- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 0PMPMjYo0XTK0mp8bqGp_0, bodu=5, $$4 \cdot 11 \cdot 5=\textcolor{white}{220}$$return {
["body"] = 5,
["id"] = "b7s5tZ_0812_0927",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 220,
["jmenovatel"] = 1 },
["render"] = "\\frac{220}{1}",
["typ"] = "cislo" },
["tex"] = "220",
["x"] = 220 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 11 \\cdot 5",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.01, bodu=10, $$\frac{-8}{-8 \cdot 8}=\textcolor{white}{0{,}125}$$return {
["body"] = 10,
["id"] = "WEkQSZ_0812_0927",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{-8}{-64}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-8}{-8 \\cdot 8}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.02, bodu=10, $$\frac{6 \cdot -3 - (-6)}{8}=\textcolor{white}{-1{,}5}$$return {
["body"] = 10,
["id"] = "S6Weyh_0812_0927",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = -1.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 2 },
["render"] = "\\frac{-12}{8}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{2}",
["tex_float"] = "-1{,}5",
["x"] = -1,
["y"] = 1,
["z"] = 2 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "6 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -3 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot -3 - (-6)}{8}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.03, bodu=10, $$(5 - 5) \cdot (\frac{8}{10})^2=\textcolor{white}{0}$$return {
["body"] = 10,
["id"] = "fkb9r4_0812_0927",
["obtiznost"] = 0.0464,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{25}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.03",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 - 5",
["typ"] = "minus" },
["render"] = "(5 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{10})^2",
["typ"] = "mocnina" },
["render"] = "(5 - 5) \\cdot (\\frac{8}{10})^2",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.04, bodu=10, $$\frac{4}{-8} \cdot 5=\textcolor{white}{-2{,}5}$$return {
["body"] = 10,
["id"] = "CXdLvm_0812_0927",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -2.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 2 },
["render"] = "\\frac{-5}{2}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{2}",
["tex_float"] = "-2{,}5",
["x"] = -2,
["y"] = 1,
["z"] = 2 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.04",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-8} \\cdot 5",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.05, bodu=11, $$\frac{8}{(-3 - 8 - (-7))^2}=\textcolor{white}{0{,}5}$$return {
["body"] = 11,
["id"] = "D9fMTV_0812_0927",
["obtiznost"] = 0.0568,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{8}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-3 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-3 - 8 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-3 - 8 - (-7))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(-3 - 8 - (-7))^2}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.06, bodu=12, $$4 + 7 + (\frac{6}{-7})^2=\textcolor{white}{11\frac{36}{49}}$$return {
["body"] = 12,
["id"] = "48PRSN_0812_0927",
["obtiznost"] = 0.094,
["reseni"] = {
["float"] = 11.734693877551,
["objekt"] = {
["hodnota"] = {
["citatel"] = 575,
["jmenovatel"] = 49 },
["render"] = "\\frac{575}{49}",
["typ"] = "cislo" },
["tex"] = "11\\frac{36}{49}",
["x"] = 11,
["y"] = 36,
["z"] = 49 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-7})^2",
["typ"] = "mocnina" },
["render"] = "7 + (\\frac{6}{-7})^2",
["typ"] = "plus" },
["render"] = "4 + 7 + (\\frac{6}{-7})^2",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.07, bodu=11, $$(6 + \frac{8}{8}) \cdot 6=\textcolor{white}{42}$$return {
["body"] = 11,
["id"] = "Ky4MQy_0812_0927",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 1 },
["render"] = "\\frac{42}{1}",
["typ"] = "cislo" },
["tex"] = "42",
["x"] = 42 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{8}{8}",
["typ"] = "plus" },
["render"] = "(6 + \\frac{8}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(6 + \\frac{8}{8}) \\cdot 6",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.08, bodu=6, $$(7 - 10)^2 \cdot (6 + 10)=\textcolor{white}{144}$$return {
["body"] = 6,
["id"] = "Lzigve_0812_0927",
["obtiznost"] = 0.084,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 1 },
["render"] = "\\frac{144}{1}",
["typ"] = "cislo" },
["tex"] = "144",
["x"] = 144 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["render"] = "(6 + 10)",
["typ"] = "zavorka" },
["render"] = "(7 - 10)^2 \\cdot (6 + 10)",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.09, bodu=24, $$5 - (2\frac{2}{3} + (-4)) \cdot 5=\textcolor{white}{11\frac{2}{3}}$$return {
["body"] = 24,
["id"] = "Cvbyeo_0812_0927",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 11.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 3 },
["render"] = "\\frac{35}{3}",
["typ"] = "cislo" },
["tex"] = "11\\frac{2}{3}",
["x"] = 11,
["y"] = 2,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + (-4)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{3} + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{3} + (-4)) \\cdot 5",
["typ"] = "krat" },
["render"] = "5 - (2\\frac{2}{3} + (-4)) \\cdot 5",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.1, bodu=24, $$\frac{6 \cdot 4\frac{4}{9}}{-8}=\textcolor{white}{-3\frac{1}{3}}$$return {
["body"] = 24,
["id"] = "KdMhVW_0812_0927",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 3 },
["render"] = "\\frac{80}{-24}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{3}",
["x"] = -3,
["y"] = 1,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 4\\frac{4}{9}}{-8}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.11, bodu=25, $$(8 + \frac{-8}{1\frac{2}{6}})^2 + 9=\textcolor{white}{13}$$return {
["body"] = 25,
["id"] = "v0Os0e_0812_0927",
["obtiznost"] = 0.312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{13}{1}",
["typ"] = "cislo" },
["tex"] = "13",
["tex_float"] = "13",
["x"] = 13 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{-8}{1\\frac{2}{6}}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + \\frac{-8}{1\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(8 + \\frac{-8}{1\\frac{2}{6}})^2 + 9",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.12, bodu=26, $$(-9 + \frac{-7}{4\frac{1}{3}}) \cdot -7=\textcolor{white}{74\frac{4}{13}}$$return {
["body"] = 26,
["id"] = "Uv73qR_0812_0927",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 74.307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 966,
["jmenovatel"] = 13 },
["render"] = "\\frac{966}{13}",
["typ"] = "cislo" },
["tex"] = "74\\frac{4}{13}",
["x"] = 74,
["y"] = 4,
["z"] = 13 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{-7}{4\\frac{1}{3}}",
["typ"] = "plus" },
["render"] = "(-9 + \\frac{-7}{4\\frac{1}{3}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(-9 + \\frac{-7}{4\\frac{1}{3}}) \\cdot -7",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.13, bodu=7, $$(9 + 5) \cdot (-6 - (-5 + 5))=\textcolor{white}{-84}$$return {
["body"] = 7,
["id"] = "twgTx9_0812_0927",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 1 },
["render"] = "\\frac{-84}{1}",
["typ"] = "cislo" },
["tex"] = "-84",
["tex_float"] = "-84",
["x"] = -84 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["render"] = "(9 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 + 5",
["typ"] = "plus" },
["render"] = "(-5 + 5)",
["typ"] = "zavorka" },
["render"] = "-6 - (-5 + 5)",
["typ"] = "minus" },
["render"] = "(-6 - (-5 + 5))",
["typ"] = "zavorka" },
["render"] = "(9 + 5) \\cdot (-6 - (-5 + 5))",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.14, bodu=64, $$9 \cdot (\frac{5}{3\frac{3}{5}})^2=\textcolor{white}{17\frac{13}{36}}$$return {
["body"] = 64,
["id"] = "DrIaci_0812_0927",
["obtiznost"] = 0.7196,
["reseni"] = {
["float"] = 17.361111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 36 },
["render"] = "\\frac{5625}{324}",
["typ"] = "cislo" },
["tex"] = "17\\frac{13}{36}",
["x"] = 17,
["y"] = 13,
["z"] = 36 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{3\\frac{3}{5}})^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (\\frac{5}{3\\frac{3}{5}})^2",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.15, bodu=7, $$(3 + 5) \cdot 3 - 12=\textcolor{white}{12}$$return {
["body"] = 7,
["id"] = "4zEsCt_0812_0927",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 + 5",
["typ"] = "plus" },
["render"] = "(3 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(3 + 5) \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(3 + 5) \\cdot 3 - 12",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.16, bodu=15, $$(-7 + 5)^3 \cdot \frac{-9}{7}=\textcolor{white}{10\frac{2}{7}}$$return {
["body"] = 15,
["id"] = "XsFtlq_0812_0927",
["obtiznost"] = 0.1636,
["reseni"] = {
["float"] = 10.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 7 },
["render"] = "\\frac{72}{7}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{7}",
["x"] = 10,
["y"] = 2,
["z"] = 7 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.16",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-7 + 5",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{7}",
["typ"] = "lomeno" },
["render"] = "(-7 + 5)^3 \\cdot \\frac{-9}{7}",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.17, bodu=16, $$7 - \frac{8}{7} + 7=\textcolor{white}{12\frac{6}{7}}$$return {
["body"] = 16,
["id"] = "e5tmRY_0812_0927",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 12.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 7 },
["render"] = "\\frac{90}{7}",
["typ"] = "cislo" },
["tex"] = "12\\frac{6}{7}",
["x"] = 12,
["y"] = 6,
