- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: TpqmqoYbHv2eQymy2c1k_0, bodu=5, $$5 \cdot (-5 - 7) + 4=\textcolor{white}{-56}$$return {
["body"] = 5,
["id"] = "yGlYxj_0216_1912",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -56,
["jmenovatel"] = 1 },
["render"] = "\\frac{-56}{1}",
["typ"] = "cislo" },
["tex"] = "-56",
["x"] = -56 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 - 7",
["typ"] = "minus" },
["render"] = "(-5 - 7)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (-5 - 7)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot (-5 - 7) + 4",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.01, bodu=29, $$(\frac{5}{4})^4 \cdot (10 - (-8))=\textcolor{white}{43\frac{121}{128}}$$return {
["body"] = 29,
["id"] = "S1zBDD_0216_1912",
["obtiznost"] = 0.3624,
["reseni"] = {
["float"] = 43.9453125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5625,
["jmenovatel"] = 128 },
["render"] = "\\frac{11250}{256}",
["typ"] = "cislo" },
["tex"] = "43\\frac{121}{128}",
["x"] = 43,
["y"] = 121,
["z"] = 128 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{4})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 - (-8)",
["typ"] = "minus" },
["render"] = "(10 - (-8))",
["typ"] = "zavorka" },
["render"] = "(\\frac{5}{4})^4 \\cdot (10 - (-8))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.02, bodu=5, $$(10 - 6)^3 + 5 - 10=\textcolor{white}{59}$$return {
["body"] = 5,
["id"] = "b7YSZj_0216_1912",
["obtiznost"] = 0.046,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 1 },
["render"] = "\\frac{59}{1}",
["typ"] = "cislo" },
["tex"] = "59",
["x"] = 59 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(10 - 6)^3 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(10 - 6)^3 + 5 - 10",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.03, bodu=10, $$\frac{8}{2 + 5 \cdot 10}=\textcolor{white}{\frac{2}{13}}$$return {
["body"] = 10,
["id"] = "vuZwNw_0216_1912",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.15384615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 13 },
["render"] = "\\frac{8}{52}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{13}",
["y"] = 2,
["z"] = 13 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 \\cdot 10",
["typ"] = "krat" },
["render"] = "2 + 5 \\cdot 10",
["typ"] = "plus" },
["render"] = "\\frac{8}{2 + 5 \\cdot 10}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.04, bodu=10, $$\frac{8}{10 \cdot (5 + 4)}=\textcolor{white}{\frac{4}{45}}$$return {
["body"] = 10,
["id"] = "F3VtcO_0216_1912",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.088888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 45 },
["render"] = "\\frac{8}{90}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{45}",
["y"] = 4,
["z"] = 45 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["render"] = "(5 + 4)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (5 + 4)",
["typ"] = "krat" },
["render"] = "\\frac{8}{10 \\cdot (5 + 4)}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.05, bodu=5, $$6 - 5 + 8 + 4 + 5=\textcolor{white}{18}$$return {
["body"] = 5,
["id"] = "iH7MBt_0216_1912",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["x"] = 18 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.05",
["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 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 4",
["typ"] = "plus" },
["render"] = "6 - 5 + 8 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5 + 8 + 4 + 5",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.06, bodu=11, $$\frac{-6}{8} \cdot -7=\textcolor{white}{5{,}25}$$return {
["body"] = 11,
["id"] = "ZYPXuc_0216_1912",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 5.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 4 },
["render"] = "\\frac{21}{4}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{4}",
["tex_float"] = "5{,}25",
["x"] = 5,
["y"] = 1,
["z"] = 4 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.06",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{8} \\cdot -7",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.07, bodu=13, $$\frac{7}{(\frac{8}{5})^2}=\textcolor{white}{2\frac{47}{64}}$$return {
["body"] = 13,
["id"] = "qNJTAu_0216_1912",
["obtiznost"] = 0.1056,
["reseni"] = {
["float"] = 2.734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 64 },
["render"] = "\\frac{175}{64}",
["typ"] = "cislo" },
["tex"] = "2\\frac{47}{64}",
["x"] = 2,
["y"] = 47,
["z"] = 64 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{5})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(\\frac{8}{5})^2}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.08, bodu=12, $$\frac{10 - 5 \cdot 9}{5}=\textcolor{white}{-7}$$return {
["body"] = 12,
["id"] = "nG8wbt_0216_1912",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "\\frac{-35}{5}",
["typ"] = "cislo" },
["tex"] = "-7",
["tex_float"] = "-7",
["x"] = -7 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "10 - 5 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 5 \\cdot 9}{5}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.09, bodu=17, $$\frac{(9 + 7)^2}{-4 \cdot -7}=\textcolor{white}{9\frac{1}{7}}$$return {
["body"] = 17,
["id"] = "0DzAhg_0216_1912",
["obtiznost"] = 0.1928,
["reseni"] = {
["float"] = 9.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 7 },
["render"] = "\\frac{256}{28}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{7}",
["x"] = 9,
["y"] = 1,
["z"] = 7 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.09",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{(9 + 7)^2}{-4 \\cdot -7}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.1, bodu=12, $$-6 - 7 + \frac{6}{5}=\textcolor{white}{-11{,}8}$$return {
["body"] = 12,
["id"] = "AW8de1_0216_1912",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -11.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -59,
["jmenovatel"] = 5 },
["render"] = "\\frac{-59}{5}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{4}{5}",
["tex_float"] = "-11{,}8",
["x"] = -11,
["y"] = 4,
["z"] = 5 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["render"] = "-6 - 7 + \\frac{6}{5}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.11, bodu=29, $$(\frac{9}{-5 \cdot (7 + 8)})^2=\textcolor{white}{\frac{9}{625}}$$return {
["body"] = 29,
["id"] = "NiV3Gg_0216_1912",
["obtiznost"] = 0.3636,
["reseni"] = {
["float"] = 0.0144,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 625 },
["render"] = "\\frac{9}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{625}",
["y"] = 9,
["z"] = 625 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (7 + 8)",
["typ"] = "krat" },
["render"] = "\\frac{9}{-5 \\cdot (7 + 8)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-5 \\cdot (7 + 8)})^2",
["typ"] = "mocnina" } }
seed: TpqmqoYbHv2eQymy2c1k_0.12, bodu=13, $$\frac{\frac{8}{3}}{6}=\textcolor{white}{\frac{4}{9}}$$return {
["body"] = 13,
["id"] = "m2wak4_0216_1912",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.44444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 9 },
["render"] = "\\frac{8}{18}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{9}",
["y"] = 4,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{3}}{6}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.13, bodu=14, $$\frac{10}{11} + (-9 - 12)=\textcolor{white}{-20\frac{1}{11}}$$return {
["body"] = 14,
["id"] = "ctMNJe_0216_1912",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -20.090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -221,
["jmenovatel"] = 11 },
["render"] = "\\frac{-221}{11}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{1}{11}",
["x"] = -20,
["y"] = 1,
["z"] = 11 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["render"] = "\\frac{10}{11} + (-9 - 12)",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.14, bodu=14, $$\frac{9}{5} \cdot 3=\textcolor{white}{5{,}4}$$return {
["body"] = 14,
["id"] = "XmoW0M_0216_1912",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 5.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 5 },
["render"] = "\\frac{27}{5}",
["typ"] = "cislo" },
["tex"] = "5\\frac{2}{5}",
["tex_float"] = "5{,}4",
["x"] = 5,
["y"] = 2,
["z"] = 5 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.14",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5} \\cdot 3",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.15, bodu=15, $$10 \cdot \frac{-6}{(10 - 7)^2}=\textcolor{white}{-6\frac{2}{3}}$$return {
["body"] = 15,
["id"] = "27YQL3_0216_1912",
["obtiznost"] = 0.154,
["reseni"] = {
["float"] = -6.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 3 },
["render"] = "\\frac{-20}{3}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{2}{3}",
["x"] = -6,
["y"] = 2,
["z"] = 3 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-6}{(10 - 7)^2}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{-6}{(10 - 7)^2}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.16, bodu=47, $$\frac{2\frac{5}{9}}{10} \cdot 3\frac{1}{5}=\textcolor{white}{\frac{184}{225}}$$return {
["body"] = 47,
["id"] = "rehZNL_0216_1912",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 0.81777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184,
["jmenovatel"] = 225 },
["render"] = "\\frac{368}{450}",
["typ"] = "cislo" },
["tex"] = "\\frac{184}{225}",
["y"] = 184,
["z"] = 225 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{10} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.17, bodu=16, $$\frac{6 \cdot 7 + 5}{8}=\textcolor{white}{5{,}875}$$return {
