- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: DNr18RSmMRxNHTbO0K95_0, bodu=5, $$11 \cdot 8 \cdot 5=\textcolor{white}{440}$$return {
["body"] = 5,
["id"] = "NElOGc_1106_0531",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 440,
["jmenovatel"] = 1 },
["render"] = "\\frac{440}{1}",
["typ"] = "cislo" },
["tex"] = "440",
["tex_float"] = "440",
["x"] = 440 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8 \\cdot 5",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.01, bodu=5, $$(9 + 2)^2 \cdot (9 - 6)=\textcolor{white}{363}$$return {
["body"] = 5,
["id"] = "Xa5PFb_1106_0531",
["obtiznost"] = 0.0588,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 363,
["jmenovatel"] = 1 },
["render"] = "\\frac{363}{1}",
["typ"] = "cislo" },
["tex"] = "363",
["x"] = 363 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "9 + 2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 2)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["render"] = "(9 - 6)",
["typ"] = "zavorka" },
["render"] = "(9 + 2)^2 \\cdot (9 - 6)",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.02, bodu=10, $$\frac{6 \cdot 4}{6}=\textcolor{white}{4}$$return {
["body"] = 10,
["id"] = "lmSTmf_1106_0531",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{6}",
["typ"] = "cislo" },
["tex"] = "4",
["tex_float"] = "4",
["x"] = 4 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 4}{6}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.03, bodu=10, $$\frac{7 - 5 \cdot 4}{8}=\textcolor{white}{-1{,}625}$$return {
["body"] = 10,
["id"] = "eKDyTP_1106_0531",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -1.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 8 },
["render"] = "\\frac{-13}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{8}",
["tex_float"] = "-1{,}625",
["x"] = -1,
["y"] = 5,
["z"] = 8 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["render"] = "7 - 5 \\cdot 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 5 \\cdot 4}{8}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.04, bodu=20, $$2\frac{5}{8} \cdot 4 + 6 + 11=\textcolor{white}{27{,}5}$$return {
["body"] = 20,
["id"] = "eZaEwT_1106_0531",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 27.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 2 },
["render"] = "\\frac{55}{2}",
["typ"] = "cislo" },
["tex"] = "27\\frac{1}{2}",
["tex_float"] = "27{,}5",
["x"] = 27,
["y"] = 1,
["z"] = 2 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 + 11",
["typ"] = "plus" },
["render"] = "2\\frac{5}{8} \\cdot 4 + 6 + 11",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.05, bodu=11, $$\frac{\frac{5}{6} - 10}{4}=\textcolor{white}{-2\frac{7}{24}}$$return {
["body"] = 11,
["id"] = "ckstQD_1106_0531",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -2.2916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 24 },
["render"] = "\\frac{-55}{24}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{7}{24}",
["x"] = -2,
["y"] = 7,
["z"] = 24 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5}{6} - 10}{4}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.06, bodu=21, $$8 - (-10) - 2\frac{4}{6} - 4=\textcolor{white}{11\frac{1}{3}}$$return {
["body"] = 21,
["id"] = "qmujbk_1106_0531",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 11.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 3 },
["render"] = "\\frac{34}{3}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{3}",
["x"] = 11,
["y"] = 1,
["z"] = 3 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "8 - (-10) - 2\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - (-10) - 2\\frac{4}{6} - 4",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.07, bodu=11, $$\frac{8 - 9}{-8 + 2}=\textcolor{white}{\frac{1}{6}}$$return {
["body"] = 11,
["id"] = "Fvy2mo_1106_0531",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1}{-6}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{6}",
["y"] = 1,
["z"] = 6 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-8 + 2",
["typ"] = "plus" },
["render"] = "\\frac{8 - 9}{-8 + 2}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.08, bodu=12, $$\frac{3}{8 \cdot 2 + 10}=\textcolor{white}{\frac{3}{26}}$$return {
["body"] = 12,
["id"] = "l9NUYI_1106_0531",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 0.11538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 26 },
["render"] = "\\frac{3}{26}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{26}",
["y"] = 3,
["z"] = 26 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2 + 10",
["typ"] = "plus" },
["render"] = "\\frac{3}{8 \\cdot 2 + 10}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.09, bodu=24, $$1\frac{1}{3} - (12 + (-7) - (6 + 5))=\textcolor{white}{7\frac{1}{3}}$$return {
["body"] = 24,
["id"] = "rR2iOY_1106_0531",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 7.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 3 },
["render"] = "\\frac{22}{3}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{3}",
["x"] = 7,
["y"] = 1,
["z"] = 3 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 + (-7)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["render"] = "(6 + 5)",
["typ"] = "zavorka" },
["render"] = "12 + (-7) - (6 + 5)",
["typ"] = "minus" },
["render"] = "(12 + (-7) - (6 + 5))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{3} - (12 + (-7) - (6 + 5))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.1, bodu=27, $$-8 + 4\frac{2}{5} + (\frac{6}{8})^3=\textcolor{white}{-3\frac{57}{320}}$$return {
["body"] = 27,
["id"] = "zHMgBS_1106_0531",
["obtiznost"] = 0.3364,
["reseni"] = {
["float"] = -3.178125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1017,
["jmenovatel"] = 320 },
["render"] = "\\frac{-1017}{320}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{57}{320}",
["x"] = -3,
["y"] = 57,
["z"] = 320 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{8})^3",
["typ"] = "mocnina" },
["render"] = "-8 + 4\\frac{2}{5} + (\\frac{6}{8})^3",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.11, bodu=6, $$4 \cdot (7 - (6 + 5))=\textcolor{white}{-16}$$return {
["body"] = 6,
["id"] = "avgMXj_1106_0531",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16}{1}",
["typ"] = "cislo" },
["tex"] = "-16",
["x"] = -16 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["render"] = "(6 + 5)",
["typ"] = "zavorka" },
["render"] = "7 - (6 + 5)",
["typ"] = "minus" },
["render"] = "(7 - (6 + 5))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (7 - (6 + 5))",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.12, bodu=43, $$3\frac{2}{4} - \frac{1\frac{2}{5}}{10} - 8=\textcolor{white}{-4{,}64}$$return {
["body"] = 43,
["id"] = "btaRCZ_1106_0531",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -4.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = -116,
["jmenovatel"] = 25 },
["render"] = "\\frac{-116}{25}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{16}{25}",
["tex_float"] = "-4{,}64",
["x"] = -4,
["y"] = 16,
["z"] = 25 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5}}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{4} - \\frac{1\\frac{2}{5}}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} - \\frac{1\\frac{2}{5}}{10} - 8",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.13, bodu=14, $$\frac{8}{9 \cdot 7 + 4}=\textcolor{white}{\frac{8}{67}}$$return {
["body"] = 14,
["id"] = "AfO7i1_1106_0531",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 0.11940298507463,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 67 },
["render"] = "\\frac{8}{67}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{67}",
["y"] = 8,
["z"] = 67 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.13",
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7 + 4",
["typ"] = "plus" },
["render"] = "\\frac{8}{9 \\cdot 7 + 4}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.14, bodu=7, $$-7 \cdot 5 \cdot 12=\textcolor{white}{-420}$$return {
["body"] = 7,
["id"] = "780zqb_1106_0531",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -420,
["jmenovatel"] = 1 },
["render"] = "\\frac{-420}{1}",
["typ"] = "cislo" },
["tex"] = "-420",
["tex_float"] = "-420",
["x"] = -420 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 5 \\cdot 12",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.15, bodu=28, $$1\frac{3}{7} \cdot (\frac{7}{7})^3=\textcolor{white}{1\frac{3}{7}}$$return {
["body"] = 28,
["id"] = "xg8Uvs_1106_0531",
["obtiznost"] = 0.3508,
["reseni"] = {
["float"] = 1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "\\frac{10}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{7}",
["x"] = 1,
["y"] = 3,
["z"] = 7 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{7})^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{7} \\cdot (\\frac{7}{7})^3",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.16, bodu=29, $$\frac{9}{\frac{6 + 4}{4\frac{4}{9}}}=\textcolor{white}{4}$$return {
["body"] = 29,
["id"] = "koMoB8_1106_0531",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{36}{9}",
["typ"] = "cislo" },
["tex"] = "4",
["tex_float"] = "4",
["x"] = 4 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 4}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{6 + 4}{4\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.17, bodu=16, $$8 - \frac{-4}{-8} - (-7)=\textcolor{white}{14{,}5}$$return {
["body"] = 16,
