- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: u3xDThqo7uvdFeRxsOeG_0, bodu=10, $$-4 + \frac{-9}{10} + 10=\textcolor{white}{5{,}1}$$return {
["body"] = 10,
["id"] = "Xz7pV1_1003_0758",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 5.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 10 },
["render"] = "\\frac{51}{10}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{10}",
["tex_float"] = "5{,}1",
["x"] = 5,
["y"] = 1,
["z"] = 10 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{10} + 10",
["typ"] = "plus" },
["render"] = "-4 + \\frac{-9}{10} + 10",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.01, bodu=5, $$-3 \cdot -6 \cdot 6=\textcolor{white}{108}$$return {
["body"] = 5,
["id"] = "ZsOXvW_1003_0758",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 1 },
["render"] = "\\frac{108}{1}",
["typ"] = "cislo" },
["tex"] = "108",
["tex_float"] = "108",
["x"] = 108 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.01",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 \\cdot -6 \\cdot 6",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.02, bodu=5, $$8 + 3 + (-2 - 6) + 7=\textcolor{white}{10}$$return {
["body"] = 5,
["id"] = "Oz9tB1_1003_0758",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{10}{1}",
["typ"] = "cislo" },
["tex"] = "10",
["x"] = 10 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-2 - 6",
["typ"] = "minus" },
["render"] = "3 + (-2 - 6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 + (-2 - 6) + 7",
["typ"] = "plus" },
["render"] = "8 + 3 + (-2 - 6) + 7",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.03, bodu=10, $$6 + \frac{-3}{3 + 10}=\textcolor{white}{5\frac{10}{13}}$$return {
["body"] = 10,
["id"] = "LAAZwV_1003_0758",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 5.7692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 13 },
["render"] = "\\frac{75}{13}",
["typ"] = "cislo" },
["tex"] = "5\\frac{10}{13}",
["x"] = 5,
["y"] = 10,
["z"] = 13 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 + 10",
["typ"] = "plus" },
["render"] = "\\frac{-3}{3 + 10}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{-3}{3 + 10}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.04, bodu=10, $$(\frac{-6}{11} - 3) \cdot 7=\textcolor{white}{-24\frac{9}{11}}$$return {
["body"] = 10,
["id"] = "kwljdE_1003_0758",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -24.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -273,
["jmenovatel"] = 11 },
["render"] = "\\frac{-273}{11}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{9}{11}",
["x"] = -24,
["y"] = 9,
["z"] = 11 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.04",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{11} - 3",
["typ"] = "minus" },
["render"] = "(\\frac{-6}{11} - 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{11} - 3) \\cdot 7",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.05, bodu=11, $$\frac{-6}{6 + 7 - (3\frac{1}{1} + (-5))}=\textcolor{white}{-\frac{3}{7}}$$return {
["body"] = 11,
["id"] = "Qmbj7m_1003_0758",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -0.42857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6}{14}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{7}",
["y"] = -3,
["z"] = 7 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{1} + (-5)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{1} + (-5))",
["typ"] = "zavorka" },
["render"] = "6 + 7 - (3\\frac{1}{1} + (-5))",
["typ"] = "minus" },
["render"] = "\\frac{-6}{6 + 7 - (3\\frac{1}{1} + (-5))}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.06, bodu=17, $$-11 + (\frac{-2 + 8}{5})^3=\textcolor{white}{-9{,}272}$$return {
["body"] = 17,
["id"] = "TCJ6lN_1003_0758",
["obtiznost"] = 0.1964,
["reseni"] = {
["float"] = -9.272,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1159,
["jmenovatel"] = 125 },
["render"] = "\\frac{-1159}{125}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{34}{125}",
["tex_float"] = "-9{,}272",
["x"] = -9,
["y"] = 34,
["z"] = 125 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-2 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-2 + 8}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-2 + 8}{5})^3",
["typ"] = "mocnina" },
["render"] = "-11 + (\\frac{-2 + 8}{5})^3",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.07, bodu=11, $$\frac{6 \cdot 6}{9}=\textcolor{white}{4}$$return {
["body"] = 11,
["id"] = "JFAPr8_1003_0758",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{36}{9}",
["typ"] = "cislo" },
["tex"] = "4",
["x"] = 4 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 6}{9}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.08, bodu=23, $$3\frac{1}{4} \cdot \frac{3}{11}=\textcolor{white}{\frac{39}{44}}$$return {
["body"] = 23,
["id"] = "Mf67sg_1003_0758",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 0.88636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 44 },
["render"] = "\\frac{39}{44}",
["typ"] = "cislo" },
["tex"] = "\\frac{39}{44}",
["y"] = 39,
["z"] = 44 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3}{11}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{4} \\cdot \\frac{3}{11}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.09, bodu=6, $$8 \cdot 6 + 10 + 5=\textcolor{white}{63}$$return {
["body"] = 6,
["id"] = "1VA6lk_1003_0758",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{63}{1}",
["typ"] = "cislo" },
["tex"] = "63",
["x"] = 63 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + 5",
["typ"] = "plus" },
["render"] = "8 \\cdot 6 + 10 + 5",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.1, bodu=12, $$\frac{-8 - 7}{(4 - 6)^2}=\textcolor{white}{-3{,}75}$$return {
["body"] = 12,
["id"] = "oyi571_1003_0758",
["obtiznost"] = 0.102,
["reseni"] = {
["float"] = -3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 4 },
["render"] = "\\frac{-15}{4}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{4}",
["tex_float"] = "-3{,}75",
["x"] = -3,
["y"] = 3,
["z"] = 4 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 - 7",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8 - 7}{(4 - 6)^2}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.11, bodu=13, $$\frac{3}{-5 + 11 - 9}=\textcolor{white}{-1}$$return {
["body"] = 13,
["id"] = "iUZNF5_1003_0758",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{3}{-3}",
["typ"] = "cislo" },
["tex"] = "-1",
["tex_float"] = "-1",
["x"] = -1 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 + 11 - 9",
["typ"] = "minus" },
["render"] = "\\frac{3}{-5 + 11 - 9}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.12, bodu=10, $$(6 + 11)^2 - (6 - 9)=\textcolor{white}{292}$$return {
["body"] = 10,
["id"] = "TMpYz9_1003_0758",
["obtiznost"] = 0.236,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 292,
["jmenovatel"] = 1 },
["render"] = "\\frac{292}{1}",
["typ"] = "cislo" },
["tex"] = "292",
["tex_float"] = "292",
["x"] = 292 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "(6 - 9)",
["typ"] = "zavorka" },
["render"] = "(6 + 11)^2 - (6 - 9)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.13, bodu=27, $$2\frac{4}{7} - (-8) + \frac{2}{6}=\textcolor{white}{10\frac{19}{21}}$$return {
["body"] = 27,
["id"] = "ecLZa8_1003_0758",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 10.904761904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 229,
["jmenovatel"] = 21 },
["render"] = "\\frac{229}{21}",
["typ"] = "cislo" },
["tex"] = "10\\frac{19}{21}",
["x"] = 10,
["y"] = 19,
["z"] = 21 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2}{6}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{7} - (-8) + \\frac{2}{6}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.14, bodu=22, $$\frac{4 \cdot -12}{(11 + 7)^2}=\textcolor{white}{-\frac{4}{27}}$$return {
["body"] = 22,
["id"] = "rgH7Uc_1003_0758",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 27 },
["render"] = "\\frac{-48}{324}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{27}",
["y"] = -4,
["z"] = 27 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 7)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4 \\cdot -12}{(11 + 7)^2}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.15, bodu=7, $$3 + 10 + (-6 \cdot 9)=\textcolor{white}{-41}$$return {
["body"] = 7,
["id"] = "vt5Nzc_1003_0758",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -41,
["jmenovatel"] = 1 },
["render"] = "\\frac{-41}{1}",
["typ"] = "cislo" },
["tex"] = "-41",
["tex_float"] = "-41",
["x"] = -41 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 9",
["typ"] = "krat" },
["render"] = "3 + 10 + (-6 \\cdot 9)",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.16, bodu=7, $$7 \cdot 8 \cdot (-10 - 7)=\textcolor{white}{-952}$$return {
["body"] = 7,
["id"] = "Gx4VaB_1003_0758",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -952,
["jmenovatel"] = 1 },
["render"] = "\\frac{-952}{1}",
["typ"] = "cislo" },
["tex"] = "-952",
["tex_float"] = "-952",
["x"] = -952 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 - 7",
["typ"] = "minus" },
["render"] = "(-10 - 7)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-10 - 7)",
["typ"] = "krat" },
["render"] = "7 \\cdot 8 \\cdot (-10 - 7)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.17, bodu=13, $$5 - (-4 \cdot (8 - (-12))^2)=\textcolor{white}{1605}$$return {
["body"] = 13,
["id"] = "jLnJso_1003_0758",
["obtiznost"] = 0.3304,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1605,
["jmenovatel"] = 1 },
