- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 4ncQu7Vu9Kc7vqytRVK5_0, bodu=5, $$7 \cdot 3 + 6 + 7=\textcolor{white}{34}$$return {
["body"] = 5,
["id"] = "y09Er8_0531_1516",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 1 },
["render"] = "\\frac{34}{1}",
["typ"] = "cislo" },
["tex"] = "34",
["tex_float"] = "34",
["x"] = 34 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "7 \\cdot 3 + 6 + 7",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.01, bodu=10, $$\frac{\frac{6}{7} + 3}{8}=\textcolor{white}{\frac{27}{56}}$$return {
["body"] = 10,
["id"] = "RfJLPM_0531_1516",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.48214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 56 },
["render"] = "\\frac{27}{56}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{56}",
["y"] = 27,
["z"] = 56 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7} + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{7} + 3}{8}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.02, bodu=10, $$6 + 4 - \frac{9}{-6}=\textcolor{white}{11{,}5}$$return {
["body"] = 10,
["id"] = "Zzg5vL_0531_1516",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 11.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 2 },
["render"] = "\\frac{23}{2}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{2}",
["tex_float"] = "11{,}5",
["x"] = 11,
["y"] = 1,
["z"] = 2 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-6}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{9}{-6}",
["typ"] = "minus" },
["render"] = "6 + 4 - \\frac{9}{-6}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.03, bodu=5, $$10 \cdot 7 \cdot -4=\textcolor{white}{-280}$$return {
["body"] = 5,
["id"] = "zmgtHf_0531_1516",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 1 },
["render"] = "\\frac{-280}{1}",
["typ"] = "cislo" },
["tex"] = "-280",
["x"] = -280 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "7 \\cdot -4",
["typ"] = "krat" },
["render"] = "10 \\cdot 7 \\cdot -4",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.04, bodu=5, $$-6 \cdot (9 - (-8)) - 11=\textcolor{white}{-113}$$return {
["body"] = 5,
["id"] = "ggaEcc_0531_1516",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -113,
["jmenovatel"] = 1 },
["render"] = "\\frac{-113}{1}",
["typ"] = "cislo" },
["tex"] = "-113",
["x"] = -113 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 - (-8)",
["typ"] = "minus" },
["render"] = "(9 - (-8))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (9 - (-8))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (9 - (-8)) - 11",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.05, bodu=11, $$\frac{-6 + 7 \cdot 5}{7}=\textcolor{white}{4\frac{1}{7}}$$return {
["body"] = 11,
["id"] = "zqNOpj_0531_1516",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 4.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "\\frac{29}{7}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{7}",
["x"] = 4,
["y"] = 1,
["z"] = 7 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5",
["typ"] = "krat" },
["render"] = "-6 + 7 \\cdot 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + 7 \\cdot 5}{7}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.06, bodu=11, $$\frac{4 \cdot -5}{6}=\textcolor{white}{-3\frac{1}{3}}$$return {
["body"] = 11,
["id"] = "In0Q3g_0531_1516",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 3 },
["render"] = "\\frac{-20}{6}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{3}",
["x"] = -3,
["y"] = 1,
["z"] = 3 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot -5}{6}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.07, bodu=11, $$\frac{6 + 3}{6} + 10=\textcolor{white}{11{,}5}$$return {
["body"] = 11,
["id"] = "ctM3NF_0531_1516",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 11.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 2 },
["render"] = "\\frac{23}{2}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{2}",
["tex_float"] = "11{,}5",
["x"] = 11,
["y"] = 1,
["z"] = 2 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 3}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 3}{6} + 10",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.08, bodu=6, $$10 - (7 - (7 + 7))=\textcolor{white}{17}$$return {
["body"] = 6,
["id"] = "CBUArY_0531_1516",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7)",
["typ"] = "zavorka" },
["render"] = "7 - (7 + 7)",
["typ"] = "minus" },
["render"] = "(7 - (7 + 7))",
["typ"] = "zavorka" },
["render"] = "10 - (7 - (7 + 7))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.09, bodu=12, $$6 + 7 + \frac{-9}{9}=\textcolor{white}{12}$$return {
["body"] = 12,
["id"] = "7ukdcS_0531_1516",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{9}",
["typ"] = "lomeno" },
["render"] = "6 + 7 + \\frac{-9}{9}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.1, bodu=6, $$12 \cdot 5 \cdot 8=\textcolor{white}{480}$$return {
["body"] = 6,
["id"] = "3S6Qcy_0531_1516",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 480,
["jmenovatel"] = 1 },
["render"] = "\\frac{480}{1}",
["typ"] = "cislo" },
["tex"] = "480",
["x"] = 480 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["render"] = "12 \\cdot 5 \\cdot 8",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.11, bodu=42, $$-9 - (4\frac{3}{7} - (-6) + 2\frac{3}{7})=\textcolor{white}{-21\frac{6}{7}}$$return {
["body"] = 42,
["id"] = "XQWR3X_0531_1516",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -21.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 7 },
["render"] = "\\frac{-153}{7}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{6}{7}",
["x"] = -21,
["y"] = 6,
["z"] = 7 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - (-6) + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} - (-6) + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-9 - (4\\frac{3}{7} - (-6) + 2\\frac{3}{7})",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.12, bodu=13, $$\frac{-9}{-3} + 3 + 11=\textcolor{white}{17}$$return {
["body"] = 13,
["id"] = "8Yl7yo_0531_1516",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3 + 11",
["typ"] = "plus" },
["render"] = "\\frac{-9}{-3} + 3 + 11",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.13, bodu=14, $$\frac{-10 + (-7)}{7 \cdot 7}=\textcolor{white}{-\frac{17}{49}}$$return {
["body"] = 14,
["id"] = "W3ljBZ_0531_1516",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -0.3469387755102,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 49 },
["render"] = "\\frac{-17}{49}",
["typ"] = "cislo" },
["tex"] = "-\\frac{17}{49}",
["y"] = -17,
["z"] = 49 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.13",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{-10 + (-7)}{7 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.14, bodu=38, $$(\frac{(8 - 6 - 5)^3}{8})^2=\textcolor{white}{11\frac{25}{64}}$$return {
