- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 2qfCrufKCo0c5NpDoxbX_0, bodu=8, $$((8 - 4)^2 - (-5))^2 + 5=\textcolor{white}{446}$$return {
["body"] = 8,
["id"] = "yDMZn8_0928_2144",
["obtiznost"] = 0.1836,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 446,
["jmenovatel"] = 1 },
["render"] = "\\frac{446}{1}",
["typ"] = "cislo" },
["tex"] = "446",
["x"] = 446 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(8 - 4)^2 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((8 - 4)^2 - (-5))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "((8 - 4)^2 - (-5))^2 + 5",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.01, bodu=10, $$\frac{(6 - 3)^3 \cdot 4}{6}=\textcolor{white}{18}$$return {
["body"] = 10,
["id"] = "ioxACF_0928_2144",
["obtiznost"] = 0.0212,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{108}{6}",
["typ"] = "cislo" },
["tex"] = "18",
["x"] = 18 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.01",
["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 - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(6 - 3)^3 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 3)^3 \\cdot 4}{6}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.02, bodu=17, $$\frac{(3 \cdot 7)^2}{7}=\textcolor{white}{63}$$return {
["body"] = 17,
["id"] = "pVwB2i_0928_2144",
["obtiznost"] = 0.1968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{441}{7}",
["typ"] = "cislo" },
["tex"] = "63",
["x"] = 63 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.02",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(3 \\cdot 7)^2}{7}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.03, bodu=10, $$\frac{(\frac{10}{10})^2}{4 + 4}=\textcolor{white}{0{,}125}$$return {
["body"] = 10,
["id"] = "ithBtN_0928_2144",
["obtiznost"] = 0.0308,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{1}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 + 4",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{10}{10})^2}{4 + 4}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.04, bodu=10, $$\frac{9}{11 + \frac{8}{5}}=\textcolor{white}{\frac{5}{7}}$$return {
["body"] = 10,
["id"] = "X8EwnQ_0928_2144",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.71428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 7 },
["render"] = "\\frac{45}{63}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{7}",
["y"] = 5,
["z"] = 7 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{5}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{8}{5}",
["typ"] = "plus" },
["render"] = "\\frac{9}{11 + \\frac{8}{5}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.05, bodu=5, $$6 \cdot 4 - (-11 + 6)=\textcolor{white}{29}$$return {
["body"] = 5,
["id"] = "xaPulp_0928_2144",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 1 },
["render"] = "\\frac{29}{1}",
["typ"] = "cislo" },
["tex"] = "29",
["x"] = 29 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-11 + 6)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 4 - (-11 + 6)",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.06, bodu=5, $$6 \cdot -5 + 5 - 8=\textcolor{white}{-33}$$return {
["body"] = 5,
["id"] = "Oin366_0928_2144",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 1 },
["render"] = "\\frac{-33}{1}",
["typ"] = "cislo" },
["tex"] = "-33",
["tex_float"] = "-33",
["x"] = -33 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.06",
["zadani"] = {
["c1"] = {
["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"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5 + 5 - 8",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.07, bodu=5, $$5 \cdot (8 + 8) + 8=\textcolor{white}{88}$$return {
["body"] = 5,
["id"] = "bpLx4T_0928_2144",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 1 },
["render"] = "\\frac{88}{1}",
["typ"] = "cislo" },
["tex"] = "88",
["x"] = 88 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (8 + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot (8 + 8) + 8",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.08, bodu=12, $$7 + (-8) + \frac{9}{-10}=\textcolor{white}{-1{,}9}$$return {
["body"] = 12,
["id"] = "oQgENu_0928_2144",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -1.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 10 },
["render"] = "\\frac{-19}{10}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{9}{10}",
["tex_float"] = "-1{,}9",
["x"] = -1,
["y"] = 9,
["z"] = 10 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 + (-8)",
["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"] = "7 + (-8) + \\frac{9}{-10}",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.09, bodu=12, $$7 \cdot (\frac{-6}{8})^2=\textcolor{white}{3\frac{15}{16}}$$return {
["body"] = 12,
["id"] = "31xljx_0928_2144",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 3.9375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 16 },
["render"] = "\\frac{63}{16}",
["typ"] = "cislo" },
["tex"] = "3\\frac{15}{16}",
["x"] = 3,
["y"] = 15,
["z"] = 16 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{8})^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (\\frac{-6}{8})^2",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.1, bodu=6, $$3 \cdot 10 \cdot -6=\textcolor{white}{-180}$$return {
["body"] = 6,
["id"] = "4BziJh_0928_2144",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 1 },
["render"] = "\\frac{-180}{1}",
["typ"] = "cislo" },
["tex"] = "-180",
["x"] = -180 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6",
["typ"] = "krat" },
["render"] = "3 \\cdot 10 \\cdot -6",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.11, bodu=33, $$(\frac{8}{6 \cdot 6})^3=\textcolor{white}{\frac{8}{729}}$$return {
["body"] = 33,
["id"] = "65U3AH_0928_2144",
["obtiznost"] = 0.4048,
["reseni"] = {
["float"] = 0.010973936899863,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 729 },
["render"] = "\\frac{8}{729}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{729}",
["y"] = 8,
["z"] = 729 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{8}{6 \\cdot 6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{6 \\cdot 6})^3",
["typ"] = "mocnina" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.12, bodu=19, $$(\frac{4}{6} \cdot 6)^4=\textcolor{white}{256}$$return {
["body"] = 19,
["id"] = "rtjjws_0928_2144",
["obtiznost"] = 0.2228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4}{6} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{6} \\cdot 6)^4",
["typ"] = "mocnina" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.13, bodu=14, $$\frac{-3}{\frac{-4}{5}}=\textcolor{white}{3{,}75}$$return {
["body"] = 14,
["id"] = "MlIkgJ_0928_2144",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "\\frac{-15}{-4}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{4}",
["tex_float"] = "3{,}75",
["x"] = 3,
["y"] = 3,
["z"] = 4 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{-3}{\\frac{-4}{5}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.14, bodu=27, $$\frac{\frac{10}{4\frac{2}{3}}}{10}=\textcolor{white}{\frac{3}{14}}$$return {
["body"] = 27,
["id"] = "41ULZ9_0928_2144",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.21428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 14 },
["render"] = "\\frac{15}{70}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{14}",
["y"] = 3,
["z"] = 14 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{2}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{4\\frac{2}{3}}}{10}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.15, bodu=7, $$(7 \cdot 9 + 6) \cdot -6=\textcolor{white}{-414}$$return {
["body"] = 7,
["id"] = "T3aKXU_0928_2144",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -414,
["jmenovatel"] = 1 },
["render"] = "\\frac{-414}{1}",
["typ"] = "cislo" },
["tex"] = "-414",
["tex_float"] = "-414",
["x"] = -414 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9 + 6",
["typ"] = "plus" },
["render"] = "(7 \\cdot 9 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(7 \\cdot 9 + 6) \\cdot -6",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.16, bodu=15, $$\frac{8 \cdot 5}{8 - 10}=\textcolor{white}{-20}$$return {
["body"] = 15,
["id"] = "tZAByb_0928_2144",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{40}{-2}",
["typ"] = "cislo" },
["tex"] = "-20",
["x"] = -20 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot 5}{8 - 10}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.17, bodu=30, $$\frac{1\frac{4}{9} - (10 - 7)}{3}=\textcolor{white}{-\frac{14}{27}}$$return {
["body"] = 30,
["id"] = "WUDZdh_0928_2144",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -0.51851851851852,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 27 },
["render"] = "\\frac{-14}{27}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14}{27}",
["y"] = -14,
["z"] = 27 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["render"] = "(10 - 7)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{9} - (10 - 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9} - (10 - 7)}{3}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.18, bodu=19, $$-9 + (\frac{9}{-5})^2 + (-3)=\textcolor{white}{-8{,}76}$$return {
["body"] = 19,
["id"] = "PW09QK_0928_2144",
["obtiznost"] = 0.2224,
["reseni"] = {
["float"] = -8.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = -219,
["jmenovatel"] = 25 },
["render"] = "\\frac{-219}{25}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{19}{25}",
["tex_float"] = "-8{,}76",
["x"] = -8,
["y"] = 19,
["z"] = 25 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-5})^2 + (-3)",
["typ"] = "plus" },
