- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: rx7Hk7a0maPvp38KQVuH_0, bodu=5, $$(-2 + (-4)) \cdot 8 \cdot -8=\textcolor{white}{384}$$return {
["body"] = 5,
["id"] = "4yZBTq_0415_1030",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 384,
["jmenovatel"] = 1 },
["render"] = "\\frac{384}{1}",
["typ"] = "cislo" },
["tex"] = "384",
["x"] = 384 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-2 + (-4)",
["typ"] = "plus" },
["render"] = "(-2 + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-2 + (-4)) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-2 + (-4)) \\cdot 8 \\cdot -8",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.01, bodu=24, $$6 + 7 - (\frac{5}{-3})^4=\textcolor{white}{5\frac{23}{81}}$$return {
["body"] = 24,
["id"] = "EUJJL6_0415_1030",
["obtiznost"] = 0.2924,
["reseni"] = {
["float"] = 5.283950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 428,
["jmenovatel"] = 81 },
["render"] = "\\frac{428}{81}",
["typ"] = "cislo" },
["tex"] = "5\\frac{23}{81}",
["x"] = 5,
["y"] = 23,
["z"] = 81 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.01",
["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"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{-3})^4",
["typ"] = "mocnina" },
["render"] = "6 + 7 - (\\frac{5}{-3})^4",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.02, bodu=10, $$(\frac{(6 + (-6))^4}{10 \cdot 9})^4=\textcolor{white}{0}$$return {
["body"] = 10,
["id"] = "WzaYdx_0415_1030",
["obtiznost"] = 0.0208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(6 + (-6))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{(6 + (-6))^4}{10 \\cdot 9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(6 + (-6))^4}{10 \\cdot 9})^4",
["typ"] = "mocnina" } }
seed: rx7Hk7a0maPvp38KQVuH_0.03, bodu=10, $$\frac{10}{6 + 4 + 3}=\textcolor{white}{\frac{10}{13}}$$return {
["body"] = 10,
["id"] = "TxRn2i_0415_1030",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.76923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 13 },
["render"] = "\\frac{10}{13}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{13}",
["y"] = 10,
["z"] = 13 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4 + 3",
["typ"] = "plus" },
["render"] = "6 + 4 + 3",
["typ"] = "plus" },
["render"] = "\\frac{10}{6 + 4 + 3}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.04, bodu=5, $$-7 \cdot 9 \cdot 6=\textcolor{white}{-378}$$return {
["body"] = 5,
["id"] = "XZNZ2u_0415_1030",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -378,
["jmenovatel"] = 1 },
["render"] = "\\frac{-378}{1}",
["typ"] = "cislo" },
["tex"] = "-378",
["tex_float"] = "-378",
["x"] = -378 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "-7 \\cdot 9 \\cdot 6",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.05, bodu=13, $$\frac{6}{4 - (\frac{8}{-9})^2}=\textcolor{white}{1\frac{113}{130}}$$return {
["body"] = 13,
["id"] = "7jrfws_0415_1030",
["obtiznost"] = 0.108,
["reseni"] = {
["float"] = 1.8692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 130 },
["render"] = "\\frac{486}{260}",
["typ"] = "cislo" },
["tex"] = "1\\frac{113}{130}",
["x"] = 1,
["y"] = 113,
["z"] = 130 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{-9})^2",
["typ"] = "mocnina" },
["render"] = "4 - (\\frac{8}{-9})^2",
["typ"] = "minus" },
["render"] = "\\frac{6}{4 - (\\frac{8}{-9})^2}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.06, bodu=5, $$5 - (6 + (-7 - 5))=\textcolor{white}{11}$$return {
["body"] = 5,
["id"] = "eHnvvM_0415_1030",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{11}{1}",
["typ"] = "cislo" },
["tex"] = "11",
["x"] = 11 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["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"] = "6 + (-7 - 5)",
["typ"] = "plus" },
["render"] = "(6 + (-7 - 5))",
["typ"] = "zavorka" },
["render"] = "5 - (6 + (-7 - 5))",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.07, bodu=5, $$(6 - (-9)) \cdot -6 - (-5)=\textcolor{white}{-85}$$return {
["body"] = 5,
["id"] = "92pjWb_0415_1030",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 1 },
["render"] = "\\frac{-85}{1}",
["typ"] = "cislo" },
["tex"] = "-85",
["x"] = -85 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 - (-9)",
["typ"] = "minus" },
["render"] = "(6 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(6 - (-9)) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(6 - (-9)) \\cdot -6 - (-5)",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.08, bodu=12, $$\frac{\frac{7}{7}}{8}=\textcolor{white}{0{,}125}$$return {
["body"] = 12,
["id"] = "6iOdxQ_0415_1030",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{1}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{7}}{8}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.09, bodu=12, $$\frac{-8}{7 + 3 + 9}=\textcolor{white}{-\frac{8}{19}}$$return {
["body"] = 12,
["id"] = "1dbTWJ_0415_1030",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -0.42105263157895,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 19 },
["render"] = "\\frac{-8}{19}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{19}",
["y"] = -8,
["z"] = 19 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 3 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-8}{7 + 3 + 9}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.1, bodu=20, $$(\frac{9}{9 + (-5 \cdot 5)})^2=\textcolor{white}{\frac{81}{256}}$$return {
["body"] = 20,
["id"] = "nDnJ2i_0415_1030",
["obtiznost"] = 0.2348,
["reseni"] = {
["float"] = 0.31640625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 256 },
["render"] = "\\frac{81}{256}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{256}",
["y"] = 81,
["z"] = 256 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.1",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 5",
["typ"] = "krat" },
["render"] = "9 + (-5 \\cdot 5)",
["typ"] = "plus" },
["render"] = "\\frac{9}{9 + (-5 \\cdot 5)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9 + (-5 \\cdot 5)})^2",
["typ"] = "mocnina" } }
seed: rx7Hk7a0maPvp38KQVuH_0.11, bodu=6, $$4 - (4 - 5 - 9)=\textcolor{white}{14}$$return {
["body"] = 6,
["id"] = "cT21Ta_0415_1030",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["x"] = 14 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 5 - 9",
["typ"] = "minus" },
["render"] = "(4 - 5 - 9)",
["typ"] = "zavorka" },
["render"] = "4 - (4 - 5 - 9)",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.12, bodu=6, $$2 \cdot 5 \cdot 11=\textcolor{white}{110}$$return {
["body"] = 6,
["id"] = "UI5fsH_0415_1030",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 1 },
["render"] = "\\frac{110}{1}",
["typ"] = "cislo" },
["tex"] = "110",
["tex_float"] = "110",
["x"] = 110 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2 \\cdot 5 \\cdot 11",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.13, bodu=14, $$3 \cdot \frac{7}{5}=\textcolor{white}{4{,}2}$$return {
["body"] = 14,
["id"] = "vLLPGp_0415_1030",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 4.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "\\frac{21}{5}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{5}",
["tex_float"] = "4{,}2",
["x"] = 4,
["y"] = 1,
["z"] = 5 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{5}",
["typ"] = "lomeno" },
["render"] = "3 \\cdot \\frac{7}{5}",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.14, bodu=7, $$6 \cdot (11 + (-5 + 9 + 11))=\textcolor{white}{156}$$return {
["body"] = 7,
["id"] = "E6VGdy_0415_1030",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 156,
["jmenovatel"] = 1 },
["render"] = "\\frac{156}{1}",
["typ"] = "cislo" },
["tex"] = "156",
["x"] = 156 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["render"] = "-5 + 9 + 11",
["typ"] = "plus" },
["render"] = "11 + (-5 + 9 + 11)",
["typ"] = "plus" },
["render"] = "(11 + (-5 + 9 + 11))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (11 + (-5 + 9 + 11))",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.15, bodu=7, $$-6 + 7 - 8 \cdot -5=\textcolor{white}{41}$$return {
["body"] = 7,
["id"] = "Jq5Tbq_0415_1030",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 1 },
["render"] = "\\frac{41}{1}",
["typ"] = "cislo" },
["tex"] = "41",
["x"] = 41 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.15",
["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"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 \\cdot -5",
["typ"] = "krat" },
["render"] = "-6 + 7 - 8 \\cdot -5",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.16, bodu=26, $$\frac{(-5 \cdot -4)^2}{6}=\textcolor{white}{66\frac{2}{3}}$$return {
["body"] = 26,
["id"] = "Ax1t2k_0415_1030",
["obtiznost"] = 0.3204,
["reseni"] = {
["float"] = 66.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 3 },
["render"] = "\\frac{400}{6}",
["typ"] = "cislo" },
["tex"] = "66\\frac{2}{3}",
["x"] = 66,
["y"] = 2,
["z"] = 3 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.16",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-5 \\cdot -4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(-5 \\cdot -4)^2}{6}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.17, bodu=16, $$\frac{-6 - 8}{5 + (-8)}=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 16,