["body"] = 16,
["id"] = "o38wW8_0216_1912",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 5.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 8 },
["render"] = "\\frac{47}{8}",
["typ"] = "cislo" },
["tex"] = "5\\frac{7}{8}",
["tex_float"] = "5{,}875",
["x"] = 5,
["y"] = 7,
["z"] = 8 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 7 + 5}{8}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.18, bodu=16, $$10 \cdot (5 + \frac{5}{4})=\textcolor{white}{62{,}5}$$return {
["body"] = 16,
["id"] = "PdivyU_0216_1912",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 62.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 2 },
["render"] = "\\frac{250}{4}",
["typ"] = "cislo" },
["tex"] = "62\\frac{1}{2}",
["tex_float"] = "62{,}5",
["x"] = 62,
["y"] = 1,
["z"] = 2 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{4}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{5}{4}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{5}{4})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (5 + \\frac{5}{4})",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.19, bodu=8, $$6 + 5 \cdot 9 - 8=\textcolor{white}{43}$$return {
["body"] = 8,
["id"] = "KeGvEs_0216_1912",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 1 },
["render"] = "\\frac{43}{1}",
["typ"] = "cislo" },
["tex"] = "43",
["tex_float"] = "43",
["x"] = 43 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "6 + 5 \\cdot 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 5 \\cdot 9 - 8",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.2, bodu=32, $$\frac{12 + (-9)}{3\frac{1}{5}} \cdot (-5 - 14)=\textcolor{white}{-17\frac{13}{16}}$$return {
["body"] = 32,
["id"] = "PSHjmU_0216_1912",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -17.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -285,
["jmenovatel"] = 16 },
["render"] = "\\frac{-285}{16}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{13}{16}",
["x"] = -17,
["y"] = 13,
["z"] = 16 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12 + (-9)}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-5 - 14",
["typ"] = "minus" },
["render"] = "(-5 - 14)",
["typ"] = "zavorka" },
["render"] = "\\frac{12 + (-9)}{3\\frac{1}{5}} \\cdot (-5 - 14)",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.21, bodu=9, $$8 - 12 - 10 + 6 + 8=\textcolor{white}{0}$$return {
["body"] = 9,
["id"] = "q09w6y_0216_1912",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 12 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "8 - 12 - 10 + 6 + 8",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.22, bodu=9, $$-10 + 8 - 10 - (6 + (-6) + 6)=\textcolor{white}{-18}$$return {
["body"] = 9,
["id"] = "VC3R0I_0216_1912",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "\\frac{-18}{1}",
["typ"] = "cislo" },
["tex"] = "-18",
["x"] = -18 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["render"] = "-10 + 8 - 10",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + (-6) + 6",
["typ"] = "plus" },
["render"] = "(6 + (-6) + 6)",
["typ"] = "zavorka" },
["render"] = "-10 + 8 - 10 - (6 + (-6) + 6)",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.23, bodu=39, $$5 + 9 - \frac{(-3 - 2)^4}{-7}=\textcolor{white}{103\frac{2}{7}}$$return {
["body"] = 39,
["id"] = "UgDKgE_0216_1912",
["obtiznost"] = 0.4804,
["reseni"] = {
["float"] = 103.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 723,
["jmenovatel"] = 7 },
["render"] = "\\frac{723}{7}",
["typ"] = "cislo" },
["tex"] = "103\\frac{2}{7}",
["x"] = 103,
["y"] = 2,
["z"] = 7 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-3 - 2",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-3 - 2)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(-3 - 2)^4}{-7}",
["typ"] = "lomeno" },
["render"] = "5 + 9 - \\frac{(-3 - 2)^4}{-7}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.24, bodu=20, $$12 - \frac{13}{-3 - 6}=\textcolor{white}{13\frac{4}{9}}$$return {
["body"] = 20,
["id"] = "UOmnQG_0216_1912",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 13.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 9 },
["render"] = "\\frac{121}{9}",
["typ"] = "cislo" },
["tex"] = "13\\frac{4}{9}",
["x"] = 13,
["y"] = 4,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 - 6",
["typ"] = "minus" },
["render"] = "\\frac{13}{-3 - 6}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{13}{-3 - 6}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.25, bodu=24, $$(\frac{(-7 + (-4 + 8))^2}{8 + (12 - 8)^2})^2=\textcolor{white}{\frac{9}{64}}$$return {
["body"] = 24,
["id"] = "NSWkbn_0216_1912",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 0.140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 64 },
["render"] = "\\frac{9}{64}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{64}",
["y"] = 9,
["z"] = 64 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 + 8",
["typ"] = "plus" },
["render"] = "-7 + (-4 + 8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + (-4 + 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 8)^2",
["typ"] = "mocnina" },
["render"] = "8 + (12 - 8)^2",
["typ"] = "plus" },
["render"] = "\\frac{(-7 + (-4 + 8))^2}{8 + (12 - 8)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(-7 + (-4 + 8))^2}{8 + (12 - 8)^2})^2",
["typ"] = "mocnina" } }
seed: TpqmqoYbHv2eQymy2c1k_0.26, bodu=10, $$9 - 7 \cdot (-5 - 11)=\textcolor{white}{121}$$return {
["body"] = 10,
["id"] = "B0vGWC_0216_1912",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 1 },
["render"] = "\\frac{121}{1}",
["typ"] = "cislo" },
["tex"] = "121",
["tex_float"] = "121",
["x"] = 121 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["render"] = "(-5 - 11)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-5 - 11)",
["typ"] = "krat" },
["render"] = "9 - 7 \\cdot (-5 - 11)",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.27, bodu=59, $$((-8 + 7)^2 + 11) \cdot 2\frac{1}{4} \cdot 3\frac{1}{5}=\textcolor{white}{86{,}4}$$return {
["body"] = 59,
["id"] = "8CAtFC_0216_1912",
["obtiznost"] = 0.6708,
["reseni"] = {
["float"] = 86.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 432,
["jmenovatel"] = 5 },
["render"] = "\\frac{432}{5}",
["typ"] = "cislo" },
["tex"] = "86\\frac{2}{5}",
["tex_float"] = "86{,}4",
["x"] = 86,
["y"] = 2,
["z"] = 5 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-8 + 7)^2 + 11",
["typ"] = "plus" },
["render"] = "((-8 + 7)^2 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "((-8 + 7)^2 + 11) \\cdot 2\\frac{1}{4} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.28, bodu=23, $$(-6 + \frac{-5}{10}) \cdot 9=\textcolor{white}{-58{,}5}$$return {
["body"] = 23,
["id"] = "E5m4o3_0216_1912",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -58.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 2 },
["render"] = "\\frac{-117}{2}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{1}{2}",
["tex_float"] = "-58{,}5",
["x"] = -58,
["y"] = 1,
["z"] = 2 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{10}",
["typ"] = "lomeno" },
["render"] = "-6 + \\frac{-5}{10}",
["typ"] = "plus" },
["render"] = "(-6 + \\frac{-5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-6 + \\frac{-5}{10}) \\cdot 9",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.29, bodu=61, $$12 - 3\frac{4}{11} \cdot 3\frac{3}{9} \cdot -6=\textcolor{white}{79\frac{3}{11}}$$return {
["body"] = 61,
["id"] = "LqBh4a_0216_1912",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 79.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 872,
["jmenovatel"] = 11 },
["render"] = "\\frac{872}{11}",
["typ"] = "cislo" },
["tex"] = "79\\frac{3}{11}",
["x"] = 79,
["y"] = 3,
["z"] = 11 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -6",
["typ"] = "krat" },
["render"] = "3\\frac{4}{11} \\cdot 3\\frac{3}{9} \\cdot -6",
["typ"] = "krat" },
["render"] = "12 - 3\\frac{4}{11} \\cdot 3\\frac{3}{9} \\cdot -6",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.3, bodu=12, $$10 \cdot (6 - 3 + 10) - (-9)=\textcolor{white}{139}$$return {
["body"] = 12,
["id"] = "tOvjEl_0216_1912",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 139,
["jmenovatel"] = 1 },
["render"] = "\\frac{139}{1}",
["typ"] = "cislo" },
["tex"] = "139",
["tex_float"] = "139",
["x"] = 139 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 3 + 10",
["typ"] = "plus" },
["render"] = "(6 - 3 + 10)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (6 - 3 + 10)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot (6 - 3 + 10) - (-9)",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.31, bodu=42, $$\frac{\frac{\frac{11}{-9}}{2\frac{1}{5}}}{5}=\textcolor{white}{-\frac{1}{9}}$$return {
["body"] = 42,
["id"] = "ysRJF2_0216_1912",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -0.11111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 9 },
["render"] = "\\frac{-5}{45}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{9}",
["y"] = -1,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{-9}}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{11}{-9}}{2\\frac{1}{5}}}{5}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.32, bodu=54, $$\frac{\frac{(-7 + 11)^4 + 2\frac{4}{9}}{10}}{3}=\textcolor{white}{8\frac{83}{135}}$$return {
["body"] = 54,
["id"] = "ibmCv4_0216_1912",
["obtiznost"] = 0.6228,
["reseni"] = {
["float"] = 8.6148148148148,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1163,