["body"] = 38,
["id"] = "P5RGCu_0531_1516",
["obtiznost"] = 0.4684,
["reseni"] = {
["float"] = 11.390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 64 },
["render"] = "\\frac{729}{64}",
["typ"] = "cislo" },
["tex"] = "11\\frac{25}{64}",
["x"] = 11,
["y"] = 25,
["z"] = 64 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 - 6 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 6 - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(8 - 6 - 5)^3}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(8 - 6 - 5)^3}{8})^2",
["typ"] = "mocnina" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.15, bodu=15, $$\frac{-4}{11} \cdot 10=\textcolor{white}{-3\frac{7}{11}}$$return {
["body"] = 15,
["id"] = "n5xDn5_0531_1516",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -3.6363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 11 },
["render"] = "\\frac{-40}{11}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{7}{11}",
["x"] = -3,
["y"] = 7,
["z"] = 11 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{11} \\cdot 10",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.16, bodu=29, $$(5 \cdot 2\frac{1}{4} + (-9)) \cdot 10=\textcolor{white}{22{,}5}$$return {
["body"] = 29,
["id"] = "5Y3qVx_0531_1516",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 22.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 2 },
["render"] = "\\frac{90}{4}",
["typ"] = "cislo" },
["tex"] = "22\\frac{1}{2}",
["tex_float"] = "22{,}5",
["x"] = 22,
["y"] = 1,
["z"] = 2 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.16",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{1}{4} + (-9)",
["typ"] = "plus" },
["render"] = "(5 \\cdot 2\\frac{1}{4} + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(5 \\cdot 2\\frac{1}{4} + (-9)) \\cdot 10",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.17, bodu=30, $$\frac{7 \cdot 4\frac{2}{6} - 5}{10}=\textcolor{white}{2\frac{8}{15}}$$return {
["body"] = 30,
["id"] = "YL37uW_0531_1516",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 2.5333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 15 },
["render"] = "\\frac{76}{30}",
["typ"] = "cislo" },
["tex"] = "2\\frac{8}{15}",
["x"] = 2,
["y"] = 8,
["z"] = 15 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4\\frac{2}{6} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 4\\frac{2}{6} - 5}{10}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.18, bodu=16, $$7 \cdot \frac{11}{4}=\textcolor{white}{19{,}25}$$return {
["body"] = 16,
["id"] = "sYzTX4_0531_1516",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 19.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 4 },
["render"] = "\\frac{77}{4}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{4}",
["tex_float"] = "19{,}25",
["x"] = 19,
["y"] = 1,
["z"] = 4 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{11}{4}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.19, bodu=17, $$\frac{4}{\frac{11 + 6}{-5}}=\textcolor{white}{-1\frac{3}{17}}$$return {
["body"] = 17,
["id"] = "o6qE2x_0531_1516",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -1.1764705882353,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 17 },
["render"] = "\\frac{20}{-17}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{17}",
["x"] = -1,
["y"] = 3,
["z"] = 17 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 6}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{11 + 6}{-5}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.2, bodu=32, $$7 + \frac{4 + (-9)}{4\frac{4}{6} + (-7)}=\textcolor{white}{9\frac{1}{7}}$$return {
["body"] = 32,
["id"] = "vUGYr0_0531_1516",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 9.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 7 },
["render"] = "\\frac{64}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{7}",
["x"] = 9,
["y"] = 1,
["z"] = 7 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{4 + (-9)}{4\\frac{4}{6} + (-7)}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{4 + (-9)}{4\\frac{4}{6} + (-7)}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.21, bodu=52, $$\frac{3\frac{5}{9}}{4\frac{2}{7} - (10 - 6)}=\textcolor{white}{12\frac{4}{9}}$$return {
["body"] = 52,
["id"] = "rsm5kN_0531_1516",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 12.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 112,
["jmenovatel"] = 9 },
["render"] = "\\frac{224}{18}",
["typ"] = "cislo" },
["tex"] = "12\\frac{4}{9}",
["x"] = 12,
["y"] = 4,
["z"] = 9 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["render"] = "(10 - 6)",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} - (10 - 6)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{9}}{4\\frac{2}{7} - (10 - 6)}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.22, bodu=42, $$\frac{10}{(9 - (11 + 7))^3 + (-6)}=\textcolor{white}{-\frac{2}{147}}$$return {
["body"] = 42,
["id"] = "rfIbTu_0531_1516",
["obtiznost"] = 0.512,
["reseni"] = {
["float"] = -0.013605442176871,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 147 },
["render"] = "\\frac{10}{-735}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{147}",
["y"] = -2,
["z"] = 147 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "(11 + 7)",
["typ"] = "zavorka" },
["render"] = "9 - (11 + 7)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - (11 + 7))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(9 - (11 + 7))^3 + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{10}{(9 - (11 + 7))^3 + (-6)}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.23, bodu=35, $$\frac{2\frac{1}{6}}{7 - 12 - 6}=\textcolor{white}{-\frac{13}{66}}$$return {
["body"] = 35,
["id"] = "OIounP_0531_1516",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -0.1969696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 66 },
["render"] = "\\frac{13}{-66}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{66}",
["y"] = -13,
["z"] = 66 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 12 - 6",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{6}}{7 - 12 - 6}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.24, bodu=36, $$\frac{-2 \cdot 6}{4\frac{1}{3}} \cdot -8=\textcolor{white}{22\frac{2}{13}}$$return {
["body"] = 36,
["id"] = "UXwkPD_0531_1516",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 22.153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 288,
["jmenovatel"] = 13 },
["render"] = "\\frac{288}{13}",
["typ"] = "cislo" },
["tex"] = "22\\frac{2}{13}",
["x"] = 22,
["y"] = 2,
["z"] = 13 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-2 \\cdot 6}{4\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-2 \\cdot 6}{4\\frac{1}{3}} \\cdot -8",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.25, bodu=21, $$\frac{\frac{-10}{\frac{9}{10}}}{-7}=\textcolor{white}{1\frac{37}{63}}$$return {