["id"] = "2AamGP_0415_1030",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{-14}{-3}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{-6 - 8}{5 + (-8)}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.18, bodu=9, $$7 - 8 + (9 - 6)^4=\textcolor{white}{80}$$return {
["body"] = 9,
["id"] = "483tSE_0415_1030",
["obtiznost"] = 0.2128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{1}",
["typ"] = "cislo" },
["tex"] = "80",
["tex_float"] = "80",
["x"] = 80 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(9 - 6)^4",
["typ"] = "mocnina" },
["render"] = "7 - 8 + (9 - 6)^4",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.19, bodu=26, $$\frac{11 + (12 + 6)^2}{3}=\textcolor{white}{111\frac{2}{3}}$$return {
["body"] = 26,
["id"] = "7OP4Un_0415_1030",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 111.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 335,
["jmenovatel"] = 3 },
["render"] = "\\frac{335}{3}",
["typ"] = "cislo" },
["tex"] = "111\\frac{2}{3}",
["x"] = 111,
["y"] = 2,
["z"] = 3 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 6)^2",
["typ"] = "mocnina" },
["render"] = "11 + (12 + 6)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{11 + (12 + 6)^2}{3}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.2, bodu=9, $$2 - (6 + 12 \cdot 12 + (-2))=\textcolor{white}{-146}$$return {
["body"] = 9,
["id"] = "ltI5N2_0415_1030",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 1 },
["render"] = "\\frac{-146}{1}",
["typ"] = "cislo" },
["tex"] = "-146",
["tex_float"] = "-146",
["x"] = -146 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12 + (-2)",
["typ"] = "plus" },
["render"] = "6 + 12 \\cdot 12 + (-2)",
["typ"] = "plus" },
["render"] = "(6 + 12 \\cdot 12 + (-2))",
["typ"] = "zavorka" },
["render"] = "2 - (6 + 12 \\cdot 12 + (-2))",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.21, bodu=38, $$\frac{11}{-11} \cdot (8 - 4\frac{1}{3})^2=\textcolor{white}{-13\frac{4}{9}}$$return {
["body"] = 38,
["id"] = "hvnwnG_0415_1030",
["obtiznost"] = 0.462,
["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"] = "rx7Hk7a0maPvp38KQVuH_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{1}{3}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 4\\frac{1}{3})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{-11} \\cdot (8 - 4\\frac{1}{3})^2",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.22, bodu=35, $$(9 \cdot \frac{8}{(-12 + 9)^2})^3=\textcolor{white}{512}$$return {
["body"] = 35,
["id"] = "wVF4CR_0415_1030",
["obtiznost"] = 0.4292,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 512,
["jmenovatel"] = 1 },
["render"] = "\\frac{512}{1}",
["typ"] = "cislo" },
["tex"] = "512",
["x"] = 512 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.22",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["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"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-12 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(-12 + 9)^2}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{8}{(-12 + 9)^2}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(9 \\cdot \\frac{8}{(-12 + 9)^2})^3",
["typ"] = "mocnina" } }
seed: rx7Hk7a0maPvp38KQVuH_0.23, bodu=35, $$\frac{5}{\frac{9}{1\frac{3}{4} - 5}}=\textcolor{white}{-1\frac{29}{36}}$$return {
["body"] = 35,
["id"] = "XaKvHn_0415_1030",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -1.8055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 36 },
["render"] = "\\frac{65}{-36}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{29}{36}",
["x"] = -1,
["y"] = 29,
["z"] = 36 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{4} - 5",
["typ"] = "minus" },
["render"] = "\\frac{9}{1\\frac{3}{4} - 5}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{9}{1\\frac{3}{4} - 5}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.24, bodu=10, $$8 \cdot 9 \cdot 4 \cdot -3=\textcolor{white}{-864}$$return {
["body"] = 10,
["id"] = "2QEiKG_0415_1030",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -864,
["jmenovatel"] = 1 },
["render"] = "\\frac{-864}{1}",
["typ"] = "cislo" },
["tex"] = "-864",
["x"] = -864 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4 \\cdot -3",
["typ"] = "krat" },
["render"] = "8 \\cdot 9 \\cdot 4 \\cdot -3",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.25, bodu=23, $$\frac{\frac{(\frac{7}{5})^2}{-7}}{6}=\textcolor{white}{-\frac{7}{150}}$$return {
["body"] = 23,
["id"] = "BFj7Ya_0415_1030",
["obtiznost"] = 0.2796,
["reseni"] = {
["float"] = -0.046666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 150 },
["render"] = "\\frac{-7}{150}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{150}",
["y"] = -7,
["z"] = 150 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.25",
["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"] = "\\frac{7}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{5})^2}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{7}{5})^2}{-7}}{6}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.26, bodu=38, $$(5 + 12 \cdot 2\frac{3}{6} + (-9)) \cdot 7=\textcolor{white}{182}$$return {
["body"] = 38,
["id"] = "C73rj5_0415_1030",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 182,
["jmenovatel"] = 1 },
["render"] = "\\frac{182}{1}",
["typ"] = "cislo" },
["tex"] = "182",
["x"] = 182 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{6} + (-9)",
["typ"] = "plus" },
["render"] = "5 + 12 \\cdot 2\\frac{3}{6} + (-9)",
["typ"] = "plus" },
["render"] = "(5 + 12 \\cdot 2\\frac{3}{6} + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(5 + 12 \\cdot 2\\frac{3}{6} + (-9)) \\cdot 7",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.27, bodu=38, $$11 - \frac{8}{1\frac{2}{6}} \cdot 12=\textcolor{white}{-61}$$return {
["body"] = 38,
["id"] = "uEg36z_0415_1030",
["obtiznost"] = 0.47,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 1 },
["render"] = "\\frac{-61}{1}",
["typ"] = "cislo" },
["tex"] = "-61",
["x"] = -61 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{2}{6}} \\cdot 12",
["typ"] = "krat" },
["render"] = "11 - \\frac{8}{1\\frac{2}{6}} \\cdot 12",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.28, bodu=13, $$(-4 + 15)^2 - (9 - 11) - 10=\textcolor{white}{113}$$return {
["body"] = 13,
["id"] = "P1P1op_0415_1030",
["obtiznost"] = 0.3288,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 1 },
["render"] = "\\frac{113}{1}",
["typ"] = "cislo" },
["tex"] = "113",
["x"] = 113 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-4 + 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 + 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["render"] = "(9 - 11)",
["typ"] = "zavorka" },
["render"] = "(-4 + 15)^2 - (9 - 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-4 + 15)^2 - (9 - 11) - 10",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.29, bodu=24, $$\frac{13}{-7 - \frac{8}{14}}=\textcolor{white}{-1\frac{38}{53}}$$return {
["body"] = 24,
["id"] = "3xivS7_0415_1030",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -1.7169811320755,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 53 },
["render"] = "\\frac{91}{-53}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{38}{53}",
["x"] = -1,
["y"] = 38,
["z"] = 53 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["render"] = "-7 - \\frac{8}{14}",
["typ"] = "minus" },
["render"] = "\\frac{13}{-7 - \\frac{8}{14}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.3, bodu=13, $$(12 + (-9) - 7 - (8 - 3))^2=\textcolor{white}{81}$$return {
["body"] = 13,
["id"] = "Wi4iAh_0415_1030",
["obtiznost"] = 0.3328,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["tex_float"] = "81",
["x"] = 81 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.3",
["zadani"] = {
["c"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + (-9) - 7",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 - 3",
["typ"] = "minus" },
["render"] = "(8 - 3)",
["typ"] = "zavorka" },
["render"] = "12 + (-9) - 7 - (8 - 3)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 + (-9) - 7 - (8 - 3))^2",
["typ"] = "mocnina" } }
seed: rx7Hk7a0maPvp38KQVuH_0.31, bodu=42, $$\frac{8}{2\frac{1}{5} - ((-10 + 6 + 3)^2 + (-7))}=\textcolor{white}{\frac{40}{41}}$$return {
["body"] = 42,
["id"] = "ehLOpS_0415_1030",
["obtiznost"] = 0.5108,
["reseni"] = {
["float"] = 0.97560975609756,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 41 },
["render"] = "\\frac{40}{41}",
["typ"] = "cislo" },
["tex"] = "\\frac{40}{41}",
["y"] = 40,
["z"] = 41 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + 3",
["typ"] = "plus" },
["render"] = "-10 + 6 + 3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + 6 + 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-10 + 6 + 3)^2 + (-7)",
["typ"] = "plus" },
["render"] = "((-10 + 6 + 3)^2 + (-7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} - ((-10 + 6 + 3)^2 + (-7))",
["typ"] = "minus" },
["render"] = "\\frac{8}{2\\frac{1}{5} - ((-10 + 6 + 3)^2 + (-7))}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.32, bodu=13, $$12 \cdot -12 \cdot 4 - 4=\textcolor{white}{-580}$$return {
["body"] = 13,
["id"] = "bWSwvK_0415_1030",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -580,
["jmenovatel"] = 1 },
["render"] = "\\frac{-580}{1}",
["typ"] = "cislo" },
["tex"] = "-580",
["x"] = -580 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12 \\cdot 4 - 4",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.33, bodu=27, $$\frac{11}{4 \cdot (6 + (-6)) + 1}=\textcolor{white}{11}$$return {