["jmenovatel"] = 135 },
["render"] = "\\frac{1163}{135}",
["typ"] = "cislo" },
["tex"] = "8\\frac{83}{135}",
["x"] = 8,
["y"] = 83,
["z"] = 135 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-7 + 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(-7 + 11)^4 + 2\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(-7 + 11)^4 + 2\\frac{4}{9}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(-7 + 11)^4 + 2\\frac{4}{9}}{10}}{3}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.33, bodu=19, $$((7 - 4)^4 + (-9)) \cdot (-4 - 12)^2=\textcolor{white}{18432}$$return {
["body"] = 19,
["id"] = "EiwoPM_0216_1912",
["obtiznost"] = 0.4656,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18432,
["jmenovatel"] = 1 },
["render"] = "\\frac{18432}{1}",
["typ"] = "cislo" },
["tex"] = "18432",
["tex_float"] = "18432",
["x"] = 18432 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 4)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(7 - 4)^4 + (-9)",
["typ"] = "plus" },
["render"] = "((7 - 4)^4 + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-4 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-4 - 12)^2",
["typ"] = "mocnina" },
["render"] = "((7 - 4)^4 + (-9)) \\cdot (-4 - 12)^2",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.34, bodu=60, $$6 - (6 + 4\frac{1}{5} - (11 + 4 + (-12))^2)^3=\textcolor{white}{4{,}272}$$return {
["body"] = 60,
["id"] = "gWNEZ3_0216_1912",
["obtiznost"] = 0.6804,
["reseni"] = {
["float"] = 4.272,
["objekt"] = {
["hodnota"] = {
["citatel"] = 534,
["jmenovatel"] = 125 },
["render"] = "\\frac{534}{125}",
["typ"] = "cislo" },
["tex"] = "4\\frac{34}{125}",
["tex_float"] = "4{,}272",
["x"] = 4,
["y"] = 34,
["z"] = 125 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "6 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 + 4 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 4 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "6 + 4\\frac{1}{5} - (11 + 4 + (-12))^2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 + 4\\frac{1}{5} - (11 + 4 + (-12))^2)^3",
["typ"] = "mocnina" },
["render"] = "6 - (6 + 4\\frac{1}{5} - (11 + 4 + (-12))^2)^3",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.35, bodu=46, $$\frac{9}{3\frac{4}{5} - 8 \cdot -8}=\textcolor{white}{\frac{15}{113}}$$return {
["body"] = 46,
["id"] = "I4NC3m_0216_1912",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.13274336283186,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 113 },
["render"] = "\\frac{45}{339}",
["typ"] = "cislo" },
["tex"] = "\\frac{15}{113}",
["y"] = 15,
["z"] = 113 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 \\cdot -8",
["typ"] = "krat" },
["render"] = "3\\frac{4}{5} - 8 \\cdot -8",
["typ"] = "minus" },
["render"] = "\\frac{9}{3\\frac{4}{5} - 8 \\cdot -8}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.36, bodu=69, $$13 \cdot -14 \cdot 1\frac{3}{7} - 2\frac{5}{7}=\textcolor{white}{-262\frac{5}{7}}$$return {
["body"] = 69,
["id"] = "AxXnJj_0216_1912",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -262.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1839,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1839}{7}",
["typ"] = "cislo" },
["tex"] = "-262\\frac{5}{7}",
["x"] = -262,
["y"] = 5,
["z"] = 7 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "13 \\cdot -14 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot -14 \\cdot 1\\frac{3}{7} - 2\\frac{5}{7}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.37, bodu=48, $$1\frac{4}{9} \cdot 11 \cdot \frac{11}{13}=\textcolor{white}{13\frac{4}{9}}$$return {
["body"] = 48,
["id"] = "JXTsub_0216_1912",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 13.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 9 },
["render"] = "\\frac{1573}{117}",
["typ"] = "cislo" },
["tex"] = "13\\frac{4}{9}",
["x"] = 13,
["y"] = 4,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{11}{13}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{11}{13}",
["typ"] = "krat" },
["render"] = "1\\frac{4}{9} \\cdot 11 \\cdot \\frac{11}{13}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.38, bodu=49, $$\frac{-12 \cdot 3}{-2 - 2\frac{4}{7}}=\textcolor{white}{7{,}875}$$return {
["body"] = 49,
["id"] = "Y35Pm3_0216_1912",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 7.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 8 },
["render"] = "\\frac{-252}{-32}",
["typ"] = "cislo" },
["tex"] = "7\\frac{7}{8}",
["tex_float"] = "7{,}875",
["x"] = 7,
["y"] = 7,
["z"] = 8 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-2 - 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-12 \\cdot 3}{-2 - 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.39, bodu=16, $$7 - (12 + (9 - 11)^3 \cdot -6)=\textcolor{white}{-53}$$return {
["body"] = 16,
["id"] = "gjnoDh_0216_1912",
["obtiznost"] = 0.3936,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 1 },
["render"] = "\\frac{-53}{1}",
["typ"] = "cislo" },
["tex"] = "-53",
["tex_float"] = "-53",
["x"] = -53 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(9 - 11)^3 \\cdot -6",
["typ"] = "krat" },
["render"] = "12 + (9 - 11)^3 \\cdot -6",
["typ"] = "plus" },
["render"] = "(12 + (9 - 11)^3 \\cdot -6)",
["typ"] = "zavorka" },
["render"] = "7 - (12 + (9 - 11)^3 \\cdot -6)",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.4, bodu=51, $$\frac{-9}{15} \cdot 12 \cdot 4\frac{4}{10}=\textcolor{white}{-31{,}68}$$return {
["body"] = 51,
["id"] = "AVLy8D_0216_1912",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -31.68,
["objekt"] = {
["hodnota"] = {
["citatel"] = -792,
["jmenovatel"] = 25 },
["render"] = "\\frac{-792}{25}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{17}{25}",
["tex_float"] = "-31{,}68",
["x"] = -31,
["y"] = 17,
["z"] = 25 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15} \\cdot 12 \\cdot 4\\frac{4}{10}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.41, bodu=75, $$\frac{11}{\frac{-10}{4\frac{2}{7} - 9}} - 2\frac{3}{8}=\textcolor{white}{2\frac{227}{280}}$$return {
["body"] = 75,
["id"] = "vorrpb_0216_1912",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 2.8107142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 787,
["jmenovatel"] = 280 },
["render"] = "\\frac{1574}{560}",
["typ"] = "cislo" },
["tex"] = "2\\frac{227}{280}",
["x"] = 2,
["y"] = 227,
["z"] = 280 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} - 9",
["typ"] = "minus" },
["render"] = "\\frac{-10}{4\\frac{2}{7} - 9}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{-10}{4\\frac{2}{7} - 9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{\\frac{-10}{4\\frac{2}{7} - 9}} - 2\\frac{3}{8}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.42, bodu=76, $$11 \cdot \frac{3 \cdot 1\frac{1}{3}}{1\frac{5}{9}}=\textcolor{white}{28\frac{2}{7}}$$return {
["body"] = 76,
["id"] = "YkflhT_0216_1912",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 28.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 198,
["jmenovatel"] = 7 },
["render"] = "\\frac{198}{7}",
["typ"] = "cislo" },
["tex"] = "28\\frac{2}{7}",
["x"] = 28,
["y"] = 2,
["z"] = 7 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3 \\cdot 1\\frac{1}{3}}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{3 \\cdot 1\\frac{1}{3}}{1\\frac{5}{9}}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.43, bodu=55, $$\frac{-13}{\frac{9 \cdot 3\frac{2}{6}}{-8} + 9}=\textcolor{white}{-2\frac{10}{21}}$$return {
["body"] = 55,
["id"] = "xhJOyN_0216_1912",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -2.4761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 21 },
["render"] = "\\frac{-52}{21}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{10}{21}",
["x"] = -2,
["y"] = 10,
["z"] = 21 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 3\\frac{2}{6}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 3\\frac{2}{6}}{-8} + 9",
["typ"] = "plus" },
["render"] = "\\frac{-13}{\\frac{9 \\cdot 3\\frac{2}{6}}{-8} + 9}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.44, bodu=79, $$(-8 - 2\frac{1}{5} + 4) \cdot (-12 - 3\frac{4}{7})=\textcolor{white}{96\frac{19}{35}}$$return {
["body"] = 79,
["id"] = "dg7BST_0216_1912",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 96.542857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3379,
["jmenovatel"] = 35 },
["render"] = "\\frac{3379}{35}",
["typ"] = "cislo" },
["tex"] = "96\\frac{19}{35}",
["x"] = 96,
["y"] = 19,
["z"] = 35 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{1}{5} + 4",
["typ"] = "plus" },
["render"] = "(-8 - 2\\frac{1}{5} + 4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-12 - 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "(-8 - 2\\frac{1}{5} + 4) \\cdot (-12 - 3\\frac{4}{7})",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.45, bodu=37, $$-11 \cdot -7 - (\frac{-14}{9} - 7)=\textcolor{white}{85\frac{5}{9}}$$return {
["body"] = 37,
["id"] = "Yylc5V_0216_1912",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 85.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 770,
["jmenovatel"] = 9 },
["render"] = "\\frac{770}{9}",
["typ"] = "cislo" },
["tex"] = "85\\frac{5}{9}",
["x"] = 85,
["y"] = 5,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{9} - 7",
["typ"] = "minus" },
["render"] = "(\\frac{-14}{9} - 7)",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot -7 - (\\frac{-14}{9} - 7)",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.46, bodu=38, $$\frac{4}{\frac{-13}{\frac{-8}{10}}}=\textcolor{white}{\frac{16}{65}}$$return {
