- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: d8I8LOIhyN7cpfs6cvjQ_0, bodu=17, $$(\frac{5 - 9}{8 \cdot 11})^2=\textcolor{white}{\frac{1}{484}}$$return {
["body"] = 17,
["id"] = "T4bTme_0228_0034",
["obtiznost"] = 0.194,
["reseni"] = {
["float"] = 0.0020661157024793,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 484 },
["render"] = "\\frac{1}{484}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{484}",
["y"] = 1,
["z"] = 484 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{5 - 9}{8 \\cdot 11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5 - 9}{8 \\cdot 11})^2",
["typ"] = "mocnina" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.01, bodu=29, $$\frac{7}{(\frac{5}{-4})^4}=\textcolor{white}{2\frac{542}{625}}$$return {
["body"] = 29,
["id"] = "yweZjd_0228_0034",
["obtiznost"] = 0.3624,
["reseni"] = {
["float"] = 2.8672,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1792,
["jmenovatel"] = 625 },
["render"] = "\\frac{1792}{625}",
["typ"] = "cislo" },
["tex"] = "2\\frac{542}{625}",
["x"] = 2,
["y"] = 542,
["z"] = 625 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{-4})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(\\frac{5}{-4})^4}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.02, bodu=5, $$7 - (5 + (-6) + 7)^2 - (-8)=\textcolor{white}{-21}$$return {
["body"] = 5,
["id"] = "HHr1Xa_0228_0034",
["obtiznost"] = 0.0348,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "\\frac{-21}{1}",
["typ"] = "cislo" },
["tex"] = "-21",
["tex_float"] = "-21",
["x"] = -21 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + (-6) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + (-6) + 7)^2",
["typ"] = "mocnina" },
["render"] = "7 - (5 + (-6) + 7)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 - (5 + (-6) + 7)^2 - (-8)",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.03, bodu=5, $$6 + (7 - 9)^4 - 9=\textcolor{white}{13}$$return {
["body"] = 5,
["id"] = "HB1apw_0228_0034",
["obtiznost"] = 0.0368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{13}{1}",
["typ"] = "cislo" },
["tex"] = "13",
["tex_float"] = "13",
["x"] = 13 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(7 - 9)^4 - 9",
["typ"] = "minus" },
["render"] = "6 + (7 - 9)^4 - 9",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.04, bodu=10, $$\frac{11}{9} \cdot 6=\textcolor{white}{7\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "al39eQ_0228_0034",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 7.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 3 },
["render"] = "\\frac{66}{9}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{3}",
["x"] = 7,
["y"] = 1,
["z"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{9} \\cdot 6",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.05, bodu=11, $$(\frac{(6 + (-7))^2 \cdot 7}{7})^4=\textcolor{white}{1}$$return {
["body"] = 11,
["id"] = "opgLiu_0228_0034",
["obtiznost"] = 0.0516,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(6 + (-7))^2 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(6 + (-7))^2 \\cdot 7}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(6 + (-7))^2 \\cdot 7}{7})^4",
["typ"] = "mocnina" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.06, bodu=11, $$\frac{10 - 8}{8 + 6}=\textcolor{white}{\frac{1}{7}}$$return {
["body"] = 11,
["id"] = "c3mrPK_0228_0034",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 0.14285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 7 },
["render"] = "\\frac{2}{14}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{7}",
["y"] = 1,
["z"] = 7 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["render"] = "\\frac{10 - 8}{8 + 6}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.07, bodu=11, $$(\frac{9}{7} + 5) \cdot 9=\textcolor{white}{56\frac{4}{7}}$$return {
["body"] = 11,
["id"] = "IbyjDX_0228_0034",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 56.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 396,
["jmenovatel"] = 7 },
["render"] = "\\frac{396}{7}",
["typ"] = "cislo" },
["tex"] = "56\\frac{4}{7}",
["x"] = 56,
["y"] = 4,
["z"] = 7 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{9}{7} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{7} + 5) \\cdot 9",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.08, bodu=12, $$\frac{5 + 6}{8} \cdot -7=\textcolor{white}{-9{,}625}$$return {
["body"] = 12,
["id"] = "5rxP1O_0228_0034",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -9.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 8 },
["render"] = "\\frac{-77}{8}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{5}{8}",
["tex_float"] = "-9{,}625",
["x"] = -9,
["y"] = 5,
["z"] = 8 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5 + 6}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{5 + 6}{8} \\cdot -7",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.09, bodu=8, $$(9 + 5 - 8)^3 - (-6)=\textcolor{white}{222}$$return {
["body"] = 8,
["id"] = "o6iXGw_0228_0034",
["obtiznost"] = 0.1768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 222,
["jmenovatel"] = 1 },
["render"] = "\\frac{222}{1}",
["typ"] = "cislo" },
["tex"] = "222",
["tex_float"] = "222",
["x"] = 222 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["render"] = "9 + 5 - 8",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + 5 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(9 + 5 - 8)^3 - (-6)",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.1, bodu=12, $$\frac{10}{9} \cdot 3=\textcolor{white}{3\frac{1}{3}}$$return {
["body"] = 12,
["id"] = "J6i3dS_0228_0034",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "\\frac{30}{9}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{3}",
["x"] = 3,
["y"] = 1,
["z"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9} \\cdot 3",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.11, bodu=13, $$8 - ((\frac{5}{5})^4 - 7)=\textcolor{white}{14}$$return {
["body"] = 13,
["id"] = "AGJkWP_0228_0034",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{5})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{5})^4 - 7",
["typ"] = "minus" },
["render"] = "((\\frac{5}{5})^4 - 7)",
["typ"] = "zavorka" },
["render"] = "8 - ((\\frac{5}{5})^4 - 7)",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.12, bodu=26, $$\frac{10}{\frac{4\frac{5}{8}}{9}}=\textcolor{white}{19\frac{17}{37}}$$return {
["body"] = 26,
["id"] = "lerpee_0228_0034",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 19.459459459459,
["objekt"] = {
["hodnota"] = {
["citatel"] = 720,
["jmenovatel"] = 37 },
["render"] = "\\frac{720}{37}",
["typ"] = "cislo" },
["tex"] = "19\\frac{17}{37}",
["x"] = 19,
["y"] = 17,
["z"] = 37 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{4\\frac{5}{8}}{9}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.13, bodu=7, $$(-6 + 8) \cdot (3 + 6)=\textcolor{white}{18}$$return {
["body"] = 7,
["id"] = "hfx0vG_0228_0034",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["x"] = 18 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(-6 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 + 6",
["typ"] = "plus" },
["render"] = "(3 + 6)",
["typ"] = "zavorka" },
["render"] = "(-6 + 8) \\cdot (3 + 6)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.14, bodu=16, $$\frac{-2}{7} - (10 - 7)^4=\textcolor{white}{-81\frac{2}{7}}$$return {
["body"] = 16,
["id"] = "H2sCQs_0228_0034",
["obtiznost"] = 0.1728,
["reseni"] = {
["float"] = -81.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -569,
["jmenovatel"] = 7 },
["render"] = "\\frac{-569}{7}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{2}{7}",
["x"] = -81,
["y"] = 2,
["z"] = 7 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{7}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 7)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-2}{7} - (10 - 7)^4",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.15, bodu=15, $$8 + (3 - (-5 + (-8)) + 8)^2=\textcolor{white}{584}$$return {
["body"] = 15,
["id"] = "WDcP3w_0228_0034",
["obtiznost"] = 0.3808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 584,
["jmenovatel"] = 1 },
["render"] = "\\frac{584}{1}",
["typ"] = "cislo" },
["tex"] = "584",
["x"] = 584 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-5 + (-8)",
["typ"] = "plus" },
["render"] = "(-5 + (-8))",
["typ"] = "zavorka" },
["render"] = "3 - (-5 + (-8))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - (-5 + (-8)) + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 - (-5 + (-8)) + 8)^2",
["typ"] = "mocnina" },
["render"] = "8 + (3 - (-5 + (-8)) + 8)^2",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.16, bodu=15, $$\frac{5}{\frac{-10}{-6}}=\textcolor{white}{3}$$return {
["body"] = 15,
["id"] = "oXJU1O_0228_0034",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{15}{5}",
["typ"] = "cislo" },
["tex"] = "3",
["x"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-10}{-6}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.17, bodu=16, $$-6 - (\frac{7}{-9} + 4)=\textcolor{white}{-9\frac{2}{9}}$$return {
["body"] = 16,
["id"] = "daKfM3_0228_0034",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -9.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83,
["jmenovatel"] = 9 },
["render"] = "\\frac{-83}{9}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{2}{9}",
["x"] = -9,
["y"] = 2,
["z"] = 9 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9} + 4",
["typ"] = "plus" },
["render"] = "(\\frac{7}{-9} + 4)",