["z"] = 7 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{8}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - \\frac{8}{7} + 7",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.18, bodu=8, $$7 \cdot (11 - 6 - (-3))=\textcolor{white}{56}$$return {
["body"] = 8,
["id"] = "oRFC2Y_0812_0927",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 1 },
["render"] = "\\frac{56}{1}",
["typ"] = "cislo" },
["tex"] = "56",
["x"] = 56 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "11 - 6 - (-3)",
["typ"] = "minus" },
["render"] = "(11 - 6 - (-3))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (11 - 6 - (-3))",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.19, bodu=8, $$(12 + 12 + 7) \cdot 7=\textcolor{white}{217}$$return {
["body"] = 8,
["id"] = "Fmdyds_0812_0927",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 217,
["jmenovatel"] = 1 },
["render"] = "\\frac{217}{1}",
["typ"] = "cislo" },
["tex"] = "217",
["tex_float"] = "217",
["x"] = 217 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.19",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 12 + 7",
["typ"] = "plus" },
["render"] = "(12 + 12 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(12 + 12 + 7) \\cdot 7",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.2, bodu=33, $$\frac{3}{\frac{1\frac{3}{5}}{(10 + (-7))^2}}=\textcolor{white}{16{,}875}$$return {
["body"] = 33,
["id"] = "cazDNj_0812_0927",
["obtiznost"] = 0.404,
["reseni"] = {
["float"] = 16.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 8 },
["render"] = "\\frac{135}{8}",
["typ"] = "cislo" },
["tex"] = "16\\frac{7}{8}",
["tex_float"] = "16{,}875",
["x"] = 16,
["y"] = 7,
["z"] = 8 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{5}}{(10 + (-7))^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{3}{\\frac{1\\frac{3}{5}}{(10 + (-7))^2}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.21, bodu=30, $$(5 + (\frac{7}{4})^3) \cdot 6=\textcolor{white}{62\frac{5}{32}}$$return {
["body"] = 30,
["id"] = "0degxj_0812_0927",
["obtiznost"] = 0.3728,
["reseni"] = {
["float"] = 62.15625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1989,
["jmenovatel"] = 32 },
["render"] = "\\frac{3978}{64}",
["typ"] = "cislo" },
["tex"] = "62\\frac{5}{32}",
["x"] = 62,
["y"] = 5,
["z"] = 32 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["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"] = "5 + (\\frac{7}{4})^3",
["typ"] = "plus" },
["render"] = "(5 + (\\frac{7}{4})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 + (\\frac{7}{4})^3) \\cdot 6",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.22, bodu=19, $$\frac{7 \cdot -5}{-2} \cdot 5=\textcolor{white}{87{,}5}$$return {
["body"] = 19,
["id"] = "tjGY71_0812_0927",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 87.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 2 },
["render"] = "\\frac{175}{2}",
["typ"] = "cislo" },
["tex"] = "87\\frac{1}{2}",
["tex_float"] = "87{,}5",
["x"] = 87,
["y"] = 1,
["z"] = 2 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.22",
["zadani"] = {
["c1"] = {
["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"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -5}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -5}{-2} \\cdot 5",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.23, bodu=19, $$12 + \frac{(\frac{-9}{9})^4}{8}=\textcolor{white}{12{,}125}$$return {
["body"] = 19,
["id"] = "5DP81m_0812_0927",
["obtiznost"] = 0.2308,
["reseni"] = {
["float"] = 12.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 8 },
["render"] = "\\frac{97}{8}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{8}",
["tex_float"] = "12{,}125",
["x"] = 12,
["y"] = 1,
["z"] = 8 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-9}{9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-9}{9})^4}{8}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{(\\frac{-9}{9})^4}{8}",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.24, bodu=23, $$\frac{12}{(-5 - 6)^2} - (-2)=\textcolor{white}{2\frac{12}{121}}$$return {
["body"] = 23,
["id"] = "7MkKyk_0812_0927",
["obtiznost"] = 0.2888,
["reseni"] = {
["float"] = 2.099173553719,
["objekt"] = {
["hodnota"] = {
["citatel"] = 254,
["jmenovatel"] = 121 },
["render"] = "\\frac{254}{121}",
["typ"] = "cislo" },
["tex"] = "2\\frac{12}{121}",
["x"] = 2,
["y"] = 12,
["z"] = 121 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-5 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-5 - 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{12}{(-5 - 6)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{12}{(-5 - 6)^2} - (-2)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.25, bodu=63, $$(\frac{1\frac{1}{4}}{-12} \cdot -6 \cdot 4)^4=\textcolor{white}{39\frac{1}{16}}$$return {
["body"] = 63,
["id"] = "g9dcDL_0812_0927",
["obtiznost"] = 0.7064,
["reseni"] = {
["float"] = 39.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 16 },
["render"] = "\\frac{625}{16}",
["typ"] = "cislo" },
["tex"] = "39\\frac{1}{16}",
["x"] = 39,
["y"] = 1,
["z"] = 16 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["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" },
["render"] = "\\frac{1\\frac{1}{4}}{-12} \\cdot -6 \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(\\frac{1\\frac{1}{4}}{-12} \\cdot -6 \\cdot 4)^4",
["typ"] = "mocnina" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.26, bodu=38, $$-7 \cdot 4\frac{3}{8} \cdot 10 \cdot 7=\textcolor{white}{-2143{,}75}$$return {
["body"] = 38,
["id"] = "Z6Dctz_0812_0927",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -2143.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8575,
["jmenovatel"] = 4 },
["render"] = "\\frac{-17150}{8}",
["typ"] = "cislo" },
["tex"] = "-2143\\frac{3}{4}",
["tex_float"] = "-2143{,}75",
["x"] = -2143,
["y"] = 3,
["z"] = 4 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["render"] = "-7 \\cdot 4\\frac{3}{8} \\cdot 10 \\cdot 7",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.27, bodu=33, $$\frac{(3 - (7 - 11))^3}{-11}=\textcolor{white}{-31\frac{2}{11}}$$return {
["body"] = 33,
["id"] = "L4gOOE_0812_0927",
["obtiznost"] = 0.4076,
["reseni"] = {
["float"] = -31.181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 11 },
["render"] = "\\frac{343}{-11}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{2}{11}",
["x"] = -31,
["y"] = 2,
["z"] = 11 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.27",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["render"] = "(7 - 11)",
["typ"] = "zavorka" },
["render"] = "3 - (7 - 11)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3 - (7 - 11))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(3 - (7 - 11))^3}{-11}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.28, bodu=39, $$7 \cdot 13 - (4\frac{2}{6} + 7 + (-6))=\textcolor{white}{85\frac{2}{3}}$$return {
["body"] = 39,
["id"] = "Hm5iu8_0812_0927",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 85.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 257,
["jmenovatel"] = 3 },
["render"] = "\\frac{257}{3}",
["typ"] = "cislo" },
["tex"] = "85\\frac{2}{3}",
["x"] = 85,
["y"] = 2,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 7 + (-6)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 7 + (-6))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 13 - (4\\frac{2}{6} + 7 + (-6))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.29, bodu=45, $$(\frac{5 \cdot -10}{-10})^4 - (-12)=\textcolor{white}{637}$$return {
["body"] = 45,
["id"] = "1QVLIb_0812_0927",
["obtiznost"] = 0.5404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 637,
["jmenovatel"] = 1 },
["render"] = "\\frac{637}{1}",
["typ"] = "cislo" },
["tex"] = "637",
["x"] = 637 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.29",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot -10}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5 \\cdot -10}{-10})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{5 \\cdot -10}{-10})^4 - (-12)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.3, bodu=24, $$(\frac{(13 + (-13))^3}{14 \cdot -8})^4=\textcolor{white}{0}$$return {
["body"] = 24,
["id"] = "ipG384_0812_0927",
["obtiznost"] = 0.3008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.3",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(13 + (-13))^3",
["typ"] = "mocnina" },
["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"] = "\\frac{(13 + (-13))^3}{14 \\cdot -8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(13 + (-13))^3}{14 \\cdot -8})^4",
["typ"] = "mocnina" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.31, bodu=42, $$-11 - \frac{1\frac{4}{7}}{(11 + (-10))^4 + 3}=\textcolor{white}{-11\frac{11}{28}}$$return {
["body"] = 42,
["id"] = "kIVEMA_0812_0927",
["obtiznost"] = 0.5108,
["reseni"] = {
["float"] = -11.392857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -319,
["jmenovatel"] = 28 },
["render"] = "\\frac{-319}{28}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{11}{28}",
["x"] = -11,
["y"] = 11,
["z"] = 28 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(11 + (-10))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(11 + (-10))^4 + 3",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{7}}{(11 + (-10))^4 + 3}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{1\\frac{4}{7}}{(11 + (-10))^4 + 3}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.32, bodu=26, $$\frac{-7 + (-8)}{7 \cdot -5}=\textcolor{white}{\frac{3}{7}}$$return {
["body"] = 26,
["id"] = "5Cw3xY_0812_0927",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 0.42857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 7 },
["render"] = "\\frac{-15}{-35}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{7}",
["y"] = 3,