["body"] = 21,
["id"] = "3POL53_0531_1516",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 1.5873015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100,
["jmenovatel"] = 63 },
["render"] = "\\frac{-100}{-63}",
["typ"] = "cislo" },
["tex"] = "1\\frac{37}{63}",
["x"] = 1,
["y"] = 37,
["z"] = 63 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{-10}{\\frac{9}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{\\frac{9}{10}}}{-7}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.26, bodu=41, $$(7 - 6)^2 + (7 + 2)^2 - 3\frac{3}{7}=\textcolor{white}{78\frac{4}{7}}$$return {
["body"] = 41,
["id"] = "M1pOrA_0531_1516",
["obtiznost"] = 0.4936,
["reseni"] = {
["float"] = 78.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 550,
["jmenovatel"] = 7 },
["render"] = "\\frac{550}{7}",
["typ"] = "cislo" },
["tex"] = "78\\frac{4}{7}",
["x"] = 78,
["y"] = 4,
["z"] = 7 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "7 + 2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 2)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(7 + 2)^2 - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(7 - 6)^2 + (7 + 2)^2 - 3\\frac{3}{7}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.27, bodu=38, $$7 + 3\frac{3}{8} \cdot 9 \cdot -7=\textcolor{white}{-205{,}625}$$return {
["body"] = 38,
["id"] = "4UeeHy_0531_1516",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -205.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1645,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1645}{8}",
["typ"] = "cislo" },
["tex"] = "-205\\frac{5}{8}",
["tex_float"] = "-205{,}625",
["x"] = -205,
["y"] = 5,
["z"] = 8 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 \\cdot -7",
["typ"] = "krat" },
["render"] = "3\\frac{3}{8} \\cdot 9 \\cdot -7",
["typ"] = "krat" },
["render"] = "7 + 3\\frac{3}{8} \\cdot 9 \\cdot -7",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.28, bodu=39, $$(\frac{1\frac{5}{7}}{13} - 9) \cdot (3 + (-14))=\textcolor{white}{97\frac{50}{91}}$$return {
["body"] = 39,
["id"] = "ZjiTw7_0531_1516",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 97.549450549451,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8877,
["jmenovatel"] = 91 },
["render"] = "\\frac{8877}{91}",
["typ"] = "cislo" },
["tex"] = "97\\frac{50}{91}",
["x"] = 97,
["y"] = 50,
["z"] = 91 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{7}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{7}}{13} - 9",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{5}{7}}{13} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3 + (-14)",
["typ"] = "plus" },
["render"] = "(3 + (-14))",
["typ"] = "zavorka" },
["render"] = "(\\frac{1\\frac{5}{7}}{13} - 9) \\cdot (3 + (-14))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.29, bodu=40, $$\frac{-9 \cdot 13}{11} \cdot 4\frac{1}{6}=\textcolor{white}{-44\frac{7}{22}}$$return {
["body"] = 40,
["id"] = "cgucPB_0531_1516",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -44.318181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -975,
["jmenovatel"] = 22 },
["render"] = "\\frac{-2925}{66}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{7}{22}",
["x"] = -44,
["y"] = 7,
["z"] = 22 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.29",
["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"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 13}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 13}{11} \\cdot 4\\frac{1}{6}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.3, bodu=62, $$\frac{-4 + 4\frac{5}{11} - 2\frac{2}{7} \cdot 6}{-11}=\textcolor{white}{1\frac{174}{847}}$$return {
["body"] = 62,
["id"] = "Gk7ApE_0531_1516",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 1.2054309327037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1021,
["jmenovatel"] = 847 },
["render"] = "\\frac{-1021}{-847}",
["typ"] = "cislo" },
["tex"] = "1\\frac{174}{847}",
["x"] = 1,
["y"] = 174,
["z"] = 847 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-4 + 4\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 6",
["typ"] = "krat" },
["render"] = "-4 + 4\\frac{5}{11} - 2\\frac{2}{7} \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-4 + 4\\frac{5}{11} - 2\\frac{2}{7} \\cdot 6}{-11}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.31, bodu=42, $$(2\frac{5}{8} + 9) \cdot (10 - 9 \cdot -4)=\textcolor{white}{534{,}75}$$return {
["body"] = 42,
["id"] = "pHwHH5_0531_1516",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 534.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2139,
["jmenovatel"] = 4 },
["render"] = "\\frac{4278}{8}",
["typ"] = "cislo" },
["tex"] = "534\\frac{3}{4}",
["tex_float"] = "534{,}75",
["x"] = 534,
["y"] = 3,
["z"] = 4 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 9",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{8} + 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "9 \\cdot -4",
["typ"] = "krat" },
["render"] = "10 - 9 \\cdot -4",
["typ"] = "minus" },
["render"] = "(10 - 9 \\cdot -4)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{8} + 9) \\cdot (10 - 9 \\cdot -4)",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.32, bodu=65, $$\frac{(-7 + 11)^2}{2\frac{3}{4}} + 3\frac{4}{5} - 12=\textcolor{white}{-2\frac{21}{55}}$$return {
["body"] = 65,
["id"] = "lqCYbM_0531_1516",
["obtiznost"] = 0.7268,
["reseni"] = {
["float"] = -2.3818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -131,
["jmenovatel"] = 55 },
["render"] = "\\frac{-131}{55}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{21}{55}",
["x"] = -2,
["y"] = 21,
["z"] = 55 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(-7 + 11)^2}{2\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} - 12",
["typ"] = "minus" },
["render"] = "\\frac{(-7 + 11)^2}{2\\frac{3}{4}} + 3\\frac{4}{5} - 12",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.33, bodu=44, $$7 \cdot 9 \cdot (2\frac{2}{4} + (-7))=\textcolor{white}{-283{,}5}$$return {
["body"] = 44,
["id"] = "RXXGuT_0531_1516",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -283.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -567,
["jmenovatel"] = 2 },
["render"] = "\\frac{-567}{2}",
["typ"] = "cislo" },
["tex"] = "-283\\frac{1}{2}",
["tex_float"] = "-283{,}5",
["x"] = -283,
["y"] = 1,
["z"] = 2 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + (-7)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{4} + (-7))",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 9 \\cdot (2\\frac{2}{4} + (-7))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.34, bodu=27, $$\frac{\frac{-7}{-8}}{9} - 4=\textcolor{white}{-3\frac{65}{72}}$$return {
["body"] = 27,
["id"] = "T3T5KB_0531_1516",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -3.9027777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -281,
