- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: Ay008ZqlD7Uox6a0rONL_0, bodu=5, $$9 + 3 \cdot -6 + 5=\textcolor{white}{-4}$$return {
["body"] = 5,
["id"] = "k6wZl9_0823_2012",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["x"] = -4 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 \\cdot -6 + 5",
["typ"] = "plus" },
["render"] = "9 + 3 \\cdot -6 + 5",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.01, bodu=10, $$\frac{5 \cdot 10}{9}=\textcolor{white}{5\frac{5}{9}}$$return {
["body"] = 10,
["id"] = "i18cb2_0823_2012",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 5.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 9 },
["render"] = "\\frac{50}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{9}",
["x"] = 5,
["y"] = 5,
["z"] = 9 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 10}{9}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.02, bodu=10, $$\frac{9}{3 + 7} \cdot 4=\textcolor{white}{3{,}6}$$return {
["body"] = 10,
["id"] = "Xmym5n_0823_2012",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 3.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "\\frac{36}{10}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{5}",
["tex_float"] = "3{,}6",
["x"] = 3,
["y"] = 3,
["z"] = 5 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{9}{3 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3 + 7} \\cdot 4",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.03, bodu=5, $$((4 - 4)^3 \cdot 5 \cdot -4)^3=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "XcSyOM_0823_2012",
["obtiznost"] = 0.0308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.03",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4 - 4)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "5 \\cdot -4",
["typ"] = "krat" },
["render"] = "(4 - 4)^3 \\cdot 5 \\cdot -4",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((4 - 4)^3 \\cdot 5 \\cdot -4)^3",
["typ"] = "mocnina" } }
seed: Ay008ZqlD7Uox6a0rONL_0.04, bodu=10, $$\frac{5}{9 \cdot -8}=\textcolor{white}{-\frac{5}{72}}$$return {
["body"] = 10,
["id"] = "y8txs7_0823_2012",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -0.069444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 72 },
["render"] = "\\frac{5}{-72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{72}",
["y"] = -5,
["z"] = 72 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{5}{9 \\cdot -8}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.05, bodu=21, $$5 + 2\frac{1}{4} + 5 + (-7 - 3)=\textcolor{white}{2{,}25}$$return {
["body"] = 21,
["id"] = "w9wu37_0823_2012",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 2.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "\\frac{9}{4}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{4}",
["tex_float"] = "2{,}25",
["x"] = 2,
["y"] = 1,
["z"] = 4 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 - 3",
["typ"] = "minus" },
["render"] = "2\\frac{1}{4} + 5 + (-7 - 3)",
["typ"] = "plus" },
["render"] = "5 + 2\\frac{1}{4} + 5 + (-7 - 3)",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.06, bodu=5, $$5 \cdot -6 \cdot 3=\textcolor{white}{-90}$$return {
["body"] = 5,
["id"] = "D63Hkf_0823_2012",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90}{1}",
["typ"] = "cislo" },
["tex"] = "-90",
["x"] = -90 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 \\cdot -6 \\cdot 3",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.07, bodu=23, $$\frac{2\frac{5}{8} + 12}{(11 - 7)^2 + 8}=\textcolor{white}{\frac{39}{64}}$$return {
["body"] = 23,
["id"] = "ttdEH9_0823_2012",
["obtiznost"] = 0.2768,
["reseni"] = {
["float"] = 0.609375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 64 },
["render"] = "\\frac{117}{192}",
["typ"] = "cislo" },
["tex"] = "\\frac{39}{64}",
["y"] = 39,
["z"] = 64 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(11 - 7)^2 + 8",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{5}{8} + 12}{(11 - 7)^2 + 8}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.08, bodu=6, $$(9 - (-7)) \cdot (10 - 6)^2=\textcolor{white}{256}$$return {
["body"] = 6,
["id"] = "P1GRoD_0823_2012",
["obtiznost"] = 0.0868,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["x"] = 256 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.08",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 - (-7)",
["typ"] = "minus" },
["render"] = "(9 - (-7))",
["typ"] = "zavorka" },
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 6)^2",
["typ"] = "mocnina" },
["render"] = "(9 - (-7)) \\cdot (10 - 6)^2",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.09, bodu=12, $$\frac{-7}{6 \cdot 10 - 11}=\textcolor{white}{-\frac{1}{7}}$$return {
["body"] = 12,
["id"] = "cw8E03_0823_2012",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -0.14285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 7 },
["render"] = "\\frac{-7}{49}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{7}",
["y"] = -1,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10 - 11",
["typ"] = "minus" },
["render"] = "\\frac{-7}{6 \\cdot 10 - 11}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.1, bodu=14, $$(\frac{-8}{8} \cdot -10)^2=\textcolor{white}{100}$$return {
["body"] = 14,
["id"] = "f2cFMp_0823_2012",
["obtiznost"] = 0.1404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 1 },
["render"] = "\\frac{100}{1}",
["typ"] = "cislo" },
["tex"] = "100",
["tex_float"] = "100",
["x"] = 100 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8} \\cdot -10",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{8} \\cdot -10)^2",
["typ"] = "mocnina" } }
seed: Ay008ZqlD7Uox6a0rONL_0.11, bodu=14, $$(\frac{3}{9} + 9 - 9)^4=\textcolor{white}{\frac{1}{81}}$$return {
["body"] = 14,
["id"] = "or08IU_0823_2012",
["obtiznost"] = 0.1428,
["reseni"] = {
["float"] = 0.012345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 81 },
["render"] = "\\frac{1}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{81}",
["y"] = 1,
["z"] = 81 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9} + 9 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(\\frac{3}{9} + 9 - 9)^4",
["typ"] = "mocnina" } }
seed: Ay008ZqlD7Uox6a0rONL_0.12, bodu=13, $$\frac{9}{-3 + 6 + 7 + 7}=\textcolor{white}{\frac{9}{17}}$$return {
["body"] = 13,
["id"] = "oS6M4A_0823_2012",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.52941176470588,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 17 },
["render"] = "\\frac{9}{17}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{17}",
["y"] = 9,
["z"] = 17 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-3 + 6 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-3 + 6 + 7 + 7",
["typ"] = "plus" },
["render"] = "\\frac{9}{-3 + 6 + 7 + 7}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.13, bodu=14, $$(5 + 7) \cdot \frac{3}{6}=\textcolor{white}{6}$$return {
["body"] = 14,
["id"] = "OMHQhn_0823_2012",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{2}",
["typ"] = "cislo" },
["tex"] = "6",
["x"] = 6 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = "(5 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3}{6}",
["typ"] = "lomeno" },
["render"] = "(5 + 7) \\cdot \\frac{3}{6}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.14, bodu=7, $$6 + (-7 \cdot -10 - (-11))=\textcolor{white}{87}$$return {
["body"] = 7,
["id"] = "FRZqIi_0823_2012",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 87,
["jmenovatel"] = 1 },
["render"] = "\\frac{87}{1}",
["typ"] = "cislo" },
["tex"] = "87",
["x"] = 87 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.14",
["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"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10 - (-11)",
["typ"] = "minus" },
["render"] = "6 + (-7 \\cdot -10 - (-11))",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.15, bodu=9, $$5 - (8 + (-5) - (5 + 9)^2)=\textcolor{white}{198}$$return {
["body"] = 9,
["id"] = "ytoA9p_0823_2012",
["obtiznost"] = 0.2288,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 198,
["jmenovatel"] = 1 },
["render"] = "\\frac{198}{1}",
["typ"] = "cislo" },
["tex"] = "198",
["tex_float"] = "198",
["x"] = 198 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(5 + 9)^2",
["typ"] = "mocnina" },
["render"] = "8 + (-5) - (5 + 9)^2",
["typ"] = "minus" },
["render"] = "(8 + (-5) - (5 + 9)^2)",
["typ"] = "zavorka" },
["render"] = "5 - (8 + (-5) - (5 + 9)^2)",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.16, bodu=7, $$6 \cdot 5 \cdot -10=\textcolor{white}{-300}$$return {
["body"] = 7,
["id"] = "72tWF1_0823_2012",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -300,
["jmenovatel"] = 1 },
["render"] = "\\frac{-300}{1}",
["typ"] = "cislo" },
["tex"] = "-300",
["x"] = -300 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5 \\cdot -10",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.17, bodu=8, $$(8 - 9)^4 + 8 \cdot 8=\textcolor{white}{65}$$return {
["body"] = 8,
["id"] = "iMrOVF_0823_2012",
["obtiznost"] = 0.1708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 1 },
["render"] = "\\frac{65}{1}",
["typ"] = "cislo" },
["tex"] = "65",
["tex_float"] = "65",