["typ"] = "zavorka" },
["render"] = "-6 - (\\frac{7}{-9} + 4)",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.18, bodu=16, $$\frac{8}{8} + 8 - 6=\textcolor{white}{3}$$return {
["body"] = 16,
["id"] = "GDywCA_0228_0034",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{1}",
["typ"] = "cislo" },
["tex"] = "3",
["x"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8} + 8 - 6",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.19, bodu=17, $$\frac{-7}{-9 \cdot -8}=\textcolor{white}{-\frac{7}{72}}$$return {
["body"] = 17,
["id"] = "fThFyn_0228_0034",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -0.097222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 72 },
["render"] = "\\frac{-7}{72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{72}",
["y"] = -7,
["z"] = 72 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{-7}{-9 \\cdot -8}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.2, bodu=18, $$\frac{\frac{9}{6} + 9}{13}=\textcolor{white}{\frac{21}{26}}$$return {
["body"] = 18,
["id"] = "sM8D3d_0228_0034",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 0.80769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 26 },
["render"] = "\\frac{21}{26}",
["typ"] = "cislo" },
["tex"] = "\\frac{21}{26}",
["y"] = 21,
["z"] = 26 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{6} + 9}{13}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.21, bodu=79, $$\frac{((-8 + 7)^3 - 8)^3}{(4\frac{1}{6} + 7 + (-12))^3}=\textcolor{white}{1259{,}712}$$return {
["body"] = 79,
["id"] = "LAfx9H_0228_0034",
["obtiznost"] = 0.8392,
["reseni"] = {
["float"] = 1259.712,
["objekt"] = {
["hodnota"] = {
["citatel"] = 157464,
["jmenovatel"] = 125 },
["render"] = "\\frac{-157464}{-125}",
["typ"] = "cislo" },
["tex"] = "1259\\frac{89}{125}",
["tex_float"] = "1259{,}712",
["x"] = 1259,
["y"] = 89,
["z"] = 125 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 + 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-8 + 7)^3 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "((-8 + 7)^3 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 7 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{1}{6} + 7 + (-12))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{((-8 + 7)^3 - 8)^3}{(4\\frac{1}{6} + 7 + (-12))^3}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.22, bodu=19, $$\frac{5}{8} \cdot (9 + 9)=\textcolor{white}{11{,}25}$$return {
["body"] = 19,
["id"] = "IJ6Q7J_0228_0034",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 11.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 4 },
["render"] = "\\frac{90}{8}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{4}",
["tex_float"] = "11{,}25",
["x"] = 11,
["y"] = 1,
["z"] = 4 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(9 + 9)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{8} \\cdot (9 + 9)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.23, bodu=10, $$6 + 8 + (6 - 8)^3 - 13=\textcolor{white}{-7}$$return {
["body"] = 10,
["id"] = "n39GlD_0228_0034",
["obtiznost"] = 0.2336,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-7}{1}",
["typ"] = "cislo" },
["tex"] = "-7",
["x"] = -7 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.23",
["zadani"] = {
["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"] = "plus" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(6 - 8)^3 - 13",
["typ"] = "minus" },
["render"] = "6 + 8 + (6 - 8)^3 - 13",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.24, bodu=10, $$(13 \cdot -7 - 10) \cdot 6=\textcolor{white}{-606}$$return {
["body"] = 10,
["id"] = "Zh5OlE_0228_0034",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -606,
["jmenovatel"] = 1 },
["render"] = "\\frac{-606}{1}",
["typ"] = "cislo" },
["tex"] = "-606",
["x"] = -606 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.24",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 \\cdot -7 - 10",
["typ"] = "minus" },
["render"] = "(13 \\cdot -7 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(13 \\cdot -7 - 10) \\cdot 6",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.25, bodu=37, $$(4\frac{1}{4} + (-10 - 14 - 10)) \cdot 13=\textcolor{white}{-386{,}75}$$return {
["body"] = 37,
["id"] = "tZplwQ_0228_0034",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -386.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1547,
["jmenovatel"] = 4 },
["render"] = "\\frac{-1547}{4}",
["typ"] = "cislo" },
["tex"] = "-386\\frac{3}{4}",
["tex_float"] = "-386{,}75",
["x"] = -386,
["y"] = 3,
["z"] = 4 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 - 14 - 10",
["typ"] = "minus" },
["render"] = "4\\frac{1}{4} + (-10 - 14 - 10)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + (-10 - 14 - 10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{4} + (-10 - 14 - 10)) \\cdot 13",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.26, bodu=21, $$\frac{11 \cdot 7 \cdot 13}{10}=\textcolor{white}{100{,}1}$$return {
["body"] = 21,
["id"] = "w6RwRp_0228_0034",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 100.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1001,
["jmenovatel"] = 10 },
["render"] = "\\frac{1001}{10}",
["typ"] = "cislo" },
["tex"] = "100\\frac{1}{10}",
["tex_float"] = "100{,}1",
["x"] = 100,
["y"] = 1,
["z"] = 10 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 \\cdot 7 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 7 \\cdot 13}{10}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.27, bodu=59, $$8 - 1\frac{1}{4} - (4\frac{5}{9} + 11 + 10)=\textcolor{white}{-18\frac{29}{36}}$$return {
["body"] = 59,
["id"] = "PU88O2_0228_0034",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -18.805555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -677,
["jmenovatel"] = 36 },
["render"] = "\\frac{-677}{36}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{29}{36}",
["x"] = -18,
["y"] = 29,
["z"] = 36 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "8 - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 11 + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + 11 + 10)",
["typ"] = "zavorka" },
["render"] = "8 - 1\\frac{1}{4} - (4\\frac{5}{9} + 11 + 10)",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.28, bodu=63, $$\frac{12}{8 + (\frac{11}{4\frac{3}{6}})^2}=\textcolor{white}{\frac{243}{283}}$$return {
["body"] = 63,
["id"] = "Eer6OO_0228_0034",
["obtiznost"] = 0.706,
["reseni"] = {
["float"] = 0.85865724381625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 283 },
["render"] = "\\frac{972}{1132}",
["typ"] = "cislo" },
["tex"] = "\\frac{243}{283}",
["y"] = 243,
["z"] = 283 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{4\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["render"] = "8 + (\\frac{11}{4\\frac{3}{6}})^2",
["typ"] = "plus" },
["render"] = "\\frac{12}{8 + (\\frac{11}{4\\frac{3}{6}})^2}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.29, bodu=24, $$4 - \frac{\frac{13}{-8}}{7}=\textcolor{white}{4\frac{13}{56}}$$return {
["body"] = 24,
["id"] = "9lWW6l_0228_0034",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 4.2321428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 237,
["jmenovatel"] = 56 },
["render"] = "\\frac{237}{56}",
["typ"] = "cislo" },
["tex"] = "4\\frac{13}{56}",
["x"] = 4,
["y"] = 13,
["z"] = 56 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{-8}}{7}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{\\frac{13}{-8}}{7}",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.3, bodu=12, $$(9 - 7)^3 \cdot 10 \cdot -12=\textcolor{white}{-960}$$return {
["body"] = 12,
["id"] = "ptn8Qe_0228_0034",
["obtiznost"] = 0.3036,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -960,
["jmenovatel"] = 1 },
["render"] = "\\frac{-960}{1}",
["typ"] = "cislo" },
["tex"] = "-960",
["x"] = -960 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["render"] = "(9 - 7)^3 \\cdot 10 \\cdot -12",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.31, bodu=12, $$-7 \cdot 10 \cdot 9 - 8=\textcolor{white}{-638}$$return {
["body"] = 12,
["id"] = "BvezZ9_0228_0034",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -638,
["jmenovatel"] = 1 },
["render"] = "\\frac{-638}{1}",
["typ"] = "cislo" },
["tex"] = "-638",
["tex_float"] = "-638",
["x"] = -638 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["render"] = "-7 \\cdot 10 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 10 \\cdot 9 - 8",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.32, bodu=13, $$-3 \cdot -11 \cdot (7 - 12)=\textcolor{white}{-165}$$return {
["body"] = 13,
["id"] = "DsKYsS_0228_0034",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 1 },
["render"] = "\\frac{-165}{1}",
["typ"] = "cislo" },
["tex"] = "-165",
["tex_float"] = "-165",
["x"] = -165 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-3 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 - 12",
["typ"] = "minus" },
["render"] = "(7 - 12)",
["typ"] = "zavorka" },
["render"] = "-3 \\cdot -11 \\cdot (7 - 12)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.33, bodu=19, $$10 + 7 - (3 - 10)^3 - 10=\textcolor{white}{350}$$return {
["body"] = 19,
["id"] = "FuPy9q_0228_0034",
["obtiznost"] = 0.4676,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 350,
["jmenovatel"] = 1 },
["render"] = "\\frac{350}{1}",
["typ"] = "cislo" },
["tex"] = "350",
["x"] = 350 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 10)^3",
["typ"] = "mocnina" },
["render"] = "7 - (3 - 10)^3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - (3 - 10)^3 - 10",