["jmenovatel"] = 72 },
["render"] = "\\frac{-281}{72}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{65}{72}",
["x"] = -3,
["y"] = 65,
["z"] = 72 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{-8}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{-8}}{9} - 4",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.35, bodu=14, $$-5 \cdot (-10 - (-8 \cdot -15))=\textcolor{white}{650}$$return {
["body"] = 14,
["id"] = "DYLEpd_0531_1516",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 650,
["jmenovatel"] = 1 },
["render"] = "\\frac{650}{1}",
["typ"] = "cislo" },
["tex"] = "650",
["tex_float"] = "650",
["x"] = 650 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-10 - (-8 \\cdot -15)",
["typ"] = "minus" },
["render"] = "(-10 - (-8 \\cdot -15))",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (-10 - (-8 \\cdot -15))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.36, bodu=15, $$13 \cdot 6 \cdot (-5 + 13)^2=\textcolor{white}{4992}$$return {
["body"] = 15,
["id"] = "Mzb1FL_0531_1516",
["obtiznost"] = 0.386,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4992,
["jmenovatel"] = 1 },
["render"] = "\\frac{4992}{1}",
["typ"] = "cislo" },
["tex"] = "4992",
["tex_float"] = "4992",
["x"] = 4992 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 13)^2",
["typ"] = "mocnina" },
["render"] = "13 \\cdot 6 \\cdot (-5 + 13)^2",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.37, bodu=48, $$6 \cdot (7 + 4\frac{2}{8}) \cdot 2=\textcolor{white}{135}$$return {
["body"] = 48,
["id"] = "WqwWOE_0531_1516",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 1 },
["render"] = "\\frac{270}{2}",
["typ"] = "cislo" },
["tex"] = "135",
["x"] = 135 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(7 + 4\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "(7 + 4\\frac{2}{8}) \\cdot 2",
["typ"] = "krat" },
["render"] = "6 \\cdot (7 + 4\\frac{2}{8}) \\cdot 2",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.38, bodu=64, $$\frac{-5}{(\frac{-9}{12})^4 + 4\frac{4}{7}}=\textcolor{white}{-1\frac{201}{8759}}$$return {
["body"] = 64,
["id"] = "ZaPYWx_0531_1516",
["obtiznost"] = 0.7148,
["reseni"] = {
["float"] = -1.0229478250942,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8960,
["jmenovatel"] = 8759 },
["render"] = "\\frac{-8960}{8759}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{201}{8759}",
["x"] = -1,
["y"] = 201,
["z"] = 8759 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-9}{12})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{-9}{12})^4 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-5}{(\\frac{-9}{12})^4 + 4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.39, bodu=73, $$\frac{10 + 2\frac{3}{3}}{1\frac{3}{7} \cdot (13 + 3\frac{4}{7})}=\textcolor{white}{\frac{637}{1160}}$$return {
["body"] = 73,
["id"] = "yEmWOj_0531_1516",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 0.54913793103448,
["objekt"] = {
["hodnota"] = {
["citatel"] = 637,
["jmenovatel"] = 1160 },
["render"] = "\\frac{637}{1160}",
["typ"] = "cislo" },
["tex"] = "\\frac{637}{1160}",
["y"] = 637,
["z"] = 1160 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{3}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{7} \\cdot (13 + 3\\frac{4}{7})",
["typ"] = "krat" },
["render"] = "\\frac{10 + 2\\frac{3}{3}}{1\\frac{3}{7} \\cdot (13 + 3\\frac{4}{7})}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.4, bodu=32, $$\frac{\frac{16}{\frac{3}{14}}}{6 - (-6)}=\textcolor{white}{6\frac{2}{9}}$$return {
["body"] = 32,
["id"] = "jeYzPg_0531_1516",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 6.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 9 },
["render"] = "\\frac{224}{36}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{9}",
["x"] = 6,
["y"] = 2,
["z"] = 9 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{16}{\\frac{3}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "6 - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{16}{\\frac{3}{14}}}{6 - (-6)}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.41, bodu=52, $$14 \cdot 3\frac{4}{6} - (-7 + (-12 - (-11)))=\textcolor{white}{59\frac{1}{3}}$$return {
["body"] = 52,
["id"] = "tFefLs_0531_1516",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 59.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 178,
["jmenovatel"] = 3 },
["render"] = "\\frac{178}{3}",
["typ"] = "cislo" },
["tex"] = "59\\frac{1}{3}",
["x"] = 59,
["y"] = 1,
["z"] = 3 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["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"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 - (-11)",
["typ"] = "minus" },
["render"] = "-7 + (-12 - (-11))",
["typ"] = "plus" },
["render"] = "(-7 + (-12 - (-11)))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot 3\\frac{4}{6} - (-7 + (-12 - (-11)))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.42, bodu=76, $$\frac{\frac{9}{4\frac{1}{7}} \cdot 2\frac{3}{8}}{13}=\textcolor{white}{\frac{1197}{3016}}$$return {
["body"] = 76,
["id"] = "nOGXY9_0531_1516",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 0.39688328912467,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1197,
["jmenovatel"] = 3016 },
["render"] = "\\frac{1197}{3016}",
["typ"] = "cislo" },
["tex"] = "\\frac{1197}{3016}",
["y"] = 1197,
["z"] = 3016 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{1}{7}} \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{4\\frac{1}{7}} \\cdot 2\\frac{3}{8}}{13}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.43, bodu=55, $$-5 - (-12 \cdot 1\frac{5}{10} \cdot -8 + (-4))=\textcolor{white}{-145}$$return {
["body"] = 55,
["id"] = "EpVq8J_0531_1516",
["obtiznost"] = 0.63,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -145,
["jmenovatel"] = 1 },
["render"] = "\\frac{-145}{1}",
["typ"] = "cislo" },
["tex"] = "-145",
["tex_float"] = "-145",
["x"] = -145 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 1\\frac{5}{10} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 1\\frac{5}{10} \\cdot -8 + (-4)",
["typ"] = "plus" },
["render"] = "(-12 \\cdot 1\\frac{5}{10} \\cdot -8 + (-4))",
["typ"] = "zavorka" },
["render"] = "-5 - (-12 \\cdot 1\\frac{5}{10} \\cdot -8 + (-4))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.44, bodu=40, $$\frac{\frac{10}{13}}{\frac{(-13 + 8)^3}{-15}}=\textcolor{white}{\frac{6}{65}}$$return {
["body"] = 40,
["id"] = "FKsrCi_0531_1516",
["obtiznost"] = 0.4904,
["reseni"] = {
["float"] = 0.092307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 65 },
["render"] = "\\frac{30}{325}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{65}",
["y"] = 6,