["x"] = 65 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.17",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "(8 - 9)^4 + 8 \\cdot 8",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.18, bodu=31, $$9 - 8 \cdot (4\frac{5}{8} + 8)=\textcolor{white}{-92}$$return {
["body"] = 31,
["id"] = "eUA9Lw_0823_2012",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 1 },
["render"] = "\\frac{-92}{1}",
["typ"] = "cislo" },
["tex"] = "-92",
["x"] = -92 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + 8",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{8} + 8)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (4\\frac{5}{8} + 8)",
["typ"] = "krat" },
["render"] = "9 - 8 \\cdot (4\\frac{5}{8} + 8)",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.19, bodu=17, $$-6 \cdot \frac{11}{8}=\textcolor{white}{-8{,}25}$$return {
["body"] = 17,
["id"] = "YdV85T_0823_2012",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -8.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 4 },
["render"] = "\\frac{-66}{8}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{1}{4}",
["tex_float"] = "-8{,}25",
["x"] = -8,
["y"] = 1,
["z"] = 4 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["render"] = "-6 \\cdot \\frac{11}{8}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.2, bodu=18, $$\frac{\frac{9}{8}}{-7 - 7}=\textcolor{white}{-\frac{9}{112}}$$return {
["body"] = 18,
["id"] = "PeTDns_0823_2012",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -0.080357142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 112 },
["render"] = "\\frac{9}{-112}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{112}",
["y"] = -9,
["z"] = 112 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{9}{8}}{-7 - 7}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.21, bodu=19, $$12 \cdot 5 \cdot (12 - 7)^4=\textcolor{white}{37500}$$return {
["body"] = 19,
["id"] = "rOZxXk_0823_2012",
["obtiznost"] = 0.4604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 37500,
["jmenovatel"] = 1 },
["render"] = "\\frac{37500}{1}",
["typ"] = "cislo" },
["tex"] = "37500",
["tex_float"] = "37500",
["x"] = 37500 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(12 - 7)^4",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (12 - 7)^4",
["typ"] = "krat" },
["render"] = "12 \\cdot 5 \\cdot (12 - 7)^4",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.22, bodu=34, $$\frac{10}{1\frac{1}{3}} \cdot 10 - 6=\textcolor{white}{69}$$return {
["body"] = 34,
["id"] = "enaHKx_0823_2012",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 1 },
["render"] = "\\frac{69}{1}",
["typ"] = "cislo" },
["tex"] = "69",
["x"] = 69 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{1}{3}} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{1}{3}} \\cdot 10 - 6",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.23, bodu=35, $$-7 - (3\frac{3}{7} + (-13) - \frac{9}{10})=\textcolor{white}{3\frac{33}{70}}$$return {
["body"] = 35,
["id"] = "hjuVaP_0823_2012",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 3.4714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 70 },
["render"] = "\\frac{243}{70}",
["typ"] = "cislo" },
["tex"] = "3\\frac{33}{70}",
["x"] = 3,
["y"] = 33,
["z"] = 70 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + (-13)",
["typ"] = "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"] = "3\\frac{3}{7} + (-13) - \\frac{9}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{7} + (-13) - \\frac{9}{10})",
["typ"] = "zavorka" },
["render"] = "-7 - (3\\frac{3}{7} + (-13) - \\frac{9}{10})",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.24, bodu=36, $$9 - (3\frac{4}{7} + 11) - (5 - (-10))=\textcolor{white}{-20\frac{4}{7}}$$return {
["body"] = 36,
["id"] = "D5TaZZ_0823_2012",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -20.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -144,
["jmenovatel"] = 7 },
["render"] = "\\frac{-144}{7}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{4}{7}",
["x"] = -20,
["y"] = 4,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} + 11",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + 11)",
["typ"] = "zavorka" },
["render"] = "9 - (3\\frac{4}{7} + 11)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 - (-10)",
["typ"] = "minus" },
["render"] = "(5 - (-10))",
["typ"] = "zavorka" },
["render"] = "9 - (3\\frac{4}{7} + 11) - (5 - (-10))",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.25, bodu=21, $$8 - (5 + \frac{9}{5}) - 8=\textcolor{white}{-6{,}8}$$return {
["body"] = 21,
["id"] = "bavPxH_0823_2012",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -6.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 5 },
["render"] = "\\frac{-34}{5}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{4}{5}",
["tex_float"] = "-6{,}8",
["x"] = -6,
["y"] = 4,
["z"] = 5 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{9}{5}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{9}{5})",
["typ"] = "zavorka" },
["render"] = "8 - (5 + \\frac{9}{5})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 - (5 + \\frac{9}{5}) - 8",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.26, bodu=21, $$\frac{13}{8 \cdot 10} + 11=\textcolor{white}{11\frac{13}{80}}$$return {
["body"] = 21,
["id"] = "JLB8cS_0823_2012",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 11.1625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 893,
["jmenovatel"] = 80 },
["render"] = "\\frac{893}{80}",
["typ"] = "cislo" },
["tex"] = "11\\frac{13}{80}",
["x"] = 11,
["y"] = 13,
["z"] = 80 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{13}{8 \\cdot 10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{8 \\cdot 10} + 11",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.27, bodu=22, $$\frac{5 + 8}{8 \cdot 13}=\textcolor{white}{0{,}125}$$return {
["body"] = 22,
["id"] = "HnPybX_0823_2012",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{13}{104}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{5 + 8}{8 \\cdot 13}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.28, bodu=71, $$(6 + 3\frac{5}{8} - 8)^2 \cdot 2\frac{1}{4} \cdot 10=\textcolor{white}{59\frac{53}{128}}$$return {
["body"] = 71,
["id"] = "4eCBrC_0823_2012",
["obtiznost"] = 0.7732,
["reseni"] = {
["float"] = 59.4140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7605,
["jmenovatel"] = 128 },
["render"] = "\\frac{7605}{128}",
["typ"] = "cislo" },
["tex"] = "59\\frac{53}{128}",
["x"] = 59,
["y"] = 53,
["z"] = 128 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - 8",
["typ"] = "minus" },
["render"] = "6 + 3\\frac{5}{8} - 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 3\\frac{5}{8} - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot 10",
["typ"] = "krat" },
["render"] = "(6 + 3\\frac{5}{8} - 8)^2 \\cdot 2\\frac{1}{4} \\cdot 10",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.29, bodu=47, $$2\frac{2}{6} + (6 - (-7))^2 + (-9 - (-7))^2=\textcolor{white}{175\frac{1}{3}}$$return {
["body"] = 47,
["id"] = "UCHJ3Z_0823_2012",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 175.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 526,
["jmenovatel"] = 3 },
["render"] = "\\frac{526}{3}",
["typ"] = "cislo" },
["tex"] = "175\\frac{1}{3}",
["x"] = 175,
["y"] = 1,
["z"] = 3 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-9 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (-7))^2",
["typ"] = "mocnina" },
["render"] = "(6 - (-7))^2 + (-9 - (-7))^2",
["typ"] = "plus" },
["render"] = "2\\frac{2}{6} + (6 - (-7))^2 + (-9 - (-7))^2",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.3, bodu=24, $$12 + \frac{11 + 6 + (-9)}{-7}=\textcolor{white}{10\frac{6}{7}}$$return {
["body"] = 24,
["id"] = "gZfmFs_0823_2012",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 10.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 76,
["jmenovatel"] = 7 },
["render"] = "\\frac{76}{7}",
["typ"] = "cislo" },
["tex"] = "10\\frac{6}{7}",
["x"] = 10,
["y"] = 6,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + 6 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 6 + (-9)}{-7}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{11 + 6 + (-9)}{-7}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.31, bodu=25, $$(\frac{11}{11} - \frac{4}{8})^2=\textcolor{white}{0{,}25}$$return {
["body"] = 25,
["id"] = "Qzndhu_0823_2012",
["obtiznost"] = 0.312,
["reseni"] = {
["float"] = 0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 4 },
["render"] = "\\frac{1}{4}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{4}",
["tex_float"] = "0{,}25",
["y"] = 1,
["z"] = 4 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.31",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{11} - \\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{11} - \\frac{4}{8})^2",
["typ"] = "mocnina" } }
seed: Ay008ZqlD7Uox6a0rONL_0.32, bodu=64, $$\frac{9 \cdot 4\frac{5}{6}}{5} + 2\frac{4}{7}=\textcolor{white}{11\frac{19}{70}}$$return {
["body"] = 64,
["id"] = "Ky5pNK_0823_2012",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 11.271428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 789,
["jmenovatel"] = 70 },
