- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 6qLTVK92vu2TktpnbtUU_0, bodu=5, $$5 - (5 + 7 - (8 + 5))=\textcolor{white}{6}$$return {
["body"] = 5,
["id"] = "FwVB9q_0908_0302",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{1}",
["typ"] = "cislo" },
["tex"] = "6",
["x"] = 6 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["render"] = "5 + 7 - (8 + 5)",
["typ"] = "minus" },
["render"] = "(5 + 7 - (8 + 5))",
["typ"] = "zavorka" },
["render"] = "5 - (5 + 7 - (8 + 5))",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.01, bodu=10, $$\frac{5}{5 + 7} \cdot 5=\textcolor{white}{2\frac{1}{12}}$$return {
["body"] = 10,
["id"] = "xIXlRF_0908_0302",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 2.0833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 12 },
["render"] = "\\frac{25}{12}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{12}",
["x"] = 2,
["y"] = 1,
["z"] = 12 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["render"] = "\\frac{5}{5 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5 + 7} \\cdot 5",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.02, bodu=10, $$6 + 4 - (\frac{-6}{-6})^3=\textcolor{white}{9}$$return {
["body"] = 10,
["id"] = "kAiMUw_0908_0302",
["obtiznost"] = 0.0208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{9}{1}",
["typ"] = "cislo" },
["tex"] = "9",
["tex_float"] = "9",
["x"] = 9 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 + 4",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{-6})^3",
["typ"] = "mocnina" },
["render"] = "6 + 4 - (\\frac{-6}{-6})^3",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.03, bodu=10, $$\frac{10}{\frac{6}{5}}=\textcolor{white}{8\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "JHQrhv_0908_0302",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 8.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 3 },
["render"] = "\\frac{50}{6}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1}{3}",
["x"] = 8,
["y"] = 1,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{6}{5}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.04, bodu=15, $$\frac{(6 - 10)^3}{(4 - 10)^3}=\textcolor{white}{\frac{8}{27}}$$return {
["body"] = 15,
["id"] = "bAx1s0_0908_0302",
["obtiznost"] = 0.1528,
["reseni"] = {
["float"] = 0.2962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 27 },
["render"] = "\\frac{-64}{-216}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{27}",
["y"] = 8,
["z"] = 27 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4 - 10)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(6 - 10)^3}{(4 - 10)^3}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.05, bodu=5, $$(-5 + 9) \cdot -6 \cdot 5=\textcolor{white}{-120}$$return {
["body"] = 5,
["id"] = "E8e35D_0908_0302",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -120,
["jmenovatel"] = 1 },
["render"] = "\\frac{-120}{1}",
["typ"] = "cislo" },
["tex"] = "-120",
["x"] = -120 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 + 9",
["typ"] = "plus" },
["render"] = "(-5 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(-5 + 9) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-5 + 9) \\cdot -6 \\cdot 5",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.06, bodu=12, $$\frac{-4}{(\frac{-5}{9})^2}=\textcolor{white}{-12{,}96}$$return {
["body"] = 12,
["id"] = "FgaAgb_0908_0302",
["obtiznost"] = 0.1024,
["reseni"] = {
["float"] = -12.96,
["objekt"] = {
["hodnota"] = {
["citatel"] = -324,
["jmenovatel"] = 25 },
["render"] = "\\frac{-324}{25}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{24}{25}",
["tex_float"] = "-12{,}96",
["x"] = -12,
["y"] = 24,
["z"] = 25 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-4}{(\\frac{-5}{9})^2}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.07, bodu=11, $$\frac{9}{6 \cdot (10 + 7)}=\textcolor{white}{\frac{3}{34}}$$return {
["body"] = 11,
["id"] = "viiWw4_0908_0302",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.088235294117647,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 34 },
["render"] = "\\frac{9}{102}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{34}",
["y"] = 3,
["z"] = 34 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["render"] = "(10 + 7)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (10 + 7)",
["typ"] = "krat" },
["render"] = "\\frac{9}{6 \\cdot (10 + 7)}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.08, bodu=12, $$11 + 6 + \frac{6}{-10}=\textcolor{white}{16{,}4}$$return {
["body"] = 12,
["id"] = "luy8Vz_0908_0302",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 16.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 82,
["jmenovatel"] = 5 },
["render"] = "\\frac{82}{5}",
["typ"] = "cislo" },
["tex"] = "16\\frac{2}{5}",
["tex_float"] = "16{,}4",
["x"] = 16,
["y"] = 2,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-10}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{6}{-10}",
["typ"] = "plus" },
["render"] = "11 + 6 + \\frac{6}{-10}",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.09, bodu=6, $$9 + (-8 \cdot -5 + 11)=\textcolor{white}{60}$$return {
["body"] = 6,
["id"] = "C5ZKqD_0908_0302",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{1}",
["typ"] = "cislo" },
["tex"] = "60",
["x"] = 60 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5 + 11",
["typ"] = "plus" },
["render"] = "9 + (-8 \\cdot -5 + 11)",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.1, bodu=12, $$6 + (-6 + \frac{9}{8})=\textcolor{white}{1{,}125}$$return {
["body"] = 12,
["id"] = "SmC0LA_0908_0302",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 1.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "\\frac{9}{8}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{8}",
["tex_float"] = "1{,}125",
["x"] = 1,
["y"] = 1,
["z"] = 8 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["render"] = "-6 + \\frac{9}{8}",
["typ"] = "plus" },
["render"] = "6 + (-6 + \\frac{9}{8})",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.11, bodu=15, $$\frac{(3 + 7)^2}{\frac{-11}{7}}=\textcolor{white}{-63\frac{7}{11}}$$return {
["body"] = 15,
["id"] = "fwRQle_0908_0302",
["obtiznost"] = 0.1504,
["reseni"] = {
["float"] = -63.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -700,
["jmenovatel"] = 11 },
["render"] = "\\frac{700}{-11}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{7}{11}",
["x"] = -63,
["y"] = 7,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3 + 7)^2}{\\frac{-11}{7}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.12, bodu=15, $$(\frac{10}{-5} \cdot 4)^2=\textcolor{white}{64}$$return {
["body"] = 15,
["id"] = "969mFV_0908_0302",
["obtiznost"] = 0.146,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 1 },
["render"] = "\\frac{64}{1}",
["typ"] = "cislo" },
["tex"] = "64",
["x"] = 64 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-5} \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-5} \\cdot 4)^2",
["typ"] = "mocnina" } }
seed: 6qLTVK92vu2TktpnbtUU_0.13, bodu=27, $$(\frac{10}{-10})^3 + (10 - 2)^3=\textcolor{white}{511}$$return {
["body"] = 27,
["id"] = "kNBg1X_0908_0302",
["obtiznost"] = 0.336,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 511,
["jmenovatel"] = 1 },
["render"] = "\\frac{511}{1}",
["typ"] = "cislo" },
["tex"] = "511",
["tex_float"] = "511",
["x"] = 511 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.13",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{-10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "10 - 2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 2)^3",
["typ"] = "mocnina" },
["render"] = "(\\frac{10}{-10})^3 + (10 - 2)^3",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.14, bodu=7, $$8 \cdot -9 - (10 + (-6))=\textcolor{white}{-76}$$return {
["body"] = 7,
["id"] = "bTzpSm_0908_0302",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 1 },
["render"] = "\\frac{-76}{1}",
["typ"] = "cislo" },
["tex"] = "-76",
["x"] = -76 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 + (-6)",
["typ"] = "plus" },
["render"] = "(10 + (-6))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot -9 - (10 + (-6))",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.15, bodu=46, $$\frac{12}{11 + 4\frac{1}{5} + 4\frac{1}{5}}=\textcolor{white}{\frac{60}{97}}$$return {
["body"] = 46,
["id"] = "aVeRKs_0908_0302",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.61855670103093,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 97 },
["render"] = "\\frac{60}{97}",
["typ"] = "cislo" },
["tex"] = "\\frac{60}{97}",
["y"] = 60,
["z"] = 97 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{1}{5} + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{12}{11 + 4\\frac{1}{5} + 4\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.16, bodu=7, $$8 - 11 - 6 \cdot 6=\textcolor{white}{-39}$$return {
["body"] = 7,
["id"] = "jOB38g_0908_0302",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 1 },
["render"] = "\\frac{-39}{1}",
["typ"] = "cislo" },
["tex"] = "-39",
["x"] = -39 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["render"] = "8 - 11 - 6 \\cdot 6",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.17, bodu=31, $$\frac{-8}{(13 - 7)^2} - 1\frac{2}{6}=\textcolor{white}{-1\frac{5}{9}}$$return {
["body"] = 31,
["id"] = "3rmRjJ_0908_0302",
["obtiznost"] = 0.3848,
["reseni"] = {
["float"] = -1.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 9 },