["render"] = "\\frac{1605}{1}",
["typ"] = "cislo" },
["tex"] = "1605",
["x"] = 1605 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-12))^2",
["typ"] = "mocnina" },
["render"] = "-4 \\cdot (8 - (-12))^2",
["typ"] = "krat" },
["render"] = "5 - (-4 \\cdot (8 - (-12))^2)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.18, bodu=20, $$\frac{(6 + (-11) + (-7))^2}{7 + 7}=\textcolor{white}{10\frac{2}{7}}$$return {
["body"] = 20,
["id"] = "sB1QD9_1003_0758",
["obtiznost"] = 0.238,
["reseni"] = {
["float"] = 10.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 7 },
["render"] = "\\frac{144}{14}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{7}",
["x"] = 10,
["y"] = 2,
["z"] = 7 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.18",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "6 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 + (-11) + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-11) + (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "\\frac{(6 + (-11) + (-7))^2}{7 + 7}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.19, bodu=31, $$\frac{4\frac{3}{5}}{10} \cdot 11=\textcolor{white}{5{,}06}$$return {
["body"] = 31,
["id"] = "mpKI4a_1003_0758",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 5.06,
["objekt"] = {
["hodnota"] = {
["citatel"] = 253,
["jmenovatel"] = 50 },
["render"] = "\\frac{253}{50}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{50}",
["tex_float"] = "5{,}06",
["x"] = 5,
["y"] = 3,
["z"] = 50 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{10} \\cdot 11",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.2, bodu=18, $$\frac{\frac{5}{8}}{4 - (-13)}=\textcolor{white}{\frac{5}{136}}$$return {
["body"] = 18,
["id"] = "XzmdOm_1003_0758",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 0.036764705882353,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 136 },
["render"] = "\\frac{5}{136}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{136}",
["y"] = 5,
["z"] = 136 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{5}{8}}{4 - (-13)}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.21, bodu=33, $$9 \cdot 1\frac{5}{8} \cdot (9 + 13)=\textcolor{white}{321{,}75}$$return {
["body"] = 33,
["id"] = "JrQrxw_1003_0758",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 321.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1287,
["jmenovatel"] = 4 },
["render"] = "\\frac{1287}{4}",
["typ"] = "cislo" },
["tex"] = "321\\frac{3}{4}",
["tex_float"] = "321{,}75",
["x"] = 321,
["y"] = 3,
["z"] = 4 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 + 13",
["typ"] = "plus" },
["render"] = "(9 + 13)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{8} \\cdot (9 + 13)",
["typ"] = "krat" },
["render"] = "9 \\cdot 1\\frac{5}{8} \\cdot (9 + 13)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.22, bodu=34, $$\frac{6 \cdot 10}{-12 + 1\frac{2}{4}}=\textcolor{white}{-5\frac{5}{7}}$$return {
["body"] = 34,
["id"] = "uA6DE8_1003_0758",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -5.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 7 },
["render"] = "\\frac{120}{-21}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{5}{7}",
["x"] = -5,
["y"] = 5,
["z"] = 7 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{6 \\cdot 10}{-12 + 1\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.23, bodu=23, $$\frac{(13 - 8)^3 \cdot 5}{8}=\textcolor{white}{78{,}125}$$return {
["body"] = 23,
["id"] = "Omkgwj_1003_0758",
["obtiznost"] = 0.2804,
["reseni"] = {
["float"] = 78.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 8 },
["render"] = "\\frac{625}{8}",
["typ"] = "cislo" },
["tex"] = "78\\frac{1}{8}",
["tex_float"] = "78{,}125",
["x"] = 78,
["y"] = 1,
["z"] = 8 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(13 - 8)^3 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(13 - 8)^3 \\cdot 5}{8}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.24, bodu=20, $$\frac{14}{-5} + 9 - 10 + (-11)=\textcolor{white}{-14{,}8}$$return {
["body"] = 20,
["id"] = "CBq0fw_1003_0758",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -14.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -74,
["jmenovatel"] = 5 },
["render"] = "\\frac{-74}{5}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{4}{5}",
["tex_float"] = "-14{,}8",
["x"] = -14,
["y"] = 4,
["z"] = 5 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["render"] = "\\frac{14}{-5} + 9 - 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-5} + 9 - 10 + (-11)",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.25, bodu=37, $$8 - (-11 + \frac{3\frac{2}{4} - (-3)}{7})=\textcolor{white}{18\frac{1}{14}}$$return {
["body"] = 37,
["id"] = "vWvhJN_1003_0758",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 18.071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 253,
["jmenovatel"] = 14 },
["render"] = "\\frac{253}{14}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1}{14}",
["x"] = 18,
["y"] = 1,
["z"] = 14 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{4} - (-3)}{7}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{3\\frac{2}{4} - (-3)}{7}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{3\\frac{2}{4} - (-3)}{7})",
["typ"] = "zavorka" },
["render"] = "8 - (-11 + \\frac{3\\frac{2}{4} - (-3)}{7})",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.26, bodu=38, $$7 - 9 - (2 + 4\frac{5}{10} \cdot -9)=\textcolor{white}{36{,}5}$$return {
["body"] = 38,
["id"] = "OGHVfc_1003_0758",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 36.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 73,
["jmenovatel"] = 2 },
["render"] = "\\frac{73}{2}",
["typ"] = "cislo" },
["tex"] = "36\\frac{1}{2}",
["tex_float"] = "36{,}5",
["x"] = 36,
["y"] = 1,
["z"] = 2 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot -9",
["typ"] = "krat" },
["render"] = "2 + 4\\frac{5}{10} \\cdot -9",
["typ"] = "plus" },
["render"] = "(2 + 4\\frac{5}{10} \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "7 - 9 - (2 + 4\\frac{5}{10} \\cdot -9)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.27, bodu=49, $$(13 + (-9))^4 - (4\frac{4}{8} - 11) - 11=\textcolor{white}{251{,}5}$$return {
["body"] = 49,
["id"] = "nPLred_1003_0758",
["obtiznost"] = 0.5728,
["reseni"] = {
["float"] = 251.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 503,
["jmenovatel"] = 2 },
["render"] = "\\frac{503}{2}",
["typ"] = "cislo" },
["tex"] = "251\\frac{1}{2}",
["tex_float"] = "251{,}5",
["x"] = 251,
["y"] = 1,
["z"] = 2 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(13 + (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 11",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{8} - 11)",
["typ"] = "zavorka" },
["render"] = "(13 + (-9))^4 - (4\\frac{4}{8} - 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(13 + (-9))^4 - (4\\frac{4}{8} - 11) - 11",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.28, bodu=23, $$(\frac{7}{13} + (-5)) \cdot -6=\textcolor{white}{26\frac{10}{13}}$$return {
["body"] = 23,
["id"] = "jrtXyq_1003_0758",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 26.769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 348,
["jmenovatel"] = 13 },
["render"] = "\\frac{348}{13}",
["typ"] = "cislo" },
["tex"] = "26\\frac{10}{13}",
["x"] = 26,
["y"] = 10,
["z"] = 13 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{7}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{13} + (-5)",
["typ"] = "plus" },
["render"] = "(\\frac{7}{13} + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{13} + (-5)) \\cdot -6",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.29, bodu=61, $$2\frac{4}{6} + 8 + 11 + 6 \cdot 2\frac{3}{5}=\textcolor{white}{37\frac{4}{15}}$$return {
["body"] = 61,
["id"] = "zBvGFc_1003_0758",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 37.266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 559,
["jmenovatel"] = 15 },
["render"] = "\\frac{559}{15}",
["typ"] = "cislo" },
["tex"] = "37\\frac{4}{15}",
["x"] = 37,
["y"] = 4,
["z"] = 15 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 8 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{6} + 8 + 11 + 6 \\cdot 2\\frac{3}{5}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.3, bodu=12, $$(11 - (-7 - 13)) \cdot (15 - 8)=\textcolor{white}{217}$$return {
["body"] = 12,
["id"] = "pP0Bd8_1003_0758",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 217,
["jmenovatel"] = 1 },
["render"] = "\\frac{217}{1}",
["typ"] = "cislo" },
["tex"] = "217",
["x"] = 217 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-7 - 13",
["typ"] = "minus" },
["render"] = "(-7 - 13)",
["typ"] = "zavorka" },
["render"] = "11 - (-7 - 13)",
["typ"] = "minus" },
["render"] = "(11 - (-7 - 13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 - 8",
["typ"] = "minus" },
["render"] = "(15 - 8)",
["typ"] = "zavorka" },
["render"] = "(11 - (-7 - 13)) \\cdot (15 - 8)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.31, bodu=42, $$\frac{13 + \frac{4\frac{4}{8}}{-4} + 10}{-5}=\textcolor{white}{-4{,}375}$$return {
["body"] = 42,
["id"] = "dZ1Hna_1003_0758",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -4.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 8 },
["render"] = "\\frac{175}{-40}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3}{8}",
["tex_float"] = "-4{,}375",
["x"] = -4,
["y"] = 3,
["z"] = 8 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{-4} + 10",
["typ"] = "plus" },