["render"] = "-9 + (\\frac{9}{-5})^2 + (-3)",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.19, bodu=17, $$(\frac{9}{-9})^3 + (-6) + (-11)=\textcolor{white}{-18}$$return {
["body"] = 17,
["id"] = "cxcojh_0928_2144",
["obtiznost"] = 0.1908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "\\frac{-18}{1}",
["typ"] = "cislo" },
["tex"] = "-18",
["x"] = -18 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{-9})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-9})^3 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-9})^3 + (-6) + (-11)",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.2, bodu=9, $$(7 \cdot (-9 - (-8))^2)^2 \cdot 12=\textcolor{white}{588}$$return {
["body"] = 9,
["id"] = "DCz68G_0928_2144",
["obtiznost"] = 0.2208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 588,
["jmenovatel"] = 1 },
["render"] = "\\frac{588}{1}",
["typ"] = "cislo" },
["tex"] = "588",
["tex_float"] = "588",
["x"] = 588 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (-9 - (-8))^2",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot (-9 - (-8))^2)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(7 \\cdot (-9 - (-8))^2)^2 \\cdot 12",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.21, bodu=19, $$(7 - 13)^2 \cdot (6 + \frac{8}{9})=\textcolor{white}{248}$$return {
["body"] = 19,
["id"] = "lltl7K_0928_2144",
["obtiznost"] = 0.2248,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 248,
["jmenovatel"] = 1 },
["render"] = "\\frac{2232}{9}",
["typ"] = "cislo" },
["tex"] = "248",
["tex_float"] = "248",
["x"] = 248 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{8}{9}",
["typ"] = "plus" },
["render"] = "(6 + \\frac{8}{9})",
["typ"] = "zavorka" },
["render"] = "(7 - 13)^2 \\cdot (6 + \\frac{8}{9})",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.22, bodu=34, $$\frac{\frac{12}{-14}}{8} + 2\frac{4}{6}=\textcolor{white}{2\frac{47}{84}}$$return {
["body"] = 34,
["id"] = "uOtJt9_0928_2144",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 2.5595238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 215,
["jmenovatel"] = 84 },
["render"] = "\\frac{215}{84}",
["typ"] = "cislo" },
["tex"] = "2\\frac{47}{84}",
["x"] = 2,
["y"] = 47,
["z"] = 84 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{-14}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{-14}}{8} + 2\\frac{4}{6}",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.23, bodu=35, $$\frac{4}{8 \cdot 2\frac{4}{7} \cdot 9}=\textcolor{white}{\frac{7}{324}}$$return {
["body"] = 35,
["id"] = "F4DH9Z_0928_2144",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 0.021604938271605,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 324 },
["render"] = "\\frac{28}{1296}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{324}",
["y"] = 7,
["z"] = 324 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{4}{7} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{4}{8 \\cdot 2\\frac{4}{7} \\cdot 9}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.24, bodu=47, $$\frac{(\frac{3\frac{4}{8}}{-8})^2}{\frac{12}{-13}}=\textcolor{white}{-\frac{637}{3072}}$$return {
["body"] = 47,
["id"] = "gp17AD_0928_2144",
["obtiznost"] = 0.562,
["reseni"] = {
["float"] = -0.20735677083333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -637,
["jmenovatel"] = 3072 },
["render"] = "\\frac{637}{-3072}",
["typ"] = "cislo" },
["tex"] = "-\\frac{637}{3072}",
["y"] = -637,
["z"] = 3072 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{4}{8}}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{3\\frac{4}{8}}{-8})^2}{\\frac{12}{-13}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.25, bodu=37, $$\frac{14 - 4\frac{3}{7}}{-4 - 6}=\textcolor{white}{-\frac{67}{70}}$$return {
["body"] = 37,
["id"] = "5dIjUG_0928_2144",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -0.95714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67,
["jmenovatel"] = 70 },
["render"] = "\\frac{67}{-70}",
["typ"] = "cislo" },
["tex"] = "-\\frac{67}{70}",
["y"] = -67,
["z"] = 70 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "14 - 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-4 - 6",
["typ"] = "minus" },
["render"] = "\\frac{14 - 4\\frac{3}{7}}{-4 - 6}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.26, bodu=30, $$\frac{(10 - (-7))^2}{\frac{7}{11}}=\textcolor{white}{454\frac{1}{7}}$$return {
["body"] = 30,
["id"] = "bBLO0V_0928_2144",
["obtiznost"] = 0.376,
["reseni"] = {
["float"] = 454.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3179,
["jmenovatel"] = 7 },
["render"] = "\\frac{3179}{7}",
["typ"] = "cislo" },
["tex"] = "454\\frac{1}{7}",
["x"] = 454,
["y"] = 1,
["z"] = 7 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{(10 - (-7))^2}{\\frac{7}{11}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.27, bodu=12, $$(14 - (-7 + 5)) \cdot (-15 + 7)^2=\textcolor{white}{1024}$$return {
["body"] = 12,
["id"] = "eKvwO2_0928_2144",
["obtiznost"] = 0.296,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1024,
["jmenovatel"] = 1 },
["render"] = "\\frac{1024}{1}",
["typ"] = "cislo" },
["tex"] = "1024",
["tex_float"] = "1024",
["x"] = 1024 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 + 5",
["typ"] = "plus" },
["render"] = "(-7 + 5)",
["typ"] = "zavorka" },
["render"] = "14 - (-7 + 5)",
["typ"] = "minus" },
["render"] = "(14 - (-7 + 5))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-15 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-15 + 7)^2",
["typ"] = "mocnina" },
["render"] = "(14 - (-7 + 5)) \\cdot (-15 + 7)^2",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.28, bodu=24, $$\frac{-10 + (7 - 10)^3 - 12}{11}=\textcolor{white}{-4\frac{5}{11}}$$return {
["body"] = 24,
["id"] = "l1zjMd_0928_2144",
["obtiznost"] = 0.2912,
["reseni"] = {
["float"] = -4.4545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 11 },
["render"] = "\\frac{-49}{11}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{5}{11}",
["x"] = -4,
["y"] = 5,
["z"] = 11 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 10)^3",
["typ"] = "mocnina" },
["render"] = "-10 + (7 - 10)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 + (7 - 10)^3 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + (7 - 10)^3 - 12}{11}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.29, bodu=105, $$(\frac{(\frac{10}{10})^2}{1\frac{1}{4}})^4 \cdot 3\frac{3}{7}=\textcolor{white}{1\frac{1769}{4375}}$$return {
["body"] = 105,
["id"] = "hwuN1Q_0928_2144",
["obtiznost"] = 1.0432,
["reseni"] = {
["float"] = 1.4043428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6144,
["jmenovatel"] = 4375 },
["render"] = "\\frac{6144}{4375}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1769}{4375}",
["x"] = 1,
["y"] = 1769,
["z"] = 4375 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.29",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{10}{10})^2}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(\\frac{10}{10})^2}{1\\frac{1}{4}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{10}{10})^2}{1\\frac{1}{4}})^4 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.3, bodu=25, $$\frac{(\frac{-6}{10})^2}{\frac{8}{10}}=\textcolor{white}{0{,}45}$$return {
["body"] = 25,
["id"] = "RCgtea_0928_2144",
["obtiznost"] = 0.3136,
["reseni"] = {
["float"] = 0.45,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 20 },
["render"] = "\\frac{45}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{20}",
["tex_float"] = "0{,}45",
["y"] = 9,
["z"] = 20 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.3",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["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" },
["render"] = "\\frac{(\\frac{-6}{10})^2}{\\frac{8}{10}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.31, bodu=42, $$\frac{9 \cdot (15 + 4)}{4\frac{4}{7}}=\textcolor{white}{37\frac{13}{32}}$$return {
["body"] = 42,
["id"] = "1tQMgh_0928_2144",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 37.40625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1197,
["jmenovatel"] = 32 },
["render"] = "\\frac{1197}{32}",
["typ"] = "cislo" },
["tex"] = "37\\frac{13}{32}",
["x"] = 37,
["y"] = 13,
["z"] = 32 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "15 + 4",
["typ"] = "plus" },
["render"] = "(15 + 4)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (15 + 4)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot (15 + 4)}{4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.32, bodu=43, $$8 \cdot (-8 - (-5)) \cdot 2\frac{5}{7}=\textcolor{white}{-65\frac{1}{7}}$$return {
["body"] = 43,
["id"] = "qCjIzn_0928_2144",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -65.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -456,
["jmenovatel"] = 7 },
["render"] = "\\frac{-456}{7}",
["typ"] = "cislo" },
["tex"] = "-65\\frac{1}{7}",
["x"] = -65,
["y"] = 1,
["z"] = 7 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 - (-5)",
["typ"] = "minus" },
["render"] = "(-8 - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(-8 - (-5)) \\cdot 2\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "8 \\cdot (-8 - (-5)) \\cdot 2\\frac{5}{7}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.33, bodu=32, $$(-8 + (\frac{11}{7})^2) \cdot 12=\textcolor{white}{-66\frac{18}{49}}$$return {
["body"] = 32,
["id"] = "3JBj0u_0928_2144",
["obtiznost"] = 0.398,
["reseni"] = {
["float"] = -66.367346938776,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3252,
["jmenovatel"] = 49 },
["render"] = "\\frac{-3252}{49}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{18}{49}",
["x"] = -66,
["y"] = 18,
["z"] = 49 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{7})^2",
["typ"] = "mocnina" },