["render"] = "\\frac{789}{70}",
["typ"] = "cislo" },
["tex"] = "11\\frac{19}{70}",
["x"] = 11,
["y"] = 19,
["z"] = 70 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 4\\frac{5}{6}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 4\\frac{5}{6}}{5} + 2\\frac{4}{7}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.33, bodu=58, $$(6 \cdot 3)^2 \cdot 4\frac{5}{11} - (-5)=\textcolor{white}{1448\frac{3}{11}}$$return {
["body"] = 58,
["id"] = "zGa3Tm_0823_2012",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 1448.2727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15931,
["jmenovatel"] = 11 },
["render"] = "\\frac{15931}{11}",
["typ"] = "cislo" },
["tex"] = "1448\\frac{3}{11}",
["x"] = 1448,
["y"] = 3,
["z"] = 11 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 3)^2 \\cdot 4\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 3)^2 \\cdot 4\\frac{5}{11} - (-5)",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.34, bodu=45, $$7 \cdot 9 + 2\frac{2}{8} + (-9 + 13)=\textcolor{white}{69{,}25}$$return {
["body"] = 45,
["id"] = "qQOfKh_0823_2012",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 69.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 277,
["jmenovatel"] = 4 },
["render"] = "\\frac{277}{4}",
["typ"] = "cislo" },
["tex"] = "69\\frac{1}{4}",
["tex_float"] = "69{,}25",
["x"] = 69,
["y"] = 1,
["z"] = 4 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["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"] = "2\\frac{2}{8} + (-9 + 13)",
["typ"] = "plus" },
["render"] = "7 \\cdot 9 + 2\\frac{2}{8} + (-9 + 13)",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.35, bodu=68, $$\frac{5}{3\frac{5}{7}} \cdot (4\frac{5}{9} - 13 + 12)=\textcolor{white}{4\frac{92}{117}}$$return {
["body"] = 68,
["id"] = "t8Cmgs_0823_2012",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 4.7863247863248,
["objekt"] = {
["hodnota"] = {
["citatel"] = 560,
["jmenovatel"] = 117 },
["render"] = "\\frac{1120}{234}",
["typ"] = "cislo" },
["tex"] = "4\\frac{92}{117}",
["x"] = 4,
["y"] = 92,
["z"] = 117 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 13 + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} - 13 + 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{3\\frac{5}{7}} \\cdot (4\\frac{5}{9} - 13 + 12)",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.36, bodu=47, $$-10 - (2\frac{2}{7} - (-6) - 9) + (-7)=\textcolor{white}{-16\frac{2}{7}}$$return {
["body"] = 47,
["id"] = "e285GQ_0823_2012",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -16.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -114,
["jmenovatel"] = 7 },
["render"] = "\\frac{-114}{7}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{2}{7}",
["x"] = -16,
["y"] = 2,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - (-6) - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{7} - (-6) - 9)",
["typ"] = "zavorka" },
["render"] = "-10 - (2\\frac{2}{7} - (-6) - 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 - (2\\frac{2}{7} - (-6) - 9) + (-7)",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.37, bodu=15, $$10 + 8 - 12 - (13 - (-9))=\textcolor{white}{-16}$$return {
["body"] = 15,
["id"] = "Si8EOE_0823_2012",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16}{1}",
["typ"] = "cislo" },
["tex"] = "-16",
["x"] = -16 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 - 12",
["typ"] = "minus" },
["render"] = "10 + 8 - 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 - (-9)",
["typ"] = "minus" },
["render"] = "(13 - (-9))",
["typ"] = "zavorka" },
["render"] = "10 + 8 - 12 - (13 - (-9))",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.38, bodu=49, $$\frac{13 + 9}{-11 \cdot 2\frac{4}{7}}=\textcolor{white}{-\frac{7}{9}}$$return {
["body"] = 49,
["id"] = "FdF69z_0823_2012",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -0.77777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 9 },
["render"] = "\\frac{154}{-198}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{9}",
["y"] = -7,
["z"] = 9 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.38",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{13 + 9}{-11 \\cdot 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.39, bodu=50, $$\frac{-8 + (-7 + 7)^3}{2\frac{1}{2} \cdot 15}=\textcolor{white}{-\frac{16}{75}}$$return {
["body"] = 50,
["id"] = "xZZ5pQ_0823_2012",
["obtiznost"] = 0.5904,
["reseni"] = {
["float"] = -0.21333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 75 },
["render"] = "\\frac{-16}{75}",
["typ"] = "cislo" },
["tex"] = "-\\frac{16}{75}",
["y"] = -16,
["z"] = 75 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 + 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 7)^3",
["typ"] = "mocnina" },
["render"] = "-8 + (-7 + 7)^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{-8 + (-7 + 7)^3}{2\\frac{1}{2} \\cdot 15}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.4, bodu=51, $$2\frac{2}{6} + (-10) - 8 \cdot (14 + (-6)) + 8=\textcolor{white}{-63\frac{2}{3}}$$return {
["body"] = 51,
["id"] = "pvXS4d_0823_2012",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -63.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -191,
["jmenovatel"] = 3 },
["render"] = "\\frac{-191}{3}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{2}{3}",
["x"] = -63,
["y"] = 2,
["z"] = 3 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "14 + (-6)",
["typ"] = "plus" },
["render"] = "(14 + (-6))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (14 + (-6))",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} + (-10) - 8 \\cdot (14 + (-6))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + (-10) - 8 \\cdot (14 + (-6)) + 8",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.41, bodu=52, $$15 \cdot \frac{-12}{1\frac{4}{8} + 9 + (-9)}=\textcolor{white}{-120}$$return {
["body"] = 52,
["id"] = "S3nXba_0823_2012",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -120,
["jmenovatel"] = 1 },
["render"] = "\\frac{-120}{1}",
["typ"] = "cislo" },
["tex"] = "-120",
["x"] = -120 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 9 + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{-12}{1\\frac{4}{8} + 9 + (-9)}",
["typ"] = "lomeno" },
["render"] = "15 \\cdot \\frac{-12}{1\\frac{4}{8} + 9 + (-9)}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.42, bodu=53, $$\frac{1\frac{3}{8} + 11}{\frac{\frac{13}{-10}}{-5}}=\textcolor{white}{47\frac{31}{52}}$$return {
["body"] = 53,
["id"] = "wTInFW_0823_2012",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 47.596153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2475,
["jmenovatel"] = 52 },
["render"] = "\\frac{4950}{104}",
["typ"] = "cislo" },
["tex"] = "47\\frac{31}{52}",
["x"] = 47,
["y"] = 31,
["z"] = 52 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{-10}}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{8} + 11}{\\frac{\\frac{13}{-10}}{-5}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.43, bodu=35, $$(\frac{13}{11} + 13) \cdot 4 + 12=\textcolor{white}{68\frac{8}{11}}$$return {
["body"] = 35,
["id"] = "oaGHqe_0823_2012",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 68.727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 756,
["jmenovatel"] = 11 },
["render"] = "\\frac{756}{11}",
["typ"] = "cislo" },
["tex"] = "68\\frac{8}{11}",
["x"] = 68,
["y"] = 8,
["z"] = 11 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{11} + 13",
["typ"] = "plus" },
["render"] = "(\\frac{13}{11} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{11} + 13) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{11} + 13) \\cdot 4 + 12",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.44, bodu=56, $$17 + 7 + 8 + (-10 - 1\frac{2}{7}) - 9=\textcolor{white}{11\frac{5}{7}}$$return {
["body"] = 56,
["id"] = "BBhO50_0823_2012",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 11.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 82,
["jmenovatel"] = 7 },
["render"] = "\\frac{82}{7}",
["typ"] = "cislo" },
["tex"] = "11\\frac{5}{7}",
["x"] = 11,
["y"] = 5,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "17 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "17 + 7 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "17 + 7 + 8 + (-10 - 1\\frac{2}{7})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "17 + 7 + 8 + (-10 - 1\\frac{2}{7}) - 9",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.45, bodu=44, $$\frac{(\frac{8}{10})^3}{\frac{-7}{-10}}=\textcolor{white}{\frac{128}{175}}$$return {
["body"] = 44,
["id"] = "1r0FmK_0823_2012",
["obtiznost"] = 0.5256,
["reseni"] = {
["float"] = 0.73142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 175 },
["render"] = "\\frac{640}{875}",
["typ"] = "cislo" },
["tex"] = "\\frac{128}{175}",
["y"] = 128,
["z"] = 175 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{8}{10})^3}{\\frac{-7}{-10}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.46, bodu=81, $$6 + 10 \cdot 1\frac{2}{7} - (9 - 1\frac{2}{4})=\textcolor{white}{11\frac{5}{14}}$$return {
["body"] = 81,
["id"] = "X1b4El_0823_2012",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 11.357142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 14 },