["render"] = "13 + \\frac{4\\frac{4}{8}}{-4} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{13 + \\frac{4\\frac{4}{8}}{-4} + 10}{-5}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.32, bodu=26, $$\frac{14}{\frac{8}{-3}} \cdot 10=\textcolor{white}{-52{,}5}$$return {
["body"] = 26,
["id"] = "rj7ay8_1003_0758",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -52.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 2 },
["render"] = "\\frac{-210}{4}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{1}{2}",
["tex_float"] = "-52{,}5",
["x"] = -52,
["y"] = 1,
["z"] = 2 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-3}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{8}{-3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14}{\\frac{8}{-3}} \\cdot 10",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.33, bodu=67, $$(\frac{12}{5 \cdot 3\frac{1}{5}})^2 - 2\frac{3}{8}=\textcolor{white}{-1\frac{13}{16}}$$return {
["body"] = 67,
["id"] = "l4h8mX_1003_0758",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -1.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 16 },
["render"] = "\\frac{-232}{128}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{16}",
["x"] = -1,
["y"] = 13,
["z"] = 16 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "\\frac{12}{5 \\cdot 3\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{5 \\cdot 3\\frac{1}{5}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{5 \\cdot 3\\frac{1}{5}})^2 - 2\\frac{3}{8}",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.34, bodu=45, $$\frac{-9}{4} \cdot (4\frac{5}{12} - 7)=\textcolor{white}{5\frac{13}{16}}$$return {
["body"] = 45,
["id"] = "mFUGCX_1003_0758",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 5.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 16 },
["render"] = "\\frac{279}{48}",
["typ"] = "cislo" },
["tex"] = "5\\frac{13}{16}",
["x"] = 5,
["y"] = 13,
["z"] = 16 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.34",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 7",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{4} \\cdot (4\\frac{5}{12} - 7)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.35, bodu=46, $$\frac{12}{-10} - (-10 \cdot 2\frac{5}{9})=\textcolor{white}{24\frac{16}{45}}$$return {
["body"] = 46,
["id"] = "oG6W4j_1003_0758",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 24.355555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1096,
["jmenovatel"] = 45 },
["render"] = "\\frac{1096}{45}",
["typ"] = "cislo" },
["tex"] = "24\\frac{16}{45}",
["x"] = 24,
["y"] = 16,
["z"] = 45 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.35",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{12}{-10} - (-10 \\cdot 2\\frac{5}{9})",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.36, bodu=60, $$\frac{14}{4\frac{1}{5} \cdot (10 + 7)^2}=\textcolor{white}{\frac{10}{867}}$$return {
["body"] = 60,
["id"] = "7QU4wL_1003_0758",
["obtiznost"] = 0.676,
["reseni"] = {
["float"] = 0.011534025374856,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 867 },
["render"] = "\\frac{70}{6069}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{867}",
["y"] = 10,
["z"] = 867 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{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"] = "4\\frac{1}{5} \\cdot (10 + 7)^2",
["typ"] = "krat" },
["render"] = "\\frac{14}{4\\frac{1}{5} \\cdot (10 + 7)^2}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.37, bodu=48, $$\frac{4}{-14 \cdot -14} \cdot 2\frac{1}{5}=\textcolor{white}{\frac{11}{245}}$$return {
["body"] = 48,
["id"] = "NYdFGc_1003_0758",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.044897959183673,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 245 },
["render"] = "\\frac{11}{245}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{245}",
["y"] = 11,
["z"] = 245 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-14 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{4}{-14 \\cdot -14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-14 \\cdot -14} \\cdot 2\\frac{1}{5}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.38, bodu=49, $$-12 - \frac{-11}{8} - 1\frac{4}{8}=\textcolor{white}{-12{,}125}$$return {
["body"] = 49,
["id"] = "W1JiXh_1003_0758",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -12.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -97,
["jmenovatel"] = 8 },
["render"] = "\\frac{-194}{16}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{1}{8}",
["tex_float"] = "-12{,}125",
["x"] = -12,
["y"] = 1,
["z"] = 8 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["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"] = "-12 - \\frac{-11}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-12 - \\frac{-11}{8} - 1\\frac{4}{8}",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.39, bodu=20, $$(5 - 9)^4 \cdot (-10 - 8)=\textcolor{white}{-4608}$$return {
["body"] = 20,
["id"] = "3ZjfBU_1003_0758",
["obtiznost"] = 0.4928,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4608,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4608}{1}",
["typ"] = "cislo" },
["tex"] = "-4608",
["x"] = -4608 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 - 8",
["typ"] = "minus" },
["render"] = "(-10 - 8)",
["typ"] = "zavorka" },
["render"] = "(5 - 9)^4 \\cdot (-10 - 8)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.4, bodu=74, $$2\frac{3}{5} - (-13 \cdot 8 + 2\frac{3}{9} - (-7))=\textcolor{white}{97\frac{4}{15}}$$return {
["body"] = 74,
["id"] = "f077GQ_1003_0758",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 97.266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1459,
["jmenovatel"] = 15 },
["render"] = "\\frac{1459}{15}",
["typ"] = "cislo" },
["tex"] = "97\\frac{4}{15}",
["x"] = 97,
["y"] = 4,
["z"] = 15 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 8 + 2\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 8 + 2\\frac{3}{9} - (-7)",
["typ"] = "minus" },
["render"] = "(-13 \\cdot 8 + 2\\frac{3}{9} - (-7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{5} - (-13 \\cdot 8 + 2\\frac{3}{9} - (-7))",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.41, bodu=101, $$\frac{-12 + 4\frac{4}{9} \cdot 6}{1\frac{4}{6} - 3\frac{2}{6}}=\textcolor{white}{-8{,}8}$$return {
["body"] = 101,
["id"] = "wVQsc1_1003_0758",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -8.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 5 },
["render"] = "\\frac{132}{-15}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{5}",
["tex_float"] = "-8{,}8",
["x"] = -8,
["y"] = 4,
["z"] = 5 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot 6",
["typ"] = "krat" },
["render"] = "-12 + 4\\frac{4}{9} \\cdot 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 3\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "\\frac{-12 + 4\\frac{4}{9} \\cdot 6}{1\\frac{4}{6} - 3\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.42, bodu=34, $$\frac{10}{16 - (-4)} \cdot (8 + (-9))^2=\textcolor{white}{0{,}5}$$return {
["body"] = 34,
["id"] = "NrOgRc_1003_0758",
["obtiznost"] = 0.4208,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{1}{2}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "16 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{10}{16 - (-4)}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{10}{16 - (-4)} \\cdot (8 + (-9))^2",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.43, bodu=17, $$(13 - 9 \cdot 11) \cdot 14 \cdot 8=\textcolor{white}{-9632}$$return {
["body"] = 17,
["id"] = "ffZSig_1003_0758",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9632,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9632}{1}",
["typ"] = "cislo" },
["tex"] = "-9632",
["x"] = -9632 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11",
["typ"] = "krat" },
["render"] = "13 - 9 \\cdot 11",
["typ"] = "minus" },
["render"] = "(13 - 9 \\cdot 11)",
["typ"] = "zavorka" },
["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"] = "(13 - 9 \\cdot 11) \\cdot 14 \\cdot 8",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.44, bodu=56, $$\frac{1\frac{2}{7}}{7} - (-11 - 8) \cdot 5=\textcolor{white}{95\frac{9}{49}}$$return {
["body"] = 56,
["id"] = "QOQuWH_1003_0758",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 95.183673469388,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4664,
["jmenovatel"] = 49 },
["render"] = "\\frac{4664}{49}",
["typ"] = "cislo" },
["tex"] = "95\\frac{9}{49}",
["x"] = 95,
["y"] = 9,
["z"] = 49 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 - 8",
["typ"] = "minus" },
["render"] = "(-11 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(-11 - 8) \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{7}}{7} - (-11 - 8) \\cdot 5",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.45, bodu=57, $$9 \cdot 13 + 2\frac{1}{7} - 4 \cdot -10=\textcolor{white}{159\frac{1}{7}}$$return {
["body"] = 57,
["id"] = "bj13q6_1003_0758",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 159.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1114,
["jmenovatel"] = 7 },
["render"] = "\\frac{1114}{7}",
["typ"] = "cislo" },
["tex"] = "159\\frac{1}{7}",
["x"] = 159,
["y"] = 1,
["z"] = 7 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13 + 2\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4 \\cdot -10",
["typ"] = "krat" },
["render"] = "9 \\cdot 13 + 2\\frac{1}{7} - 4 \\cdot -10",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.46, bodu=58, $$-3 \cdot 4\frac{3}{8} \cdot 10 + 10 - 5=\textcolor{white}{-126{,}25}$$return {