["body"] = 38,
["id"] = "lGzGPZ_0216_1912",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 0.24615384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 65 },
["render"] = "\\frac{16}{65}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{65}",
["y"] = 16,
["z"] = 65 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -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{-13}{\\frac{-8}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{-13}{\\frac{-8}{10}}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.47, bodu=76, $$(8 - (-11))^2 + 15 + (2\frac{1}{2} - (7 - 5))^2=\textcolor{white}{376{,}25}$$return {
["body"] = 76,
["id"] = "C1jj8L_0216_1912",
["obtiznost"] = 0.8168,
["reseni"] = {
["float"] = 376.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1505,
["jmenovatel"] = 4 },
["render"] = "\\frac{1505}{4}",
["typ"] = "cislo" },
["tex"] = "376\\frac{1}{4}",
["tex_float"] = "376{,}25",
["x"] = 376,
["y"] = 1,
["z"] = 4 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(8 - (-11))^2 + 15",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["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"] = "minus" },
["render"] = "(7 - 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{2} - (7 - 5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{1}{2} - (7 - 5))^2",
["typ"] = "mocnina" },
["render"] = "(8 - (-11))^2 + 15 + (2\\frac{1}{2} - (7 - 5))^2",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.48, bodu=60, $$\frac{\frac{\frac{10}{17}}{8 + 12}}{2\frac{1}{5}}=\textcolor{white}{\frac{5}{374}}$$return {
["body"] = 60,
["id"] = "xCymvd_0216_1912",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 0.013368983957219,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 374 },
["render"] = "\\frac{5}{374}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{374}",
["y"] = 5,
["z"] = 374 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{10}{17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 + 12",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{17}}{8 + 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{10}{17}}{8 + 12}}{2\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.49, bodu=40, $$\frac{-9 \cdot -8}{9} \cdot 7=\textcolor{white}{56}$$return {
["body"] = 40,
["id"] = "MFEgKv_0216_1912",
["obtiznost"] = 0.49,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 1 },
["render"] = "\\frac{56}{1}",
["typ"] = "cislo" },
["tex"] = "56",
["tex_float"] = "56",
["x"] = 56 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot -8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot -8}{9} \\cdot 7",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.5, bodu=91, $$(\frac{(\frac{4\frac{4}{8}}{4\frac{5}{10}})^3}{9})^2 \cdot 8=\textcolor{white}{\frac{8}{81}}$$return {
["body"] = 91,
["id"] = "i2qDZJ_0216_1912",
["obtiznost"] = 0.9336,
["reseni"] = {
["float"] = 0.098765432098765,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 81 },
["render"] = "\\frac{8}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{81}",
["y"] = 8,
["z"] = 81 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.5",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4\\frac{4}{8}}{4\\frac{5}{10}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4\\frac{4}{8}}{4\\frac{5}{10}})^3}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(\\frac{4\\frac{4}{8}}{4\\frac{5}{10}})^3}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{4\\frac{4}{8}}{4\\frac{5}{10}})^3}{9})^2 \\cdot 8",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.51, bodu=63, $$-8 + (-12) + 8 - 14 - (8 - 2\frac{2}{5})=\textcolor{white}{-31{,}6}$$return {
["body"] = 63,
["id"] = "lTMONE_0216_1912",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -31.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -158,
["jmenovatel"] = 5 },
["render"] = "\\frac{-158}{5}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{3}{5}",
["tex_float"] = "-31{,}6",
["x"] = -31,
["y"] = 3,
["z"] = 5 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-8 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 + (-12) + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 + (-12) + 8 - 14",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(8 - 2\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "-8 + (-12) + 8 - 14 - (8 - 2\\frac{2}{5})",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.52, bodu=49, $$\frac{-18 \cdot -6}{(\frac{7}{10})^2}=\textcolor{white}{220\frac{20}{49}}$$return {
["body"] = 49,
["id"] = "5L1l4q_0216_1912",
["obtiznost"] = 0.5796,
["reseni"] = {
["float"] = 220.40816326531,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10800,
["jmenovatel"] = 49 },
["render"] = "\\frac{10800}{49}",
["typ"] = "cislo" },
["tex"] = "220\\frac{20}{49}",
["x"] = 220,
["y"] = 20,
["z"] = 49 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-18 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-18 \\cdot -6}{(\\frac{7}{10})^2}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.53, bodu=118, $$2\frac{1}{7} \cdot (2\frac{5}{8} - (5 + 12) \cdot (15 + 3\frac{1}{6}))=\textcolor{white}{-656\frac{9}{56}}$$return {
["body"] = 118,
["id"] = "XryMwK_0216_1912",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -656.16071428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36745,
["jmenovatel"] = 56 },
["render"] = "\\frac{-110235}{168}",
["typ"] = "cislo" },
["tex"] = "-656\\frac{9}{56}",
["x"] = -656,
["y"] = 9,
["z"] = 56 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 + 12",
["typ"] = "plus" },
["render"] = "(5 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "15 + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(15 + 3\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "(5 + 12) \\cdot (15 + 3\\frac{1}{6})",
["typ"] = "krat" },
["render"] = "2\\frac{5}{8} - (5 + 12) \\cdot (15 + 3\\frac{1}{6})",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - (5 + 12) \\cdot (15 + 3\\frac{1}{6}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} \\cdot (2\\frac{5}{8} - (5 + 12) \\cdot (15 + 3\\frac{1}{6}))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.54, bodu=67, $$\frac{-14}{4\frac{4}{12} + \frac{19}{14 \cdot 11}}=\textcolor{white}{-3\frac{291}{2059}}$$return {
["body"] = 67,
["id"] = "Cp1EJg_0216_1912",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -3.1413307430792,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6468,
["jmenovatel"] = 2059 },
["render"] = "\\frac{-6468}{2059}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{291}{2059}",
["x"] = -3,
["y"] = 291,
["z"] = 2059 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{19}{14 \\cdot 11}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{12} + \\frac{19}{14 \\cdot 11}",
["typ"] = "plus" },
["render"] = "\\frac{-14}{4\\frac{4}{12} + \\frac{19}{14 \\cdot 11}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.55, bodu=71, $$1\frac{1}{8} \cdot (\frac{-9}{7 \cdot (9 - 6)})^2=\textcolor{white}{\frac{81}{392}}$$return {
["body"] = 71,
["id"] = "szb7r1_0216_1912",
["obtiznost"] = 0.7732,
["reseni"] = {
["float"] = 0.20663265306122,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 392 },
["render"] = "\\frac{81}{392}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{392}",
["y"] = 81,
["z"] = 392 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["render"] = "(9 - 6)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (9 - 6)",
["typ"] = "krat" },
["render"] = "\\frac{-9}{7 \\cdot (9 - 6)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{7 \\cdot (9 - 6)})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{8} \\cdot (\\frac{-9}{7 \\cdot (9 - 6)})^2",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.56, bodu=101, $$(2\frac{1}{7} - (11 - (7 - 2)^3) + 1\frac{5}{11}) \cdot -17=\textcolor{white}{-1999\frac{12}{77}}$$return {
["body"] = 101,
["id"] = "i29ooD_0216_1912",
["obtiznost"] = 1.0104,
["reseni"] = {
["float"] = -1999.1558441558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153935,
["jmenovatel"] = 77 },
["render"] = "\\frac{-153935}{77}",
["typ"] = "cislo" },
["tex"] = "-1999\\frac{12}{77}",
["x"] = -1999,
["y"] = 12,
["z"] = 77 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 - 2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 2)^3",
["typ"] = "mocnina" },
["render"] = "11 - (7 - 2)^3",
["typ"] = "minus" },
["render"] = "(11 - (7 - 2)^3)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} - (11 - (7 - 2)^3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - (11 - (7 - 2)^3) + 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{7} - (11 - (7 - 2)^3) + 1\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{7} - (11 - (7 - 2)^3) + 1\\frac{5}{11}) \\cdot -17",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.57, bodu=180, $$2\frac{2}{4} - 4\frac{2}{8} + (14 - (-16))^2 - 4\frac{4}{12} + (-13)=\textcolor{white}{880\frac{11}{12}}$$return {
["body"] = 180,
["id"] = "S3xcI5_0216_1912",
["obtiznost"] = 1.5304,
["reseni"] = {
["float"] = 880.91666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10571,
["jmenovatel"] = 12 },
["render"] = "\\frac{10571}{12}",
["typ"] = "cislo" },
["tex"] = "880\\frac{11}{12}",
["x"] = 880,
["y"] = 11,
["z"] = 12 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - 4\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "14 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(14 - (-16))^2 - 4\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(14 - (-16))^2 - 4\\frac{4}{12} + (-13)",