["render"] = "-8 + (\\frac{11}{7})^2",
["typ"] = "plus" },
["render"] = "(-8 + (\\frac{11}{7})^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-8 + (\\frac{11}{7})^2) \\cdot 12",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.34, bodu=45, $$4 + 9 - 3 + \frac{13}{1\frac{1}{7}}=\textcolor{white}{21{,}375}$$return {
["body"] = 45,
["id"] = "2TcE2o_0928_2144",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 21.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 171,
["jmenovatel"] = 8 },
["render"] = "\\frac{171}{8}",
["typ"] = "cislo" },
["tex"] = "21\\frac{3}{8}",
["tex_float"] = "21{,}375",
["x"] = 21,
["y"] = 3,
["z"] = 8 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4 + 9 - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "4 + 9 - 3 + \\frac{13}{1\\frac{1}{7}}",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.35, bodu=28, $$\frac{-7 - 9}{-5 + \frac{5}{-11}}=\textcolor{white}{2\frac{14}{15}}$$return {
["body"] = 28,
["id"] = "DnAyYP_0928_2144",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 2.9333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 15 },
["render"] = "\\frac{-176}{-60}",
["typ"] = "cislo" },
["tex"] = "2\\frac{14}{15}",
["x"] = 2,
["y"] = 14,
["z"] = 15 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-11}",
["typ"] = "lomeno" },
["render"] = "-5 + \\frac{5}{-11}",
["typ"] = "plus" },
["render"] = "\\frac{-7 - 9}{-5 + \\frac{5}{-11}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.36, bodu=48, $$4\frac{5}{12} - (6 - 8)^4 + 10 + 9=\textcolor{white}{7\frac{5}{12}}$$return {
["body"] = 48,
["id"] = "re7PRt_0928_2144",
["obtiznost"] = 0.5668,
["reseni"] = {
["float"] = 7.4166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 12 },
["render"] = "\\frac{89}{12}",
["typ"] = "cislo" },
["tex"] = "7\\frac{5}{12}",
["x"] = 7,
["y"] = 5,
["z"] = 12 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 8)^4",
["typ"] = "mocnina" },
["render"] = "4\\frac{5}{12} - (6 - 8)^4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "4\\frac{5}{12} - (6 - 8)^4 + 10 + 9",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.37, bodu=48, $$\frac{\frac{5}{2\frac{3}{6} - (-13)}}{-10}=\textcolor{white}{-\frac{1}{31}}$$return {
["body"] = 48,
["id"] = "NkjRgp_0928_2144",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -0.032258064516129,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 31 },
["render"] = "\\frac{10}{-310}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{31}",
["y"] = -1,
["z"] = 31 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{5}{2\\frac{3}{6} - (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{2\\frac{3}{6} - (-13)}}{-10}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.38, bodu=31, $$\frac{9}{-16 \cdot 11 \cdot -7}=\textcolor{white}{\frac{9}{1232}}$$return {
["body"] = 31,
["id"] = "mDroIr_0928_2144",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.0073051948051948,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1232 },
["render"] = "\\frac{9}{1232}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{1232}",
["y"] = 9,
["z"] = 1232 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 11 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{9}{-16 \\cdot 11 \\cdot -7}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.39, bodu=31, $$\frac{(14 - 7) \cdot 5}{9}=\textcolor{white}{3\frac{8}{9}}$$return {
["body"] = 31,
["id"] = "opI1Yi_0928_2144",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 3.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 9 },
["render"] = "\\frac{35}{9}",
["typ"] = "cislo" },
["tex"] = "3\\frac{8}{9}",
["x"] = 3,
["y"] = 8,
["z"] = 9 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 - 7",
["typ"] = "minus" },
["render"] = "(14 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(14 - 7) \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(14 - 7) \\cdot 5}{9}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.4, bodu=74, $$2\frac{2}{6} + 3 \cdot (3\frac{2}{7} + (-9 \cdot -9))=\textcolor{white}{255\frac{4}{21}}$$return {
["body"] = 74,
["id"] = "u5kbHX_0928_2144",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 255.19047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5359,
["jmenovatel"] = 21 },
["render"] = "\\frac{5359}{21}",
["typ"] = "cislo" },
["tex"] = "255\\frac{4}{21}",
["x"] = 255,
["y"] = 4,
["z"] = 21 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -9",
["typ"] = "krat" },
["render"] = "3\\frac{2}{7} + (-9 \\cdot -9)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} + (-9 \\cdot -9))",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (3\\frac{2}{7} + (-9 \\cdot -9))",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} + 3 \\cdot (3\\frac{2}{7} + (-9 \\cdot -9))",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.41, bodu=75, $$4\frac{2}{5} + 12 - \frac{-16}{\frac{9}{3\frac{4}{8}}}=\textcolor{white}{22\frac{28}{45}}$$return {
["body"] = 75,
["id"] = "Vg1Gc2_0928_2144",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 22.622222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1018,
["jmenovatel"] = 45 },
["render"] = "\\frac{1018}{45}",
["typ"] = "cislo" },
["tex"] = "22\\frac{28}{45}",
["x"] = 22,
["y"] = 28,
["z"] = 45 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16}{\\frac{9}{3\\frac{4}{8}}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{5} + 12 - \\frac{-16}{\\frac{9}{3\\frac{4}{8}}}",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.42, bodu=76, $$13 - \frac{2\frac{4}{8}}{10} + 3\frac{3}{7} - 15=\textcolor{white}{1\frac{5}{28}}$$return {
["body"] = 76,
["id"] = "WSYJmU_0928_2144",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 1.1785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 28 },
["render"] = "\\frac{33}{28}",
["typ"] = "cislo" },
["tex"] = "1\\frac{5}{28}",
["x"] = 1,
["y"] = 5,
["z"] = 28 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{10}",
["typ"] = "lomeno" },
["render"] = "13 - \\frac{2\\frac{4}{8}}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "13 - \\frac{2\\frac{4}{8}}{10} + 3\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 - \\frac{2\\frac{4}{8}}{10} + 3\\frac{3}{7} - 15",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.43, bodu=83, $$(-10 + 7 + 14 + (-4 \cdot 1\frac{1}{5})^2) \cdot 10=\textcolor{white}{340{,}4}$$return {
["body"] = 83,
["id"] = "LpdCT4_0928_2144",
["obtiznost"] = 0.8704,
["reseni"] = {
["float"] = 340.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1702,
["jmenovatel"] = 5 },
["render"] = "\\frac{8510}{25}",
["typ"] = "cislo" },
["tex"] = "340\\frac{2}{5}",
["tex_float"] = "340{,}4",
["x"] = 340,
["y"] = 2,
["z"] = 5 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 + 14",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-4 \\cdot 1\\frac{1}{5})^2",
["typ"] = "mocnina" },
["render"] = "7 + 14 + (-4 \\cdot 1\\frac{1}{5})^2",
["typ"] = "plus" },
["render"] = "-10 + 7 + 14 + (-4 \\cdot 1\\frac{1}{5})^2",
["typ"] = "plus" },
["render"] = "(-10 + 7 + 14 + (-4 \\cdot 1\\frac{1}{5})^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-10 + 7 + 14 + (-4 \\cdot 1\\frac{1}{5})^2) \\cdot 10",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.44, bodu=105, $$10 \cdot (\frac{1\frac{5}{9}}{-5} - 2\frac{3}{9} \cdot 3\frac{4}{9})=\textcolor{white}{-83\frac{13}{27}}$$return {
["body"] = 105,
["id"] = "4IoJ8i_0928_2144",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -83.481481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2254,
["jmenovatel"] = 27 },
["render"] = "\\frac{-11270}{135}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{13}{27}",
["x"] = -83,
["y"] = 13,
["z"] = 27 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{9}}{-5} - 2\\frac{3}{9} \\cdot 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{5}{9}}{-5} - 2\\frac{3}{9} \\cdot 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (\\frac{1\\frac{5}{9}}{-5} - 2\\frac{3}{9} \\cdot 3\\frac{4}{9})",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.45, bodu=71, $$\frac{\frac{11}{(\frac{-12}{13})^2}}{2\frac{4}{10} + (-10)}=\textcolor{white}{-1\frac{3823}{5472}}$$return {
["body"] = 71,
["id"] = "uYBUSX_0928_2144",
["obtiznost"] = 0.7752,
["reseni"] = {
["float"] = -1.6986476608187,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9295,
["jmenovatel"] = 5472 },
["render"] = "\\frac{9295}{-5472}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3823}{5472}",
["x"] = -1,
["y"] = 3823,
["z"] = 5472 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{13})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(\\frac{-12}{13})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{11}{(\\frac{-12}{13})^2}}{2\\frac{4}{10} + (-10)}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.46, bodu=168, $$6 + 2\frac{5}{9} - 4\frac{4}{7} - (2\frac{5}{9} + 4\frac{4}{10} - 2\frac{5}{12})=\textcolor{white}{-\frac{233}{420}}$$return {
["body"] = 168,
["id"] = "I9D7a7_0928_2144",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -0.5547619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -233,
["jmenovatel"] = 420 },
["render"] = "\\frac{-6291}{11340}",
["typ"] = "cislo" },
["tex"] = "-\\frac{233}{420}",
["y"] = -233,
["z"] = 420 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "6 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "6 + 2\\frac{5}{9} - 4\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 4\\frac{4}{10} - 2\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} + 4\\frac{4}{10} - 2\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "6 + 2\\frac{5}{9} - 4\\frac{4}{7} - (2\\frac{5}{9} + 4\\frac{4}{10} - 2\\frac{5}{12})",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.47, bodu=42, $$(15 + 16) \cdot \frac{14}{(13 - 10)^4}=\textcolor{white}{5\frac{29}{81}}$$return {