["body"] = 58,
["id"] = "HxDLCF_1003_0758",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -126.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -505,
["jmenovatel"] = 4 },
["render"] = "\\frac{-505}{4}",
["typ"] = "cislo" },
["tex"] = "-126\\frac{1}{4}",
["tex_float"] = "-126{,}25",
["x"] = -126,
["y"] = 1,
["z"] = 4 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 4\\frac{3}{8} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 4\\frac{3}{8} \\cdot 10 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 4\\frac{3}{8} \\cdot 10 + 10 - 5",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.47, bodu=109, $$\frac{2\frac{4}{7} - 2\frac{2}{6}}{\frac{-9}{\frac{15}{3\frac{2}{7}}}}=\textcolor{white}{-\frac{25}{207}}$$return {
["body"] = 109,
["id"] = "xQZtEK_1003_0758",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -0.1207729468599,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 207 },
["render"] = "\\frac{175}{-1449}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{207}",
["y"] = -25,
["z"] = 207 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 2\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{15}{3\\frac{2}{7}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{7} - 2\\frac{2}{6}}{\\frac{-9}{\\frac{15}{3\\frac{2}{7}}}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.48, bodu=83, $$((9 + 13)^2 - \frac{7}{6}) \cdot 4\frac{2}{4}=\textcolor{white}{2172{,}75}$$return {
["body"] = 83,
["id"] = "YrBB1b_1003_0758",
["obtiznost"] = 0.874,
["reseni"] = {
["float"] = 2172.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8691,
["jmenovatel"] = 4 },
["render"] = "\\frac{26073}{12}",
["typ"] = "cislo" },
["tex"] = "2172\\frac{3}{4}",
["tex_float"] = "2172{,}75",
["x"] = 2172,
["y"] = 3,
["z"] = 4 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["render"] = "(9 + 13)^2 - \\frac{7}{6}",
["typ"] = "minus" },
["render"] = "((9 + 13)^2 - \\frac{7}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "((9 + 13)^2 - \\frac{7}{6}) \\cdot 4\\frac{2}{4}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.49, bodu=40, $$\frac{11 - 7}{4 - 8 \cdot 10}=\textcolor{white}{-\frac{1}{19}}$$return {
["body"] = 40,
["id"] = "ZxruGc_1003_0758",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -0.052631578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 19 },
["render"] = "\\frac{4}{-76}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{19}",
["y"] = -1,
["z"] = 19 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["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 \\cdot 10",
["typ"] = "krat" },
["render"] = "4 - 8 \\cdot 10",
["typ"] = "minus" },
["render"] = "\\frac{11 - 7}{4 - 8 \\cdot 10}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.5, bodu=41, $$9 \cdot \frac{\frac{8}{-15}}{7}=\textcolor{white}{-\frac{24}{35}}$$return {
["body"] = 41,
["id"] = "J9y7pd_1003_0758",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -0.68571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 35 },
["render"] = "\\frac{-72}{105}",
["typ"] = "cislo" },
["tex"] = "-\\frac{24}{35}",
["y"] = -24,
["z"] = 35 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{-15}}{7}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{\\frac{8}{-15}}{7}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.51, bodu=63, $$\frac{5 \cdot -9 - (-6)}{\frac{-6}{3\frac{5}{8}}}=\textcolor{white}{23\frac{9}{16}}$$return {
["body"] = 63,
["id"] = "tZzbAx_1003_0758",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 23.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 377,
["jmenovatel"] = 16 },
["render"] = "\\frac{-1131}{-48}",
["typ"] = "cislo" },
["tex"] = "23\\frac{9}{16}",
["x"] = 23,
["y"] = 9,
["z"] = 16 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 \\cdot -9 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{5 \\cdot -9 - (-6)}{\\frac{-6}{3\\frac{5}{8}}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.52, bodu=89, $$\frac{-6 - 9}{3\frac{3}{9}} \cdot 1\frac{5}{11} \cdot 8=\textcolor{white}{-52\frac{4}{11}}$$return {
["body"] = 89,
["id"] = "4lpG8d_1003_0758",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -52.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -576,
["jmenovatel"] = 11 },
["render"] = "\\frac{-1152}{22}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{4}{11}",
["x"] = -52,
["y"] = 4,
["z"] = 11 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 9}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-6 - 9}{3\\frac{3}{9}} \\cdot 1\\frac{5}{11} \\cdot 8",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.53, bodu=66, $$6 + 7 + 13 - (11 - (10 - 2\frac{1}{6}))=\textcolor{white}{22\frac{5}{6}}$$return {
["body"] = 66,
["id"] = "H89vGI_1003_0758",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 22.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 137,
["jmenovatel"] = 6 },
["render"] = "\\frac{137}{6}",
["typ"] = "cislo" },
["tex"] = "22\\frac{5}{6}",
["x"] = 22,
["y"] = 5,
["z"] = 6 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "6 + 7 + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(10 - 2\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "11 - (10 - 2\\frac{1}{6})",
["typ"] = "minus" },
["render"] = "(11 - (10 - 2\\frac{1}{6}))",
["typ"] = "zavorka" },
["render"] = "6 + 7 + 13 - (11 - (10 - 2\\frac{1}{6}))",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.54, bodu=67, $$2\frac{5}{8} \cdot (-9 - 10) - (16 - (-7))=\textcolor{white}{-72{,}875}$$return {
["body"] = 67,
["id"] = "Ainc16_1003_0758",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -72.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -583,
["jmenovatel"] = 8 },
["render"] = "\\frac{-583}{8}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{7}{8}",
["tex_float"] = "-72{,}875",
["x"] = -72,
["y"] = 7,
["z"] = 8 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 - 10",
["typ"] = "minus" },
["render"] = "(-9 - 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{8} \\cdot (-9 - 10)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "16 - (-7)",
["typ"] = "minus" },
["render"] = "(16 - (-7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{8} \\cdot (-9 - 10) - (16 - (-7))",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.55, bodu=68, $$6 - 1\frac{3}{7} + 11 \cdot -6 \cdot 15=\textcolor{white}{-985\frac{3}{7}}$$return {
["body"] = 68,
["id"] = "q9u8bj_1003_0758",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -985.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6898,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6898}{7}",
["typ"] = "cislo" },
["tex"] = "-985\\frac{3}{7}",
["x"] = -985,
["y"] = 3,
["z"] = 7 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "6 - 1\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 15",
["typ"] = "krat" },
["render"] = "11 \\cdot -6 \\cdot 15",
["typ"] = "krat" },
["render"] = "6 - 1\\frac{3}{7} + 11 \\cdot -6 \\cdot 15",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.56, bodu=47, $$\frac{15 - 17 \cdot 8}{-14 - 12}=\textcolor{white}{4\frac{17}{26}}$$return {
["body"] = 47,
["id"] = "CObeRs_1003_0758",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 4.6538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 26 },
["render"] = "\\frac{-121}{-26}",
["typ"] = "cislo" },
["tex"] = "4\\frac{17}{26}",
["x"] = 4,
["y"] = 17,
["z"] = 26 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "17 \\cdot 8",
["typ"] = "krat" },
["render"] = "15 - 17 \\cdot 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 - 12",
["typ"] = "minus" },
["render"] = "\\frac{15 - 17 \\cdot 8}{-14 - 12}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.57, bodu=48, $$\frac{-15}{\frac{-19}{-3 - 15}} \cdot -10=\textcolor{white}{142\frac{2}{19}}$$return {
["body"] = 48,
["id"] = "GxzbNk_1003_0758",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 142.10526315789,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2700,
["jmenovatel"] = 19 },
["render"] = "\\frac{2700}{19}",
["typ"] = "cislo" },
["tex"] = "142\\frac{2}{19}",
["x"] = 142,
["y"] = 2,
["z"] = 19 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-3 - 15",
["typ"] = "minus" },
["render"] = "\\frac{-19}{-3 - 15}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15}{\\frac{-19}{-3 - 15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{\\frac{-19}{-3 - 15}} \\cdot -10",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.58, bodu=30, $$-9 - (-6 \cdot (-12 - (-8))^4 \cdot -10)=\textcolor{white}{-15369}$$return {
["body"] = 30,
["id"] = "ozsX4x_1003_0758",
["obtiznost"] = 0.6828,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15369,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15369}{1}",
["typ"] = "cislo" },
["tex"] = "-15369",
["x"] = -15369 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-12 - (-8))^4",
["typ"] = "mocnina" },
["render"] = "-6 \\cdot (-12 - (-8))^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (-12 - (-8))^4 \\cdot -10",
["typ"] = "krat" },
["render"] = "-9 - (-6 \\cdot (-12 - (-8))^4 \\cdot -10)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.59, bodu=73, $$4\frac{4}{8} \cdot 14 - (-6) + 17 + 8 + 8=\textcolor{white}{102}$$return {
["body"] = 73,
["id"] = "Sh1CdI_1003_0758",
["obtiznost"] = 0.79,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 102,
["jmenovatel"] = 1 },
["render"] = "\\frac{102}{1}",
["typ"] = "cislo" },
["tex"] = "102",
