- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: lWcNN2U78PfZtAg0XrwN_0, bodu=10, $$(\frac{4}{\frac{8}{6}})^3=\textcolor{white}{27}$$return {
["body"] = 10,
["id"] = "wyVlsb_0714_0104",
["obtiznost"] = 0.0112,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 1 },
["render"] = "\\frac{27}{1}",
["typ"] = "cislo" },
["tex"] = "27",
["x"] = 27 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{8}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{\\frac{8}{6}})^3",
["typ"] = "mocnina" } }
seed: lWcNN2U78PfZtAg0XrwN_0.01, bodu=5, $$7 + 3 - 9 \cdot -9=\textcolor{white}{91}$$return {
["body"] = 5,
["id"] = "HPRvlQ_0714_0104",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 1 },
["render"] = "\\frac{91}{1}",
["typ"] = "cislo" },
["tex"] = "91",
["x"] = 91 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "7 + 3 - 9 \\cdot -9",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.02, bodu=10, $$(\frac{9}{-8} + 5) \cdot 9=\textcolor{white}{34{,}875}$$return {
["body"] = 10,
["id"] = "gZxoTE_0714_0104",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 34.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 279,
["jmenovatel"] = 8 },
["render"] = "\\frac{279}{8}",
["typ"] = "cislo" },
["tex"] = "34\\frac{7}{8}",
["tex_float"] = "34{,}875",
["x"] = 34,
["y"] = 7,
["z"] = 8 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-8} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{9}{-8} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-8} + 5) \\cdot 9",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.03, bodu=10, $$\frac{8}{6} - (4 + (-4))=\textcolor{white}{1\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "f6ryJ8_0714_0104",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 1.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "\\frac{4}{3}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{3}",
["x"] = 1,
["y"] = 1,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4 + (-4)",
["typ"] = "plus" },
["render"] = "(4 + (-4))",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{6} - (4 + (-4))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.04, bodu=13, $$\frac{-2}{6 - 6 + (7 + 6)^2}=\textcolor{white}{-\frac{2}{169}}$$return {
["body"] = 13,
["id"] = "hZXDFy_0714_0104",
["obtiznost"] = 0.108,
["reseni"] = {
["float"] = -0.011834319526627,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 169 },
["render"] = "\\frac{-2}{169}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{169}",
["y"] = -2,
["z"] = 169 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 6)^2",
["typ"] = "mocnina" },
["render"] = "6 - 6 + (7 + 6)^2",
["typ"] = "plus" },
["render"] = "\\frac{-2}{6 - 6 + (7 + 6)^2}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.05, bodu=11, $$\frac{\frac{7}{4} - 5}{4}=\textcolor{white}{-\frac{13}{16}}$$return {
["body"] = 11,
["id"] = "med3ES_0714_0104",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -0.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 16 },
["render"] = "\\frac{-13}{16}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{16}",
["y"] = -13,
["z"] = 16 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{4} - 5}{4}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.06, bodu=5, $$(8 - 6) \cdot (7 - 7)^4=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "8uxXec_0714_0104",
["obtiznost"] = 0.0604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["render"] = "(8 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 7)^4",
["typ"] = "mocnina" },
["render"] = "(8 - 6) \\cdot (7 - 7)^4",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.07, bodu=11, $$\frac{\frac{3}{6}}{7}=\textcolor{white}{\frac{1}{14}}$$return {
["body"] = 11,
["id"] = "CdCw8E_0714_0104",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.071428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 14 },
["render"] = "\\frac{1}{14}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{14}",
["y"] = 1,
["z"] = 14 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3}{6}}{7}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.08, bodu=6, $$7 \cdot 11 \cdot 6=\textcolor{white}{462}$$return {
["body"] = 6,
["id"] = "Zoiy1J_0714_0104",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 462,
["jmenovatel"] = 1 },
["render"] = "\\frac{462}{1}",
["typ"] = "cislo" },
["tex"] = "462",
["tex_float"] = "462",
["x"] = 462 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6",
["typ"] = "krat" },
["render"] = "7 \\cdot 11 \\cdot 6",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.09, bodu=38, $$(\frac{-6}{7} \cdot 3\frac{1}{3})^2=\textcolor{white}{8\frac{8}{49}}$$return {
["body"] = 38,
["id"] = "A4OaAG_0714_0104",
["obtiznost"] = 0.4696,
["reseni"] = {
["float"] = 8.1632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 49 },
["render"] = "\\frac{400}{49}",
["typ"] = "cislo" },
["tex"] = "8\\frac{8}{49}",
["x"] = 8,
["y"] = 8,
["z"] = 49 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.09",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{7} \\cdot 3\\frac{1}{3}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{7} \\cdot 3\\frac{1}{3})^2",
["typ"] = "mocnina" } }
seed: lWcNN2U78PfZtAg0XrwN_0.1, bodu=24, $$\frac{\frac{-10}{2\frac{1}{3}} + 6}{11}=\textcolor{white}{\frac{12}{77}}$$return {
["body"] = 24,
["id"] = "LGA7r3_0714_0104",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 0.15584415584416,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 77 },
["render"] = "\\frac{12}{77}",
["typ"] = "cislo" },
["tex"] = "\\frac{12}{77}",
["y"] = 12,
["z"] = 77 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{3}} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{2\\frac{1}{3}} + 6}{11}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.11, bodu=25, $$(6 - 9 \cdot 2\frac{4}{8}) \cdot 10=\textcolor{white}{-165}$$return {
["body"] = 25,
["id"] = "Q7T2ll_0714_0104",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 1 },
["render"] = "\\frac{-330}{2}",
["typ"] = "cislo" },
["tex"] = "-165",
["x"] = -165 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.11",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 2\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "6 - 9 \\cdot 2\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(6 - 9 \\cdot 2\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(6 - 9 \\cdot 2\\frac{4}{8}) \\cdot 10",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.12, bodu=26, $$\frac{-11}{-6} \cdot (1\frac{5}{9} - 10)=\textcolor{white}{-15\frac{13}{27}}$$return {
["body"] = 26,
["id"] = "XMc2Yq_0714_0104",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -15.481481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -418,
["jmenovatel"] = 27 },
["render"] = "\\frac{-836}{54}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{13}{27}",
["x"] = -15,
["y"] = 13,
["z"] = 27 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 10",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{9} - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{-6} \\cdot (1\\frac{5}{9} - 10)",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.13, bodu=7, $$2 \cdot 5 \cdot 10=\textcolor{white}{100}$$return {
["body"] = 7,
["id"] = "4Df16m_0714_0104",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 1 },
["render"] = "\\frac{100}{1}",
["typ"] = "cislo" },
["tex"] = "100",
["x"] = 100 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 \\cdot 10",
["typ"] = "krat" },
["render"] = "2 \\cdot 5 \\cdot 10",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.14, bodu=14, $$\frac{7}{3} \cdot 4=\textcolor{white}{9\frac{1}{3}}$$return {
["body"] = 14,
["id"] = "iDbZtX_0714_0104",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 9.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 3 },
["render"] = "\\frac{28}{3}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{3}",
["x"] = 9,
["y"] = 1,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{7}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{3} \\cdot 4",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.15, bodu=28, $$(9 + 2\frac{3}{6}) \cdot \frac{-7}{13}=\textcolor{white}{-6\frac{5}{26}}$$return {
["body"] = 28,
["id"] = "Y3Fawn_0714_0104",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -6.1923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -161,
["jmenovatel"] = 26 },
["render"] = "\\frac{-161}{26}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{5}{26}",
["x"] = -6,
["y"] = 5,
["z"] = 26 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["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"] = "(9 + 2\\frac{3}{6}) \\cdot \\frac{-7}{13}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.16, bodu=15, $$\frac{-6}{5 + \frac{6}{9}}=\textcolor{white}{-1\frac{1}{17}}$$return {
["body"] = 15,
["id"] = "70wnmr_0714_0104",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -1.0588235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 17 },
["render"] = "\\frac{-18}{17}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{17}",
["x"] = -1,
["y"] = 1,
["z"] = 17 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{6}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-6}{5 + \\frac{6}{9}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.17, bodu=8, $$9 \cdot 9 \cdot 12=\textcolor{white}{972}$$return {
["body"] = 8,
["id"] = "giIc1G_0714_0104",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 972,
["jmenovatel"] = 1 },
["render"] = "\\frac{972}{1}",
["typ"] = "cislo" },
["tex"] = "972",
["tex_float"] = "972",
["x"] = 972 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.17",