["body"] = 27,
["id"] = "7P2JSE_0415_1030",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{11}{1}",
["typ"] = "cislo" },
["tex"] = "11",
["tex_float"] = "11",
["x"] = 11 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(6 + (-6))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (6 + (-6))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "1",
["typ"] = "cislo" },
["render"] = "4 \\cdot (6 + (-6)) + 1",
["typ"] = "plus" },
["render"] = "\\frac{11}{4 \\cdot (6 + (-6)) + 1}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.34, bodu=13, $$8 \cdot (10 + (-10 \cdot -12))=\textcolor{white}{1040}$$return {
["body"] = 13,
["id"] = "sZ4EzV_0415_1030",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1040,
["jmenovatel"] = 1 },
["render"] = "\\frac{1040}{1}",
["typ"] = "cislo" },
["tex"] = "1040",
["tex_float"] = "1040",
["x"] = 1040 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -12",
["typ"] = "krat" },
["render"] = "10 + (-10 \\cdot -12)",
["typ"] = "plus" },
["render"] = "(10 + (-10 \\cdot -12))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (10 + (-10 \\cdot -12))",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.35, bodu=68, $$\frac{(7 + 3\frac{1}{6}) \cdot 3\frac{1}{7}}{-5}=\textcolor{white}{-6\frac{41}{105}}$$return {
["body"] = 68,
["id"] = "9TwiAF_0415_1030",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -6.3904761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = -671,
["jmenovatel"] = 105 },
["render"] = "\\frac{671}{-105}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{41}{105}",
["x"] = -6,
["y"] = 41,
["z"] = 105 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "7 + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(7 + 3\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(7 + 3\\frac{1}{6}) \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 3\\frac{1}{6}) \\cdot 3\\frac{1}{7}}{-5}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.36, bodu=54, $$1\frac{1}{5} + (\frac{7}{-11 + (-8) + 8})^2=\textcolor{white}{1\frac{366}{605}}$$return {
["body"] = 54,
["id"] = "ggmBw3_0415_1030",
["obtiznost"] = 0.628,
["reseni"] = {
["float"] = 1.604958677686,
["objekt"] = {
["hodnota"] = {
["citatel"] = 971,
["jmenovatel"] = 605 },
["render"] = "\\frac{971}{605}",
["typ"] = "cislo" },
["tex"] = "1\\frac{366}{605}",
["x"] = 1,
["y"] = 366,
["z"] = 605 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-11 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 + (-8) + 8",
["typ"] = "plus" },
["render"] = "\\frac{7}{-11 + (-8) + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-11 + (-8) + 8})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{5} + (\\frac{7}{-11 + (-8) + 8})^2",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.37, bodu=48, $$-6 \cdot \frac{\frac{1\frac{1}{4}}{-9}}{10}=\textcolor{white}{\frac{1}{12}}$$return {
["body"] = 48,
["id"] = "az4b5Z_0415_1030",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.083333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 12 },
["render"] = "\\frac{6}{72}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{12}",
["y"] = 1,
["z"] = 12 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{1}{4}}{-9}}{10}",
["typ"] = "lomeno" },
["render"] = "-6 \\cdot \\frac{\\frac{1\\frac{1}{4}}{-9}}{10}",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.38, bodu=49, $$3 - \frac{-8}{-10 - 4\frac{3}{8}}=\textcolor{white}{2\frac{51}{115}}$$return {
["body"] = 49,
["id"] = "HIywe1_0415_1030",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 2.4434782608696,
["objekt"] = {
["hodnota"] = {
["citatel"] = 281,
["jmenovatel"] = 115 },
["render"] = "\\frac{281}{115}",
["typ"] = "cislo" },
["tex"] = "2\\frac{51}{115}",
["x"] = 2,
["y"] = 51,
["z"] = 115 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-8}{-10 - 4\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "3 - \\frac{-8}{-10 - 4\\frac{3}{8}}",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.39, bodu=50, $$12 + \frac{14}{4} - (2\frac{1}{6} + 15)=\textcolor{white}{-1\frac{2}{3}}$$return {
["body"] = 50,
["id"] = "GatSaa_0415_1030",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -1.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 3 },
["render"] = "\\frac{-5}{3}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{3}",
["x"] = -1,
["y"] = 2,
["z"] = 3 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 15",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 15)",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{4} - (2\\frac{1}{6} + 15)",
["typ"] = "minus" },
["render"] = "12 + \\frac{14}{4} - (2\\frac{1}{6} + 15)",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.4, bodu=74, $$(7 - (11 + 2\frac{3}{6}) \cdot 3\frac{1}{7}) \cdot 13=\textcolor{white}{-460\frac{4}{7}}$$return {
["body"] = 74,
["id"] = "DHgFfH_0415_1030",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -460.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3224,
["jmenovatel"] = 7 },
["render"] = "\\frac{-3224}{7}",
["typ"] = "cislo" },
["tex"] = "-460\\frac{4}{7}",
["x"] = -460,
["y"] = 4,
["z"] = 7 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.4",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(11 + 2\\frac{3}{6}) \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "7 - (11 + 2\\frac{3}{6}) \\cdot 3\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(7 - (11 + 2\\frac{3}{6}) \\cdot 3\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(7 - (11 + 2\\frac{3}{6}) \\cdot 3\\frac{1}{7}) \\cdot 13",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.41, bodu=52, $$\frac{-14 - 16}{8 + \frac{2\frac{5}{11}}{13}}=\textcolor{white}{-3\frac{777}{1171}}$$return {
["body"] = 52,
["id"] = "hbwiAQ_0415_1030",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -3.663535439795,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4290,
["jmenovatel"] = 1171 },
["render"] = "\\frac{-4290}{1171}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{777}{1171}",
["x"] = -3,
["y"] = 777,
["z"] = 1171 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.41",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{13}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{2\\frac{5}{11}}{13}",
["typ"] = "plus" },
["render"] = "\\frac{-14 - 16}{8 + \\frac{2\\frac{5}{11}}{13}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.42, bodu=34, $$11 - \frac{-11}{11} \cdot (9 + 4)=\textcolor{white}{24}$$return {
["body"] = 34,
["id"] = "c3EXqb_0415_1030",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{1}",
["typ"] = "cislo" },
["tex"] = "24",
["tex_float"] = "24",
["x"] = 24 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 + 4",
["typ"] = "plus" },
["render"] = "(9 + 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{11} \\cdot (9 + 4)",
["typ"] = "krat" },
["render"] = "11 - \\frac{-11}{11} \\cdot (9 + 4)",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.43, bodu=35, $$\frac{13 \cdot 7 \cdot 7}{-9}=\textcolor{white}{-70\frac{7}{9}}$$return {
["body"] = 35,
["id"] = "lRrvFV_0415_1030",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -70.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -637,
["jmenovatel"] = 9 },
["render"] = "\\frac{637}{-9}",
["typ"] = "cislo" },
["tex"] = "-70\\frac{7}{9}",
["x"] = -70,
["y"] = 7,
["z"] = 9 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 \\cdot 7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 7 \\cdot 7}{-9}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.44, bodu=36, $$\frac{6}{-8 - (-14)} + (-8 \cdot 6)=\textcolor{white}{-47}$$return {
["body"] = 36,
["id"] = "rrcPNJ_0415_1030",
["obtiznost"] = 0.44,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 1 },
["render"] = "\\frac{-47}{1}",
["typ"] = "cislo" },
["tex"] = "-47",
["x"] = -47 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 - (-14)",
["typ"] = "minus" },
["render"] = "\\frac{6}{-8 - (-14)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{6}{-8 - (-14)} + (-8 \\cdot 6)",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.45, bodu=81, $$\frac{1\frac{2}{7} + (3 - 3\frac{3}{9})^3}{14 \cdot 12}=\textcolor{white}{\frac{59}{7938}}$$return {
["body"] = 81,
["id"] = "HOhBjB_0415_1030",
["obtiznost"] = 0.8612,
["reseni"] = {
["float"] = 0.0074326026706979,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 7938 },
["render"] = "\\frac{236}{31752}",
["typ"] = "cislo" },
["tex"] = "\\frac{59}{7938}",
["y"] = 59,
["z"] = 7938 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3 - 3\\frac{3}{9}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - 3\\frac{3}{9})^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{7} + (3 - 3\\frac{3}{9})^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{7} + (3 - 3\\frac{3}{9})^3}{14 \\cdot 12}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.46, bodu=108, $$\frac{2\frac{1}{2}}{4 + 3\frac{1}{4} - 14 + 3\frac{3}{7}} + (-4)=\textcolor{white}{-4\frac{70}{93}}$$return {
["body"] = 108,
["id"] = "qMPtya_0415_1030",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -4.752688172043,
["objekt"] = {
["hodnota"] = {
["citatel"] = -442,
["jmenovatel"] = 93 },
["render"] = "\\frac{-442}{93}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{70}{93}",
["x"] = -4,
["y"] = 70,