["render"] = "\\frac{159}{14}",
["typ"] = "cislo" },
["tex"] = "11\\frac{5}{14}",
["x"] = 11,
["y"] = 5,
["z"] = 14 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 1\\frac{2}{7} - (9 - 1\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "6 + 10 \\cdot 1\\frac{2}{7} - (9 - 1\\frac{2}{4})",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.47, bodu=59, $$\frac{-10}{13 - 4\frac{5}{11} \cdot \frac{10}{4}}=\textcolor{white}{-5\frac{15}{41}}$$return {
["body"] = 59,
["id"] = "LSGesr_0823_2012",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -5.3658536585366,
["objekt"] = {
["hodnota"] = {
["citatel"] = -220,
["jmenovatel"] = 41 },
["render"] = "\\frac{-220}{41}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{15}{41}",
["x"] = -5,
["y"] = 15,
["z"] = 41 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} \\cdot \\frac{10}{4}",
["typ"] = "krat" },
["render"] = "13 - 4\\frac{5}{11} \\cdot \\frac{10}{4}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{13 - 4\\frac{5}{11} \\cdot \\frac{10}{4}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.48, bodu=60, $$-5 + \frac{2\frac{3}{5}}{-11} + (\frac{-10}{10})^4=\textcolor{white}{-4\frac{13}{55}}$$return {
["body"] = 60,
["id"] = "TvjBNY_0823_2012",
["obtiznost"] = 0.6808,
["reseni"] = {
["float"] = -4.2363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -233,
["jmenovatel"] = 55 },
["render"] = "\\frac{-233}{55}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{13}{55}",
["x"] = -4,
["y"] = 13,
["z"] = 55 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5}}{-11}",
["typ"] = "lomeno" },
["render"] = "-5 + \\frac{2\\frac{3}{5}}{-11}",
["typ"] = "plus" },
["c2"] = {
["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"] = 4,
["render"] = "(\\frac{-10}{10})^4",
["typ"] = "mocnina" },
["render"] = "-5 + \\frac{2\\frac{3}{5}}{-11} + (\\frac{-10}{10})^4",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.49, bodu=46, $$-11 - \frac{8 \cdot (7 - (-5))^2}{-11}=\textcolor{white}{93\frac{8}{11}}$$return {
["body"] = 46,
["id"] = "cYlyPp_0823_2012",
["obtiznost"] = 0.548,
["reseni"] = {
["float"] = 93.727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1031,
["jmenovatel"] = 11 },
["render"] = "\\frac{1031}{11}",
["typ"] = "cislo" },
["tex"] = "93\\frac{8}{11}",
["x"] = 93,
["y"] = 8,
["z"] = 11 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (7 - (-5))^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot (7 - (-5))^2}{-11}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{8 \\cdot (7 - (-5))^2}{-11}",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.5, bodu=86, $$11 + (-10 + 4\frac{4}{8} + \frac{-11}{-15 + 1\frac{4}{10}})=\textcolor{white}{6\frac{21}{68}}$$return {
["body"] = 86,
["id"] = "aUwDra_0823_2012",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 6.3088235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = 429,
["jmenovatel"] = 68 },
["render"] = "\\frac{429}{68}",
["typ"] = "cislo" },
["tex"] = "6\\frac{21}{68}",
["x"] = 6,
["y"] = 21,
["z"] = 68 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-15 + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-11}{-15 + 1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{8} + \\frac{-11}{-15 + 1\\frac{4}{10}}",
["typ"] = "plus" },
["render"] = "-10 + 4\\frac{4}{8} + \\frac{-11}{-15 + 1\\frac{4}{10}}",
["typ"] = "plus" },
["render"] = "11 + (-10 + 4\\frac{4}{8} + \\frac{-11}{-15 + 1\\frac{4}{10}})",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.51, bodu=64, $$\frac{-9 + \frac{9}{(10 + (-8))^4}}{4\frac{5}{9}}=\textcolor{white}{-1\frac{559}{656}}$$return {
["body"] = 64,
["id"] = "OlvphA_0823_2012",
["obtiznost"] = 0.7168,
["reseni"] = {
["float"] = -1.8521341463415,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1215,
["jmenovatel"] = 656 },
["render"] = "\\frac{-1215}{656}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{559}{656}",
["x"] = -1,
["y"] = 559,
["z"] = 656 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + (-8))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(10 + (-8))^4}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{9}{(10 + (-8))^4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + \\frac{9}{(10 + (-8))^4}}{4\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.52, bodu=89, $$1\frac{3}{8} - (-10) + 9 - 12 + 3\frac{5}{10} + 8=\textcolor{white}{19{,}875}$$return {
["body"] = 89,
["id"] = "9nDqHs_0823_2012",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 19.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 8 },
["render"] = "\\frac{159}{8}",
["typ"] = "cislo" },
["tex"] = "19\\frac{7}{8}",
["tex_float"] = "19{,}875",
["x"] = 19,
["y"] = 7,
["z"] = 8 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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} - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 - 12",
["typ"] = "minus" },
["render"] = "1\\frac{3}{8} - (-10) + 9 - 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-10) + 9 - 12 + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-10) + 9 - 12 + 3\\frac{5}{10} + 8",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.53, bodu=44, $$12 \cdot 12 \cdot \frac{12}{8}=\textcolor{white}{216}$$return {
["body"] = 44,
["id"] = "g1lZDh_0823_2012",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 1 },
["render"] = "\\frac{432}{2}",
["typ"] = "cislo" },
["tex"] = "216",
["tex_float"] = "216",
["x"] = 216 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{8}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot 12 \\cdot \\frac{12}{8}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.54, bodu=92, $$\frac{11}{\frac{15 + \frac{-14}{1\frac{4}{9}}}{3\frac{1}{3}}}=\textcolor{white}{6\frac{188}{207}}$$return {
["body"] = 92,
["id"] = "05oGau_0823_2012",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 6.9082125603865,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1430,
["jmenovatel"] = 207 },
["render"] = "\\frac{1430}{207}",
["typ"] = "cislo" },
["tex"] = "6\\frac{188}{207}",
["x"] = 6,
["y"] = 188,
["z"] = 207 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{-14}{1\\frac{4}{9}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{15 + \\frac{-14}{1\\frac{4}{9}}}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{15 + \\frac{-14}{1\\frac{4}{9}}}{3\\frac{1}{3}}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.55, bodu=46, $$\frac{\frac{16}{5 \cdot -11}}{-15 - 14}=\textcolor{white}{\frac{16}{1595}}$$return {
["body"] = 46,
["id"] = "5jQFuz_0823_2012",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.010031347962382,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1595 },
["render"] = "\\frac{-16}{-1595}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{1595}",
["y"] = 16,
["z"] = 1595 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "5 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{16}{5 \\cdot -11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-15 - 14",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{16}{5 \\cdot -11}}{-15 - 14}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.56, bodu=47, $$\frac{-6 \cdot 9}{-12 \cdot 14}=\textcolor{white}{\frac{9}{28}}$$return {
["body"] = 47,
["id"] = "9dLJ5a_0823_2012",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 0.32142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 28 },
["render"] = "\\frac{-54}{-168}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{28}",
["y"] = 9,
["z"] = 28 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "\\frac{-6 \\cdot 9}{-12 \\cdot 14}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.57, bodu=95, $$(4\frac{1}{5} - 7) \cdot 7 + \frac{4\frac{2}{9}}{13}=\textcolor{white}{-19\frac{161}{585}}$$return {
["body"] = 95,
["id"] = "JnzdaF_0823_2012",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -19.275213675214,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11276,
["jmenovatel"] = 585 },
["render"] = "\\frac{-11276}{585}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{161}{585}",
["x"] = -19,
["y"] = 161,
["z"] = 585 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - 7",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{5} - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{5} - 7) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{13}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{1}{5} - 7) \\cdot 7 + \\frac{4\\frac{2}{9}}{13}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.58, bodu=71, $$\frac{\frac{\frac{2\frac{3}{8}}{-13}}{7}}{-12}=\textcolor{white}{\frac{19}{8736}}$$return {
["body"] = 71,
["id"] = "PBT8Qz_0823_2012",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 0.0021749084249084,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8736 },
["render"] = "\\frac{-19}{-8736}",
["typ"] = "cislo" },
["tex"] = "\\frac{19}{8736}",
["y"] = 19,
["z"] = 8736 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{8}}{-13}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{3}{8}}{-13}}{7}}{-12}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.59, bodu=126, $$7 \cdot (\frac{3\frac{5}{13}}{-10} + 4\frac{5}{7} + 3\frac{3}{9} - (-8))=\textcolor{white}{109\frac{188}{195}}$$return {