["z"] = 7 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "7 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{-7 + (-8)}{7 \\cdot -5}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.33, bodu=27, $$\frac{3 - 11}{9 - 11}=\textcolor{white}{4}$$return {
["body"] = 27,
["id"] = "sA607t_0812_0927",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{-2}",
["typ"] = "cislo" },
["tex"] = "4",
["x"] = 4 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 - 11",
["typ"] = "minus" },
["render"] = "\\frac{3 - 11}{9 - 11}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.34, bodu=58, $$(\frac{4}{9})^3 - (11 - 9)^4=\textcolor{white}{-15\frac{665}{729}}$$return {
["body"] = 58,
["id"] = "wWhK4f_0812_0927",
["obtiznost"] = 0.664,
["reseni"] = {
["float"] = -15.912208504801,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11600,
["jmenovatel"] = 729 },
["render"] = "\\frac{-11600}{729}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{665}{729}",
["x"] = -15,
["y"] = 665,
["z"] = 729 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.34",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{9})^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(11 - 9)^4",
["typ"] = "mocnina" },
["render"] = "(\\frac{4}{9})^3 - (11 - 9)^4",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.35, bodu=47, $$(12 + 2\frac{2}{5} - (12 - 7)^2) \cdot 11=\textcolor{white}{-116{,}6}$$return {
["body"] = 47,
["id"] = "zycBXf_0812_0927",
["obtiznost"] = 0.5604,
["reseni"] = {
["float"] = -116.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -583,
["jmenovatel"] = 5 },
["render"] = "\\frac{-583}{5}",
["typ"] = "cislo" },
["tex"] = "-116\\frac{3}{5}",
["tex_float"] = "-116{,}6",
["x"] = -116,
["y"] = 3,
["z"] = 5 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 7)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{2}{5} - (12 - 7)^2",
["typ"] = "minus" },
["render"] = "12 + 2\\frac{2}{5} - (12 - 7)^2",
["typ"] = "plus" },
["render"] = "(12 + 2\\frac{2}{5} - (12 - 7)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(12 + 2\\frac{2}{5} - (12 - 7)^2) \\cdot 11",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.36, bodu=47, $$\frac{-8}{\frac{-9}{-4}} - 3\frac{4}{6}=\textcolor{white}{-7\frac{2}{9}}$$return {
["body"] = 47,
["id"] = "sWqz6k_0812_0927",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -7.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 9 },
["render"] = "\\frac{-195}{27}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{2}{9}",
["x"] = -7,
["y"] = 2,
["z"] = 9 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{\\frac{-9}{-4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{\\frac{-9}{-4}} - 3\\frac{4}{6}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.37, bodu=48, $$1\frac{3}{10} \cdot -8 - (11 - 12 + (-11))=\textcolor{white}{1{,}6}$$return {
["body"] = 48,
["id"] = "XJqx4F_0812_0927",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 1.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "\\frac{8}{5}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{5}",
["tex_float"] = "1{,}6",
["x"] = 1,
["y"] = 3,
["z"] = 5 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 - 12 + (-11)",
["typ"] = "plus" },
["render"] = "(11 - 12 + (-11))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{10} \\cdot -8 - (11 - 12 + (-11))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.38, bodu=49, $$-8 \cdot (\frac{10}{3\frac{1}{5}} - 5)=\textcolor{white}{15}$$return {
["body"] = 49,
["id"] = "6j8Ero_0812_0927",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "\\frac{120}{8}",
["typ"] = "cislo" },
["tex"] = "15",
["tex_float"] = "15",
["x"] = 15 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{5}} - 5",
["typ"] = "minus" },
["render"] = "(\\frac{10}{3\\frac{1}{5}} - 5)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (\\frac{10}{3\\frac{1}{5}} - 5)",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.39, bodu=15, $$(13 - (-5)) \cdot -12 \cdot 4=\textcolor{white}{-864}$$return {
["body"] = 15,
["id"] = "rlvpJH_0812_0927",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -864,
["jmenovatel"] = 1 },
["render"] = "\\frac{-864}{1}",
["typ"] = "cislo" },
["tex"] = "-864",
["tex_float"] = "-864",
["x"] = -864 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 - (-5)",
["typ"] = "minus" },
["render"] = "(13 - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(13 - (-5)) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(13 - (-5)) \\cdot -12 \\cdot 4",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.4, bodu=32, $$3 \cdot \frac{-6 - 12}{-7} - (-11)=\textcolor{white}{18\frac{5}{7}}$$return {
["body"] = 32,
["id"] = "BbOwXH_0812_0927",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 18.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 131,
["jmenovatel"] = 7 },
["render"] = "\\frac{131}{7}",
["typ"] = "cislo" },
["tex"] = "18\\frac{5}{7}",
["x"] = 18,
["y"] = 5,
["z"] = 7 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.4",
["zadani"] = {
["c1"] = {
["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"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 12}{-7}",
["typ"] = "lomeno" },
["render"] = "3 \\cdot \\frac{-6 - 12}{-7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3 \\cdot \\frac{-6 - 12}{-7} - (-11)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.41, bodu=52, $$\frac{10 \cdot 7}{-10 \cdot -9 - 1\frac{3}{5}}=\textcolor{white}{\frac{175}{221}}$$return {
["body"] = 52,
["id"] = "HBs4eJ_0812_0927",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 0.79185520361991,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 221 },
["render"] = "\\frac{350}{442}",
["typ"] = "cislo" },
["tex"] = "\\frac{175}{221}",
["y"] = 175,
["z"] = 221 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -9 - 1\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{10 \\cdot 7}{-10 \\cdot -9 - 1\\frac{3}{5}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.42, bodu=102, $$6 \cdot 3\frac{2}{5} + 15 \cdot 4\frac{4}{7} + 2\frac{4}{6}=\textcolor{white}{91\frac{67}{105}}$$return {
["body"] = 102,
["id"] = "gNbXmw_0812_0927",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 91.638095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9622,
["jmenovatel"] = 105 },
["render"] = "\\frac{9622}{105}",
["typ"] = "cislo" },
["tex"] = "91\\frac{67}{105}",
["x"] = 91,
["y"] = 67,
["z"] = 105 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "6 \\cdot 3\\frac{2}{5} + 15 \\cdot 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{2}{5} + 15 \\cdot 4\\frac{4}{7} + 2\\frac{4}{6}",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.43, bodu=55, $$13 \cdot 8 - 4\frac{4}{4} \cdot (-8 + 4\frac{4}{11})=\textcolor{white}{122\frac{2}{11}}$$return {
["body"] = 55,
["id"] = "4opzer_0812_0927",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 122.18181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1344,
["jmenovatel"] = 11 },
["render"] = "\\frac{1344}{11}",
["typ"] = "cislo" },
["tex"] = "122\\frac{2}{11}",
["x"] = 122,
["y"] = 2,
["z"] = 11 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-8 + 4\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(-8 + 4\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{4} \\cdot (-8 + 4\\frac{4}{11})",
["typ"] = "krat" },
["render"] = "13 \\cdot 8 - 4\\frac{4}{4} \\cdot (-8 + 4\\frac{4}{11})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.44, bodu=150, $$(3\frac{1}{5} - 2\frac{1}{4})^2 - \frac{2\frac{4}{8}}{-4} + 10=\textcolor{white}{11\frac{211}{400}}$$return {
["body"] = 150,
["id"] = "P5jY1B_0812_0927",
["obtiznost"] = 1.3444,
["reseni"] = {
["float"] = 11.5275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4611,
["jmenovatel"] = 400 },
["render"] = "\\frac{4611}{400}",
["typ"] = "cislo" },
["tex"] = "11\\frac{211}{400}",
["x"] = 11,
["y"] = 211,
["z"] = 400 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 2\\frac{1}{4}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{1}{5} - 2\\frac{1}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{-4}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{1}{5} - 2\\frac{1}{4})^2 - \\frac{2\\frac{4}{8}}{-4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{5} - 2\\frac{1}{4})^2 - \\frac{2\\frac{4}{8}}{-4} + 10",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.45, bodu=57, $$13 \cdot (3\frac{4}{7} + \frac{-10}{\frac{11}{8}})=\textcolor{white}{-48\frac{9}{77}}$$return {
["body"] = 57,
["id"] = "ZMckFY_0812_0927",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -48.116883116883,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3705,
["jmenovatel"] = 77 },
["render"] = "\\frac{-3705}{77}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{9}{77}",
["x"] = -48,
["y"] = 9,
["z"] = 77 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10}{\\frac{11}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{7} + \\frac{-10}{\\frac{11}{8}}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + \\frac{-10}{\\frac{11}{8}})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (3\\frac{4}{7} + \\frac{-10}{\\frac{11}{8}})",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.46, bodu=59, $$(15 + (-17) + 3\frac{2}{4})^2 \cdot (\frac{-7}{14})^3=\textcolor{white}{-\frac{9}{32}}$$return {
["body"] = 59,
["id"] = "9sl1hS_0812_0927",
["obtiznost"] = 0.6688,
["reseni"] = {
["float"] = -0.28125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 32 },
["render"] = "\\frac{-9}{32}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{32}",
["y"] = -9,
["z"] = 32 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.46",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "15 + (-17) + 3\\frac{2}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-17) + 3\\frac{2}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7}{14})^3",