["z"] = 65 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{13}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 8)^3}{-15}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{10}{13}}{\\frac{(-13 + 8)^3}{-15}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.45, bodu=113, $$4\frac{4}{9} + (-7 + 12)^4 \cdot 16 + 6 + 2\frac{4}{7}=\textcolor{white}{10013\frac{1}{63}}$$return {
["body"] = 113,
["id"] = "Va9Tqd_0531_1516",
["obtiznost"] = 1.1004,
["reseni"] = {
["float"] = 10013.015873016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 630820,
["jmenovatel"] = 63 },
["render"] = "\\frac{630820}{63}",
["typ"] = "cislo" },
["tex"] = "10013\\frac{1}{63}",
["x"] = 10013,
["y"] = 1,
["z"] = 63 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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"] = 4,
["render"] = "(-7 + 12)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(-7 + 12)^4 \\cdot 16",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} + (-7 + 12)^4 \\cdot 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "6 + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "4\\frac{4}{9} + (-7 + 12)^4 \\cdot 16 + 6 + 2\\frac{4}{7}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.46, bodu=58, $$\frac{(4 + 3\frac{5}{9}) \cdot 7}{-11 \cdot 7}=\textcolor{white}{-\frac{68}{99}}$$return {
["body"] = 58,
["id"] = "VOtVQb_0531_1516",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -0.68686868686869,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 99 },
["render"] = "\\frac{476}{-693}",
["typ"] = "cislo" },
["tex"] = "-\\frac{68}{99}",
["y"] = -68,
["z"] = 99 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4 + 3\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(4 + 3\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(4 + 3\\frac{5}{9}) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{(4 + 3\\frac{5}{9}) \\cdot 7}{-11 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.47, bodu=83, $$(11 - (15 - (-14))) \cdot (4 - (2\frac{2}{9} + 3\frac{4}{6}))=\textcolor{white}{34}$$return {
["body"] = 83,
["id"] = "lH1cxS_0531_1516",
["obtiznost"] = 0.87,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 1 },
["render"] = "\\frac{306}{9}",
["typ"] = "cislo" },
["tex"] = "34",
["x"] = 34 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "15 - (-14)",
["typ"] = "minus" },
["render"] = "(15 - (-14))",
["typ"] = "zavorka" },
["render"] = "11 - (15 - (-14))",
["typ"] = "minus" },
["render"] = "(11 - (15 - (-14)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 3\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{9} + 3\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "4 - (2\\frac{2}{9} + 3\\frac{4}{6})",
["typ"] = "minus" },
["render"] = "(4 - (2\\frac{2}{9} + 3\\frac{4}{6}))",
["typ"] = "zavorka" },
["render"] = "(11 - (15 - (-14))) \\cdot (4 - (2\\frac{2}{9} + 3\\frac{4}{6}))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.48, bodu=84, $$(1\frac{2}{6} - 3\frac{2}{6})^3 - (16 - 11 \cdot -3)=\textcolor{white}{-57}$$return {
["body"] = 84,
["id"] = "JK4y9V_0531_1516",
["obtiznost"] = 0.8836,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 1 },
["render"] = "\\frac{-57}{1}",
["typ"] = "cislo" },
["tex"] = "-57",
["tex_float"] = "-57",
["x"] = -57 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 3\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{2}{6} - 3\\frac{2}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "11 \\cdot -3",
["typ"] = "krat" },
["render"] = "16 - 11 \\cdot -3",
["typ"] = "minus" },
["render"] = "(16 - 11 \\cdot -3)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{6} - 3\\frac{2}{6})^3 - (16 - 11 \\cdot -3)",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.49, bodu=40, $$\frac{\frac{10}{\frac{-11}{7}}}{-14 - 9}=\textcolor{white}{\frac{70}{253}}$$return {
["body"] = 40,
["id"] = "YGN1PG_0531_1516",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 0.27667984189723,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 253 },
["render"] = "\\frac{-70}{-253}",
["typ"] = "cislo" },
["tex"] = "\\frac{70}{253}",
["y"] = 70,
["z"] = 253 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{-11}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-14 - 9",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{10}{\\frac{-11}{7}}}{-14 - 9}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.5, bodu=62, $$10 + 3\frac{4}{6} - 9 \cdot -9 \cdot -8=\textcolor{white}{-634\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "AByqXJ_0531_1516",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -634.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1903,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1903}{3}",
["typ"] = "cislo" },
["tex"] = "-634\\frac{1}{3}",
["x"] = -634,
["y"] = 1,
["z"] = 3 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -8",
["typ"] = "krat" },
["render"] = "9 \\cdot -9 \\cdot -8",
["typ"] = "krat" },
["render"] = "10 + 3\\frac{4}{6} - 9 \\cdot -9 \\cdot -8",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.51, bodu=51, $$(\frac{-10}{11})^2 \cdot \frac{-13}{7}=\textcolor{white}{-1\frac{453}{847}}$$return {
["body"] = 51,
["id"] = "vIPEqZ_0531_1516",
["obtiznost"] = 0.5984,
["reseni"] = {
["float"] = -1.5348288075561,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1300,
["jmenovatel"] = 847 },
["render"] = "\\frac{-1300}{847}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{453}{847}",
["x"] = -1,
["y"] = 453,
["z"] = 847 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.51",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{7}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-10}{11})^2 \\cdot \\frac{-13}{7}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.52, bodu=89, $$-9 \cdot (9 - 1\frac{4}{6}) - (-11) + 4\frac{1}{5}=\textcolor{white}{-50{,}8}$$return {
["body"] = 89,
["id"] = "DrQIN7_0531_1516",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -50.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -254,
["jmenovatel"] = 5 },
["render"] = "\\frac{-254}{5}",
["typ"] = "cislo" },
["tex"] = "-50\\frac{4}{5}",
["tex_float"] = "-50{,}8",
["x"] = -50,
["y"] = 4,
["z"] = 5 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (9 - 1\\frac{4}{6})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (9 - 1\\frac{4}{6}) - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (9 - 1\\frac{4}{6}) - (-11) + 4\\frac{1}{5}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.53, bodu=66, $$11 - (-13 \cdot 3\frac{5}{9} \cdot (10 + 15))=\textcolor{white}{1166\frac{5}{9}}$$return {
["body"] = 66,
["id"] = "haAEib_0531_1516",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 1166.5555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10499,
["jmenovatel"] = 9 },
["render"] = "\\frac{10499}{9}",
["typ"] = "cislo" },
["tex"] = "1166\\frac{5}{9}",
["x"] = 1166,
["y"] = 5,
["z"] = 9 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "10 + 15",
["typ"] = "plus" },