["render"] = "\\frac{-42}{27}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{9}",
["x"] = -1,
["y"] = 5,
["z"] = 9 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(13 - 7)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{(13 - 7)^2} - 1\\frac{2}{6}",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.18, bodu=49, $$(\frac{2\frac{4}{8}}{9} - 11) \cdot 1\frac{1}{2}=\textcolor{white}{-16\frac{1}{12}}$$return {
["body"] = 49,
["id"] = "b5Tddr_0908_0302",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -16.083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -193,
["jmenovatel"] = 12 },
["render"] = "\\frac{-579}{36}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{1}{12}",
["x"] = -16,
["y"] = 1,
["z"] = 12 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{9} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{4}{8}}{9} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{4}{8}}{9} - 11) \\cdot 1\\frac{1}{2}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.19, bodu=17, $$\frac{7 \cdot 6}{-11}=\textcolor{white}{-3\frac{9}{11}}$$return {
["body"] = 17,
["id"] = "PHeyld_0908_0302",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -3.8181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 11 },
["render"] = "\\frac{42}{-11}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{9}{11}",
["x"] = -3,
["y"] = 9,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 6}{-11}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.2, bodu=32, $$(-10 - (11 + 10)) \cdot 9 \cdot 2\frac{2}{5}=\textcolor{white}{-669{,}6}$$return {
["body"] = 32,
["id"] = "79hZDH_0908_0302",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -669.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3348,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3348}{5}",
["typ"] = "cislo" },
["tex"] = "-669\\frac{3}{5}",
["tex_float"] = "-669{,}6",
["x"] = -669,
["y"] = 3,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["render"] = "(11 + 10)",
["typ"] = "zavorka" },
["render"] = "-10 - (11 + 10)",
["typ"] = "minus" },
["render"] = "(-10 - (11 + 10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-10 - (11 + 10)) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-10 - (11 + 10)) \\cdot 9 \\cdot 2\\frac{2}{5}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.21, bodu=9, $$8 - (-7) - (-8 \cdot -9)=\textcolor{white}{-57}$$return {
["body"] = 9,
["id"] = "qGpIFx_0908_0302",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 1 },
["render"] = "\\frac{-57}{1}",
["typ"] = "cislo" },
["tex"] = "-57",
["x"] = -57 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -9",
["typ"] = "krat" },
["render"] = "8 - (-7) - (-8 \\cdot -9)",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.22, bodu=31, $$\frac{(-10 + (-10))^2}{8 + 7} + 6=\textcolor{white}{32\frac{2}{3}}$$return {
["body"] = 31,
["id"] = "ELVKHy_0908_0302",
["obtiznost"] = 0.3804,
["reseni"] = {
["float"] = 32.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 98,
["jmenovatel"] = 3 },
["render"] = "\\frac{98}{3}",
["typ"] = "cislo" },
["tex"] = "32\\frac{2}{3}",
["x"] = 32,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["render"] = "\\frac{(-10 + (-10))^2}{8 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(-10 + (-10))^2}{8 + 7} + 6",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.23, bodu=9, $$4 - (14 \cdot -12 + 9) - (-7)=\textcolor{white}{170}$$return {
["body"] = 9,
["id"] = "lGJ5UI_0908_0302",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 170,
["jmenovatel"] = 1 },
["render"] = "\\frac{170}{1}",
["typ"] = "cislo" },
["tex"] = "170",
["x"] = 170 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 \\cdot -12 + 9",
["typ"] = "plus" },
["render"] = "(14 \\cdot -12 + 9)",
["typ"] = "zavorka" },
["render"] = "4 - (14 \\cdot -12 + 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4 - (14 \\cdot -12 + 9) - (-7)",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.24, bodu=20, $$\frac{6 + 9}{\frac{-9}{10}}=\textcolor{white}{-16\frac{2}{3}}$$return {
["body"] = 20,
["id"] = "nbIq0T_0908_0302",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -16.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 3 },
["render"] = "\\frac{150}{-9}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{2}{3}",
["x"] = -16,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{6 + 9}{\\frac{-9}{10}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.25, bodu=37, $$\frac{4\frac{4}{7} - (-3 \cdot 8)}{-10}=\textcolor{white}{-2\frac{6}{7}}$$return {
["body"] = 37,
["id"] = "R3WmIS_0908_0302",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -2.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 7 },
["render"] = "\\frac{200}{-70}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{6}{7}",
["x"] = -2,
["y"] = 6,
["z"] = 7 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 8",
["typ"] = "krat" },
["render"] = "4\\frac{4}{7} - (-3 \\cdot 8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7} - (-3 \\cdot 8)}{-10}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.26, bodu=14, $$(3 - 10 + (10 + (-6))^4) \cdot (-9 + 10)=\textcolor{white}{249}$$return {
["body"] = 14,
["id"] = "UjY7Zb_0908_0302",
["obtiznost"] = 0.3628,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 249,
["jmenovatel"] = 1 },
["render"] = "\\frac{249}{1}",
["typ"] = "cislo" },
["tex"] = "249",
["x"] = 249 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(10 + (-6))^4",
["typ"] = "mocnina" },
["render"] = "3 - 10 + (10 + (-6))^4",
["typ"] = "plus" },
["render"] = "(3 - 10 + (10 + (-6))^4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 + 10",
["typ"] = "plus" },
["render"] = "(-9 + 10)",
["typ"] = "zavorka" },
["render"] = "(3 - 10 + (10 + (-6))^4) \\cdot (-9 + 10)",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.27, bodu=38, $$\frac{-9 \cdot 14}{\frac{3\frac{1}{6}}{-12}}=\textcolor{white}{477\frac{9}{19}}$$return {
["body"] = 38,
["id"] = "Lwz0xj_0908_0302",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 477.47368421053,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9072,
["jmenovatel"] = 19 },
["render"] = "\\frac{-9072}{-19}",
["typ"] = "cislo" },
["tex"] = "477\\frac{9}{19}",
["x"] = 477,
["y"] = 9,
["z"] = 19 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9 \\cdot 14}{\\frac{3\\frac{1}{6}}{-12}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.28, bodu=39, $$-9 + 8 + (7 + 13) \cdot 2\frac{2}{5}=\textcolor{white}{47}$$return {
["body"] = 39,
["id"] = "JtN3ub_0908_0302",
["obtiznost"] = 0.48,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 1 },
["render"] = "\\frac{47}{1}",
["typ"] = "cislo" },
["tex"] = "47",
["tex_float"] = "47",
["x"] = 47 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 + 13",
["typ"] = "plus" },
["render"] = "(7 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(7 + 13) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "-9 + 8 + (7 + 13) \\cdot 2\\frac{2}{5}",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.29, bodu=40, $$\frac{11 \cdot 1\frac{4}{5}}{-14} \cdot 8=\textcolor{white}{-11\frac{11}{35}}$$return {
["body"] = 40,
["id"] = "k2Mr2V_0908_0302",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -11.314285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -396,
["jmenovatel"] = 35 },
["render"] = "\\frac{-792}{70}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{11}{35}",
["x"] = -11,
["y"] = 11,
["z"] = 35 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{4}{5}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{4}{5}}{-14} \\cdot 8",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.3, bodu=86, $$(3\frac{1}{4} + 4\frac{5}{11} + 13) \cdot 6 \cdot 4\frac{2}{3}=\textcolor{white}{579\frac{8}{11}}$$return {
["body"] = 86,
["id"] = "LDg2RX_0908_0302",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 579.72727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6377,
["jmenovatel"] = 11 },
["render"] = "\\frac{25508}{44}",
["typ"] = "cislo" },
["tex"] = "579\\frac{8}{11}",
["x"] = 579,
["y"] = 8,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 4\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 4\\frac{5}{11} + 13",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 4\\frac{5}{11} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "(3\\frac{1}{4} + 4\\frac{5}{11} + 13) \\cdot 6 \\cdot 4\\frac{2}{3}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.31, bodu=42, $$-11 + \frac{4\frac{4}{7}}{-12} + 12 + 9=\textcolor{white}{9\frac{13}{21}}$$return {
["body"] = 42,
["id"] = "HbJfAc_0908_0302",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 9.6190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 202,
["jmenovatel"] = 21 },
["render"] = "\\frac{202}{21}",
["typ"] = "cislo" },
["tex"] = "9\\frac{13}{21}",
["x"] = 9,
["y"] = 13,
["z"] = 21 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{-12} + 12",
["typ"] = "plus" },
["render"] = "-11 + \\frac{4\\frac{4}{7}}{-12} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 + \\frac{4\\frac{4}{7}}{-12} + 12 + 9",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.32, bodu=54, $$((8 + 8)^2 + 3\frac{4}{8}) \cdot (-7 + 6)=\textcolor{white}{-259{,}5}$$return {
["body"] = 54,
["id"] = "oJnNbE_0908_0302",
["obtiznost"] = 0.6228,
["reseni"] = {
["float"] = -259.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -519,