["z"] = 93 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} - 14 + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "4 + 3\\frac{1}{4} - 14 + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{2}}{4 + 3\\frac{1}{4} - 14 + 3\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{2}}{4 + 3\\frac{1}{4} - 14 + 3\\frac{3}{7}} + (-4)",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.47, bodu=56, $$\frac{-8 - (-9 - 12)^2}{8} \cdot 8=\textcolor{white}{-449}$$return {
["body"] = 56,
["id"] = "jZga3X_0415_1030",
["obtiznost"] = 0.6468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -449,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3592}{8}",
["typ"] = "cislo" },
["tex"] = "-449",
["x"] = -449 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - 12)^2",
["typ"] = "mocnina" },
["render"] = "-8 - (-9 - 12)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - (-9 - 12)^2}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - (-9 - 12)^2}{8} \\cdot 8",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.48, bodu=19, $$7 - 9 \cdot (-11 \cdot -6 - 15)=\textcolor{white}{-452}$$return {
["body"] = 19,
["id"] = "RiigcW_0415_1030",
["obtiznost"] = 0.48,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -452,
["jmenovatel"] = 1 },
["render"] = "\\frac{-452}{1}",
["typ"] = "cislo" },
["tex"] = "-452",
["x"] = -452 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -6 - 15",
["typ"] = "minus" },
["render"] = "(-11 \\cdot -6 - 15)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (-11 \\cdot -6 - 15)",
["typ"] = "krat" },
["render"] = "7 - 9 \\cdot (-11 \\cdot -6 - 15)",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.49, bodu=61, $$\frac{11}{-13} + \frac{3\frac{5}{10}}{-9} - 13=\textcolor{white}{-14\frac{55}{234}}$$return {
["body"] = 61,
["id"] = "U4kSU0_0415_1030",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -14.235042735043,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3331,
["jmenovatel"] = 234 },
["render"] = "\\frac{-3331}{234}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{55}{234}",
["x"] = -14,
["y"] = 55,
["z"] = 234 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.49",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{-9} - 13",
["typ"] = "minus" },
["render"] = "\\frac{11}{-13} + \\frac{3\\frac{5}{10}}{-9} - 13",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.5, bodu=63, $$(15 + (-17))^4 \cdot \frac{\frac{2\frac{2}{7}}{14}}{13}=\textcolor{white}{\frac{128}{637}}$$return {
["body"] = 63,
["id"] = "14TRNi_0415_1030",
["obtiznost"] = 0.7068,
["reseni"] = {
["float"] = 0.20094191522763,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 637 },
["render"] = "\\frac{128}{637}",
["typ"] = "cislo" },
["tex"] = "\\frac{128}{637}",
["y"] = 128,
["z"] = 637 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.5",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(15 + (-17))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{2}{7}}{14}}{13}",
["typ"] = "lomeno" },
["render"] = "(15 + (-17))^4 \\cdot \\frac{\\frac{2\\frac{2}{7}}{14}}{13}",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.51, bodu=63, $$\frac{-14}{1\frac{2}{3} - (11 + 13 + 11)} \cdot 16=\textcolor{white}{6{,}72}$$return {
["body"] = 63,
["id"] = "tzengJ_0415_1030",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 6.72,
["objekt"] = {
["hodnota"] = {
["citatel"] = 168,
["jmenovatel"] = 25 },
["render"] = "\\frac{336}{50}",
["typ"] = "cislo" },
["tex"] = "6\\frac{18}{25}",
["tex_float"] = "6{,}72",
["x"] = 6,
["y"] = 18,
["z"] = 25 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 + 11",
["typ"] = "plus" },
["render"] = "11 + 13 + 11",
["typ"] = "plus" },
["render"] = "(11 + 13 + 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{3} - (11 + 13 + 11)",
["typ"] = "minus" },
["render"] = "\\frac{-14}{1\\frac{2}{3} - (11 + 13 + 11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{2}{3} - (11 + 13 + 11)} \\cdot 16",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.52, bodu=70, $$(-10 - (-15))^3 \cdot (2\frac{4}{9} + \frac{-17}{17})=\textcolor{white}{180\frac{5}{9}}$$return {
["body"] = 70,
["id"] = "S0Fmrg_0415_1030",
["obtiznost"] = 0.7704,
["reseni"] = {
["float"] = 180.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1625,
["jmenovatel"] = 9 },
["render"] = "\\frac{1625}{9}",
["typ"] = "cislo" },
["tex"] = "180\\frac{5}{9}",
["x"] = 180,
["y"] = 5,
["z"] = 9 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-10 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-10 - (-15))^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{17}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{9} + \\frac{-17}{17}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{9} + \\frac{-17}{17})",
["typ"] = "zavorka" },
["render"] = "(-10 - (-15))^3 \\cdot (2\\frac{4}{9} + \\frac{-17}{17})",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.53, bodu=66, $$\frac{(11 - 10) \cdot -8}{4\frac{5}{8} + (-10)}=\textcolor{white}{1\frac{21}{43}}$$return {
["body"] = 66,
["id"] = "zz0keV_0415_1030",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 1.4883720930233,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 43 },
["render"] = "\\frac{-64}{-43}",
["typ"] = "cislo" },
["tex"] = "1\\frac{21}{43}",
["x"] = 1,
["y"] = 21,
["z"] = 43 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 - 10",
["typ"] = "minus" },
["render"] = "(11 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(11 - 10) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{(11 - 10) \\cdot -8}{4\\frac{5}{8} + (-10)}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.54, bodu=92, $$2\frac{3}{6} - (-9 - \frac{\frac{1\frac{4}{9}}{-13}}{10})=\textcolor{white}{11\frac{22}{45}}$$return {
["body"] = 92,
["id"] = "MJLDnp_0415_1030",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 11.488888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 517,
["jmenovatel"] = 45 },
["render"] = "\\frac{2068}{180}",
["typ"] = "cislo" },
["tex"] = "11\\frac{22}{45}",
["x"] = 11,
["y"] = 22,
["z"] = 45 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{9}}{-13}}{10}",
["typ"] = "lomeno" },
["render"] = "-9 - \\frac{\\frac{1\\frac{4}{9}}{-13}}{10}",
["typ"] = "minus" },
["render"] = "(-9 - \\frac{\\frac{1\\frac{4}{9}}{-13}}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} - (-9 - \\frac{\\frac{1\\frac{4}{9}}{-13}}{10})",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.55, bodu=23, $$10 \cdot 9 \cdot -8 \cdot 17=\textcolor{white}{-12240}$$return {
["body"] = 23,
["id"] = "QhgM8k_0415_1030",
["obtiznost"] = 0.55,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12240,
["jmenovatel"] = 1 },
["render"] = "\\frac{-12240}{1}",
["typ"] = "cislo" },
["tex"] = "-12240",
["tex_float"] = "-12240",
["x"] = -12240 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 17",
["typ"] = "krat" },
["render"] = "9 \\cdot -8 \\cdot 17",
["typ"] = "krat" },
["render"] = "10 \\cdot 9 \\cdot -8 \\cdot 17",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.56, bodu=94, $$\frac{\frac{3\frac{1}{6} - (-8)}{-7}}{4\frac{3}{7}} + 12=\textcolor{white}{11\frac{119}{186}}$$return {
["body"] = 94,
["id"] = "Whz8wf_0415_1030",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 11.639784946237,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2165,
["jmenovatel"] = 186 },
["render"] = "\\frac{2165}{186}",
["typ"] = "cislo" },
["tex"] = "11\\frac{119}{186}",
["x"] = 11,
["y"] = 119,
["z"] = 186 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6} - (-8)}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{6} - (-8)}{-7}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{6} - (-8)}{-7}}{4\\frac{3}{7}} + 12",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.57, bodu=123, $$-4 + \frac{3\frac{1}{3}}{1\frac{1}{8} \cdot 3\frac{4}{9}} + 12=\textcolor{white}{8\frac{80}{93}}$$return {
["body"] = 123,
["id"] = "nI1M40_0415_1030",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 8.8602150537634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 824,
["jmenovatel"] = 93 },
["render"] = "\\frac{824}{93}",
["typ"] = "cislo" },
["tex"] = "8\\frac{80}{93}",
["x"] = 8,
["y"] = 80,
["z"] = 93 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{3}}{1\\frac{1}{8} \\cdot 3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "-4 + \\frac{3\\frac{1}{3}}{1\\frac{1}{8} \\cdot 3\\frac{4}{9}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-4 + \\frac{3\\frac{1}{3}}{1\\frac{1}{8} \\cdot 3\\frac{4}{9}} + 12",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.58, bodu=71, $$\frac{-18}{2\frac{2}{7}} - (-7) - (-5 + (-9))=\textcolor{white}{13{,}125}$$return {
["body"] = 71,
["id"] = "hK8x8L_0415_1030",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 13.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 105,
["jmenovatel"] = 8 },
["render"] = "\\frac{105}{8}",
["typ"] = "cislo" },
["tex"] = "13\\frac{1}{8}",
["tex_float"] = "13{,}125",
["x"] = 13,
["y"] = 1,
["z"] = 8 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{2\\frac{2}{7}} - (-7)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-5 + (-9)",
["typ"] = "plus" },
["render"] = "(-5 + (-9))",
["typ"] = "zavorka" },
["render"] = "\\frac{-18}{2\\frac{2}{7}} - (-7) - (-5 + (-9))",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.59, bodu=98, $$(3\frac{3}{6} - (-9)) \cdot -8 - (-14 - 2\frac{4}{9})=\textcolor{white}{-83\frac{5}{9}}$$return {