["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"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9 \\cdot 12",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.18, bodu=31, $$-9 - 12 + \frac{10}{1\frac{4}{8}}=\textcolor{white}{-14\frac{1}{3}}$$return {
["body"] = 31,
["id"] = "rOJamE_0714_0104",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -14.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 3 },
["render"] = "\\frac{-43}{3}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{1}{3}",
["x"] = -14,
["y"] = 1,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "-9 - 12 + \\frac{10}{1\\frac{4}{8}}",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.19, bodu=10, $$6 - (-8) + (7 + 6)^2 - 8=\textcolor{white}{175}$$return {
["body"] = 10,
["id"] = "V4G699_0714_0104",
["obtiznost"] = 0.258,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 1 },
["render"] = "\\frac{175}{1}",
["typ"] = "cislo" },
["tex"] = "175",
["tex_float"] = "175",
["x"] = 175 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 6)^2",
["typ"] = "mocnina" },
["render"] = "6 - (-8) + (7 + 6)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - (-8) + (7 + 6)^2 - 8",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.2, bodu=32, $$\frac{6 \cdot -6}{3\frac{4}{10} - 12}=\textcolor{white}{4\frac{8}{43}}$$return {
["body"] = 32,
["id"] = "0xq9Tn_0714_0104",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 4.1860465116279,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 43 },
["render"] = "\\frac{-180}{-43}",
["typ"] = "cislo" },
["tex"] = "4\\frac{8}{43}",
["x"] = 4,
["y"] = 8,
["z"] = 43 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 12",
["typ"] = "minus" },
["render"] = "\\frac{6 \\cdot -6}{3\\frac{4}{10} - 12}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.21, bodu=33, $$7 \cdot (4\frac{5}{8} \cdot 12 - (-9))=\textcolor{white}{451{,}5}$$return {
["body"] = 33,
["id"] = "8Zn9l2_0714_0104",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 451.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 903,
["jmenovatel"] = 2 },
["render"] = "\\frac{903}{2}",
["typ"] = "cislo" },
["tex"] = "451\\frac{1}{2}",
["tex_float"] = "451{,}5",
["x"] = 451,
["y"] = 1,
["z"] = 2 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot 12 - (-9)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{8} \\cdot 12 - (-9))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (4\\frac{5}{8} \\cdot 12 - (-9))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.22, bodu=34, $$(7 - 3\frac{1}{5}) \cdot \frac{-8}{-7}=\textcolor{white}{4\frac{12}{35}}$$return {
["body"] = 34,
["id"] = "kCX9SS_0714_0104",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 4.3428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 152,
["jmenovatel"] = 35 },
["render"] = "\\frac{152}{35}",
["typ"] = "cislo" },
["tex"] = "4\\frac{12}{35}",
["x"] = 4,
["y"] = 12,
["z"] = 35 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(7 - 3\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-7}",
["typ"] = "lomeno" },
["render"] = "(7 - 3\\frac{1}{5}) \\cdot \\frac{-8}{-7}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.23, bodu=19, $$6 \cdot 6 \cdot \frac{-4}{6}=\textcolor{white}{-24}$$return {
["body"] = 19,
["id"] = "CLvnwp_0714_0104",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "\\frac{-72}{3}",
["typ"] = "cislo" },
["tex"] = "-24",
["tex_float"] = "-24",
["x"] = -24 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "6 \\cdot 6 \\cdot \\frac{-4}{6}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.24, bodu=21, $$\frac{\frac{7}{8}}{(\frac{9}{-6})^3}=\textcolor{white}{-\frac{7}{27}}$$return {
["body"] = 21,
["id"] = "kBUfdP_0714_0104",
["obtiznost"] = 0.254,
["reseni"] = {
["float"] = -0.25925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 27 },
["render"] = "\\frac{56}{-216}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{27}",
["y"] = -7,
["z"] = 27 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{-6})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{7}{8}}{(\\frac{9}{-6})^3}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.25, bodu=10, $$-3 - 6 \cdot 12 \cdot 6=\textcolor{white}{-435}$$return {
["body"] = 10,
["id"] = "8aJT0v_0714_0104",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -435,
["jmenovatel"] = 1 },
["render"] = "\\frac{-435}{1}",
["typ"] = "cislo" },
["tex"] = "-435",
["x"] = -435 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 12 \\cdot 6",
["typ"] = "krat" },
["render"] = "-3 - 6 \\cdot 12 \\cdot 6",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.26, bodu=38, $$\frac{8}{5 \cdot 7 \cdot 3\frac{3}{6}}=\textcolor{white}{\frac{16}{245}}$$return {
["body"] = 38,
["id"] = "ljmaEF_0714_0104",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 0.06530612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 245 },
["render"] = "\\frac{16}{245}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{245}",
["y"] = 16,
["z"] = 245 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "5 \\cdot 7 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "\\frac{8}{5 \\cdot 7 \\cdot 3\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.27, bodu=59, $$1\frac{5}{9} + 10 - (11 + 9) - 4\frac{5}{8}=\textcolor{white}{-13\frac{5}{72}}$$return {
["body"] = 59,
["id"] = "3A3bF8_0714_0104",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -13.069444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -941,
["jmenovatel"] = 72 },
["render"] = "\\frac{-941}{72}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{5}{72}",
["x"] = -13,
["y"] = 5,
["z"] = 72 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 10",
["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"] = "1\\frac{5}{9} + 10 - (11 + 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 10 - (11 + 9) - 4\\frac{5}{8}",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.28, bodu=44, $$(\frac{11}{-8 + 10})^2 \cdot (8 - 4\frac{2}{4})=\textcolor{white}{105{,}875}$$return {
["body"] = 44,
["id"] = "zy4o1F_0714_0104",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 105.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 847,
["jmenovatel"] = 8 },
["render"] = "\\frac{847}{8}",
["typ"] = "cislo" },
["tex"] = "105\\frac{7}{8}",
["tex_float"] = "105{,}875",
["x"] = 105,
["y"] = 7,
["z"] = 8 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 + 10",
["typ"] = "plus" },
["render"] = "\\frac{11}{-8 + 10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{-8 + 10})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(8 - 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "(\\frac{11}{-8 + 10})^2 \\cdot (8 - 4\\frac{2}{4})",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.29, bodu=80, $$(3\frac{5}{8} - 11 - (-9 - 10 + 8))^2=\textcolor{white}{13\frac{9}{64}}$$return {
["body"] = 80,
["id"] = "OLmYHL_0714_0104",
["obtiznost"] = 0.852,
["reseni"] = {
["float"] = 13.140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 841,
["jmenovatel"] = 64 },
["render"] = "\\frac{841}{64}",
["typ"] = "cislo" },
["tex"] = "13\\frac{9}{64}",
["x"] = 13,
["y"] = 9,
["z"] = 64 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.29",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - 11",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 - 10 + 8",
["typ"] = "plus" },
["render"] = "(-9 - 10 + 8)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} - 11 - (-9 - 10 + 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{5}{8} - 11 - (-9 - 10 + 8))^2",
["typ"] = "mocnina" } }
seed: lWcNN2U78PfZtAg0XrwN_0.3, bodu=62, $$1\frac{4}{5} \cdot 1\frac{5}{7} \cdot 10 + 13=\textcolor{white}{43\frac{6}{7}}$$return {
["body"] = 62,
["id"] = "josuwE_0714_0104",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 43.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 7 },
["render"] = "\\frac{307}{7}",
["typ"] = "cislo" },
["tex"] = "43\\frac{6}{7}",
["x"] = 43,
["y"] = 6,
["z"] = 7 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} \\cdot 10",
["typ"] = "krat" },
["render"] = "1\\frac{4}{5} \\cdot 1\\frac{5}{7} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} \\cdot 1\\frac{5}{7} \\cdot 10 + 13",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.31, bodu=25, $$\frac{-9}{\frac{\frac{12}{10}}{-4}}=\textcolor{white}{30}$$return {
["body"] = 25,
["id"] = "kye24U_0714_0104",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{-3}",
["typ"] = "cislo" },
["tex"] = "30",
["tex_float"] = "30",
["x"] = 30 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{10}}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{\\frac{12}{10}}{-4}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.32, bodu=26, $$\frac{-12}{-11 \cdot (-15 + (-15)) + 13}=\textcolor{white}{-\frac{12}{343}}$$return {
["body"] = 26,
["id"] = "gwvLwn_0714_0104",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.034985422740525,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 343 },
["render"] = "\\frac{-12}{343}",
["typ"] = "cislo" },
["tex"] = "-\\frac{12}{343}",
["y"] = -12,
["z"] = 343 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-15 + (-15)",
["typ"] = "plus" },
["render"] = "(-15 + (-15))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (-15 + (-15))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot (-15 + (-15)) + 13",
["typ"] = "plus" },
["render"] = "\\frac{-12}{-11 \\cdot (-15 + (-15)) + 13}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.33, bodu=44, $$13 + \frac{3\frac{2}{3} + 8 + 11}{4}=\textcolor{white}{18\frac{2}{3}}$$return {
["body"] = 44,
["id"] = "WvzONh_0714_0104",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 18.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 3 },