["typ"] = "minus" },
["render"] = "10 + 7 - (3 - 10)^3 - 10",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.34, bodu=31, $$\frac{(11 - (-10) + (-10))^2 + 2\frac{5}{5}}{9}=\textcolor{white}{13\frac{7}{9}}$$return {
["body"] = 31,
["id"] = "V7htxr_0228_0034",
["obtiznost"] = 0.3888,
["reseni"] = {
["float"] = 13.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 124,
["jmenovatel"] = 9 },
["render"] = "\\frac{124}{9}",
["typ"] = "cislo" },
["tex"] = "13\\frac{7}{9}",
["x"] = 13,
["y"] = 7,
["z"] = 9 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 - (-10) + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 - (-10) + (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "(11 - (-10) + (-10))^2 + 2\\frac{5}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(11 - (-10) + (-10))^2 + 2\\frac{5}{5}}{9}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.35, bodu=28, $$(9 + 11) \cdot \frac{-9 - (-14)}{6}=\textcolor{white}{16\frac{2}{3}}$$return {
["body"] = 28,
["id"] = "exubci_0228_0034",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 16.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 3 },
["render"] = "\\frac{100}{6}",
["typ"] = "cislo" },
["tex"] = "16\\frac{2}{3}",
["x"] = 16,
["y"] = 2,
["z"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["render"] = "(9 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-9 - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (-14)}{6}",
["typ"] = "lomeno" },
["render"] = "(9 + 11) \\cdot \\frac{-9 - (-14)}{6}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.36, bodu=14, $$-7 \cdot 7 \cdot 7 + 4=\textcolor{white}{-339}$$return {
["body"] = 14,
["id"] = "S9PLB7_0228_0034",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -339,
["jmenovatel"] = 1 },
["render"] = "\\frac{-339}{1}",
["typ"] = "cislo" },
["tex"] = "-339",
["x"] = -339 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "-7 \\cdot 7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7 \\cdot 7 + 4",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.37, bodu=30, $$\frac{14}{3} + (-6 + 8 + 8)=\textcolor{white}{14\frac{2}{3}}$$return {
["body"] = 30,
["id"] = "H6fqOq_0228_0034",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 14.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 3 },
["render"] = "\\frac{44}{3}",
["typ"] = "cislo" },
["tex"] = "14\\frac{2}{3}",
["x"] = 14,
["y"] = 2,
["z"] = 3 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 + 8 + 8",
["typ"] = "plus" },
["render"] = "\\frac{14}{3} + (-6 + 8 + 8)",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.38, bodu=71, $$\frac{-9 - (-5 \cdot 3\frac{3}{7})}{2\frac{4}{8}}=\textcolor{white}{3\frac{9}{35}}$$return {
["body"] = 71,
["id"] = "bisLeU_0228_0034",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 3.2571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 114,
["jmenovatel"] = 35 },
["render"] = "\\frac{114}{35}",
["typ"] = "cislo" },
["tex"] = "3\\frac{9}{35}",
["x"] = 3,
["y"] = 9,
["z"] = 35 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "-9 - (-5 \\cdot 3\\frac{3}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (-5 \\cdot 3\\frac{3}{7})}{2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.39, bodu=15, $$-15 \cdot 10 - (6 - (-9 + 12))=\textcolor{white}{-153}$$return {
["body"] = 15,
["id"] = "UY2EF6_0228_0034",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 1 },
["render"] = "\\frac{-153}{1}",
["typ"] = "cislo" },
["tex"] = "-153",
["tex_float"] = "-153",
["x"] = -153 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 + 12",
["typ"] = "plus" },
["render"] = "(-9 + 12)",
["typ"] = "zavorka" },
["render"] = "6 - (-9 + 12)",
["typ"] = "minus" },
["render"] = "(6 - (-9 + 12))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot 10 - (6 - (-9 + 12))",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.4, bodu=100, $$(1\frac{4}{11} - 6) \cdot 4\frac{3}{7} \cdot \frac{13}{3\frac{5}{10}}=\textcolor{white}{-76\frac{142}{539}}$$return {
["body"] = 100,
["id"] = "kx5Cxy_0228_0034",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -76.263450834879,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41106,
["jmenovatel"] = 539 },
["render"] = "\\frac{-41106}{539}",
["typ"] = "cislo" },
["tex"] = "-76\\frac{142}{539}",
["x"] = -76,
["y"] = 142,
["z"] = 539 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.4",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} - 6",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{11} - 6)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{7} \\cdot \\frac{13}{3\\frac{5}{10}}",
["typ"] = "krat" },
["render"] = "(1\\frac{4}{11} - 6) \\cdot 4\\frac{3}{7} \\cdot \\frac{13}{3\\frac{5}{10}}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.41, bodu=16, $$9 \cdot 17 \cdot 11 \cdot -12=\textcolor{white}{-20196}$$return {
["body"] = 16,
["id"] = "3R2paa_0228_0034",
["obtiznost"] = 0.41,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20196,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20196}{1}",
["typ"] = "cislo" },
["tex"] = "-20196",
["tex_float"] = "-20196",
["x"] = -20196 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "17 \\cdot 11",
["typ"] = "krat" },
["render"] = "9 \\cdot 17 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 17 \\cdot 11 \\cdot -12",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.42, bodu=94, $$(\frac{\frac{-12}{12} - \frac{11}{1\frac{4}{7}}}{7})^3=\textcolor{white}{-1\frac{169}{343}}$$return {
["body"] = 94,
["id"] = "x8YBDT_0228_0034",
["obtiznost"] = 0.962,
["reseni"] = {
["float"] = -1.4927113702624,
["objekt"] = {
["hodnota"] = {
["citatel"] = -512,
["jmenovatel"] = 343 },
["render"] = "\\frac{-512}{343}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{169}{343}",
["x"] = -1,
["y"] = 169,
["z"] = 343 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.42",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{12} - \\frac{11}{1\\frac{4}{7}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-12}{12} - \\frac{11}{1\\frac{4}{7}}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{\\frac{-12}{12} - \\frac{11}{1\\frac{4}{7}}}{7})^3",
["typ"] = "mocnina" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.43, bodu=35, $$6 \cdot -9 \cdot \frac{13}{-5}=\textcolor{white}{140{,}4}$$return {
["body"] = 35,
["id"] = "QNUSno_0228_0034",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 140.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 702,
["jmenovatel"] = 5 },
["render"] = "\\frac{702}{5}",
["typ"] = "cislo" },
["tex"] = "140\\frac{2}{5}",
["tex_float"] = "140{,}4",
["x"] = 140,
["y"] = 2,
["z"] = 5 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-5}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{13}{-5}",
["typ"] = "krat" },
["render"] = "6 \\cdot -9 \\cdot \\frac{13}{-5}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.44, bodu=36, $$9 \cdot 9 \cdot \frac{12}{11}=\textcolor{white}{88\frac{4}{11}}$$return {
["body"] = 36,
["id"] = "lElXSh_0228_0034",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 88.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 972,
["jmenovatel"] = 11 },
["render"] = "\\frac{972}{11}",
["typ"] = "cislo" },
["tex"] = "88\\frac{4}{11}",
["x"] = 88,
["y"] = 4,
["z"] = 11 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{11}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{12}{11}",
["typ"] = "krat" },
["render"] = "9 \\cdot 9 \\cdot \\frac{12}{11}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.45, bodu=59, $$\frac{13}{10} \cdot (2\frac{2}{10} - (15 - 8)^2)=\textcolor{white}{-60{,}84}$$return {
["body"] = 59,
["id"] = "b6tkO6_0228_0034",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -60.84,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1521,
["jmenovatel"] = 25 },
["render"] = "\\frac{-3042}{50}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{21}{25}",
["tex_float"] = "-60{,}84",
["x"] = -60,
["y"] = 21,
["z"] = 25 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - 8)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{10} - (15 - 8)^2",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{10} - (15 - 8)^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{10} \\cdot (2\\frac{2}{10} - (15 - 8)^2)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.46, bodu=88, $$(11 - \frac{-7}{-8} - (1\frac{5}{12} + 9))^2=\textcolor{white}{\frac{49}{576}}$$return {
["body"] = 88,
["id"] = "5Lsec1_0228_0034",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 0.085069444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 576 },
["render"] = "\\frac{49}{576}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{576}",
["y"] = 49,
["z"] = 576 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.46",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-8}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{-7}{-8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + 9",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + 9)",
["typ"] = "zavorka" },
["render"] = "11 - \\frac{-7}{-8} - (1\\frac{5}{12} + 9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - \\frac{-7}{-8} - (1\\frac{5}{12} + 9))^2",
["typ"] = "mocnina" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.47, bodu=110, $$-14 - \frac{4}{-11 + (2\frac{2}{4} + 9 - 3\frac{5}{10})^3}=\textcolor{white}{-14\frac{4}{501}}$$return {
["body"] = 110,
["id"] = "FAopAK_0228_0034",
["obtiznost"] = 1.0752,
["reseni"] = {