["jmenovatel"] = 2 },
["render"] = "\\frac{-519}{2}",
["typ"] = "cislo" },
["tex"] = "-259\\frac{1}{2}",
["tex_float"] = "-259{,}5",
["x"] = -259,
["y"] = 1,
["z"] = 2 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(8 + 8)^2 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "((8 + 8)^2 + 3\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["render"] = "(-7 + 6)",
["typ"] = "zavorka" },
["render"] = "((8 + 8)^2 + 3\\frac{4}{8}) \\cdot (-7 + 6)",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.33, bodu=27, $$\frac{-10}{-12 - \frac{-9}{8}}=\textcolor{white}{\frac{80}{87}}$$return {
["body"] = 27,
["id"] = "7AAste_0908_0302",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 0.91954022988506,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 87 },
["render"] = "\\frac{-80}{-87}",
["typ"] = "cislo" },
["tex"] = "\\frac{80}{87}",
["y"] = 80,
["z"] = 87 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{8}",
["typ"] = "lomeno" },
["render"] = "-12 - \\frac{-9}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{-12 - \\frac{-9}{8}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.34, bodu=27, $$\frac{6}{7 + 5 - (-10 + 9)^3}=\textcolor{white}{\frac{6}{13}}$$return {
["body"] = 27,
["id"] = "yxdjn9_0908_0302",
["obtiznost"] = 0.3408,
["reseni"] = {
["float"] = 0.46153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 13 },
["render"] = "\\frac{6}{13}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{13}",
["y"] = 6,
["z"] = 13 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-10 + 9)^3",
["typ"] = "mocnina" },
["render"] = "7 + 5 - (-10 + 9)^3",
["typ"] = "minus" },
["render"] = "\\frac{6}{7 + 5 - (-10 + 9)^3}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.35, bodu=60, $$\frac{\frac{14}{(5 - (-13))^2}}{-9 + 1\frac{5}{8}}=\textcolor{white}{-\frac{28}{4779}}$$return {
["body"] = 60,
["id"] = "tLYN92_0908_0302",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -0.0058589663109437,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 4779 },
["render"] = "\\frac{56}{-9558}",
["typ"] = "cislo" },
["tex"] = "-\\frac{28}{4779}",
["y"] = -28,
["z"] = 4779 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "5 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - (-13))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{14}{(5 - (-13))^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{14}{(5 - (-13))^2}}{-9 + 1\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.36, bodu=29, $$\frac{-16}{-7} \cdot 9 \cdot -13=\textcolor{white}{-267\frac{3}{7}}$$return {
["body"] = 29,
["id"] = "pdCepj_0908_0302",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -267.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1872,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1872}{7}",
["typ"] = "cislo" },
["tex"] = "-267\\frac{3}{7}",
["x"] = -267,
["y"] = 3,
["z"] = 7 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-7} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-7} \\cdot 9 \\cdot -13",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.37, bodu=48, $$2\frac{3}{5} \cdot 11 + 10 \cdot 9=\textcolor{white}{118{,}6}$$return {
["body"] = 48,
["id"] = "YFmDsY_0908_0302",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 118.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 593,
["jmenovatel"] = 5 },
["render"] = "\\frac{593}{5}",
["typ"] = "cislo" },
["tex"] = "118\\frac{3}{5}",
["tex_float"] = "118{,}6",
["x"] = 118,
["y"] = 3,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 11",
["typ"] = "krat" },
["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"] = "2\\frac{3}{5} \\cdot 11 + 10 \\cdot 9",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.38, bodu=52, $$-10 \cdot (\frac{-10}{12})^2 - 1\frac{3}{9}=\textcolor{white}{-8\frac{5}{18}}$$return {
["body"] = 52,
["id"] = "D7Ds7w_0908_0302",
["obtiznost"] = 0.6044,
["reseni"] = {
["float"] = -8.2777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -149,
["jmenovatel"] = 18 },
["render"] = "\\frac{-447}{54}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5}{18}",
["x"] = -8,
["y"] = 5,
["z"] = 18 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{12})^2",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (\\frac{-10}{12})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot (\\frac{-10}{12})^2 - 1\\frac{3}{9}",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.39, bodu=50, $$\frac{1\frac{2}{7}}{11} \cdot 3 \cdot 9=\textcolor{white}{3\frac{12}{77}}$$return {
["body"] = 50,
["id"] = "3ND60X_0908_0302",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 3.1558441558442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 77 },
["render"] = "\\frac{243}{77}",
["typ"] = "cislo" },
["tex"] = "3\\frac{12}{77}",
["x"] = 3,
["y"] = 12,
["z"] = 77 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{7}}{11} \\cdot 3 \\cdot 9",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.4, bodu=16, $$6 - (-12) - (-15 \cdot 7) + (-16)=\textcolor{white}{107}$$return {
["body"] = 16,
["id"] = "X9K48v_0908_0302",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 1 },
["render"] = "\\frac{107}{1}",
["typ"] = "cislo" },
["tex"] = "107",
["tex_float"] = "107",
["x"] = 107 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 - (-12) - (-15 \\cdot 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "6 - (-12) - (-15 \\cdot 7) + (-16)",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.41, bodu=33, $$\frac{\frac{12 \cdot -14}{10}}{9 - 11}=\textcolor{white}{8{,}4}$$return {
["body"] = 33,
["id"] = "Ef1oD7_0908_0302",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 8.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 5 },
["render"] = "\\frac{-84}{-10}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{5}",
["tex_float"] = "8{,}4",
["x"] = 8,
["y"] = 2,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "12 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot -14}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{12 \\cdot -14}{10}}{9 - 11}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.42, bodu=17, $$5 + (-7 \cdot 5 \cdot (-6 + 15))=\textcolor{white}{-310}$$return {
["body"] = 17,
["id"] = "rKZkkt_0908_0302",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -310,
["jmenovatel"] = 1 },
["render"] = "\\frac{-310}{1}",
["typ"] = "cislo" },
["tex"] = "-310",
["x"] = -310 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-6 + 15",
["typ"] = "plus" },
["render"] = "(-6 + 15)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-6 + 15)",
["typ"] = "krat" },
["render"] = "-7 \\cdot 5 \\cdot (-6 + 15)",
["typ"] = "krat" },
["render"] = "5 + (-7 \\cdot 5 \\cdot (-6 + 15))",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.43, bodu=55, $$\frac{-7}{\frac{10}{3\frac{5}{10} \cdot -14}}=\textcolor{white}{34{,}3}$$return {
["body"] = 55,
["id"] = "qbaBiH_0908_0302",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 34.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 10 },
["render"] = "\\frac{-343}{-10}",
["typ"] = "cislo" },
["tex"] = "34\\frac{3}{10}",
["tex_float"] = "34{,}3",
["x"] = 34,
["y"] = 3,
["z"] = 10 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{10}{3\\frac{5}{10} \\cdot -14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{10}{3\\frac{5}{10} \\cdot -14}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.44, bodu=25, $$(6 + 13)^2 \cdot 11 \cdot 11 + 12=\textcolor{white}{43693}$$return {
["body"] = 25,
["id"] = "3Umwph_0908_0302",
["obtiznost"] = 0.5848,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 43693,
["jmenovatel"] = 1 },
["render"] = "\\frac{43693}{1}",
["typ"] = "cislo" },
["tex"] = "43693",
["tex_float"] = "43693",
["x"] = 43693 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "6 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 \\cdot 11",
["typ"] = "krat" },
["render"] = "(6 + 13)^2 \\cdot 11 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(6 + 13)^2 \\cdot 11 \\cdot 11 + 12",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.45, bodu=18, $$11 - (7 - 8 \cdot 9 - 16)=\textcolor{white}{92}$$return {
["body"] = 18,
["id"] = "5MP7Pa_0908_0302",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 1 },
["render"] = "\\frac{92}{1}",
["typ"] = "cislo" },
["tex"] = "92",
["x"] = 92 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["render"] = "7 - 8 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "7 - 8 \\cdot 9 - 16",
["typ"] = "minus" },
["render"] = "(7 - 8 \\cdot 9 - 16)",
["typ"] = "zavorka" },
["render"] = "11 - (7 - 8 \\cdot 9 - 16)",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.46, bodu=58, $$-3 - 12 - (-10 - 2\frac{5}{8} \cdot -10)=\textcolor{white}{-31{,}25}$$return {
["body"] = 58,
["id"] = "P18pib_0908_0302",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -31.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 4 },
["render"] = "\\frac{-125}{4}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{1}{4}",
["tex_float"] = "-31{,}25",
["x"] = -31,
["y"] = 1,
["z"] = 4 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-3 - 12",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot -10",
["typ"] = "krat" },
["render"] = "-10 - 2\\frac{5}{8} \\cdot -10",
["typ"] = "minus" },