["render"] = "\\frac{56}{3}",
["typ"] = "cislo" },
["tex"] = "18\\frac{2}{3}",
["x"] = 18,
["y"] = 2,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + 8 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{3} + 8 + 11}{4}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{3\\frac{2}{3} + 8 + 11}{4}",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.34, bodu=13, $$-9 \cdot (6 + (-9 \cdot -7 - (-8)))=\textcolor{white}{-693}$$return {
["body"] = 13,
["id"] = "3Zcl8m_0714_0104",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -693,
["jmenovatel"] = 1 },
["render"] = "\\frac{-693}{1}",
["typ"] = "cislo" },
["tex"] = "-693",
["x"] = -693 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -7 - (-8)",
["typ"] = "minus" },
["render"] = "6 + (-9 \\cdot -7 - (-8))",
["typ"] = "plus" },
["render"] = "(6 + (-9 \\cdot -7 - (-8)))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (6 + (-9 \\cdot -7 - (-8)))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.35, bodu=46, $$\frac{13}{15 \cdot 1\frac{1}{4} \cdot 10}=\textcolor{white}{\frac{26}{375}}$$return {
["body"] = 46,
["id"] = "m2uOAF_0714_0104",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.069333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 375 },
["render"] = "\\frac{26}{375}",
["typ"] = "cislo" },
["tex"] = "\\frac{26}{375}",
["y"] = 26,
["z"] = 375 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{1}{4} \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{13}{15 \\cdot 1\\frac{1}{4} \\cdot 10}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.36, bodu=82, $$\frac{(3 - 7)^4 + 11}{1\frac{2}{7} + 4\frac{1}{6}}=\textcolor{white}{48\frac{222}{229}}$$return {
["body"] = 82,
["id"] = "xWzcNo_0714_0104",
["obtiznost"] = 0.8628,
["reseni"] = {
["float"] = 48.96943231441,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11214,
["jmenovatel"] = 229 },
["render"] = "\\frac{11214}{229}",
["typ"] = "cislo" },
["tex"] = "48\\frac{222}{229}",
["x"] = 48,
["y"] = 222,
["z"] = 229 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(3 - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(3 - 7)^4 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 4\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{(3 - 7)^4 + 11}{1\\frac{2}{7} + 4\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.37, bodu=74, $$\frac{(10 + (-7))^4 \cdot 2\frac{5}{9} - 10}{2\frac{3}{5}}=\textcolor{white}{75\frac{10}{13}}$$return {
["body"] = 74,
["id"] = "Fzz8aR_0714_0104",
["obtiznost"] = 0.8028,
["reseni"] = {
["float"] = 75.769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 985,
["jmenovatel"] = 13 },
["render"] = "\\frac{985}{13}",
["typ"] = "cislo" },
["tex"] = "75\\frac{10}{13}",
["x"] = 75,
["y"] = 10,
["z"] = 13 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-7))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(10 + (-7))^4 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(10 + (-7))^4 \\cdot 2\\frac{5}{9} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{(10 + (-7))^4 \\cdot 2\\frac{5}{9} - 10}{2\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.38, bodu=49, $$\frac{-4}{5} \cdot \frac{8}{3\frac{2}{4}}=\textcolor{white}{-1\frac{29}{35}}$$return {
["body"] = 49,
["id"] = "ictrzc_0714_0104",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -1.8285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 35 },
["render"] = "\\frac{-64}{35}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{29}{35}",
["x"] = -1,
["y"] = 29,
["z"] = 35 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{5} \\cdot \\frac{8}{3\\frac{2}{4}}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.39, bodu=77, $$(4\frac{5}{9} + 10) \cdot (-8 - 3\frac{4}{8} + 10)^4=\textcolor{white}{73\frac{11}{16}}$$return {
["body"] = 77,
["id"] = "Yhx7RQ_0714_0104",
["obtiznost"] = 0.8288,
["reseni"] = {
["float"] = 73.6875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1179,
["jmenovatel"] = 16 },
["render"] = "\\frac{10611}{144}",
["typ"] = "cislo" },
["tex"] = "73\\frac{11}{16}",
["x"] = 73,
["y"] = 11,
["z"] = 16 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{4}{8} + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-8 - 3\\frac{4}{8} + 10)^4",
["typ"] = "mocnina" },
["render"] = "(4\\frac{5}{9} + 10) \\cdot (-8 - 3\\frac{4}{8} + 10)^4",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.4, bodu=33, $$-10 - \frac{15}{(\frac{12}{4})^3 - 10}=\textcolor{white}{-10\frac{15}{17}}$$return {
["body"] = 33,
["id"] = "oletZS_0714_0104",
["obtiznost"] = 0.4112,
["reseni"] = {
["float"] = -10.882352941176,
["objekt"] = {
["hodnota"] = {
["citatel"] = -185,
["jmenovatel"] = 17 },
["render"] = "\\frac{-185}{17}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{15}{17}",
["x"] = -10,
["y"] = 15,
["z"] = 17 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{12}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{4})^3 - 10",
["typ"] = "minus" },
["render"] = "\\frac{15}{(\\frac{12}{4})^3 - 10}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{15}{(\\frac{12}{4})^3 - 10}",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.41, bodu=75, $$(\frac{1\frac{4}{10}}{3\frac{1}{4}} + 12 + 7) \cdot 13=\textcolor{white}{252{,}6}$$return {
["body"] = 75,
["id"] = "DKkrJn_0714_0104",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 252.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1263,
["jmenovatel"] = 5 },
["render"] = "\\frac{16419}{65}",
["typ"] = "cislo" },
["tex"] = "252\\frac{3}{5}",
["tex_float"] = "252{,}6",
["x"] = 252,
["y"] = 3,
["z"] = 5 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{3\\frac{1}{4}} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{3\\frac{1}{4}} + 12 + 7",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{4}{10}}{3\\frac{1}{4}} + 12 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{4}{10}}{3\\frac{1}{4}} + 12 + 7) \\cdot 13",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.42, bodu=76, $$(3\frac{3}{6} + 6) \cdot \frac{-14}{10 \cdot 3\frac{5}{11}}=\textcolor{white}{-3{,}85}$$return {
["body"] = 76,
["id"] = "TYF7MW_0714_0104",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -3.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 20 },
["render"] = "\\frac{-1463}{380}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{17}{20}",
["tex_float"] = "-3{,}85",
["x"] = -3,
["y"] = 17,
["z"] = 20 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.42",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + 6",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{6} + 6)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "\\frac{-14}{10 \\cdot 3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{3}{6} + 6) \\cdot \\frac{-14}{10 \\cdot 3\\frac{5}{11}}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.43, bodu=55, $$(8 - (-9)) \cdot (-14 - (1\frac{4}{10} - (-12)))=\textcolor{white}{-465{,}8}$$return {
["body"] = 55,
["id"] = "t3HDt6_0714_0104",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -465.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2329,
["jmenovatel"] = 5 },
["render"] = "\\frac{-2329}{5}",
["typ"] = "cislo" },
["tex"] = "-465\\frac{4}{5}",
["tex_float"] = "-465{,}8",
["x"] = -465,
["y"] = 4,
["z"] = 5 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 - (-9)",
["typ"] = "minus" },
["render"] = "(8 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} - (-12)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{10} - (-12))",
["typ"] = "zavorka" },
["render"] = "-14 - (1\\frac{4}{10} - (-12))",
["typ"] = "minus" },
["render"] = "(-14 - (1\\frac{4}{10} - (-12)))",
["typ"] = "zavorka" },
["render"] = "(8 - (-9)) \\cdot (-14 - (1\\frac{4}{10} - (-12)))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.44, bodu=79, $$13 + 9 - \frac{2\frac{3}{4}}{1\frac{2}{5}} - (-13)=\textcolor{white}{33\frac{1}{28}}$$return {
["body"] = 79,
["id"] = "BHj9y4_0714_0104",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 33.035714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 925,
["jmenovatel"] = 28 },
["render"] = "\\frac{925}{28}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{28}",
["x"] = 33,
["y"] = 1,
["z"] = 28 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{4}}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{2\\frac{3}{4}}{1\\frac{2}{5}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 - \\frac{2\\frac{3}{4}}{1\\frac{2}{5}} - (-13)",
["typ"] = "minus" },
["render"] = "13 + 9 - \\frac{2\\frac{3}{4}}{1\\frac{2}{5}} - (-13)",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.45, bodu=37, $$\frac{-8}{11} \cdot (6 + (-8))^3 \cdot -13=\textcolor{white}{-75\frac{7}{11}}$$return {
["body"] = 37,
["id"] = "Rrq2bi_0714_0104",
["obtiznost"] = 0.4536,
["reseni"] = {
["float"] = -75.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -832,
["jmenovatel"] = 11 },
["render"] = "\\frac{-832}{11}",
["typ"] = "cislo" },
["tex"] = "-75\\frac{7}{11}",
["x"] = -75,
["y"] = 7,
["z"] = 11 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + (-8))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{11} \\cdot (6 + (-8))^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{11} \\cdot (6 + (-8))^3 \\cdot -13",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.46, bodu=81, $$(-15 - (\frac{1\frac{2}{9}}{1\frac{5}{8}} - (-4))) \cdot 10=\textcolor{white}{-197\frac{61}{117}}$$return {
["body"] = 81,
["id"] = "mLbht7_0714_0104",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -197.52136752137,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23110,
["jmenovatel"] = 117 },
["render"] = "\\frac{-23110}{117}",