["float"] = -14.007984031936,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7018,
["jmenovatel"] = 501 },
["render"] = "\\frac{-7018}{501}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{4}{501}",
["x"] = -14,
["y"] = 4,
["z"] = 501 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 9 - 3\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{4} + 9 - 3\\frac{5}{10})^3",
["typ"] = "mocnina" },
["render"] = "-11 + (2\\frac{2}{4} + 9 - 3\\frac{5}{10})^3",
["typ"] = "plus" },
["render"] = "\\frac{4}{-11 + (2\\frac{2}{4} + 9 - 3\\frac{5}{10})^3}",
["typ"] = "lomeno" },
["render"] = "-14 - \\frac{4}{-11 + (2\\frac{2}{4} + 9 - 3\\frac{5}{10})^3}",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.48, bodu=60, $$\frac{2\frac{5}{11} + (-15)}{10 \cdot 11} - 11=\textcolor{white}{-11\frac{69}{605}}$$return {
["body"] = 60,
["id"] = "YHWxzK_0228_0034",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -11.114049586777,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6724,
["jmenovatel"] = 605 },
["render"] = "\\frac{-6724}{605}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{69}{605}",
["x"] = -11,
["y"] = 69,
["z"] = 605 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{5}{11} + (-15)}{10 \\cdot 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11} + (-15)}{10 \\cdot 11} - 11",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.49, bodu=85, $$\frac{2\frac{5}{10} \cdot -10 - 13 + 7}{3\frac{4}{6}}=\textcolor{white}{-8\frac{5}{11}}$$return {
["body"] = 85,
["id"] = "DBI29t_0228_0034",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -8.4545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -93,
["jmenovatel"] = 11 },
["render"] = "\\frac{-93}{11}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5}{11}",
["x"] = -8,
["y"] = 5,
["z"] = 11 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot -10 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot -10 - 13 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10} \\cdot -10 - 13 + 7}{3\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.5, bodu=106, $$-14 \cdot \frac{14}{2\frac{2}{8}} + (3\frac{3}{6} - 13)^2=\textcolor{white}{3\frac{5}{36}}$$return {
["body"] = 106,
["id"] = "Ea7mSY_0228_0034",
["obtiznost"] = 1.046,
["reseni"] = {
["float"] = 3.1388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 36 },
["render"] = "\\frac{113}{36}",
["typ"] = "cislo" },
["tex"] = "3\\frac{5}{36}",
["x"] = 3,
["y"] = 5,
["z"] = 36 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{14}{2\\frac{2}{8}}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{6} - 13)^2",
["typ"] = "mocnina" },
["render"] = "-14 \\cdot \\frac{14}{2\\frac{2}{8}} + (3\\frac{3}{6} - 13)^2",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.51, bodu=63, $$2\frac{1}{5} \cdot (13 + 9 + 12 \cdot -7)=\textcolor{white}{-136{,}4}$$return {
["body"] = 63,
["id"] = "qxVBpF_0228_0034",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -136.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -682,
["jmenovatel"] = 5 },
["render"] = "\\frac{-682}{5}",
["typ"] = "cislo" },
["tex"] = "-136\\frac{2}{5}",
["tex_float"] = "-136{,}4",
["x"] = -136,
["y"] = 2,
["z"] = 5 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 \\cdot -7",
["typ"] = "krat" },
["render"] = "9 + 12 \\cdot -7",
["typ"] = "plus" },
["render"] = "13 + 9 + 12 \\cdot -7",
["typ"] = "plus" },
["render"] = "(13 + 9 + 12 \\cdot -7)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} \\cdot (13 + 9 + 12 \\cdot -7)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.52, bodu=89, $$14 + 8 + \frac{2\frac{1}{5}}{\frac{4\frac{2}{6}}{-6}}=\textcolor{white}{18\frac{62}{65}}$$return {
["body"] = 89,
["id"] = "aluHmY_0228_0034",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 18.953846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1232,
["jmenovatel"] = 65 },
["render"] = "\\frac{1232}{65}",
["typ"] = "cislo" },
["tex"] = "18\\frac{62}{65}",
["x"] = 18,
["y"] = 62,
["z"] = 65 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "14 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{5}}{\\frac{4\\frac{2}{6}}{-6}}",
["typ"] = "lomeno" },
["render"] = "14 + 8 + \\frac{2\\frac{1}{5}}{\\frac{4\\frac{2}{6}}{-6}}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.53, bodu=44, $$-6 \cdot (-15 - \frac{10}{13}) \cdot -10=\textcolor{white}{-946\frac{2}{13}}$$return {
["body"] = 44,
["id"] = "V5ArcA_0228_0034",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -946.15384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12300,
["jmenovatel"] = 13 },
["render"] = "\\frac{-12300}{13}",
["typ"] = "cislo" },
["tex"] = "-946\\frac{2}{13}",
["x"] = -946,
["y"] = 2,
["z"] = 13 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{13}",
["typ"] = "lomeno" },
["render"] = "-15 - \\frac{10}{13}",
["typ"] = "minus" },
["render"] = "(-15 - \\frac{10}{13})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-15 - \\frac{10}{13})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (-15 - \\frac{10}{13}) \\cdot -10",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.54, bodu=93, $$\frac{1\frac{3}{10}}{14} - (\frac{8}{1\frac{2}{6}})^2 + (-6)=\textcolor{white}{-41\frac{127}{140}}$$return {
["body"] = 93,
["id"] = "3KvlI7_0228_0034",
["obtiznost"] = 0.9548,
["reseni"] = {
["float"] = -41.907142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5867,
["jmenovatel"] = 140 },
["render"] = "\\frac{-5867}{140}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{127}{140}",
["x"] = -41,
["y"] = 127,
["z"] = 140 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{1\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{10}}{14} - (\\frac{8}{1\\frac{2}{6}})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10}}{14} - (\\frac{8}{1\\frac{2}{6}})^2 + (-6)",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.55, bodu=151, $$2\frac{2}{7} + (12 - 11)^2 - 1\frac{1}{2} + 3\frac{5}{9} + 2\frac{1}{5}=\textcolor{white}{7\frac{341}{630}}$$return {
["body"] = 151,
["id"] = "WzsIrY_0228_0034",
["obtiznost"] = 1.3508,
["reseni"] = {
["float"] = 7.5412698412698,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4751,
["jmenovatel"] = 630 },
["render"] = "\\frac{4751}{630}",
["typ"] = "cislo" },
["tex"] = "7\\frac{341}{630}",
["x"] = 7,
["y"] = 341,
["z"] = 630 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "(12 - 11)^2 - 1\\frac{1}{2}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(12 - 11)^2 - 1\\frac{1}{2} + 3\\frac{5}{9} + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{7} + (12 - 11)^2 - 1\\frac{1}{2} + 3\\frac{5}{9} + 2\\frac{1}{5}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.56, bodu=94, $$\frac{-18}{3 + 1\frac{4}{9} - (-14 + \frac{3\frac{1}{7}}{19})}=\textcolor{white}{-\frac{10773}{10940}}$$return {
["body"] = 94,
["id"] = "6dfXmO_0228_0034",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -0.98473491773309,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10773,
["jmenovatel"] = 10940 },
["render"] = "\\frac{-21546}{21880}",
["typ"] = "cislo" },
["tex"] = "-\\frac{10773}{10940}",
["y"] = -10773,
["z"] = 10940 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3 + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7}}{19}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{3\\frac{1}{7}}{19}",
["typ"] = "plus" },
["render"] = "(-14 + \\frac{3\\frac{1}{7}}{19})",
["typ"] = "zavorka" },
["render"] = "3 + 1\\frac{4}{9} - (-14 + \\frac{3\\frac{1}{7}}{19})",
["typ"] = "minus" },
["render"] = "\\frac{-18}{3 + 1\\frac{4}{9} - (-14 + \\frac{3\\frac{1}{7}}{19})}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.57, bodu=83, $$\frac{3\frac{2}{8}}{((12 - 11) \cdot 4)^4 \cdot 6}=\textcolor{white}{\frac{13}{6144}}$$return {
["body"] = 83,
["id"] = "6icvW8_0228_0034",
["obtiznost"] = 0.8728,
["reseni"] = {
["float"] = 0.0021158854166667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6144 },
["render"] = "\\frac{13}{6144}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{6144}",
["y"] = 13,
["z"] = 6144 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 - 11",
["typ"] = "minus" },
["render"] = "(12 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(12 - 11) \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "((12 - 11) \\cdot 4)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "((12 - 11) \\cdot 4)^4 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{8}}{((12 - 11) \\cdot 4)^4 \\cdot 6}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.58, bodu=97, $$3\frac{5}{8} \cdot 3\frac{3}{7} \cdot -14 \cdot 8=\textcolor{white}{-1392}$$return {
["body"] = 97,
["id"] = "sCn0rF_0228_0034",
["obtiznost"] = 0.98,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1392,
["jmenovatel"] = 1 },
["render"] = "\\frac{-11136}{8}",
["typ"] = "cislo" },
["tex"] = "-1392",
["tex_float"] = "-1392",
["x"] = -1392 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} \\cdot -14 \\cdot 8",
["typ"] = "krat" },
["render"] = "3\\frac{5}{8} \\cdot 3\\frac{3}{7} \\cdot -14 \\cdot 8",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.59, bodu=98, $$-9 - (4\frac{4}{7} - (-15 \cdot 1\frac{2}{6})) + (-13)=\textcolor{white}{-46\frac{4}{7}}$$return {
["body"] = 98,
["id"] = "mZVwwo_0228_0034",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -46.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -326,
["jmenovatel"] = 7 },
["render"] = "\\frac{-326}{7}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{4}{7}",
["x"] = -46,
["y"] = 4,