["render"] = "(-10 - 2\\frac{5}{8} \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "-3 - 12 - (-10 - 2\\frac{5}{8} \\cdot -10)",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.47, bodu=71, $$(11 \cdot \frac{5}{1\frac{3}{8} \cdot -10})^4=\textcolor{white}{256}$$return {
["body"] = 71,
["id"] = "qabUBI_0908_0302",
["obtiznost"] = 0.7728,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["x"] = 256 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.47",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{5}{1\\frac{3}{8} \\cdot -10}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{5}{1\\frac{3}{8} \\cdot -10}",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(11 \\cdot \\frac{5}{1\\frac{3}{8} \\cdot -10})^4",
["typ"] = "mocnina" } }
seed: 6qLTVK92vu2TktpnbtUU_0.48, bodu=84, $$(-9 - (-15)) \cdot (-4 + 2\frac{4}{10}) \cdot 3\frac{4}{10}=\textcolor{white}{-32{,}64}$$return {
["body"] = 84,
["id"] = "mcLhDi_0908_0302",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -32.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = -816,
["jmenovatel"] = 25 },
["render"] = "\\frac{-816}{25}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{16}{25}",
["tex_float"] = "-32{,}64",
["x"] = -32,
["y"] = 16,
["z"] = 25 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 - (-15)",
["typ"] = "minus" },
["render"] = "(-9 - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(-4 + 2\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-4 + 2\\frac{4}{10}) \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "(-9 - (-15)) \\cdot (-4 + 2\\frac{4}{10}) \\cdot 3\\frac{4}{10}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.49, bodu=61, $$\frac{\frac{10}{7} \cdot 4\frac{2}{7}}{4}=\textcolor{white}{1\frac{26}{49}}$$return {
["body"] = 61,
["id"] = "CD5o0f_0908_0302",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 1.530612244898,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 49 },
["render"] = "\\frac{300}{196}",
["typ"] = "cislo" },
["tex"] = "1\\frac{26}{49}",
["x"] = 1,
["y"] = 26,
["z"] = 49 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7} \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{7} \\cdot 4\\frac{2}{7}}{4}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.5, bodu=41, $$\frac{6 + 10}{-9} - (-8 - (12 + 13))=\textcolor{white}{31\frac{2}{9}}$$return {
["body"] = 41,
["id"] = "xXAwM4_0908_0302",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 31.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 281,
["jmenovatel"] = 9 },
["render"] = "\\frac{281}{9}",
["typ"] = "cislo" },
["tex"] = "31\\frac{2}{9}",
["x"] = 31,
["y"] = 2,
["z"] = 9 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 10}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(12 + 13)",
["typ"] = "zavorka" },
["render"] = "-8 - (12 + 13)",
["typ"] = "minus" },
["render"] = "(-8 - (12 + 13))",
["typ"] = "zavorka" },
["render"] = "\\frac{6 + 10}{-9} - (-8 - (12 + 13))",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.51, bodu=88, $$-13 \cdot 4\frac{1}{6} \cdot \frac{5}{3\frac{1}{4}}=\textcolor{white}{-83\frac{1}{3}}$$return {
["body"] = 88,
["id"] = "MbCWf7_0908_0302",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -83.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -250,
["jmenovatel"] = 3 },
["render"] = "\\frac{-6500}{78}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{1}{3}",
["x"] = -83,
["y"] = 1,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot 4\\frac{1}{6} \\cdot \\frac{5}{3\\frac{1}{4}}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.52, bodu=46, $$\frac{(10 - 14)^3}{\frac{-18}{14}} \cdot 5=\textcolor{white}{248\frac{8}{9}}$$return {
["body"] = 46,
["id"] = "NJEhHs_0908_0302",
["obtiznost"] = 0.546,
["reseni"] = {
["float"] = 248.88888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2240,
["jmenovatel"] = 9 },
["render"] = "\\frac{2240}{9}",
["typ"] = "cislo" },
["tex"] = "248\\frac{8}{9}",
["x"] = 248,
["y"] = 8,
["z"] = 9 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(10 - 14)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{(10 - 14)^3}{\\frac{-18}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(10 - 14)^3}{\\frac{-18}{14}} \\cdot 5",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.53, bodu=66, $$9 \cdot 13 + (14 + 10) \cdot 4\frac{4}{9}=\textcolor{white}{223\frac{2}{3}}$$return {
["body"] = 66,
["id"] = "8HsXka_0908_0302",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 223.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 671,
["jmenovatel"] = 3 },
["render"] = "\\frac{671}{3}",
["typ"] = "cislo" },
["tex"] = "223\\frac{2}{3}",
["x"] = 223,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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"] = "(14 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(14 + 10) \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "9 \\cdot 13 + (14 + 10) \\cdot 4\\frac{4}{9}",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.54, bodu=45, $$\frac{-14}{-3} - (9 + 13) + 10 + 15=\textcolor{white}{7\frac{2}{3}}$$return {
["body"] = 45,
["id"] = "ci1zMN_0908_0302",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 7.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 3 },
["render"] = "\\frac{23}{3}",
["typ"] = "cislo" },
["tex"] = "7\\frac{2}{3}",
["x"] = 7,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.54",
["zadani"] = {
["c1"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 + 13",
["typ"] = "plus" },
["render"] = "(9 + 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{-14}{-3} - (9 + 13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "10 + 15",
["typ"] = "plus" },
["render"] = "\\frac{-14}{-3} - (9 + 13) + 10 + 15",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.55, bodu=93, $$-14 - 12 \cdot 3\frac{3}{8} - 3\frac{5}{9} - 6=\textcolor{white}{-64\frac{1}{18}}$$return {
["body"] = 93,
["id"] = "t1njjo_0908_0302",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -64.055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1153,
["jmenovatel"] = 18 },
["render"] = "\\frac{-1153}{18}",
["typ"] = "cislo" },
["tex"] = "-64\\frac{1}{18}",
["x"] = -64,
["y"] = 1,
["z"] = 18 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "-14 - 12 \\cdot 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 - 12 \\cdot 3\\frac{3}{8} - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-14 - 12 \\cdot 3\\frac{3}{8} - 3\\frac{5}{9} - 6",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.56, bodu=69, $$(14 - \frac{-11}{-4}) \cdot (-10 + 3\frac{3}{7})=\textcolor{white}{-73\frac{13}{14}}$$return {
["body"] = 69,
["id"] = "555IQV_0908_0302",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -73.928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1035,
["jmenovatel"] = 14 },
["render"] = "\\frac{-2070}{28}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{13}{14}",
["x"] = -73,
["y"] = 13,
["z"] = 14 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-4}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{-11}{-4}",
["typ"] = "minus" },
["render"] = "(14 - \\frac{-11}{-4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(14 - \\frac{-11}{-4}) \\cdot (-10 + 3\\frac{3}{7})",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.57, bodu=70, $$(-17 - (-10) - 4\frac{4}{10} - 12) \cdot 11=\textcolor{white}{-257{,}4}$$return {
["body"] = 70,
["id"] = "xaYgY9_0908_0302",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -257.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1287,
["jmenovatel"] = 5 },
["render"] = "\\frac{-1287}{5}",
["typ"] = "cislo" },
["tex"] = "-257\\frac{2}{5}",
["tex_float"] = "-257{,}4",
["x"] = -257,
["y"] = 2,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.57",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-17 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-17 - (-10) - 4\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-17 - (-10) - 4\\frac{4}{10} - 12",
["typ"] = "minus" },
["render"] = "(-17 - (-10) - 4\\frac{4}{10} - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-17 - (-10) - 4\\frac{4}{10} - 12) \\cdot 11",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.58, bodu=64, $$-16 + \frac{(\frac{12}{9})^4}{15} + (-7)=\textcolor{white}{-22\frac{959}{1215}}$$return {
["body"] = 64,
["id"] = "ebPHha_0908_0302",
["obtiznost"] = 0.7148,
["reseni"] = {
["float"] = -22.789300411523,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27689,
["jmenovatel"] = 1215 },
["render"] = "\\frac{-27689}{1215}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{959}{1215}",
["x"] = -22,
["y"] = 959,
["z"] = 1215 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{12}{9})^4}{15}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{(\\frac{12}{9})^4}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-16 + \\frac{(\\frac{12}{9})^4}{15} + (-7)",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.59, bodu=98, $$\frac{1\frac{3}{5} - 9 + 15 \cdot 2\frac{3}{10}}{15}=\textcolor{white}{1\frac{121}{150}}$$return {
["body"] = 98,
["id"] = "wIdBPJ_0908_0302",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 1.8066666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 271,
["jmenovatel"] = 150 },
["render"] = "\\frac{271}{150}",
["typ"] = "cislo" },
["tex"] = "1\\frac{121}{150}",
["x"] = 1,
["y"] = 121,