["id"] = "1O11ef_1106_0531",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 14.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 2 },
["render"] = "\\frac{29}{2}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1}{2}",
["tex_float"] = "14{,}5",
["x"] = 14,
["y"] = 1,
["z"] = 2 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-8}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{-4}{-8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 - \\frac{-4}{-8} - (-7)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.18, bodu=31, $$\frac{3}{6 \cdot -6 - 3\frac{3}{5}}=\textcolor{white}{-\frac{5}{66}}$$return {
["body"] = 31,
["id"] = "go43sj_1106_0531",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -0.075757575757576,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 66 },
["render"] = "\\frac{15}{-198}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{66}",
["y"] = -5,
["z"] = 66 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "6 \\cdot -6 - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{3}{6 \\cdot -6 - 3\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.19, bodu=17, $$-5 + \frac{-5}{9} + 11=\textcolor{white}{5\frac{4}{9}}$$return {
["body"] = 17,
["id"] = "ca1GlM_1106_0531",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 5.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 9 },
["render"] = "\\frac{49}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{4}{9}",
["x"] = 5,
["y"] = 4,
["z"] = 9 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{9} + 11",
["typ"] = "plus" },
["render"] = "-5 + \\frac{-5}{9} + 11",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.2, bodu=32, $$1\frac{1}{3} \cdot 7 + (-9 - 12) - 10=\textcolor{white}{-21\frac{2}{3}}$$return {
["body"] = 32,
["id"] = "g9dNhK_1106_0531",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = -21.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 3 },
["render"] = "\\frac{-65}{3}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{2}{3}",
["x"] = -21,
["y"] = 2,
["z"] = 3 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 - 12",
["typ"] = "minus" },
["render"] = "1\\frac{1}{3} \\cdot 7 + (-9 - 12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} \\cdot 7 + (-9 - 12) - 10",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.21, bodu=18, $$14 + \frac{13 + (-5)}{-11 - (-10)}=\textcolor{white}{6}$$return {
["body"] = 18,
["id"] = "X0eQ7v_1106_0531",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{1}",
["typ"] = "cislo" },
["tex"] = "6",
["tex_float"] = "6",
["x"] = 6 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 + (-5)",
["typ"] = "plus" },
["c2"] = {
["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"] = "\\frac{13 + (-5)}{-11 - (-10)}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{13 + (-5)}{-11 - (-10)}",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.22, bodu=19, $$\frac{7 \cdot 6}{7 \cdot 9}=\textcolor{white}{\frac{2}{3}}$$return {
["body"] = 19,
["id"] = "fm9o6i_1106_0531",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 0.66666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 3 },
["render"] = "\\frac{42}{63}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{3}",
["y"] = 2,
["z"] = 3 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{7 \\cdot 6}{7 \\cdot 9}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.23, bodu=36, $$10 \cdot 4 - (2\frac{1}{4} + (4 - 9)^2)=\textcolor{white}{12{,}75}$$return {
["body"] = 36,
["id"] = "3neG0k_1106_0531",
["obtiznost"] = 0.4404,
["reseni"] = {
["float"] = 12.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 4 },
["render"] = "\\frac{51}{4}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3}{4}",
["tex_float"] = "12{,}75",
["x"] = 12,
["y"] = 3,
["z"] = 4 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 9)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{4} + (4 - 9)^2",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{4} + (4 - 9)^2)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 4 - (2\\frac{1}{4} + (4 - 9)^2)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.24, bodu=20, $$\frac{4}{5 + 4 + 11} \cdot 14=\textcolor{white}{2{,}8}$$return {
["body"] = 20,
["id"] = "eCRPpX_1106_0531",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 2.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "\\frac{14}{5}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{5}",
["tex_float"] = "2{,}8",
["x"] = 2,
["y"] = 4,
["z"] = 5 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 + 11",
["typ"] = "plus" },
["render"] = "5 + 4 + 11",
["typ"] = "plus" },
["render"] = "\\frac{4}{5 + 4 + 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5 + 4 + 11} \\cdot 14",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.25, bodu=21, $$\frac{-3}{-2} + \frac{9}{8}=\textcolor{white}{2{,}625}$$return {
["body"] = 21,
["id"] = "hZQz11_1106_0531",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 2.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "\\frac{42}{16}",
["typ"] = "cislo" },
["tex"] = "2\\frac{5}{8}",
["tex_float"] = "2{,}625",
["x"] = 2,
["y"] = 5,
["z"] = 8 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-3}{-2} + \\frac{9}{8}",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.26, bodu=21, $$(-7 + 8) \cdot \frac{-6}{8}=\textcolor{white}{-0{,}75}$$return {
["body"] = 21,
["id"] = "90Wrhe_1106_0531",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3}{4}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{4}",
["tex_float"] = "-0{,}75",
["y"] = -3,
["z"] = 4 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 + 8",
["typ"] = "plus" },
["render"] = "(-7 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{8}",
["typ"] = "lomeno" },
["render"] = "(-7 + 8) \\cdot \\frac{-6}{8}",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.27, bodu=38, $$\frac{8 \cdot 12}{-7 + 4\frac{5}{11}}=\textcolor{white}{-37\frac{5}{7}}$$return {
["body"] = 38,
["id"] = "xfNnhP_1106_0531",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -37.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -264,
["jmenovatel"] = 7 },
["render"] = "\\frac{1056}{-28}",
["typ"] = "cislo" },
["tex"] = "-37\\frac{5}{7}",
["x"] = -37,
["y"] = 5,
["z"] = 7 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-7 + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{8 \\cdot 12}{-7 + 4\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.28, bodu=39, $$\frac{\frac{7}{11 - 3\frac{2}{5}}}{-8}=\textcolor{white}{-\frac{35}{304}}$$return {
["body"] = 39,
["id"] = "C9a8zi_1106_0531",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.11513157894737,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 304 },
["render"] = "\\frac{35}{-304}",
["typ"] = "cislo" },
["tex"] = "-\\frac{35}{304}",
["y"] = -35,
["z"] = 304 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "\\frac{7}{11 - 3\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{11 - 3\\frac{2}{5}}}{-8}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.29, bodu=37, $$\frac{-9}{13} \cdot (\frac{7}{-4})^3=\textcolor{white}{3\frac{591}{832}}$$return {
["body"] = 37,
["id"] = "Iqd0WD_1106_0531",
["obtiznost"] = 0.4528,
["reseni"] = {
["float"] = 3.7103365384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3087,
["jmenovatel"] = 832 },
["render"] = "\\frac{3087}{832}",
["typ"] = "cislo" },
["tex"] = "3\\frac{591}{832}",
["x"] = 3,
["y"] = 591,
["z"] = 832 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{-4})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-9}{13} \\cdot (\\frac{7}{-4})^3",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.3, bodu=12, $$-9 \cdot (10 \cdot -3 - 12)=\textcolor{white}{378}$$return {
["body"] = 12,
["id"] = "ENd2Zz_1106_0531",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 378,
["jmenovatel"] = 1 },
["render"] = "\\frac{378}{1}",
["typ"] = "cislo" },
["tex"] = "378",
["tex_float"] = "378",
["x"] = 378 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "10 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -3 - 12",
["typ"] = "minus" },
["render"] = "(10 \\cdot -3 - 12)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (10 \\cdot -3 - 12)",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.31, bodu=42, $$(11 - 7) \cdot (-10 - 3\frac{3}{8})=\textcolor{white}{-53{,}5}$$return {
["body"] = 42,
["id"] = "IHGyvR_1106_0531",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -53.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -107,
["jmenovatel"] = 2 },
["render"] = "\\frac{-428}{8}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{1}{2}",
["tex_float"] = "-53{,}5",
["x"] = -53,
["y"] = 1,
["z"] = 2 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 7",
["typ"] = "minus" },
["render"] = "(11 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(-10 - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "(11 - 7) \\cdot (-10 - 3\\frac{3}{8})",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.32, bodu=13, $$9 - 10 \cdot -8 \cdot 11=\textcolor{white}{889}$$return {
["body"] = 13,
["id"] = "9MmxUH_1106_0531",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 889,
["jmenovatel"] = 1 },
["render"] = "\\frac{889}{1}",
["typ"] = "cislo" },
["tex"] = "889",
["tex_float"] = "889",
["x"] = 889 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8 \\cdot 11",
["typ"] = "krat" },