["x"] = 102 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 14 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "17 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "17 + 8 + 8",
["typ"] = "plus" },
["render"] = "4\\frac{4}{8} \\cdot 14 - (-6) + 17 + 8 + 8",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.6, bodu=100, $$\frac{-15 \cdot 4\frac{2}{6}}{\frac{15}{1\frac{3}{7} - (-10)}}=\textcolor{white}{-49\frac{11}{21}}$$return {
["body"] = 100,
["id"] = "VImLJd_1003_0758",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -49.52380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1040,
["jmenovatel"] = 21 },
["render"] = "\\frac{-1040}{21}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{11}{21}",
["x"] = -49,
["y"] = 11,
["z"] = 21 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{15}{1\\frac{3}{7} - (-10)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15 \\cdot 4\\frac{2}{6}}{\\frac{15}{1\\frac{3}{7} - (-10)}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.61, bodu=94, $$\frac{(4 - 6)^3}{(7 + 12)^2} + 19 + 1\frac{2}{7} + (-6)=\textcolor{white}{14\frac{666}{2527}}$$return {
["body"] = 94,
["id"] = "CRYeDO_1003_0758",
["obtiznost"] = 0.9584,
["reseni"] = {
["float"] = 14.263553620894,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36044,
["jmenovatel"] = 2527 },
["render"] = "\\frac{36044}{2527}",
["typ"] = "cislo" },
["tex"] = "14\\frac{666}{2527}",
["x"] = 14,
["y"] = 666,
["z"] = 2527 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(4 - 6)^3}{(7 + 12)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + (-6)",
["typ"] = "plus" },
["render"] = "19 + 1\\frac{2}{7} + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{(4 - 6)^3}{(7 + 12)^2} + 19 + 1\\frac{2}{7} + (-6)",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.62, bodu=102, $$-12 + \frac{-17}{15} - \frac{2\frac{5}{10}}{4\frac{3}{10} - 11}=\textcolor{white}{-12\frac{764}{1005}}$$return {
["body"] = 102,
["id"] = "ADNdRw_1003_0758",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -12.760199004975,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12824,
["jmenovatel"] = 1005 },
["render"] = "\\frac{-12824}{1005}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{764}{1005}",
["x"] = -12,
["y"] = 764,
["z"] = 1005 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{15}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{-17}{15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{10} - 11",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{10}}{4\\frac{3}{10} - 11}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{-17}{15} - \\frac{2\\frac{5}{10}}{4\\frac{3}{10} - 11}",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.63, bodu=78, $$\frac{8 \cdot -15 - 11 \cdot 4\frac{3}{10}}{9}=\textcolor{white}{-18\frac{53}{90}}$$return {
["body"] = 78,
["id"] = "LkOtBp_1003_0758",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -18.588888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1673,
["jmenovatel"] = 90 },
["render"] = "\\frac{-1673}{90}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{53}{90}",
["x"] = -18,
["y"] = 53,
["z"] = 90 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "8 \\cdot -15 - 11 \\cdot 4\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot -15 - 11 \\cdot 4\\frac{3}{10}}{9}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.64, bodu=105, $$10 + (-10 - \frac{18 - 4\frac{3}{10} - 2\frac{4}{9}}{9})=\textcolor{white}{-1\frac{203}{810}}$$return {
["body"] = 105,
["id"] = "anirs9_1003_0758",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -1.2506172839506,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1013,
["jmenovatel"] = 810 },
["render"] = "\\frac{-1013}{810}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{203}{810}",
["x"] = -1,
["y"] = 203,
["z"] = 810 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "18 - 4\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "18 - 4\\frac{3}{10} - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{18 - 4\\frac{3}{10} - 2\\frac{4}{9}}{9}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{18 - 4\\frac{3}{10} - 2\\frac{4}{9}}{9}",
["typ"] = "minus" },
["render"] = "10 + (-10 - \\frac{18 - 4\\frac{3}{10} - 2\\frac{4}{9}}{9})",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.65, bodu=106, $$(8 + (-7 + 1\frac{3}{9})) \cdot (2\frac{2}{9} + \frac{11}{6} - 11)=\textcolor{white}{-16\frac{11}{54}}$$return {
["body"] = 106,
["id"] = "xsaV4e_1003_0758",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -16.203703703704,
["objekt"] = {
["hodnota"] = {
["citatel"] = -875,
["jmenovatel"] = 54 },
["render"] = "\\frac{-875}{54}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{11}{54}",
["x"] = -16,
["y"] = 11,
["z"] = 54 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-7 + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "8 + (-7 + 1\\frac{3}{9})",
["typ"] = "plus" },
["render"] = "(8 + (-7 + 1\\frac{3}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{9} + \\frac{11}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + \\frac{11}{6} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{9} + \\frac{11}{6} - 11)",
["typ"] = "zavorka" },
["render"] = "(8 + (-7 + 1\\frac{3}{9})) \\cdot (2\\frac{2}{9} + \\frac{11}{6} - 11)",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.66, bodu=137, $$\frac{2\frac{2}{4} - (4\frac{2}{7} + (-16 - 12)) - 4\frac{5}{7}}{9}=\textcolor{white}{2\frac{7}{18}}$$return {
["body"] = 137,
["id"] = "sYUTt4_1003_0758",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 2.3888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 18 },
["render"] = "\\frac{43}{18}",
["typ"] = "cislo" },
["tex"] = "2\\frac{7}{18}",
["x"] = 2,
["y"] = 7,
["z"] = 18 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 - 12",
["typ"] = "minus" },
["render"] = "4\\frac{2}{7} + (-16 - 12)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + (-16 - 12))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{4} - (4\\frac{2}{7} + (-16 - 12))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - (4\\frac{2}{7} + (-16 - 12)) - 4\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{4} - (4\\frac{2}{7} + (-16 - 12)) - 4\\frac{5}{7}}{9}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.67, bodu=138, $$-12 + 2\frac{3}{6} - (-13 \cdot 4\frac{3}{7}) - (3\frac{4}{11} - 11)=\textcolor{white}{55\frac{109}{154}}$$return {
["body"] = 138,
["id"] = "UQWuGe_1003_0758",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 55.707792207792,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8579,
["jmenovatel"] = 154 },
["render"] = "\\frac{8579}{154}",
["typ"] = "cislo" },
["tex"] = "55\\frac{109}{154}",
["x"] = 55,
["y"] = 109,
["z"] = 154 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{6} - (-13 \\cdot 4\\frac{3}{7})",
["typ"] = "minus" },
["render"] = "-12 + 2\\frac{3}{6} - (-13 \\cdot 4\\frac{3}{7})",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{11} - 11)",
["typ"] = "zavorka" },
["render"] = "-12 + 2\\frac{3}{6} - (-13 \\cdot 4\\frac{3}{7}) - (3\\frac{4}{11} - 11)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.68, bodu=111, $$10 - (-15 \cdot 10 + \frac{-19}{3\frac{4}{8}}) - 1\frac{5}{13}=\textcolor{white}{164\frac{4}{91}}$$return {
["body"] = 111,
["id"] = "gE9dwd_1003_0758",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 164.04395604396,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14928,
["jmenovatel"] = 91 },
["render"] = "\\frac{14928}{91}",
["typ"] = "cislo" },
["tex"] = "164\\frac{4}{91}",
["x"] = 164,
["y"] = 4,
["z"] = 91 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{3\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot 10 + \\frac{-19}{3\\frac{4}{8}}",
["typ"] = "plus" },
["render"] = "(-15 \\cdot 10 + \\frac{-19}{3\\frac{4}{8}})",
["typ"] = "zavorka" },
["render"] = "10 - (-15 \\cdot 10 + \\frac{-19}{3\\frac{4}{8}})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "10 - (-15 \\cdot 10 + \\frac{-19}{3\\frac{4}{8}}) - 1\\frac{5}{13}",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.69, bodu=62, $$-7 \cdot \frac{(16 + (-11))^2}{(-12 + 12)^2 - 14}=\textcolor{white}{12{,}5}$$return {
["body"] = 62,
["id"] = "3yziXx_1003_0758",
["obtiznost"] = 0.7008,
["reseni"] = {
["float"] = 12.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 2 },
["render"] = "\\frac{175}{14}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{2}",
["tex_float"] = "12{,}5",
["x"] = 12,
["y"] = 1,
["z"] = 2 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(16 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-12 + 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-12 + 12)^2 - 14",
["typ"] = "minus" },
["render"] = "\\frac{(16 + (-11))^2}{(-12 + 12)^2 - 14}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{(16 + (-11))^2}{(-12 + 12)^2 - 14}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.7, bodu=224, $$\frac{(-15 + (-13))^2 - (4\frac{2}{6} - 3\frac{2}{5})^2}{8 + 1\frac{3}{8}}=\textcolor{white}{83\frac{9007}{16875}}$$return {
["body"] = 224,
["id"] = "rzOJft_1003_0758",
["obtiznost"] = 1.7824,
["reseni"] = {
["float"] = 83.533748148148,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1409632,
["jmenovatel"] = 16875 },
["render"] = "\\frac{1409632}{16875}",
["typ"] = "cislo" },
["tex"] = "83\\frac{9007}{16875}",
["x"] = 83,
["y"] = 9007,
["z"] = 16875 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-15 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-15 + (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 3\\frac{2}{5}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{6} - 3\\frac{2}{5})^2",