["body"] = 126,
["id"] = "tT3PuW_0823_2012",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 109.9641025641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21443,
["jmenovatel"] = 195 },
["render"] = "\\frac{150101}{1365}",
["typ"] = "cislo" },
["tex"] = "109\\frac{188}{195}",
["x"] = 109,
["y"] = 188,
["z"] = 195 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{-10} + 4\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{-10} + 4\\frac{5}{7} + 3\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{-10} + 4\\frac{5}{7} + 3\\frac{3}{9} - (-8)",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{5}{13}}{-10} + 4\\frac{5}{7} + 3\\frac{3}{9} - (-8))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (\\frac{3\\frac{5}{13}}{-10} + 4\\frac{5}{7} + 3\\frac{3}{9} - (-8))",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.6, bodu=100, $$\frac{4\frac{3}{4} - 15}{6} \cdot 11 \cdot 4\frac{3}{9}=\textcolor{white}{-81\frac{31}{72}}$$return {
["body"] = 100,
["id"] = "ULewaw_0823_2012",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -81.430555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5863,
["jmenovatel"] = 72 },
["render"] = "\\frac{-5863}{72}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{31}{72}",
["x"] = -81,
["y"] = 31,
["z"] = 72 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{4} - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{4} - 15}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{4} - 15}{6} \\cdot 11 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.61, bodu=101, $$\frac{\frac{-8}{1\frac{3}{6} + (-15)} - 3\frac{4}{11}}{-14 + (-2)}=\textcolor{white}{\frac{823}{4752}}$$return {
["body"] = 101,
["id"] = "3pWohk_0823_2012",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 0.17319023569024,
["objekt"] = {
["hodnota"] = {
["citatel"] = 823,
["jmenovatel"] = 4752 },
["render"] = "\\frac{-823}{-4752}",
["typ"] = "cislo" },
["tex"] = "\\frac{823}{4752}",
["y"] = 823,
["z"] = 4752 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + (-15)",
["typ"] = "plus" },
["render"] = "\\frac{-8}{1\\frac{3}{6} + (-15)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{3}{6} + (-15)} - 3\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "-14 + (-2)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-8}{1\\frac{3}{6} + (-15)} - 3\\frac{4}{11}}{-14 + (-2)}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.62, bodu=94, $$-18 - ((18 + (-11))^3 - (-6)) - \frac{3\frac{3}{11}}{6}=\textcolor{white}{-367\frac{6}{11}}$$return {
["body"] = 94,
["id"] = "S8SvMl_0823_2012",
["obtiznost"] = 0.9576,
["reseni"] = {
["float"] = -367.54545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4043,
["jmenovatel"] = 11 },
["render"] = "\\frac{-4043}{11}",
["typ"] = "cislo" },
["tex"] = "-367\\frac{6}{11}",
["x"] = -367,
["y"] = 6,
["z"] = 11 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "18 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(18 + (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(18 + (-11))^3 - (-6)",
["typ"] = "minus" },
["render"] = "((18 + (-11))^3 - (-6))",
["typ"] = "zavorka" },
["render"] = "-18 - ((18 + (-11))^3 - (-6))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{11}}{6}",
["typ"] = "lomeno" },
["render"] = "-18 - ((18 + (-11))^3 - (-6)) - \\frac{3\\frac{3}{11}}{6}",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.63, bodu=104, $$\frac{\frac{(-10 + (-12))^2}{12}}{(17 + (-14))^3 + 3\frac{4}{9}}=\textcolor{white}{1\frac{89}{274}}$$return {
["body"] = 104,
["id"] = "nOx9Sq_0823_2012",
["obtiznost"] = 1.0352,
["reseni"] = {
["float"] = 1.3248175182482,
["objekt"] = {
["hodnota"] = {
["citatel"] = 363,
["jmenovatel"] = 274 },
["render"] = "\\frac{1089}{822}",
["typ"] = "cislo" },
["tex"] = "1\\frac{89}{274}",
["x"] = 1,
["y"] = 89,
["z"] = 274 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{(-10 + (-12))^2}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "17 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(17 + (-14))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(17 + (-14))^3 + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{(-10 + (-12))^2}{12}}{(17 + (-14))^3 + 3\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.64, bodu=134, $$\frac{-8}{1\frac{4}{7}} - (-10) + 9 - (4\frac{1}{6} + 3\frac{5}{6})=\textcolor{white}{5\frac{10}{11}}$$return {
["body"] = 134,
["id"] = "Zwrx6m_0823_2012",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 5.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 11 },
["render"] = "\\frac{65}{11}",
["typ"] = "cislo" },
["tex"] = "5\\frac{10}{11}",
["x"] = 5,
["y"] = 10,
["z"] = 11 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{4}{7}} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{4}{7}} - (-10) + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 3\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + 3\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{-8}{1\\frac{4}{7}} - (-10) + 9 - (4\\frac{1}{6} + 3\\frac{5}{6})",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.65, bodu=80, $$\frac{-10 + 4\frac{1}{8}}{11 \cdot 18} + (-3 - (-15))=\textcolor{white}{11\frac{1537}{1584}}$$return {
["body"] = 80,
["id"] = "izdzR7_0823_2012",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 11.970328282828,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18961,
["jmenovatel"] = 1584 },
["render"] = "\\frac{18961}{1584}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1537}{1584}",
["x"] = 11,
["y"] = 1537,
["z"] = 1584 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-10 + 4\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "11 \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{-10 + 4\\frac{1}{8}}{11 \\cdot 18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-3 - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{-10 + 4\\frac{1}{8}}{11 \\cdot 18} + (-3 - (-15))",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.66, bodu=104, $$15 + (-10 + 2\frac{1}{6} - (\frac{-12}{-17})^2 - (-14))=\textcolor{white}{20\frac{1159}{1734}}$$return {
["body"] = 104,
["id"] = "EhhykG_0823_2012",
["obtiznost"] = 1.0332,
["reseni"] = {
["float"] = 20.668396770473,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35839,
["jmenovatel"] = 1734 },
["render"] = "\\frac{35839}{1734}",
["typ"] = "cislo" },
["tex"] = "20\\frac{1159}{1734}",
["x"] = 20,
["y"] = 1159,
["z"] = 1734 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{-17})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{6} - (\\frac{-12}{-17})^2",
["typ"] = "minus" },
["render"] = "-10 + 2\\frac{1}{6} - (\\frac{-12}{-17})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-10 + 2\\frac{1}{6} - (\\frac{-12}{-17})^2 - (-14)",
["typ"] = "minus" },
["render"] = "15 + (-10 + 2\\frac{1}{6} - (\\frac{-12}{-17})^2 - (-14))",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.67, bodu=138, $$-12 + \frac{\frac{\frac{3\frac{1}{4}}{4\frac{3}{5}}}{1\frac{5}{11}}}{11}=\textcolor{white}{-11\frac{1407}{1472}}$$return {
["body"] = 138,
["id"] = "4xYKPI_0823_2012",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -11.955842391304,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17599,
["jmenovatel"] = 1472 },
["render"] = "\\frac{-17599}{1472}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1407}{1472}",
["x"] = -11,
["y"] = 1407,
["z"] = 1472 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{1\\frac{5}{11}}}{11}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{\\frac{\\frac{3\\frac{1}{4}}{4\\frac{3}{5}}}{1\\frac{5}{11}}}{11}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.68, bodu=84, $$-10 + (-11) - (-4 \cdot -15) + (-11 - 3\frac{2}{9})=\textcolor{white}{-95\frac{2}{9}}$$return {
["body"] = 84,
["id"] = "TOOYGx_0823_2012",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -95.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -857,
["jmenovatel"] = 9 },
["render"] = "\\frac{-857}{9}",
["typ"] = "cislo" },
["tex"] = "-95\\frac{2}{9}",
["x"] = -95,
["y"] = 2,
["z"] = 9 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -15",
["typ"] = "krat" },
["render"] = "-10 + (-11) - (-4 \\cdot -15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "-10 + (-11) - (-4 \\cdot -15) + (-11 - 3\\frac{2}{9})",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.69, bodu=69, $$(9 - (17 - (-9)) \cdot \frac{-11}{-13})^2=\textcolor{white}{169}$$return {
["body"] = 69,
["id"] = "cY2MNH_0823_2012",
["obtiznost"] = 0.758,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 1 },
["render"] = "\\frac{169}{1}",
["typ"] = "cislo" },
["tex"] = "169",
["x"] = 169 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.69",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(17 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-13}",
["typ"] = "lomeno" },
["render"] = "(17 - (-9)) \\cdot \\frac{-11}{-13}",
["typ"] = "krat" },
["render"] = "9 - (17 - (-9)) \\cdot \\frac{-11}{-13}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (17 - (-9)) \\cdot \\frac{-11}{-13})^2",
["typ"] = "mocnina" } }