["body"] = 42,
["id"] = "rDDgKX_0928_2144",
["obtiznost"] = 0.5028,
["reseni"] = {
["float"] = 5.358024691358,
["objekt"] = {
["hodnota"] = {
["citatel"] = 434,
["jmenovatel"] = 81 },
["render"] = "\\frac{434}{81}",
["typ"] = "cislo" },
["tex"] = "5\\frac{29}{81}",
["x"] = 5,
["y"] = 29,
["z"] = 81 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "15 + 16",
["typ"] = "plus" },
["render"] = "(15 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(13 - 10)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{14}{(13 - 10)^4}",
["typ"] = "lomeno" },
["render"] = "(15 + 16) \\cdot \\frac{14}{(13 - 10)^4}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.48, bodu=84, $$\frac{\frac{-6}{3\frac{2}{7}}}{5 + 1\frac{5}{9} - (-7)}=\textcolor{white}{-\frac{189}{1403}}$$return {
["body"] = 84,
["id"] = "hKgMyp_0928_2144",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -0.13471133285816,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 1403 },
["render"] = "\\frac{-378}{2806}",
["typ"] = "cislo" },
["tex"] = "-\\frac{189}{1403}",
["y"] = -189,
["z"] = 1403 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-7)",
["typ"] = "minus" },
["render"] = "5 + 1\\frac{5}{9} - (-7)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-6}{3\\frac{2}{7}}}{5 + 1\\frac{5}{9} - (-7)}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.49, bodu=112, $$(1\frac{5}{12} + 2\frac{2}{7} + 13) \cdot \frac{7 + 1\frac{1}{3}}{-12}=\textcolor{white}{-11\frac{1811}{3024}}$$return {
["body"] = 112,
["id"] = "fBOrqQ_0928_2144",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -11.598875661376,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35075,
["jmenovatel"] = 3024 },
["render"] = "\\frac{-35075}{3024}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1811}{3024}",
["x"] = -11,
["y"] = 1811,
["z"] = 3024 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + 13",
["typ"] = "plus" },
["render"] = "1\\frac{5}{12} + 2\\frac{2}{7} + 13",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + 2\\frac{2}{7} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 1\\frac{1}{3}}{-12}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{5}{12} + 2\\frac{2}{7} + 13) \\cdot \\frac{7 + 1\\frac{1}{3}}{-12}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.5, bodu=86, $$(4\frac{3}{6} + (-10) - (8 - 1\frac{5}{12})) \cdot -10=\textcolor{white}{120\frac{5}{6}}$$return {
["body"] = 86,
["id"] = "joNQFy_0928_2144",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 120.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 725,
["jmenovatel"] = 6 },
["render"] = "\\frac{1450}{12}",
["typ"] = "cislo" },
["tex"] = "120\\frac{5}{6}",
["x"] = 120,
["y"] = 5,
["z"] = 6 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.5",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + (-10)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "8 - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(8 - 1\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} + (-10) - (8 - 1\\frac{5}{12})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{6} + (-10) - (8 - 1\\frac{5}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{6} + (-10) - (8 - 1\\frac{5}{12})) \\cdot -10",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.51, bodu=63, $$6 \cdot (11 + 2\frac{2}{8} \cdot -14 - 7)=\textcolor{white}{-165}$$return {
["body"] = 63,
["id"] = "ettwOj_0928_2144",
["obtiznost"] = 0.71,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 1 },
["render"] = "\\frac{-330}{2}",
["typ"] = "cislo" },
["tex"] = "-165",
["x"] = -165 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot -14",
["typ"] = "krat" },
["render"] = "11 + 2\\frac{2}{8} \\cdot -14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{2}{8} \\cdot -14 - 7",
["typ"] = "minus" },
["render"] = "(11 + 2\\frac{2}{8} \\cdot -14 - 7)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (11 + 2\\frac{2}{8} \\cdot -14 - 7)",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.52, bodu=89, $$(9 - 4\frac{4}{8} + 5) \cdot (3\frac{1}{5} \cdot 11 + 8)=\textcolor{white}{410{,}4}$$return {
["body"] = 89,
["id"] = "ruiqxn_0928_2144",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 410.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2052,
["jmenovatel"] = 5 },
["render"] = "\\frac{4104}{10}",
["typ"] = "cislo" },
["tex"] = "410\\frac{2}{5}",
["tex_float"] = "410{,}4",
["x"] = 410,
["y"] = 2,
["z"] = 5 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.52",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{4}{8} + 5",
["typ"] = "plus" },
["render"] = "(9 - 4\\frac{4}{8} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 11 + 8",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{5} \\cdot 11 + 8)",
["typ"] = "zavorka" },
["render"] = "(9 - 4\\frac{4}{8} + 5) \\cdot (3\\frac{1}{5} \\cdot 11 + 8)",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.53, bodu=90, $$4 + \frac{6}{2} - 2\frac{1}{6} \cdot 2\frac{4}{7}=\textcolor{white}{1\frac{3}{7}}$$return {
["body"] = 90,
["id"] = "Rc2wdW_0928_2144",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "\\frac{10}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{7}",
["x"] = 1,
["y"] = 3,
["z"] = 7 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2}",
["typ"] = "lomeno" },
["render"] = "4 + \\frac{6}{2}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "4 + \\frac{6}{2} - 2\\frac{1}{6} \\cdot 2\\frac{4}{7}",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.54, bodu=67, $$17 \cdot (13 - \frac{4\frac{5}{12}}{13}) \cdot -15=\textcolor{white}{-3228\frac{19}{52}}$$return {
["body"] = 67,
["id"] = "p9DAMq_0928_2144",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -3228.3653846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -167875,
["jmenovatel"] = 52 },
["render"] = "\\frac{-503625}{156}",
["typ"] = "cislo" },
["tex"] = "-3228\\frac{19}{52}",
["x"] = -3228,
["y"] = 19,
["z"] = 52 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{13}",
["typ"] = "lomeno" },
["render"] = "13 - \\frac{4\\frac{5}{12}}{13}",
["typ"] = "minus" },
["render"] = "(13 - \\frac{4\\frac{5}{12}}{13})",
["typ"] = "zavorka" },
["render"] = "17 \\cdot (13 - \\frac{4\\frac{5}{12}}{13})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "17 \\cdot (13 - \\frac{4\\frac{5}{12}}{13}) \\cdot -15",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.55, bodu=93, $$(-10 + 4\frac{2}{6}) \cdot 12 - 3\frac{4}{10} \cdot -13=\textcolor{white}{-23{,}8}$$return {
["body"] = 93,
["id"] = "mB36FQ_0928_2144",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -23.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -119,
["jmenovatel"] = 5 },
["render"] = "\\frac{-119}{5}",
["typ"] = "cislo" },
["tex"] = "-23\\frac{4}{5}",
["tex_float"] = "-23{,}8",
["x"] = -23,
["y"] = 4,
["z"] = 5 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-10 + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(-10 + 4\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-10 + 4\\frac{2}{6}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} \\cdot -13",
["typ"] = "krat" },
["render"] = "(-10 + 4\\frac{2}{6}) \\cdot 12 - 3\\frac{4}{10} \\cdot -13",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.56, bodu=69, $$\frac{-11 \cdot -13 \cdot (1\frac{1}{7} + 14)}{-7}=\textcolor{white}{-309\frac{17}{49}}$$return {
["body"] = 69,
["id"] = "tQ64uO_0928_2144",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -309.34693877551,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15158,
["jmenovatel"] = 49 },
["render"] = "\\frac{15158}{-49}",
["typ"] = "cislo" },
["tex"] = "-309\\frac{17}{49}",
["x"] = -309,
["y"] = 17,
["z"] = 49 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 14",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{7} + 14)",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot -13 \\cdot (1\\frac{1}{7} + 14)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot -13 \\cdot (1\\frac{1}{7} + 14)}{-7}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.57, bodu=24, $$-6 - (-9 + (-10)) \cdot (-7 - (-12))^2=\textcolor{white}{469}$$return {
["body"] = 24,
["id"] = "zqz7dX_0928_2144",
["obtiznost"] = 0.5804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 469,
["jmenovatel"] = 1 },
["render"] = "\\frac{469}{1}",
["typ"] = "cislo" },
["tex"] = "469",
["tex_float"] = "469",
["x"] = 469 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 + (-10)",
["typ"] = "plus" },
["render"] = "(-9 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-7 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - (-12))^2",
["typ"] = "mocnina" },
["render"] = "(-9 + (-10)) \\cdot (-7 - (-12))^2",
["typ"] = "krat" },
["render"] = "-6 - (-9 + (-10)) \\cdot (-7 - (-12))^2",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.58, bodu=49, $$\frac{(-7 + 7)^3}{6 - (14 - (-14))}=\textcolor{white}{0}$$return {
["body"] = 49,
["id"] = "6QSk21_0928_2144",
["obtiznost"] = 0.5804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{-22}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.58",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "14 - (-14)",
["typ"] = "minus" },
["render"] = "(14 - (-14))",
["typ"] = "zavorka" },
["render"] = "6 - (14 - (-14))",
["typ"] = "minus" },
["render"] = "\\frac{(-7 + 7)^3}{6 - (14 - (-14))}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.59, bodu=98, $$1\frac{3}{4} - (11 - (2\frac{1}{6} + 10 \cdot 4))=\textcolor{white}{32\frac{11}{12}}$$return {
["body"] = 98,