["render"] = "9 - 10 \\cdot -8 \\cdot 11",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.33, bodu=33, $$-11 - ((\frac{10}{4 - 12})^3 + 9)=\textcolor{white}{-18\frac{3}{64}}$$return {
["body"] = 33,
["id"] = "XtuIBp_1106_0531",
["obtiznost"] = 0.4056,
["reseni"] = {
["float"] = -18.046875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1155,
["jmenovatel"] = 64 },
["render"] = "\\frac{-1155}{64}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{3}{64}",
["x"] = -18,
["y"] = 3,
["z"] = 64 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4 - 12",
["typ"] = "minus" },
["render"] = "\\frac{10}{4 - 12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{4 - 12})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{10}{4 - 12})^3 + 9",
["typ"] = "plus" },
["render"] = "((\\frac{10}{4 - 12})^3 + 9)",
["typ"] = "zavorka" },
["render"] = "-11 - ((\\frac{10}{4 - 12})^3 + 9)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.34, bodu=96, $$\frac{(6 - 9)^4 - (4\frac{1}{6} + 3\frac{2}{8})}{2\frac{1}{5}}=\textcolor{white}{33\frac{59}{132}}$$return {
["body"] = 96,
["id"] = "CWJLoY_1106_0531",
["obtiznost"] = 0.9728,
["reseni"] = {
["float"] = 33.44696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4415,
["jmenovatel"] = 132 },
["render"] = "\\frac{4415}{132}",
["typ"] = "cislo" },
["tex"] = "33\\frac{59}{132}",
["x"] = 33,
["y"] = 59,
["z"] = 132 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(6 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + 3\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "(6 - 9)^4 - (4\\frac{1}{6} + 3\\frac{2}{8})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 9)^4 - (4\\frac{1}{6} + 3\\frac{2}{8})}{2\\frac{1}{5}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.35, bodu=14, $$7 \cdot (7 + 12) + 7 - 9=\textcolor{white}{131}$$return {
["body"] = 14,
["id"] = "wlDSjx_1106_0531",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 131,
["jmenovatel"] = 1 },
["render"] = "\\frac{131}{1}",
["typ"] = "cislo" },
["tex"] = "131",
["x"] = 131 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["render"] = "(7 + 12)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (7 + 12)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "7 \\cdot (7 + 12) + 7 - 9",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.36, bodu=94, $$\frac{1\frac{1}{4}}{-11 - (4\frac{4}{8} + 4\frac{3}{7}) \cdot -8}=\textcolor{white}{\frac{35}{1692}}$$return {
["body"] = 94,
["id"] = "Rgbkzn_1106_0531",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 0.020685579196217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 1692 },
["render"] = "\\frac{35}{1692}",
["typ"] = "cislo" },
["tex"] = "\\frac{35}{1692}",
["y"] = 35,
["z"] = 1692 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{8} + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{8} + 4\\frac{3}{7}) \\cdot -8",
["typ"] = "krat" },
["render"] = "-11 - (4\\frac{4}{8} + 4\\frac{3}{7}) \\cdot -8",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{1}{4}}{-11 - (4\\frac{4}{8} + 4\\frac{3}{7}) \\cdot -8}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.37, bodu=93, $$\frac{4\frac{1}{4}}{(4 \cdot 5 + 11)^2}=\textcolor{white}{\frac{17}{3844}}$$return {
["body"] = 93,
["id"] = "DolYNC_1106_0531",
["obtiznost"] = 0.9548,
["reseni"] = {
["float"] = 0.0044224765868887,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 3844 },
["render"] = "\\frac{17}{3844}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{3844}",
["y"] = 17,
["z"] = 3844 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 \\cdot 5 + 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{1}{4}}{(4 \\cdot 5 + 11)^2}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.38, bodu=49, $$-12 - (\frac{6}{2\frac{2}{6}} + 14 + 11)=\textcolor{white}{-39\frac{4}{7}}$$return {
["body"] = 49,
["id"] = "m2RXyB_1106_0531",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -39.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -277,
["jmenovatel"] = 7 },
["render"] = "\\frac{-277}{7}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{4}{7}",
["x"] = -39,
["y"] = 4,
["z"] = 7 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 + 11",
["typ"] = "plus" },
["render"] = "\\frac{6}{2\\frac{2}{6}} + 14 + 11",
["typ"] = "plus" },
["render"] = "(\\frac{6}{2\\frac{2}{6}} + 14 + 11)",
["typ"] = "zavorka" },
["render"] = "-12 - (\\frac{6}{2\\frac{2}{6}} + 14 + 11)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.39, bodu=50, $$\frac{-8}{(7 + 11) \cdot 4\frac{5}{8}}=\textcolor{white}{-\frac{32}{333}}$$return {
["body"] = 50,
["id"] = "ZEZec4_1106_0531",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -0.096096096096096,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 333 },
["render"] = "\\frac{-32}{333}",
["typ"] = "cislo" },
["tex"] = "-\\frac{32}{333}",
["y"] = -32,
["z"] = 333 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 + 11",
["typ"] = "plus" },
["render"] = "(7 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(7 + 11) \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-8}{(7 + 11) \\cdot 4\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.4, bodu=52, $$8 \cdot ((7 + (-9))^3 + 8)^2 \cdot (6 + 1\frac{1}{7})=\textcolor{white}{0}$$return {
["body"] = 52,
["id"] = "7vwSUN_1106_0531",
["obtiznost"] = 0.604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(7 + (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(7 + (-9))^3 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "((7 + (-9))^3 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "6 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(6 + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "((7 + (-9))^3 + 8)^2 \\cdot (6 + 1\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "8 \\cdot ((7 + (-9))^3 + 8)^2 \\cdot (6 + 1\\frac{1}{7})",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.41, bodu=17, $$(13 + (-10))^3 \cdot (17 + (-4) + (-9)) \cdot 9=\textcolor{white}{972}$$return {
["body"] = 17,
["id"] = "Mbn8Mx_1106_0531",
["obtiznost"] = 0.4212,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 972,
["jmenovatel"] = 1 },
["render"] = "\\frac{972}{1}",
["typ"] = "cislo" },
["tex"] = "972",
["x"] = 972 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-10))^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "17 + (-4)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "17 + (-4) + (-9)",
["typ"] = "plus" },
["render"] = "(17 + (-4) + (-9))",
["typ"] = "zavorka" },
["render"] = "(13 + (-10))^3 \\cdot (17 + (-4) + (-9))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(13 + (-10))^3 \\cdot (17 + (-4) + (-9)) \\cdot 9",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.42, bodu=76, $$\frac{\frac{9}{-5}}{-11} + 3\frac{1}{6} + 2\frac{5}{9}=\textcolor{white}{5\frac{877}{990}}$$return {
["body"] = 76,
["id"] = "oFR3ri_1106_0531",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 5.8858585858586,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5827,
["jmenovatel"] = 990 },
["render"] = "\\frac{17481}{2970}",
["typ"] = "cislo" },
["tex"] = "5\\frac{877}{990}",
["x"] = 5,
["y"] = 877,
["z"] = 990 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{-5}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{-5}}{-11} + 3\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{-5}}{-11} + 3\\frac{1}{6} + 2\\frac{5}{9}",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.43, bodu=64, $$(\frac{-9 + 11}{(-2 - (-6)) \cdot 1\frac{2}{5}})^2=\textcolor{white}{\frac{25}{196}}$$return {
["body"] = 64,
["id"] = "g6xmrH_1106_0531",
["obtiznost"] = 0.7184,
["reseni"] = {
["float"] = 0.12755102040816,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 196 },
["render"] = "\\frac{25}{196}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{196}",
["y"] = 25,
["z"] = 196 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.43",
["zadani"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-2 - (-6)",
["typ"] = "minus" },
["render"] = "(-2 - (-6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-2 - (-6)) \\cdot 1\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "\\frac{-9 + 11}{(-2 - (-6)) \\cdot 1\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9 + 11}{(-2 - (-6)) \\cdot 1\\frac{2}{5}})^2",
["typ"] = "mocnina" } }
seed: DNr18RSmMRxNHTbO0K95_0.44, bodu=56, $$\frac{10 - (-9)}{\frac{12}{14 + 3\frac{5}{9}}}=\textcolor{white}{27\frac{43}{54}}$$return {
["body"] = 56,
["id"] = "eFqfLm_1106_0531",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 27.796296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1501,
["jmenovatel"] = 54 },
["render"] = "\\frac{1501}{54}",
["typ"] = "cislo" },
["tex"] = "27\\frac{43}{54}",
["x"] = 27,
["y"] = 43,
["z"] = 54 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - (-9)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "14 + 3\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "\\frac{12}{14 + 3\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10 - (-9)}{\\frac{12}{14 + 3\\frac{5}{9}}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.45, bodu=64, $$5 - (-12) - (\frac{-5}{12})^2 - 3\frac{3}{9}=\textcolor{white}{13\frac{71}{144}}$$return {
["body"] = 64,
["id"] = "qWcxnq_1106_0531",
["obtiznost"] = 0.7176,
["reseni"] = {
["float"] = 13.493055555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1943,
["jmenovatel"] = 144 },