["typ"] = "cislo" },
["tex"] = "-197\\frac{61}{117}",
["x"] = -197,
["y"] = 61,
["z"] = 117 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.46",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{1\\frac{5}{8}} - (-4)",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{2}{9}}{1\\frac{5}{8}} - (-4))",
["typ"] = "zavorka" },
["render"] = "-15 - (\\frac{1\\frac{2}{9}}{1\\frac{5}{8}} - (-4))",
["typ"] = "minus" },
["render"] = "(-15 - (\\frac{1\\frac{2}{9}}{1\\frac{5}{8}} - (-4)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-15 - (\\frac{1\\frac{2}{9}}{1\\frac{5}{8}} - (-4))) \\cdot 10",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.47, bodu=83, $$\frac{-11 - (4\frac{5}{7} - (-9))}{6} \cdot 1\frac{3}{6}=\textcolor{white}{-6\frac{5}{28}}$$return {
["body"] = 83,
["id"] = "4pzd9i_0714_0104",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -6.1785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -173,
["jmenovatel"] = 28 },
["render"] = "\\frac{-519}{84}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{5}{28}",
["x"] = -6,
["y"] = 5,
["z"] = 28 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} - (-9)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{7} - (-9))",
["typ"] = "zavorka" },
["render"] = "-11 - (4\\frac{5}{7} - (-9))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (4\\frac{5}{7} - (-9))}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - (4\\frac{5}{7} - (-9))}{6} \\cdot 1\\frac{3}{6}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.48, bodu=39, $$\frac{\frac{8}{11}}{\frac{-16}{10}}=\textcolor{white}{-\frac{5}{11}}$$return {
["body"] = 39,
["id"] = "G5YNgg_0714_0104",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.45454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 11 },
["render"] = "\\frac{40}{-88}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{11}",
["y"] = -5,
["z"] = 11 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{8}{11}}{\\frac{-16}{10}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.49, bodu=46, $$\frac{(\frac{-8}{-9})^2}{\frac{-7}{-12}}=\textcolor{white}{1\frac{67}{189}}$$return {
["body"] = 46,
["id"] = "tb6jIp_0714_0104",
["obtiznost"] = 0.548,
["reseni"] = {
["float"] = 1.3544973544974,
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 189 },
["render"] = "\\frac{768}{567}",
["typ"] = "cislo" },
["tex"] = "1\\frac{67}{189}",
["x"] = 1,
["y"] = 67,
["z"] = 189 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.49",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{-9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{-8}{-9})^2}{\\frac{-7}{-12}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.5, bodu=113, $$6 + 1\frac{3}{7} - 9 - \frac{4\frac{5}{11}}{2\frac{3}{7}}=\textcolor{white}{-3\frac{531}{1309}}$$return {
["body"] = 113,
["id"] = "M3xPLG_0714_0104",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -3.4056531703591,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4458,
["jmenovatel"] = 1309 },
["render"] = "\\frac{-4458}{1309}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{531}{1309}",
["x"] = -3,
["y"] = 531,
["z"] = 1309 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - 9",
["typ"] = "minus" },
["render"] = "6 + 1\\frac{3}{7} - 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "6 + 1\\frac{3}{7} - 9 - \\frac{4\\frac{5}{11}}{2\\frac{3}{7}}",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.51, bodu=115, $$8 \cdot (1\frac{3}{7} - 11 \cdot 2\frac{4}{9}) + 2\frac{1}{6}=\textcolor{white}{-201\frac{65}{126}}$$return {
["body"] = 115,
["id"] = "F6R2hT_0714_0104",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -201.51587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25391,
["jmenovatel"] = 126 },
["render"] = "\\frac{-76173}{378}",
["typ"] = "cislo" },
["tex"] = "-201\\frac{65}{126}",
["x"] = -201,
["y"] = 65,
["z"] = 126 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "1\\frac{3}{7} - 11 \\cdot 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - 11 \\cdot 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (1\\frac{3}{7} - 11 \\cdot 2\\frac{4}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "8 \\cdot (1\\frac{3}{7} - 11 \\cdot 2\\frac{4}{9}) + 2\\frac{1}{6}",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.52, bodu=43, $$\frac{-11}{-8 - (5 + 15 - (-16 - 8))}=\textcolor{white}{\frac{11}{52}}$$return {
["body"] = 43,
["id"] = "oRSNcI_0714_0104",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 0.21153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 52 },
["render"] = "\\frac{-11}{-52}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{52}",
["y"] = 11,
["z"] = 52 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "5 + 15",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "5 + 15 - (-16 - 8)",
["typ"] = "minus" },
["render"] = "(5 + 15 - (-16 - 8))",
["typ"] = "zavorka" },
["render"] = "-8 - (5 + 15 - (-16 - 8))",
["typ"] = "minus" },
["render"] = "\\frac{-11}{-8 - (5 + 15 - (-16 - 8))}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.53, bodu=66, $$18 \cdot (-6 - (\frac{1\frac{4}{11}}{8} + (-5)))=\textcolor{white}{-21\frac{3}{44}}$$return {
["body"] = 66,
["id"] = "Ub3Pht_0714_0104",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -21.068181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -927,
["jmenovatel"] = 44 },
["render"] = "\\frac{-1854}{88}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{3}{44}",
["x"] = -21,
["y"] = 3,
["z"] = 44 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11}}{8} + (-5)",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{4}{11}}{8} + (-5))",
["typ"] = "zavorka" },
["render"] = "-6 - (\\frac{1\\frac{4}{11}}{8} + (-5))",
["typ"] = "minus" },
["render"] = "(-6 - (\\frac{1\\frac{4}{11}}{8} + (-5)))",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (-6 - (\\frac{1\\frac{4}{11}}{8} + (-5)))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.54, bodu=119, $$\frac{2\frac{4}{11} \cdot 3\frac{3}{8}}{1\frac{4}{8} + 13 \cdot 11}=\textcolor{white}{\frac{351}{6358}}$$return {
["body"] = 119,
["id"] = "jtr5y4_0714_0104",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 0.055206039635105,
["objekt"] = {
["hodnota"] = {
["citatel"] = 351,
["jmenovatel"] = 6358 },
["render"] = "\\frac{702}{12716}",
["typ"] = "cislo" },
["tex"] = "\\frac{351}{6358}",
["y"] = 351,
["z"] = 6358 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["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"] = "1\\frac{4}{8} + 13 \\cdot 11",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{11} \\cdot 3\\frac{3}{8}}{1\\frac{4}{8} + 13 \\cdot 11}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.55, bodu=120, $$\frac{3\frac{2}{6}}{11 - 1\frac{2}{4}} \cdot 8 + 4\frac{4}{6}=\textcolor{white}{7\frac{9}{19}}$$return {
["body"] = 120,
["id"] = "YkPWfu_0714_0104",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 7.4736842105263,
["objekt"] = {
["hodnota"] = {
["citatel"] = 142,
["jmenovatel"] = 19 },
["render"] = "\\frac{1278}{171}",
["typ"] = "cislo" },
["tex"] = "7\\frac{9}{19}",
["x"] = 7,
["y"] = 9,
["z"] = 19 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{2}{6}}{11 - 1\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{11 - 1\\frac{2}{4}} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{11 - 1\\frac{2}{4}} \\cdot 8 + 4\\frac{4}{6}",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.56, bodu=69, $$10 + (-8 \cdot (1\frac{4}{7} - 9) \cdot 6)=\textcolor{white}{366\frac{4}{7}}$$return {
["body"] = 69,
["id"] = "9btpft_0714_0104",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 366.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2566,
["jmenovatel"] = 7 },
["render"] = "\\frac{2566}{7}",
["typ"] = "cislo" },
["tex"] = "366\\frac{4}{7}",
["x"] = 366,
["y"] = 4,
["z"] = 7 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - 9",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{7} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{7} - 9) \\cdot 6",
["typ"] = "krat" },
["render"] = "-8 \\cdot (1\\frac{4}{7} - 9) \\cdot 6",
["typ"] = "krat" },
["render"] = "10 + (-8 \\cdot (1\\frac{4}{7} - 9) \\cdot 6)",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.57, bodu=73, $$(\frac{10}{-10} - 2\frac{5}{10})^2 - (13 + (-8 + 15))=\textcolor{white}{-7{,}75}$$return {
["body"] = 73,
["id"] = "QNG9dD_0714_0104",
["obtiznost"] = 0.7912,
["reseni"] = {
["float"] = -7.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31,
["jmenovatel"] = 4 },
["render"] = "\\frac{-31}{4}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{3}{4}",
["tex_float"] = "-7{,}75",
["x"] = -7,
["y"] = 3,
["z"] = 4 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.57",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-10} - 2\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-10} - 2\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-8 + 15",
["typ"] = "plus" },
["render"] = "13 + (-8 + 15)",
["typ"] = "plus" },
["render"] = "(13 + (-8 + 15))",
["typ"] = "zavorka" },
["render"] = "(\\frac{10}{-10} - 2\\frac{5}{10})^2 - (13 + (-8 + 15))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.58, bodu=125, $$\frac{11 - 1\frac{3}{6} \cdot 4\frac{4}{11}}{14 - 1\frac{3}{6}}=\textcolor{white}{\frac{98}{275}}$$return {
["body"] = 125,
["id"] = "nfEzRJ_0714_0104",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 0.35636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 98,
["jmenovatel"] = 275 },
["render"] = "\\frac{98}{275}",
["typ"] = "cislo" },
["tex"] = "\\frac{98}{275}",
["y"] = 98,
