} \\cdot -7}{4\\frac{4}{11}}", ["typ"] = "lomeno" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.95, bodu=218, $$-16 - (4\frac{5}{11} + 1\frac{2}{8} \cdot 1\frac{2}{7} \cdot (-15 - 1\frac{2}{12}))=\textcolor{white}{5\frac{325}{616}}$$return { ["body"] = 218, ["id"] = "IMCZl9_1019_0148", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 5.5275974025974, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3405, ["jmenovatel"] = 616 }, ["render"] = "\\frac{3405}{616}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{325}{616}", ["x"] = 5, ["y"] = 325, ["z"] = 616 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.95", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} \\cdot 1\\frac{2}{7}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{2}{12}", ["typ"] = "cislo" }, ["render"] = "-15 - 1\\frac{2}{12}", ["typ"] = "minus" }, ["render"] = "(-15 - 1\\frac{2}{12})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12})", ["typ"] = "krat" }, ["render"] = "4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12})", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12}))", ["typ"] = "zavorka" }, ["render"] = "-16 - (4\\frac{5}{11} + 1\\frac{2}{8} \\cdot 1\\frac{2}{7} \\cdot (-15 - 1\\frac{2}{12}))", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.96, bodu=185, $$1\frac{5}{10} + 23 + (-5) - (10 - \frac{2\frac{4}{10}}{2\frac{1}{7} + (-7)})=\textcolor{white}{9\frac{1}{170}}$$return { ["body"] = 185, ["id"] = "G2cXdM_1019_0148", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 9.0058823529412, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1531, ["jmenovatel"] = 170 }, ["render"] = "\\frac{1531}{170}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{1}{170}", ["x"] = 9, ["y"] = 1, ["z"] = 170 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "23 + (-5)", ["typ"] = "plus" }, ["render"] = "1\\frac{5}{10} + 23 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{7} + (-7)", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)}", ["typ"] = "lomeno" }, ["render"] = "10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)}", ["typ"] = "minus" }, ["render"] = "(10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{10} + 23 + (-5) - (10 - \\frac{2\\frac{4}{10}}{2\\frac{1}{7} + (-7)})", ["typ"] = "minus" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.97, bodu=258, $$(\frac{4\frac{2}{10}}{-14} - \frac{2\frac{4}{11}}{4\frac{5}{13}}) \cdot \frac{2\frac{4}{13}}{4\frac{2}{6}}=\textcolor{white}{-\frac{15783}{35321}}$$return { ["body"] = 258, ["id"] = "sAhDNv_1019_0148", ["obtiznost"] = 1.97, ["reseni"] = { ["float"] = -0.44684465332239, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15783, ["jmenovatel"] = 35321 }, ["render"] = "\\frac{-473490}{1059630}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{15783}{35321}", ["y"] = -15783, ["z"] = 35321 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.97", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{10}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{11}}{4\\frac{5}{13}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}}", ["typ"] = "minus" }, ["render"] = "(\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{13}}{4\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{4\\frac{2}{10}}{-14} - \\frac{2\\frac{4}{11}}{4\\frac{5}{13}}) \\cdot \\frac{2\\frac{4}{13}}{4\\frac{2}{6}}", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.98, bodu=298, $$((13 + (-16))^3 + 3\frac{4}{7} + 3\frac{5}{10} + (3\frac{3}{4} - 9)^2) \cdot (1\frac{1}{5} + 4\frac{3}{11})=\textcolor{white}{41\frac{137}{176}}$$return { ["body"] = 298, ["id"] = "BLcofh_1019_0148", ["obtiznost"] = 2.174, ["reseni"] = { ["float"] = 41.778409090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7353, ["jmenovatel"] = 176 }, ["render"] = "\\frac{257355}{6160}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{137}{176}", ["x"] = 41, ["y"] = 137, ["z"] = 176 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.98", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "13 + (-16)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(13 + (-16))^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{4} - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{3}{4} - 9)^2", ["typ"] = "mocnina" }, ["render"] = "3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2", ["typ"] = "plus" }, ["render"] = "(13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2", ["typ"] = "plus" }, ["render"] = "((13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} + 4\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{5} + 4\\frac{3}{11})", ["typ"] = "zavorka" }, ["render"] = "((13 + (-16))^3 + 3\\frac{4}{7} + 3\\frac{5}{10} + (3\\frac{3}{4} - 9)^2) \\cdot (1\\frac{1}{5} + 4\\frac{3}{11})", ["typ"] = "krat" } }

seed: 9XgNHY9CrdZnZbunL7Fp_0.99, bodu=190, $$-15 - 1\frac{5}{9} \cdot (3\frac{1}{8} - (-5)) \cdot 2\frac{3}{7} \cdot -17=\textcolor{white}{506\frac{29}{36}}$$return { ["body"] = 190, ["id"] = "EPFvUp_1019_0148", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = 506.80555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18245, ["jmenovatel"] = 36 }, ["render"] = "\\frac{18245}{36}", ["typ"] = "cislo" }, ["tex"] = "506\\frac{29}{36}", ["x"] = 506, ["y"] = 29, ["z"] = 36 }, ["seed"] = "9XgNHY9CrdZnZbunL7Fp_0.99", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} - (-5)", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{8} - (-5))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7}", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7} \\cdot -17", ["typ"] = "krat" }, ["render"] = "-15 - 1\\frac{5}{9} \\cdot (3\\frac{1}{8} - (-5)) \\cdot 2\\frac{3}{7} \\cdot -17", ["typ"] = "minus" } }

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