["render"] = "\\frac{5829}{432}",
["typ"] = "cislo" },
["tex"] = "13\\frac{71}{144}",
["x"] = 13,
["y"] = 71,
["z"] = 144 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "5 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5}{12})^2",
["typ"] = "mocnina" },
["render"] = "5 - (-12) - (\\frac{-5}{12})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "5 - (-12) - (\\frac{-5}{12})^2 - 3\\frac{3}{9}",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.46, bodu=108, $$\frac{3\frac{5}{8}}{\frac{-15}{-11} \cdot 2\frac{3}{7} - 1\frac{3}{5}}=\textcolor{white}{2\frac{621}{5272}}$$return {
["body"] = 108,
["id"] = "9r4s7V_1106_0531",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 2.1177921092564,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11165,
["jmenovatel"] = 5272 },
["render"] = "\\frac{11165}{5272}",
["typ"] = "cislo" },
["tex"] = "2\\frac{621}{5272}",
["x"] = 2,
["y"] = 621,
["z"] = 5272 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-11} \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-11} \\cdot 2\\frac{3}{7} - 1\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{8}}{\\frac{-15}{-11} \\cdot 2\\frac{3}{7} - 1\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.47, bodu=38, $$\frac{9 \cdot -11 \cdot -14}{12}=\textcolor{white}{115{,}5}$$return {
["body"] = 38,
["id"] = "6fGXp2_1106_0531",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 115.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 2 },
["render"] = "\\frac{1386}{12}",
["typ"] = "cislo" },
["tex"] = "115\\frac{1}{2}",
["tex_float"] = "115{,}5",
["x"] = 115,
["y"] = 1,
["z"] = 2 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -11 \\cdot -14}{12}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.48, bodu=60, $$\frac{11}{9 + (-9) - \frac{4\frac{3}{11}}{14}}=\textcolor{white}{-36\frac{2}{47}}$$return {
["body"] = 60,
["id"] = "EYgUHV_1106_0531",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -36.042553191489,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1694,
["jmenovatel"] = 47 },
["render"] = "\\frac{1694}{-47}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{2}{47}",
["x"] = -36,
["y"] = 2,
["z"] = 47 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{14}",
["typ"] = "lomeno" },
["render"] = "9 + (-9) - \\frac{4\\frac{3}{11}}{14}",
["typ"] = "minus" },
["render"] = "\\frac{11}{9 + (-9) - \\frac{4\\frac{3}{11}}{14}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.49, bodu=61, $$\frac{13 + 13 + 4\frac{5}{8}}{7} \cdot -7=\textcolor{white}{-30{,}625}$$return {
["body"] = 61,
["id"] = "xYjegS_1106_0531",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -30.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 8 },
["render"] = "\\frac{-245}{8}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{5}{8}",
["tex_float"] = "-30{,}625",
["x"] = -30,
["y"] = 5,
["z"] = 8 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "13 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "13 + 13 + 4\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 13 + 4\\frac{5}{8}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 13 + 4\\frac{5}{8}}{7} \\cdot -7",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.5, bodu=78, $$7 \cdot 7 + (-9 + (-9))^2 + 14 - 2\frac{3}{8}=\textcolor{white}{384{,}625}$$return {
["body"] = 78,
["id"] = "hi0KgI_1106_0531",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 384.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3077,
["jmenovatel"] = 8 },
["render"] = "\\frac{3077}{8}",
["typ"] = "cislo" },
["tex"] = "384\\frac{5}{8}",
["tex_float"] = "384{,}625",
["x"] = 384,
["y"] = 5,
["z"] = 8 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-9 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot 7 + (-9 + (-9))^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "14 - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "7 \\cdot 7 + (-9 + (-9))^2 + 14 - 2\\frac{3}{8}",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.51, bodu=88, $$-8 - \frac{13}{4\frac{3}{7} + 12} - (1\frac{5}{10} + (-13))=\textcolor{white}{2\frac{163}{230}}$$return {
["body"] = 88,
["id"] = "bsiMtt_1106_0531",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 2.7086956521739,
["objekt"] = {
["hodnota"] = {
["citatel"] = 623,
["jmenovatel"] = 230 },
["render"] = "\\frac{623}{230}",
["typ"] = "cislo" },
["tex"] = "2\\frac{163}{230}",
["x"] = 2,
["y"] = 163,
["z"] = 230 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 12",
["typ"] = "plus" },
["render"] = "\\frac{13}{4\\frac{3}{7} + 12}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{13}{4\\frac{3}{7} + 12}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + (-13)",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{10} + (-13))",
["typ"] = "zavorka" },
["render"] = "-8 - \\frac{13}{4\\frac{3}{7} + 12} - (1\\frac{5}{10} + (-13))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.52, bodu=80, $$14 - (-8 - 10)^2 \cdot 9 \cdot 1\frac{1}{4}=\textcolor{white}{-3631}$$return {
["body"] = 80,
["id"] = "oa6Tg3_1106_0531",
["obtiznost"] = 0.85,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3631,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3631}{1}",
["typ"] = "cislo" },
["tex"] = "-3631",
["tex_float"] = "-3631",
["x"] = -3631 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "(-8 - 10)^2 \\cdot 9 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "14 - (-8 - 10)^2 \\cdot 9 \\cdot 1\\frac{1}{4}",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.53, bodu=66, $$-4 \cdot 5 - 1\frac{4}{7} \cdot (14 + 13)=\textcolor{white}{-62\frac{3}{7}}$$return {
["body"] = 66,
["id"] = "euIR69_1106_0531",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -62.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -437,
["jmenovatel"] = 7 },
["render"] = "\\frac{-437}{7}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{3}{7}",
["x"] = -62,
["y"] = 3,
["z"] = 7 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 + 13",
["typ"] = "plus" },
["render"] = "(14 + 13)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{7} \\cdot (14 + 13)",
["typ"] = "krat" },
["render"] = "-4 \\cdot 5 - 1\\frac{4}{7} \\cdot (14 + 13)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.54, bodu=92, $$1\frac{5}{11} \cdot (5 + (7 - 3\frac{5}{12}) \cdot 11)=\textcolor{white}{64\frac{20}{33}}$$return {
["body"] = 92,
["id"] = "mR8fKU_1106_0531",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 64.606060606061,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2132,
["jmenovatel"] = 33 },
["render"] = "\\frac{8528}{132}",
["typ"] = "cislo" },
["tex"] = "64\\frac{20}{33}",
["x"] = 64,
["y"] = 20,
["z"] = 33 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(7 - 3\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(7 - 3\\frac{5}{12}) \\cdot 11",
["typ"] = "krat" },
["render"] = "5 + (7 - 3\\frac{5}{12}) \\cdot 11",
["typ"] = "plus" },
["render"] = "(5 + (7 - 3\\frac{5}{12}) \\cdot 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} \\cdot (5 + (7 - 3\\frac{5}{12}) \\cdot 11)",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.55, bodu=93, $$\frac{3\frac{5}{10}}{4\frac{3}{6}} \cdot (11 + 11) - (-17)=\textcolor{white}{34\frac{1}{9}}$$return {
["body"] = 93,
["id"] = "fLkuzE_1106_0531",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 34.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 9 },
["render"] = "\\frac{307}{9}",
["typ"] = "cislo" },
["tex"] = "34\\frac{1}{9}",
["x"] = 34,
["y"] = 1,
["z"] = 9 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 + 11",
["typ"] = "plus" },
["render"] = "(11 + 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{3}{6}} \\cdot (11 + 11)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{3}{6}} \\cdot (11 + 11) - (-17)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.56, bodu=110, $$(\frac{8}{15})^2 \cdot 3\frac{2}{7} \cdot (-16 - 4\frac{4}{8})=\textcolor{white}{-19\frac{251}{1575}}$$return {
["body"] = 110,
["id"] = "sPuJ4L_1106_0531",
["obtiznost"] = 1.0756,
["reseni"] = {
["float"] = -19.159365079365,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30176,
["jmenovatel"] = 1575 },
["render"] = "\\frac{-60352}{3150}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{251}{1575}",
["x"] = -19,
["y"] = 251,
["z"] = 1575 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.56",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{15})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-16 - 4\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(-16 - 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{7} \\cdot (-16 - 4\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "(\\frac{8}{15})^2 \\cdot 3\\frac{2}{7} \\cdot (-16 - 4\\frac{4}{8})",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.57, bodu=24, $$14 + 4 + 12 - (-16) + 13 - (10 + (-10))=\textcolor{white}{59}$$return {
["body"] = 24,
["id"] = "qyYD5i_1106_0531",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 1 },
["render"] = "\\frac{59}{1}",
["typ"] = "cislo" },
["tex"] = "59",
["x"] = 59 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 - (-16) + 13",
["typ"] = "plus" },
["render"] = "4 + 12 - (-16) + 13",
["typ"] = "plus" },
["render"] = "14 + 4 + 12 - (-16) + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 + (-10)",
["typ"] = "plus" },
["render"] = "(10 + (-10))",
["typ"] = "zavorka" },