["typ"] = "plus" },
["render"] = "2\\frac{2}{4} - 4\\frac{2}{8} + (14 - (-16))^2 - 4\\frac{4}{12} + (-13)",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.58, bodu=97, $$\frac{-14 \cdot \frac{3\frac{1}{6}}{3\frac{3}{9}}}{10}=\textcolor{white}{-1{,}33}$$return {
["body"] = 97,
["id"] = "aX3Bjb_0216_1912",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -1.33,
["objekt"] = {
["hodnota"] = {
["citatel"] = -133,
["jmenovatel"] = 100 },
["render"] = "\\frac{-133}{100}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{33}{100}",
["tex_float"] = "-1{,}33",
["x"] = -1,
["y"] = 33,
["z"] = 100 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{3\\frac{1}{6}}{3\\frac{3}{9}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot \\frac{3\\frac{1}{6}}{3\\frac{3}{9}}}{10}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.59, bodu=73, $$3\frac{5}{8} + (17 + \frac{-10}{11}) \cdot 7=\textcolor{white}{116\frac{23}{88}}$$return {
["body"] = 73,
["id"] = "0whZST_0216_1912",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 116.26136363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10231,
["jmenovatel"] = 88 },
["render"] = "\\frac{10231}{88}",
["typ"] = "cislo" },
["tex"] = "116\\frac{23}{88}",
["x"] = 116,
["y"] = 23,
["z"] = 88 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11}",
["typ"] = "lomeno" },
["render"] = "17 + \\frac{-10}{11}",
["typ"] = "plus" },
["render"] = "(17 + \\frac{-10}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(17 + \\frac{-10}{11}) \\cdot 7",
["typ"] = "krat" },
["render"] = "3\\frac{5}{8} + (17 + \\frac{-10}{11}) \\cdot 7",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.6, bodu=69, $$\frac{(-9 - 11)^2 \cdot 5 \cdot 4}{2}=\textcolor{white}{4000}$$return {
["body"] = 69,
["id"] = "uGi9RJ_0216_1912",
["obtiznost"] = 0.7604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4000,
["jmenovatel"] = 1 },
["render"] = "\\frac{8000}{2}",
["typ"] = "cislo" },
["tex"] = "4000",
["tex_float"] = "4000",
["x"] = 4000 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["render"] = "(-9 - 11)^2 \\cdot 5 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{(-9 - 11)^2 \\cdot 5 \\cdot 4}{2}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.61, bodu=75, $$-9 \cdot (12 + 10) \cdot (4\frac{4}{9} + (-11 \cdot -14))=\textcolor{white}{-31372}$$return {
["body"] = 75,
["id"] = "Ut2G64_0216_1912",
["obtiznost"] = 0.81,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -31372,
["jmenovatel"] = 1 },
["render"] = "\\frac{-282348}{9}",
["typ"] = "cislo" },
["tex"] = "-31372",
["tex_float"] = "-31372",
["x"] = -31372 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 + 10",
["typ"] = "plus" },
["render"] = "(12 + 10)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (12 + 10)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -14",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} + (-11 \\cdot -14)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + (-11 \\cdot -14))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (12 + 10) \\cdot (4\\frac{4}{9} + (-11 \\cdot -14))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.62, bodu=102, $$3\frac{3}{9} \cdot 16 \cdot (11 - \frac{2\frac{1}{7}}{-7})=\textcolor{white}{602\frac{146}{147}}$$return {
["body"] = 102,
["id"] = "WJAhTw_0216_1912",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 602.99319727891,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88640,
["jmenovatel"] = 147 },
["render"] = "\\frac{88640}{147}",
["typ"] = "cislo" },
["tex"] = "602\\frac{146}{147}",
["x"] = 602,
["y"] = 146,
["z"] = 147 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-7}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{2\\frac{1}{7}}{-7}",
["typ"] = "minus" },
["render"] = "(11 - \\frac{2\\frac{1}{7}}{-7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{9} \\cdot 16 \\cdot (11 - \\frac{2\\frac{1}{7}}{-7})",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.63, bodu=27, $$7 - 13 + (-12 + (-16 \cdot -15 - (-18)))=\textcolor{white}{240}$$return {
["body"] = 27,
["id"] = "4d9TsA_0216_1912",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 240,
["jmenovatel"] = 1 },
["render"] = "\\frac{240}{1}",
["typ"] = "cislo" },
["tex"] = "240",
["tex_float"] = "240",
["x"] = 240 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.63",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -15 - (-18)",
["typ"] = "minus" },
["render"] = "-12 + (-16 \\cdot -15 - (-18))",
["typ"] = "plus" },
["render"] = "7 - 13 + (-12 + (-16 \\cdot -15 - (-18)))",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.64, bodu=79, $$\frac{\frac{\frac{-7}{-6}}{-9}}{\frac{4\frac{3}{8}}{5}}=\textcolor{white}{-\frac{4}{27}}$$return {
["body"] = 79,
["id"] = "ggrnnf_0216_1912",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 27 },
["render"] = "\\frac{-56}{378}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{27}",
["y"] = -4,
["z"] = 27 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{-6}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{\\frac{-7}{-6}}{-9}}{\\frac{4\\frac{3}{8}}{5}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.65, bodu=107, $$\frac{\frac{(7 - 5)^2}{4\frac{3}{8}}}{\frac{9}{12 + 4\frac{1}{5}}}=\textcolor{white}{1\frac{113}{175}}$$return {
["body"] = 107,
["id"] = "vsVeqc_0216_1912",
["obtiznost"] = 1.052,
["reseni"] = {
["float"] = 1.6457142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 288,
["jmenovatel"] = 175 },
["render"] = "\\frac{288}{175}",
["typ"] = "cislo" },
["tex"] = "1\\frac{113}{175}",
["x"] = 1,
["y"] = 113,
["z"] = 175 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(7 - 5)^2}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{9}{12 + 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{(7 - 5)^2}{4\\frac{3}{8}}}{\\frac{9}{12 + 4\\frac{1}{5}}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.66, bodu=91, $$3\frac{5}{13} - (-6 + (-10)) - (\frac{12}{-5 \cdot -3})^3=\textcolor{white}{18\frac{1418}{1625}}$$return {
["body"] = 91,
["id"] = "Iq1Hsi_0216_1912",
["obtiznost"] = 0.9356,
["reseni"] = {
["float"] = 18.872615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30668,
["jmenovatel"] = 1625 },
["render"] = "\\frac{30668}{1625}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1418}{1625}",
["x"] = 18,
["y"] = 1418,
["z"] = 1625 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 + (-10)",
["typ"] = "plus" },
["render"] = "(-6 + (-10))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{13} - (-6 + (-10))",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{12}{-5 \\cdot -3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-5 \\cdot -3})^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{5}{13} - (-6 + (-10)) - (\\frac{12}{-5 \\cdot -3})^3",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.67, bodu=206, $$(4\frac{2}{4} - (-20 + 4\frac{1}{6})) \cdot ((4\frac{3}{9} + (-12))^2 + 4\frac{3}{7}) + (-19)=\textcolor{white}{1266\frac{37}{189}}$$return {
["body"] = 206,
["id"] = "qk5kXs_0216_1912",
["obtiznost"] = 1.6852,
["reseni"] = {
["float"] = 1266.1957671958,
["objekt"] = {
["hodnota"] = {
["citatel"] = 239311,
["jmenovatel"] = 189 },
["render"] = "\\frac{239311}{189}",
["typ"] = "cislo" },
["tex"] = "1266\\frac{37}{189}",
["x"] = 1266,
["y"] = 37,
["z"] = 189 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-20 + 4\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(-20 + 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{4} - (-20 + 4\\frac{1}{6})",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{4} - (-20 + 4\\frac{1}{6}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{9} + (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{9} + (-12))^2 + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "((4\\frac{3}{9} + (-12))^2 + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{4} - (-20 + 4\\frac{1}{6})) \\cdot ((4\\frac{3}{9} + (-12))^2 + 4\\frac{3}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{4} - (-20 + 4\\frac{1}{6})) \\cdot ((4\\frac{3}{9} + (-12))^2 + 4\\frac{3}{7}) + (-19)",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.68, bodu=111, $$8 - (10 - (12 - 3\frac{5}{11})) - 14 - 1\frac{1}{3}=\textcolor{white}{-8\frac{26}{33}}$$return {
["body"] = 111,
["id"] = "vDDdfT_0216_1912",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -8.7878787878788,
["objekt"] = {
["hodnota"] = {
["citatel"] = -290,
["jmenovatel"] = 33 },
["render"] = "\\frac{-290}{33}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{26}{33}",
["x"] = -8,
["y"] = 26,
["z"] = 33 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "10 - (12 - 3\\frac{5}{11})",
["typ"] = "minus" },
["render"] = "(10 - (12 - 3\\frac{5}{11}))",
["typ"] = "zavorka" },
["render"] = "8 - (10 - (12 - 3\\frac{5}{11}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - (10 - (12 - 3\\frac{5}{11})) - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "8 - (10 - (12 - 3\\frac{5}{11})) - 14 - 1\\frac{1}{3}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.69, bodu=112, $$\frac{15}{13} + (-14 \cdot 1\frac{2}{7}) + 7 - 3\frac{2}{7}=\textcolor{white}{-13\frac{12}{91}}$$return {
["body"] = 112,
["id"] = "oMIP27_0216_1912",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -13.131868131868,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1195,
["jmenovatel"] = 91 },