["typ"] = "mocnina" },
["render"] = "(-15 + (-13))^2 - (4\\frac{2}{6} - 3\\frac{2}{5})^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "\\frac{(-15 + (-13))^2 - (4\\frac{2}{6} - 3\\frac{2}{5})^2}{8 + 1\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.71, bodu=88, $$\frac{\frac{2\frac{5}{8}}{11}}{(12 - 12)^2 + 3} \cdot -12=\textcolor{white}{-\frac{21}{22}}$$return {
["body"] = 88,
["id"] = "gEdeZw_1003_0758",
["obtiznost"] = 0.9104,
["reseni"] = {
["float"] = -0.95454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 22 },
["render"] = "\\frac{-84}{88}",
["typ"] = "cislo" },
["tex"] = "-\\frac{21}{22}",
["y"] = -21,
["z"] = 22 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(12 - 12)^2 + 3",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{5}{8}}{11}}{(12 - 12)^2 + 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{5}{8}}{11}}{(12 - 12)^2 + 3} \\cdot -12",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.72, bodu=116, $$\frac{3\frac{4}{9} - (-8 - (-21)) \cdot 1\frac{3}{6}}{-7}=\textcolor{white}{2\frac{37}{126}}$$return {
["body"] = 116,
["id"] = "LDc9Ni_1003_0758",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 2.2936507936508,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 126 },
["render"] = "\\frac{-289}{-126}",
["typ"] = "cislo" },
["tex"] = "2\\frac{37}{126}",
["x"] = 2,
["y"] = 37,
["z"] = 126 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-8 - (-21)",
["typ"] = "minus" },
["render"] = "(-8 - (-21))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(-8 - (-21)) \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{9} - (-8 - (-21)) \\cdot 1\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9} - (-8 - (-21)) \\cdot 1\\frac{3}{6}}{-7}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.73, bodu=118, $$-16 \cdot \frac{14 \cdot (8 - (-9))}{1\frac{4}{8} + 2\frac{1}{5}}=\textcolor{white}{-1029\frac{7}{37}}$$return {
["body"] = 118,
["id"] = "n4BYUU_1003_0758",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -1029.1891891892,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38080,
["jmenovatel"] = 37 },
["render"] = "\\frac{-38080}{37}",
["typ"] = "cislo" },
["tex"] = "-1029\\frac{7}{37}",
["x"] = -1029,
["y"] = 7,
["z"] = 37 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 - (-9)",
["typ"] = "minus" },
["render"] = "(8 - (-9))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (8 - (-9))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{14 \\cdot (8 - (-9))}{1\\frac{4}{8} + 2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "-16 \\cdot \\frac{14 \\cdot (8 - (-9))}{1\\frac{4}{8} + 2\\frac{1}{5}}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.74, bodu=119, $$(\frac{4\frac{5}{10}}{-17} + 7) \cdot (-15 - (-17 + 4\frac{2}{9}))=\textcolor{white}{-14\frac{148}{153}}$$return {
["body"] = 119,
["id"] = "5S7ZWr_1003_0758",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -14.967320261438,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2290,
["jmenovatel"] = 153 },
["render"] = "\\frac{-4580}{306}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{148}{153}",
["x"] = -14,
["y"] = 148,
["z"] = 153 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{-17} + 7",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{5}{10}}{-17} + 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-17 + 4\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(-17 + 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "-15 - (-17 + 4\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(-15 - (-17 + 4\\frac{2}{9}))",
["typ"] = "zavorka" },
["render"] = "(\\frac{4\\frac{5}{10}}{-17} + 7) \\cdot (-15 - (-17 + 4\\frac{2}{9}))",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.75, bodu=151, $$4\frac{4}{7} \cdot (2\frac{3}{9} \cdot 17 + (-18)) + 17 - 1\frac{5}{8}=\textcolor{white}{114\frac{71}{168}}$$return {
["body"] = 151,
["id"] = "r5sYOt_1003_0758",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 114.42261904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19223,
["jmenovatel"] = 168 },
["render"] = "\\frac{19223}{168}",
["typ"] = "cislo" },
["tex"] = "114\\frac{71}{168}",
["x"] = 114,
["y"] = 71,
["z"] = 168 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 17 + (-18)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{9} \\cdot 17 + (-18))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (2\\frac{3}{9} \\cdot 17 + (-18))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "17 - 1\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "4\\frac{4}{7} \\cdot (2\\frac{3}{9} \\cdot 17 + (-18)) + 17 - 1\\frac{5}{8}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.76, bodu=152, $$(2\frac{5}{11} - (-15)) \cdot (19 + (1\frac{5}{12} - (-15)) \cdot 1\frac{4}{8})=\textcolor{white}{761\frac{5}{11}}$$return {
["body"] = 152,
["id"] = "980Zcp_1003_0758",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 761.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8376,
["jmenovatel"] = 11 },
["render"] = "\\frac{67008}{88}",
["typ"] = "cislo" },
["tex"] = "761\\frac{5}{11}",
["x"] = 761,
["y"] = 5,
["z"] = 11 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - (-15)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - (-15)",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} - (-15)) \\cdot 1\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "19 + (1\\frac{5}{12} - (-15)) \\cdot 1\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(19 + (1\\frac{5}{12} - (-15)) \\cdot 1\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{11} - (-15)) \\cdot (19 + (1\\frac{5}{12} - (-15)) \\cdot 1\\frac{4}{8})",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.77, bodu=95, $$-12 \cdot -10 \cdot -13 \cdot (-13 + 4\frac{2}{5})=\textcolor{white}{13416}$$return {
["body"] = 95,
["id"] = "2zFdOw_1003_0758",
["obtiznost"] = 0.97,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13416,
["jmenovatel"] = 1 },
["render"] = "\\frac{67080}{5}",
["typ"] = "cislo" },
["tex"] = "13416",
["tex_float"] = "13416",
["x"] = 13416 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (-13 + 4\\frac{2}{5})",
["typ"] = "krat" },
["render"] = "-12 \\cdot -10 \\cdot -13 \\cdot (-13 + 4\\frac{2}{5})",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.78, bodu=115, $$\frac{4\frac{1}{10} \cdot -11}{\frac{(\frac{12}{-9})^4}{-5}}=\textcolor{white}{71\frac{179}{512}}$$return {
["body"] = 115,
["id"] = "PGDBoW_1003_0758",
["obtiznost"] = 1.1148,
["reseni"] = {
["float"] = 71.349609375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36531,
["jmenovatel"] = 512 },
["render"] = "\\frac{-182655}{-2560}",
["typ"] = "cislo" },
["tex"] = "71\\frac{179}{512}",
["x"] = 71,
["y"] = 179,
["z"] = 512 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{10} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{-9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{12}{-9})^4}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{10} \\cdot -11}{\\frac{(\\frac{12}{-9})^4}{-5}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.79, bodu=157, $$(\frac{20 - (-17)}{1\frac{5}{9} + 16} + (-9 + 1\frac{1}{10})) \cdot 3\frac{3}{6}=\textcolor{white}{-20\frac{108}{395}}$$return {
["body"] = 157,
["id"] = "0x2yoi_1003_0758",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -20.273417721519,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8008,
["jmenovatel"] = 395 },
["render"] = "\\frac{-16016}{790}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{108}{395}",
["x"] = -20,
["y"] = 108,
["z"] = 395 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "20 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 16",
["typ"] = "plus" },
["render"] = "\\frac{20 - (-17)}{1\\frac{5}{9} + 16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "\\frac{20 - (-17)}{1\\frac{5}{9} + 16} + (-9 + 1\\frac{1}{10})",
["typ"] = "plus" },
["render"] = "(\\frac{20 - (-17)}{1\\frac{5}{9} + 16} + (-9 + 1\\frac{1}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{20 - (-17)}{1\\frac{5}{9} + 16} + (-9 + 1\\frac{1}{10})) \\cdot 3\\frac{3}{6}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.8, bodu=108, $$(3\frac{4}{7} + (\frac{9}{15})^3 + \frac{-6}{20}) \cdot (19 - (-5))=\textcolor{white}{83\frac{611}{875}}$$return {
["body"] = 108,
["id"] = "4h1s9g_1003_0758",
["obtiznost"] = 1.0608,
["reseni"] = {
["float"] = 83.698285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 73236,
["jmenovatel"] = 875 },
["render"] = "\\frac{146472}{1750}",
["typ"] = "cislo" },
["tex"] = "83\\frac{611}{875}",
["x"] = 83,
["y"] = 611,
["z"] = 875 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.8",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{9}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{15})^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{7} + (\\frac{9}{15})^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{20}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{7} + (\\frac{9}{15})^3 + \\frac{-6}{20}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + (\\frac{9}{15})^3 + \\frac{-6}{20})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "19 - (-5)",
["typ"] = "minus" },
["render"] = "(19 - (-5))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{7} + (\\frac{9}{15})^3 + \\frac{-6}{20}) \\cdot (19 - (-5))",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.81, bodu=220, $$(3\frac{5}{9} + 15 + 1\frac{3}{7}) \cdot \frac{4\frac{4}{9}}{(\frac{-10}{8})^4}=\textcolor{white}{36\frac{26932}{70875}}$$return {