["render"] = "14 + 4 + 12 - (-16) + 13 - (10 + (-10))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.58, bodu=49, $$-2 - (-11 + 8 + \frac{-10}{13} - (-13))=\textcolor{white}{-11\frac{3}{13}}$$return {
["body"] = 49,
["id"] = "UfquzX_1106_0531",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -11.230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146,
["jmenovatel"] = 13 },
["render"] = "\\frac{-146}{13}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{3}{13}",
["x"] = -11,
["y"] = 3,
["z"] = 13 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{13}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{-10}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 + \\frac{-10}{13} - (-13)",
["typ"] = "minus" },
["render"] = "-11 + 8 + \\frac{-10}{13} - (-13)",
["typ"] = "plus" },
["render"] = "(-11 + 8 + \\frac{-10}{13} - (-13))",
["typ"] = "zavorka" },
["render"] = "-2 - (-11 + 8 + \\frac{-10}{13} - (-13))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.59, bodu=73, $$11 \cdot (-11 - 18 + 2\frac{2}{9} - 16)=\textcolor{white}{-470\frac{5}{9}}$$return {
["body"] = 73,
["id"] = "chLVBD_1106_0531",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -470.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4235,
["jmenovatel"] = 9 },
["render"] = "\\frac{-4235}{9}",
["typ"] = "cislo" },
["tex"] = "-470\\frac{5}{9}",
["x"] = -470,
["y"] = 5,
["z"] = 9 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-11 - 18",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 16",
["typ"] = "minus" },
["render"] = "-11 - 18 + 2\\frac{2}{9} - 16",
["typ"] = "plus" },
["render"] = "(-11 - 18 + 2\\frac{2}{9} - 16)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (-11 - 18 + 2\\frac{2}{9} - 16)",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.6, bodu=100, $$(2\frac{1}{6} - (-5 \cdot 13)) \cdot -8 - 2\frac{3}{6}=\textcolor{white}{-539\frac{5}{6}}$$return {
["body"] = 100,
["id"] = "xTi3Gn_1106_0531",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -539.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3239,
["jmenovatel"] = 6 },
["render"] = "\\frac{-3239}{6}",
["typ"] = "cislo" },
["tex"] = "-539\\frac{5}{6}",
["x"] = -539,
["y"] = 5,
["z"] = 6 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 13",
["typ"] = "krat" },
["render"] = "2\\frac{1}{6} - (-5 \\cdot 13)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - (-5 \\cdot 13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{6} - (-5 \\cdot 13)) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{6} - (-5 \\cdot 13)) \\cdot -8 - 2\\frac{3}{6}",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.61, bodu=26, $$(7 + (-11)) \cdot 8 + (-13 + 15 \cdot 13)=\textcolor{white}{150}$$return {
["body"] = 26,
["id"] = "gwl2Hs_1106_0531",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 150,
["jmenovatel"] = 1 },
["render"] = "\\frac{150}{1}",
["typ"] = "cislo" },
["tex"] = "150",
["x"] = 150 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 + (-11)",
["typ"] = "plus" },
["render"] = "(7 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(7 + (-11)) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 \\cdot 13",
["typ"] = "krat" },
["render"] = "-13 + 15 \\cdot 13",
["typ"] = "plus" },
["render"] = "(7 + (-11)) \\cdot 8 + (-13 + 15 \\cdot 13)",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.62, bodu=80, $$5 \cdot ((-16 - (-16))^4 - 9)^2 - (19 + 3\frac{4}{8})=\textcolor{white}{382{,}5}$$return {
["body"] = 80,
["id"] = "wVw1O8_1106_0531",
["obtiznost"] = 0.8532,
["reseni"] = {
["float"] = 382.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 765,
["jmenovatel"] = 2 },
["render"] = "\\frac{765}{2}",
["typ"] = "cislo" },
["tex"] = "382\\frac{1}{2}",
["tex_float"] = "382{,}5",
["x"] = 382,
["y"] = 1,
["z"] = 2 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-16 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-16 - (-16))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-16 - (-16))^4 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((-16 - (-16))^4 - 9)^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot ((-16 - (-16))^4 - 9)^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "19 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(19 + 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot ((-16 - (-16))^4 - 9)^2 - (19 + 3\\frac{4}{8})",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.63, bodu=55, $$16 - \frac{-8}{-14} + (-14 \cdot 6) - (-10)=\textcolor{white}{-58\frac{4}{7}}$$return {
["body"] = 55,
["id"] = "80ltmU_1106_0531",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -58.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -410,
["jmenovatel"] = 7 },
["render"] = "\\frac{-410}{7}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{4}{7}",
["x"] = -58,
["y"] = 4,
["z"] = 7 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["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"] = "16 - \\frac{-8}{-14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 6",
["typ"] = "krat" },
["render"] = "16 - \\frac{-8}{-14} + (-14 \\cdot 6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "16 - \\frac{-8}{-14} + (-14 \\cdot 6) - (-10)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.64, bodu=134, $$9 - 2\frac{5}{10} - \frac{4\frac{4}{12} - 4\frac{1}{9}}{11 + 16}=\textcolor{white}{6\frac{239}{486}}$$return {
["body"] = 134,
["id"] = "u21HpU_1106_0531",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 6.4917695473251,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3155,
["jmenovatel"] = 486 },
["render"] = "\\frac{3155}{486}",
["typ"] = "cislo" },
["tex"] = "6\\frac{239}{486}",
["x"] = 6,
["y"] = 239,
["z"] = 486 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 4\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "11 + 16",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{12} - 4\\frac{1}{9}}{11 + 16}",
["typ"] = "lomeno" },
["render"] = "9 - 2\\frac{5}{10} - \\frac{4\\frac{4}{12} - 4\\frac{1}{9}}{11 + 16}",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.65, bodu=106, $$(-16 - \frac{13}{3\frac{1}{7}}) \cdot 2\frac{1}{5} \cdot -11=\textcolor{white}{487{,}3}$$return {
["body"] = 106,
["id"] = "nHDHk8_1106_0531",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 487.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4873,
["jmenovatel"] = 10 },
["render"] = "\\frac{53603}{110}",
["typ"] = "cislo" },
["tex"] = "487\\frac{3}{10}",
["tex_float"] = "487{,}3",
["x"] = 487,
["y"] = 3,
["z"] = 10 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "-16 - \\frac{13}{3\\frac{1}{7}}",
["typ"] = "minus" },
["render"] = "(-16 - \\frac{13}{3\\frac{1}{7}})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot -11",
["typ"] = "krat" },
["render"] = "(-16 - \\frac{13}{3\\frac{1}{7}}) \\cdot 2\\frac{1}{5} \\cdot -11",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.66, bodu=58, $$\frac{11 + 14}{\frac{(-13 + (-11)) \cdot -6}{-11}}=\textcolor{white}{-1\frac{131}{144}}$$return {
["body"] = 58,
["id"] = "Ny3ybQ_1106_0531",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -1.9097222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -275,
["jmenovatel"] = 144 },
["render"] = "\\frac{275}{-144}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{131}{144}",
["x"] = -1,
["y"] = 131,
["z"] = 144 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "11 + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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"] = "(-13 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(-13 + (-11)) \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + (-11)) \\cdot -6}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 + 14}{\\frac{(-13 + (-11)) \\cdot -6}{-11}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.67, bodu=68, $$(13 + (13 - 12)^3)^2 \cdot \frac{10}{-5 - 16}=\textcolor{white}{-93\frac{1}{3}}$$return {
["body"] = 68,
["id"] = "Yzc3Nx_1106_0531",
["obtiznost"] = 0.7496,
["reseni"] = {
["float"] = -93.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1960}{21}",
["typ"] = "cislo" },
["tex"] = "-93\\frac{1}{3}",
["x"] = -93,
["y"] = 1,
["z"] = 3 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.67",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 12)^3",
["typ"] = "mocnina" },
["render"] = "13 + (13 - 12)^3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + (13 - 12)^3)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-5 - 16",
["typ"] = "minus" },
["render"] = "\\frac{10}{-5 - 16}",
["typ"] = "lomeno" },
["render"] = "(13 + (13 - 12)^3)^2 \\cdot \\frac{10}{-5 - 16}",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.68, bodu=111, $$20 - (4\frac{1}{10} + \frac{-11}{4\frac{4}{11}} \cdot (-18 - 10))=\textcolor{white}{-54\frac{41}{60}}$$return {
["body"] = 111,
["id"] = "AHrkjf_1106_0531",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -54.683333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3281,
["jmenovatel"] = 60 },
["render"] = "\\frac{-3281}{60}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{41}{60}",
["x"] = -54,
["y"] = 41,
["z"] = 60 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-18 - 10",
["typ"] = "minus" },
["render"] = "(-18 - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{4\\frac{4}{11}} \\cdot (-18 - 10)",
["typ"] = "krat" },