["z"] = 275 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 4\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "11 - 1\\frac{3}{6} \\cdot 4\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "14 - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{11 - 1\\frac{3}{6} \\cdot 4\\frac{4}{11}}{14 - 1\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.59, bodu=98, $$1\frac{2}{8} \cdot (\frac{-9}{6 \cdot 1\frac{4}{7}} + 16)=\textcolor{white}{18\frac{71}{88}}$$return {
["body"] = 98,
["id"] = "EOOTw7_0714_0104",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 18.806818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1655,
["jmenovatel"] = 88 },
["render"] = "\\frac{1655}{88}",
["typ"] = "cislo" },
["tex"] = "18\\frac{71}{88}",
["x"] = 18,
["y"] = 71,
["z"] = 88 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{-9}{6 \\cdot 1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{6 \\cdot 1\\frac{4}{7}} + 16",
["typ"] = "plus" },
["render"] = "(\\frac{-9}{6 \\cdot 1\\frac{4}{7}} + 16)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} \\cdot (\\frac{-9}{6 \\cdot 1\\frac{4}{7}} + 16)",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.6, bodu=74, $$-11 - (15 \cdot 1\frac{5}{9} + 18 \cdot 7 - (-4))=\textcolor{white}{-164\frac{1}{3}}$$return {
["body"] = 74,
["id"] = "RNyt53_0714_0104",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -164.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -493,
["jmenovatel"] = 3 },
["render"] = "\\frac{-493}{3}",
["typ"] = "cislo" },
["tex"] = "-164\\frac{1}{3}",
["x"] = -164,
["y"] = 1,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "18 \\cdot 7",
["typ"] = "krat" },
["render"] = "15 \\cdot 1\\frac{5}{9} + 18 \\cdot 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{5}{9} + 18 \\cdot 7 - (-4)",
["typ"] = "minus" },
["render"] = "(15 \\cdot 1\\frac{5}{9} + 18 \\cdot 7 - (-4))",
["typ"] = "zavorka" },
["render"] = "-11 - (15 \\cdot 1\\frac{5}{9} + 18 \\cdot 7 - (-4))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.61, bodu=49, $$(-8 - (15 + (-13) + 4 - (-17)))^2 \cdot -3=\textcolor{white}{-2883}$$return {
["body"] = 49,
["id"] = "G917G2_0714_0104",
["obtiznost"] = 0.9948,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2883,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2883}{1}",
["typ"] = "cislo" },
["tex"] = "-2883",
["x"] = -2883 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.61",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4 - (-17)",
["typ"] = "minus" },
["render"] = "15 + (-13) + 4 - (-17)",
["typ"] = "plus" },
["render"] = "(15 + (-13) + 4 - (-17))",
["typ"] = "zavorka" },
["render"] = "-8 - (15 + (-13) + 4 - (-17))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - (15 + (-13) + 4 - (-17)))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(-8 - (15 + (-13) + 4 - (-17)))^2 \\cdot -3",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.62, bodu=121, $$\frac{4\frac{3}{6} + 10 - (\frac{4\frac{4}{8}}{-6})^4 + 8}{9}=\textcolor{white}{2\frac{119}{256}}$$return {
["body"] = 121,
["id"] = "BtJ6gM_0714_0104",
["obtiznost"] = 1.1548,
["reseni"] = {
["float"] = 2.46484375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 631,
["jmenovatel"] = 256 },
["render"] = "\\frac{5679}{2304}",
["typ"] = "cislo" },
["tex"] = "2\\frac{119}{256}",
["x"] = 2,
["y"] = 119,
["z"] = 256 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 10",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{4}{8}}{-6})^4",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{6} + 10 - (\\frac{4\\frac{4}{8}}{-6})^4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 10 - (\\frac{4\\frac{4}{8}}{-6})^4 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{6} + 10 - (\\frac{4\\frac{4}{8}}{-6})^4 + 8}{9}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.63, bodu=104, $$(1\frac{3}{11} + (-14)) \cdot (2\frac{1}{2} \cdot -7 \cdot -10 + (-14))=\textcolor{white}{-2049\frac{1}{11}}$$return {
["body"] = 104,
["id"] = "SlxJ6w_0714_0104",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -2049.0909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22540,
["jmenovatel"] = 11 },
["render"] = "\\frac{-22540}{11}",
["typ"] = "cislo" },
["tex"] = "-2049\\frac{1}{11}",
["x"] = -2049,
["y"] = 1,
["z"] = 11 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + (-14)",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{11} + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["render"] = "2\\frac{1}{2} \\cdot -7 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} \\cdot -7 \\cdot -10 + (-14)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{2} \\cdot -7 \\cdot -10 + (-14))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{11} + (-14)) \\cdot (2\\frac{1}{2} \\cdot -7 \\cdot -10 + (-14))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.64, bodu=79, $$\frac{4\frac{1}{8} \cdot -8}{18 \cdot (-7 + 5)^3}=\textcolor{white}{\frac{11}{48}}$$return {
["body"] = 79,
["id"] = "9dJhph_0714_0104",
["obtiznost"] = 0.8436,
["reseni"] = {
["float"] = 0.22916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 48 },
["render"] = "\\frac{-33}{-144}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{48}",
["y"] = 11,
["z"] = 48 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-7 + 5)^3",
["typ"] = "mocnina" },
["render"] = "18 \\cdot (-7 + 5)^3",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{8} \\cdot -8}{18 \\cdot (-7 + 5)^3}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.65, bodu=80, $$\frac{13}{((9 + (-9))^3 - 10) \cdot -12} + 2\frac{2}{6}=\textcolor{white}{2\frac{53}{120}}$$return {
["body"] = 80,
["id"] = "goMarq_0714_0104",
["obtiznost"] = 0.8504,
["reseni"] = {
["float"] = 2.4416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 293,
["jmenovatel"] = 120 },
["render"] = "\\frac{879}{360}",
["typ"] = "cislo" },
["tex"] = "2\\frac{53}{120}",
["x"] = 2,
["y"] = 53,
["z"] = 120 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(9 + (-9))^3 - 10",
["typ"] = "minus" },
["render"] = "((9 + (-9))^3 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "((9 + (-9))^3 - 10) \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{13}{((9 + (-9))^3 - 10) \\cdot -12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{((9 + (-9))^3 - 10) \\cdot -12} + 2\\frac{2}{6}",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.66, bodu=81, $$-8 + \frac{-14}{-12 + 13 \cdot 4\frac{5}{10}} - 14=\textcolor{white}{-22\frac{28}{93}}$$return {
["body"] = 81,
["id"] = "T2mZVR_0714_0104",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -22.301075268817,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2074,
["jmenovatel"] = 93 },
["render"] = "\\frac{-2074}{93}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{28}{93}",
["x"] = -22,
["y"] = 28,
["z"] = 93 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "-12 + 13 \\cdot 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-14}{-12 + 13 \\cdot 4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-12 + 13 \\cdot 4\\frac{5}{10}} - 14",
["typ"] = "minus" },
["render"] = "-8 + \\frac{-14}{-12 + 13 \\cdot 4\\frac{5}{10}} - 14",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.67, bodu=83, $$7 \cdot \frac{2\frac{4}{10}}{18} + (-9 \cdot 14)=\textcolor{white}{-125\frac{1}{15}}$$return {
["body"] = 83,
["id"] = "3YGhdp_0714_0104",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -125.06666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1876,
["jmenovatel"] = 15 },
["render"] = "\\frac{-1876}{15}",
["typ"] = "cislo" },
["tex"] = "-125\\frac{1}{15}",
["x"] = -125,
["y"] = 1,
["z"] = 15 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{10}}{18}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{2\\frac{4}{10}}{18}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 14",
["typ"] = "krat" },
["render"] = "7 \\cdot \\frac{2\\frac{4}{10}}{18} + (-9 \\cdot 14)",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.68, bodu=108, $$((\frac{18}{-18})^4 - (10 - 10 \cdot 4))^2=\textcolor{white}{961}$$return {
["body"] = 108,
["id"] = "ROXe9k_0714_0104",
["obtiznost"] = 1.0656,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 961,
["jmenovatel"] = 1 },
["render"] = "\\frac{961}{1}",
["typ"] = "cislo" },
["tex"] = "961",
["x"] = 961 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.68",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{18}{-18})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["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"] = "10 - 10 \\cdot 4",
["typ"] = "minus" },
["render"] = "(10 - 10 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "(\\frac{18}{-18})^4 - (10 - 10 \\cdot 4)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((\\frac{18}{-18})^4 - (10 - 10 \\cdot 4))^2",
["typ"] = "mocnina" } }
seed: lWcNN2U78PfZtAg0XrwN_0.69, bodu=85, $$4 \cdot \frac{-13}{\frac{2\frac{2}{8}}{11 - (-10)}}=\textcolor{white}{-485\frac{1}{3}}$$return {
["body"] = 85,
["id"] = "35DmNK_0714_0104",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -485.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1456,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1456}{3}",
["typ"] = "cislo" },
["tex"] = "-485\\frac{1}{3}",
["x"] = -485,
["y"] = 1,
["z"] = 3 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{8}}{11 - (-10)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{2\\frac{2}{8}}{11 - (-10)}}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{-13}{\\frac{2\\frac{2}{8}}{11 - (-10)}}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.7, bodu=114, $$1\frac{2}{8} \cdot (\frac{-12}{1\frac{4}{9}} - (6 - 8)^3)=\textcolor{white}{-\frac{5}{13}}$$return {
["body"] = 114,
["id"] = "4mczjh_0714_0104",