["render"] = "\\frac{-1195}{91}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{12}{91}",
["x"] = -13,
["y"] = 12,
["z"] = 91 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{15}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{15}{13} + (-14 \\cdot 1\\frac{2}{7})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{15}{13} + (-14 \\cdot 1\\frac{2}{7}) + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{13} + (-14 \\cdot 1\\frac{2}{7}) + 7 - 3\\frac{2}{7}",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.7, bodu=136, $$(\frac{(\frac{-12}{-15})^4}{-8} - (-3)) \cdot 3\frac{3}{12}=\textcolor{white}{9\frac{1459}{2500}}$$return {
["body"] = 136,
["id"] = "T7osmS_0216_1912",
["obtiznost"] = 1.2524,
["reseni"] = {
["float"] = 9.5836,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23959,
["jmenovatel"] = 2500 },
["render"] = "\\frac{23959}{2500}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1459}{2500}",
["x"] = 9,
["y"] = 1459,
["z"] = 2500 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-12}{-15})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-12}{-15})^4}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-12}{-15})^4}{-8} - (-3)",
["typ"] = "minus" },
["render"] = "(\\frac{(\\frac{-12}{-15})^4}{-8} - (-3))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{-12}{-15})^4}{-8} - (-3)) \\cdot 3\\frac{3}{12}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.71, bodu=63, $$\frac{10}{-9} \cdot (-6 - 8) \cdot 9=\textcolor{white}{140}$$return {
["body"] = 63,
["id"] = "7vZrjk_0216_1912",
["obtiznost"] = 0.71,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 1 },
["render"] = "\\frac{1260}{9}",
["typ"] = "cislo" },
["tex"] = "140",
["x"] = 140 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 - 8",
["typ"] = "minus" },
["render"] = "(-6 - 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{-9} \\cdot (-6 - 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9} \\cdot (-6 - 8) \\cdot 9",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.72, bodu=64, $$-13 \cdot \frac{13}{9} \cdot 9 + (-19)=\textcolor{white}{-188}$$return {
["body"] = 64,
["id"] = "JRP7l6_0216_1912",
["obtiznost"] = 0.72,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -188,
["jmenovatel"] = 1 },
["render"] = "\\frac{-188}{1}",
["typ"] = "cislo" },
["tex"] = "-188",
["tex_float"] = "-188",
["x"] = -188 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{9}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{13}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 \\cdot \\frac{13}{9} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-13 \\cdot \\frac{13}{9} \\cdot 9 + (-19)",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.73, bodu=180, $$(4\frac{4}{9} + 6) \cdot (4\frac{1}{6} - 3\frac{5}{12} + 13) + 9 + 3\frac{1}{5}=\textcolor{white}{155\frac{73}{90}}$$return {
["body"] = 180,
["id"] = "mOwRLb_0216_1912",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 155.81111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14023,
["jmenovatel"] = 90 },
["render"] = "\\frac{14023}{90}",
["typ"] = "cislo" },
["tex"] = "155\\frac{73}{90}",
["x"] = 155,
["y"] = 73,
["z"] = 90 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 6",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 3\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 3\\frac{5}{12} + 13",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} - 3\\frac{5}{12} + 13)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{9} + 6) \\cdot (4\\frac{1}{6} - 3\\frac{5}{12} + 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} + 6) \\cdot (4\\frac{1}{6} - 3\\frac{5}{12} + 13) + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} + 6) \\cdot (4\\frac{1}{6} - 3\\frac{5}{12} + 13) + 9 + 3\\frac{1}{5}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.74, bodu=119, $$-12 - (-15) + 9 - 14 - (2\frac{4}{9} - 1\frac{4}{7})=\textcolor{white}{-2\frac{55}{63}}$$return {
["body"] = 119,
["id"] = "nbFoCY_0216_1912",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -2.8730158730159,
["objekt"] = {
["hodnota"] = {
["citatel"] = -181,
["jmenovatel"] = 63 },
["render"] = "\\frac{-181}{63}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{55}{63}",
["x"] = -2,
["y"] = 55,
["z"] = 63 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-12 - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "9 - 14",
["typ"] = "minus" },
["render"] = "-12 - (-15) + 9 - 14",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 1\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-12 - (-15) + 9 - 14 - (2\\frac{4}{9} - 1\\frac{4}{7})",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.75, bodu=68, $$\frac{11 \cdot \frac{-10}{10 \cdot 19}}{17}=\textcolor{white}{-\frac{11}{323}}$$return {
["body"] = 68,
["id"] = "xAapv7_0216_1912",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -0.03405572755418,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 323 },
["render"] = "\\frac{-11}{323}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{323}",
["y"] = -11,
["z"] = 323 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "10 \\cdot 19",
["typ"] = "krat" },
["render"] = "\\frac{-10}{10 \\cdot 19}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{-10}{10 \\cdot 19}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot \\frac{-10}{10 \\cdot 19}}{17}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.76, bodu=122, $$3\frac{4}{9} \cdot \frac{18}{9 \cdot 3\frac{3}{11} + (11 + (-13))^3}=\textcolor{white}{2\frac{105}{118}}$$return {
["body"] = 122,
["id"] = "e0Y4Fc_0216_1912",
["obtiznost"] = 1.1636,
["reseni"] = {
["float"] = 2.8898305084746,
["objekt"] = {
["hodnota"] = {
["citatel"] = 341,
["jmenovatel"] = 118 },
["render"] = "\\frac{3069}{1062}",
["typ"] = "cislo" },
["tex"] = "2\\frac{105}{118}",
["x"] = 2,
["y"] = 105,
["z"] = 118 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{3}{11}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + (-13))^3",
["typ"] = "mocnina" },
["render"] = "9 \\cdot 3\\frac{3}{11} + (11 + (-13))^3",
["typ"] = "plus" },
["render"] = "\\frac{18}{9 \\cdot 3\\frac{3}{11} + (11 + (-13))^3}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{9} \\cdot \\frac{18}{9 \\cdot 3\\frac{3}{11} + (11 + (-13))^3}",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.77, bodu=123, $$14 - 2\frac{4}{8} + \frac{15}{(2\frac{5}{9} + 15) \cdot -16}=\textcolor{white}{11\frac{1129}{2528}}$$return {
["body"] = 123,
["id"] = "w5aSJk_0216_1912",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 11.446598101266,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28937,
["jmenovatel"] = 2528 },
["render"] = "\\frac{57874}{5056}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1129}{2528}",
["x"] = 11,
["y"] = 1129,
["z"] = 2528 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "14 - 2\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 15",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{9} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{9} + 15) \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{15}{(2\\frac{5}{9} + 15) \\cdot -16}",
["typ"] = "lomeno" },
["render"] = "14 - 2\\frac{4}{8} + \\frac{15}{(2\\frac{5}{9} + 15) \\cdot -16}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.78, bodu=125, $$1\frac{3}{9} \cdot 8 \cdot ((-4 + (-12)) \cdot 1\frac{2}{6} + (-11))=\textcolor{white}{-344\frac{8}{9}}$$return {
["body"] = 125,
["id"] = "2RBjQh_0216_1912",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -344.88888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3104,
["jmenovatel"] = 9 },
["render"] = "\\frac{-3104}{9}",
["typ"] = "cislo" },
["tex"] = "-344\\frac{8}{9}",
["x"] = -344,
["y"] = 8,
["z"] = 9 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-4 + (-12)",
["typ"] = "plus" },
["render"] = "(-4 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(-4 + (-12)) \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-4 + (-12)) \\cdot 1\\frac{2}{6} + (-11)",
["typ"] = "plus" },
["render"] = "((-4 + (-12)) \\cdot 1\\frac{2}{6} + (-11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{9} \\cdot 8 \\cdot ((-4 + (-12)) \\cdot 1\\frac{2}{6} + (-11))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.79, bodu=190, $$\frac{\frac{10 - (1\frac{5}{14} - (4\frac{4}{5} - 3\frac{3}{5}))}{4\frac{3}{9}}}{17}=\textcolor{white}{\frac{159}{1190}}$$return {
["body"] = 190,
["id"] = "C1uUwA_0216_1912",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.13361344537815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 1190 },
["render"] = "\\frac{159}{1190}",
["typ"] = "cislo" },
["tex"] = "\\frac{159}{1190}",
["y"] = 159,
["z"] = 1190 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{5} - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{5} - 3\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{14} - (4\\frac{4}{5} - 3\\frac{3}{5})",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{14} - (4\\frac{4}{5} - 3\\frac{3}{5}))",
["typ"] = "zavorka" },
["render"] = "10 - (1\\frac{5}{14} - (4\\frac{4}{5} - 3\\frac{3}{5}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{10 - (1\\frac{5}{14} - (4\\frac{4}{5} - 3\\frac{3}{5}))}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 - (1\\frac{5}{14} - (4\\frac{4}{5} - 3\\frac{3}{5}))}{4\\frac{3}{9}}}{17}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.8, bodu=100, $$\frac{6 \cdot 11 - (-20 - 4\frac{2}{6})}{\frac{19}{-8}}=\textcolor{white}{-38\frac{2}{57}}$$return {