["render"] = "4\\frac{1}{10} + \\frac{-11}{4\\frac{4}{11}} \\cdot (-18 - 10)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{10} + \\frac{-11}{4\\frac{4}{11}} \\cdot (-18 - 10))",
["typ"] = "zavorka" },
["render"] = "20 - (4\\frac{1}{10} + \\frac{-11}{4\\frac{4}{11}} \\cdot (-18 - 10))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.69, bodu=112, $$\frac{-6}{\frac{4\frac{4}{5} + 9}{-4 + 1\frac{4}{6} + 9}}=\textcolor{white}{-2\frac{62}{69}}$$return {
["body"] = 112,
["id"] = "iu5vkI_1106_0531",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -2.8985507246377,
["objekt"] = {
["hodnota"] = {
["citatel"] = -200,
["jmenovatel"] = 69 },
["render"] = "\\frac{-600}{207}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{62}{69}",
["x"] = -2,
["y"] = 62,
["z"] = 69 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{5} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{4}{6} + 9",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{5} + 9}{-4 + 1\\frac{4}{6} + 9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{\\frac{4\\frac{4}{5} + 9}{-4 + 1\\frac{4}{6} + 9}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.7, bodu=105, $$\frac{\frac{9}{2\frac{3}{9}}}{(-6 + 13)^3 + (-18)} + (-9)=\textcolor{white}{-8\frac{2248}{2275}}$$return {
["body"] = 105,
["id"] = "gAJPDf_1106_0531",
["obtiznost"] = 1.0376,
["reseni"] = {
["float"] = -8.9881318681319,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20448,
["jmenovatel"] = 2275 },
["render"] = "\\frac{-20448}{2275}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{2248}{2275}",
["x"] = -8,
["y"] = 2248,
["z"] = 2275 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-6 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-6 + 13)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(-6 + 13)^3 + (-18)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{9}{2\\frac{3}{9}}}{(-6 + 13)^3 + (-18)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{2\\frac{3}{9}}}{(-6 + 13)^3 + (-18)} + (-9)",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.71, bodu=144, $$\frac{1\frac{2}{6}}{4\frac{5}{12} \cdot -7} \cdot -12 \cdot 4\frac{2}{8}=\textcolor{white}{2\frac{74}{371}}$$return {
["body"] = 144,
["id"] = "PCFOom_1106_0531",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 2.199460916442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 816,
["jmenovatel"] = 371 },
["render"] = "\\frac{816}{371}",
["typ"] = "cislo" },
["tex"] = "2\\frac{74}{371}",
["x"] = 2,
["y"] = 74,
["z"] = 371 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{6}}{4\\frac{5}{12} \\cdot -7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{6}}{4\\frac{5}{12} \\cdot -7} \\cdot -12 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.72, bodu=116, $$\frac{\frac{-9 - 3\frac{2}{7}}{\frac{-12}{2\frac{1}{6}}}}{-17}=\textcolor{white}{-\frac{559}{4284}}$$return {
["body"] = 116,
["id"] = "L6vz8y_1106_0531",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -0.13048552754435,
["objekt"] = {
["hodnota"] = {
["citatel"] = -559,
["jmenovatel"] = 4284 },
["render"] = "\\frac{559}{-4284}",
["typ"] = "cislo" },
["tex"] = "-\\frac{559}{4284}",
["y"] = -559,
["z"] = 4284 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9 - 3\\frac{2}{7}}{\\frac{-12}{2\\frac{1}{6}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9 - 3\\frac{2}{7}}{\\frac{-12}{2\\frac{1}{6}}}}{-17}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.73, bodu=90, $$\frac{-7 + (-9 + 4\frac{5}{13} + \frac{11}{-14})}{11}=\textcolor{white}{-1\frac{255}{2002}}$$return {
["body"] = 90,
["id"] = "1Pdzme_1106_0531",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -1.1273726273726,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2257,
["jmenovatel"] = 2002 },
["render"] = "\\frac{-2257}{2002}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{255}{2002}",
["x"] = -1,
["y"] = 255,
["z"] = 2002 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{5}{13}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-14}",
["typ"] = "lomeno" },
["render"] = "-9 + 4\\frac{5}{13} + \\frac{11}{-14}",
["typ"] = "plus" },
["render"] = "-7 + (-9 + 4\\frac{5}{13} + \\frac{11}{-14})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + (-9 + 4\\frac{5}{13} + \\frac{11}{-14})}{11}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.74, bodu=181, $$\frac{3\frac{5}{11}}{\frac{4\frac{5}{9} + 1\frac{1}{8} \cdot 5}{3\frac{5}{13} - 11}}=\textcolor{white}{-2\frac{5566}{9529}}$$return {
["body"] = 181,
["id"] = "QsthvK_1106_0531",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -2.5841116591458,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24624,
["jmenovatel"] = 9529 },
["render"] = "\\frac{270864}{-104819}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{5566}{9529}",
["x"] = -2,
["y"] = 5566,
["z"] = 9529 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} \\cdot 5",
["typ"] = "krat" },
["render"] = "4\\frac{5}{9} + 1\\frac{1}{8} \\cdot 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{13} - 11",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{9} + 1\\frac{1}{8} \\cdot 5}{3\\frac{5}{13} - 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{11}}{\\frac{4\\frac{5}{9} + 1\\frac{1}{8} \\cdot 5}{3\\frac{5}{13} - 11}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.75, bodu=120, $$(1\frac{2}{6} \cdot -16 \cdot -16 + 2\frac{3}{9}) \cdot -18=\textcolor{white}{-6186}$$return {
["body"] = 120,
["id"] = "zC7M1r_1106_0531",
["obtiznost"] = 1.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6186,
["jmenovatel"] = 1 },
["render"] = "\\frac{-18558}{3}",
["typ"] = "cislo" },
["tex"] = "-6186",
["tex_float"] = "-6186",
["x"] = -6186 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -16",
["typ"] = "krat" },
["render"] = "1\\frac{2}{6} \\cdot -16 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot -16 \\cdot -16 + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{6} \\cdot -16 \\cdot -16 + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{6} \\cdot -16 \\cdot -16 + 2\\frac{3}{9}) \\cdot -18",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.76, bodu=122, $$\frac{1\frac{1}{10} + \frac{-8}{9 \cdot 8}}{4\frac{4}{10}}=\textcolor{white}{\frac{89}{396}}$$return {
["body"] = 122,
["id"] = "YrGj46_1106_0531",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 0.22474747474747,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 396 },
["render"] = "\\frac{445}{1980}",
["typ"] = "cislo" },
["tex"] = "\\frac{89}{396}",
["y"] = 89,
["z"] = 396 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-8}{9 \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{10} + \\frac{-8}{9 \\cdot 8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{10} + \\frac{-8}{9 \\cdot 8}}{4\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.77, bodu=154, $$\frac{1\frac{5}{9}}{\frac{-12}{5}} \cdot 2\frac{2}{5} \cdot 1\frac{3}{10}=\textcolor{white}{-2\frac{1}{45}}$$return {
["body"] = 154,
["id"] = "WfAmQm_1106_0531",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -2.0222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 45 },
["render"] = "\\frac{-2730}{1350}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{45}",
["x"] = -2,
["y"] = 1,
["z"] = 45 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{5}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{9}}{\\frac{-12}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{9}}{\\frac{-12}{5}} \\cdot 2\\frac{2}{5} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.78, bodu=155, $$\frac{1\frac{5}{11} + \frac{13 \cdot 4\frac{2}{8}}{4\frac{2}{7}}}{9}=\textcolor{white}{1\frac{7057}{11880}}$$return {
["body"] = 155,
["id"] = "rn9tmx_1106_0531",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 1.5940235690236,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18937,
["jmenovatel"] = 11880 },
["render"] = "\\frac{18937}{11880}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7057}{11880}",
["x"] = 1,
["y"] = 7057,
["z"] = 11880 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 4\\frac{2}{8}}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} + \\frac{13 \\cdot 4\\frac{2}{8}}{4\\frac{2}{7}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11} + \\frac{13 \\cdot 4\\frac{2}{8}}{4\\frac{2}{7}}}{9}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.79, bodu=190, $$\frac{13}{2\frac{2}{6} - 3\frac{1}{5} - (13 - 1\frac{4}{6}) \cdot 4\frac{1}{7}}=\textcolor{white}{-\frac{1365}{5021}}$$return {
["body"] = 190,
["id"] = "6QPT02_1106_0531",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -0.27185819557857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1365,
["jmenovatel"] = 5021 },
["render"] = "\\frac{1365}{-5021}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1365}{5021}",
["y"] = -1365,
["z"] = 5021 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} - 3\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(13 - 1\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(13 - 1\\frac{4}{6}) \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} - 3\\frac{1}{5} - (13 - 1\\frac{4}{6}) \\cdot 4\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "\\frac{13}{2\\frac{2}{6} - 3\\frac{1}{5} - (13 - 1\\frac{4}{6}) \\cdot 4\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.8, bodu=128, $$(-21 + \frac{3\frac{1}{10}}{-16 \cdot -14}) \cdot 2\frac{5}{11} \cdot 10=\textcolor{white}{-515\frac{283}{2464}}$$return {
["body"] = 128,