["z"] = 7 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{7} - (-15 \\cdot 1\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} - (-15 \\cdot 1\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "-9 - (4\\frac{4}{7} - (-15 \\cdot 1\\frac{2}{6}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-9 - (4\\frac{4}{7} - (-15 \\cdot 1\\frac{2}{6})) + (-13)",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.6, bodu=159, $$2\frac{4}{11} \cdot 9 - 4\frac{4}{6} + 6 + 3\frac{2}{7} \cdot 3\frac{2}{9}=\textcolor{white}{33\frac{134}{693}}$$return {
["body"] = 159,
["id"] = "CNNWXB_0228_0034",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 33.193362193362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23003,
["jmenovatel"] = 693 },
["render"] = "\\frac{69009}{2079}",
["typ"] = "cislo" },
["tex"] = "33\\frac{134}{693}",
["x"] = 33,
["y"] = 134,
["z"] = 693 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} \\cdot 9 - 4\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "6 + 3\\frac{2}{7} \\cdot 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "2\\frac{4}{11} \\cdot 9 - 4\\frac{4}{6} + 6 + 3\\frac{2}{7} \\cdot 3\\frac{2}{9}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.61, bodu=106, $$\frac{10}{-9} + 3\frac{3}{6} + (17 + (-7))^2 - (-13) + 3\frac{3}{8}=\textcolor{white}{118\frac{55}{72}}$$return {
["body"] = 106,
["id"] = "eLvBcV_0228_0034",
["obtiznost"] = 1.0504,
["reseni"] = {
["float"] = 118.76388888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8551,
["jmenovatel"] = 72 },
["render"] = "\\frac{17102}{144}",
["typ"] = "cislo" },
["tex"] = "118\\frac{55}{72}",
["x"] = 118,
["y"] = 55,
["z"] = 72 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "17 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(17 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{6} + (17 + (-7))^2",
["typ"] = "plus" },
["render"] = "\\frac{10}{-9} + 3\\frac{3}{6} + (17 + (-7))^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9} + 3\\frac{3}{6} + (17 + (-7))^2 - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9} + 3\\frac{3}{6} + (17 + (-7))^2 - (-13) + 3\\frac{3}{8}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.62, bodu=102, $$-7 \cdot 9 \cdot 3\frac{3}{6} \cdot (3\frac{2}{7} - (-12))=\textcolor{white}{-3370{,}5}$$return {
["body"] = 102,
["id"] = "Iy5GCF_0228_0034",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -3370.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6741,
["jmenovatel"] = 2 },
["render"] = "\\frac{-47187}{14}",
["typ"] = "cislo" },
["tex"] = "-3370\\frac{1}{2}",
["tex_float"] = "-3370{,}5",
["x"] = -3370,
["y"] = 1,
["z"] = 2 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 9 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - (-12)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - (-12))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 9 \\cdot 3\\frac{3}{6} \\cdot (3\\frac{2}{7} - (-12))",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.63, bodu=134, $$4\frac{2}{9} + (-13) - 2\frac{3}{8} + (12 - (-4) + (-11))^2 + 4\frac{2}{4}=\textcolor{white}{18\frac{25}{72}}$$return {
["body"] = 134,
["id"] = "BZr92P_0228_0034",
["obtiznost"] = 1.2404,
["reseni"] = {
["float"] = 18.347222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1321,
["jmenovatel"] = 72 },
["render"] = "\\frac{2642}{144}",
["typ"] = "cislo" },
["tex"] = "18\\frac{25}{72}",
["x"] = 18,
["y"] = 25,
["z"] = 72 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + (-13) - 2\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "12 - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 - (-4) + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 - (-4) + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(12 - (-4) + (-11))^2 + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{9} + (-13) - 2\\frac{3}{8} + (12 - (-4) + (-11))^2 + 4\\frac{2}{4}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.64, bodu=105, $$4\frac{2}{5} \cdot 12 \cdot -10 \cdot \frac{-12}{1\frac{4}{11}}=\textcolor{white}{4646{,}4}$$return {
["body"] = 105,
["id"] = "ssA8HZ_0228_0034",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 4646.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23232,
["jmenovatel"] = 5 },
["render"] = "\\frac{23232}{5}",
["typ"] = "cislo" },
["tex"] = "4646\\frac{2}{5}",
["tex_float"] = "4646{,}4",
["x"] = 4646,
["y"] = 2,
["z"] = 5 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} \\cdot 12 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{5} \\cdot 12 \\cdot -10 \\cdot \\frac{-12}{1\\frac{4}{11}}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.65, bodu=57, $$\frac{15 \cdot -12}{(5 - 12) \cdot (-10 + (-9))}=\textcolor{white}{-1\frac{47}{133}}$$return {
["body"] = 57,
["id"] = "PSRbxr_0228_0034",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -1.3533834586466,
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 133 },
["render"] = "\\frac{-180}{133}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{47}{133}",
["x"] = -1,
["y"] = 47,
["z"] = 133 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "15 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 - 12",
["typ"] = "minus" },
["render"] = "(5 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 + (-9)",
["typ"] = "plus" },
["render"] = "(-10 + (-9))",
["typ"] = "zavorka" },
["render"] = "(5 - 12) \\cdot (-10 + (-9))",
["typ"] = "krat" },
["render"] = "\\frac{15 \\cdot -12}{(5 - 12) \\cdot (-10 + (-9))}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.66, bodu=137, $$15 - (-11 + 3\frac{1}{4}) - 4\frac{1}{4} \cdot 13 \cdot 2\frac{4}{6}=\textcolor{white}{-124\frac{7}{12}}$$return {
["body"] = 137,
["id"] = "L1c9Gi_0228_0034",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -124.58333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1495,
["jmenovatel"] = 12 },
["render"] = "\\frac{-1495}{12}",
["typ"] = "cislo" },
["tex"] = "-124\\frac{7}{12}",
["x"] = -124,
["y"] = 7,
["z"] = 12 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-11 + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "15 - (-11 + 3\\frac{1}{4})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{4} \\cdot 13 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "15 - (-11 + 3\\frac{1}{4}) - 4\\frac{1}{4} \\cdot 13 \\cdot 2\\frac{4}{6}",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.67, bodu=109, $$\frac{\frac{\frac{2\frac{1}{4} + (-8)}{2\frac{4}{10}}}{-16}}{11}=\textcolor{white}{\frac{115}{8448}}$$return {
["body"] = 109,
["id"] = "mblS97_0228_0034",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.013612689393939,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115,
["jmenovatel"] = 8448 },
["render"] = "\\frac{115}{8448}",
["typ"] = "cislo" },
["tex"] = "\\frac{115}{8448}",
["y"] = 115,
["z"] = 8448 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4} + (-8)}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{1}{4} + (-8)}{2\\frac{4}{10}}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{1}{4} + (-8)}{2\\frac{4}{10}}}{-16}}{11}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.68, bodu=84, $$\frac{14 \cdot (17 + 16)}{4\frac{4}{7} \cdot (-10 + 17)}=\textcolor{white}{14\frac{7}{16}}$$return {
["body"] = 84,
["id"] = "PEvrle_0228_0034",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 14.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 16 },
["render"] = "\\frac{462}{32}",
["typ"] = "cislo" },
["tex"] = "14\\frac{7}{16}",
["x"] = 14,
["y"] = 7,
["z"] = 16 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "17 + 16",
["typ"] = "plus" },
["render"] = "(17 + 16)",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (17 + 16)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-10 + 17",
["typ"] = "plus" },
["render"] = "(-10 + 17)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (-10 + 17)",
["typ"] = "krat" },
["render"] = "\\frac{14 \\cdot (17 + 16)}{4\\frac{4}{7} \\cdot (-10 + 17)}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.69, bodu=141, $$3\frac{2}{10} \cdot \frac{-15 \cdot (-20 - 4\frac{1}{3})}{2\frac{2}{8}}=\textcolor{white}{519\frac{1}{9}}$$return {
["body"] = 141,
["id"] = "U6Ngao_0228_0034",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 519.11111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4672,
["jmenovatel"] = 9 },
["render"] = "\\frac{23360}{45}",
["typ"] = "cislo" },
["tex"] = "519\\frac{1}{9}",
["x"] = 519,
["y"] = 1,
["z"] = 9 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "(-20 - 4\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (-20 - 4\\frac{1}{3})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-15 \\cdot (-20 - 4\\frac{1}{3})}{2\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{10} \\cdot \\frac{-15 \\cdot (-20 - 4\\frac{1}{3})}{2\\frac{2}{8}}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.7, bodu=31, $$10 \cdot (11 - (-15) - (-11)) \cdot (16 - 4)=\textcolor{white}{4440}$$return {
["body"] = 31,
["id"] = "pZYHju_0228_0034",
["obtiznost"] = 0.7,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4440,
["jmenovatel"] = 1 },
["render"] = "\\frac{4440}{1}",
["typ"] = "cislo" },
["tex"] = "4440",
["x"] = 4440 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 - (-15) - (-11)",
["typ"] = "minus" },
["render"] = "(11 - (-15) - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "16 - 4",
["typ"] = "minus" },
["render"] = "(16 - 4)",
["typ"] = "zavorka" },
["render"] = "(11 - (-15) - (-11)) \\cdot (16 - 4)",
["typ"] = "krat" },