["typ"] = "mocnina" },
["render"] = "(15 + (-17) + 3\\frac{2}{4})^2 \\cdot (\\frac{-7}{14})^3",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.47, bodu=69, $$13 \cdot (7 - (\frac{3\frac{1}{5} \cdot 7}{8})^2)=\textcolor{white}{-10{,}92}$$return {
["body"] = 69,
["id"] = "FBIEND_0812_0927",
["obtiznost"] = 0.7584,
["reseni"] = {
["float"] = -10.92,
["objekt"] = {
["hodnota"] = {
["citatel"] = -273,
["jmenovatel"] = 25 },
["render"] = "\\frac{-273}{25}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{23}{25}",
["tex_float"] = "-10{,}92",
["x"] = -10,
["y"] = 23,
["z"] = 25 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5} \\cdot 7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{1}{5} \\cdot 7}{8})^2",
["typ"] = "mocnina" },
["render"] = "7 - (\\frac{3\\frac{1}{5} \\cdot 7}{8})^2",
["typ"] = "minus" },
["render"] = "(7 - (\\frac{3\\frac{1}{5} \\cdot 7}{8})^2)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (7 - (\\frac{3\\frac{1}{5} \\cdot 7}{8})^2)",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.48, bodu=39, $$\frac{\frac{-17}{10}}{7 + \frac{-15}{6}}=\textcolor{white}{-\frac{17}{45}}$$return {
["body"] = 39,
["id"] = "h3nUkp_0812_0927",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.37777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 45 },
["render"] = "\\frac{-34}{90}",
["typ"] = "cislo" },
["tex"] = "-\\frac{17}{45}",
["y"] = -17,
["z"] = 45 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{6}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{-15}{6}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-17}{10}}{7 + \\frac{-15}{6}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.49, bodu=112, $$\frac{3\frac{3}{8} + (-3 \cdot -6)}{-3 + 3\frac{5}{9} + 1\frac{4}{7}}=\textcolor{white}{10\frac{53}{1072}}$$return {
["body"] = 112,
["id"] = "r4oLc1_0812_0927",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 10.049440298507,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10773,
["jmenovatel"] = 1072 },
["render"] = "\\frac{10773}{1072}",
["typ"] = "cislo" },
["tex"] = "10\\frac{53}{1072}",
["x"] = 10,
["y"] = 53,
["z"] = 1072 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-3 \\cdot -6",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} + (-3 \\cdot -6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-3 + 3\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-3 + 3\\frac{5}{9} + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{8} + (-3 \\cdot -6)}{-3 + 3\\frac{5}{9} + 1\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.5, bodu=86, $$(4\frac{2}{6} - (-11)) \cdot (13 + 1\frac{4}{7} - (-9))=\textcolor{white}{361\frac{3}{7}}$$return {
["body"] = 86,
["id"] = "yo0eej_0812_0927",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 361.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2530,
["jmenovatel"] = 7 },
["render"] = "\\frac{7590}{21}",
["typ"] = "cislo" },
["tex"] = "361\\frac{3}{7}",
["x"] = 361,
["y"] = 3,
["z"] = 7 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.5",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - (-11)",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - (-9)",
["typ"] = "minus" },
["render"] = "13 + 1\\frac{4}{7} - (-9)",
["typ"] = "plus" },
["render"] = "(13 + 1\\frac{4}{7} - (-9))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{6} - (-11)) \\cdot (13 + 1\\frac{4}{7} - (-9))",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.51, bodu=88, $$\frac{\frac{4\frac{3}{8} + 1\frac{3}{7}}{\frac{-11}{2}}}{-5}=\textcolor{white}{\frac{65}{308}}$$return {
["body"] = 88,
["id"] = "Xh0pTK_0812_0927",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 0.21103896103896,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 308 },
["render"] = "\\frac{-325}{-1540}",
["typ"] = "cislo" },
["tex"] = "\\frac{65}{308}",
["y"] = 65,
["z"] = 308 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{8} + 1\\frac{3}{7}}{\\frac{-11}{2}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{8} + 1\\frac{3}{7}}{\\frac{-11}{2}}}{-5}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.52, bodu=89, $$\frac{-15}{\frac{11 + 1\frac{5}{11}}{\frac{8}{1\frac{3}{9}}}}=\textcolor{white}{-7\frac{31}{137}}$$return {
["body"] = 89,
["id"] = "cgeIEX_0812_0927",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -7.2262773722628,
["objekt"] = {
["hodnota"] = {
["citatel"] = -990,
["jmenovatel"] = 137 },
["render"] = "\\frac{-990}{137}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{31}{137}",
["x"] = -7,
["y"] = 31,
["z"] = 137 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 + 1\\frac{5}{11}}{\\frac{8}{1\\frac{3}{9}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{11 + 1\\frac{5}{11}}{\\frac{8}{1\\frac{3}{9}}}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.53, bodu=66, $$10 - (-12) + \frac{10}{1\frac{3}{8}} + 15 + (-3)=\textcolor{white}{41\frac{3}{11}}$$return {
["body"] = 66,
["id"] = "mVtKU5_0812_0927",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 41.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 454,
["jmenovatel"] = 11 },
["render"] = "\\frac{454}{11}",
["typ"] = "cislo" },
["tex"] = "41\\frac{3}{11}",
["x"] = 41,
["y"] = 3,
["z"] = 11 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "15 + (-3)",
["typ"] = "plus" },
["render"] = "\\frac{10}{1\\frac{3}{8}} + 15 + (-3)",
["typ"] = "plus" },
["render"] = "10 - (-12) + \\frac{10}{1\\frac{3}{8}} + 15 + (-3)",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.54, bodu=67, $$3\frac{5}{9} - 10 + \frac{10}{-12} - (-14)=\textcolor{white}{6\frac{13}{18}}$$return {
["body"] = 67,
["id"] = "BtXXUR_0812_0927",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 6.7222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 18 },
["render"] = "\\frac{363}{54}",
["typ"] = "cislo" },
["tex"] = "6\\frac{13}{18}",
["x"] = 6,
["y"] = 13,
["z"] = 18 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-12} - (-14)",
["typ"] = "minus" },
["render"] = "3\\frac{5}{9} - 10 + \\frac{10}{-12} - (-14)",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.55, bodu=62, $$11 + (9 + 10)^2 + 9 - \frac{6}{-18}=\textcolor{white}{381\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "o4AhUH_0812_0927",
["obtiznost"] = 0.6948,
["reseni"] = {
["float"] = 381.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1144,
["jmenovatel"] = 3 },
["render"] = "\\frac{1144}{3}",
["typ"] = "cislo" },
["tex"] = "381\\frac{1}{3}",
["x"] = 381,
["y"] = 1,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(9 + 10)^2 + 9",
["typ"] = "plus" },
["render"] = "11 + (9 + 10)^2 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-18}",
["typ"] = "lomeno" },
["render"] = "11 + (9 + 10)^2 + 9 - \\frac{6}{-18}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.56, bodu=59, $$(\frac{-9}{14})^2 - \frac{-15}{8 + 10}=\textcolor{white}{1\frac{145}{588}}$$return {
["body"] = 59,
["id"] = "wKlKJl_0812_0927",
["obtiznost"] = 0.6708,
["reseni"] = {
["float"] = 1.2465986394558,
["objekt"] = {
["hodnota"] = {
["citatel"] = 733,
["jmenovatel"] = 588 },
["render"] = "\\frac{1466}{1176}",
["typ"] = "cislo" },
["tex"] = "1\\frac{145}{588}",
["x"] = 1,
["y"] = 145,
["z"] = 588 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.56",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{14})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["render"] = "\\frac{-15}{8 + 10}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-9}{14})^2 - \\frac{-15}{8 + 10}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.57, bodu=123, $$\frac{8 - 4\frac{1}{6} - 3\frac{2}{10}}{\frac{17}{2\frac{2}{4}}}=\textcolor{white}{\frac{19}{204}}$$return {
["body"] = 123,
["id"] = "80iqhl_0812_0927",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 0.093137254901961,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 204 },
["render"] = "\\frac{95}{1020}",
["typ"] = "cislo" },
["tex"] = "\\frac{19}{204}",
["y"] = 19,
["z"] = 204 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{1}{6} - 3\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{2\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{8 - 4\\frac{1}{6} - 3\\frac{2}{10}}{\\frac{17}{2\\frac{2}{4}}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.58, bodu=71, $$(-14 - (-9 + 3\frac{2}{9}) \cdot 6) \cdot (5 + 11)=\textcolor{white}{330\frac{2}{3}}$$return {
["body"] = 71,
["id"] = "UQSdWQ_0812_0927",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 330.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 992,
["jmenovatel"] = 3 },
["render"] = "\\frac{992}{3}",
["typ"] = "cislo" },
["tex"] = "330\\frac{2}{3}",
["x"] = 330,
["y"] = 2,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.58",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-9 + 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(-9 + 3\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-9 + 3\\frac{2}{9}) \\cdot 6",
["typ"] = "krat" },
["render"] = "-14 - (-9 + 3\\frac{2}{9}) \\cdot 6",
["typ"] = "minus" },
["render"] = "(-14 - (-9 + 3\\frac{2}{9}) \\cdot 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 + 11",
["typ"] = "plus" },
["render"] = "(5 + 11)",
["typ"] = "zavorka" },
["render"] = "(-14 - (-9 + 3\\frac{2}{9}) \\cdot 6) \\cdot (5 + 11)",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.59, bodu=98, $$10 \cdot 14 + (-16 \cdot 4\frac{3}{6} + 1\frac{4}{6})=\textcolor{white}{69\frac{2}{3}}$$return {
["body"] = 98,
["id"] = "eHN4La_0812_0927",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 69.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 209,
["jmenovatel"] = 3 },
["render"] = "\\frac{209}{3}",
["typ"] = "cislo" },
["tex"] = "69\\frac{2}{3}",