["id"] = "Wd7SJm_0928_2144",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 32.916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 395,
["jmenovatel"] = 12 },
["render"] = "\\frac{790}{24}",
["typ"] = "cislo" },
["tex"] = "32\\frac{11}{12}",
["x"] = 32,
["y"] = 11,
["z"] = 12 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4",
["typ"] = "krat" },
["render"] = "2\\frac{1}{6} + 10 \\cdot 4",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 10 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "11 - (2\\frac{1}{6} + 10 \\cdot 4)",
["typ"] = "minus" },
["render"] = "(11 - (2\\frac{1}{6} + 10 \\cdot 4))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{4} - (11 - (2\\frac{1}{6} + 10 \\cdot 4))",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.6, bodu=74, $$\frac{17 \cdot 16 \cdot (8 + 4\frac{4}{8})}{14}=\textcolor{white}{242\frac{6}{7}}$$return {
["body"] = 74,
["id"] = "zNVxbR_0928_2144",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 242.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1700,
["jmenovatel"] = 7 },
["render"] = "\\frac{3400}{14}",
["typ"] = "cislo" },
["tex"] = "242\\frac{6}{7}",
["x"] = 242,
["y"] = 6,
["z"] = 7 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "17 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(8 + 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "17 \\cdot 16 \\cdot (8 + 4\\frac{4}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{17 \\cdot 16 \\cdot (8 + 4\\frac{4}{8})}{14}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.61, bodu=78, $$\frac{11}{(-11 + \frac{3\frac{1}{3}}{\frac{10}{12}})^2}=\textcolor{white}{\frac{11}{49}}$$return {
["body"] = 78,
["id"] = "jjPQBt_0928_2144",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 0.22448979591837,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 49 },
["render"] = "\\frac{11}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{49}",
["y"] = 11,
["z"] = 49 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{3}}{\\frac{10}{12}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{3\\frac{1}{3}}{\\frac{10}{12}}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + \\frac{3\\frac{1}{3}}{\\frac{10}{12}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(-11 + \\frac{3\\frac{1}{3}}{\\frac{10}{12}})^2}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.62, bodu=162, $$4\frac{1}{5} + 11 \cdot (1\frac{2}{8} + \frac{2\frac{5}{9} + 4\frac{2}{5}}{-5})=\textcolor{white}{2\frac{583}{900}}$$return {
["body"] = 162,
["id"] = "I43gsN_0928_2144",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 2.6477777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2383,
["jmenovatel"] = 900 },
["render"] = "\\frac{11915}{4500}",
["typ"] = "cislo" },
["tex"] = "2\\frac{583}{900}",
["x"] = 2,
["y"] = 583,
["z"] = 900 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 4\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9} + 4\\frac{2}{5}}{-5}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{8} + \\frac{2\\frac{5}{9} + 4\\frac{2}{5}}{-5}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{8} + \\frac{2\\frac{5}{9} + 4\\frac{2}{5}}{-5})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (1\\frac{2}{8} + \\frac{2\\frac{5}{9} + 4\\frac{2}{5}}{-5})",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} + 11 \\cdot (1\\frac{2}{8} + \\frac{2\\frac{5}{9} + 4\\frac{2}{5}}{-5})",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.63, bodu=78, $$\frac{11 - (-10 \cdot -15) + \frac{16}{10}}{3\frac{4}{9}}=\textcolor{white}{-39\frac{138}{155}}$$return {
["body"] = 78,
["id"] = "HyD73l_0928_2144",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -39.890322580645,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6183,
["jmenovatel"] = 155 },
["render"] = "\\frac{-6183}{155}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{138}{155}",
["x"] = -39,
["y"] = 138,
["z"] = 155 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -15",
["typ"] = "krat" },
["render"] = "11 - (-10 \\cdot -15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{16}{10}",
["typ"] = "lomeno" },
["render"] = "11 - (-10 \\cdot -15) + \\frac{16}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11 - (-10 \\cdot -15) + \\frac{16}{10}}{3\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.64, bodu=56, $$\frac{-8}{10 \cdot (-13 + 12)^2 - \frac{12}{-18}}=\textcolor{white}{-0{,}75}$$return {
["body"] = 56,
["id"] = "RKeOxz_0928_2144",
["obtiznost"] = 0.6408,
["reseni"] = {
["float"] = -0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 4 },
["render"] = "\\frac{-24}{32}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{4}",
["tex_float"] = "-0{,}75",
["y"] = -3,
["z"] = 4 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + 12)^2",
["typ"] = "mocnina" },
["render"] = "10 \\cdot (-13 + 12)^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-18}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot (-13 + 12)^2 - \\frac{12}{-18}",
["typ"] = "minus" },
["render"] = "\\frac{-8}{10 \\cdot (-13 + 12)^2 - \\frac{12}{-18}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.65, bodu=135, $$(\frac{-12}{\frac{1\frac{5}{11}}{1\frac{1}{7}} + (-14)} - 2\frac{3}{6}) \cdot 12=\textcolor{white}{-18\frac{24}{35}}$$return {
["body"] = 135,
["id"] = "0dFlHv_0928_2144",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -18.685714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -654,
["jmenovatel"] = 35 },
["render"] = "\\frac{-1308}{70}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{24}{35}",
["x"] = -18,
["y"] = 24,
["z"] = 35 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{1\\frac{1}{7}} + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{-12}{\\frac{1\\frac{5}{11}}{1\\frac{1}{7}} + (-14)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{\\frac{1\\frac{5}{11}}{1\\frac{1}{7}} + (-14)} - 2\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{\\frac{1\\frac{5}{11}}{1\\frac{1}{7}} + (-14)} - 2\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{\\frac{1\\frac{5}{11}}{1\\frac{1}{7}} + (-14)} - 2\\frac{3}{6}) \\cdot 12",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.66, bodu=137, $$8 \cdot \frac{2\frac{1}{6}}{-14} \cdot (12 + 3\frac{1}{6} - 2\frac{2}{10})=\textcolor{white}{-16\frac{17}{315}}$$return {
["body"] = 137,
["id"] = "X4Wzgp_0928_2144",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -16.053968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5057,
["jmenovatel"] = 315 },
["render"] = "\\frac{-40456}{2520}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{17}{315}",
["x"] = -16,
["y"] = 17,
["z"] = 315 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{1}{6} - 2\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(12 + 3\\frac{1}{6} - 2\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{6}}{-14} \\cdot (12 + 3\\frac{1}{6} - 2\\frac{2}{10})",
["typ"] = "krat" },
["render"] = "8 \\cdot \\frac{2\\frac{1}{6}}{-14} \\cdot (12 + 3\\frac{1}{6} - 2\\frac{2}{10})",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.67, bodu=138, $$\frac{-8 \cdot 1\frac{5}{13} \cdot 3\frac{1}{4} \cdot -12}{3\frac{1}{7}}=\textcolor{white}{137\frac{5}{11}}$$return {
["body"] = 138,
["id"] = "LeiIPh_0928_2144",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 137.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1512,
["jmenovatel"] = 11 },
["render"] = "\\frac{3024}{22}",
["typ"] = "cislo" },
["tex"] = "137\\frac{5}{11}",
["x"] = 137,
["y"] = 5,
["z"] = 11 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot -12",
["typ"] = "krat" },
["render"] = "1\\frac{5}{13} \\cdot 3\\frac{1}{4} \\cdot -12",
["typ"] = "krat" },
["render"] = "-8 \\cdot 1\\frac{5}{13} \\cdot 3\\frac{1}{4} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 1\\frac{5}{13} \\cdot 3\\frac{1}{4} \\cdot -12}{3\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.68, bodu=172, $$\frac{1\frac{1}{4} \cdot -13 - (-14)}{(2\frac{3}{4} - 1\frac{3}{4})^3 + 2\frac{4}{13}}=\textcolor{white}{-\frac{117}{172}}$$return {
["body"] = 172,
["id"] = "sew8l0_0928_2144",
["obtiznost"] = 1.4808,
["reseni"] = {
["float"] = -0.68023255813953,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 172 },
["render"] = "\\frac{-117}{172}",
["typ"] = "cislo" },
["tex"] = "-\\frac{117}{172}",
["y"] = -117,
["z"] = 172 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} \\cdot -13 - (-14)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} - 1\\frac{3}{4}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{3}{4} - 1\\frac{3}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{4} - 1\\frac{3}{4})^3 + 2\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{4} \\cdot -13 - (-14)}{(2\\frac{3}{4} - 1\\frac{3}{4})^3 + 2\\frac{4}{13}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.69, bodu=141, $$(4\frac{4}{9} + 19 \cdot 2\frac{3}{8}) \cdot \frac{-16}{1\frac{4}{13}}=\textcolor{white}{-606\frac{76}{153}}$$return {
["body"] = 141,
["id"] = "vRCFxa_0928_2144",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -606.49673202614,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92794,
["jmenovatel"] = 153 },
["render"] = "\\frac{-742352}{1224}",
["typ"] = "cislo" },
["tex"] = "-606\\frac{76}{153}",
["x"] = -606,
["y"] = 76,
["z"] = 153 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "19 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} + 19 \\cdot 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + 19 \\cdot 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{1\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{4}{9} + 19 \\cdot 2\\frac{3}{8}) \\cdot \\frac{-16}{1\\frac{4}{13}}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.7, bodu=113, $$1\frac{5}{8} + (-16) + 9 \cdot -8 + \frac{17}{1\frac{2}{10}}=\textcolor{white}{-72\frac{5}{24}}$$return {