["render"] = "10 \\cdot (11 - (-15) - (-11)) \\cdot (16 - 4)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.71, bodu=88, $$(3\frac{3}{8} - (-13 \cdot -7)) \cdot \frac{-14}{19}=\textcolor{white}{64\frac{43}{76}}$$return {
["body"] = 88,
["id"] = "lEyBnh_0228_0034",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 64.565789473684,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4907,
["jmenovatel"] = 76 },
["render"] = "\\frac{9814}{152}",
["typ"] = "cislo" },
["tex"] = "64\\frac{43}{76}",
["x"] = 64,
["y"] = 43,
["z"] = 76 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -7",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} - (-13 \\cdot -7)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - (-13 \\cdot -7))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{19}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{3}{8} - (-13 \\cdot -7)) \\cdot \\frac{-14}{19}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.72, bodu=146, $$(3\frac{5}{11} + 3\frac{3}{8}) \cdot 14 \cdot (-14 - \frac{4\frac{2}{6}}{14})=\textcolor{white}{-1368\frac{49}{264}}$$return {
["body"] = 146,
["id"] = "nFergM_0228_0034",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -1368.1856060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = -361201,
["jmenovatel"] = 264 },
["render"] = "\\frac{-361201}{264}",
["typ"] = "cislo" },
["tex"] = "-1368\\frac{49}{264}",
["x"] = -1368,
["y"] = 49,
["z"] = 264 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{11} + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{14}",
["typ"] = "lomeno" },
["render"] = "-14 - \\frac{4\\frac{2}{6}}{14}",
["typ"] = "minus" },
["render"] = "(-14 - \\frac{4\\frac{2}{6}}{14})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (-14 - \\frac{4\\frac{2}{6}}{14})",
["typ"] = "krat" },
["render"] = "(3\\frac{5}{11} + 3\\frac{3}{8}) \\cdot 14 \\cdot (-14 - \\frac{4\\frac{2}{6}}{14})",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.73, bodu=187, $$1\frac{4}{6} \cdot (\frac{(\frac{4\frac{3}{8}}{-8 + (-13)})^2}{2\frac{5}{12}} + (-12))=\textcolor{white}{-19\frac{4051}{4176}}$$return {
["body"] = 187,
["id"] = "oIU9n5_0228_0034",
["obtiznost"] = 1.5704,
["reseni"] = {
["float"] = -19.970067049808,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83395,
["jmenovatel"] = 4176 },
["render"] = "\\frac{-83395}{4176}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{4051}{4176}",
["x"] = -19,
["y"] = 4051,
["z"] = 4176 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-8 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{8}}{-8 + (-13)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{3}{8}}{-8 + (-13)})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4\\frac{3}{8}}{-8 + (-13)})^2}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4\\frac{3}{8}}{-8 + (-13)})^2}{2\\frac{5}{12}} + (-12)",
["typ"] = "plus" },
["render"] = "(\\frac{(\\frac{4\\frac{3}{8}}{-8 + (-13)})^2}{2\\frac{5}{12}} + (-12))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{6} \\cdot (\\frac{(\\frac{4\\frac{3}{8}}{-8 + (-13)})^2}{2\\frac{5}{12}} + (-12))",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.74, bodu=119, $$1\frac{1}{4} \cdot (-11 - (-12 + \frac{12}{11 + (-7 + 2\frac{1}{6})}))=\textcolor{white}{-1\frac{27}{148}}$$return {
["body"] = 119,
["id"] = "b0cdgx_0228_0034",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -1.1824324324324,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 148 },
["render"] = "\\frac{-175}{148}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{27}{148}",
["x"] = -1,
["y"] = 27,
["z"] = 148 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-7 + 2\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "11 + (-7 + 2\\frac{1}{6})",
["typ"] = "plus" },
["render"] = "\\frac{12}{11 + (-7 + 2\\frac{1}{6})}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{12}{11 + (-7 + 2\\frac{1}{6})}",
["typ"] = "plus" },
["render"] = "(-12 + \\frac{12}{11 + (-7 + 2\\frac{1}{6})})",
["typ"] = "zavorka" },
["render"] = "-11 - (-12 + \\frac{12}{11 + (-7 + 2\\frac{1}{6})})",
["typ"] = "minus" },
["render"] = "(-11 - (-12 + \\frac{12}{11 + (-7 + 2\\frac{1}{6})}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{4} \\cdot (-11 - (-12 + \\frac{12}{11 + (-7 + 2\\frac{1}{6})}))",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.75, bodu=151, $$\frac{3\frac{1}{8} + 1\frac{3}{5}}{-15} \cdot (15 + \frac{6}{2\frac{5}{10}})=\textcolor{white}{-5{,}481}$$return {
["body"] = 151,
["id"] = "i8H8sL_0228_0034",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -5.481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5481,
["jmenovatel"] = 1000 },
["render"] = "\\frac{-5481}{1000}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{481}{1000}",
["tex_float"] = "-5{,}481",
["x"] = -5,
["y"] = 481,
["z"] = 1000 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} + 1\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{8} + 1\\frac{3}{5}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{6}{2\\frac{5}{10}}",
["typ"] = "plus" },
["render"] = "(15 + \\frac{6}{2\\frac{5}{10}})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{1}{8} + 1\\frac{3}{5}}{-15} \\cdot (15 + \\frac{6}{2\\frac{5}{10}})",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.76, bodu=122, $$\frac{14}{\frac{\frac{20 - 2\frac{4}{6}}{11}}{3\frac{3}{11}}}=\textcolor{white}{29\frac{1}{13}}$$return {
["body"] = 122,
["id"] = "3ZkREd_0228_0034",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 29.076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 378,
["jmenovatel"] = 13 },
["render"] = "\\frac{378}{13}",
["typ"] = "cislo" },
["tex"] = "29\\frac{1}{13}",
["x"] = 29,
["y"] = 1,
["z"] = 13 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "20 - 2\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 2\\frac{4}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{20 - 2\\frac{4}{6}}{11}}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{\\frac{20 - 2\\frac{4}{6}}{11}}{3\\frac{3}{11}}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.77, bodu=96, $$\frac{-11 + 2\frac{1}{8} + (-13)}{(-4 - (-4))^3 + 3} - 15=\textcolor{white}{-22\frac{7}{24}}$$return {
["body"] = 96,
["id"] = "YA9p2n_0228_0034",
["obtiznost"] = 0.9704,
["reseni"] = {
["float"] = -22.291666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -535,
["jmenovatel"] = 24 },
["render"] = "\\frac{-535}{24}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{7}{24}",
["x"] = -22,
["y"] = 7,
["z"] = 24 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} + (-13)",
["typ"] = "plus" },
["render"] = "-11 + 2\\frac{1}{8} + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-4 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-4 - (-4))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-4 - (-4))^3 + 3",
["typ"] = "plus" },
["render"] = "\\frac{-11 + 2\\frac{1}{8} + (-13)}{(-4 - (-4))^3 + 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-11 + 2\\frac{1}{8} + (-13)}{(-4 - (-4))^3 + 3} - 15",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.78, bodu=156, $$-7 \cdot 11 + (4\frac{5}{7} - 3\frac{5}{7})^3 + 8 \cdot 1\frac{2}{5}=\textcolor{white}{-64{,}8}$$return {
["body"] = 156,
["id"] = "eDJiBn_0228_0034",
["obtiznost"] = 1.3808,
["reseni"] = {
["float"] = -64.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -324,
["jmenovatel"] = 5 },
["render"] = "\\frac{-324}{5}",
["typ"] = "cislo" },
["tex"] = "-64\\frac{4}{5}",
["tex_float"] = "-64{,}8",
["x"] = -64,
["y"] = 4,
["z"] = 5 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} - 3\\frac{5}{7}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{5}{7} - 3\\frac{5}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "(4\\frac{5}{7} - 3\\frac{5}{7})^3 + 8 \\cdot 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "-7 \\cdot 11 + (4\\frac{5}{7} - 3\\frac{5}{7})^3 + 8 \\cdot 1\\frac{2}{5}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.79, bodu=76, $$(5 \cdot 12 - (-5)) \cdot (\frac{8}{(12 + (-13))^4})^2=\textcolor{white}{4160}$$return {
["body"] = 76,
["id"] = "x359Be_0228_0034",
["obtiznost"] = 0.8168,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4160,
["jmenovatel"] = 1 },
["render"] = "\\frac{4160}{1}",
["typ"] = "cislo" },
["tex"] = "4160",
["tex_float"] = "4160",
["x"] = 4160 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "5 \\cdot 12 - (-5)",
["typ"] = "minus" },
["render"] = "(5 \\cdot 12 - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 + (-13))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(12 + (-13))^4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{(12 + (-13))^4})^2",
["typ"] = "mocnina" },
["render"] = "(5 \\cdot 12 - (-5)) \\cdot (\\frac{8}{(12 + (-13))^4})^2",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.8, bodu=147, $$\frac{21 + 3\frac{2}{10} - 11}{16 + (\frac{8 + 4\frac{4}{7}}{-16})^2}=\textcolor{white}{\frac{12936}{16285}}$$return {
["body"] = 147,
["id"] = "yPS1yW_0228_0034",
["obtiznost"] = 1.3268,
["reseni"] = {
["float"] = 0.79435062941357,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12936,
["jmenovatel"] = 16285 },
["render"] = "\\frac{12936}{16285}",
["typ"] = "cislo" },
["tex"] = "\\frac{12936}{16285}",
["y"] = 12936,
["z"] = 16285 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 11",
["typ"] = "minus" },
["render"] = "21 + 3\\frac{2}{10} - 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 4\\frac{4}{7}}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 + 4\\frac{4}{7}}{-16})^2",