["body"] = 98,
["id"] = "YgfuRU_0415_1030",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -83.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -752,
["jmenovatel"] = 9 },
["render"] = "\\frac{-752}{9}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{5}{9}",
["x"] = -83,
["y"] = 5,
["z"] = 9 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - (-9)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{6} - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{6} - (-9)) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-14 - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-14 - 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{6} - (-9)) \\cdot -8 - (-14 - 2\\frac{4}{9})",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.6, bodu=74, $$((\frac{6}{-12})^2 + 16) \cdot 18 + 19 - 3\frac{5}{10}=\textcolor{white}{308}$$return {
["body"] = 74,
["id"] = "jY0nkq_0415_1030",
["obtiznost"] = 0.802,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 1 },
["render"] = "\\frac{616}{2}",
["typ"] = "cislo" },
["tex"] = "308",
["tex_float"] = "308",
["x"] = 308 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{-12})^2 + 16",
["typ"] = "plus" },
["render"] = "((\\frac{6}{-12})^2 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "((\\frac{6}{-12})^2 + 16) \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "19 - 3\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "((\\frac{6}{-12})^2 + 16) \\cdot 18 + 19 - 3\\frac{5}{10}",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.61, bodu=169, $$((3\frac{5}{8} - (2\frac{1}{8} - 11))^2 - 4\frac{4}{10} + (-8)) \cdot -8=\textcolor{white}{-1150{,}8}$$return {
["body"] = 169,
["id"] = "0EaWrh_0415_1030",
["obtiznost"] = 1.4616,
["reseni"] = {
["float"] = -1150.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5754,
["jmenovatel"] = 5 },
["render"] = "\\frac{-23016}{20}",
["typ"] = "cislo" },
["tex"] = "-1150\\frac{4}{5}",
["tex_float"] = "-1150{,}8",
["x"] = -1150,
["y"] = 4,
["z"] = 5 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{8} - 11)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{8} - (2\\frac{1}{8} - 11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{5}{8} - (2\\frac{1}{8} - 11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{8} - (2\\frac{1}{8} - 11))^2 - 4\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{8} - (2\\frac{1}{8} - 11))^2 - 4\\frac{4}{10} + (-8)",
["typ"] = "plus" },
["render"] = "((3\\frac{5}{8} - (2\\frac{1}{8} - 11))^2 - 4\\frac{4}{10} + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "((3\\frac{5}{8} - (2\\frac{1}{8} - 11))^2 - 4\\frac{4}{10} + (-8)) \\cdot -8",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.62, bodu=108, $$((\frac{-8}{-12})^4 \cdot 2\frac{1}{4} - 3\frac{4}{7}) \cdot -6=\textcolor{white}{18\frac{16}{21}}$$return {
["body"] = 108,
["id"] = "46kFIk_0415_1030",
["obtiznost"] = 1.0588,
["reseni"] = {
["float"] = 18.761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = 394,
["jmenovatel"] = 21 },
["render"] = "\\frac{1182}{63}",
["typ"] = "cislo" },
["tex"] = "18\\frac{16}{21}",
["x"] = 18,
["y"] = 16,
["z"] = 21 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-8}{-12})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(\\frac{-8}{-12})^4 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{-8}{-12})^4 \\cdot 2\\frac{1}{4} - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "((\\frac{-8}{-12})^4 \\cdot 2\\frac{1}{4} - 3\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "((\\frac{-8}{-12})^4 \\cdot 2\\frac{1}{4} - 3\\frac{4}{7}) \\cdot -6",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.63, bodu=132, $$\frac{2\frac{4}{8} + (-12 \cdot 3\frac{4}{10})}{1\frac{4}{10} \cdot 3}=\textcolor{white}{-9\frac{5}{42}}$$return {
["body"] = 132,
["id"] = "vtRpWx_0415_1030",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -9.1190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -383,
["jmenovatel"] = 42 },
["render"] = "\\frac{-1915}{210}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{5}{42}",
["x"] = -9,
["y"] = 5,
["z"] = 42 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{8} + (-12 \\cdot 3\\frac{4}{10})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{8} + (-12 \\cdot 3\\frac{4}{10})}{1\\frac{4}{10} \\cdot 3}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.64, bodu=127, $$\frac{(\frac{1\frac{3}{6}}{1\frac{3}{10}})^2 \cdot -11 - (-9)}{-17}=\textcolor{white}{\frac{954}{2873}}$$return {
["body"] = 127,
["id"] = "kbu0Ra_0415_1030",
["obtiznost"] = 1.1976,
["reseni"] = {
["float"] = 0.3320570831883,
["objekt"] = {
["hodnota"] = {
["citatel"] = 954,
["jmenovatel"] = 2873 },
["render"] = "\\frac{-954}{-2873}",
["typ"] = "cislo" },
["tex"] = "\\frac{954}{2873}",
["y"] = 954,
["z"] = 2873 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{3}{6}}{1\\frac{3}{10}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{6}}{1\\frac{3}{10}})^2 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{6}}{1\\frac{3}{10}})^2 \\cdot -11 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{1\\frac{3}{6}}{1\\frac{3}{10}})^2 \\cdot -11 - (-9)}{-17}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.65, bodu=148, $$\frac{\frac{(\frac{1\frac{4}{8}}{7})^2}{1\frac{2}{10} + 2\frac{1}{10} + 12}}{-10}=\textcolor{white}{-\frac{1}{3332}}$$return {
["body"] = 148,
["id"] = "IVuori_0415_1030",
["obtiznost"] = 1.332,
["reseni"] = {
["float"] = -0.00030012004801921,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 3332 },
["render"] = "\\frac{5}{-16660}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{3332}",
["y"] = -1,
["z"] = 3332 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8}}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{4}{8}}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} + 2\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} + 2\\frac{1}{10} + 12",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{1\\frac{4}{8}}{7})^2}{1\\frac{2}{10} + 2\\frac{1}{10} + 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{1\\frac{4}{8}}{7})^2}{1\\frac{2}{10} + 2\\frac{1}{10} + 12}}{-10}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.66, bodu=137, $$\frac{-15}{\frac{\frac{1\frac{5}{10}}{2\frac{3}{10}} + 1\frac{3}{9} - 18}{16}}=\textcolor{white}{14\frac{218}{221}}$$return {
["body"] = 137,
["id"] = "QXAetL_0415_1030",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 14.986425339367,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3312,
["jmenovatel"] = 221 },
["render"] = "\\frac{-16560}{-1105}",
["typ"] = "cislo" },
["tex"] = "14\\frac{218}{221}",
["x"] = 14,
["y"] = 218,
["z"] = 221 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 18",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{10}}{2\\frac{3}{10}} + 1\\frac{3}{9} - 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{10}}{2\\frac{3}{10}} + 1\\frac{3}{9} - 18}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{\\frac{1\\frac{5}{10}}{2\\frac{3}{10}} + 1\\frac{3}{9} - 18}{16}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.67, bodu=138, $$\frac{\frac{1\frac{3}{10} - 2\frac{1}{7}}{-10}}{\frac{4\frac{4}{12}}{9}}=\textcolor{white}{\frac{1593}{9100}}$$return {
["body"] = 138,
["id"] = "c3uQXD_0415_1030",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 0.17505494505495,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1593,
["jmenovatel"] = 9100 },
["render"] = "\\frac{1593}{9100}",
["typ"] = "cislo" },
["tex"] = "\\frac{1593}{9100}",
["y"] = 1593,
["z"] = 9100 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 2\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10} - 2\\frac{1}{7}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{12}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{3}{10} - 2\\frac{1}{7}}{-10}}{\\frac{4\\frac{4}{12}}{9}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.68, bodu=84, $$\frac{14 \cdot -20 - 14}{\frac{-11}{3\frac{2}{10}}}=\textcolor{white}{85\frac{29}{55}}$$return {
["body"] = 84,
["id"] = "4Tv1fS_0415_1030",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 85.527272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4704,
["jmenovatel"] = 55 },
["render"] = "\\frac{-4704}{-55}",
["typ"] = "cislo" },
["tex"] = "85\\frac{29}{55}",
["x"] = 85,
["y"] = 29,
["z"] = 55 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "14 \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 \\cdot -20 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{14 \\cdot -20 - 14}{\\frac{-11}{3\\frac{2}{10}}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.69, bodu=65, $$((\frac{-10}{16})^2 + 21) \cdot 12 \cdot 17=\textcolor{white}{4363\frac{11}{16}}$$return {
["body"] = 65,
["id"] = "wU9PoM_0415_1030",
["obtiznost"] = 0.7256,
["reseni"] = {
["float"] = 4363.6875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 69819,
["jmenovatel"] = 16 },
["render"] = "\\frac{279276}{64}",
["typ"] = "cislo" },
["tex"] = "4363\\frac{11}{16}",
["x"] = 4363,
["y"] = 11,
["z"] = 16 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{16})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{16})^2 + 21",
["typ"] = "plus" },
["render"] = "((\\frac{-10}{16})^2 + 21)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "12 \\cdot 17",
["typ"] = "krat" },