["x"] = 69,
["y"] = 2,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{3}{6} + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "10 \\cdot 14 + (-16 \\cdot 4\\frac{3}{6} + 1\\frac{4}{6})",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.6, bodu=111, $$\frac{(\frac{4\frac{1}{5}}{-7})^4 \cdot 13 \cdot -15}{-11}=\textcolor{white}{2\frac{409}{1375}}$$return {
["body"] = 111,
["id"] = "w9eNzD_0812_0927",
["obtiznost"] = 1.0824,
["reseni"] = {
["float"] = 2.2974545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3159,
["jmenovatel"] = 1375 },
["render"] = "\\frac{-3159}{-1375}",
["typ"] = "cislo" },
["tex"] = "2\\frac{409}{1375}",
["x"] = 2,
["y"] = 409,
["z"] = 1375 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{1}{5}}{-7})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "13 \\cdot -15",
["typ"] = "krat" },
["render"] = "(\\frac{4\\frac{1}{5}}{-7})^4 \\cdot 13 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4\\frac{1}{5}}{-7})^4 \\cdot 13 \\cdot -15}{-11}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.61, bodu=75, $$\frac{-8}{\frac{-13}{16} + 3\frac{2}{9} + 8 - (-17)}=\textcolor{white}{-\frac{1152}{3947}}$$return {
["body"] = 75,
["id"] = "WMjkit_0812_0927",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -0.29186724094249,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1152,
["jmenovatel"] = 3947 },
["render"] = "\\frac{-1152}{3947}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1152}{3947}",
["y"] = -1152,
["z"] = 3947 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{16} + 3\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{16} + 3\\frac{2}{9} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{16} + 3\\frac{2}{9} + 8 - (-17)",
["typ"] = "minus" },
["render"] = "\\frac{-8}{\\frac{-13}{16} + 3\\frac{2}{9} + 8 - (-17)}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.62, bodu=131, $$4\frac{5}{7} - (2\frac{1}{7} - (-6)) - (16 - \frac{14}{3\frac{1}{6}})=\textcolor{white}{-15\frac{1}{133}}$$return {
["body"] = 131,
["id"] = "GxHhOb_0812_0927",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -15.007518796992,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1996,
["jmenovatel"] = 133 },
["render"] = "\\frac{-1996}{133}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{1}{133}",
["x"] = -15,
["y"] = 1,
["z"] = 133 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - (-6)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} - (-6))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{7} - (2\\frac{1}{7} - (-6))",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "16 - \\frac{14}{3\\frac{1}{6}}",
["typ"] = "minus" },
["render"] = "(16 - \\frac{14}{3\\frac{1}{6}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{7} - (2\\frac{1}{7} - (-6)) - (16 - \\frac{14}{3\\frac{1}{6}})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.63, bodu=104, $$(4\frac{2}{10} + 18) \cdot (14 + 15 - (-18 - (-10))^3)=\textcolor{white}{12010{,}2}$$return {
["body"] = 104,
["id"] = "GKWzP3_0812_0927",
["obtiznost"] = 1.0352,
["reseni"] = {
["float"] = 12010.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60051,
["jmenovatel"] = 5 },
["render"] = "\\frac{60051}{5}",
["typ"] = "cislo" },
["tex"] = "12010\\frac{1}{5}",
["tex_float"] = "12010{,}2",
["x"] = 12010,
["y"] = 1,
["z"] = 5 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} + 18",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{10} + 18)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-18 - (-10))^3",
["typ"] = "mocnina" },
["render"] = "15 - (-18 - (-10))^3",
["typ"] = "minus" },
["render"] = "14 + 15 - (-18 - (-10))^3",
["typ"] = "plus" },
["render"] = "(14 + 15 - (-18 - (-10))^3)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{10} + 18) \\cdot (14 + 15 - (-18 - (-10))^3)",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.64, bodu=134, $$\frac{12 + 1\frac{4}{8}}{-11 - (14 - 2\frac{3}{7})} \cdot 2\frac{3}{6}=\textcolor{white}{-1\frac{313}{632}}$$return {
["body"] = 134,
["id"] = "sOXTMc_0812_0927",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -1.495253164557,
["objekt"] = {
["hodnota"] = {
["citatel"] = -945,
["jmenovatel"] = 632 },
["render"] = "\\frac{-945}{632}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{313}{632}",
["x"] = -1,
["y"] = 313,
["z"] = 632 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "14 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(14 - 2\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-11 - (14 - 2\\frac{3}{7})",
["typ"] = "minus" },
["render"] = "\\frac{12 + 1\\frac{4}{8}}{-11 - (14 - 2\\frac{3}{7})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 1\\frac{4}{8}}{-11 - (14 - 2\\frac{3}{7})} \\cdot 2\\frac{3}{6}",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.65, bodu=80, $$1\frac{3}{8} \cdot 10 - (12 - (-10 + \frac{-12}{7}))=\textcolor{white}{-9\frac{27}{28}}$$return {
["body"] = 80,
["id"] = "Gwi4sn_0812_0927",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -9.9642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -279,
["jmenovatel"] = 28 },
["render"] = "\\frac{-279}{28}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{27}{28}",
["x"] = -9,
["y"] = 27,
["z"] = 28 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{7}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{-12}{7}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{-12}{7})",
["typ"] = "zavorka" },
["render"] = "12 - (-10 + \\frac{-12}{7})",
["typ"] = "minus" },
["render"] = "(12 - (-10 + \\frac{-12}{7}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} \\cdot 10 - (12 - (-10 + \\frac{-12}{7}))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.66, bodu=59, $$(-12 - (-12 + (-6)))^2 - (-11 - \frac{-14}{-17})=\textcolor{white}{47\frac{14}{17}}$$return {
["body"] = 59,
["id"] = "ZuZTs2_0812_0927",
["obtiznost"] = 0.6748,
["reseni"] = {
["float"] = 47.823529411765,
["objekt"] = {
["hodnota"] = {
["citatel"] = 813,
["jmenovatel"] = 17 },
["render"] = "\\frac{813}{17}",
["typ"] = "cislo" },
["tex"] = "47\\frac{14}{17}",
["x"] = 47,
["y"] = 14,
["z"] = 17 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.66",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-12 + (-6)",
["typ"] = "plus" },
["render"] = "(-12 + (-6))",
["typ"] = "zavorka" },
["render"] = "-12 - (-12 + (-6))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - (-12 + (-6)))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-17}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{-14}{-17}",
["typ"] = "minus" },
["render"] = "(-11 - \\frac{-14}{-17})",
["typ"] = "zavorka" },
["render"] = "(-12 - (-12 + (-6)))^2 - (-11 - \\frac{-14}{-17})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.67, bodu=83, $$\frac{11}{4\frac{3}{10}} - \frac{-13}{\frac{12}{10}}=\textcolor{white}{13\frac{101}{258}}$$return {
["body"] = 83,
["id"] = "SqvzzK_0812_0927",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 13.391472868217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3455,
["jmenovatel"] = 258 },
["render"] = "\\frac{3455}{258}",
["typ"] = "cislo" },
["tex"] = "13\\frac{101}{258}",
["x"] = 13,
["y"] = 101,
["z"] = 258 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{12}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{4\\frac{3}{10}} - \\frac{-13}{\\frac{12}{10}}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.68, bodu=97, $$10 \cdot (((-13 + (-3))^2 - (-18)) \cdot 8 + 1\frac{1}{4})=\textcolor{white}{21932{,}5}$$return {
["body"] = 97,
["id"] = "F0VJ54_0812_0927",
["obtiznost"] = 0.9828,
["reseni"] = {
["float"] = 21932.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43865,
["jmenovatel"] = 2 },
["render"] = "\\frac{87730}{4}",
["typ"] = "cislo" },
["tex"] = "21932\\frac{1}{2}",
["tex_float"] = "21932{,}5",
["x"] = 21932,
["y"] = 1,
["z"] = 2 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-13 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + (-3))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(-13 + (-3))^2 - (-18)",
["typ"] = "minus" },
["render"] = "((-13 + (-3))^2 - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "((-13 + (-3))^2 - (-18)) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "((-13 + (-3))^2 - (-18)) \\cdot 8 + 1\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(((-13 + (-3))^2 - (-18)) \\cdot 8 + 1\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (((-13 + (-3))^2 - (-18)) \\cdot 8 + 1\\frac{1}{4})",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.69, bodu=141, $$3\frac{1}{2} - 9 - (\frac{9}{4\frac{4}{7}} + (-18 + 2\frac{4}{13}))=\textcolor{white}{8\frac{93}{416}}$$return {
["body"] = 141,
["id"] = "pih1pw_0812_0927",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 8.2235576923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3421,
["jmenovatel"] = 416 },
["render"] = "\\frac{6842}{832}",
["typ"] = "cislo" },
["tex"] = "8\\frac{93}{416}",
["x"] = 8,
["y"] = 93,
["z"] = 416 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} - 9",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-18 + 2\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "\\frac{9}{4\\frac{4}{7}} + (-18 + 2\\frac{4}{13})",
["typ"] = "plus" },
["render"] = "(\\frac{9}{4\\frac{4}{7}} + (-18 + 2\\frac{4}{13}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{2} - 9 - (\\frac{9}{4\\frac{4}{7}} + (-18 + 2\\frac{4}{13}))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.7, bodu=86, $$-20 - (6 + 11 \cdot 2\frac{5}{13}) - 11 - (-9)=\textcolor{white}{-54\frac{3}{13}}$$return {
["body"] = 86,
["id"] = "WGN4bJ_0812_0927",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -54.230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -705,
["jmenovatel"] = 13 },