["typ"] = "mocnina" },
["render"] = "16 + (\\frac{8 + 4\\frac{4}{7}}{-16})^2",
["typ"] = "plus" },
["render"] = "\\frac{21 + 3\\frac{2}{10} - 11}{16 + (\\frac{8 + 4\\frac{4}{7}}{-16})^2}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.81, bodu=101, $$(-4 - 17) \cdot 1\frac{1}{10} - (12 - (-12 - 12))=\textcolor{white}{-59{,}1}$$return {
["body"] = 101,
["id"] = "TYGRXi_0228_0034",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -59.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -591,
["jmenovatel"] = 10 },
["render"] = "\\frac{-591}{10}",
["typ"] = "cislo" },
["tex"] = "-59\\frac{1}{10}",
["tex_float"] = "-59{,}1",
["x"] = -59,
["y"] = 1,
["z"] = 10 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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"] = "(-4 - 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "(-4 - 17) \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 - 12",
["typ"] = "minus" },
["render"] = "(-12 - 12)",
["typ"] = "zavorka" },
["render"] = "12 - (-12 - 12)",
["typ"] = "minus" },
["render"] = "(12 - (-12 - 12))",
["typ"] = "zavorka" },
["render"] = "(-4 - 17) \\cdot 1\\frac{1}{10} - (12 - (-12 - 12))",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.82, bodu=102, $$18 \cdot 4\frac{4}{10} \cdot (10 + 6 - (\frac{13}{13})^3)=\textcolor{white}{1188}$$return {
["body"] = 102,
["id"] = "Ya6qqx_0228_0034",
["obtiznost"] = 1.0208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1188,
["jmenovatel"] = 1 },
["render"] = "\\frac{1188}{1}",
["typ"] = "cislo" },
["tex"] = "1188",
["x"] = 1188 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{13}{13})^3",
["typ"] = "mocnina" },
["render"] = "10 + 6 - (\\frac{13}{13})^3",
["typ"] = "minus" },
["render"] = "(10 + 6 - (\\frac{13}{13})^3)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{10} \\cdot (10 + 6 - (\\frac{13}{13})^3)",
["typ"] = "krat" },
["render"] = "18 \\cdot 4\\frac{4}{10} \\cdot (10 + 6 - (\\frac{13}{13})^3)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.83, bodu=163, $$(-11 - 14) \cdot \frac{4\frac{5}{13} \cdot 1\frac{4}{9} \cdot 2\frac{4}{12}}{-18}=\textcolor{white}{20\frac{85}{162}}$$return {
["body"] = 163,
["id"] = "FZtdGN_0228_0034",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 20.524691358025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3325,
["jmenovatel"] = 162 },
["render"] = "\\frac{3325}{162}",
["typ"] = "cislo" },
["tex"] = "20\\frac{85}{162}",
["x"] = 20,
["y"] = 85,
["z"] = 162 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 - 14",
["typ"] = "minus" },
["render"] = "(-11 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} \\cdot 1\\frac{4}{9} \\cdot 2\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{13} \\cdot 1\\frac{4}{9} \\cdot 2\\frac{4}{12}}{-18}",
["typ"] = "lomeno" },
["render"] = "(-11 - 14) \\cdot \\frac{4\\frac{5}{13} \\cdot 1\\frac{4}{9} \\cdot 2\\frac{4}{12}}{-18}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.84, bodu=134, $$(1\frac{3}{10} - 11 + (-20 + (-16 + 2\frac{1}{7} - 14)) + 20) \cdot -16=\textcolor{white}{600\frac{32}{35}}$$return {
["body"] = 134,
["id"] = "IcW4c6_0228_0034",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 600.91428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21032,
["jmenovatel"] = 35 },
["render"] = "\\frac{42064}{70}",
["typ"] = "cislo" },
["tex"] = "600\\frac{32}{35}",
["x"] = 600,
["y"] = 32,
["z"] = 35 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{1}{7} - 14",
["typ"] = "minus" },
["render"] = "-20 + (-16 + 2\\frac{1}{7} - 14)",
["typ"] = "plus" },
["render"] = "1\\frac{3}{10} - 11 + (-20 + (-16 + 2\\frac{1}{7} - 14))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 11 + (-20 + (-16 + 2\\frac{1}{7} - 14)) + 20",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{10} - 11 + (-20 + (-16 + 2\\frac{1}{7} - 14)) + 20)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{10} - 11 + (-20 + (-16 + 2\\frac{1}{7} - 14)) + 20) \\cdot -16",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.85, bodu=200, $$2\frac{5}{11} \cdot (-21 - 4\frac{4}{7} \cdot 3\frac{5}{12}) \cdot (3\frac{5}{11} - 11)=\textcolor{white}{678\frac{177}{847}}$$return {
["body"] = 200,
["id"] = "fbiFw8_0228_0034",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = 678.20897284534,
["objekt"] = {
["hodnota"] = {
["citatel"] = 574443,
["jmenovatel"] = 847 },
["render"] = "\\frac{574443}{847}",
["typ"] = "cislo" },
["tex"] = "678\\frac{177}{847}",
["x"] = 678,
["y"] = 177,
["z"] = 847 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "-21 - 4\\frac{4}{7} \\cdot 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(-21 - 4\\frac{4}{7} \\cdot 3\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{11} \\cdot (-21 - 4\\frac{4}{7} \\cdot 3\\frac{5}{12})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{11} - 11)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{11} \\cdot (-21 - 4\\frac{4}{7} \\cdot 3\\frac{5}{12}) \\cdot (3\\frac{5}{11} - 11)",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.86, bodu=108, $$(\frac{-5}{20} \cdot 2\frac{5}{12} + (-14 + 10)) \cdot 14=\textcolor{white}{-64\frac{11}{24}}$$return {
["body"] = 108,
["id"] = "A0x5xM_0228_0034",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -64.458333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1547,
["jmenovatel"] = 24 },
["render"] = "\\frac{-3094}{48}",
["typ"] = "cislo" },
["tex"] = "-64\\frac{11}{24}",
["x"] = -64,
["y"] = 11,
["z"] = 24 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{20} \\cdot 2\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 + 10",
["typ"] = "plus" },
["render"] = "\\frac{-5}{20} \\cdot 2\\frac{5}{12} + (-14 + 10)",
["typ"] = "plus" },
["render"] = "(\\frac{-5}{20} \\cdot 2\\frac{5}{12} + (-14 + 10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(\\frac{-5}{20} \\cdot 2\\frac{5}{12} + (-14 + 10)) \\cdot 14",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.87, bodu=170, $$\frac{2\frac{3}{6} - (-19) - 3 \cdot 1\frac{5}{12}}{2\frac{1}{11}} \cdot -22=\textcolor{white}{-181{,}5}$$return {
["body"] = 170,
["id"] = "eSmNZ0_0228_0034",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -181.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -363,
["jmenovatel"] = 2 },
["render"] = "\\frac{-726}{4}",
["typ"] = "cislo" },
["tex"] = "-181\\frac{1}{2}",
["tex_float"] = "-181{,}5",
["x"] = -181,
["y"] = 1,
["z"] = 2 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - (-19)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{6} - (-19) - 3 \\cdot 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6} - (-19) - 3 \\cdot 1\\frac{5}{12}}{2\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6} - (-19) - 3 \\cdot 1\\frac{5}{12}}{2\\frac{1}{11}} \\cdot -22",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.88, bodu=111, $$20 + 20 - 2\frac{2}{8} - (\frac{17}{-14} + \frac{-20}{17})=\textcolor{white}{40\frac{67}{476}}$$return {
["body"] = 111,
["id"] = "1FzLNn_0228_0034",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 40.140756302521,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19107,
["jmenovatel"] = 476 },
["render"] = "\\frac{38214}{952}",
["typ"] = "cislo" },
["tex"] = "40\\frac{67}{476}",
["x"] = 40,
["y"] = 67,
["z"] = 476 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "20 + 20",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "20 + 20 - 2\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{-14} + \\frac{-20}{17}",
["typ"] = "plus" },
["render"] = "(\\frac{17}{-14} + \\frac{-20}{17})",
["typ"] = "zavorka" },
["render"] = "20 + 20 - 2\\frac{2}{8} - (\\frac{17}{-14} + \\frac{-20}{17})",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.89, bodu=175, $$\frac{(-14 - (-13))^4}{6 - ((\frac{1\frac{2}{10}}{3\frac{3}{5}})^3 - 2\frac{4}{10})}=\textcolor{white}{\frac{135}{1129}}$$return {
["body"] = 175,
["id"] = "8ZrqPV_0228_0034",
["obtiznost"] = 1.502,
["reseni"] = {
["float"] = 0.11957484499557,
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 1129 },
["render"] = "\\frac{135}{1129}",
["typ"] = "cislo" },
["tex"] = "\\frac{135}{1129}",
["y"] = 135,
["z"] = 1129 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.89",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-14 - (-13))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{10}}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{2}{10}}{3\\frac{3}{5}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{2}{10}}{3\\frac{3}{5}})^3 - 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "((\\frac{1\\frac{2}{10}}{3\\frac{3}{5}})^3 - 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "6 - ((\\frac{1\\frac{2}{10}}{3\\frac{3}{5}})^3 - 2\\frac{4}{10})",
["typ"] = "minus" },
["render"] = "\\frac{(-14 - (-13))^4}{6 - ((\\frac{1\\frac{2}{10}}{3\\frac{3}{5}})^3 - 2\\frac{4}{10})}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.9, bodu=139, $$(-5 - 16)^2 \cdot (13 \cdot 6 - \frac{11}{3\frac{4}{15}})=\textcolor{white}{32913}$$return {
["body"] = 139,
["id"] = "CWpjpR_0228_0034",
["obtiznost"] = 1.2768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 32913,
["jmenovatel"] = 1 },
["render"] = "\\frac{1612737}{49}",
["typ"] = "cislo" },
["tex"] = "32913",
["x"] = 32913 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.9",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-5 - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{4}{15}}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot 6 - \\frac{11}{3\\frac{4}{15}}",
["typ"] = "minus" },