["render"] = "((\\frac{-10}{16})^2 + 21) \\cdot 12 \\cdot 17",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.7, bodu=113, $$\frac{\frac{17}{1\frac{1}{6}} + (-11 - 11)}{-14 \cdot 2\frac{1}{6}}=\textcolor{white}{\frac{12}{49}}$$return {
["body"] = 113,
["id"] = "3j9Ku7_0415_1030",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 0.24489795918367,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 49 },
["render"] = "\\frac{-156}{-637}",
["typ"] = "cislo" },
["tex"] = "\\frac{12}{49}",
["y"] = 12,
["z"] = 49 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 - 11",
["typ"] = "minus" },
["render"] = "\\frac{17}{1\\frac{1}{6}} + (-11 - 11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{17}{1\\frac{1}{6}} + (-11 - 11)}{-14 \\cdot 2\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.71, bodu=144, $$(1\frac{5}{11} + \frac{\frac{5}{3\frac{2}{5}}}{-6}) \cdot (1\frac{3}{10} - 18)=\textcolor{white}{-20\frac{2219}{11220}}$$return {
["body"] = 144,
["id"] = "SoUSNO_0415_1030",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -20.197771836007,
["objekt"] = {
["hodnota"] = {
["citatel"] = -226619,
["jmenovatel"] = 11220 },
["render"] = "\\frac{-226619}{11220}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{2219}{11220}",
["x"] = -20,
["y"] = 2219,
["z"] = 11220 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{3\\frac{2}{5}}}{-6}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} + \\frac{\\frac{5}{3\\frac{2}{5}}}{-6}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{11} + \\frac{\\frac{5}{3\\frac{2}{5}}}{-6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 18",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{10} - 18)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{11} + \\frac{\\frac{5}{3\\frac{2}{5}}}{-6}) \\cdot (1\\frac{3}{10} - 18)",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.72, bodu=64, $$\frac{-11}{\frac{-19}{15 - (-18)}} \cdot -10=\textcolor{white}{-191\frac{1}{19}}$$return {
["body"] = 64,
["id"] = "gKXqU0_0415_1030",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -191.05263157895,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3630,
["jmenovatel"] = 19 },
["render"] = "\\frac{-3630}{19}",
["typ"] = "cislo" },
["tex"] = "-191\\frac{1}{19}",
["x"] = -191,
["y"] = 1,
["z"] = 19 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "15 - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{-19}{15 - (-18)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{-19}{15 - (-18)}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{\\frac{-19}{15 - (-18)}} \\cdot -10",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.73, bodu=90, $$\frac{7 + 10}{15 + \frac{18}{2\frac{3}{11} + (-11)}}=\textcolor{white}{1\frac{65}{207}}$$return {
["body"] = 90,
["id"] = "raVUwN_0415_1030",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 1.3140096618357,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 207 },
["render"] = "\\frac{272}{207}",
["typ"] = "cislo" },
["tex"] = "1\\frac{65}{207}",
["x"] = 1,
["y"] = 65,
["z"] = 207 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{18}{2\\frac{3}{11} + (-11)}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{18}{2\\frac{3}{11} + (-11)}",
["typ"] = "plus" },
["render"] = "\\frac{7 + 10}{15 + \\frac{18}{2\\frac{3}{11} + (-11)}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.74, bodu=119, $$\frac{(-13 \cdot 22 + 17) \cdot 3\frac{3}{7}}{-14 + 4\frac{3}{11}}=\textcolor{white}{94\frac{610}{749}}$$return {
["body"] = 119,
["id"] = "vrvo9J_0415_1030",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 94.814419225634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 71016,
["jmenovatel"] = 749 },
["render"] = "\\frac{-71016}{-749}",
["typ"] = "cislo" },
["tex"] = "94\\frac{610}{749}",
["x"] = 94,
["y"] = 610,
["z"] = 749 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 22 + 17",
["typ"] = "plus" },
["render"] = "(-13 \\cdot 22 + 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(-13 \\cdot 22 + 17) \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-14 + 4\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "\\frac{(-13 \\cdot 22 + 17) \\cdot 3\\frac{3}{7}}{-14 + 4\\frac{3}{11}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.75, bodu=93, $$\frac{4\frac{1}{3}}{\frac{17 \cdot 11}{10 \cdot 11}}=\textcolor{white}{2\frac{28}{51}}$$return {
["body"] = 93,
["id"] = "113abc_0415_1030",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 2.5490196078431,
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 51 },
["render"] = "\\frac{130}{51}",
["typ"] = "cislo" },
["tex"] = "2\\frac{28}{51}",
["x"] = 2,
["y"] = 28,
["z"] = 51 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "17 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{17 \\cdot 11}{10 \\cdot 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{3}}{\\frac{17 \\cdot 11}{10 \\cdot 11}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.76, bodu=152, $$\frac{3\frac{5}{10}}{2\frac{1}{5}} \cdot -17 - (15 - 1\frac{3}{4})=\textcolor{white}{-40\frac{13}{44}}$$return {
["body"] = 152,
["id"] = "QDword_0415_1030",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -40.295454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1773,
["jmenovatel"] = 44 },
["render"] = "\\frac{-3546}{88}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{13}{44}",
["x"] = -40,
["y"] = 13,
["z"] = 44 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{2\\frac{1}{5}} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "15 - 1\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(15 - 1\\frac{3}{4})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{10}}{2\\frac{1}{5}} \\cdot -17 - (15 - 1\\frac{3}{4})",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.77, bodu=102, $$(5 + 16) \cdot (\frac{-9 \cdot -5 + (-10)}{-7})^4=\textcolor{white}{13125}$$return {
["body"] = 102,
["id"] = "o8cIka_0415_1030",
["obtiznost"] = 1.0204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13125,
["jmenovatel"] = 1 },
["render"] = "\\frac{13125}{1}",
["typ"] = "cislo" },
["tex"] = "13125",
["x"] = 13125 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "5 + 16",
["typ"] = "plus" },
["render"] = "(5 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -5 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot -5 + (-10)}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-9 \\cdot -5 + (-10)}{-7})^4",
["typ"] = "mocnina" },
["render"] = "(5 + 16) \\cdot (\\frac{-9 \\cdot -5 + (-10)}{-7})^4",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.78, bodu=125, $$(2\frac{2}{5} - (-16 - 18)) \cdot \frac{1\frac{1}{9}}{4 - 14}=\textcolor{white}{-4\frac{2}{45}}$$return {
["body"] = 125,
["id"] = "XqkJay_0415_1030",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -4.0444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -182,
["jmenovatel"] = 45 },
["render"] = "\\frac{-182}{45}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{45}",
["x"] = -4,
["y"] = 2,
["z"] = 45 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-16 - 18",
["typ"] = "minus" },
["render"] = "(-16 - 18)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} - (-16 - 18)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{5} - (-16 - 18))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4 - 14",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{1}{9}}{4 - 14}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{2}{5} - (-16 - 18)) \\cdot \\frac{1\\frac{1}{9}}{4 - 14}",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.79, bodu=190, $$\frac{-17}{4\frac{1}{7} + 4\frac{1}{3}} - 3\frac{5}{10} + 2\frac{3}{9} - (-4)=\textcolor{white}{\frac{221}{267}}$$return {
["body"] = 190,
["id"] = "vMBFze_0415_1030",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.82771535580524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 221,
["jmenovatel"] = 267 },
["render"] = "\\frac{221}{267}",
["typ"] = "cislo" },
["tex"] = "\\frac{221}{267}",
["y"] = 221,
["z"] = 267 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 4\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "\\frac{-17}{4\\frac{1}{7} + 4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{4\\frac{1}{7} + 4\\frac{1}{3}} - 3\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{-17}{4\\frac{1}{7} + 4\\frac{1}{3}} - 3\\frac{5}{10} + 2\\frac{3}{9} - (-4)",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.8, bodu=128, $$\frac{-8 \cdot -7}{\frac{15}{3\frac{5}{8}}} + 3\frac{4}{13} - 4=\textcolor{white}{12\frac{164}{195}}$$return {
["body"] = 128,
["id"] = "EKCsOq_0415_1030",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 12.841025641026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2504,
["jmenovatel"] = 195 },
["render"] = "\\frac{2504}{195}",
["typ"] = "cislo" },
["tex"] = "12\\frac{164}{195}",
["x"] = 12,
["y"] = 164,
["z"] = 195 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8 \\cdot -7}{\\frac{15}{3\\frac{5}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} - 4",
["typ"] = "minus" },
["render"] = "\\frac{-8 \\cdot -7}{\\frac{15}{3\\frac{5}{8}}} + 3\\frac{4}{13} - 4",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.81, bodu=229, $$\frac{16}{3\frac{2}{12} \cdot (\frac{2\frac{1}{10}}{3\frac{2}{7}} - 1\frac{3}{7}) \cdot 1\frac{4}{13}}=\textcolor{white}{-4\frac{367148}{410533}}$$return {
["body"] = 229,