["z"] = 150 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 2\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "1\\frac{3}{5} - 9 + 15 \\cdot 2\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{5} - 9 + 15 \\cdot 2\\frac{3}{10}}{15}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.6, bodu=100, $$-11 - \frac{-20 - (4\frac{1}{4} + 16)}{\frac{-4}{3\frac{1}{8}}}=\textcolor{white}{-42\frac{57}{128}}$$return {
["body"] = 100,
["id"] = "sf4dzF_0908_0302",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -42.4453125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5433,
["jmenovatel"] = 128 },
["render"] = "\\frac{-5433}{128}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{57}{128}",
["x"] = -42,
["y"] = 57,
["z"] = 128 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} + 16",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + 16)",
["typ"] = "zavorka" },
["render"] = "-20 - (4\\frac{1}{4} + 16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-20 - (4\\frac{1}{4} + 16)}{\\frac{-4}{3\\frac{1}{8}}}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{-20 - (4\\frac{1}{4} + 16)}{\\frac{-4}{3\\frac{1}{8}}}",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.61, bodu=154, $$(4\frac{3}{8} + 17) \cdot 8 \cdot (9 \cdot 3\frac{2}{6})^2=\textcolor{white}{153900}$$return {
["body"] = 154,
["id"] = "JBAk0M_0908_0302",
["obtiznost"] = 1.3704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 153900,
["jmenovatel"] = 1 },
["render"] = "\\frac{1231200}{8}",
["typ"] = "cislo" },
["tex"] = "153900",
["tex_float"] = "153900",
["x"] = 153900 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 17",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + 17)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(9 \\cdot 3\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (9 \\cdot 3\\frac{2}{6})^2",
["typ"] = "krat" },
["render"] = "(4\\frac{3}{8} + 17) \\cdot 8 \\cdot (9 \\cdot 3\\frac{2}{6})^2",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.62, bodu=131, $$\frac{1\frac{2}{10}}{7 \cdot 2\frac{2}{7} \cdot \frac{3\frac{4}{10}}{18}}=\textcolor{white}{\frac{27}{68}}$$return {
["body"] = 131,
["id"] = "BLtYDP_0908_0302",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 0.39705882352941,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 68 },
["render"] = "\\frac{270}{680}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{68}",
["y"] = 27,
["z"] = 68 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10}}{18}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{7} \\cdot \\frac{3\\frac{4}{10}}{18}",
["typ"] = "krat" },
["render"] = "7 \\cdot 2\\frac{2}{7} \\cdot \\frac{3\\frac{4}{10}}{18}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{10}}{7 \\cdot 2\\frac{2}{7} \\cdot \\frac{3\\frac{4}{10}}{18}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.63, bodu=163, $$\frac{10}{1\frac{2}{6} + 3\frac{5}{5} \cdot 1\frac{1}{8} \cdot (1\frac{1}{7} + 4\frac{2}{6})}=\textcolor{white}{\frac{420}{1091}}$$return {
["body"] = 163,
["id"] = "jFBp5O_0908_0302",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 0.38496791934005,
["objekt"] = {
["hodnota"] = {
["citatel"] = 420,
["jmenovatel"] = 1091 },
["render"] = "\\frac{420}{1091}",
["typ"] = "cislo" },
["tex"] = "\\frac{420}{1091}",
["y"] = 420,
["z"] = 1091 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{5} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{7} + 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{5} \\cdot 1\\frac{1}{8} \\cdot (1\\frac{1}{7} + 4\\frac{2}{6})",
["typ"] = "krat" },
["render"] = "1\\frac{2}{6} + 3\\frac{5}{5} \\cdot 1\\frac{1}{8} \\cdot (1\\frac{1}{7} + 4\\frac{2}{6})",
["typ"] = "plus" },
["render"] = "\\frac{10}{1\\frac{2}{6} + 3\\frac{5}{5} \\cdot 1\\frac{1}{8} \\cdot (1\\frac{1}{7} + 4\\frac{2}{6})}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.64, bodu=97, $$\frac{-6 - (-8)}{(\frac{15}{11})^2 \cdot 3\frac{3}{8}}=\textcolor{white}{\frac{1936}{6075}}$$return {
["body"] = 97,
["id"] = "FWkAsz_0908_0302",
["obtiznost"] = 0.9784,
["reseni"] = {
["float"] = 0.31868312757202,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1936,
["jmenovatel"] = 6075 },
["render"] = "\\frac{1936}{6075}",
["typ"] = "cislo" },
["tex"] = "\\frac{1936}{6075}",
["y"] = 1936,
["z"] = 6075 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.64",
["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"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{11})^2 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-6 - (-8)}{(\\frac{15}{11})^2 \\cdot 3\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.65, bodu=113, $$12 \cdot (\frac{-8}{-15 + 3\frac{5}{12}} - (3 - 8)^4)=\textcolor{white}{-7491\frac{99}{139}}$$return {
["body"] = 113,
["id"] = "ITsRzK_0908_0302",
["obtiznost"] = 1.1004,
["reseni"] = {
["float"] = -7491.7122302158,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1041348,
["jmenovatel"] = 139 },
["render"] = "\\frac{-1041348}{139}",
["typ"] = "cislo" },
["tex"] = "-7491\\frac{99}{139}",
["x"] = -7491,
["y"] = 99,
["z"] = 139 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-15 + 3\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "\\frac{-8}{-15 + 3\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(3 - 8)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{-15 + 3\\frac{5}{12}} - (3 - 8)^4",
["typ"] = "minus" },
["render"] = "(\\frac{-8}{-15 + 3\\frac{5}{12}} - (3 - 8)^4)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (\\frac{-8}{-15 + 3\\frac{5}{12}} - (3 - 8)^4)",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.66, bodu=137, $$(10 - (-12 - (-9 + 1\frac{4}{6}))) \cdot 4\frac{4}{10} + 1\frac{3}{8}=\textcolor{white}{65\frac{109}{120}}$$return {
["body"] = 137,
["id"] = "AEGjLu_0908_0302",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 65.908333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7909,
["jmenovatel"] = 120 },
["render"] = "\\frac{7909}{120}",
["typ"] = "cislo" },
["tex"] = "65\\frac{109}{120}",
["x"] = 65,
["y"] = 109,
["z"] = 120 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(-9 + 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-12 - (-9 + 1\\frac{4}{6})",
["typ"] = "minus" },
["render"] = "(-12 - (-9 + 1\\frac{4}{6}))",
["typ"] = "zavorka" },
["render"] = "10 - (-12 - (-9 + 1\\frac{4}{6}))",
["typ"] = "minus" },
["render"] = "(10 - (-12 - (-9 + 1\\frac{4}{6})))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(10 - (-12 - (-9 + 1\\frac{4}{6}))) \\cdot 4\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(10 - (-12 - (-9 + 1\\frac{4}{6}))) \\cdot 4\\frac{4}{10} + 1\\frac{3}{8}",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.67, bodu=83, $$-7 + (-16 + (-13 + 1\frac{4}{9}) \cdot 15 \cdot -15)=\textcolor{white}{2577}$$return {
["body"] = 83,
["id"] = "6xIAK3_0908_0302",
["obtiznost"] = 0.87,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2577,
["jmenovatel"] = 1 },
["render"] = "\\frac{2577}{1}",
["typ"] = "cislo" },
["tex"] = "2577",
["x"] = 2577 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-13 + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(-13 + 1\\frac{4}{9}) \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-13 + 1\\frac{4}{9}) \\cdot 15 \\cdot -15",
["typ"] = "krat" },
["render"] = "-16 + (-13 + 1\\frac{4}{9}) \\cdot 15 \\cdot -15",
["typ"] = "plus" },
["render"] = "-7 + (-16 + (-13 + 1\\frac{4}{9}) \\cdot 15 \\cdot -15)",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.68, bodu=140, $$\frac{-15}{1\frac{3}{8} \cdot 1\frac{1}{8}} - 8 \cdot 3\frac{5}{9}=\textcolor{white}{-38\frac{14}{99}}$$return {
["body"] = 140,
["id"] = "sqQigv_0908_0302",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -38.141414141414,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3776,
["jmenovatel"] = 99 },
["render"] = "\\frac{-11328}{297}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{14}{99}",
["x"] = -38,
["y"] = 14,
["z"] = 99 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-15}{1\\frac{3}{8} \\cdot 1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{-15}{1\\frac{3}{8} \\cdot 1\\frac{1}{8}} - 8 \\cdot 3\\frac{5}{9}",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.69, bodu=129, $$(2\frac{4}{9} + (-8) + (-8 + (-9))^2 + \frac{-20}{1\frac{2}{7}}) \cdot 12=\textcolor{white}{3214\frac{2}{3}}$$return {
["body"] = 129,
["id"] = "dhMMPv_0908_0302",
["obtiznost"] = 1.206,
["reseni"] = {
["float"] = 3214.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9644,
["jmenovatel"] = 3 },
["render"] = "\\frac{28932}{9}",
["typ"] = "cislo" },
["tex"] = "3214\\frac{2}{3}",
["x"] = 3214,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + (-8)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{9} + (-8) + (-8 + (-9))^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{9} + (-8) + (-8 + (-9))^2 + \\frac{-20}{1\\frac{2}{7}}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{9} + (-8) + (-8 + (-9))^2 + \\frac{-20}{1\\frac{2}{7}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{9} + (-8) + (-8 + (-9))^2 + \\frac{-20}{1\\frac{2}{7}}) \\cdot 12",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.7, bodu=143, $$(1\frac{5}{12} + 1\frac{3}{10} \cdot (1\frac{1}{6} + 12 - (-11))) \cdot -14=\textcolor{white}{-459\frac{2}{3}}$$return {
["body"] = 143,
["id"] = "IQVKN8_0908_0302",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -459.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1379,
["jmenovatel"] = 3 },
["render"] = "\\frac{-2758}{6}",
["typ"] = "cislo" },
["tex"] = "-459\\frac{2}{3}",