["render"] = "(13 \\cdot 6 - \\frac{11}{3\\frac{4}{15}})",
["typ"] = "zavorka" },
["render"] = "(-5 - 16)^2 \\cdot (13 \\cdot 6 - \\frac{11}{3\\frac{4}{15}})",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.91, bodu=211, $$\frac{(3\frac{5}{12} - 2) \cdot 1\frac{2}{10}}{5 - 3\frac{1}{8}} - 1\frac{2}{12}=\textcolor{white}{-0{,}26}$$return {
["body"] = 211,
["id"] = "5cQBDG_0228_0034",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -0.26,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 50 },
["render"] = "\\frac{-117}{450}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{50}",
["tex_float"] = "-0{,}26",
["y"] = -13,
["z"] = 50 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 2",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{12} - 2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{12} - 2) \\cdot 1\\frac{2}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "5 - 3\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "\\frac{(3\\frac{5}{12} - 2) \\cdot 1\\frac{2}{10}}{5 - 3\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{5}{12} - 2) \\cdot 1\\frac{2}{10}}{5 - 3\\frac{1}{8}} - 1\\frac{2}{12}",
["typ"] = "minus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.92, bodu=275, $$\frac{(\frac{12}{16})^4 - 1\frac{5}{12} + 4\frac{3}{11}}{2\frac{1}{7} \cdot (2\frac{4}{10} + 2\frac{5}{8})}=\textcolor{white}{\frac{187607}{636768}}$$return {
["body"] = 275,
["id"] = "RJyYxn_0228_0034",
["obtiznost"] = 2.0548,
["reseni"] = {
["float"] = 0.29462378762752,
["objekt"] = {
["hodnota"] = {
["citatel"] = 187607,
["jmenovatel"] = 636768 },
["render"] = "\\frac{1500856}{5094144}",
["typ"] = "cislo" },
["tex"] = "\\frac{187607}{636768}",
["y"] = 187607,
["z"] = 636768 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{12}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{16})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{16})^4 - 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{16})^4 - 1\\frac{5}{12} + 4\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{10} + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot (2\\frac{4}{10} + 2\\frac{5}{8})",
["typ"] = "krat" },
["render"] = "\\frac{(\\frac{12}{16})^4 - 1\\frac{5}{12} + 4\\frac{3}{11}}{2\\frac{1}{7} \\cdot (2\\frac{4}{10} + 2\\frac{5}{8})}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.93, bodu=251, $$2\frac{3}{11} \cdot 2\frac{1}{8} \cdot 5 \cdot 2\frac{2}{8} \cdot (3\frac{4}{12} - 3\frac{2}{10})=\textcolor{white}{7\frac{43}{176}}$$return {
["body"] = 251,
["id"] = "UC0qtJ_0228_0034",
["obtiznost"] = 1.93,
["reseni"] = {
["float"] = 7.2443181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1275,
["jmenovatel"] = 176 },
["render"] = "\\frac{1275}{176}",
["typ"] = "cislo" },
["tex"] = "7\\frac{43}{176}",
["x"] = 7,
["y"] = 43,
["z"] = 176 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "2\\frac{1}{8} \\cdot 5 \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} - 3\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{12} - 3\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{8} \\cdot 5 \\cdot 2\\frac{2}{8} \\cdot (3\\frac{4}{12} - 3\\frac{2}{10})",
["typ"] = "krat" },
["render"] = "2\\frac{3}{11} \\cdot 2\\frac{1}{8} \\cdot 5 \\cdot 2\\frac{2}{8} \\cdot (3\\frac{4}{12} - 3\\frac{2}{10})",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.94, bodu=181, $$\frac{1\frac{3}{6}}{-17 + (10 - 1\frac{3}{10}) \cdot 15 - 2\frac{1}{6}}=\textcolor{white}{\frac{9}{668}}$$return {
["body"] = 181,
["id"] = "AiKXnS_0228_0034",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 0.013473053892216,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 668 },
["render"] = "\\frac{9}{668}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{668}",
["y"] = 9,
["z"] = 668 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(10 - 1\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(10 - 1\\frac{3}{10}) \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(10 - 1\\frac{3}{10}) \\cdot 15 - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "-17 + (10 - 1\\frac{3}{10}) \\cdot 15 - 2\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{6}}{-17 + (10 - 1\\frac{3}{10}) \\cdot 15 - 2\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.95, bodu=183, $$4\frac{5}{12} \cdot \frac{11 \cdot 3\frac{2}{8}}{\frac{2\frac{4}{11}}{-8}}=\textcolor{white}{-534\frac{5}{12}}$$return {
["body"] = 183,
["id"] = "tImdIb_0228_0034",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -534.41666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6413,
["jmenovatel"] = 12 },
["render"] = "\\frac{-6413}{12}",
["typ"] = "cislo" },
["tex"] = "-534\\frac{5}{12}",
["x"] = -534,
["y"] = 5,
["z"] = 12 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{11}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 \\cdot 3\\frac{2}{8}}{\\frac{2\\frac{4}{11}}{-8}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{12} \\cdot \\frac{11 \\cdot 3\\frac{2}{8}}{\\frac{2\\frac{4}{11}}{-8}}",
["typ"] = "krat" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.96, bodu=152, $$\frac{15}{\frac{9 \cdot (13 - 1\frac{3}{12}) \cdot 9}{4\frac{2}{6}}}=\textcolor{white}{\frac{260}{3807}}$$return {
["body"] = 152,
["id"] = "AfXBMw_0228_0034",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 0.06829524560021,
["objekt"] = {
["hodnota"] = {
["citatel"] = 260,
["jmenovatel"] = 3807 },
["render"] = "\\frac{780}{11421}",
["typ"] = "cislo" },
["tex"] = "\\frac{260}{3807}",
["y"] = 260,
["z"] = 3807 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "(13 - 1\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (13 - 1\\frac{3}{12})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot (13 - 1\\frac{3}{12}) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot (13 - 1\\frac{3}{12}) \\cdot 9}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{\\frac{9 \\cdot (13 - 1\\frac{3}{12}) \\cdot 9}{4\\frac{2}{6}}}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.97, bodu=154, $$\frac{\frac{3\frac{5}{10}}{16}}{16 \cdot 10 + (-19 - 3\frac{2}{13})}=\textcolor{white}{\frac{13}{8192}}$$return {
["body"] = 154,
["id"] = "eXHMNW_0228_0034",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 0.0015869140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8192 },
["render"] = "\\frac{91}{57344}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{8192}",
["y"] = 13,
["z"] = 8192 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 13 },
["render"] = "3\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "-19 - 3\\frac{2}{13}",
["typ"] = "minus" },
["render"] = "16 \\cdot 10 + (-19 - 3\\frac{2}{13})",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{5}{10}}{16}}{16 \\cdot 10 + (-19 - 3\\frac{2}{13})}",
["typ"] = "lomeno" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.98, bodu=261, $$\frac{21}{11} \cdot (3\frac{3}{10} - 2\frac{1}{6})^2 + 1\frac{5}{14} - 3\frac{2}{9}=\textcolor{white}{\frac{20341}{34650}}$$return {
["body"] = 261,
["id"] = "12wGmT_0228_0034",
["obtiznost"] = 1.9856,
["reseni"] = {
["float"] = 0.58704184704185,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20341,
["jmenovatel"] = 34650 },
["render"] = "\\frac{61023}{103950}",
["typ"] = "cislo" },
["tex"] = "\\frac{20341}{34650}",
["y"] = 20341,
["z"] = 34650 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{21}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} - 2\\frac{1}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{10} - 2\\frac{1}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{21}{11} \\cdot (3\\frac{3}{10} - 2\\frac{1}{6})^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{14} - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "\\frac{21}{11} \\cdot (3\\frac{3}{10} - 2\\frac{1}{6})^2 + 1\\frac{5}{14} - 3\\frac{2}{9}",
["typ"] = "plus" } }
seed: d8I8LOIhyN7cpfs6cvjQ_0.99, bodu=126, $$-17 \cdot \frac{-16 \cdot 9 + 9}{-10 + 18 - 3\frac{1}{7}}=\textcolor{white}{472{,}5}$$return {
["body"] = 126,
["id"] = "kGSadV_0228_0034",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 472.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 945,
["jmenovatel"] = 2 },
["render"] = "\\frac{16065}{34}",
["typ"] = "cislo" },
["tex"] = "472\\frac{1}{2}",
["tex_float"] = "472{,}5",
["x"] = 472,
["y"] = 1,
["z"] = 2 },
["seed"] = "d8I8LOIhyN7cpfs6cvjQ_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 9 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "18 - 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "-10 + 18 - 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-16 \\cdot 9 + 9}{-10 + 18 - 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "-17 \\cdot \\frac{-16 \\cdot 9 + 9}{-10 + 18 - 3\\frac{1}{7}}",
["typ"] = "krat" } }
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: 
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celebrattrertyte.gif: 
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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: 
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giphdfghdhay.gif: 
giphfsdafsy.gif: 
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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: 
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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: 
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tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
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untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 