["id"] = "sSgtPN_0415_1030",
["obtiznost"] = 1.81,
["reseni"] = {
["float"] = -4.8943203104257,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2009280,
["jmenovatel"] = 410533 },
["render"] = "\\frac{2009280}{-410533}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{367148}{410533}",
["x"] = -4,
["y"] = 367148,
["z"] = 410533 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{3\\frac{2}{7}} - 1\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{1}{10}}{3\\frac{2}{7}} - 1\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{1}{10}}{3\\frac{2}{7}} - 1\\frac{3}{7}) \\cdot 1\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{12} \\cdot (\\frac{2\\frac{1}{10}}{3\\frac{2}{7}} - 1\\frac{3}{7}) \\cdot 1\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "\\frac{16}{3\\frac{2}{12} \\cdot (\\frac{2\\frac{1}{10}}{3\\frac{2}{7}} - 1\\frac{3}{7}) \\cdot 1\\frac{4}{13}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.82, bodu=148, $$\frac{-22}{(7 \cdot -4)^2 - \frac{2\frac{3}{10} \cdot -15}{14}}=\textcolor{white}{-\frac{616}{22021}}$$return {
["body"] = 148,
["id"] = "LxjbY5_0415_1030",
["obtiznost"] = 1.334,
["reseni"] = {
["float"] = -0.02797329821534,
["objekt"] = {
["hodnota"] = {
["citatel"] = -616,
["jmenovatel"] = 22021 },
["render"] = "\\frac{-616}{22021}",
["typ"] = "cislo" },
["tex"] = "-\\frac{616}{22021}",
["y"] = -616,
["z"] = 22021 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 \\cdot -4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot -4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{10} \\cdot -15}{14}",
["typ"] = "lomeno" },
["render"] = "(7 \\cdot -4)^2 - \\frac{2\\frac{3}{10} \\cdot -15}{14}",
["typ"] = "minus" },
["render"] = "\\frac{-22}{(7 \\cdot -4)^2 - \\frac{2\\frac{3}{10} \\cdot -15}{14}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.83, bodu=163, $$\frac{\frac{-15}{-15 + \frac{4\frac{5}{9}}{-11}}}{\frac{4\frac{3}{12}}{3\frac{4}{13}}}=\textcolor{white}{\frac{127710}{168623}}$$return {
["body"] = 163,
["id"] = "xaA6Us_0415_1030",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 0.75736999104511,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127710,
["jmenovatel"] = 168623 },
["render"] = "\\frac{255420}{337246}",
["typ"] = "cislo" },
["tex"] = "\\frac{127710}{168623}",
["y"] = 127710,
["z"] = 168623 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{-11}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{4\\frac{5}{9}}{-11}",
["typ"] = "plus" },
["render"] = "\\frac{-15}{-15 + \\frac{4\\frac{5}{9}}{-11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{12}}{3\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-15}{-15 + \\frac{4\\frac{5}{9}}{-11}}}{\\frac{4\\frac{3}{12}}{3\\frac{4}{13}}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.84, bodu=134, $$\frac{-16}{1\frac{3}{14}} \cdot (-13 + \frac{1\frac{1}{3}}{23 + 16})=\textcolor{white}{170\frac{1678}{1989}}$$return {
["body"] = 134,
["id"] = "1oVQS0_0415_1030",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 170.84364002011,
["objekt"] = {
["hodnota"] = {
["citatel"] = 339808,
["jmenovatel"] = 1989 },
["render"] = "\\frac{339808}{1989}",
["typ"] = "cislo" },
["tex"] = "170\\frac{1678}{1989}",
["x"] = 170,
["y"] = 1678,
["z"] = 1989 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 14 },
["render"] = "1\\frac{3}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{1\\frac{3}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "23 + 16",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{3}}{23 + 16}",
["typ"] = "lomeno" },
["render"] = "-13 + \\frac{1\\frac{1}{3}}{23 + 16}",
["typ"] = "plus" },
["render"] = "(-13 + \\frac{1\\frac{1}{3}}{23 + 16})",
["typ"] = "zavorka" },
["render"] = "\\frac{-16}{1\\frac{3}{14}} \\cdot (-13 + \\frac{1\\frac{1}{3}}{23 + 16})",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.85, bodu=135, $$\frac{10}{1\frac{2}{5}} - (18 - 7 \cdot (4\frac{1}{5} + 19))=\textcolor{white}{151\frac{19}{35}}$$return {
["body"] = 135,
["id"] = "snoLBg_0415_1030",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 151.54285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5304,
["jmenovatel"] = 35 },
["render"] = "\\frac{5304}{35}",
["typ"] = "cislo" },
["tex"] = "151\\frac{19}{35}",
["x"] = 151,
["y"] = 19,
["z"] = 35 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 19",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{5} + 19)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (4\\frac{1}{5} + 19)",
["typ"] = "krat" },
["render"] = "18 - 7 \\cdot (4\\frac{1}{5} + 19)",
["typ"] = "minus" },
["render"] = "(18 - 7 \\cdot (4\\frac{1}{5} + 19))",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{1\\frac{2}{5}} - (18 - 7 \\cdot (4\\frac{1}{5} + 19))",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.86, bodu=276, $$3\frac{3}{8} \cdot \frac{-12}{\frac{2\frac{1}{6}}{1\frac{2}{10}} - (2\frac{1}{9} + 1\frac{4}{9} + 3\frac{5}{8})}=\textcolor{white}{7\frac{23}{43}}$$return {
["body"] = 276,
["id"] = "Eu8prH_0415_1030",
["obtiznost"] = 2.06,
["reseni"] = {
["float"] = 7.5348837209302,
["objekt"] = {
["hodnota"] = {
["citatel"] = 324,
["jmenovatel"] = 43 },
["render"] = "\\frac{2592}{344}",
["typ"] = "cislo" },
["tex"] = "7\\frac{23}{43}",
["x"] = 7,
["y"] = 23,
["z"] = 43 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + 1\\frac{4}{9} + 3\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{9} + 1\\frac{4}{9} + 3\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{6}}{1\\frac{2}{10}} - (2\\frac{1}{9} + 1\\frac{4}{9} + 3\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "\\frac{-12}{\\frac{2\\frac{1}{6}}{1\\frac{2}{10}} - (2\\frac{1}{9} + 1\\frac{4}{9} + 3\\frac{5}{8})}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} \\cdot \\frac{-12}{\\frac{2\\frac{1}{6}}{1\\frac{2}{10}} - (2\\frac{1}{9} + 1\\frac{4}{9} + 3\\frac{5}{8})}",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.87, bodu=268, $$(3\frac{1}{4} + (-22) + 14)^2 - \frac{1\frac{1}{6} \cdot 3\frac{4}{11}}{1\frac{2}{6} + 1\frac{4}{11}}=\textcolor{white}{21\frac{153}{1424}}$$return {
["body"] = 268,
["id"] = "39FNai_0415_1030",
["obtiznost"] = 2.0208,
["reseni"] = {
["float"] = 21.107443820225,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30057,
["jmenovatel"] = 1424 },
["render"] = "\\frac{60114}{2848}",
["typ"] = "cislo" },
["tex"] = "21\\frac{153}{1424}",
["x"] = 21,
["y"] = 153,
["z"] = 1424 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.87",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + (-22)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + (-22) + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{4} + (-22) + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 3\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} + 1\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{6} \\cdot 3\\frac{4}{11}}{1\\frac{2}{6} + 1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{1}{4} + (-22) + 14)^2 - \\frac{1\\frac{1}{6} \\cdot 3\\frac{4}{11}}{1\\frac{2}{6} + 1\\frac{4}{11}}",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.88, bodu=141, $$\frac{\frac{9}{(18 + (-13))^2}}{-8 - 3\frac{2}{7} + 1\frac{5}{13} - 12}=\textcolor{white}{-\frac{819}{49825}}$$return {
["body"] = 141,
["id"] = "QLvrHm_0415_1030",
["obtiznost"] = 1.2904,
["reseni"] = {
["float"] = -0.016437531359759,
["objekt"] = {
["hodnota"] = {
["citatel"] = -819,
["jmenovatel"] = 49825 },
["render"] = "\\frac{819}{-49825}",
["typ"] = "cislo" },
["tex"] = "-\\frac{819}{49825}",
["y"] = -819,
["z"] = 49825 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "18 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(18 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(18 + (-13))^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-8 - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} - 12",
["typ"] = "minus" },
["render"] = "-8 - 3\\frac{2}{7} + 1\\frac{5}{13} - 12",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{9}{(18 + (-13))^2}}{-8 - 3\\frac{2}{7} + 1\\frac{5}{13} - 12}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.89, bodu=161, $$\frac{12 \cdot -12 - 1\frac{1}{5} - 13}{(1\frac{2}{7} + (14 + (-13))^4)^2}=\textcolor{white}{-30\frac{359}{1280}}$$return {
["body"] = 161,
["id"] = "QsyT8O_0415_1030",
["obtiznost"] = 1.4128,
["reseni"] = {
["float"] = -30.28046875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38759,
["jmenovatel"] = 1280 },
["render"] = "\\frac{-38759}{1280}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{359}{1280}",
["x"] = -30,
["y"] = 359,
["z"] = 1280 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12 - 1\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12 - 1\\frac{1}{5} - 13",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "14 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(14 + (-13))^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{7} + (14 + (-13))^4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{7} + (14 + (-13))^4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{12 \\cdot -12 - 1\\frac{1}{5} - 13}{(1\\frac{2}{7} + (14 + (-13))^4)^2}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.9, bodu=179, $$\frac{\frac{13}{\frac{4\frac{2}{7}}{1\frac{3}{8}}} - (\frac{20}{13})^2}{-10}=\textcolor{white}{-\frac{73169}{405600}}$$return {
["body"] = 179,
["id"] = "R0HPkS_0415_1030",