["body"] = 113,
["id"] = "GwdRad_0928_2144",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -72.208333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1733,
["jmenovatel"] = 24 },
["render"] = "\\frac{-3466}{48}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{5}{24}",
["x"] = -72,
["y"] = 5,
["z"] = 24 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + (-16)",
["typ"] = "plus" },
["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"] = "1\\frac{5}{8} + (-16) + 9 \\cdot -8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{8} + (-16) + 9 \\cdot -8 + \\frac{17}{1\\frac{2}{10}}",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.71, bodu=89, $$\frac{(\frac{5}{2\frac{4}{8}})^4 - (-18)}{\frac{-21}{-16}}=\textcolor{white}{25\frac{19}{21}}$$return {
["body"] = 89,
["id"] = "HDZ0U0_0928_2144",
["obtiznost"] = 0.9168,
["reseni"] = {
["float"] = 25.904761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 544,
["jmenovatel"] = 21 },
["render"] = "\\frac{544}{21}",
["typ"] = "cislo" },
["tex"] = "25\\frac{19}{21}",
["x"] = 25,
["y"] = 19,
["z"] = 21 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{2\\frac{4}{8}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{2\\frac{4}{8}})^4 - (-18)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{-16}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{5}{2\\frac{4}{8}})^4 - (-18)}{\\frac{-21}{-16}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.72, bodu=89, $$\frac{-9 + (-14 + 10 + 2\frac{5}{7} \cdot 6)}{4}=\textcolor{white}{\frac{23}{28}}$$return {
["body"] = 89,
["id"] = "vMyj3u_0928_2144",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 0.82142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 28 },
["render"] = "\\frac{23}{28}",
["typ"] = "cislo" },
["tex"] = "\\frac{23}{28}",
["y"] = 23,
["z"] = 28 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 6",
["typ"] = "krat" },
["render"] = "-14 + 10 + 2\\frac{5}{7} \\cdot 6",
["typ"] = "plus" },
["render"] = "-9 + (-14 + 10 + 2\\frac{5}{7} \\cdot 6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + (-14 + 10 + 2\\frac{5}{7} \\cdot 6)}{4}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.73, bodu=118, $$\frac{(13 + 16) \cdot (4\frac{5}{9} + (-3))}{16} - 3\frac{3}{8}=\textcolor{white}{-\frac{5}{9}}$$return {
["body"] = 118,
["id"] = "ZLMdA4_0928_2144",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -0.55555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 9 },
["render"] = "\\frac{-320}{576}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{9}",
["y"] = -5,
["z"] = 9 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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"] = "plus" },
["render"] = "(13 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + (-3)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + (-3))",
["typ"] = "zavorka" },
["render"] = "(13 + 16) \\cdot (4\\frac{5}{9} + (-3))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{(13 + 16) \\cdot (4\\frac{5}{9} + (-3))}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(13 + 16) \\cdot (4\\frac{5}{9} + (-3))}{16} - 3\\frac{3}{8}",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.74, bodu=119, $$4\frac{1}{6} + 11 - (-21) - 3\frac{1}{6} - 13 \cdot -12=\textcolor{white}{189}$$return {
["body"] = 119,
["id"] = "opz9xV_0928_2144",
["obtiznost"] = 1.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 189,
["jmenovatel"] = 1 },
["render"] = "\\frac{1134}{6}",
["typ"] = "cislo" },
["tex"] = "189",
["tex_float"] = "189",
["x"] = 189 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "11 - (-21)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "11 - (-21) - 3\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "13 \\cdot -12",
["typ"] = "krat" },
["render"] = "11 - (-21) - 3\\frac{1}{6} - 13 \\cdot -12",
["typ"] = "minus" },
["render"] = "4\\frac{1}{6} + 11 - (-21) - 3\\frac{1}{6} - 13 \\cdot -12",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.75, bodu=151, $$(11 - 1\frac{1}{6}) \cdot (-12 - 4\frac{1}{8} - (7 - 1\frac{4}{10}))=\textcolor{white}{-213\frac{151}{240}}$$return {
["body"] = 151,
["id"] = "AgjbXd_0928_2144",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -213.62916666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51271,
["jmenovatel"] = 240 },
["render"] = "\\frac{-51271}{240}",
["typ"] = "cislo" },
["tex"] = "-213\\frac{151}{240}",
["x"] = -213,
["y"] = 151,
["z"] = 240 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(11 - 1\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-12 - 4\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(7 - 1\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "-12 - 4\\frac{1}{8} - (7 - 1\\frac{4}{10})",
["typ"] = "minus" },
["render"] = "(-12 - 4\\frac{1}{8} - (7 - 1\\frac{4}{10}))",
["typ"] = "zavorka" },
["render"] = "(11 - 1\\frac{1}{6}) \\cdot (-12 - 4\\frac{1}{8} - (7 - 1\\frac{4}{10}))",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.76, bodu=122, $$\frac{(4\frac{3}{8} + 6) \cdot -14}{3\frac{5}{11} + (-12 - (-20))}=\textcolor{white}{-12\frac{49}{72}}$$return {
["body"] = 122,
["id"] = "sIt96t_0928_2144",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -12.680555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -913,
["jmenovatel"] = 72 },
["render"] = "\\frac{-6391}{504}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{49}{72}",
["x"] = -12,
["y"] = 49,
["z"] = 72 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 6",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{8} + 6) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-12 - (-20)",
["typ"] = "minus" },
["render"] = "3\\frac{5}{11} + (-12 - (-20))",
["typ"] = "plus" },
["render"] = "\\frac{(4\\frac{3}{8} + 6) \\cdot -14}{3\\frac{5}{11} + (-12 - (-20))}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.77, bodu=123, $$\frac{-12 \cdot -2}{-17} \cdot 2\frac{5}{13} \cdot 2\frac{1}{2}=\textcolor{white}{-8\frac{92}{221}}$$return {
["body"] = 123,
["id"] = "swahU7_0928_2144",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -8.4162895927602,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1860,
["jmenovatel"] = 221 },
["render"] = "\\frac{-3720}{442}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{92}{221}",
["x"] = -8,
["y"] = 92,
["z"] = 221 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot -2}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} \\cdot 2\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "\\frac{-12 \\cdot -2}{-17} \\cdot 2\\frac{5}{13} \\cdot 2\\frac{1}{2}",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.78, bodu=155, $$2\frac{1}{3} + 5 - 4\frac{3}{7} \cdot 11 - 4\frac{4}{9} + (-15)=\textcolor{white}{-60\frac{52}{63}}$$return {
["body"] = 155,
["id"] = "AT1dIs_0928_2144",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -60.825396825397,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3832,
["jmenovatel"] = 63 },
["render"] = "\\frac{-3832}{63}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{52}{63}",
["x"] = -60,
["y"] = 52,
["z"] = 63 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} + 5 - 4\\frac{3}{7} \\cdot 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 5 - 4\\frac{3}{7} \\cdot 11 - 4\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 5 - 4\\frac{3}{7} \\cdot 11 - 4\\frac{4}{9} + (-15)",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.79, bodu=126, $$\frac{-4}{9} \cdot (2\frac{5}{11} - 3\frac{2}{5}) \cdot 21=\textcolor{white}{8\frac{136}{165}}$$return {
["body"] = 126,
["id"] = "mkkiby_0928_2144",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 8.8242424242424,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1456,
["jmenovatel"] = 165 },
["render"] = "\\frac{4368}{495}",
["typ"] = "cislo" },
["tex"] = "8\\frac{136}{165}",
["x"] = 8,
["y"] = 136,
["z"] = 165 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 3\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - 3\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{11} - 3\\frac{2}{5}) \\cdot 21",
["typ"] = "krat" },
["render"] = "\\frac{-4}{9} \\cdot (2\\frac{5}{11} - 3\\frac{2}{5}) \\cdot 21",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.8, bodu=159, $$\frac{-11}{-14} - ((4\frac{1}{7} - 3\frac{1}{7})^2 - (13 - 1\frac{3}{8}))=\textcolor{white}{11\frac{23}{56}}$$return {
["body"] = 159,
["id"] = "2rhfQB_0928_2144",
["obtiznost"] = 1.4008,
["reseni"] = {
["float"] = 11.410714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 639,
["jmenovatel"] = 56 },
["render"] = "\\frac{1278}{112}",
["typ"] = "cislo" },
["tex"] = "11\\frac{23}{56}",
["x"] = 11,
["y"] = 23,
["z"] = 56 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 3\\frac{1}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{7} - 3\\frac{1}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(13 - 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{1}{7} - 3\\frac{1}{7})^2 - (13 - 1\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "((4\\frac{1}{7} - 3\\frac{1}{7})^2 - (13 - 1\\frac{3}{8}))",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{-14} - ((4\\frac{1}{7} - 3\\frac{1}{7})^2 - (13 - 1\\frac{3}{8}))",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.81, bodu=147, $$18 \cdot (-8 + \frac{-14 - (4\frac{5}{12} - 8)}{(-11 + 2\frac{2}{4})^2})=\textcolor{white}{-146\frac{172}{289}}$$return {
["body"] = 147,
["id"] = "8sHmJF_0928_2144",
["obtiznost"] = 1.3272,
["reseni"] = {
["float"] = -146.59515570934,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42366,
["jmenovatel"] = 289 },