["id"] = "KLpxaK_1106_0531",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -515.1148538961,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1269243,
["jmenovatel"] = 2464 },
["render"] = "\\frac{-12692430}{24640}",
["typ"] = "cislo" },
["tex"] = "-515\\frac{283}{2464}",
["x"] = -515,
["y"] = 283,
["z"] = 2464 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.8",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{10}}{-16 \\cdot -14}",
["typ"] = "lomeno" },
["render"] = "-21 + \\frac{3\\frac{1}{10}}{-16 \\cdot -14}",
["typ"] = "plus" },
["render"] = "(-21 + \\frac{3\\frac{1}{10}}{-16 \\cdot -14})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} \\cdot 10",
["typ"] = "krat" },
["render"] = "(-21 + \\frac{3\\frac{1}{10}}{-16 \\cdot -14}) \\cdot 2\\frac{5}{11} \\cdot 10",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.81, bodu=193, $$\frac{2\frac{5}{10}}{-6 \cdot 10 + 1\frac{1}{8}} - (4\frac{1}{4} - 2\frac{1}{9})=\textcolor{white}{-2\frac{1025}{5652}}$$return {
["body"] = 193,
["id"] = "akAeBQ_1106_0531",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = -2.1813517338995,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12329,
["jmenovatel"] = 5652 },
["render"] = "\\frac{-36987}{16956}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1025}{5652}",
["x"] = -2,
["y"] = 1025,
["z"] = 5652 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 10 + 1\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{5}{10}}{-6 \\cdot 10 + 1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{4} - 2\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{10}}{-6 \\cdot 10 + 1\\frac{1}{8}} - (4\\frac{1}{4} - 2\\frac{1}{9})",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.82, bodu=195, $$\frac{1\frac{4}{12} \cdot 4\frac{4}{7} + (-21) - (1\frac{4}{9} - 18)}{3\frac{2}{7}}=\textcolor{white}{\frac{104}{207}}$$return {
["body"] = 195,
["id"] = "rURLdI_1106_0531",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 0.5024154589372,
["objekt"] = {
["hodnota"] = {
["citatel"] = 104,
["jmenovatel"] = 207 },
["render"] = "\\frac{728}{1449}",
["typ"] = "cislo" },
["tex"] = "\\frac{104}{207}",
["y"] = 104,
["z"] = 207 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} \\cdot 4\\frac{4}{7} + (-21)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 18",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - 18)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{12} \\cdot 4\\frac{4}{7} + (-21) - (1\\frac{4}{9} - 18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12} \\cdot 4\\frac{4}{7} + (-21) - (1\\frac{4}{9} - 18)}{3\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.83, bodu=132, $$18 - 1\frac{2}{6} \cdot 18 \cdot (3\frac{2}{8} + 14 \cdot 8)=\textcolor{white}{-2748}$$return {
["body"] = 132,
["id"] = "jtrmkZ_1106_0531",
["obtiznost"] = 1.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2748,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2748}{1}",
["typ"] = "cislo" },
["tex"] = "-2748",
["tex_float"] = "-2748",
["x"] = -2748 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "14 \\cdot 8",
["typ"] = "krat" },
["render"] = "3\\frac{2}{8} + 14 \\cdot 8",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{8} + 14 \\cdot 8)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{6} \\cdot 18 \\cdot (3\\frac{2}{8} + 14 \\cdot 8)",
["typ"] = "krat" },
["render"] = "18 - 1\\frac{2}{6} \\cdot 18 \\cdot (3\\frac{2}{8} + 14 \\cdot 8)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.84, bodu=234, $$\frac{2\frac{3}{9}}{18} + 1\frac{5}{15} - (\frac{4\frac{1}{4}}{2\frac{2}{9} - 2\frac{2}{11}} + (-18))=\textcolor{white}{-85\frac{313}{432}}$$return {
["body"] = 234,
["id"] = "crRI4o_1106_0531",
["obtiznost"] = 1.84,
["reseni"] = {
["float"] = -85.724537037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37033,
["jmenovatel"] = 432 },
["render"] = "\\frac{-74066}{864}",
["typ"] = "cislo" },
["tex"] = "-85\\frac{313}{432}",
["x"] = -85,
["y"] = 313,
["z"] = 432 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9}}{18} + 1\\frac{5}{15}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 2\\frac{2}{11}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{4}}{2\\frac{2}{9} - 2\\frac{2}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{4}}{2\\frac{2}{9} - 2\\frac{2}{11}} + (-18)",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{1}{4}}{2\\frac{2}{9} - 2\\frac{2}{11}} + (-18))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{3}{9}}{18} + 1\\frac{5}{15} - (\\frac{4\\frac{1}{4}}{2\\frac{2}{9} - 2\\frac{2}{11}} + (-18))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.85, bodu=167, $$\frac{2\frac{5}{8}}{2\frac{4}{13}} \cdot \frac{9 - \frac{-15}{7}}{2\frac{4}{10}}=\textcolor{white}{5\frac{9}{32}}$$return {
["body"] = 167,
["id"] = "7mg89m_1106_0531",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 5.28125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 32 },
["render"] = "\\frac{5915}{1120}",
["typ"] = "cislo" },
["tex"] = "5\\frac{9}{32}",
["x"] = 5,
["y"] = 9,
["z"] = 32 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8}}{2\\frac{4}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{7}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{-15}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{9 - \\frac{-15}{7}}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{8}}{2\\frac{4}{13}} \\cdot \\frac{9 - \\frac{-15}{7}}{2\\frac{4}{10}}",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.86, bodu=202, $$21 - (\frac{12}{4\frac{4}{7}})^2 - 3\frac{1}{3} + 12 \cdot 2\frac{1}{2}=\textcolor{white}{40\frac{149}{192}}$$return {
["body"] = 202,
["id"] = "SJpoEU_1106_0531",
["obtiznost"] = 1.662,
["reseni"] = {
["float"] = 40.776041666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7829,
["jmenovatel"] = 192 },
["render"] = "\\frac{7829}{192}",
["typ"] = "cislo" },
["tex"] = "40\\frac{149}{192}",
["x"] = 40,
["y"] = 149,
["z"] = 192 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{4\\frac{4}{7}})^2",
["typ"] = "mocnina" },
["render"] = "21 - (\\frac{12}{4\\frac{4}{7}})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "21 - (\\frac{12}{4\\frac{4}{7}})^2 - 3\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "21 - (\\frac{12}{4\\frac{4}{7}})^2 - 3\\frac{1}{3} + 12 \\cdot 2\\frac{1}{2}",
["typ"] = "plus" } }
seed: DNr18RSmMRxNHTbO0K95_0.87, bodu=161, $$\frac{\frac{4\frac{3}{11}}{12 \cdot 3\frac{3}{11}}}{(18 - (13 + (-8))^2)^3}=\textcolor{white}{-\frac{47}{148176}}$$return {
["body"] = 161,
["id"] = "YaTBg7_1106_0531",
["obtiznost"] = 1.418,
["reseni"] = {
["float"] = -0.00031719036821078,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 148176 },
["render"] = "\\frac{47}{-148176}",
["typ"] = "cislo" },
["tex"] = "-\\frac{47}{148176}",
["y"] = -47,
["z"] = 148176 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{3}{11}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{11}}{12 \\cdot 3\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + (-8))^2",
["typ"] = "mocnina" },
["render"] = "18 - (13 + (-8))^2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(18 - (13 + (-8))^2)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{4\\frac{3}{11}}{12 \\cdot 3\\frac{3}{11}}}{(18 - (13 + (-8))^2)^3}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.88, bodu=172, $$-4 - (\frac{4\frac{5}{10}}{2\frac{5}{9}} - (2\frac{4}{10} + (8 - (-5) - 14)^2))=\textcolor{white}{-2\frac{83}{230}}$$return {
["body"] = 172,
["id"] = "ONlV3y_1106_0531",
["obtiznost"] = 1.4808,
["reseni"] = {
["float"] = -2.3608695652174,
["objekt"] = {
["hodnota"] = {
["citatel"] = -543,
["jmenovatel"] = 230 },
["render"] = "\\frac{-543}{230}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{83}{230}",
["x"] = -2,
["y"] = 83,
["z"] = 230 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - (-5) - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-5) - 14)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{10} + (8 - (-5) - 14)^2",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{10} + (8 - (-5) - 14)^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{5}{10}}{2\\frac{5}{9}} - (2\\frac{4}{10} + (8 - (-5) - 14)^2)",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{5}{10}}{2\\frac{5}{9}} - (2\\frac{4}{10} + (8 - (-5) - 14)^2))",
["typ"] = "zavorka" },
["render"] = "-4 - (\\frac{4\\frac{5}{10}}{2\\frac{5}{9}} - (2\\frac{4}{10} + (8 - (-5) - 14)^2))",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.89, bodu=142, $$11 \cdot (3\frac{1}{8} \cdot (3\frac{2}{6} + (-18)) \cdot 18 + (-11 - (-13))^2)=\textcolor{white}{-9031}$$return {
["body"] = 142,
["id"] = "8ZAGWI_1106_0531",
["obtiznost"] = 1.292,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9031,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9031}{1}",
["typ"] = "cislo" },
["tex"] = "-9031",
["tex_float"] = "-9031",
["x"] = -9031 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + (-18)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{6} + (-18))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{8} \\cdot (3\\frac{2}{6} + (-18))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} \\cdot (3\\frac{2}{6} + (-18)) \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - (-13))^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{8} \\cdot (3\\frac{2}{6} + (-18)) \\cdot 18 + (-11 - (-13))^2",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{8} \\cdot (3\\frac{2}{6} + (-18)) \\cdot 18 + (-11 - (-13))^2)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (3\\frac{1}{8} \\cdot (3\\frac{2}{6} + (-18)) \\cdot 18 + (-11 - (-13))^2)",