["render"] = "(10 + 15)",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot 3\\frac{5}{9} \\cdot (10 + 15)",
["typ"] = "krat" },
["render"] = "11 - (-13 \\cdot 3\\frac{5}{9} \\cdot (10 + 15))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.54, bodu=67, $$-10 + \frac{2\frac{1}{7}}{-14} - 10 - (-7)=\textcolor{white}{-13\frac{15}{98}}$$return {
["body"] = 67,
["id"] = "L2mbGV_0531_1516",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -13.15306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1289,
["jmenovatel"] = 98 },
["render"] = "\\frac{-1289}{98}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{15}{98}",
["x"] = -13,
["y"] = 15,
["z"] = 98 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-14} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{-14} - 10 - (-7)",
["typ"] = "minus" },
["render"] = "-10 + \\frac{2\\frac{1}{7}}{-14} - 10 - (-7)",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.55, bodu=68, $$\frac{7}{4\frac{1}{4}} - (14 - (-11)) - (-6)=\textcolor{white}{-17\frac{6}{17}}$$return {
["body"] = 68,
["id"] = "NmYcxe_0531_1516",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -17.352941176471,
["objekt"] = {
["hodnota"] = {
["citatel"] = -295,
["jmenovatel"] = 17 },
["render"] = "\\frac{-295}{17}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{6}{17}",
["x"] = -17,
["y"] = 6,
["z"] = 17 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 - (-11)",
["typ"] = "minus" },
["render"] = "(14 - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{7}{4\\frac{1}{4}} - (14 - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4\\frac{1}{4}} - (14 - (-11)) - (-6)",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.56, bodu=94, $$1\frac{2}{6} \cdot (\frac{(-13 + 13)^2}{-15} + (-6 + 1\frac{4}{7}))=\textcolor{white}{-5\frac{19}{21}}$$return {
["body"] = 94,
["id"] = "bLCOmN_0531_1516",
["obtiznost"] = 0.9604,
["reseni"] = {
["float"] = -5.9047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -124,
["jmenovatel"] = 21 },
["render"] = "\\frac{-124}{21}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{19}{21}",
["x"] = -5,
["y"] = 19,
["z"] = 21 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-13 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-13 + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 13)^2}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-6 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{(-13 + 13)^2}{-15} + (-6 + 1\\frac{4}{7})",
["typ"] = "plus" },
["render"] = "(\\frac{(-13 + 13)^2}{-15} + (-6 + 1\\frac{4}{7}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{6} \\cdot (\\frac{(-13 + 13)^2}{-15} + (-6 + 1\\frac{4}{7}))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.57, bodu=70, $$10 + 11 + 11 \cdot 3\frac{1}{6} \cdot 12=\textcolor{white}{439}$$return {
["body"] = 70,
["id"] = "SRJUQ4_0531_1516",
["obtiznost"] = 0.77,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 439,
["jmenovatel"] = 1 },
["render"] = "\\frac{439}{1}",
["typ"] = "cislo" },
["tex"] = "439",
["x"] = 439 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot 12",
["typ"] = "krat" },
["render"] = "11 \\cdot 3\\frac{1}{6} \\cdot 12",
["typ"] = "krat" },
["render"] = "10 + 11 + 11 \\cdot 3\\frac{1}{6} \\cdot 12",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.58, bodu=97, $$4\frac{3}{7} + 5 - (-11) + (-14) + 12 - (15 + 2\frac{3}{11})=\textcolor{white}{1\frac{12}{77}}$$return {
["body"] = 97,
["id"] = "61ET5n_0531_1516",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 1.1558441558442,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 77 },
["render"] = "\\frac{89}{77}",
["typ"] = "cislo" },
["tex"] = "1\\frac{12}{77}",
["x"] = 1,
["y"] = 12,
["z"] = 77 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 5 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 5 - (-11) + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 5 - (-11) + (-14) + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(15 + 2\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} + 5 - (-11) + (-14) + 12 - (15 + 2\\frac{3}{11})",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.59, bodu=73, $$-10 \cdot 17 \cdot \frac{-9 - 2\frac{5}{11}}{7}=\textcolor{white}{278\frac{2}{11}}$$return {
["body"] = 73,
["id"] = "1FjhCw_0531_1516",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 278.18181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3060,
["jmenovatel"] = 11 },
["render"] = "\\frac{3060}{11}",
["typ"] = "cislo" },
["tex"] = "278\\frac{2}{11}",
["x"] = 278,
["y"] = 2,
["z"] = 11 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-9 - 2\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 2\\frac{5}{11}}{7}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot 17 \\cdot \\frac{-9 - 2\\frac{5}{11}}{7}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.6, bodu=74, $$(\frac{-11}{-9 - 11} + (-7)) \cdot \frac{2\frac{2}{9}}{15}=\textcolor{white}{-\frac{43}{45}}$$return {
["body"] = 74,
["id"] = "CdZArt_0531_1516",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -0.95555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 45 },
["render"] = "\\frac{-516}{540}",
["typ"] = "cislo" },
["tex"] = "-\\frac{43}{45}",
["y"] = -43,
["z"] = 45 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 - 11",
["typ"] = "minus" },
["render"] = "\\frac{-11}{-9 - 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-9 - 11} + (-7)",
["typ"] = "plus" },
["render"] = "(\\frac{-11}{-9 - 11} + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{15}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-11}{-9 - 11} + (-7)) \\cdot \\frac{2\\frac{2}{9}}{15}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.61, bodu=131, $$11 - (\frac{11}{3\frac{4}{6}})^3 + 1\frac{5}{11} + 5 - 1\frac{1}{5}=\textcolor{white}{-10\frac{41}{55}}$$return {
["body"] = 131,
["id"] = "74HCKg_0531_1516",
["obtiznost"] = 1.2212,
["reseni"] = {
["float"] = -10.745454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -591,
["jmenovatel"] = 55 },
["render"] = "\\frac{-591}{55}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{41}{55}",
["x"] = -10,
["y"] = 41,
["z"] = 55 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{4}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{11}{3\\frac{4}{6}})^3",
["typ"] = "mocnina" },
["render"] = "11 - (\\frac{11}{3\\frac{4}{6}})^3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} + 5 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "11 - (\\frac{11}{3\\frac{4}{6}})^3 + 1\\frac{5}{11} + 5 - 1\\frac{1}{5}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.62, bodu=106, $$(3\frac{2}{8} \cdot ((-7 - (-7)) \cdot (\frac{-12}{4\frac{3}{6}})^2)^3)^2=\textcolor{white}{0}$$return {
["body"] = 106,
["id"] = "Fx1ZQZ_0531_1516",