["body"] = 220,
["id"] = "ou0W6i_1003_0758",
["obtiznost"] = 1.7624,
["reseni"] = {
["float"] = 36.379992945326,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2578432,
["jmenovatel"] = 70875 },
["render"] = "\\frac{2578432}{70875}",
["typ"] = "cislo" },
["tex"] = "36\\frac{26932}{70875}",
["x"] = 36,
["y"] = 26932,
["z"] = 70875 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "15 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "3\\frac{5}{9} + 15 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{9} + 15 + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-10}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{9}}{(\\frac{-10}{8})^4}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{5}{9} + 15 + 1\\frac{3}{7}) \\cdot \\frac{4\\frac{4}{9}}{(\\frac{-10}{8})^4}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.82, bodu=162, $$2\frac{3}{6} - (2\frac{4}{12} + 14 + 20 \cdot (18 + \frac{-17}{2\frac{2}{9}}))=\textcolor{white}{-220\frac{5}{6}}$$return {
["body"] = 162,
["id"] = "EmXgk3_1003_0758",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = -220.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1325,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1325}{6}",
["typ"] = "cislo" },
["tex"] = "-220\\frac{5}{6}",
["x"] = -220,
["y"] = 5,
["z"] = 6 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "18 + \\frac{-17}{2\\frac{2}{9}}",
["typ"] = "plus" },
["render"] = "(18 + \\frac{-17}{2\\frac{2}{9}})",
["typ"] = "zavorka" },
["render"] = "20 \\cdot (18 + \\frac{-17}{2\\frac{2}{9}})",
["typ"] = "krat" },
["render"] = "2\\frac{4}{12} + 14 + 20 \\cdot (18 + \\frac{-17}{2\\frac{2}{9}})",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{12} + 14 + 20 \\cdot (18 + \\frac{-17}{2\\frac{2}{9}}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} - (2\\frac{4}{12} + 14 + 20 \\cdot (18 + \\frac{-17}{2\\frac{2}{9}}))",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.83, bodu=132, $$\frac{-18}{14} \cdot 21 \cdot 4\frac{5}{8} \cdot 1\frac{1}{10}=\textcolor{white}{-137\frac{29}{80}}$$return {
["body"] = 132,
["id"] = "P77dfn_1003_0758",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -137.3625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10989,
["jmenovatel"] = 80 },
["render"] = "\\frac{-10989}{80}",
["typ"] = "cislo" },
["tex"] = "-137\\frac{29}{80}",
["x"] = -137,
["y"] = 29,
["z"] = 80 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{14} \\cdot 21",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot 1\\frac{1}{10}",
["typ"] = "krat" },
["render"] = "\\frac{-18}{14} \\cdot 21 \\cdot 4\\frac{5}{8} \\cdot 1\\frac{1}{10}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.84, bodu=165, $$(3\frac{4}{8} + (-8)) \cdot 13 \cdot -14 \cdot \frac{2\frac{4}{7}}{4\frac{4}{12}}=\textcolor{white}{486}$$return {
["body"] = 165,
["id"] = "0FosHW_1003_0758",
["obtiznost"] = 1.44,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 486,
["jmenovatel"] = 1 },
["render"] = "\\frac{12636}{26}",
["typ"] = "cislo" },
["tex"] = "486",
["tex_float"] = "486",
["x"] = 486 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(3\\frac{4}{8} + (-8)) \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{4\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{2\\frac{4}{7}}{4\\frac{4}{12}}",
["typ"] = "krat" },
["render"] = "(3\\frac{4}{8} + (-8)) \\cdot 13 \\cdot -14 \\cdot \\frac{2\\frac{4}{7}}{4\\frac{4}{12}}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.85, bodu=167, $$-11 \cdot 3\frac{3}{5} + 3\frac{4}{11} + (-8) - (-8 + 3\frac{5}{11}) - (-18)=\textcolor{white}{-21\frac{38}{55}}$$return {
["body"] = 167,
["id"] = "L8hf4F_1003_0758",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -21.690909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1193,
["jmenovatel"] = 55 },
["render"] = "\\frac{-1193}{55}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{38}{55}",
["x"] = -21,
["y"] = 38,
["z"] = 55 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 3\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} + (-8)",
["typ"] = "plus" },
["render"] = "-11 \\cdot 3\\frac{3}{5} + 3\\frac{4}{11} + (-8)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-8 + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot 3\\frac{3}{5} + 3\\frac{4}{11} + (-8) - (-8 + 3\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 3\\frac{3}{5} + 3\\frac{4}{11} + (-8) - (-8 + 3\\frac{5}{11}) - (-18)",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.86, bodu=238, $$\frac{3\frac{3}{9} \cdot (4\frac{4}{13} + (-12))}{3\frac{1}{4} + 3\frac{2}{5} - 7 + 3\frac{2}{11}}=\textcolor{white}{-9\frac{1327}{24297}}$$return {
["body"] = 238,
["id"] = "T1eISO_1003_0758",
["obtiznost"] = 1.86,
["reseni"] = {
["float"] = -9.0546157961888,
["objekt"] = {
["hodnota"] = {
["citatel"] = -220000,
["jmenovatel"] = 24297 },
["render"] = "\\frac{-220000}{24297}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{1327}{24297}",
["x"] = -9,
["y"] = 1327,
["z"] = 24297 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} + (-12)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{13} + (-12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{9} \\cdot (4\\frac{4}{13} + (-12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 3\\frac{2}{5} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 3\\frac{2}{5} - 7 + 3\\frac{2}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{9} \\cdot (4\\frac{4}{13} + (-12))}{3\\frac{1}{4} + 3\\frac{2}{5} - 7 + 3\\frac{2}{11}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.87, bodu=240, $$-6 + 4\frac{3}{10} - 4\frac{2}{10} \cdot 2\frac{2}{9} \cdot 2\frac{3}{12} \cdot 3\frac{3}{7}=\textcolor{white}{-73{,}7}$$return {
["body"] = 240,
["id"] = "Fd0Spo_1003_0758",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = -73.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = -737,
["jmenovatel"] = 10 },
["render"] = "\\frac{-737}{10}",
["typ"] = "cislo" },
["tex"] = "-73\\frac{7}{10}",
["tex_float"] = "-73{,}7",
["x"] = -73,
["y"] = 7,
["z"] = 10 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "2\\frac{2}{9} \\cdot 2\\frac{3}{12} \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{10} \\cdot 2\\frac{2}{9} \\cdot 2\\frac{3}{12} \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{3}{10} - 4\\frac{2}{10} \\cdot 2\\frac{2}{9} \\cdot 2\\frac{3}{12} \\cdot 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "-6 + 4\\frac{3}{10} - 4\\frac{2}{10} \\cdot 2\\frac{2}{9} \\cdot 2\\frac{3}{12} \\cdot 3\\frac{3}{7}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.88, bodu=241, $$(4\frac{5}{12} - 1\frac{4}{8} + \frac{3\frac{2}{5}}{1\frac{3}{9}}) \cdot (1\frac{1}{7} + 13 - (-15))=\textcolor{white}{159\frac{11}{35}}$$return {
["body"] = 241,
["id"] = "esTB7D_1003_0758",
["obtiznost"] = 1.88,
["reseni"] = {
["float"] = 159.31428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5576,
["jmenovatel"] = 35 },
["render"] = "\\frac{16728}{105}",
["typ"] = "cislo" },
["tex"] = "159\\frac{11}{35}",
["x"] = 159,
["y"] = 11,
["z"] = 35 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 1\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{12} - 1\\frac{4}{8} + \\frac{3\\frac{2}{5}}{1\\frac{3}{9}}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{12} - 1\\frac{4}{8} + \\frac{3\\frac{2}{5}}{1\\frac{3}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 13 - (-15)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{7} + 13 - (-15))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{5}{12} - 1\\frac{4}{8} + \\frac{3\\frac{2}{5}}{1\\frac{3}{9}}) \\cdot (1\\frac{1}{7} + 13 - (-15))",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.89, bodu=207, $$4\frac{5}{10} + 2\frac{5}{8} - (7 - (-3) - \frac{9 + 2\frac{4}{7}}{4\frac{4}{10}})=\textcolor{white}{-\frac{151}{616}}$$return {
["body"] = 207,
["id"] = "D6T84O_1003_0758",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -0.24512987012987,
["objekt"] = {
["hodnota"] = {
["citatel"] = -151,
["jmenovatel"] = 616 },
["render"] = "\\frac{-302}{1232}",
["typ"] = "cislo" },
["tex"] = "-\\frac{151}{616}",
["y"] = -151,
["z"] = 616 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 2\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "7 - (-3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 2\\frac{4}{7}}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "7 - (-3) - \\frac{9 + 2\\frac{4}{7}}{4\\frac{4}{10}}",
["typ"] = "minus" },
["render"] = "(7 - (-3) - \\frac{9 + 2\\frac{4}{7}}{4\\frac{4}{10}})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} + 2\\frac{5}{8} - (7 - (-3) - \\frac{9 + 2\\frac{4}{7}}{4\\frac{4}{10}})",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.9, bodu=177, $$\frac{\frac{18}{(\frac{-19}{13})^2 - (-18)}}{1\frac{1}{11}} + 4\frac{5}{12}=\textcolor{white}{5\frac{9641}{40836}}$$return {
["body"] = 177,
["id"] = "gSatyn_1003_0758",
["obtiznost"] = 1.512,
["reseni"] = {
["float"] = 5.2360907042805,
["objekt"] = {
["hodnota"] = {
["citatel"] = 213821,
["jmenovatel"] = 40836 },
["render"] = "\\frac{427642}{81672}",
["typ"] = "cislo" },
["tex"] = "5\\frac{9641}{40836}",
["x"] = 5,
["y"] = 9641,
["z"] = 40836 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-19}{13})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(\\frac{-19}{13})^2 - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{18}{(\\frac{-19}{13})^2 - (-18)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{18}{(\\frac{-19}{13})^2 - (-18)}}{1\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{18}{(\\frac{-19}{13})^2 - (-18)}}{1\\frac{1}{11}} + 4\\frac{5}{12}",