["typ"] = "krat" } }
seed: DNr18RSmMRxNHTbO0K95_0.9, bodu=176, $$\frac{3\frac{4}{7} \cdot -12}{\frac{(\frac{-9}{-12})^2}{2\frac{2}{6}} - 1\frac{1}{6}}=\textcolor{white}{46\frac{94}{311}}$$return {
["body"] = 176,
["id"] = "81rLSP_1106_0531",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 46.302250803859,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14400,
["jmenovatel"] = 311 },
["render"] = "\\frac{-100800}{-2177}",
["typ"] = "cislo" },
["tex"] = "46\\frac{94}{311}",
["x"] = 46,
["y"] = 94,
["z"] = 311 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-9}{-12})^2}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-9}{-12})^2}{2\\frac{2}{6}} - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{7} \\cdot -12}{\\frac{(\\frac{-9}{-12})^2}{2\\frac{2}{6}} - 1\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.91, bodu=176, $$\frac{\frac{1\frac{5}{9}}{-19}}{4\frac{4}{9} \cdot (15 - (-21) + 1\frac{5}{7})}=\textcolor{white}{-\frac{49}{100320}}$$return {
["body"] = 176,
["id"] = "bOkXLT_1106_0531",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -0.0004884370015949,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 100320 },
["render"] = "\\frac{-294}{601920}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{100320}",
["y"] = -49,
["z"] = 100320 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "15 - (-21)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "15 - (-21) + 1\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(15 - (-21) + 1\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{9} \\cdot (15 - (-21) + 1\\frac{5}{7})",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{5}{9}}{-19}}{4\\frac{4}{9} \\cdot (15 - (-21) + 1\\frac{5}{7})}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.92, bodu=146, $$\frac{13 + 2\frac{3}{9} \cdot 3\frac{2}{10}}{\frac{-16}{-14} + (-10)}=\textcolor{white}{-2\frac{289}{930}}$$return {
["body"] = 146,
["id"] = "aEuZXK_1106_0531",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -2.310752688172,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2149,
["jmenovatel"] = 930 },
["render"] = "\\frac{2149}{-930}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{289}{930}",
["x"] = -2,
["y"] = 289,
["z"] = 930 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 3\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "13 + 2\\frac{3}{9} \\cdot 3\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-14} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{13 + 2\\frac{3}{9} \\cdot 3\\frac{2}{10}}{\\frac{-16}{-14} + (-10)}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.93, bodu=180, $$1\frac{1}{7} + (-10 \cdot \frac{-3}{-8}) - \frac{1\frac{5}{8}}{2\frac{5}{12}}=\textcolor{white}{-3\frac{227}{812}}$$return {
["body"] = 180,
["id"] = "Rvasd3_1106_0531",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -3.2795566502463,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2663,
["jmenovatel"] = 812 },
["render"] = "\\frac{-5326}{1624}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{227}{812}",
["x"] = -3,
["y"] = 227,
["z"] = 812 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-8}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{-3}{-8}",
["typ"] = "krat" },
["render"] = "1\\frac{1}{7} + (-10 \\cdot \\frac{-3}{-8})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{7} + (-10 \\cdot \\frac{-3}{-8}) - \\frac{1\\frac{5}{8}}{2\\frac{5}{12}}",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.94, bodu=253, $$\frac{\frac{\frac{3\frac{2}{11}}{2\frac{4}{5}}}{3\frac{4}{6}} + 17}{4\frac{1}{3} \cdot 4\frac{3}{9}}=\textcolor{white}{\frac{37701}{40898}}$$return {
["body"] = 253,
["id"] = "SSI1VW_1106_0531",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = 0.92182991833341,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37701,
["jmenovatel"] = 40898 },
["render"] = "\\frac{37701}{40898}",
["typ"] = "cislo" },
["tex"] = "\\frac{37701}{40898}",
["y"] = 37701,
["z"] = 40898 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{11}}{2\\frac{4}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{11}}{2\\frac{4}{5}}}{3\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{11}}{2\\frac{4}{5}}}{3\\frac{4}{6}} + 17",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{2}{11}}{2\\frac{4}{5}}}{3\\frac{4}{6}} + 17}{4\\frac{1}{3} \\cdot 4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.95, bodu=206, $$\frac{2\frac{4}{9} \cdot (\frac{-12}{(-19 + 16)^4})^2 \cdot 11}{2\frac{3}{11}}=\textcolor{white}{\frac{42592}{164025}}$$return {
["body"] = 206,
["id"] = "Gh2oCV_1106_0531",
["obtiznost"] = 1.6808,
["reseni"] = {
["float"] = 0.2596677335772,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42592,
["jmenovatel"] = 164025 },
["render"] = "\\frac{42592}{164025}",
["typ"] = "cislo" },
["tex"] = "\\frac{42592}{164025}",
["y"] = 42592,
["z"] = 164025 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-19 + 16",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-19 + 16)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-12}{(-19 + 16)^4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{(-19 + 16)^4})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{9} \\cdot (\\frac{-12}{(-19 + 16)^4})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot (\\frac{-12}{(-19 + 16)^4})^2 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} \\cdot (\\frac{-12}{(-19 + 16)^4})^2 \\cdot 11}{2\\frac{3}{11}}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.96, bodu=256, $$\frac{3\frac{1}{6} \cdot 1\frac{4}{10} + 2\frac{1}{10} \cdot 2\frac{1}{6}}{2\frac{2}{4} \cdot 18}=\textcolor{white}{\frac{539}{2700}}$$return {
["body"] = 256,
["id"] = "v9fjs1_1106_0531",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = 0.19962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 539,
["jmenovatel"] = 2700 },
["render"] = "\\frac{539}{2700}",
["typ"] = "cislo" },
["tex"] = "\\frac{539}{2700}",
["y"] = 539,
["z"] = 2700 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot 1\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{10} \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{6} \\cdot 1\\frac{4}{10} + 2\\frac{1}{10} \\cdot 2\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{6} \\cdot 1\\frac{4}{10} + 2\\frac{1}{10} \\cdot 2\\frac{1}{6}}{2\\frac{2}{4} \\cdot 18}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.97, bodu=205, $$\frac{2\frac{5}{14}}{2\frac{4}{14}} - ((8 + (-6))^4 \cdot 1\frac{1}{12} + (13 + (-9))^4)=\textcolor{white}{-272\frac{29}{96}}$$return {
["body"] = 205,
["id"] = "tT51AR_1106_0531",
["obtiznost"] = 1.6796,
["reseni"] = {
["float"] = -272.30208333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26141,
["jmenovatel"] = 96 },
["render"] = "\\frac{-26141}{96}",
["typ"] = "cislo" },
["tex"] = "-272\\frac{29}{96}",
["x"] = -272,
["y"] = 29,
["z"] = 96 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{14}}{2\\frac{4}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(8 + (-6))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 12 },
["render"] = "1\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "(8 + (-6))^4 \\cdot 1\\frac{1}{12}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(13 + (-9))^4",
["typ"] = "mocnina" },
["render"] = "(8 + (-6))^4 \\cdot 1\\frac{1}{12} + (13 + (-9))^4",
["typ"] = "plus" },
["render"] = "((8 + (-6))^4 \\cdot 1\\frac{1}{12} + (13 + (-9))^4)",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{14}}{2\\frac{4}{14}} - ((8 + (-6))^4 \\cdot 1\\frac{1}{12} + (13 + (-9))^4)",
["typ"] = "minus" } }
seed: DNr18RSmMRxNHTbO0K95_0.98, bodu=97, $$\frac{\frac{-15}{12 \cdot 13}}{15 \cdot -15}=\textcolor{white}{\frac{1}{2340}}$$return {
["body"] = 97,
["id"] = "97rsZg_1106_0531",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 0.00042735042735043,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2340 },
["render"] = "\\frac{-5}{-11700}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2340}",
["y"] = 1,
["z"] = 2340 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{-15}{12 \\cdot 13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "15 \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-15}{12 \\cdot 13}}{15 \\cdot -15}",
["typ"] = "lomeno" } }
seed: DNr18RSmMRxNHTbO0K95_0.99, bodu=157, $$(2\frac{3}{11} + 12) \cdot \frac{12 \cdot -11}{\frac{4\frac{2}{9}}{15}}=\textcolor{white}{-6693\frac{3}{19}}$$return {
["body"] = 157,
["id"] = "S8jY1K_1106_0531",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -6693.1578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127170,
["jmenovatel"] = 19 },
["render"] = "\\frac{-1398870}{209}",
["typ"] = "cislo" },
["tex"] = "-6693\\frac{3}{19}",
["x"] = -6693,
["y"] = 3,
["z"] = 19 },
["seed"] = "DNr18RSmMRxNHTbO0K95_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} + 12",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{11} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 \\cdot -11}{\\frac{4\\frac{2}{9}}{15}}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{3}{11} + 12) \\cdot \\frac{12 \\cdot -11}{\\frac{4\\frac{2}{9}}{15}}",
["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: 