["obtiznost"] = 1.1036,
["reseni"] = {
["float"] = -0.38461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 13 },
["render"] = "\\frac{-20}{52}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{13}",
["y"] = -5,
["z"] = 13 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 8)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-12}{1\\frac{4}{9}} - (6 - 8)^3",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{1\\frac{4}{9}} - (6 - 8)^3)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} \\cdot (\\frac{-12}{1\\frac{4}{9}} - (6 - 8)^3)",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.71, bodu=128, $$\frac{-6}{4\frac{4}{12}} - (16 - (6 + (9 + 18)^2))=\textcolor{white}{717\frac{8}{13}}$$return {
["body"] = 128,
["id"] = "RtmVCK_0714_0104",
["obtiznost"] = 1.202,
["reseni"] = {
["float"] = 717.61538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9329,
["jmenovatel"] = 13 },
["render"] = "\\frac{9329}{13}",
["typ"] = "cislo" },
["tex"] = "717\\frac{8}{13}",
["x"] = 717,
["y"] = 8,
["z"] = 13 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{4\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "9 + 18",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 18)^2",
["typ"] = "mocnina" },
["render"] = "6 + (9 + 18)^2",
["typ"] = "plus" },
["render"] = "(6 + (9 + 18)^2)",
["typ"] = "zavorka" },
["render"] = "16 - (6 + (9 + 18)^2)",
["typ"] = "minus" },
["render"] = "(16 - (6 + (9 + 18)^2))",
["typ"] = "zavorka" },
["render"] = "\\frac{-6}{4\\frac{4}{12}} - (16 - (6 + (9 + 18)^2))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.72, bodu=116, $$\frac{1\frac{2}{6}}{-20 \cdot -13 \cdot (4\frac{2}{8} + 4)}=\textcolor{white}{\frac{4}{6435}}$$return {
["body"] = 116,
["id"] = "9fVbq8_0714_0104",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 0.00062160062160062,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 6435 },
["render"] = "\\frac{4}{6435}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{6435}",
["y"] = 4,
["z"] = 6435 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-20 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + 4",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{8} + 4)",
["typ"] = "zavorka" },
["render"] = "-20 \\cdot -13 \\cdot (4\\frac{2}{8} + 4)",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{6}}{-20 \\cdot -13 \\cdot (4\\frac{2}{8} + 4)}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.73, bodu=90, $$\frac{14 \cdot -8}{19 - \frac{7}{2\frac{3}{10}}}=\textcolor{white}{-7\frac{7}{367}}$$return {
["body"] = 90,
["id"] = "anYoLJ_0714_0104",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -7.0190735694823,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2576,
["jmenovatel"] = 367 },
["render"] = "\\frac{-2576}{367}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{7}{367}",
["x"] = -7,
["y"] = 7,
["z"] = 367 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "19 - \\frac{7}{2\\frac{3}{10}}",
["typ"] = "minus" },
["render"] = "\\frac{14 \\cdot -8}{19 - \\frac{7}{2\\frac{3}{10}}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.74, bodu=119, $$\frac{4\frac{2}{7} - (-12)}{\frac{5 - (-10 - 1\frac{5}{13})}{6}}=\textcolor{white}{5\frac{479}{497}}$$return {
["body"] = 119,
["id"] = "OZu7NU_0714_0104",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 5.9637826961771,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2964,
["jmenovatel"] = 497 },
["render"] = "\\frac{2964}{497}",
["typ"] = "cislo" },
["tex"] = "5\\frac{479}{497}",
["x"] = 5,
["y"] = 479,
["z"] = 497 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(-10 - 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "5 - (-10 - 1\\frac{5}{13})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (-10 - 1\\frac{5}{13})}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{7} - (-12)}{\\frac{5 - (-10 - 1\\frac{5}{13})}{6}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.75, bodu=183, $$3\frac{4}{11} + 1\frac{4}{10} - (3\frac{3}{8} - 10) \cdot 3\frac{2}{4} + (-11)=\textcolor{white}{16\frac{837}{880}}$$return {
["body"] = 183,
["id"] = "ncEfTt_0714_0104",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 16.951136363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14917,
["jmenovatel"] = 880 },
["render"] = "\\frac{14917}{880}",
["typ"] = "cislo" },
["tex"] = "16\\frac{837}{880}",
["x"] = 16,
["y"] = 837,
["z"] = 880 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} + 1\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 10",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} - 10) \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{11} + 1\\frac{4}{10} - (3\\frac{3}{8} - 10) \\cdot 3\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} + 1\\frac{4}{10} - (3\\frac{3}{8} - 10) \\cdot 3\\frac{2}{4} + (-11)",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.76, bodu=152, $$2\frac{2}{8} \cdot (4\frac{4}{6} - (-19 + 2\frac{3}{8}) - (-18) + (-12))=\textcolor{white}{61\frac{13}{32}}$$return {
["body"] = 152,
["id"] = "VqfHBc_0714_0104",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 61.40625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1965,
["jmenovatel"] = 32 },
["render"] = "\\frac{5895}{96}",
["typ"] = "cislo" },
["tex"] = "61\\frac{13}{32}",
["x"] = 61,
["y"] = 13,
["z"] = 32 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-19 + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-19 + 2\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{6} - (-19 + 2\\frac{3}{8})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} - (-19 + 2\\frac{3}{8}) - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} - (-19 + 2\\frac{3}{8}) - (-18) + (-12)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{6} - (-19 + 2\\frac{3}{8}) - (-18) + (-12))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{8} \\cdot (4\\frac{4}{6} - (-19 + 2\\frac{3}{8}) - (-18) + (-12))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.77, bodu=123, $$\frac{\frac{-9 - 12}{2\frac{5}{6}}}{10 - 1\frac{3}{4}}=\textcolor{white}{-\frac{168}{187}}$$return {
["body"] = 123,
["id"] = "LlmZ1Y_0714_0104",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -0.89839572192513,
["objekt"] = {
["hodnota"] = {
["citatel"] = -168,
["jmenovatel"] = 187 },
["render"] = "\\frac{-504}{561}",
["typ"] = "cislo" },
["tex"] = "-\\frac{168}{187}",
["y"] = -168,
["z"] = 187 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 12}{2\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-9 - 12}{2\\frac{5}{6}}}{10 - 1\\frac{3}{4}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.78, bodu=125, $$14 + 5 - 1\frac{4}{13} + (-15) - \frac{-3}{4\frac{2}{3}}=\textcolor{white}{3\frac{61}{182}}$$return {
["body"] = 125,
["id"] = "x3X3pf_0714_0104",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 3.3351648351648,
["objekt"] = {
["hodnota"] = {
["citatel"] = 607,
["jmenovatel"] = 182 },
["render"] = "\\frac{607}{182}",
["typ"] = "cislo" },
["tex"] = "3\\frac{61}{182}",
["x"] = 3,
["y"] = 61,
["z"] = 182 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "5 - 1\\frac{4}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "5 - 1\\frac{4}{13} + (-15)",
["typ"] = "plus" },
["render"] = "14 + 5 - 1\\frac{4}{13} + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{4\\frac{2}{3}}",
["typ"] = "lomeno" },
["render"] = "14 + 5 - 1\\frac{4}{13} + (-15) - \\frac{-3}{4\\frac{2}{3}}",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.79, bodu=157, $$2\frac{2}{10} - (1\frac{2}{5} + 2\frac{2}{4} - (8 - (-15)) - (-9 + (-14)))=\textcolor{white}{-1{,}7}$$return {
["body"] = 157,
["id"] = "dVlIaB_0714_0104",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -1.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 10 },
["render"] = "\\frac{-85}{50}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{10}",
["tex_float"] = "-1{,}7",
["x"] = -1,
["y"] = 7,
["z"] = 10 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 - (-15)",
["typ"] = "minus" },
["render"] = "(8 - (-15))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{4} - (8 - (-15))",
["typ"] = "minus" },
["render"] = "1\\frac{2}{5} + 2\\frac{2}{4} - (8 - (-15))",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-9 + (-14)",
["typ"] = "plus" },
["render"] = "(-9 + (-14))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{5} + 2\\frac{2}{4} - (8 - (-15)) - (-9 + (-14))",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{5} + 2\\frac{2}{4} - (8 - (-15)) - (-9 + (-14)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{10} - (1\\frac{2}{5} + 2\\frac{2}{4} - (8 - (-15)) - (-9 + (-14)))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.8, bodu=128, $$2\frac{4}{14} - 4\frac{5}{8} - (-9) - (-17 - 6 + 15 - 9)=\textcolor{white}{23\frac{37}{56}}$$return {
["body"] = 128,
["id"] = "LyLDzk_0714_0104",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 23.660714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1325,
["jmenovatel"] = 56 },
["render"] = "\\frac{1325}{56}",
["typ"] = "cislo" },
["tex"] = "23\\frac{37}{56}",
["x"] = 23,
["y"] = 37,
["z"] = 56 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} - 4\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} - 4\\frac{5}{8} - (-9)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-17 - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "15 - 9",
["typ"] = "minus" },
["render"] = "-17 - 6 + 15 - 9",
["typ"] = "plus" },
["render"] = "(-17 - 6 + 15 - 9)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{14} - 4\\frac{5}{8} - (-9) - (-17 - 6 + 15 - 9)",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.81, bodu=193, $$4\frac{3}{13} + (-12) - 4\frac{2}{8} - (2\frac{1}{5} + (-12 + 15 \cdot 3\frac{1}{10}))=\textcolor{white}{-48\frac{187}{260}}$$return {