["body"] = 100,
["id"] = "4yWtiH_0216_1912",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -38.035087719298,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2168,
["jmenovatel"] = 57 },
["render"] = "\\frac{2168}{-57}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{2}{57}",
["x"] = -38,
["y"] = 2,
["z"] = 57 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-20 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-20 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 11 - (-20 - 4\\frac{2}{6})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{19}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{6 \\cdot 11 - (-20 - 4\\frac{2}{6})}{\\frac{19}{-8}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.81, bodu=88, $$16 + \frac{-10 \cdot (-5 - 11)^2}{\frac{15}{9}}=\textcolor{white}{-1520}$$return {
["body"] = 88,
["id"] = "pAk8v6_0216_1912",
["obtiznost"] = 0.9128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1520,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1520}{1}",
["typ"] = "cislo" },
["tex"] = "-1520",
["tex_float"] = "-1520",
["x"] = -1520 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - 11)^2",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (-5 - 11)^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{15}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10 \\cdot (-5 - 11)^2}{\\frac{15}{9}}",
["typ"] = "lomeno" },
["render"] = "16 + \\frac{-10 \\cdot (-5 - 11)^2}{\\frac{15}{9}}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.82, bodu=162, $$(\frac{\frac{2}{4\frac{3}{11}}}{18} - 3\frac{2}{7}) \cdot 3\frac{5}{14} \cdot -8=\textcolor{white}{87\frac{241}{441}}$$return {
["body"] = 162,
["id"] = "Vqechq_0216_1912",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 87.546485260771,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38608,
["jmenovatel"] = 441 },
["render"] = "\\frac{1814576}{20727}",
["typ"] = "cislo" },
["tex"] = "87\\frac{241}{441}",
["x"] = 87,
["y"] = 241,
["z"] = 441 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2}{4\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2}{4\\frac{3}{11}}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2}{4\\frac{3}{11}}}{18} - 3\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{2}{4\\frac{3}{11}}}{18} - 3\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot -8",
["typ"] = "krat" },
["render"] = "(\\frac{\\frac{2}{4\\frac{3}{11}}}{18} - 3\\frac{2}{7}) \\cdot 3\\frac{5}{14} \\cdot -8",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.83, bodu=163, $$10 - (2\frac{5}{7} \cdot 18 - 14 - 2\frac{4}{5} \cdot 4\frac{5}{10})=\textcolor{white}{-12\frac{9}{35}}$$return {
["body"] = 163,
["id"] = "VTA4Mi_0216_1912",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -12.257142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -429,
["jmenovatel"] = 35 },
["render"] = "\\frac{-429}{35}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{9}{35}",
["x"] = -12,
["y"] = 9,
["z"] = 35 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 18 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{5} \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{7} \\cdot 18 - 14 - 2\\frac{4}{5} \\cdot 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{7} \\cdot 18 - 14 - 2\\frac{4}{5} \\cdot 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "10 - (2\\frac{5}{7} \\cdot 18 - 14 - 2\\frac{4}{5} \\cdot 4\\frac{5}{10})",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.84, bodu=165, $$\frac{\frac{\frac{13 \cdot 2\frac{1}{8}}{10 + 1\frac{2}{6}}}{-17}}{1\frac{4}{11}}=\textcolor{white}{-\frac{143}{1360}}$$return {
["body"] = 165,
["id"] = "73QSxF_0216_1912",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.10514705882353,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 1360 },
["render"] = "\\frac{-429}{4080}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{1360}",
["y"] = -143,
["z"] = 1360 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "\\frac{13 \\cdot 2\\frac{1}{8}}{10 + 1\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13 \\cdot 2\\frac{1}{8}}{10 + 1\\frac{2}{6}}}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{13 \\cdot 2\\frac{1}{8}}{10 + 1\\frac{2}{6}}}{-17}}{1\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.85, bodu=235, $$(\frac{3\frac{5}{8} \cdot -4}{\frac{4\frac{1}{5}}{\frac{2\frac{2}{6}}{3\frac{5}{8}}}})^2=\textcolor{white}{4\frac{76}{81}}$$return {
["body"] = 235,
["id"] = "h3T1Qu_0216_1912",
["obtiznost"] = 1.8424,
["reseni"] = {
["float"] = 4.9382716049383,
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 81 },
["render"] = "\\frac{400}{81}",
["typ"] = "cislo" },
["tex"] = "4\\frac{76}{81}",
["x"] = 4,
["y"] = 76,
["z"] = 81 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.85",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{5}}{\\frac{2\\frac{2}{6}}{3\\frac{5}{8}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{8} \\cdot -4}{\\frac{4\\frac{1}{5}}{\\frac{2\\frac{2}{6}}{3\\frac{5}{8}}}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{5}{8} \\cdot -4}{\\frac{4\\frac{1}{5}}{\\frac{2\\frac{2}{6}}{3\\frac{5}{8}}}})^2",
["typ"] = "mocnina" } }
seed: TpqmqoYbHv2eQymy2c1k_0.86, bodu=95, $$(\frac{8}{13 + (-13) + 2})^4 \cdot 8 \cdot (9 - (-12))=\textcolor{white}{43008}$$return {
["body"] = 95,
["id"] = "BENjG5_0216_1912",
["obtiznost"] = 0.9628,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 43008,
["jmenovatel"] = 1 },
["render"] = "\\frac{43008}{1}",
["typ"] = "cislo" },
["tex"] = "43008",
["tex_float"] = "43008",
["x"] = 43008 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.86",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "13 + (-13) + 2",
["typ"] = "plus" },
["render"] = "\\frac{8}{13 + (-13) + 2}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{13 + (-13) + 2})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 - (-12)",
["typ"] = "minus" },
["render"] = "(9 - (-12))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (9 - (-12))",
["typ"] = "krat" },
["render"] = "(\\frac{8}{13 + (-13) + 2})^4 \\cdot 8 \\cdot (9 - (-12))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.87, bodu=146, $$\frac{1\frac{2}{9} + (-10 - (-5))^3}{18 + 10} \cdot (4\frac{3}{8} + 10)=\textcolor{white}{-63\frac{551}{1008}}$$return {
["body"] = 146,
["id"] = "27l7YJ_0216_1912",
["obtiznost"] = 1.3204,
["reseni"] = {
["float"] = -63.546626984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64055,
["jmenovatel"] = 1008 },
["render"] = "\\frac{-64055}{1008}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{551}{1008}",
["x"] = -63,
["y"] = 551,
["z"] = 1008 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-10 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-10 - (-5))^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{9} + (-10 - (-5))^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "18 + 10",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{9} + (-10 - (-5))^3}{18 + 10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{2}{9} + (-10 - (-5))^3}{18 + 10} \\cdot (4\\frac{3}{8} + 10)",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.88, bodu=111, $$4\frac{4}{8} \cdot 12 - (12 + (-10))^3 \cdot -21 \cdot -20=\textcolor{white}{-3306}$$return {
["body"] = 111,
["id"] = "R6YJ0p_0216_1912",
["obtiznost"] = 1.0836,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3306,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3306}{1}",
["typ"] = "cislo" },
["tex"] = "-3306",
["x"] = -3306 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(12 + (-10))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -20",
["typ"] = "krat" },
["render"] = "(12 + (-10))^3 \\cdot -21 \\cdot -20",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} \\cdot 12 - (12 + (-10))^3 \\cdot -21 \\cdot -20",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.89, bodu=207, $$-9 \cdot (4\frac{5}{14} + 1\frac{2}{5} + 13 + 1\frac{4}{7}) - (-2 - 4\frac{3}{10})=\textcolor{white}{-176\frac{23}{35}}$$return {
["body"] = 207,
["id"] = "OvsvB3_0216_1912",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -176.65714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6183,
["jmenovatel"] = 35 },
["render"] = "\\frac{-123660}{700}",
["typ"] = "cislo" },
["tex"] = "-176\\frac{23}{35}",
["x"] = -176,
["y"] = 23,
["z"] = 35 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 13 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{14} + 1\\frac{2}{5} + 13 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{14} + 1\\frac{2}{5} + 13 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (4\\frac{5}{14} + 1\\frac{2}{5} + 13 + 1\\frac{4}{7})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-2 - 4\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-2 - 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (4\\frac{5}{14} + 1\\frac{2}{5} + 13 + 1\\frac{4}{7}) - (-2 - 4\\frac{3}{10})",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.9, bodu=175, $$\frac{\frac{12}{-14}}{4\frac{2}{11} \cdot (1\frac{2}{13} - (-18) - 1\frac{1}{7})}=\textcolor{white}{-\frac{39}{3427}}$$return {
["body"] = 175,
["id"] = "p4ztod_0216_1912",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -0.011380215932302,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39,
["jmenovatel"] = 3427 },
["render"] = "\\frac{-546}{47978}",
["typ"] = "cislo" },
["tex"] = "-\\frac{39}{3427}",
["y"] = -39,