seed: Ay008ZqlD7Uox6a0rONL_0.7, bodu=113, $$(-7 + 6)^3 + 16 - (-8) + (-7) + 1\frac{5}{11} - 3\frac{3}{8}=\textcolor{white}{14\frac{7}{88}}$$return {
["body"] = 113,
["id"] = "snLRuI_0823_2012",
["obtiznost"] = 1.1008,
["reseni"] = {
["float"] = 14.079545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1239,
["jmenovatel"] = 88 },
["render"] = "\\frac{1239}{88}",
["typ"] = "cislo" },
["tex"] = "14\\frac{7}{88}",
["x"] = 14,
["y"] = 7,
["z"] = 88 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.7",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "16 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "16 - (-8) + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "16 - (-8) + (-7) + 1\\frac{5}{11} - 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-7 + 6)^3 + 16 - (-8) + (-7) + 1\\frac{5}{11} - 3\\frac{3}{8}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.71, bodu=88, $$\frac{9}{4\frac{5}{11} - \frac{-12}{-16}} \cdot 15=\textcolor{white}{36\frac{72}{163}}$$return {
["body"] = 88,
["id"] = "0K2EFc_0823_2012",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 36.441717791411,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5940,
["jmenovatel"] = 163 },
["render"] = "\\frac{5940}{163}",
["typ"] = "cislo" },
["tex"] = "36\\frac{72}{163}",
["x"] = 36,
["y"] = 72,
["z"] = 163 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-16}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} - \\frac{-12}{-16}",
["typ"] = "minus" },
["render"] = "\\frac{9}{4\\frac{5}{11} - \\frac{-12}{-16}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{11} - \\frac{-12}{-16}} \\cdot 15",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.72, bodu=140, $$\frac{-14}{13} - \frac{1\frac{3}{7}}{(-18 - 12)^2}=\textcolor{white}{-1\frac{643}{8190}}$$return {
["body"] = 140,
["id"] = "mUVnSm_0823_2012",
["obtiznost"] = 1.2804,
["reseni"] = {
["float"] = -1.0785103785104,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8833,
["jmenovatel"] = 8190 },
["render"] = "\\frac{-8833}{8190}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{643}{8190}",
["x"] = -1,
["y"] = 643,
["z"] = 8190 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-18 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-18 - 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{7}}{(-18 - 12)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{13} - \\frac{1\\frac{3}{7}}{(-18 - 12)^2}",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.73, bodu=102, $$\frac{(11 - 5)^3}{\frac{-10}{1\frac{5}{9} - (-13)}}=\textcolor{white}{-314{,}4}$$return {
["body"] = 102,
["id"] = "1vvW9P_0823_2012",
["obtiznost"] = 1.0168,
["reseni"] = {
["float"] = -314.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1572,
["jmenovatel"] = 5 },
["render"] = "\\frac{28296}{-90}",
["typ"] = "cislo" },
["tex"] = "-314\\frac{2}{5}",
["tex_float"] = "-314{,}4",
["x"] = -314,
["y"] = 2,
["z"] = 5 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{-10}{1\\frac{5}{9} - (-13)}",
["typ"] = "lomeno" },
["render"] = "\\frac{(11 - 5)^3}{\\frac{-10}{1\\frac{5}{9} - (-13)}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.74, bodu=119, $$4\frac{1}{9} + 13 + \frac{9}{4\frac{5}{13}} - 5 \cdot -10=\textcolor{white}{69\frac{28}{171}}$$return {
["body"] = 119,
["id"] = "aQ6LdP_0823_2012",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 69.163742690058,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11827,
["jmenovatel"] = 171 },
["render"] = "\\frac{11827}{171}",
["typ"] = "cislo" },
["tex"] = "69\\frac{28}{171}",
["x"] = 69,
["y"] = 28,
["z"] = 171 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{9}{4\\frac{5}{13}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 \\cdot -10",
["typ"] = "krat" },
["render"] = "13 + \\frac{9}{4\\frac{5}{13}} - 5 \\cdot -10",
["typ"] = "minus" },
["render"] = "4\\frac{1}{9} + 13 + \\frac{9}{4\\frac{5}{13}} - 5 \\cdot -10",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.75, bodu=120, $$(\frac{1\frac{3}{12}}{2\frac{1}{3}} + (-4)) \cdot \frac{13}{5}=\textcolor{white}{-9\frac{1}{140}}$$return {
["body"] = 120,
["id"] = "TXbFZl_0823_2012",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -9.0071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1261,
["jmenovatel"] = 140 },
["render"] = "\\frac{-1261}{140}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{1}{140}",
["x"] = -9,
["y"] = 1,
["z"] = 140 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{12}}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{12}}{2\\frac{1}{3}} + (-4)",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{3}{12}}{2\\frac{1}{3}} + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{5}",
["typ"] = "lomeno" },
["render"] = "(\\frac{1\\frac{3}{12}}{2\\frac{1}{3}} + (-4)) \\cdot \\frac{13}{5}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.76, bodu=185, $$4\frac{3}{9} - (-13 - 16) - 3\frac{3}{8} - 2\frac{5}{12} + 1\frac{5}{9}=\textcolor{white}{29\frac{7}{72}}$$return {
["body"] = 185,
["id"] = "Ti9suK_0823_2012",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 29.097222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2095,
["jmenovatel"] = 72 },
["render"] = "\\frac{6285}{216}",
["typ"] = "cislo" },
["tex"] = "29\\frac{7}{72}",
["x"] = 29,
["y"] = 7,
["z"] = 72 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 - 16",
["typ"] = "minus" },
["render"] = "(-13 - 16)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} - (-13 - 16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - (-13 - 16) - 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - (-13 - 16) - 3\\frac{3}{8} - 2\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} - (-13 - 16) - 3\\frac{3}{8} - 2\\frac{5}{12} + 1\\frac{5}{9}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.77, bodu=123, $$7 \cdot (-19 + 2\frac{2}{10}) \cdot 3\frac{3}{11} \cdot -6=\textcolor{white}{2309\frac{13}{55}}$$return {
["body"] = 123,
["id"] = "HJRHnY_0823_2012",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 2309.2363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127008,
["jmenovatel"] = 55 },
["render"] = "\\frac{127008}{55}",
["typ"] = "cislo" },
["tex"] = "2309\\frac{13}{55}",
["x"] = 2309,
["y"] = 13,
["z"] = 55 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-19 + 2\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(-19 + 2\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-19 + 2\\frac{2}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} \\cdot -6",
["typ"] = "krat" },
["render"] = "7 \\cdot (-19 + 2\\frac{2}{10}) \\cdot 3\\frac{3}{11} \\cdot -6",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.78, bodu=125, $$\frac{-16}{\frac{4\frac{4}{10}}{13}} + (-3 + 2\frac{2}{6} - 6)=\textcolor{white}{-53\frac{31}{33}}$$return {
["body"] = 125,
["id"] = "V8CdGY_0823_2012",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -53.939393939394,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1780,
["jmenovatel"] = 33 },
["render"] = "\\frac{-1780}{33}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{31}{33}",
["x"] = -53,
["y"] = 31,
["z"] = 33 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16}{\\frac{4\\frac{4}{10}}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-3 + 2\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 + 2\\frac{2}{6} - 6",
["typ"] = "minus" },
["render"] = "\\frac{-16}{\\frac{4\\frac{4}{10}}{13}} + (-3 + 2\\frac{2}{6} - 6)",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.79, bodu=126, $$13 - 4\frac{2}{10} \cdot 17 - 13 - (-11 - 2\frac{4}{9})=\textcolor{white}{-57\frac{43}{45}}$$return {
["body"] = 126,
["id"] = "aWM88w_0823_2012",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -57.955555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2608,
["jmenovatel"] = 45 },
["render"] = "\\frac{-2608}{45}",
["typ"] = "cislo" },
["tex"] = "-57\\frac{43}{45}",
["x"] = -57,
["y"] = 43,
["z"] = 45 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot 17",
["typ"] = "krat" },
["render"] = "13 - 4\\frac{2}{10} \\cdot 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "13 - 4\\frac{2}{10} \\cdot 17 - 13",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-11 - 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "13 - 4\\frac{2}{10} \\cdot 17 - 13 - (-11 - 2\\frac{4}{9})",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.8, bodu=192, $$4\frac{5}{11} \cdot 11 \cdot (1\frac{2}{4} - \frac{4\frac{5}{11}}{\frac{-5}{2\frac{1}{7}}})=\textcolor{white}{167\frac{1}{22}}$$return {
["body"] = 192,
["id"] = "enOfaN_0823_2012",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 167.04545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3675,
["jmenovatel"] = 22 },
["render"] = "\\frac{3675}{22}",
["typ"] = "cislo" },
["tex"] = "167\\frac{1}{22}",
["x"] = 167,
["y"] = 1,
["z"] = 22 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{-5}{2\\frac{1}{7}}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{4} - \\frac{4\\frac{5}{11}}{\\frac{-5}{2\\frac{1}{7}}}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{4} - \\frac{4\\frac{5}{11}}{\\frac{-5}{2\\frac{1}{7}}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{11} \\cdot 11 \\cdot (1\\frac{2}{4} - \\frac{4\\frac{5}{11}}{\\frac{-5}{2\\frac{1}{7}}})",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.81, bodu=160, $$-3 \cdot \frac{9}{1\frac{2}{11} - (1\frac{4}{9} - (-19)) + 17 + 3\frac{2}{6}}=\textcolor{white}{-25\frac{23}{106}}$$return {