["body"] = 193,
["id"] = "aOLBc5_0714_0104",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = -48.719230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12667,
["jmenovatel"] = 260 },
["render"] = "\\frac{-25334}{520}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{187}{260}",
["x"] = -48,
["y"] = 187,
["z"] = 260 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{13} + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{13} + (-12) - 4\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 3\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "-12 + 15 \\cdot 3\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "2\\frac{1}{5} + (-12 + 15 \\cdot 3\\frac{1}{10})",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{5} + (-12 + 15 \\cdot 3\\frac{1}{10}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{13} + (-12) - 4\\frac{2}{8} - (2\\frac{1}{5} + (-12 + 15 \\cdot 3\\frac{1}{10}))",
["typ"] = "minus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.82, bodu=230, $$(4\frac{5}{15} + (-9 - 2\frac{4}{12})) \cdot (4\frac{4}{8} - 4\frac{4}{5}) \cdot 4\frac{4}{10}=\textcolor{white}{9{,}24}$$return {
["body"] = 230,
["id"] = "iyJFyk_0714_0104",
["obtiznost"] = 1.82,
["reseni"] = {
["float"] = 9.24,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 25 },
["render"] = "\\frac{462}{50}",
["typ"] = "cislo" },
["tex"] = "9\\frac{6}{25}",
["tex_float"] = "9{,}24",
["x"] = 9,
["y"] = 6,
["z"] = 25 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-9 - 2\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "4\\frac{5}{15} + (-9 - 2\\frac{4}{12})",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{15} + (-9 - 2\\frac{4}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 4\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{8} - 4\\frac{4}{5})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{5}{15} + (-9 - 2\\frac{4}{12})) \\cdot (4\\frac{4}{8} - 4\\frac{4}{5})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{15} + (-9 - 2\\frac{4}{12})) \\cdot (4\\frac{4}{8} - 4\\frac{4}{5}) \\cdot 4\\frac{4}{10}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.83, bodu=132, $$\frac{\frac{4\frac{2}{7}}{9 \cdot 17 + 16}}{4\frac{3}{10}} + (-10)=\textcolor{white}{-9\frac{50569}{50869}}$$return {
["body"] = 132,
["id"] = "m2osjb_0714_0104",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -9.9941024985748,
["objekt"] = {
["hodnota"] = {
["citatel"] = -508390,
["jmenovatel"] = 50869 },
["render"] = "\\frac{-508390}{50869}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{50569}{50869}",
["x"] = -9,
["y"] = 50569,
["z"] = 50869 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "9 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "9 \\cdot 17 + 16",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{7}}{9 \\cdot 17 + 16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{7}}{9 \\cdot 17 + 16}}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{7}}{9 \\cdot 17 + 16}}{4\\frac{3}{10}} + (-10)",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.84, bodu=195, $$2\frac{2}{4} \cdot (16 + 4\frac{1}{6} + (\frac{-9}{1\frac{3}{11} + (-16)})^2) + 19=\textcolor{white}{70\frac{227}{648}}$$return {
["body"] = 195,
["id"] = "3QvPXM_0714_0104",
["obtiznost"] = 1.618,
["reseni"] = {
["float"] = 70.350308641975,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45587,
["jmenovatel"] = 648 },
["render"] = "\\frac{45587}{648}",
["typ"] = "cislo" },
["tex"] = "70\\frac{227}{648}",
["x"] = 70,
["y"] = 227,
["z"] = 648 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "16 + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + (-16)",
["typ"] = "plus" },
["render"] = "\\frac{-9}{1\\frac{3}{11} + (-16)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{1\\frac{3}{11} + (-16)})^2",
["typ"] = "mocnina" },
["render"] = "16 + 4\\frac{1}{6} + (\\frac{-9}{1\\frac{3}{11} + (-16)})^2",
["typ"] = "plus" },
["render"] = "(16 + 4\\frac{1}{6} + (\\frac{-9}{1\\frac{3}{11} + (-16)})^2)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{4} \\cdot (16 + 4\\frac{1}{6} + (\\frac{-9}{1\\frac{3}{11} + (-16)})^2)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot (16 + 4\\frac{1}{6} + (\\frac{-9}{1\\frac{3}{11} + (-16)})^2) + 19",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.85, bodu=167, $$\frac{\frac{3\frac{2}{9}}{12 \cdot 4\frac{2}{8} \cdot 4\frac{1}{5}}}{-18}=\textcolor{white}{-\frac{145}{173502}}$$return {
["body"] = 167,
["id"] = "2EhA59_0714_0104",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -0.0008357252365967,
["objekt"] = {
["hodnota"] = {
["citatel"] = -145,
["jmenovatel"] = 173502 },
["render"] = "\\frac{145}{-173502}",
["typ"] = "cislo" },
["tex"] = "-\\frac{145}{173502}",
["y"] = -145,
["z"] = 173502 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4\\frac{2}{8} \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{9}}{12 \\cdot 4\\frac{2}{8} \\cdot 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{9}}{12 \\cdot 4\\frac{2}{8} \\cdot 4\\frac{1}{5}}}{-18}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.86, bodu=108, $$\frac{6}{\frac{\frac{-18}{-13}}{\frac{-12}{1\frac{4}{7}}}}=\textcolor{white}{-33\frac{1}{11}}$$return {
["body"] = 108,
["id"] = "jnhyBS_0714_0104",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -33.090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -364,
["jmenovatel"] = 11 },
["render"] = "\\frac{1092}{-33}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{1}{11}",
["x"] = -33,
["y"] = 1,
["z"] = 11 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-18}{-13}}{\\frac{-12}{1\\frac{4}{7}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{\\frac{-18}{-13}}{\\frac{-12}{1\\frac{4}{7}}}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.87, bodu=161, $$\frac{(-21 - 8)^2 - (-3)}{18 + 2\frac{1}{9} - (15 + (-13))^4}=\textcolor{white}{205\frac{11}{37}}$$return {
["body"] = 161,
["id"] = "xawu1t_0714_0104",
["obtiznost"] = 1.4136,
["reseni"] = {
["float"] = 205.2972972973,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7596,
["jmenovatel"] = 37 },
["render"] = "\\frac{7596}{37}",
["typ"] = "cislo" },
["tex"] = "205\\frac{11}{37}",
["x"] = 205,
["y"] = 11,
["z"] = 37 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-21 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-21 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(-21 - 8)^2 - (-3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(15 + (-13))^4",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{9} - (15 + (-13))^4",
["typ"] = "minus" },
["render"] = "18 + 2\\frac{1}{9} - (15 + (-13))^4",
["typ"] = "plus" },
["render"] = "\\frac{(-21 - 8)^2 - (-3)}{18 + 2\\frac{1}{9} - (15 + (-13))^4}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.88, bodu=172, $$\frac{3\frac{3}{10}}{-14} \cdot -6 \cdot (3\frac{1}{8} - (3\frac{2}{6} + 7 + 21))=\textcolor{white}{-39\frac{501}{560}}$$return {
["body"] = 172,
["id"] = "cluBAM_0714_0104",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -39.894642857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22341,
["jmenovatel"] = 560 },
["render"] = "\\frac{-22341}{560}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{501}{560}",
["x"] = -39,
["y"] = 501,
["z"] = 560 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{10}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 7 + 21",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{6} + 7 + 21)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{8} - (3\\frac{2}{6} + 7 + 21)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - (3\\frac{2}{6} + 7 + 21))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (3\\frac{1}{8} - (3\\frac{2}{6} + 7 + 21))",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{10}}{-14} \\cdot -6 \\cdot (3\\frac{1}{8} - (3\\frac{2}{6} + 7 + 21))",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.89, bodu=200, $$(4\frac{5}{10} + (-18)) \cdot 3\frac{1}{7} \cdot ((17 - 16)^3 - 4\frac{1}{6})^2=\textcolor{white}{-425\frac{13}{28}}$$return {
["body"] = 200,
["id"] = "XhtMWY_0714_0104",
["obtiznost"] = 1.6496,
["reseni"] = {
["float"] = -425.46428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11913,
["jmenovatel"] = 28 },
["render"] = "\\frac{-107217}{252}",
["typ"] = "cislo" },
["tex"] = "-425\\frac{13}{28}",
["x"] = -425,
["y"] = 13,
["z"] = 28 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + (-18)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{10} + (-18)) \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "17 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(17 - 16)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(17 - 16)^3 - 4\\frac{1}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((17 - 16)^3 - 4\\frac{1}{6})^2",
["typ"] = "mocnina" },
["render"] = "(4\\frac{5}{10} + (-18)) \\cdot 3\\frac{1}{7} \\cdot ((17 - 16)^3 - 4\\frac{1}{6})^2",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.9, bodu=143, $$(17 + (-15 \cdot -5 - (1\frac{1}{10} - 2\frac{3}{13} + 21))) \cdot 10=\textcolor{white}{721\frac{4}{13}}$$return {
["body"] = 143,
["id"] = "LHhuwc_0714_0104",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 721.30769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9377,
["jmenovatel"] = 13 },
["render"] = "\\frac{93770}{130}",
["typ"] = "cislo" },
["tex"] = "721\\frac{4}{13}",
["x"] = 721,
["y"] = 4,
["z"] = 13 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - 2\\frac{3}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - 2\\frac{3}{13} + 21",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{10} - 2\\frac{3}{13} + 21)",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot -5 - (1\\frac{1}{10} - 2\\frac{3}{13} + 21)",