["render"] = "\\frac{-705}{13}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{3}{13}",
["x"] = -54,
["y"] = 3,
["z"] = 13 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{5}{13}",
["typ"] = "krat" },
["render"] = "6 + 11 \\cdot 2\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(6 + 11 \\cdot 2\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "-20 - (6 + 11 \\cdot 2\\frac{5}{13})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-20 - (6 + 11 \\cdot 2\\frac{5}{13}) - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-20 - (6 + 11 \\cdot 2\\frac{5}{13}) - 11 - (-9)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.71, bodu=159, $$-12 - (-16 + (4\frac{3}{8} + 3\frac{1}{8} - 15)^2 - 1\frac{5}{6} - (-8))=\textcolor{white}{-58\frac{5}{12}}$$return {
["body"] = 159,
["id"] = "4npD78_0812_0927",
["obtiznost"] = 1.4016,
["reseni"] = {
["float"] = -58.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -701,
["jmenovatel"] = 12 },
["render"] = "\\frac{-701}{12}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{5}{12}",
["x"] = -58,
["y"] = 5,
["z"] = 12 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 15",
["typ"] = "minus" },
["render"] = "4\\frac{3}{8} + 3\\frac{1}{8} - 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2",
["typ"] = "mocnina" },
["render"] = "-16 + (4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-16 + (4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2 - 1\\frac{5}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-16 + (4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2 - 1\\frac{5}{6} - (-8)",
["typ"] = "minus" },
["render"] = "(-16 + (4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2 - 1\\frac{5}{6} - (-8))",
["typ"] = "zavorka" },
["render"] = "-12 - (-16 + (4\\frac{3}{8} + 3\\frac{1}{8} - 15)^2 - 1\\frac{5}{6} - (-8))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.72, bodu=131, $$\frac{18 \cdot -19 \cdot 15}{(4\frac{3}{6} \cdot 3\frac{5}{9})^2}=\textcolor{white}{-20\frac{5}{128}}$$return {
["body"] = 131,
["id"] = "GxvmwV_0812_0927",
["obtiznost"] = 1.2228,
["reseni"] = {
["float"] = -20.0390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2565,
["jmenovatel"] = 128 },
["render"] = "\\frac{-5130}{256}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{5}{128}",
["x"] = -20,
["y"] = 5,
["z"] = 128 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 15",
["typ"] = "krat" },
["render"] = "18 \\cdot -19 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{3}{6} \\cdot 3\\frac{5}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{18 \\cdot -19 \\cdot 15}{(4\\frac{3}{6} \\cdot 3\\frac{5}{9})^2}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.73, bodu=148, $$2\frac{4}{10} - (9 \cdot 1\frac{5}{11} \cdot (14 + 8) - 4\frac{3}{10})=\textcolor{white}{-281{,}3}$$return {
["body"] = 148,
["id"] = "DBKQcV_0812_0927",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -281.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2813,
["jmenovatel"] = 10 },
["render"] = "\\frac{-14065}{50}",
["typ"] = "cislo" },
["tex"] = "-281\\frac{3}{10}",
["tex_float"] = "-281{,}3",
["x"] = -281,
["y"] = 3,
["z"] = 10 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "14 + 8",
["typ"] = "plus" },
["render"] = "(14 + 8)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot 1\\frac{5}{11} \\cdot (14 + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{5}{11} \\cdot (14 + 8) - 4\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(9 \\cdot 1\\frac{5}{11} \\cdot (14 + 8) - 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{10} - (9 \\cdot 1\\frac{5}{11} \\cdot (14 + 8) - 4\\frac{3}{10})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.74, bodu=118, $$((\frac{-7}{(-18 - (-18))^3 + 5})^3 - (-5)) \cdot (-3 - (-11))^3=\textcolor{white}{1155{,}072}$$return {
["body"] = 118,
["id"] = "fTKr33_0812_0927",
["obtiznost"] = 1.1328,
["reseni"] = {
["float"] = 1155.072,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144384,
["jmenovatel"] = 125 },
["render"] = "\\frac{144384}{125}",
["typ"] = "cislo" },
["tex"] = "1155\\frac{9}{125}",
["tex_float"] = "1155{,}072",
["x"] = 1155,
["y"] = 9,
["z"] = 125 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-18 - (-18)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-18 - (-18))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-18 - (-18))^3 + 5",
["typ"] = "plus" },
["render"] = "\\frac{-7}{(-18 - (-18))^3 + 5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7}{(-18 - (-18))^3 + 5})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(\\frac{-7}{(-18 - (-18))^3 + 5})^3 - (-5)",
["typ"] = "minus" },
["render"] = "((\\frac{-7}{(-18 - (-18))^3 + 5})^3 - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-3 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-3 - (-11))^3",
["typ"] = "mocnina" },
["render"] = "((\\frac{-7}{(-18 - (-18))^3 + 5})^3 - (-5)) \\cdot (-3 - (-11))^3",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.75, bodu=183, $$13 + 1\frac{2}{7} + 1\frac{4}{8} + 1\frac{1}{4} + 2\frac{5}{12} + \frac{16}{6}=\textcolor{white}{22\frac{5}{42}}$$return {
["body"] = 183,
["id"] = "ZNFGuR_0812_0927",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 22.119047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 929,
["jmenovatel"] = 42 },
["render"] = "\\frac{2787}{126}",
["typ"] = "cislo" },
["tex"] = "22\\frac{5}{42}",
["x"] = 22,
["y"] = 5,
["z"] = 42 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 1\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 1\\frac{4}{8} + 1\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "13 + 1\\frac{2}{7} + 1\\frac{4}{8} + 1\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{2}{7} + 1\\frac{4}{8} + 1\\frac{1}{4} + 2\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{16}{6}",
["typ"] = "lomeno" },
["render"] = "13 + 1\\frac{2}{7} + 1\\frac{4}{8} + 1\\frac{1}{4} + 2\\frac{5}{12} + \\frac{16}{6}",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.76, bodu=152, $$-17 + (19 - 4\frac{4}{9}) \cdot \frac{-10}{4\frac{3}{8} + 2\frac{3}{8}}=\textcolor{white}{-38\frac{137}{243}}$$return {
["body"] = 152,
["id"] = "UOhCmO_0812_0927",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -38.56378600823,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9371,
["jmenovatel"] = 243 },
["render"] = "\\frac{-9371}{243}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{137}{243}",
["x"] = -38,
["y"] = 137,
["z"] = 243 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "19 - 4\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(19 - 4\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-10}{4\\frac{3}{8} + 2\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "(19 - 4\\frac{4}{9}) \\cdot \\frac{-10}{4\\frac{3}{8} + 2\\frac{3}{8}}",
["typ"] = "krat" },
["render"] = "-17 + (19 - 4\\frac{4}{9}) \\cdot \\frac{-10}{4\\frac{3}{8} + 2\\frac{3}{8}}",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.77, bodu=187, $$4\frac{1}{5} - \frac{3\frac{1}{6}}{\frac{-8}{4\frac{1}{10}}} \cdot 4\frac{1}{8}=\textcolor{white}{10\frac{229}{256}}$$return {
["body"] = 187,
["id"] = "8jYjK8_0812_0927",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 10.89453125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2789,
["jmenovatel"] = 256 },
["render"] = "\\frac{69725}{6400}",
["typ"] = "cislo" },
["tex"] = "10\\frac{229}{256}",
["x"] = 10,
["y"] = 229,
["z"] = 256 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{4\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{6}}{\\frac{-8}{4\\frac{1}{10}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{\\frac{-8}{4\\frac{1}{10}}} \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} - \\frac{3\\frac{1}{6}}{\\frac{-8}{4\\frac{1}{10}}} \\cdot 4\\frac{1}{8}",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.78, bodu=188, $$(3\frac{5}{11} - 3\frac{4}{10}) \cdot (1\frac{1}{6} + 20 + \frac{4\frac{2}{5}}{16})=\textcolor{white}{1\frac{373}{2200}}$$return {
["body"] = 188,
["id"] = "rcKKXh_0812_0927",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 1.1695454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2573,
["jmenovatel"] = 2200 },
["render"] = "\\frac{7719}{6600}",
["typ"] = "cislo" },
["tex"] = "1\\frac{373}{2200}",
["x"] = 1,
["y"] = 373,
["z"] = 2200 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{11} - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 20",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{16}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{6} + 20 + \\frac{4\\frac{2}{5}}{16}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{6} + 20 + \\frac{4\\frac{2}{5}}{16})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{5}{11} - 3\\frac{4}{10}) \\cdot (1\\frac{1}{6} + 20 + \\frac{4\\frac{2}{5}}{16})",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.79, bodu=126, $$19 - (9 - (-19)) + 1\frac{4}{8} + 15 + 4\frac{2}{7} + 11=\textcolor{white}{22\frac{11}{14}}$$return {
["body"] = 126,
["id"] = "1XgPQv_0812_0927",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 22.785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 319,
["jmenovatel"] = 14 },
["render"] = "\\frac{319}{14}",
["typ"] = "cislo" },
["tex"] = "22\\frac{11}{14}",
["x"] = 22,
["y"] = 11,
["z"] = 14 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "9 - (-19)",
["typ"] = "minus" },
["render"] = "(9 - (-19))",
["typ"] = "zavorka" },
["render"] = "19 - (9 - (-19))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 11",
["typ"] = "plus" },
["render"] = "1\\frac{4}{8} + 15 + 4\\frac{2}{7} + 11",
["typ"] = "plus" },
["render"] = "19 - (9 - (-19)) + 1\\frac{4}{8} + 15 + 4\\frac{2}{7} + 11",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.8, bodu=156, $$-12 - (14 - 3\frac{3}{5}) \cdot -15 - (-21 + (-14 + (-17))^2)=\textcolor{white}{-796}$$return {