["obtiznost"] = 1.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.62",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-7 - (-7)",
["typ"] = "minus" },
["render"] = "(-7 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{4\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["render"] = "(-7 - (-7)) \\cdot (\\frac{-12}{4\\frac{3}{6}})^2",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((-7 - (-7)) \\cdot (\\frac{-12}{4\\frac{3}{6}})^2)^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{8} \\cdot ((-7 - (-7)) \\cdot (\\frac{-12}{4\\frac{3}{6}})^2)^3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{8} \\cdot ((-7 - (-7)) \\cdot (\\frac{-12}{4\\frac{3}{6}})^2)^3)^2",
["typ"] = "mocnina" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.63, bodu=104, $$1\frac{1}{8} + 12 + 16 \cdot 2\frac{3}{6} - 12 + 3 + 13=\textcolor{white}{57{,}125}$$return {
["body"] = 104,
["id"] = "wnKX45_0531_1516",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 57.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 457,
["jmenovatel"] = 8 },
["render"] = "\\frac{457}{8}",
["typ"] = "cislo" },
["tex"] = "57\\frac{1}{8}",
["tex_float"] = "57{,}125",
["x"] = 57,
["y"] = 1,
["z"] = 8 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 2\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "16 \\cdot 2\\frac{3}{6} - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3 + 13",
["typ"] = "plus" },
["render"] = "16 \\cdot 2\\frac{3}{6} - 12 + 3 + 13",
["typ"] = "plus" },
["render"] = "1\\frac{1}{8} + 12 + 16 \\cdot 2\\frac{3}{6} - 12 + 3 + 13",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.64, bodu=161, $$(-10 + (-16))^2 \cdot (1\frac{1}{3} - \frac{-5}{1\frac{2}{8}})^2 \cdot 10=\textcolor{white}{192284\frac{4}{9}}$$return {
["body"] = 161,
["id"] = "FBGiyS_0531_1516",
["obtiznost"] = 1.4168,
["reseni"] = {
["float"] = 192284.44444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1730560,
["jmenovatel"] = 9 },
["render"] = "\\frac{1730560}{9}",
["typ"] = "cislo" },
["tex"] = "192284\\frac{4}{9}",
["x"] = 192284,
["y"] = 4,
["z"] = 9 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-10 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{3} - \\frac{-5}{1\\frac{2}{8}}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{3} - \\frac{-5}{1\\frac{2}{8}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{3} - \\frac{-5}{1\\frac{2}{8}})^2 \\cdot 10",
["typ"] = "krat" },
["render"] = "(-10 + (-16))^2 \\cdot (1\\frac{1}{3} - \\frac{-5}{1\\frac{2}{8}})^2 \\cdot 10",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.65, bodu=94, $$\frac{6}{\frac{7}{(\frac{1\frac{1}{8}}{6})^2 + (-10)}}=\textcolor{white}{-8\frac{485}{896}}$$return {
["body"] = 94,
["id"] = "PRnlFd_0531_1516",
["obtiznost"] = 0.956,
["reseni"] = {
["float"] = -8.5412946428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7653,
["jmenovatel"] = 896 },
["render"] = "\\frac{15306}{-1792}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{485}{896}",
["x"] = -8,
["y"] = 485,
["z"] = 896 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{8}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{1}{8}}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{1}{8}}{6})^2 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{7}{(\\frac{1\\frac{1}{8}}{6})^2 + (-10)}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{7}{(\\frac{1\\frac{1}{8}}{6})^2 + (-10)}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.66, bodu=81, $$\frac{\frac{\frac{13}{1\frac{5}{13}}}{(-14 - (-14))^2 + 12}}{6}=\textcolor{white}{\frac{169}{1296}}$$return {
["body"] = 81,
["id"] = "rbTngH_0531_1516",
["obtiznost"] = 0.8604,
["reseni"] = {
["float"] = 0.1304012345679,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 1296 },
["render"] = "\\frac{169}{1296}",
["typ"] = "cislo" },
["tex"] = "\\frac{169}{1296}",
["y"] = 169,
["z"] = 1296 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-14 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-14 - (-14))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-14 - (-14))^2 + 12",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{13}{1\\frac{5}{13}}}{(-14 - (-14))^2 + 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{13}{1\\frac{5}{13}}}{(-14 - (-14))^2 + 12}}{6}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.67, bodu=109, $$8 \cdot \frac{3\frac{5}{10} + (-14)}{\frac{16}{1\frac{4}{9}}}=\textcolor{white}{-7\frac{7}{12}}$$return {
["body"] = 109,
["id"] = "v9ZbjE_0531_1516",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -7.5833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 12 },
["render"] = "\\frac{-728}{96}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{7}{12}",
["x"] = -7,
["y"] = 7,
["z"] = 12 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{10} + (-14)}{\\frac{16}{1\\frac{4}{9}}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{3\\frac{5}{10} + (-14)}{\\frac{16}{1\\frac{4}{9}}}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.68, bodu=151, $$\frac{(-15 - 19 - (-8))^2 + 2\frac{3}{9}}{8 + 1\frac{4}{10}}=\textcolor{white}{72\frac{23}{141}}$$return {
["body"] = 151,
["id"] = "wVaIEA_0531_1516",
["obtiznost"] = 1.3508,
["reseni"] = {
["float"] = 72.163120567376,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10175,
["jmenovatel"] = 141 },
["render"] = "\\frac{10175}{141}",
["typ"] = "cislo" },
["tex"] = "72\\frac{23}{141}",
["x"] = 72,
["y"] = 23,
["z"] = 141 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-15 - 19",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-15 - 19 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - 19 - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(-15 - 19 - (-8))^2 + 2\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{(-15 - 19 - (-8))^2 + 2\\frac{3}{9}}{8 + 1\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.69, bodu=112, $$\frac{11}{\frac{1\frac{4}{9}}{-17} - \frac{2\frac{3}{7}}{7}}=\textcolor{white}{-25\frac{1517}{3238}}$$return {
["body"] = 112,
["id"] = "PitA1A_0531_1516",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -25.468499073502,
["objekt"] = {
["hodnota"] = {
["citatel"] = -82467,
["jmenovatel"] = 3238 },
["render"] = "\\frac{82467}{-3238}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{1517}{3238}",
["x"] = -25,
["y"] = 1517,
["z"] = 3238 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{9}}{-17} - \\frac{2\\frac{3}{7}}{7}",
["typ"] = "minus" },
["render"] = "\\frac{11}{\\frac{1\\frac{4}{9}}{-17} - \\frac{2\\frac{3}{7}}{7}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.7, bodu=86, $$\frac{-9}{\frac{-12 \cdot 4\frac{1}{5}}{11} \cdot -8}=\textcolor{white}{-\frac{55}{224}}$$return {
["body"] = 86,
["id"] = "jtTwgO_0531_1516",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -0.24553571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 224 },
["render"] = "\\frac{-495}{2016}",