["body"] = 160,
["id"] = "SnwVMv_0823_2012",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -25.216981132075,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2673,
["jmenovatel"] = 106 },
["render"] = "\\frac{-2673}{106}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{23}{106}",
["x"] = -25,
["y"] = 23,
["z"] = 106 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - (-19)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - (-19))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{11} - (1\\frac{4}{9} - (-19))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "17 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "1\\frac{2}{11} - (1\\frac{4}{9} - (-19)) + 17 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "\\frac{9}{1\\frac{2}{11} - (1\\frac{4}{9} - (-19)) + 17 + 3\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "-3 \\cdot \\frac{9}{1\\frac{2}{11} - (1\\frac{4}{9} - (-19)) + 17 + 3\\frac{2}{6}}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.82, bodu=102, $$\frac{-12 \cdot -8}{4 \cdot -14 \cdot 4\frac{1}{8}}=\textcolor{white}{-\frac{32}{77}}$$return {
["body"] = 102,
["id"] = "vBI9UQ_0823_2012",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -0.41558441558442,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 77 },
["render"] = "\\frac{96}{-231}",
["typ"] = "cislo" },
["tex"] = "-\\frac{32}{77}",
["y"] = -32,
["z"] = 77 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "4 \\cdot -14 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-12 \\cdot -8}{4 \\cdot -14 \\cdot 4\\frac{1}{8}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.83, bodu=145, $$(7 - (-14 \cdot -8)) \cdot (2\frac{2}{9} - (\frac{11}{2\frac{5}{14}})^2)=\textcolor{white}{2053\frac{1}{3}}$$return {
["body"] = 145,
["id"] = "YI07Zc_0823_2012",
["obtiznost"] = 1.312,
["reseni"] = {
["float"] = 2053.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6160,
["jmenovatel"] = 3 },
["render"] = "\\frac{18480}{9}",
["typ"] = "cislo" },
["tex"] = "2053\\frac{1}{3}",
["x"] = 2053,
["y"] = 1,
["z"] = 3 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -8",
["typ"] = "krat" },
["render"] = "7 - (-14 \\cdot -8)",
["typ"] = "minus" },
["render"] = "(7 - (-14 \\cdot -8))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{2\\frac{5}{14}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{2\\frac{5}{14}})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{9} - (\\frac{11}{2\\frac{5}{14}})^2",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{9} - (\\frac{11}{2\\frac{5}{14}})^2)",
["typ"] = "zavorka" },
["render"] = "(7 - (-14 \\cdot -8)) \\cdot (2\\frac{2}{9} - (\\frac{11}{2\\frac{5}{14}})^2)",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.84, bodu=105, $$\frac{\frac{\frac{-11}{-7}}{\frac{2\frac{5}{13}}{12}}}{-11 + (-15)}=\textcolor{white}{-\frac{66}{217}}$$return {
["body"] = 105,
["id"] = "PgOpsW_0823_2012",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -0.30414746543779,
["objekt"] = {
["hodnota"] = {
["citatel"] = -66,
["jmenovatel"] = 217 },
["render"] = "\\frac{1716}{-5642}",
["typ"] = "cislo" },
["tex"] = "-\\frac{66}{217}",
["y"] = -66,
["z"] = 217 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-11}{-7}}{\\frac{2\\frac{5}{13}}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-11 + (-15)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{-11}{-7}}{\\frac{2\\frac{5}{13}}{12}}}{-11 + (-15)}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.85, bodu=135, $$4 - (15 + 7 \cdot 4\frac{4}{7} \cdot (-14 - 3\frac{4}{7}))=\textcolor{white}{551\frac{2}{7}}$$return {
["body"] = 135,
["id"] = "gVMFrE_0823_2012",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 551.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3859,
["jmenovatel"] = 7 },
["render"] = "\\frac{3859}{7}",
["typ"] = "cislo" },
["tex"] = "551\\frac{2}{7}",
["x"] = 551,
["y"] = 2,
["z"] = 7 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-14 - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-14 - 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (-14 - 3\\frac{4}{7})",
["typ"] = "krat" },
["render"] = "7 \\cdot 4\\frac{4}{7} \\cdot (-14 - 3\\frac{4}{7})",
["typ"] = "krat" },
["render"] = "15 + 7 \\cdot 4\\frac{4}{7} \\cdot (-14 - 3\\frac{4}{7})",
["typ"] = "plus" },
["render"] = "(15 + 7 \\cdot 4\\frac{4}{7} \\cdot (-14 - 3\\frac{4}{7}))",
["typ"] = "zavorka" },
["render"] = "4 - (15 + 7 \\cdot 4\\frac{4}{7} \\cdot (-14 - 3\\frac{4}{7}))",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.86, bodu=137, $$\frac{-18 \cdot 22}{-6} + 2\frac{4}{7} \cdot (1\frac{1}{5} - (-15))=\textcolor{white}{107\frac{23}{35}}$$return {
["body"] = 137,
["id"] = "eF7uc4_0823_2012",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 107.65714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3768,
["jmenovatel"] = 35 },
["render"] = "\\frac{3768}{35}",
["typ"] = "cislo" },
["tex"] = "107\\frac{23}{35}",
["x"] = 107,
["y"] = 23,
["z"] = 35 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-18 \\cdot 22}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - (-15)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{5} - (-15))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} \\cdot (1\\frac{1}{5} - (-15))",
["typ"] = "krat" },
["render"] = "\\frac{-18 \\cdot 22}{-6} + 2\\frac{4}{7} \\cdot (1\\frac{1}{5} - (-15))",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.87, bodu=204, $$\frac{(3\frac{5}{12} - 4\frac{5}{12}) \cdot (-21 + 4\frac{3}{10})}{\frac{13}{3\frac{4}{5}}}=\textcolor{white}{4\frac{573}{650}}$$return {
["body"] = 204,
["id"] = "sf210r_0823_2012",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 4.8815384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3173,
["jmenovatel"] = 650 },
["render"] = "\\frac{3173}{650}",
["typ"] = "cislo" },
["tex"] = "4\\frac{573}{650}",
["x"] = 4,
["y"] = 573,
["z"] = 650 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{12} - 4\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-21 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-21 + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{5}{12} - 4\\frac{5}{12}) \\cdot (-21 + 4\\frac{3}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3\\frac{5}{12} - 4\\frac{5}{12}) \\cdot (-21 + 4\\frac{3}{10})}{\\frac{13}{3\\frac{4}{5}}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.88, bodu=140, $$2\frac{5}{6} \cdot \frac{11 + 2\frac{2}{8}}{(-18 + (-13)) \cdot -19}=\textcolor{white}{\frac{901}{14136}}$$return {
["body"] = 140,
["id"] = "jHJzhM_0823_2012",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 0.063737973967176,
["objekt"] = {
["hodnota"] = {
["citatel"] = 901,
["jmenovatel"] = 14136 },
["render"] = "\\frac{901}{14136}",
["typ"] = "cislo" },
["tex"] = "\\frac{901}{14136}",
["y"] = 901,
["z"] = 14136 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-18 + (-13)",
["typ"] = "plus" },
["render"] = "(-18 + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(-18 + (-13)) \\cdot -19",
["typ"] = "krat" },
["render"] = "\\frac{11 + 2\\frac{2}{8}}{(-18 + (-13)) \\cdot -19}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{6} \\cdot \\frac{11 + 2\\frac{2}{8}}{(-18 + (-13)) \\cdot -19}",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.89, bodu=66, $$-9 \cdot (-13 - 16)^2 \cdot (-15 - (-18)) \cdot -13=\textcolor{white}{295191}$$return {
["body"] = 66,
["id"] = "Grt7qN_0823_2012",
["obtiznost"] = 1.2268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 295191,
["jmenovatel"] = 1 },
["render"] = "\\frac{295191}{1}",
["typ"] = "cislo" },
["tex"] = "295191",
["x"] = 295191 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-15 - (-18)",
["typ"] = "minus" },
["render"] = "(-15 - (-18))",
["typ"] = "zavorka" },
["render"] = "(-13 - 16)^2 \\cdot (-15 - (-18))",
["typ"] = "krat" },
["render"] = "-9 \\cdot (-13 - 16)^2 \\cdot (-15 - (-18))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (-13 - 16)^2 \\cdot (-15 - (-18)) \\cdot -13",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.9, bodu=165, $$\frac{3\frac{5}{13}}{2\frac{3}{4}} - 3 - \frac{(-12 + 5)^3}{8}=\textcolor{white}{41\frac{11}{104}}$$return {
["body"] = 165,
["id"] = "y27j1f_0823_2012",
["obtiznost"] = 1.4376,
["reseni"] = {
["float"] = 41.105769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4275,
["jmenovatel"] = 104 },
["render"] = "\\frac{4275}{104}",
["typ"] = "cislo" },
["tex"] = "41\\frac{11}{104}",
["x"] = 41,
["y"] = 11,
["z"] = 104 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{2\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{2\\frac{3}{4}} - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 + 5",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-12 + 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-12 + 5)^3}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{13}}{2\\frac{3}{4}} - 3 - \\frac{(-12 + 5)^3}{8}",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.91, bodu=176, $$(1\frac{5}{14} - (-9 - 4\frac{2}{9})) \cdot (5 + \frac{-13}{1\frac{4}{9}})=\textcolor{white}{-58\frac{20}{63}}$$return {