["obtiznost"] = 1.5276,
["reseni"] = {
["float"] = -0.18039694280079,
["objekt"] = {
["hodnota"] = {
["citatel"] = -73169,
["jmenovatel"] = 405600 },
["render"] = "\\frac{73169}{-405600}",
["typ"] = "cislo" },
["tex"] = "-\\frac{73169}{405600}",
["y"] = -73169,
["z"] = 405600 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{4\\frac{2}{7}}{1\\frac{3}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{20}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{20}{13})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{\\frac{4\\frac{2}{7}}{1\\frac{3}{8}}} - (\\frac{20}{13})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{\\frac{4\\frac{2}{7}}{1\\frac{3}{8}}} - (\\frac{20}{13})^2}{-10}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.91, bodu=247, $$\frac{\frac{4\frac{1}{5}}{3\frac{2}{13}}}{\frac{3\frac{5}{12}}{4\frac{5}{10}}} \cdot (-10 + 3\frac{3}{9})=\textcolor{white}{-11\frac{1165}{1681}}$$return {
["body"] = 247,
["id"] = "6sPNvn_0415_1030",
["obtiznost"] = 1.91,
["reseni"] = {
["float"] = -11.693039857228,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19656,
["jmenovatel"] = 1681 },
["render"] = "\\frac{-294840}{25215}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1165}{1681}",
["x"] = -11,
["y"] = 1165,
["z"] = 1681 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 13 },
["render"] = "3\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{3\\frac{2}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12}}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{4\\frac{1}{5}}{3\\frac{2}{13}}}{\\frac{3\\frac{5}{12}}{4\\frac{5}{10}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{4\\frac{1}{5}}{3\\frac{2}{13}}}{\\frac{3\\frac{5}{12}}{4\\frac{5}{10}}} \\cdot (-10 + 3\\frac{3}{9})",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.92, bodu=146, $$\frac{2\frac{1}{8}}{-3 - 1\frac{5}{11}} - \frac{-10}{-17 + (-17)}=\textcolor{white}{-\frac{5139}{6664}}$$return {
["body"] = 146,
["id"] = "lYZij5_0415_1030",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -0.77115846338535,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5139,
["jmenovatel"] = 6664 },
["render"] = "\\frac{-5139}{6664}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5139}{6664}",
["y"] = -5139,
["z"] = 6664 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-3 - 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{8}}{-3 - 1\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-17 + (-17)",
["typ"] = "plus" },
["render"] = "\\frac{-10}{-17 + (-17)}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{8}}{-3 - 1\\frac{5}{11}} - \\frac{-10}{-17 + (-17)}",
["typ"] = "minus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.93, bodu=214, $$(13 - 2\frac{5}{8} - 4\frac{1}{10}) \cdot 1\frac{3}{11} \cdot 3\frac{5}{7} + (-17)=\textcolor{white}{12\frac{73}{110}}$$return {
["body"] = 214,
["id"] = "YZ2AuW_0415_1030",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 12.663636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1393,
["jmenovatel"] = 110 },
["render"] = "\\frac{1393}{110}",
["typ"] = "cislo" },
["tex"] = "12\\frac{73}{110}",
["x"] = 12,
["y"] = 73,
["z"] = 110 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "13 - 2\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "13 - 2\\frac{5}{8} - 4\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "(13 - 2\\frac{5}{8} - 4\\frac{1}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(13 - 2\\frac{5}{8} - 4\\frac{1}{10}) \\cdot 1\\frac{3}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(13 - 2\\frac{5}{8} - 4\\frac{1}{10}) \\cdot 1\\frac{3}{11} \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(13 - 2\\frac{5}{8} - 4\\frac{1}{10}) \\cdot 1\\frac{3}{11} \\cdot 3\\frac{5}{7} + (-17)",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.94, bodu=149, $$\frac{17}{3\frac{2}{5} \cdot 3\frac{5}{8} \cdot -8 \cdot -8}=\textcolor{white}{\frac{5}{232}}$$return {
["body"] = 149,
["id"] = "D4dDHP_0415_1030",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 0.021551724137931,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 232 },
["render"] = "\\frac{85}{3944}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{232}",
["y"] = 5,
["z"] = 232 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot -8 \\cdot -8",
["typ"] = "krat" },
["render"] = "3\\frac{2}{5} \\cdot 3\\frac{5}{8} \\cdot -8 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{17}{3\\frac{2}{5} \\cdot 3\\frac{5}{8} \\cdot -8 \\cdot -8}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.95, bodu=183, $$\frac{-21 + 15 \cdot 1\frac{3}{11}}{-14} \cdot (2\frac{1}{9} + 7 + 1\frac{5}{13})=\textcolor{white}{1\frac{185}{429}}$$return {
["body"] = 183,
["id"] = "YT7nSb_0415_1030",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 1.4312354312354,
["objekt"] = {
["hodnota"] = {
["citatel"] = 614,
["jmenovatel"] = 429 },
["render"] = "\\frac{3684}{2574}",
["typ"] = "cislo" },
["tex"] = "1\\frac{185}{429}",
["x"] = 1,
["y"] = 185,
["z"] = 429 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "-21 + 15 \\cdot 1\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-21 + 15 \\cdot 1\\frac{3}{11}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "2\\frac{1}{9} + 7 + 1\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{9} + 7 + 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "\\frac{-21 + 15 \\cdot 1\\frac{3}{11}}{-14} \\cdot (2\\frac{1}{9} + 7 + 1\\frac{5}{13})",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.96, bodu=122, $$\frac{17}{\frac{-17}{-16} + (-19)} \cdot 3\frac{4}{15} + 4=\textcolor{white}{\frac{556}{615}}$$return {
["body"] = 122,
["id"] = "HfQYXO_0415_1030",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 0.90406504065041,
["objekt"] = {
["hodnota"] = {
["citatel"] = 556,
["jmenovatel"] = 615 },
["render"] = "\\frac{556}{615}",
["typ"] = "cislo" },
["tex"] = "\\frac{556}{615}",
["y"] = 556,
["z"] = 615 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-16} + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{17}{\\frac{-17}{-16} + (-19)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{\\frac{-17}{-16} + (-19)} \\cdot 3\\frac{4}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{17}{\\frac{-17}{-16} + (-19)} \\cdot 3\\frac{4}{15} + 4",
["typ"] = "plus" } }
seed: rx7Hk7a0maPvp38KQVuH_0.97, bodu=221, $$\frac{13 \cdot 4\frac{1}{8} - 1\frac{5}{8}}{-21 - 1\frac{2}{10} \cdot 2\frac{4}{7}}=\textcolor{white}{-2\frac{134}{843}}$$return {
["body"] = 221,
["id"] = "b4RKOq_0415_1030",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -2.158956109134,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1820,
["jmenovatel"] = 843 },
["render"] = "\\frac{1820}{-843}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{134}{843}",
["x"] = -2,
["y"] = 134,
["z"] = 843 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{1}{8} - 1\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "-21 - 1\\frac{2}{10} \\cdot 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{13 \\cdot 4\\frac{1}{8} - 1\\frac{5}{8}}{-21 - 1\\frac{2}{10} \\cdot 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: rx7Hk7a0maPvp38KQVuH_0.98, bodu=132, $$\frac{-8 - 2\frac{5}{14}}{20} \cdot -16 \cdot (10 - 21)^2=\textcolor{white}{1002\frac{4}{7}}$$return {
["body"] = 132,
["id"] = "c3FqEV_0415_1030",
["obtiznost"] = 1.2288,
["reseni"] = {
["float"] = 1002.5714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7018,
["jmenovatel"] = 7 },
["render"] = "\\frac{7018}{7}",
["typ"] = "cislo" },
["tex"] = "1002\\frac{4}{7}",
["x"] = 1002,
["y"] = 4,
["z"] = 7 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{5}{14}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - 2\\frac{5}{14}}{20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - 2\\frac{5}{14}}{20} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "10 - 21",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 21)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8 - 2\\frac{5}{14}}{20} \\cdot -16 \\cdot (10 - 21)^2",
["typ"] = "krat" } }
seed: rx7Hk7a0maPvp38KQVuH_0.99, bodu=174, $$((-23 + 19)^4 - \frac{9}{4\frac{4}{11}}) \cdot 1\frac{5}{10} \cdot (-12 + (-14))=\textcolor{white}{-9903\frac{9}{16}}$$return {
["body"] = 174,
["id"] = "88eXDH_0415_1030",
["obtiznost"] = 1.4928,
["reseni"] = {
["float"] = -9903.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -158457,
["jmenovatel"] = 16 },
["render"] = "\\frac{-316914}{32}",
["typ"] = "cislo" },
["tex"] = "-9903\\frac{9}{16}",
["x"] = -9903,
["y"] = 9,
["z"] = 16 },
["seed"] = "rx7Hk7a0maPvp38KQVuH_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-23 + 19",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-23 + 19)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "(-23 + 19)^4 - \\frac{9}{4\\frac{4}{11}}",
["typ"] = "minus" },
["render"] = "((-23 + 19)^4 - \\frac{9}{4\\frac{4}{11}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "((-23 + 19)^4 - \\frac{9}{4\\frac{4}{11}}) \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-12 + (-14)",
["typ"] = "plus" },
["render"] = "(-12 + (-14))",
["typ"] = "zavorka" },
["render"] = "((-23 + 19)^4 - \\frac{9}{4\\frac{4}{11}}) \\cdot 1\\frac{5}{10} \\cdot (-12 + (-14))",
["typ"] = "krat" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
bounce1.gif: 
celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 