["x"] = -459,
["y"] = 2,
["z"] = 3 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 12 - (-11)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{6} + 12 - (-11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{10} \\cdot (1\\frac{1}{6} + 12 - (-11))",
["typ"] = "krat" },
["render"] = "1\\frac{5}{12} + 1\\frac{3}{10} \\cdot (1\\frac{1}{6} + 12 - (-11))",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + 1\\frac{3}{10} \\cdot (1\\frac{1}{6} + 12 - (-11)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} + 1\\frac{3}{10} \\cdot (1\\frac{1}{6} + 12 - (-11))) \\cdot -14",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.71, bodu=153, $$(4\frac{3}{5} - 5)^4 \cdot -14 \cdot 2\frac{3}{8} \cdot 14=\textcolor{white}{-11\frac{573}{625}}$$return {
["body"] = 153,
["id"] = "is2HZW_0908_0302",
["obtiznost"] = 1.3664,
["reseni"] = {
["float"] = -11.9168,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7448,
["jmenovatel"] = 625 },
["render"] = "\\frac{-14896}{1250}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{573}{625}",
["x"] = -11,
["y"] = 573,
["z"] = 625 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.71",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} - 5",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(4\\frac{3}{5} - 5)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 14",
["typ"] = "krat" },
["render"] = "-14 \\cdot 2\\frac{3}{8} \\cdot 14",
["typ"] = "krat" },
["render"] = "(4\\frac{3}{5} - 5)^4 \\cdot -14 \\cdot 2\\frac{3}{8} \\cdot 14",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.72, bodu=116, $$\frac{\frac{-9}{4\frac{2}{5}} \cdot (14 + (-13)) - 3\frac{1}{8}}{16}=\textcolor{white}{-\frac{455}{1408}}$$return {
["body"] = 116,
["id"] = "S1l1qe_0908_0302",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -0.32315340909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -455,
["jmenovatel"] = 1408 },
["render"] = "\\frac{-455}{1408}",
["typ"] = "cislo" },
["tex"] = "-\\frac{455}{1408}",
["y"] = -455,
["z"] = 1408 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "14 + (-13)",
["typ"] = "plus" },
["render"] = "(14 + (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{4\\frac{2}{5}} \\cdot (14 + (-13))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{2}{5}} \\cdot (14 + (-13)) - 3\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{4\\frac{2}{5}} \\cdot (14 + (-13)) - 3\\frac{1}{8}}{16}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.73, bodu=180, $$\frac{\frac{\frac{1\frac{2}{7}}{3\frac{4}{11}}}{1\frac{5}{11} \cdot 3\frac{5}{9}}}{-10}=\textcolor{white}{-\frac{9801}{1326080}}$$return {
["body"] = 180,
["id"] = "VCu8vu_0908_0302",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -0.0073909568050193,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9801,
["jmenovatel"] = 1326080 },
["render"] = "\\frac{9801}{-1326080}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9801}{1326080}",
["y"] = -9801,
["z"] = 1326080 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{3\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{2}{7}}{3\\frac{4}{11}}}{1\\frac{5}{11} \\cdot 3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{2}{7}}{3\\frac{4}{11}}}{1\\frac{5}{11} \\cdot 3\\frac{5}{9}}}{-10}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.74, bodu=96, $$\frac{\frac{12}{11}}{1\frac{5}{7}} + 9 + (16 - 13)^4=\textcolor{white}{90\frac{7}{11}}$$return {
["body"] = 96,
["id"] = "eMwnwd_0908_0302",
["obtiznost"] = 0.9728,
["reseni"] = {
["float"] = 90.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 997,
["jmenovatel"] = 11 },
["render"] = "\\frac{997}{11}",
["typ"] = "cislo" },
["tex"] = "90\\frac{7}{11}",
["x"] = 90,
["y"] = 7,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{11}}{1\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "16 - 13",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(16 - 13)^4",
["typ"] = "mocnina" },
["render"] = "9 + (16 - 13)^4",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{12}{11}}{1\\frac{5}{7}} + 9 + (16 - 13)^4",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.75, bodu=93, $$(2\frac{5}{11} - 9) \cdot (8 \cdot -11 + \frac{6}{-18})=\textcolor{white}{578\frac{2}{11}}$$return {
["body"] = 93,
["id"] = "I2pvsL_0908_0302",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 578.18181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6360,
["jmenovatel"] = 11 },
["render"] = "\\frac{19080}{33}",
["typ"] = "cislo" },
["tex"] = "578\\frac{2}{11}",
["x"] = 578,
["y"] = 2,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-18}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot -11 + \\frac{6}{-18}",
["typ"] = "plus" },
["render"] = "(8 \\cdot -11 + \\frac{6}{-18})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{11} - 9) \\cdot (8 \\cdot -11 + \\frac{6}{-18})",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.76, bodu=185, $$(1\frac{2}{5} - 1\frac{4}{8}) \cdot 1\frac{1}{11} \cdot 4\frac{5}{12} - (-13)=\textcolor{white}{12\frac{57}{110}}$$return {
["body"] = 185,
["id"] = "iVzOXz_0908_0302",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 12.518181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1377,
["jmenovatel"] = 110 },
["render"] = "\\frac{1377}{110}",
["typ"] = "cislo" },
["tex"] = "12\\frac{57}{110}",
["x"] = 12,
["y"] = 57,
["z"] = 110 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 1\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{5} - 1\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} \\cdot 4\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "(1\\frac{2}{5} - 1\\frac{4}{8}) \\cdot 1\\frac{1}{11} \\cdot 4\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{5} - 1\\frac{4}{8}) \\cdot 1\\frac{1}{11} \\cdot 4\\frac{5}{12} - (-13)",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.77, bodu=258, $$3\frac{5}{10} - 4\frac{1}{7} + \frac{2\frac{5}{11}}{4\frac{5}{15}} \cdot (2\frac{3}{7} + 3\frac{4}{11})=\textcolor{white}{2\frac{14051}{22022}}$$return {
["body"] = 258,
["id"] = "g94EPz_0908_0302",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = 2.6380437744074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 58095,
["jmenovatel"] = 22022 },
["render"] = "\\frac{406665}{154154}",
["typ"] = "cislo" },
["tex"] = "2\\frac{14051}{22022}",
["x"] = 2,
["y"] = 14051,
["z"] = 22022 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{4\\frac{5}{15}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} + 3\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} + 3\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{11}}{4\\frac{5}{15}} \\cdot (2\\frac{3}{7} + 3\\frac{4}{11})",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} - 4\\frac{1}{7} + \\frac{2\\frac{5}{11}}{4\\frac{5}{15}} \\cdot (2\\frac{3}{7} + 3\\frac{4}{11})",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.78, bodu=155, $$1\frac{3}{5} \cdot 16 + 5 \cdot -17 - (3\frac{4}{8} - 3\frac{5}{8})=\textcolor{white}{-59{,}275}$$return {
["body"] = 155,
["id"] = "FClwIQ_0908_0302",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -59.275,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2371,
["jmenovatel"] = 40 },
["render"] = "\\frac{-2371}{40}",
["typ"] = "cislo" },
["tex"] = "-59\\frac{11}{40}",
["tex_float"] = "-59{,}275",
["x"] = -59,
["y"] = 11,
["z"] = 40 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "5 \\cdot -17",
["typ"] = "krat" },
["render"] = "1\\frac{3}{5} \\cdot 16 + 5 \\cdot -17",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 3\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{8} - 3\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{5} \\cdot 16 + 5 \\cdot -17 - (3\\frac{4}{8} - 3\\frac{5}{8})",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.79, bodu=98, $$\frac{1\frac{1}{6}}{\frac{-16}{9} \cdot \frac{-5}{6}}=\textcolor{white}{\frac{63}{80}}$$return {
["body"] = 98,
["id"] = "PkmbQm_0908_0302",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 0.7875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 80 },
["render"] = "\\frac{189}{240}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{80}",
["y"] = 63,
["z"] = 80 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16}{9} \\cdot \\frac{-5}{6}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{6}}{\\frac{-16}{9} \\cdot \\frac{-5}{6}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.8, bodu=178, $$-12 + 4\frac{5}{12} + (\frac{-14 + (-23)}{3\frac{1}{4} - 10 \cdot -8})^3=\textcolor{white}{-7\frac{1957}{2916}}$$return {
["body"] = 178,
["id"] = "8BVcSK_0908_0302",
["obtiznost"] = 1.5172,
["reseni"] = {
["float"] = -7.6711248285322,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22369,
["jmenovatel"] = 2916 },
["render"] = "\\frac{-67107}{8748}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1957}{2916}",
["x"] = -7,
["y"] = 1957,
["z"] = 2916 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "-14 + (-23)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} - 10 \\cdot -8",
["typ"] = "minus" },
["render"] = "\\frac{-14 + (-23)}{3\\frac{1}{4} - 10 \\cdot -8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14 + (-23)}{3\\frac{1}{4} - 10 \\cdot -8})^3",
["typ"] = "mocnina" },
["render"] = "-12 + 4\\frac{5}{12} + (\\frac{-14 + (-23)}{3\\frac{1}{4} - 10 \\cdot -8})^3",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.81, bodu=101, $$12 + \frac{4\frac{5}{11} - \frac{-20}{-6}}{\frac{-16}{18}}=\textcolor{white}{10\frac{65}{88}}$$return {