["body"] = 156,
["id"] = "45Yval_0812_0927",
["obtiznost"] = 1.3848,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -796,
["jmenovatel"] = 1 },
["render"] = "\\frac{-796}{1}",
["typ"] = "cislo" },
["tex"] = "-796",
["x"] = -796 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "14 - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(14 - 3\\frac{3}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(14 - 3\\frac{3}{5}) \\cdot -15",
["typ"] = "krat" },
["render"] = "-12 - (14 - 3\\frac{3}{5}) \\cdot -15",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-14 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + (-17))^2",
["typ"] = "mocnina" },
["render"] = "-21 + (-14 + (-17))^2",
["typ"] = "plus" },
["render"] = "(-21 + (-14 + (-17))^2)",
["typ"] = "zavorka" },
["render"] = "-12 - (14 - 3\\frac{3}{5}) \\cdot -15 - (-21 + (-14 + (-17))^2)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.81, bodu=168, $$-13 - (13 - (1\frac{4}{12} + 10 + 7) + (\frac{13}{2\frac{3}{5}})^4)=\textcolor{white}{-632\frac{2}{3}}$$return {
["body"] = 168,
["id"] = "aVbbqp_0812_0927",
["obtiznost"] = 1.4604,
["reseni"] = {
["float"] = -632.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1898,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1898}{3}",
["typ"] = "cislo" },
["tex"] = "-632\\frac{2}{3}",
["x"] = -632,
["y"] = 2,
["z"] = 3 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["render"] = "1\\frac{4}{12} + 10 + 7",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{12} + 10 + 7)",
["typ"] = "zavorka" },
["render"] = "13 - (1\\frac{4}{12} + 10 + 7)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{13}{2\\frac{3}{5}})^4",
["typ"] = "mocnina" },
["render"] = "13 - (1\\frac{4}{12} + 10 + 7) + (\\frac{13}{2\\frac{3}{5}})^4",
["typ"] = "plus" },
["render"] = "(13 - (1\\frac{4}{12} + 10 + 7) + (\\frac{13}{2\\frac{3}{5}})^4)",
["typ"] = "zavorka" },
["render"] = "-13 - (13 - (1\\frac{4}{12} + 10 + 7) + (\\frac{13}{2\\frac{3}{5}})^4)",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.82, bodu=132, $$(\frac{-8}{4})^4 \cdot 4\frac{2}{8} - 8 - (3\frac{1}{8} - (-18))=\textcolor{white}{38{,}875}$$return {
["body"] = 132,
["id"] = "ieS6O9_0812_0927",
["obtiznost"] = 1.2268,
["reseni"] = {
["float"] = 38.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 311,
["jmenovatel"] = 8 },
["render"] = "\\frac{311}{8}",
["typ"] = "cislo" },
["tex"] = "38\\frac{7}{8}",
["tex_float"] = "38{,}875",
["x"] = 38,
["y"] = 7,
["z"] = 8 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-8}{4})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{-8}{4})^4 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{-8}{4})^4 \\cdot 4\\frac{2}{8} - 8",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - (-18)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - (-18))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-8}{4})^4 \\cdot 4\\frac{2}{8} - 8 - (3\\frac{1}{8} - (-18))",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.83, bodu=82, $$12 \cdot -11 + (\frac{14}{12})^2 + (-7 \cdot -10)=\textcolor{white}{-60\frac{23}{36}}$$return {
["body"] = 82,
["id"] = "Zd4kGk_0812_0927",
["obtiznost"] = 0.864,
["reseni"] = {
["float"] = -60.638888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2183,
["jmenovatel"] = 36 },
["render"] = "\\frac{-2183}{36}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{23}{36}",
["x"] = -60,
["y"] = 23,
["z"] = 36 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.83",
["zadani"] = {
["c1"] = {
["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"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{14}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{12})^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot -11 + (\\frac{14}{12})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["render"] = "12 \\cdot -11 + (\\frac{14}{12})^2 + (-7 \\cdot -10)",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.84, bodu=199, $$\frac{1\frac{1}{4} - (1\frac{1}{5} - (-18) - 4\frac{5}{8} \cdot 11)}{1\frac{5}{11}}=\textcolor{white}{22\frac{407}{640}}$$return {
["body"] = 199,
["id"] = "tHU2VJ_0812_0927",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 22.6359375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14487,
["jmenovatel"] = 640 },
["render"] = "\\frac{14487}{640}",
["typ"] = "cislo" },
["tex"] = "22\\frac{407}{640}",
["x"] = 22,
["y"] = 407,
["z"] = 640 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - (-18)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot 11",
["typ"] = "krat" },
["render"] = "1\\frac{1}{5} - (-18) - 4\\frac{5}{8} \\cdot 11",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{5} - (-18) - 4\\frac{5}{8} \\cdot 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{4} - (1\\frac{1}{5} - (-18) - 4\\frac{5}{8} \\cdot 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4} - (1\\frac{1}{5} - (-18) - 4\\frac{5}{8} \\cdot 11)}{1\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.85, bodu=156, $$\frac{-5}{(2\frac{5}{9} - (-15 + 2\frac{2}{8})) \cdot (\frac{12}{-10})^3}=\textcolor{white}{\frac{625}{3306}}$$return {
["body"] = 156,
["id"] = "wY9S3E_0812_0927",
["obtiznost"] = 1.3864,
["reseni"] = {
["float"] = 0.18905021173624,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 3306 },
["render"] = "\\frac{-625}{-3306}",
["typ"] = "cislo" },
["tex"] = "\\frac{625}{3306}",
["y"] = 625,
["z"] = 3306 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-15 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(-15 + 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{9} - (-15 + 2\\frac{2}{8})",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - (-15 + 2\\frac{2}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-10})^3",
["typ"] = "mocnina" },
["render"] = "(2\\frac{5}{9} - (-15 + 2\\frac{2}{8})) \\cdot (\\frac{12}{-10})^3",
["typ"] = "krat" },
["render"] = "\\frac{-5}{(2\\frac{5}{9} - (-15 + 2\\frac{2}{8})) \\cdot (\\frac{12}{-10})^3}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.86, bodu=202, $$\frac{\frac{4\frac{3}{11} - 17}{6 - 2\frac{2}{6}}}{4\frac{4}{11} \cdot 3\frac{5}{12}}=\textcolor{white}{-\frac{105}{451}}$$return {
["body"] = 202,
["id"] = "hWAUIp_0812_0927",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -0.23281596452328,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 451 },
["render"] = "\\frac{-4620}{19844}",
["typ"] = "cislo" },
["tex"] = "-\\frac{105}{451}",
["y"] = -105,
["z"] = 451 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "6 - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{11} - 17}{6 - 2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{3}{11} - 17}{6 - 2\\frac{2}{6}}}{4\\frac{4}{11} \\cdot 3\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.87, bodu=170, $$11 - \frac{5}{14} + 3\frac{4}{9} \cdot 1\frac{1}{9} + 4\frac{1}{6} + (-16)=\textcolor{white}{2\frac{361}{567}}$$return {
["body"] = 170,
["id"] = "EP14vm_0812_0927",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 2.636684303351,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1495,
["jmenovatel"] = 567 },
["render"] = "\\frac{1495}{567}",
["typ"] = "cislo" },
["tex"] = "2\\frac{361}{567}",
["x"] = 2,
["y"] = 361,
["z"] = 567 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{5}{14}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{5}{14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot 1\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "11 - \\frac{5}{14} + 3\\frac{4}{9} \\cdot 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "11 - \\frac{5}{14} + 3\\frac{4}{9} \\cdot 1\\frac{1}{9} + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 - \\frac{5}{14} + 3\\frac{4}{9} \\cdot 1\\frac{1}{9} + 4\\frac{1}{6} + (-16)",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.88, bodu=111, $$\frac{\frac{-16}{-10}}{-20 - 11} - (-18 \cdot 1\frac{1}{10})=\textcolor{white}{19\frac{116}{155}}$$return {
["body"] = 111,
["id"] = "IuPWid_0812_0927",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 19.748387096774,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3061,
["jmenovatel"] = 155 },
["render"] = "\\frac{15305}{775}",
["typ"] = "cislo" },
["tex"] = "19\\frac{116}{155}",
["x"] = 19,
["y"] = 116,
["z"] = 155 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-20 - 11",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-16}{-10}}{-20 - 11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-16}{-10}}{-20 - 11} - (-18 \\cdot 1\\frac{1}{10})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.89, bodu=178, $$\frac{(\frac{-15}{-21})^2}{2\frac{3}{8} - (4\frac{4}{9} + 11)} - (4 + 2\frac{5}{10})=\textcolor{white}{-6\frac{49709}{92218}}$$return {
["body"] = 178,
["id"] = "R02Bxi_0812_0927",
["obtiznost"] = 1.5196,
["reseni"] = {
["float"] = -6.5390379318571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -603017,
["jmenovatel"] = 92218 },
["render"] = "\\frac{-603017}{92218}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{49709}{92218}",
["x"] = -6,
["y"] = 49709,
["z"] = 92218 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-21}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{-21})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 11",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + 11)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} - (4\\frac{4}{9} + 11)",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{-15}{-21})^2}{2\\frac{3}{8} - (4\\frac{4}{9} + 11)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "4 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(4 + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{(\\frac{-15}{-21})^2}{2\\frac{3}{8} - (4\\frac{4}{9} + 11)} - (4 + 2\\frac{5}{10})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.9, bodu=113, $$\frac{(19 + 10) \cdot (3\frac{3}{9} - 8)}{-11 - 13}=\textcolor{white}{5\frac{23}{36}}$$return {