["body"] = 176,
["id"] = "LE1mK2_0823_2012",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -58.31746031746,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3674,
["jmenovatel"] = 63 },
["render"] = "\\frac{-7348}{126}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{20}{63}",
["x"] = -58,
["y"] = 20,
["z"] = 63 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-9 - 4\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(-9 - 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{14} - (-9 - 4\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{14} - (-9 - 4\\frac{2}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{-13}{1\\frac{4}{9}}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{-13}{1\\frac{4}{9}})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{14} - (-9 - 4\\frac{2}{9})) \\cdot (5 + \\frac{-13}{1\\frac{4}{9}})",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.92, bodu=116, $$\frac{\frac{-15}{-20} + (-17)}{13} \cdot (1\frac{3}{9} - (-15))=\textcolor{white}{-20\frac{5}{12}}$$return {
["body"] = 116,
["id"] = "p4NMvj_0823_2012",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -20.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 12 },
["render"] = "\\frac{-245}{12}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{5}{12}",
["x"] = -20,
["y"] = 5,
["z"] = 12 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-20} + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-15}{-20} + (-17)}{13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - (-15)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{9} - (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{-15}{-20} + (-17)}{13} \\cdot (1\\frac{3}{9} - (-15))",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.93, bodu=289, $$3\frac{3}{6} + \frac{3\frac{4}{5} \cdot -2}{1\frac{1}{8}} - 3\frac{4}{5} - (2\frac{1}{10} + 2\frac{1}{5})=\textcolor{white}{-11\frac{16}{45}}$$return {
["body"] = 289,
["id"] = "Tv3FfB_0823_2012",
["obtiznost"] = 2.13,
["reseni"] = {
["float"] = -11.355555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -511,
["jmenovatel"] = 45 },
["render"] = "\\frac{-2044}{180}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{16}{45}",
["x"] = -11,
["y"] = 16,
["z"] = 45 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} \\cdot -2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5} \\cdot -2}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{6} + \\frac{3\\frac{4}{5} \\cdot -2}{1\\frac{1}{8}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + \\frac{3\\frac{4}{5} \\cdot -2}{1\\frac{1}{8}} - 3\\frac{4}{5}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{10} + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{10} + 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{6} + \\frac{3\\frac{4}{5} \\cdot -2}{1\\frac{1}{8}} - 3\\frac{4}{5} - (2\\frac{1}{10} + 2\\frac{1}{5})",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.94, bodu=181, $$\frac{-12 \cdot \frac{3\frac{2}{7}}{-12}}{16 + 3\frac{1}{8} \cdot 2\frac{1}{5}}=\textcolor{white}{\frac{184}{1281}}$$return {
["body"] = 181,
["id"] = "ldoEYr_0823_2012",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 0.14363778298205,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184,
["jmenovatel"] = 1281 },
["render"] = "\\frac{184}{1281}",
["typ"] = "cislo" },
["tex"] = "\\frac{184}{1281}",
["y"] = 184,
["z"] = 1281 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{-12}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{3\\frac{2}{7}}{-12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} \\cdot 2\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "16 + 3\\frac{1}{8} \\cdot 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{-12 \\cdot \\frac{3\\frac{2}{7}}{-12}}{16 + 3\\frac{1}{8} \\cdot 2\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.95, bodu=183, $$\frac{3\frac{4}{13} - (-10)}{\frac{2\frac{4}{9}}{3\frac{4}{7}} \cdot (19 - (-13))}=\textcolor{white}{\frac{38925}{64064}}$$return {
["body"] = 183,
["id"] = "KlMYKp_0823_2012",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 0.60759552947053,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38925,
["jmenovatel"] = 64064 },
["render"] = "\\frac{38925}{64064}",
["typ"] = "cislo" },
["tex"] = "\\frac{38925}{64064}",
["y"] = 38925,
["z"] = 64064 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{3\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "19 - (-13)",
["typ"] = "minus" },
["render"] = "(19 - (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{4}{9}}{3\\frac{4}{7}} \\cdot (19 - (-13))",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{13} - (-10)}{\\frac{2\\frac{4}{9}}{3\\frac{4}{7}} \\cdot (19 - (-13))}",
["typ"] = "lomeno" } }
seed: Ay008ZqlD7Uox6a0rONL_0.96, bodu=185, $$1\frac{2}{13} \cdot 1\frac{1}{8} - (4\frac{4}{10} - (-17 + \frac{10}{18}))=\textcolor{white}{-19\frac{2557}{4680}}$$return {
["body"] = 185,
["id"] = "RhwW9i_0823_2012",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -19.546367521368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91477,
["jmenovatel"] = 4680 },
["render"] = "\\frac{-91477}{4680}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{2557}{4680}",
["x"] = -19,
["y"] = 2557,
["z"] = 4680 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 13 },
["render"] = "1\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{13} \\cdot 1\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{10}{18}",
["typ"] = "lomeno" },
["render"] = "-17 + \\frac{10}{18}",
["typ"] = "plus" },
["render"] = "(-17 + \\frac{10}{18})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{10} - (-17 + \\frac{10}{18})",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{10} - (-17 + \\frac{10}{18}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{13} \\cdot 1\\frac{1}{8} - (4\\frac{4}{10} - (-17 + \\frac{10}{18}))",
["typ"] = "minus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.97, bodu=154, $$(17 + (-18 + 3\frac{5}{12} - 16 + 4\frac{1}{4})) \cdot 14 \cdot -16=\textcolor{white}{2090\frac{2}{3}}$$return {
["body"] = 154,
["id"] = "Opfy9z_0823_2012",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 2090.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6272,
["jmenovatel"] = 3 },
["render"] = "\\frac{6272}{3}",
["typ"] = "cislo" },
["tex"] = "2090\\frac{2}{3}",
["x"] = 2090,
["y"] = 2,
["z"] = 3 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 16 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "-18 + 3\\frac{5}{12} - 16 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "17 + (-18 + 3\\frac{5}{12} - 16 + 4\\frac{1}{4})",
["typ"] = "plus" },
["render"] = "(17 + (-18 + 3\\frac{5}{12} - 16 + 4\\frac{1}{4}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "14 \\cdot -16",
["typ"] = "krat" },
["render"] = "(17 + (-18 + 3\\frac{5}{12} - 16 + 4\\frac{1}{4})) \\cdot 14 \\cdot -16",
["typ"] = "krat" } }
seed: Ay008ZqlD7Uox6a0rONL_0.98, bodu=260, $$\frac{2\frac{4}{7} \cdot 4\frac{3}{7}}{(1\frac{1}{7} - 2\frac{3}{8}) \cdot -7} + 4\frac{4}{6}=\textcolor{white}{5\frac{3337}{3381}}$$return {
["body"] = 260,
["id"] = "7yYC1h_0823_2012",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 5.9869860987873,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20242,
["jmenovatel"] = 3381 },
["render"] = "\\frac{20242}{3381}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3337}{3381}",
["x"] = 5,
["y"] = 3337,
["z"] = 3381 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{7} - 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{7} - 2\\frac{3}{8}) \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{7} \\cdot 4\\frac{3}{7}}{(1\\frac{1}{7} - 2\\frac{3}{8}) \\cdot -7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7} \\cdot 4\\frac{3}{7}}{(1\\frac{1}{7} - 2\\frac{3}{8}) \\cdot -7} + 4\\frac{4}{6}",
["typ"] = "plus" } }
seed: Ay008ZqlD7Uox6a0rONL_0.99, bodu=225, $$\frac{4\frac{1}{6} - 11 + (22 - (-18)) \cdot 4\frac{5}{10}}{4\frac{3}{11} - 4\frac{2}{11}}=\textcolor{white}{1904\frac{5}{6}}$$return {
["body"] = 225,
["id"] = "kD1mpV_0823_2012",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 1904.8333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11429,
["jmenovatel"] = 6 },
["render"] = "\\frac{11429}{6}",
["typ"] = "cislo" },
["tex"] = "1904\\frac{5}{6}",
["x"] = 1904,
["y"] = 5,
["z"] = 6 },
["seed"] = "Ay008ZqlD7Uox6a0rONL_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "22 - (-18)",
["typ"] = "minus" },
["render"] = "(22 - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(22 - (-18)) \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{6} - 11 + (22 - (-18)) \\cdot 4\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} - 4\\frac{2}{11}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{6} - 11 + (22 - (-18)) \\cdot 4\\frac{5}{10}}{4\\frac{3}{11} - 4\\frac{2}{11}}",
["typ"] = "lomeno" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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