["typ"] = "minus" },
["render"] = "17 + (-15 \\cdot -5 - (1\\frac{1}{10} - 2\\frac{3}{13} + 21))",
["typ"] = "plus" },
["render"] = "(17 + (-15 \\cdot -5 - (1\\frac{1}{10} - 2\\frac{3}{13} + 21)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(17 + (-15 \\cdot -5 - (1\\frac{1}{10} - 2\\frac{3}{13} + 21))) \\cdot 10",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.91, bodu=247, $$\frac{1\frac{3}{9}}{2\frac{4}{10} - \frac{4\frac{4}{12} + 1\frac{3}{7}}{14 - 1\frac{4}{6}}}=\textcolor{white}{\frac{5180}{7509}}$$return {
["body"] = 247,
["id"] = "Ld56r7_0714_0104",
["obtiznost"] = 1.91,
["reseni"] = {
["float"] = 0.68983886003463,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5180,
["jmenovatel"] = 7509 },
["render"] = "\\frac{5180}{7509}",
["typ"] = "cislo" },
["tex"] = "\\frac{5180}{7509}",
["y"] = 5180,
["z"] = 7509 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "14 - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{12} + 1\\frac{3}{7}}{14 - 1\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{10} - \\frac{4\\frac{4}{12} + 1\\frac{3}{7}}{14 - 1\\frac{4}{6}}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{9}}{2\\frac{4}{10} - \\frac{4\\frac{4}{12} + 1\\frac{3}{7}}{14 - 1\\frac{4}{6}}}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.92, bodu=249, $$\frac{3\frac{5}{11} + (-12)}{(2\frac{2}{12} \cdot 2\frac{4}{9} + 2\frac{3}{13}) \cdot (20 + 4\frac{1}{8})}=\textcolor{white}{-\frac{131976}{2804483}}$$return {
["body"] = 249,
["id"] = "kjJeQJ_0714_0104",
["obtiznost"] = 1.92,
["reseni"] = {
["float"] = -0.04705894098841,
["objekt"] = {
["hodnota"] = {
["citatel"] = -131976,
["jmenovatel"] = 2804483 },
["render"] = "\\frac{-131976}{2804483}",
["typ"] = "cislo" },
["tex"] = "-\\frac{131976}{2804483}",
["y"] = -131976,
["z"] = 2804483 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{12} \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{12} \\cdot 2\\frac{4}{9} + 2\\frac{3}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{12} \\cdot 2\\frac{4}{9} + 2\\frac{3}{13})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "20 + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(20 + 4\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{12} \\cdot 2\\frac{4}{9} + 2\\frac{3}{13}) \\cdot (20 + 4\\frac{1}{8})",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{11} + (-12)}{(2\\frac{2}{12} \\cdot 2\\frac{4}{9} + 2\\frac{3}{13}) \\cdot (20 + 4\\frac{1}{8})}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.93, bodu=148, $$-18 \cdot (11 + 2\frac{4}{8}) + (-21) + (-12 \cdot 3\frac{4}{11} + (-19))=\textcolor{white}{-323\frac{4}{11}}$$return {
["body"] = 148,
["id"] = "G8xLxf_0714_0104",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -323.36363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3557,
["jmenovatel"] = 11 },
["render"] = "\\frac{-3557}{11}",
["typ"] = "cislo" },
["tex"] = "-323\\frac{4}{11}",
["x"] = -323,
["y"] = 4,
["z"] = 11 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (11 + 2\\frac{4}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-18 \\cdot (11 + 2\\frac{4}{8}) + (-21)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{11} + (-19)",
["typ"] = "plus" },
["render"] = "-18 \\cdot (11 + 2\\frac{4}{8}) + (-21) + (-12 \\cdot 3\\frac{4}{11} + (-19))",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.94, bodu=149, $$(\frac{1\frac{1}{7}}{13} - 2\frac{3}{8} \cdot 22) \cdot 10 \cdot -24=\textcolor{white}{12518\frac{82}{91}}$$return {
["body"] = 149,
["id"] = "BeVyh5_0714_0104",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 12518.901098901,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1139220,
["jmenovatel"] = 91 },
["render"] = "\\frac{4556880}{364}",
["typ"] = "cislo" },
["tex"] = "12518\\frac{82}{91}",
["x"] = 12518,
["y"] = 82,
["z"] = 91 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 22",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{7}}{13} - 2\\frac{3}{8} \\cdot 22",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{1}{7}}{13} - 2\\frac{3}{8} \\cdot 22)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "10 \\cdot -24",
["typ"] = "krat" },
["render"] = "(\\frac{1\\frac{1}{7}}{13} - 2\\frac{3}{8} \\cdot 22) \\cdot 10 \\cdot -24",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.95, bodu=151, $$\frac{-14}{1\frac{3}{10}} \cdot \frac{14 \cdot 23}{3\frac{2}{10} + 15}=\textcolor{white}{-190\frac{90}{169}}$$return {
["body"] = 151,
["id"] = "mACOfL_0714_0104",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -190.5325443787,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32200,
["jmenovatel"] = 169 },
["render"] = "\\frac{-32200}{169}",
["typ"] = "cislo" },
["tex"] = "-190\\frac{90}{169}",
["x"] = -190,
["y"] = 90,
["z"] = 169 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "14 \\cdot 23",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} + 15",
["typ"] = "plus" },
["render"] = "\\frac{14 \\cdot 23}{3\\frac{2}{10} + 15}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{1\\frac{3}{10}} \\cdot \\frac{14 \\cdot 23}{3\\frac{2}{10} + 15}",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.96, bodu=220, $$2\frac{5}{7} \cdot 2\frac{2}{8} + 20 \cdot (4\frac{1}{5} + \frac{1\frac{5}{9}}{-9})=\textcolor{white}{86\frac{1475}{2268}}$$return {
["body"] = 220,
["id"] = "SdbOj6_0714_0104",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 86.650352733686,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196523,
["jmenovatel"] = 2268 },
["render"] = "\\frac{196523}{2268}",
["typ"] = "cislo" },
["tex"] = "86\\frac{1475}{2268}",
["x"] = 86,
["y"] = 1475,
["z"] = 2268 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-9}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{5} + \\frac{1\\frac{5}{9}}{-9}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{5} + \\frac{1\\frac{5}{9}}{-9})",
["typ"] = "zavorka" },
["render"] = "20 \\cdot (4\\frac{1}{5} + \\frac{1\\frac{5}{9}}{-9})",
["typ"] = "krat" },
["render"] = "2\\frac{5}{7} \\cdot 2\\frac{2}{8} + 20 \\cdot (4\\frac{1}{5} + \\frac{1\\frac{5}{9}}{-9})",
["typ"] = "plus" } }
seed: lWcNN2U78PfZtAg0XrwN_0.97, bodu=123, $$(\frac{-15}{4\frac{1}{12}} + (-12 + 11 - (-19)) \cdot 8) \cdot -18=\textcolor{white}{-2525\frac{43}{49}}$$return {
["body"] = 123,
["id"] = "dRLSCU_0714_0104",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -2525.8775510204,
["objekt"] = {
["hodnota"] = {
["citatel"] = -123768,
["jmenovatel"] = 49 },
["render"] = "\\frac{-123768}{49}",
["typ"] = "cislo" },
["tex"] = "-2525\\frac{43}{49}",
["x"] = -2525,
["y"] = 43,
["z"] = 49 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 12 },
["render"] = "4\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{4\\frac{1}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "11 - (-19)",
["typ"] = "minus" },
["render"] = "-12 + 11 - (-19)",
["typ"] = "plus" },
["render"] = "(-12 + 11 - (-19))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-12 + 11 - (-19)) \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-15}{4\\frac{1}{12}} + (-12 + 11 - (-19)) \\cdot 8",
["typ"] = "plus" },
["render"] = "(\\frac{-15}{4\\frac{1}{12}} + (-12 + 11 - (-19)) \\cdot 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(\\frac{-15}{4\\frac{1}{12}} + (-12 + 11 - (-19)) \\cdot 8) \\cdot -18",
["typ"] = "krat" } }
seed: lWcNN2U78PfZtAg0XrwN_0.98, bodu=155, $$\frac{18 \cdot -9 + (-8 + (-17))}{4\frac{4}{10} + (-8 \cdot 1\frac{5}{8})}=\textcolor{white}{21\frac{32}{43}}$$return {
["body"] = 155,
["id"] = "l9mzJo_0714_0104",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 21.744186046512,
["objekt"] = {
["hodnota"] = {
["citatel"] = 935,
["jmenovatel"] = 43 },
["render"] = "\\frac{-935}{-43}",
["typ"] = "cislo" },
["tex"] = "21\\frac{32}{43}",
["x"] = 21,
["y"] = 32,
["z"] = 43 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "18 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-8 + (-17)",
["typ"] = "plus" },
["render"] = "18 \\cdot -9 + (-8 + (-17))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{10} + (-8 \\cdot 1\\frac{5}{8})",
["typ"] = "plus" },
["render"] = "\\frac{18 \\cdot -9 + (-8 + (-17))}{4\\frac{4}{10} + (-8 \\cdot 1\\frac{5}{8})}",
["typ"] = "lomeno" } }
seed: lWcNN2U78PfZtAg0XrwN_0.99, bodu=270, $$(1\frac{1}{4} + 1\frac{3}{8} - (5 - 2\frac{1}{6}))^2 - (-21 \cdot -12 - 2\frac{2}{10})=\textcolor{white}{-249\frac{2179}{2880}}$$return {
["body"] = 270,
["id"] = "JhSjWW_0714_0104",
["obtiznost"] = 2.0304,
["reseni"] = {
["float"] = -249.75659722222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -719299,
["jmenovatel"] = 2880 },
["render"] = "\\frac{-719299}{2880}",
["typ"] = "cislo" },
["tex"] = "-249\\frac{2179}{2880}",
["x"] = -249,
["y"] = 2179,
["z"] = 2880 },
["seed"] = "lWcNN2U78PfZtAg0XrwN_0.99",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "5 - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(5 - 2\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{4} + 1\\frac{3}{8} - (5 - 2\\frac{1}{6})",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{4} + 1\\frac{3}{8} - (5 - 2\\frac{1}{6}))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -12 - 2\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(-21 \\cdot -12 - 2\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{1}{4} + 1\\frac{3}{8} - (5 - 2\\frac{1}{6}))^2 - (-21 \\cdot -12 - 2\\frac{2}{10})",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
bounce1.gif: 
celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 