["body"] = 101,
["id"] = "WhPHgs_0908_0302",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 10.738636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 945,
["jmenovatel"] = 88 },
["render"] = "\\frac{945}{88}",
["typ"] = "cislo" },
["tex"] = "10\\frac{65}{88}",
["x"] = 10,
["y"] = 65,
["z"] = 88 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{-6}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} - \\frac{-20}{-6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{18}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11} - \\frac{-20}{-6}}{\\frac{-16}{18}}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{4\\frac{5}{11} - \\frac{-20}{-6}}{\\frac{-16}{18}}",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.82, bodu=162, $$\frac{1\frac{4}{10}}{\frac{-12}{4\frac{2}{11}}} \cdot -16 \cdot 3\frac{2}{5}=\textcolor{white}{26\frac{446}{825}}$$return {
["body"] = 162,
["id"] = "grEZBS_0908_0302",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 26.540606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21896,
["jmenovatel"] = 825 },
["render"] = "\\frac{43792}{1650}",
["typ"] = "cislo" },
["tex"] = "26\\frac{446}{825}",
["x"] = 26,
["y"] = 446,
["z"] = 825 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{4\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{10}}{\\frac{-12}{4\\frac{2}{11}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{10}}{\\frac{-12}{4\\frac{2}{11}}} \\cdot -16 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.83, bodu=198, $$2\frac{1}{7} + 15 + \frac{4\frac{1}{3}}{(17 - 9)^3} + 2\frac{3}{9} - (-12)=\textcolor{white}{31\frac{1737}{3584}}$$return {
["body"] = 198,
["id"] = "5Wo0Fe_0908_0302",
["obtiznost"] = 1.6352,
["reseni"] = {
["float"] = 31.484654017857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 112841,
["jmenovatel"] = 3584 },
["render"] = "\\frac{112841}{3584}",
["typ"] = "cislo" },
["tex"] = "31\\frac{1737}{3584}",
["x"] = 31,
["y"] = 1737,
["z"] = 3584 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "17 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(17 - 9)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{1}{3}}{(17 - 9)^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-12)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{3}}{(17 - 9)^3} + 2\\frac{3}{9} - (-12)",
["typ"] = "plus" },
["render"] = "2\\frac{1}{7} + 15 + \\frac{4\\frac{1}{3}}{(17 - 9)^3} + 2\\frac{3}{9} - (-12)",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.84, bodu=105, $$14 + 14 + \frac{-13}{7} - 6 \cdot (2\frac{3}{10} + (-8))=\textcolor{white}{60\frac{12}{35}}$$return {
["body"] = 105,
["id"] = "4DFtvU_0908_0302",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 60.342857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2112,
["jmenovatel"] = 35 },
["render"] = "\\frac{2112}{35}",
["typ"] = "cislo" },
["tex"] = "60\\frac{12}{35}",
["x"] = 60,
["y"] = 12,
["z"] = 35 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + (-8)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{10} + (-8))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (2\\frac{3}{10} + (-8))",
["typ"] = "krat" },
["render"] = "\\frac{-13}{7} - 6 \\cdot (2\\frac{3}{10} + (-8))",
["typ"] = "minus" },
["render"] = "14 + 14 + \\frac{-13}{7} - 6 \\cdot (2\\frac{3}{10} + (-8))",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.85, bodu=249, $$\frac{3\frac{2}{11} + 1\frac{4}{13} - 2\frac{1}{4}}{\frac{1\frac{5}{12}}{(\frac{9}{10})^2} + 1\frac{3}{9}}=\textcolor{white}{\frac{44469}{61204}}$$return {
["body"] = 249,
["id"] = "jTSMt4_0908_0302",
["obtiznost"] = 1.9224,
["reseni"] = {
["float"] = 0.72657015881315,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44469,
["jmenovatel"] = 61204 },
["render"] = "\\frac{311283}{428428}",
["typ"] = "cislo" },
["tex"] = "\\frac{44469}{61204}",
["y"] = 44469,
["z"] = 61204 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{13} - 2\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "3\\frac{2}{11} + 1\\frac{4}{13} - 2\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{12}}{(\\frac{9}{10})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12}}{(\\frac{9}{10})^2} + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{11} + 1\\frac{4}{13} - 2\\frac{1}{4}}{\\frac{1\\frac{5}{12}}{(\\frac{9}{10})^2} + 1\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.86, bodu=137, $$(1\frac{1}{8} \cdot (16 + 2\frac{3}{8} - (-20)) - (-20)) \cdot -17=\textcolor{white}{-1073\frac{59}{64}}$$return {
["body"] = 137,
["id"] = "gPLlVo_0908_0302",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -1073.921875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68731,
["jmenovatel"] = 64 },
["render"] = "\\frac{-68731}{64}",
["typ"] = "cislo" },
["tex"] = "-1073\\frac{59}{64}",
["x"] = -1073,
["y"] = 59,
["z"] = 64 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "16 + 2\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "16 + 2\\frac{3}{8} - (-20)",
["typ"] = "minus" },
["render"] = "(16 + 2\\frac{3}{8} - (-20))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} \\cdot (16 + 2\\frac{3}{8} - (-20))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot (16 + 2\\frac{3}{8} - (-20)) - (-20)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{8} \\cdot (16 + 2\\frac{3}{8} - (-20)) - (-20))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{8} \\cdot (16 + 2\\frac{3}{8} - (-20)) - (-20)) \\cdot -17",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.87, bodu=170, $$\frac{1\frac{1}{11} \cdot 3\frac{2}{8}}{\frac{2\frac{1}{6} \cdot 12}{14}}=\textcolor{white}{1\frac{10}{11}}$$return {
["body"] = 170,
["id"] = "fgPEiE_0908_0302",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 1.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 11 },
["render"] = "\\frac{273}{143}",
["typ"] = "cislo" },
["tex"] = "1\\frac{10}{11}",
["x"] = 1,
["y"] = 10,
["z"] = 11 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6} \\cdot 12}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{1}{11} \\cdot 3\\frac{2}{8}}{\\frac{2\\frac{1}{6} \\cdot 12}{14}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.88, bodu=207, $$1\frac{4}{9} \cdot 4\frac{5}{11} \cdot \frac{1\frac{4}{5} - 2\frac{3}{8}}{(7 + (-9))^4 + 17}=\textcolor{white}{-\frac{14651}{130680}}$$return {
["body"] = 207,
["id"] = "5gheS7_0908_0302",
["obtiznost"] = 1.6868,
["reseni"] = {
["float"] = -0.11211355984083,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14651,
["jmenovatel"] = 130680 },
["render"] = "\\frac{-14651}{130680}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14651}{130680}",
["y"] = -14651,
["z"] = 130680 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} \\cdot 4\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} - 2\\frac{3}{8}",
["typ"] = "minus" },
["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"] = "plus" },
["mocnitel"] = 4,
["render"] = "(7 + (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(7 + (-9))^4 + 17",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{5} - 2\\frac{3}{8}}{(7 + (-9))^4 + 17}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{9} \\cdot 4\\frac{5}{11} \\cdot \\frac{1\\frac{4}{5} - 2\\frac{3}{8}}{(7 + (-9))^4 + 17}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.89, bodu=207, $$\frac{3\frac{4}{10} + 1\frac{1}{6}}{2\frac{2}{7} + \frac{15}{\frac{3\frac{5}{9}}{15}}}=\textcolor{white}{\frac{15344}{220305}}$$return {
["body"] = 207,
["id"] = "NYP1LX_0908_0302",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 0.069648895848937,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15344,
["jmenovatel"] = 220305 },
["render"] = "\\frac{30688}{440610}",
["typ"] = "cislo" },
["tex"] = "\\frac{15344}{220305}",
["y"] = 15344,
["z"] = 220305 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{\\frac{3\\frac{5}{9}}{15}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{7} + \\frac{15}{\\frac{3\\frac{5}{9}}{15}}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{10} + 1\\frac{1}{6}}{2\\frac{2}{7} + \\frac{15}{\\frac{3\\frac{5}{9}}{15}}}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.9, bodu=207, $$-20 \cdot -9 \cdot 4\frac{5}{10} \cdot ((3\frac{5}{10} + 12)^2 - 16)=\textcolor{white}{181642{,}5}$$return {
["body"] = 207,
["id"] = "vQR7vl_0908_0302",
["obtiznost"] = 1.686,
["reseni"] = {
["float"] = 181642.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 363285,
["jmenovatel"] = 2 },
["render"] = "\\frac{726570}{4}",
["typ"] = "cislo" },
["tex"] = "181642\\frac{1}{2}",
["tex_float"] = "181642{,}5",
["x"] = 181642,
["y"] = 1,
["z"] = 2 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "-20 \\cdot -9 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{5}{10} + 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{10} + 12)^2 - 16",
["typ"] = "minus" },
["render"] = "((3\\frac{5}{10} + 12)^2 - 16)",
["typ"] = "zavorka" },
["render"] = "-20 \\cdot -9 \\cdot 4\\frac{5}{10} \\cdot ((3\\frac{5}{10} + 12)^2 - 16)",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.91, bodu=211, $$(\frac{2\frac{5}{13} - (-6)}{-14} + 4\frac{4}{11} - (10 + 4\frac{4}{7})) \cdot 4\frac{1}{5}=\textcolor{white}{-45\frac{111}{286}}$$return {
["body"] = 211,
["id"] = "4VGkrz_0908_0302",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -45.388111888112,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12981,