["render"] = "\\frac{-127098}{867}",
["typ"] = "cislo" },
["tex"] = "-146\\frac{172}{289}",
["x"] = -146,
["y"] = 172,
["z"] = 289 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 8",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - 8)",
["typ"] = "zavorka" },
["render"] = "-14 - (4\\frac{5}{12} - 8)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-11 + 2\\frac{2}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 2\\frac{2}{4})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-14 - (4\\frac{5}{12} - 8)}{(-11 + 2\\frac{2}{4})^2}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{-14 - (4\\frac{5}{12} - 8)}{(-11 + 2\\frac{2}{4})^2}",
["typ"] = "plus" },
["render"] = "(-8 + \\frac{-14 - (4\\frac{5}{12} - 8)}{(-11 + 2\\frac{2}{4})^2})",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (-8 + \\frac{-14 - (4\\frac{5}{12} - 8)}{(-11 + 2\\frac{2}{4})^2})",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.82, bodu=195, $$\frac{-10}{1\frac{1}{10}} - (4\frac{5}{6} - 20) + 1\frac{2}{4} \cdot 1\frac{4}{7}=\textcolor{white}{8\frac{100}{231}}$$return {
["body"] = 195,
["id"] = "Y6NSWh_0928_2144",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 8.4329004329004,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1948,
["jmenovatel"] = 231 },
["render"] = "\\frac{7792}{924}",
["typ"] = "cislo" },
["tex"] = "8\\frac{100}{231}",
["x"] = 8,
["y"] = 100,
["z"] = 231 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{6} - 20",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{6} - 20)",
["typ"] = "zavorka" },
["render"] = "\\frac{-10}{1\\frac{1}{10}} - (4\\frac{5}{6} - 20)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} \\cdot 1\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{-10}{1\\frac{1}{10}} - (4\\frac{5}{6} - 20) + 1\\frac{2}{4} \\cdot 1\\frac{4}{7}",
["typ"] = "plus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.83, bodu=104, $$(-12 - 2\frac{2}{8}) \cdot (\frac{-21}{-5} - (8 - (-12)))=\textcolor{white}{225{,}15}$$return {
["body"] = 104,
["id"] = "1rJX7m_0928_2144",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 225.15,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4503,
["jmenovatel"] = 20 },
["render"] = "\\frac{4503}{20}",
["typ"] = "cislo" },
["tex"] = "225\\frac{3}{20}",
["tex_float"] = "225{,}15",
["x"] = 225,
["y"] = 3,
["z"] = 20 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(-12 - 2\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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"] = "(8 - (-12))",
["typ"] = "zavorka" },
["render"] = "\\frac{-21}{-5} - (8 - (-12))",
["typ"] = "minus" },
["render"] = "(\\frac{-21}{-5} - (8 - (-12)))",
["typ"] = "zavorka" },
["render"] = "(-12 - 2\\frac{2}{8}) \\cdot (\\frac{-21}{-5} - (8 - (-12)))",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.84, bodu=134, $$\frac{13 \cdot 1\frac{1}{9} + 17 + (-17)}{-10 \cdot (13 + 4\frac{3}{5})}=\textcolor{white}{-\frac{65}{792}}$$return {
["body"] = 134,
["id"] = "Fe8Y3m_0928_2144",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -0.082070707070707,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 792 },
["render"] = "\\frac{130}{-1584}",
["typ"] = "cislo" },
["tex"] = "-\\frac{65}{792}",
["y"] = -65,
["z"] = 792 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{1}{9} + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{1}{9} + 17 + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (13 + 4\\frac{3}{5})",
["typ"] = "krat" },
["render"] = "\\frac{13 \\cdot 1\\frac{1}{9} + 17 + (-17)}{-10 \\cdot (13 + 4\\frac{3}{5})}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.85, bodu=202, $$(\frac{2\frac{3}{9}}{-7})^3 - (12 - 1\frac{2}{8} - 4\frac{3}{9} \cdot 3\frac{2}{7})=\textcolor{white}{3\frac{341}{756}}$$return {
["body"] = 202,
["id"] = "nbXZw8_0928_2144",
["obtiznost"] = 1.6612,
["reseni"] = {
["float"] = 3.4510582010582,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2609,
["jmenovatel"] = 756 },
["render"] = "\\frac{7827}{2268}",
["typ"] = "cislo" },
["tex"] = "3\\frac{341}{756}",
["x"] = 3,
["y"] = 341,
["z"] = 756 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.85",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{3}{9}}{-7})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "12 - 1\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "12 - 1\\frac{2}{8} - 4\\frac{3}{9} \\cdot 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(12 - 1\\frac{2}{8} - 4\\frac{3}{9} \\cdot 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(\\frac{2\\frac{3}{9}}{-7})^3 - (12 - 1\\frac{2}{8} - 4\\frac{3}{9} \\cdot 3\\frac{2}{7})",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.86, bodu=168, $$(12 - \frac{1\frac{2}{5}}{3\frac{2}{5}}) \cdot (12 - (3\frac{2}{8} + (-13)))=\textcolor{white}{252\frac{3}{68}}$$return {
["body"] = 168,
["id"] = "ExTHN6_0928_2144",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 252.04411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17139,
["jmenovatel"] = 68 },
["render"] = "\\frac{17139}{68}",
["typ"] = "cislo" },
["tex"] = "252\\frac{3}{68}",
["x"] = 252,
["y"] = 3,
["z"] = 68 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{3\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{1\\frac{2}{5}}{3\\frac{2}{5}}",
["typ"] = "minus" },
["render"] = "(12 - \\frac{1\\frac{2}{5}}{3\\frac{2}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + (-13)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{8} + (-13))",
["typ"] = "zavorka" },
["render"] = "12 - (3\\frac{2}{8} + (-13))",
["typ"] = "minus" },
["render"] = "(12 - (3\\frac{2}{8} + (-13)))",
["typ"] = "zavorka" },
["render"] = "(12 - \\frac{1\\frac{2}{5}}{3\\frac{2}{5}}) \\cdot (12 - (3\\frac{2}{8} + (-13)))",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.87, bodu=83, $$\frac{17 + 17}{\frac{14}{-16} + 5 \cdot 16}=\textcolor{white}{\frac{272}{633}}$$return {
["body"] = 83,
["id"] = "pVAEfF_0928_2144",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 0.42969984202212,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 633 },
["render"] = "\\frac{272}{633}",
["typ"] = "cislo" },
["tex"] = "\\frac{272}{633}",
["y"] = 272,
["z"] = 633 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "17 + 17",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "5 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{14}{-16} + 5 \\cdot 16",
["typ"] = "plus" },
["render"] = "\\frac{17 + 17}{\\frac{14}{-16} + 5 \\cdot 16}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.88, bodu=172, $$1\frac{3}{8} - \frac{1\frac{3}{7}}{2\frac{3}{14} \cdot -10} - \frac{-22}{14}=\textcolor{white}{3\frac{19}{1736}}$$return {
["body"] = 172,
["id"] = "4YeFXY_0928_2144",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 3.0109447004608,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5227,
["jmenovatel"] = 1736 },
["render"] = "\\frac{5227}{1736}",
["typ"] = "cislo" },
["tex"] = "3\\frac{19}{1736}",
["x"] = 3,
["y"] = 19,
["z"] = 1736 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 14 },
["render"] = "2\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{14} \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{3}{14} \\cdot -10}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} - \\frac{1\\frac{3}{7}}{2\\frac{3}{14} \\cdot -10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{14}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} - \\frac{1\\frac{3}{7}}{2\\frac{3}{14} \\cdot -10} - \\frac{-22}{14}",
["typ"] = "minus" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.89, bodu=173, $$(1\frac{2}{11} - (2\frac{2}{12} + 2\frac{3}{9})) \cdot (-12 \cdot 10 - (-16))=\textcolor{white}{345\frac{1}{11}}$$return {
["body"] = 173,
["id"] = "OLVBeK_0928_2144",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = 345.09090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3796,
["jmenovatel"] = 11 },
["render"] = "\\frac{7592}{22}",
["typ"] = "cislo" },
["tex"] = "345\\frac{1}{11}",
["x"] = 345,
["y"] = 1,
["z"] = 11 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{12} + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{12} + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{11} - (2\\frac{2}{12} + 2\\frac{3}{9})",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{11} - (2\\frac{2}{12} + 2\\frac{3}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 10 - (-16)",
["typ"] = "minus" },
["render"] = "(-12 \\cdot 10 - (-16))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{11} - (2\\frac{2}{12} + 2\\frac{3}{9})) \\cdot (-12 \\cdot 10 - (-16))",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.9, bodu=175, $$\frac{\frac{-17}{-21 \cdot (4\frac{5}{13} + 3\frac{4}{8}) + (-21)}}{3\frac{1}{7}}=\textcolor{white}{\frac{221}{7623}}$$return {
["body"] = 175,
["id"] = "GbJlyF_0928_2144",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 0.028991210809393,
["objekt"] = {
["hodnota"] = {
["citatel"] = 221,
["jmenovatel"] = 7623 },
["render"] = "\\frac{3094}{106722}",
["typ"] = "cislo" },
["tex"] = "\\frac{221}{7623}",
["y"] = 221,
["z"] = 7623 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{13} + 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "-21 \\cdot (4\\frac{5}{13} + 3\\frac{4}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-21 \\cdot (4\\frac{5}{13} + 3\\frac{4}{8}) + (-21)",
["typ"] = "plus" },
["render"] = "\\frac{-17}{-21 \\cdot (4\\frac{5}{13} + 3\\frac{4}{8}) + (-21)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-17}{-21 \\cdot (4\\frac{5}{13} + 3\\frac{4}{8}) + (-21)}}{3\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.91, bodu=144, $$\frac{-13}{\frac{23}{\frac{2\frac{2}{6}}{\frac{1\frac{5}{11}}{-15}}}}=\textcolor{white}{13\frac{221}{368}}$$return {