["z"] = 3427 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.9",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 13 },
["render"] = "1\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{13} - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{13} - (-18) - 1\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{13} - (-18) - 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{11} \\cdot (1\\frac{2}{13} - (-18) - 1\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{12}{-14}}{4\\frac{2}{11} \\cdot (1\\frac{2}{13} - (-18) - 1\\frac{1}{7})}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.91, bodu=145, $$(1\frac{1}{8} - 4 - 1\frac{1}{5} - (19 + (-12 + 10)^3)) \cdot -13=\textcolor{white}{195{,}975}$$return {
["body"] = 145,
["id"] = "pEUt9A_0216_1912",
["obtiznost"] = 1.3136,
["reseni"] = {
["float"] = 195.975,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7839,
["jmenovatel"] = 40 },
["render"] = "\\frac{7839}{40}",
["typ"] = "cislo" },
["tex"] = "195\\frac{39}{40}",
["tex_float"] = "195{,}975",
["x"] = 195,
["y"] = 39,
["z"] = 40 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - 4 - 1\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 + 10",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-12 + 10)^3",
["typ"] = "mocnina" },
["render"] = "19 + (-12 + 10)^3",
["typ"] = "plus" },
["render"] = "(19 + (-12 + 10)^3)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} - 4 - 1\\frac{1}{5} - (19 + (-12 + 10)^3)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{8} - 4 - 1\\frac{1}{5} - (19 + (-12 + 10)^3))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{8} - 4 - 1\\frac{1}{5} - (19 + (-12 + 10)^3)) \\cdot -13",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.92, bodu=146, $$13 \cdot 1\frac{3}{12} + 1\frac{3}{7} - \frac{-13}{20 \cdot 9}=\textcolor{white}{17\frac{473}{630}}$$return {
["body"] = 146,
["id"] = "5epu5d_0216_1912",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 17.750793650794,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11183,
["jmenovatel"] = 630 },
["render"] = "\\frac{89464}{5040}",
["typ"] = "cislo" },
["tex"] = "17\\frac{473}{630}",
["x"] = 17,
["y"] = 473,
["z"] = 630 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "20 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{-13}{20 \\cdot 9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{7} - \\frac{-13}{20 \\cdot 9}",
["typ"] = "minus" },
["render"] = "13 \\cdot 1\\frac{3}{12} + 1\\frac{3}{7} - \\frac{-13}{20 \\cdot 9}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.93, bodu=148, $$11 \cdot -15 \cdot (\frac{11}{3\frac{3}{6} - 4\frac{2}{9}} + (-16))=\textcolor{white}{5153\frac{1}{13}}$$return {
["body"] = 148,
["id"] = "lpckeO_0216_1912",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 5153.0769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 66990,
["jmenovatel"] = 13 },
["render"] = "\\frac{66990}{13}",
["typ"] = "cislo" },
["tex"] = "5153\\frac{1}{13}",
["x"] = 5153,
["y"] = 1,
["z"] = 13 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 4\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "\\frac{11}{3\\frac{3}{6} - 4\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{3}{6} - 4\\frac{2}{9}} + (-16)",
["typ"] = "plus" },
["render"] = "(\\frac{11}{3\\frac{3}{6} - 4\\frac{2}{9}} + (-16))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot -15 \\cdot (\\frac{11}{3\\frac{3}{6} - 4\\frac{2}{9}} + (-16))",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.94, bodu=149, $$18 \cdot 2\frac{3}{13} \cdot (1\frac{1}{3} - 12 \cdot (-13 - (-13))^2)=\textcolor{white}{53\frac{7}{13}}$$return {
["body"] = 149,
["id"] = "RjXkpT_0216_1912",
["obtiznost"] = 1.3404,
["reseni"] = {
["float"] = 53.538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 696,
["jmenovatel"] = 13 },
["render"] = "\\frac{2088}{39}",
["typ"] = "cislo" },
["tex"] = "53\\frac{7}{13}",
["x"] = 53,
["y"] = 7,
["z"] = 13 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 2\\frac{3}{13}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-13 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - (-13))^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot (-13 - (-13))^2",
["typ"] = "krat" },
["render"] = "1\\frac{1}{3} - 12 \\cdot (-13 - (-13))^2",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{3} - 12 \\cdot (-13 - (-13))^2)",
["typ"] = "zavorka" },
["render"] = "18 \\cdot 2\\frac{3}{13} \\cdot (1\\frac{1}{3} - 12 \\cdot (-13 - (-13))^2)",
["typ"] = "krat" } }
seed: TpqmqoYbHv2eQymy2c1k_0.95, bodu=183, $$4\frac{1}{6} \cdot (15 - (-13)) + 3\frac{2}{12} \cdot \frac{2\frac{1}{10}}{-17}=\textcolor{white}{116\frac{281}{1020}}$$return {
["body"] = 183,
["id"] = "LJanlW_0216_1912",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 116.27549019608,
["objekt"] = {
["hodnota"] = {
["citatel"] = 118601,
["jmenovatel"] = 1020 },
["render"] = "\\frac{118601}{1020}",
["typ"] = "cislo" },
["tex"] = "116\\frac{281}{1020}",
["x"] = 116,
["y"] = 281,
["z"] = 1020 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 - (-13)",
["typ"] = "minus" },
["render"] = "(15 - (-13))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{6} \\cdot (15 - (-13))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{-17}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{12} \\cdot \\frac{2\\frac{1}{10}}{-17}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{6} \\cdot (15 - (-13)) + 3\\frac{2}{12} \\cdot \\frac{2\\frac{1}{10}}{-17}",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.96, bodu=256, $$3\frac{2}{6} + 9 - (13 + 4\frac{3}{10}) \cdot 2\frac{2}{7} \cdot (1\frac{3}{7} + 4\frac{1}{5})=\textcolor{white}{-210\frac{869}{3675}}$$return {
["body"] = 256,
["id"] = "00NV8l_0216_1912",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = -210.23646258503,
["objekt"] = {
["hodnota"] = {
["citatel"] = -772619,
["jmenovatel"] = 3675 },
["render"] = "\\frac{-772619}{3675}",
["typ"] = "cislo" },
["tex"] = "-210\\frac{869}{3675}",
["x"] = -210,
["y"] = 869,
["z"] = 3675 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{7} \\cdot (1\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "krat" },
["render"] = "(13 + 4\\frac{3}{10}) \\cdot 2\\frac{2}{7} \\cdot (1\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "krat" },
["render"] = "3\\frac{2}{6} + 9 - (13 + 4\\frac{3}{10}) \\cdot 2\\frac{2}{7} \\cdot (1\\frac{3}{7} + 4\\frac{1}{5})",
["typ"] = "minus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.97, bodu=195, $$(17 + (-12))^4 + 14 - \frac{1\frac{2}{6}}{4\frac{1}{7}} + 13 - (-8)=\textcolor{white}{659\frac{59}{87}}$$return {
["body"] = 195,
["id"] = "pwKplr_0216_1912",
["obtiznost"] = 1.6204,
["reseni"] = {
["float"] = 659.67816091954,
["objekt"] = {
["hodnota"] = {
["citatel"] = 57392,
["jmenovatel"] = 87 },
["render"] = "\\frac{57392}{87}",
["typ"] = "cislo" },
["tex"] = "659\\frac{59}{87}",
["x"] = 659,
["y"] = 59,
["z"] = 87 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "17 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(17 + (-12))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{1\\frac{2}{6}}{4\\frac{1}{7}}",
["typ"] = "minus" },
["render"] = "(17 + (-12))^4 + 14 - \\frac{1\\frac{2}{6}}{4\\frac{1}{7}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 - (-8)",
["typ"] = "minus" },
["render"] = "(17 + (-12))^4 + 14 - \\frac{1\\frac{2}{6}}{4\\frac{1}{7}} + 13 - (-8)",
["typ"] = "plus" } }
seed: TpqmqoYbHv2eQymy2c1k_0.98, bodu=188, $$\frac{-11 + \frac{\frac{1\frac{3}{4}}{1\frac{5}{7}}}{-15}}{3\frac{3}{11} \cdot 11}=\textcolor{white}{-\frac{7969}{25920}}$$return {
["body"] = 188,
["id"] = "1maNa4_0216_1912",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -0.30744598765432,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7969,
["jmenovatel"] = 25920 },
["render"] = "\\frac{-7969}{25920}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7969}{25920}",
["y"] = -7969,
["z"] = 25920 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{4}}{1\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{4}}{1\\frac{5}{7}}}{-15}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{\\frac{1\\frac{3}{4}}{1\\frac{5}{7}}}{-15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-11 + \\frac{\\frac{1\\frac{3}{4}}{1\\frac{5}{7}}}{-15}}{3\\frac{3}{11} \\cdot 11}",
["typ"] = "lomeno" } }
seed: TpqmqoYbHv2eQymy2c1k_0.99, bodu=225, $$\frac{\frac{4\frac{5}{7}}{3\frac{5}{15}} - 10 - 3\frac{1}{10}}{19} \cdot 3\frac{4}{13}=\textcolor{white}{-2\frac{297}{8645}}$$return {
["body"] = 225,
["id"] = "9hYk0E_0216_1912",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -2.0343551185656,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17587,
["jmenovatel"] = 8645 },
["render"] = "\\frac{-17587}{8645}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{297}{8645}",
["x"] = -2,
["y"] = 297,
["z"] = 8645 },
["seed"] = "TpqmqoYbHv2eQymy2c1k_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{3\\frac{5}{15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{3\\frac{5}{15}} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{3\\frac{5}{15}} - 10 - 3\\frac{1}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{7}}{3\\frac{5}{15}} - 10 - 3\\frac{1}{10}}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{7}}{3\\frac{5}{15}} - 10 - 3\\frac{1}{10}}{19} \\cdot 3\\frac{4}{13}",
["typ"] = "krat" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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