["jmenovatel"] = 286 },
["render"] = "\\frac{-454335}{10010}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{111}{286}",
["x"] = -45,
["y"] = 111,
["z"] = 286 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13} - (-6)}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "10 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(10 + 4\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{11} - (10 + 4\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{13} - (-6)}{-14} + 4\\frac{4}{11} - (10 + 4\\frac{4}{7})",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{5}{13} - (-6)}{-14} + 4\\frac{4}{11} - (10 + 4\\frac{4}{7}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{5}{13} - (-6)}{-14} + 4\\frac{4}{11} - (10 + 4\\frac{4}{7})) \\cdot 4\\frac{1}{5}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.92, bodu=179, $$2\frac{1}{3} + (-13 - (13 + (-9))^2) \cdot 3\frac{4}{13} + 2\frac{2}{9} \cdot -13=\textcolor{white}{-122\frac{56}{117}}$$return {
["body"] = 179,
["id"] = "WlX72o_0908_0302",
["obtiznost"] = 1.5268,
["reseni"] = {
["float"] = -122.47863247863,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14330,
["jmenovatel"] = 117 },
["render"] = "\\frac{-42990}{351}",
["typ"] = "cislo" },
["tex"] = "-122\\frac{56}{117}",
["x"] = -122,
["y"] = 56,
["z"] = 117 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "-13 - (13 + (-9))^2",
["typ"] = "minus" },
["render"] = "(-13 - (13 + (-9))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(-13 - (13 + (-9))^2) \\cdot 3\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} + (-13 - (13 + (-9))^2) \\cdot 3\\frac{4}{13}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot -13",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} + (-13 - (13 + (-9))^2) \\cdot 3\\frac{4}{13} + 2\\frac{2}{9} \\cdot -13",
["typ"] = "plus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.93, bodu=180, $$3\frac{3}{5} \cdot 3\frac{4}{11} + \frac{14}{-20} + 7 - (-18) - 3\frac{4}{14}=\textcolor{white}{33\frac{19}{154}}$$return {
["body"] = 180,
["id"] = "5qbLZa_0908_0302",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 33.123376623377,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5101,
["jmenovatel"] = 154 },
["render"] = "\\frac{5101}{154}",
["typ"] = "cislo" },
["tex"] = "33\\frac{19}{154}",
["x"] = 33,
["y"] = 19,
["z"] = 154 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 3\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-20} + 7",
["typ"] = "plus" },
["render"] = "3\\frac{3}{5} \\cdot 3\\frac{4}{11} + \\frac{14}{-20} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 3\\frac{4}{11} + \\frac{14}{-20} + 7 - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 3\\frac{4}{11} + \\frac{14}{-20} + 7 - (-18) - 3\\frac{4}{14}",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.94, bodu=96, $$(-16 + 13) \cdot (\frac{14}{15} + (5 - (-12) - 8)^2)=\textcolor{white}{-245{,}8}$$return {
["body"] = 96,
["id"] = "JuYu63_0908_0302",
["obtiznost"] = 0.9728,
["reseni"] = {
["float"] = -245.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1229,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3687}{15}",
["typ"] = "cislo" },
["tex"] = "-245\\frac{4}{5}",
["tex_float"] = "-245{,}8",
["x"] = -245,
["y"] = 4,
["z"] = 5 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-16 + 13",
["typ"] = "plus" },
["render"] = "(-16 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{14}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - (-12) - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - (-12) - 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{14}{15} + (5 - (-12) - 8)^2",
["typ"] = "plus" },
["render"] = "(\\frac{14}{15} + (5 - (-12) - 8)^2)",
["typ"] = "zavorka" },
["render"] = "(-16 + 13) \\cdot (\\frac{14}{15} + (5 - (-12) - 8)^2)",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.95, bodu=334, $$3\frac{5}{11} - 1\frac{3}{13} \cdot (1\frac{1}{8} + 3\frac{1}{5}) \cdot (1\frac{3}{12} + 2\frac{3}{8} + 1\frac{5}{6})=\textcolor{white}{-25\frac{5153}{8580}}$$return {
["body"] = 334,
["id"] = "YXyvGQ_0908_0302",
["obtiznost"] = 2.35,
["reseni"] = {
["float"] = -25.600582750583,
["objekt"] = {
["hodnota"] = {
["citatel"] = -219653,
["jmenovatel"] = 8580 },
["render"] = "\\frac{-219653}{8580}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{5153}{8580}",
["x"] = -25,
["y"] = 5153,
["z"] = 8580 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 13 },
["render"] = "1\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{8} + 3\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{13} \\cdot (1\\frac{1}{8} + 3\\frac{1}{5})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 1\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "1\\frac{3}{12} + 2\\frac{3}{8} + 1\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{12} + 2\\frac{3}{8} + 1\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{13} \\cdot (1\\frac{1}{8} + 3\\frac{1}{5}) \\cdot (1\\frac{3}{12} + 2\\frac{3}{8} + 1\\frac{5}{6})",
["typ"] = "krat" },
["render"] = "3\\frac{5}{11} - 1\\frac{3}{13} \\cdot (1\\frac{1}{8} + 3\\frac{1}{5}) \\cdot (1\\frac{3}{12} + 2\\frac{3}{8} + 1\\frac{5}{6})",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.96, bodu=185, $$-14 \cdot (4\frac{5}{14} + 7) \cdot \frac{4\frac{3}{12}}{15 \cdot 3\frac{4}{10}}=\textcolor{white}{-13{,}25}$$return {
["body"] = 185,
["id"] = "TfpK85_0908_0302",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -13.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 4 },
["render"] = "\\frac{-159}{12}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{1}{4}",
["tex_float"] = "-13{,}25",
["x"] = -13,
["y"] = 1,
["z"] = 4 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} + 7",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{14} + 7)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (4\\frac{5}{14} + 7)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{12}}{15 \\cdot 3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot (4\\frac{5}{14} + 7) \\cdot \\frac{4\\frac{3}{12}}{15 \\cdot 3\\frac{4}{10}}",
["typ"] = "krat" } }
seed: 6qLTVK92vu2TktpnbtUU_0.97, bodu=187, $$\frac{\frac{17}{4\frac{2}{10}}}{3\frac{3}{14} \cdot 2\frac{2}{4} \cdot -13}=\textcolor{white}{-\frac{68}{1755}}$$return {
["body"] = 187,
["id"] = "3uhZz4_0908_0302",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -0.038746438746439,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 1755 },
["render"] = "\\frac{2380}{-61425}",
["typ"] = "cislo" },
["tex"] = "-\\frac{68}{1755}",
["y"] = -68,
["z"] = 1755 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{4\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{14} \\cdot 2\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{14} \\cdot 2\\frac{2}{4} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{17}{4\\frac{2}{10}}}{3\\frac{3}{14} \\cdot 2\\frac{2}{4} \\cdot -13}",
["typ"] = "lomeno" } }
seed: 6qLTVK92vu2TktpnbtUU_0.98, bodu=188, $$2\frac{4}{15} - (-9 - 3\frac{4}{5} + \frac{-9}{\frac{-12}{2\frac{4}{10}}})=\textcolor{white}{13\frac{4}{15}}$$return {
["body"] = 188,
["id"] = "rmBm21_0908_0302",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 13.266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 199,
["jmenovatel"] = 15 },
["render"] = "\\frac{199}{15}",
["typ"] = "cislo" },
["tex"] = "13\\frac{4}{15}",
["x"] = 13,
["y"] = 4,
["z"] = 15 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 15 },
["render"] = "2\\frac{4}{15}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-9 - 3\\frac{4}{5}",
["typ"] = "minus" },
["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"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{-12}{2\\frac{4}{10}}}",
["typ"] = "lomeno" },
["render"] = "-9 - 3\\frac{4}{5} + \\frac{-9}{\\frac{-12}{2\\frac{4}{10}}}",
["typ"] = "plus" },
["render"] = "(-9 - 3\\frac{4}{5} + \\frac{-9}{\\frac{-12}{2\\frac{4}{10}}})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{15} - (-9 - 3\\frac{4}{5} + \\frac{-9}{\\frac{-12}{2\\frac{4}{10}}})",
["typ"] = "minus" } }
seed: 6qLTVK92vu2TktpnbtUU_0.99, bodu=225, $$(1\frac{3}{7} + (-12 - 1\frac{5}{10})) \cdot 14 \cdot (\frac{3\frac{2}{10}}{-22} + 2\frac{4}{8})=\textcolor{white}{-397\frac{101}{110}}$$return {
["body"] = 225,
["id"] = "BYvXvP_0908_0302",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -397.91818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43771,
["jmenovatel"] = 110 },
["render"] = "\\frac{-43771}{110}",
["typ"] = "cislo" },
["tex"] = "-397\\frac{101}{110}",
["x"] = -397,
["y"] = 101,
["z"] = 110 },
["seed"] = "6qLTVK92vu2TktpnbtUU_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "1\\frac{3}{7} + (-12 - 1\\frac{5}{10})",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{7} + (-12 - 1\\frac{5}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{7} + (-12 - 1\\frac{5}{10})) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10}}{-22}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10}}{-22} + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{2}{10}}{-22} + 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{7} + (-12 - 1\\frac{5}{10})) \\cdot 14 \\cdot (\\frac{3\\frac{2}{10}}{-22} + 2\\frac{4}{8})",
["typ"] = "krat" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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