["body"] = 144,
["id"] = "kTuDxA_0928_2144",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 13.600543478261,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5005,
["jmenovatel"] = 368 },
["render"] = "\\frac{-5005}{-368}",
["typ"] = "cislo" },
["tex"] = "13\\frac{221}{368}",
["x"] = 13,
["y"] = 221,
["z"] = 368 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{6}}{\\frac{1\\frac{5}{11}}{-15}}",
["typ"] = "lomeno" },
["render"] = "\\frac{23}{\\frac{2\\frac{2}{6}}{\\frac{1\\frac{5}{11}}{-15}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{23}{\\frac{2\\frac{2}{6}}{\\frac{1\\frac{5}{11}}{-15}}}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.92, bodu=178, $$\frac{\frac{3\frac{5}{9} \cdot 3\frac{1}{3}}{4\frac{2}{4}} - (10 - 10)}{-17}=\textcolor{white}{-\frac{640}{4131}}$$return {
["body"] = 178,
["id"] = "Q2zDJP_0928_2144",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -0.15492616799806,
["objekt"] = {
["hodnota"] = {
["citatel"] = -640,
["jmenovatel"] = 4131 },
["render"] = "\\frac{640}{-4131}",
["typ"] = "cislo" },
["tex"] = "-\\frac{640}{4131}",
["y"] = -640,
["z"] = 4131 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 3\\frac{1}{3}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9} \\cdot 3\\frac{1}{3}}{4\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 - 10",
["typ"] = "minus" },
["render"] = "(10 - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{9} \\cdot 3\\frac{1}{3}}{4\\frac{2}{4}} - (10 - 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{5}{9} \\cdot 3\\frac{1}{3}}{4\\frac{2}{4}} - (10 - 10)}{-17}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.93, bodu=148, $$\frac{1\frac{4}{14}}{\frac{13}{4\frac{5}{13} - (-19 + \frac{-7}{-9} + 9)}}=\textcolor{white}{1\frac{409}{1183}}$$return {
["body"] = 148,
["id"] = "ClY4JH_0928_2144",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 1.345731191885,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1592,
["jmenovatel"] = 1183 },
["render"] = "\\frac{14328}{10647}",
["typ"] = "cislo" },
["tex"] = "1\\frac{409}{1183}",
["x"] = 1,
["y"] = 409,
["z"] = 1183 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-9} + 9",
["typ"] = "plus" },
["render"] = "-19 + \\frac{-7}{-9} + 9",
["typ"] = "plus" },
["render"] = "(-19 + \\frac{-7}{-9} + 9)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{13} - (-19 + \\frac{-7}{-9} + 9)",
["typ"] = "minus" },
["render"] = "\\frac{13}{4\\frac{5}{13} - (-19 + \\frac{-7}{-9} + 9)}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{14}}{\\frac{13}{4\\frac{5}{13} - (-19 + \\frac{-7}{-9} + 9)}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.94, bodu=243, $$\frac{(-13 + 4\frac{5}{12} \cdot 5) \cdot (2\frac{5}{12} - 3\frac{1}{8})^2}{15}=\textcolor{white}{\frac{31501}{103680}}$$return {
["body"] = 243,
["id"] = "weuHOh_0928_2144",
["obtiznost"] = 1.886,
["reseni"] = {
["float"] = 0.30382908950617,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31501,
["jmenovatel"] = 103680 },
["render"] = "\\frac{31501}{103680}",
["typ"] = "cislo" },
["tex"] = "\\frac{31501}{103680}",
["y"] = 31501,
["z"] = 103680 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} \\cdot 5",
["typ"] = "krat" },
["render"] = "-13 + 4\\frac{5}{12} \\cdot 5",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{5}{12} \\cdot 5)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - 3\\frac{1}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{5}{12} - 3\\frac{1}{8})^2",
["typ"] = "mocnina" },
["render"] = "(-13 + 4\\frac{5}{12} \\cdot 5) \\cdot (2\\frac{5}{12} - 3\\frac{1}{8})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 4\\frac{5}{12} \\cdot 5) \\cdot (2\\frac{5}{12} - 3\\frac{1}{8})^2}{15}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.95, bodu=218, $$\frac{16}{\frac{6}{3\frac{5}{11}} - 18 + 4\frac{2}{7} + \frac{2\frac{5}{13}}{3\frac{3}{11}}}=\textcolor{white}{-1\frac{295733}{700171}}$$return {
["body"] = 218,
["id"] = "IPU3cZ_0928_2144",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -1.4223725347094,
["objekt"] = {
["hodnota"] = {
["citatel"] = -995904,
["jmenovatel"] = 700171 },
["render"] = "\\frac{995904}{-700171}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{295733}{700171}",
["x"] = -1,
["y"] = 295733,
["z"] = 700171 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{5}{11}} - 18",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{3\\frac{5}{11}} - 18 + 4\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{3\\frac{5}{11}} - 18 + 4\\frac{2}{7} + \\frac{2\\frac{5}{13}}{3\\frac{3}{11}}",
["typ"] = "plus" },
["render"] = "\\frac{16}{\\frac{6}{3\\frac{5}{11}} - 18 + 4\\frac{2}{7} + \\frac{2\\frac{5}{13}}{3\\frac{3}{11}}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.96, bodu=152, $$\frac{2\frac{2}{6} - (8 + 9 \cdot \frac{-15}{-8})}{4\frac{3}{9}}=\textcolor{white}{-5\frac{21}{104}}$$return {
["body"] = 152,
["id"] = "3RFhb3_0928_2144",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -5.2019230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -541,
["jmenovatel"] = 104 },
["render"] = "\\frac{-1623}{312}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{21}{104}",
["x"] = -5,
["y"] = 21,
["z"] = 104 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-8}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{-15}{-8}",
["typ"] = "krat" },
["render"] = "8 + 9 \\cdot \\frac{-15}{-8}",
["typ"] = "plus" },
["render"] = "(8 + 9 \\cdot \\frac{-15}{-8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{6} - (8 + 9 \\cdot \\frac{-15}{-8})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6} - (8 + 9 \\cdot \\frac{-15}{-8})}{4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.97, bodu=258, $$2\frac{1}{7} \cdot (4\frac{2}{7} \cdot -16 + \frac{-8}{3\frac{3}{13} - 4\frac{5}{9} + 2\frac{3}{5}})=\textcolor{white}{-160\frac{6980}{18277}}$$return {
["body"] = 258,
["id"] = "utW8F5_0928_2144",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = -160.38190074958,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2931300,
["jmenovatel"] = 18277 },
["render"] = "\\frac{-2931300}{18277}",
["typ"] = "cislo" },
["tex"] = "-160\\frac{6980}{18277}",
["x"] = -160,
["y"] = 6980,
["z"] = 18277 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{13} - 4\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{13} - 4\\frac{5}{9} + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "\\frac{-8}{3\\frac{3}{13} - 4\\frac{5}{9} + 2\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{7} \\cdot -16 + \\frac{-8}{3\\frac{3}{13} - 4\\frac{5}{9} + 2\\frac{3}{5}}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} \\cdot -16 + \\frac{-8}{3\\frac{3}{13} - 4\\frac{5}{9} + 2\\frac{3}{5}})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot (4\\frac{2}{7} \\cdot -16 + \\frac{-8}{3\\frac{3}{13} - 4\\frac{5}{9} + 2\\frac{3}{5}})",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.98, bodu=138, $$4\frac{2}{9} \cdot (13 + \frac{-22}{(\frac{-20}{-22})^2} \cdot 8)=\textcolor{white}{-844\frac{62}{225}}$$return {
["body"] = 138,
["id"] = "KpWFwL_0928_2144",
["obtiznost"] = 1.2684,
["reseni"] = {
["float"] = -844.27555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189962,
["jmenovatel"] = 225 },
["render"] = "\\frac{-189962}{225}",
["typ"] = "cislo" },
["tex"] = "-844\\frac{62}{225}",
["x"] = -844,
["y"] = 62,
["z"] = 225 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{-22}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-20}{-22})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-22}{(\\frac{-20}{-22})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{(\\frac{-20}{-22})^2} \\cdot 8",
["typ"] = "krat" },
["render"] = "13 + \\frac{-22}{(\\frac{-20}{-22})^2} \\cdot 8",
["typ"] = "plus" },
["render"] = "(13 + \\frac{-22}{(\\frac{-20}{-22})^2} \\cdot 8)",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{9} \\cdot (13 + \\frac{-22}{(\\frac{-20}{-22})^2} \\cdot 8)",
["typ"] = "krat" } }
seed: 2qfCrufKCo0c5NpDoxbX_0.99, bodu=264, $$\frac{1\frac{1}{6} + (4\frac{1}{8} - 1\frac{1}{8})^3 - 3\frac{2}{8}}{\frac{3}{3\frac{4}{8}}}=\textcolor{white}{29\frac{5}{72}}$$return {
["body"] = 264,
["id"] = "ljMMMZ_0928_2144",
["obtiznost"] = 2.0012,
["reseni"] = {
["float"] = 29.069444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2093,
["jmenovatel"] = 72 },
["render"] = "\\frac{2093}{72}",
["typ"] = "cislo" },
["tex"] = "29\\frac{5}{72}",
["x"] = 29,
["y"] = 5,
["z"] = 72 },
["seed"] = "2qfCrufKCo0c5NpDoxbX_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - 1\\frac{1}{8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{1}{8} - 1\\frac{1}{8})^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{6} + (4\\frac{1}{8} - 1\\frac{1}{8})^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + (4\\frac{1}{8} - 1\\frac{1}{8})^3 - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{1}{6} + (4\\frac{1}{8} - 1\\frac{1}{8})^3 - 3\\frac{2}{8}}{\\frac{3}{3\\frac{4}{8}}}",
["typ"] = "lomeno" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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200w.gif: 
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5ba.gif: 
AS001921_15.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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ecstatic.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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poehler.gif: 
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tedfghdfghnor.gif: 
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well-done-jennifer-anniston-clap-applause-2.gif: 