["body"] = 113,
["id"] = "XBLboG_0812_0927",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 5.6388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 203,
["jmenovatel"] = 36 },
["render"] = "\\frac{-406}{-72}",
["typ"] = "cislo" },
["tex"] = "5\\frac{23}{36}",
["x"] = 5,
["y"] = 23,
["z"] = 36 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "19 + 10",
["typ"] = "plus" },
["render"] = "(19 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 8",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{9} - 8)",
["typ"] = "zavorka" },
["render"] = "(19 + 10) \\cdot (3\\frac{3}{9} - 8)",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "\\frac{(19 + 10) \\cdot (3\\frac{3}{9} - 8)}{-11 - 13}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.91, bodu=115, $$\frac{-18 + 7}{10 \cdot -18} + \frac{12}{1\frac{2}{9}}=\textcolor{white}{9\frac{1741}{1980}}$$return {
["body"] = 115,
["id"] = "ZfduDf_0812_0927",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 9.8792929292929,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19561,
["jmenovatel"] = 1980 },
["render"] = "\\frac{19561}{1980}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1741}{1980}",
["x"] = 9,
["y"] = 1741,
["z"] = 1980 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-18 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "10 \\cdot -18",
["typ"] = "krat" },
["render"] = "\\frac{-18 + 7}{10 \\cdot -18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-18 + 7}{10 \\cdot -18} + \\frac{12}{1\\frac{2}{9}}",
["typ"] = "plus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.92, bodu=213, $$\frac{\frac{2\frac{2}{9}}{-9 \cdot 4\frac{2}{7}} + 1\frac{3}{8}}{17 + 4\frac{3}{12}}=\textcolor{white}{\frac{2561}{41310}}$$return {
["body"] = 213,
["id"] = "TGHFzT_0812_0927",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 0.061994674412975,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2561,
["jmenovatel"] = 41310 },
["render"] = "\\frac{10244}{165240}",
["typ"] = "cislo" },
["tex"] = "\\frac{2561}{41310}",
["y"] = 2561,
["z"] = 41310 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{9}}{-9 \\cdot 4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{-9 \\cdot 4\\frac{2}{7}} + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "17 + 4\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{2}{9}}{-9 \\cdot 4\\frac{2}{7}} + 1\\frac{3}{8}}{17 + 4\\frac{3}{12}}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.93, bodu=180, $$2\frac{4}{8} \cdot (1\frac{3}{8} + 17 \cdot -5 - (20 - 1\frac{3}{11}))=\textcolor{white}{-255\frac{155}{176}}$$return {
["body"] = 180,
["id"] = "EpVZmg_0812_0927",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -255.88068181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45035,
["jmenovatel"] = 176 },
["render"] = "\\frac{-45035}{176}",
["typ"] = "cislo" },
["tex"] = "-255\\frac{155}{176}",
["x"] = -255,
["y"] = 155,
["z"] = 176 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "17 \\cdot -5",
["typ"] = "krat" },
["render"] = "1\\frac{3}{8} + 17 \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "20 - 1\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(20 - 1\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} + 17 \\cdot -5 - (20 - 1\\frac{3}{11})",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{8} + 17 \\cdot -5 - (20 - 1\\frac{3}{11}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{8} \\cdot (1\\frac{3}{8} + 17 \\cdot -5 - (20 - 1\\frac{3}{11}))",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.94, bodu=181, $$2\frac{3}{11} - 2\frac{2}{9} - (16 + 17) + 8 - 4\frac{2}{13} - 17=\textcolor{white}{-46\frac{133}{1287}}$$return {
["body"] = 181,
["id"] = "UwfxJm_0812_0927",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -46.103341103341,
["objekt"] = {
["hodnota"] = {
["citatel"] = -59335,
["jmenovatel"] = 1287 },
["render"] = "\\frac{-59335}{1287}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{133}{1287}",
["x"] = -46,
["y"] = 133,
["z"] = 1287 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 2\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "16 + 17",
["typ"] = "plus" },
["render"] = "(16 + 17)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{11} - 2\\frac{2}{9} - (16 + 17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{2}{13}",
["typ"] = "minus" },
["render"] = "2\\frac{3}{11} - 2\\frac{2}{9} - (16 + 17) + 8 - 4\\frac{2}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 2\\frac{2}{9} - (16 + 17) + 8 - 4\\frac{2}{13} - 17",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.95, bodu=120, $$\frac{4\frac{4}{7} + (-18 \cdot 13) + (-9)}{10 \cdot 15}=\textcolor{white}{-1\frac{619}{1050}}$$return {
["body"] = 120,
["id"] = "ci4Mkv_0812_0927",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -1.5895238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1669,
["jmenovatel"] = 1050 },
["render"] = "\\frac{-1669}{1050}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{619}{1050}",
["x"] = -1,
["y"] = 619,
["z"] = 1050 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 13",
["typ"] = "krat" },
["render"] = "4\\frac{4}{7} + (-18 \\cdot 13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} + (-18 \\cdot 13) + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "10 \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{7} + (-18 \\cdot 13) + (-9)}{10 \\cdot 15}",
["typ"] = "lomeno" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.96, bodu=185, $$\frac{13 \cdot 15}{2\frac{2}{11}} \cdot -20 - (3\frac{3}{4} - 4\frac{5}{11})=\textcolor{white}{-1786\frac{35}{44}}$$return {
["body"] = 185,
["id"] = "2AIIK7_0812_0927",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -1786.7954545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -78619,
["jmenovatel"] = 44 },
["render"] = "\\frac{-157238}{88}",
["typ"] = "cislo" },
["tex"] = "-1786\\frac{35}{44}",
["x"] = -1786,
["y"] = 35,
["z"] = 44 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 15}{2\\frac{2}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 15}{2\\frac{2}{11}} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{4} - 4\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{13 \\cdot 15}{2\\frac{2}{11}} \\cdot -20 - (3\\frac{3}{4} - 4\\frac{5}{11})",
["typ"] = "minus" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.97, bodu=221, $$(3\frac{2}{4} - \frac{24}{4\frac{1}{5}}) \cdot (3\frac{1}{5} + \frac{20}{2\frac{1}{3}})=\textcolor{white}{-26\frac{16}{245}}$$return {
["body"] = 221,
["id"] = "6hMeYj_0812_0927",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -26.065306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6386,
["jmenovatel"] = 245 },
["render"] = "\\frac{-12772}{490}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{16}{245}",
["x"] = -26,
["y"] = 16,
["z"] = 245 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{24}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{4} - \\frac{24}{4\\frac{1}{5}}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{4} - \\frac{24}{4\\frac{1}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{5} + \\frac{20}{2\\frac{1}{3}}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{5} + \\frac{20}{2\\frac{1}{3}})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{2}{4} - \\frac{24}{4\\frac{1}{5}}) \\cdot (3\\frac{1}{5} + \\frac{20}{2\\frac{1}{3}})",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.98, bodu=188, $$\frac{3\frac{3}{7}}{1\frac{1}{4}} \cdot \frac{4}{-18 - 2\frac{5}{9}} \cdot 14=\textcolor{white}{-7\frac{437}{925}}$$return {
["body"] = 188,
["id"] = "eTyuZ6_0812_0927",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -7.4724324324324,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6912,
["jmenovatel"] = 925 },
["render"] = "\\frac{-48384}{6475}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{437}{925}",
["x"] = -7,
["y"] = 437,
["z"] = 925 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{7}}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-18 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{4}{-18 - 2\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-18 - 2\\frac{5}{9}} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{7}}{1\\frac{1}{4}} \\cdot \\frac{4}{-18 - 2\\frac{5}{9}} \\cdot 14",
["typ"] = "krat" } }
seed: 0PMPMjYo0XTK0mp8bqGp_0.99, bodu=131, $$(-11 + 14)^4 \cdot 10 - \frac{14}{4\frac{2}{5} - 15}=\textcolor{white}{811\frac{17}{53}}$$return {
["body"] = 131,
["id"] = "cTABWn_0812_0927",
["obtiznost"] = 1.2228,
["reseni"] = {
["float"] = 811.32075471698,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43000,
["jmenovatel"] = 53 },
["render"] = "\\frac{43000}{53}",
["typ"] = "cislo" },
["tex"] = "811\\frac{17}{53}",
["x"] = 811,
["y"] = 17,
["z"] = 53 },
["seed"] = "0PMPMjYo0XTK0mp8bqGp_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-11 + 14)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-11 + 14)^4 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - 15",
["typ"] = "minus" },
["render"] = "\\frac{14}{4\\frac{2}{5} - 15}",
["typ"] = "lomeno" },
["render"] = "(-11 + 14)^4 \\cdot 10 - \\frac{14}{4\\frac{2}{5} - 15}",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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1aj.gif: 
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5ba.gif: 
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Lucky-star-good-job-o.gif: 
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
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well-done-jennifer-anniston-clap-applause-2.gif: 