["typ"] = "plus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.91, bodu=176, $$\frac{12 \cdot (3\frac{3}{12} + 1\frac{4}{8})}{-8} - (1\frac{4}{12} - (-21))=\textcolor{white}{-29\frac{11}{24}}$$return {
["body"] = 176,
["id"] = "8ndMa1_1003_0758",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -29.458333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -707,
["jmenovatel"] = 24 },
["render"] = "\\frac{-707}{24}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{11}{24}",
["x"] = -29,
["y"] = 11,
["z"] = 24 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{12} + 1\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{12} + 1\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (3\\frac{3}{12} + 1\\frac{4}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot (3\\frac{3}{12} + 1\\frac{4}{8})}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} - (-21)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{12} - (-21))",
["typ"] = "zavorka" },
["render"] = "\\frac{12 \\cdot (3\\frac{3}{12} + 1\\frac{4}{8})}{-8} - (1\\frac{4}{12} - (-21))",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.92, bodu=178, $$\frac{2\frac{1}{7} - 3\frac{4}{9} \cdot 2\frac{2}{4} \cdot 11}{(-15 + 15)^3 + 2}=\textcolor{white}{-46\frac{73}{252}}$$return {
["body"] = 178,
["id"] = "VJejAs_1003_0758",
["obtiznost"] = 1.5204,
["reseni"] = {
["float"] = -46.289682539683,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11665,
["jmenovatel"] = 252 },
["render"] = "\\frac{-11665}{252}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{73}{252}",
["x"] = -46,
["y"] = 73,
["z"] = 252 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot 11",
["typ"] = "krat" },
["render"] = "3\\frac{4}{9} \\cdot 2\\frac{2}{4} \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{1}{7} - 3\\frac{4}{9} \\cdot 2\\frac{2}{4} \\cdot 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 + 15",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 15)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(-15 + 15)^3 + 2",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{7} - 3\\frac{4}{9} \\cdot 2\\frac{2}{4} \\cdot 11}{(-15 + 15)^3 + 2}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.93, bodu=118, $$\frac{1\frac{3}{8}}{10 - (-16) + 14 - \frac{15}{11}}=\textcolor{white}{\frac{121}{3400}}$$return {
["body"] = 118,
["id"] = "Ku9kMu_1003_0758",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 0.035588235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 3400 },
["render"] = "\\frac{121}{3400}",
["typ"] = "cislo" },
["tex"] = "\\frac{121}{3400}",
["y"] = 121,
["z"] = 3400 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "10 - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 - (-16) + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{11}",
["typ"] = "lomeno" },
["render"] = "10 - (-16) + 14 - \\frac{15}{11}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{8}}{10 - (-16) + 14 - \\frac{15}{11}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.94, bodu=149, $$(6 + (-20 \cdot 3\frac{1}{9})) \cdot -12 \cdot 4\frac{4}{13} \cdot -8=\textcolor{white}{-23250\frac{2}{39}}$$return {
["body"] = 149,
["id"] = "N0eap6_1003_0758",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -23250.051282051,
["objekt"] = {
["hodnota"] = {
["citatel"] = -906752,
["jmenovatel"] = 39 },
["render"] = "\\frac{-906752}{39}",
["typ"] = "cislo" },
["tex"] = "-23250\\frac{2}{39}",
["x"] = -23250,
["y"] = 2,
["z"] = 39 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-20 \\cdot 3\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "6 + (-20 \\cdot 3\\frac{1}{9})",
["typ"] = "plus" },
["render"] = "(6 + (-20 \\cdot 3\\frac{1}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(6 + (-20 \\cdot 3\\frac{1}{9})) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} \\cdot -8",
["typ"] = "krat" },
["render"] = "(6 + (-20 \\cdot 3\\frac{1}{9})) \\cdot -12 \\cdot 4\\frac{4}{13} \\cdot -8",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.95, bodu=183, $$(1\frac{2}{7} + 3\frac{3}{7}) \cdot (-10 + \frac{-23}{\frac{-21}{4\frac{2}{7}}})=\textcolor{white}{-25\frac{5}{343}}$$return {
["body"] = 183,
["id"] = "CnusF2_1003_0758",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -25.014577259475,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8580,
["jmenovatel"] = 343 },
["render"] = "\\frac{-8580}{343}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{5}{343}",
["x"] = -25,
["y"] = 5,
["z"] = 343 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + 3\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-23}{\\frac{-21}{4\\frac{2}{7}}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{-23}{\\frac{-21}{4\\frac{2}{7}}}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{-23}{\\frac{-21}{4\\frac{2}{7}}})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{7} + 3\\frac{3}{7}) \\cdot (-10 + \\frac{-23}{\\frac{-21}{4\\frac{2}{7}}})",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.96, bodu=257, $$-8 - (4\frac{2}{12} - (2\frac{2}{9} - 4\frac{2}{9})^3) - 3\frac{2}{6} \cdot 2\frac{5}{7}=\textcolor{white}{-29\frac{3}{14}}$$return {
["body"] = 257,
["id"] = "cRkyRf_1003_0758",
["obtiznost"] = 1.9636,
["reseni"] = {
["float"] = -29.214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -409,
["jmenovatel"] = 14 },
["render"] = "\\frac{-3681}{126}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{3}{14}",
["x"] = -29,
["y"] = 3,
["z"] = 14 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 4\\frac{2}{9}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{9} - 4\\frac{2}{9})^3",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{12} - (2\\frac{2}{9} - 4\\frac{2}{9})^3",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{12} - (2\\frac{2}{9} - 4\\frac{2}{9})^3)",
["typ"] = "zavorka" },
["render"] = "-8 - (4\\frac{2}{12} - (2\\frac{2}{9} - 4\\frac{2}{9})^3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot 2\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "-8 - (4\\frac{2}{12} - (2\\frac{2}{9} - 4\\frac{2}{9})^3) - 3\\frac{2}{6} \\cdot 2\\frac{5}{7}",
["typ"] = "minus" } }
seed: u3xDThqo7uvdFeRxsOeG_0.97, bodu=154, $$\frac{15 + 10 \cdot 4\frac{3}{6}}{-10 - (-11 + 8)^2 + 2\frac{3}{10}}=\textcolor{white}{-3\frac{99}{167}}$$return {
["body"] = 154,
["id"] = "YoOBct_1003_0758",
["obtiznost"] = 1.374,
["reseni"] = {
["float"] = -3.5928143712575,
["objekt"] = {
["hodnota"] = {
["citatel"] = -600,
["jmenovatel"] = 167 },
["render"] = "\\frac{600}{-167}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{99}{167}",
["x"] = -3,
["y"] = 99,
["z"] = 167 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "15 + 10 \\cdot 4\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 8)^2",
["typ"] = "mocnina" },
["render"] = "-10 - (-11 + 8)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-10 - (-11 + 8)^2 + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{15 + 10 \\cdot 4\\frac{3}{6}}{-10 - (-11 + 8)^2 + 2\\frac{3}{10}}",
["typ"] = "lomeno" } }
seed: u3xDThqo7uvdFeRxsOeG_0.98, bodu=155, $$(7 + 12 \cdot 15) \cdot \frac{2\frac{2}{11} + (-6)}{2\frac{3}{12}}=\textcolor{white}{-317\frac{1}{3}}$$return {
["body"] = 155,
["id"] = "cAV1ko_1003_0758",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -317.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -952,
["jmenovatel"] = 3 },
["render"] = "\\frac{-10472}{33}",
["typ"] = "cislo" },
["tex"] = "-317\\frac{1}{3}",
["x"] = -317,
["y"] = 1,
["z"] = 3 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.98",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 \\cdot 15",
["typ"] = "krat" },
["render"] = "7 + 12 \\cdot 15",
["typ"] = "plus" },
["render"] = "(7 + 12 \\cdot 15)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{11} + (-6)}{2\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "(7 + 12 \\cdot 15) \\cdot \\frac{2\\frac{2}{11} + (-6)}{2\\frac{3}{12}}",
["typ"] = "krat" } }
seed: u3xDThqo7uvdFeRxsOeG_0.99, bodu=190, $$16 \cdot (1\frac{1}{4} - 16) - \frac{4\frac{2}{7} \cdot -21}{1\frac{3}{12}}=\textcolor{white}{-164}$$return {
["body"] = 190,
["id"] = "s88zYU_1003_0758",
["obtiznost"] = 1.59,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -164,
["jmenovatel"] = 1 },
["render"] = "\\frac{-164}{1}",
["typ"] = "cislo" },
["tex"] = "-164",
["tex_float"] = "-164",
["x"] = -164 },
["seed"] = "u3xDThqo7uvdFeRxsOeG_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} - 16",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{4} - 16)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (1\\frac{1}{4} - 16)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7} \\cdot -21}{1\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot (1\\frac{1}{4} - 16) - \\frac{4\\frac{2}{7} \\cdot -21}{1\\frac{3}{12}}",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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5ba.gif: 
AS001921_15.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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ecstatic-gif-4.gif: 
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ecstatic.gif: 
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gsfdgiphy.gif: 
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vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 