["typ"] = "cislo" },
["tex"] = "-\\frac{55}{224}",
["y"] = -55,
["z"] = 224 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot 4\\frac{1}{5}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot 4\\frac{1}{5}}{11} \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{-9}{\\frac{-12 \\cdot 4\\frac{1}{5}}{11} \\cdot -8}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.71, bodu=100, $$(12 \cdot 1\frac{2}{8})^2 \cdot -19 \cdot -13 + 15=\textcolor{white}{55590}$$return {
["body"] = 100,
["id"] = "mJZjlr_0531_1516",
["obtiznost"] = 1.0004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55590,
["jmenovatel"] = 1 },
["render"] = "\\frac{55590}{1}",
["typ"] = "cislo" },
["tex"] = "55590",
["tex_float"] = "55590",
["x"] = 55590 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(12 \\cdot 1\\frac{2}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(12 \\cdot 1\\frac{2}{8})^2 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(12 \\cdot 1\\frac{2}{8})^2 \\cdot -19 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(12 \\cdot 1\\frac{2}{8})^2 \\cdot -19 \\cdot -13 + 15",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.72, bodu=116, $$1\frac{2}{9} \cdot 17 \cdot (11 - (7 - 2\frac{5}{6}))=\textcolor{white}{141\frac{53}{54}}$$return {
["body"] = 116,
["id"] = "IgDPZS_0531_1516",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 141.98148148148,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7667,
["jmenovatel"] = 54 },
["render"] = "\\frac{7667}{54}",
["typ"] = "cislo" },
["tex"] = "141\\frac{53}{54}",
["x"] = 141,
["y"] = 53,
["z"] = 54 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["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"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{5}{6}",
["typ"] = "minus" },
["render"] = "(7 - 2\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "11 - (7 - 2\\frac{5}{6})",
["typ"] = "minus" },
["render"] = "(11 - (7 - 2\\frac{5}{6}))",
["typ"] = "zavorka" },
["render"] = "17 \\cdot (11 - (7 - 2\\frac{5}{6}))",
["typ"] = "krat" },
["render"] = "1\\frac{2}{9} \\cdot 17 \\cdot (11 - (7 - 2\\frac{5}{6}))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.73, bodu=148, $$\frac{\frac{-13}{-13 + 1\frac{1}{4}}}{2\frac{3}{11} - (1\frac{2}{5} - 13)}=\textcolor{white}{\frac{2860}{35861}}$$return {
["body"] = 148,
["id"] = "Y0MKPK_0531_1516",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 0.079752377234321,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2860,
["jmenovatel"] = 35861 },
["render"] = "\\frac{2860}{35861}",
["typ"] = "cislo" },
["tex"] = "\\frac{2860}{35861}",
["y"] = 2860,
["z"] = 35861 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-13 + 1\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "\\frac{-13}{-13 + 1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 13",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{5} - 13)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{11} - (1\\frac{2}{5} - 13)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-13}{-13 + 1\\frac{1}{4}}}{2\\frac{3}{11} - (1\\frac{2}{5} - 13)}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.74, bodu=149, $$3\frac{5}{13} - 11 - (-9 + 4\frac{3}{7} - \frac{4\frac{5}{12}}{-13})=\textcolor{white}{-3\frac{419}{1092}}$$return {
["body"] = 149,
["id"] = "zjwvCz_0531_1516",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -3.3836996336996,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3695,
["jmenovatel"] = 1092 },
["render"] = "\\frac{-48035}{14196}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{419}{1092}",
["x"] = -3,
["y"] = 419,
["z"] = 1092 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{13} - 11",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{-13}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{7} - \\frac{4\\frac{5}{12}}{-13}",
["typ"] = "minus" },
["render"] = "-9 + 4\\frac{3}{7} - \\frac{4\\frac{5}{12}}{-13}",
["typ"] = "plus" },
["render"] = "(-9 + 4\\frac{3}{7} - \\frac{4\\frac{5}{12}}{-13})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{13} - 11 - (-9 + 4\\frac{3}{7} - \\frac{4\\frac{5}{12}}{-13})",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.75, bodu=151, $$\frac{2\frac{5}{12} - (-16)}{1\frac{3}{12} - 1\frac{5}{7} + 10 \cdot -12}=\textcolor{white}{-\frac{1547}{10119}}$$return {
["body"] = 151,
["id"] = "iomvst_0531_1516",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -0.15288071943868,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1547,
["jmenovatel"] = 10119 },
["render"] = "\\frac{6188}{-40476}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1547}{10119}",
["y"] = -1547,
["z"] = 10119 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{12} - 1\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -12",
["typ"] = "krat" },
["render"] = "1\\frac{3}{12} - 1\\frac{5}{7} + 10 \\cdot -12",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{5}{12} - (-16)}{1\\frac{3}{12} - 1\\frac{5}{7} + 10 \\cdot -12}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.76, bodu=133, $$(\frac{-15}{12})^3 - (1\frac{3}{6} - (-17)) \cdot 1\frac{4}{9}=\textcolor{white}{-28\frac{389}{576}}$$return {
["body"] = 133,
["id"] = "64pqX3_0531_1516",
["obtiznost"] = 1.2356,
["reseni"] = {
["float"] = -28.675347222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16517,
["jmenovatel"] = 576 },
["render"] = "\\frac{-33034}{1152}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{389}{576}",
["x"] = -28,
["y"] = 389,
["z"] = 576 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.76",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-15}{12})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - (-17)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{6} - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{6} - (-17)) \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "(\\frac{-15}{12})^3 - (1\\frac{3}{6} - (-17)) \\cdot 1\\frac{4}{9}",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.77, bodu=154, $$\frac{19}{4\frac{1}{5}} \cdot (2\frac{1}{7} + 4\frac{4}{10} - (10 - 16))=\textcolor{white}{56\frac{109}{147}}$$return {
["body"] = 154,
["id"] = "bRV7Jo_0531_1516",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 56.741496598639,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8341,
["jmenovatel"] = 147 },
["render"] = "\\frac{41705}{735}",
["typ"] = "cislo" },
["tex"] = "56\\frac{109}{147}",
["x"] = 56,
["y"] = 109,
["z"] = 147 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 4\\frac{4}{10}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(10 - 16)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} + 4\\frac{4}{10} - (10 - 16)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{7} + 4\\frac{4}{10} - (10 - 16))",
["typ"] = "zavorka" },
["render"] = "\\frac{19}{4\\frac{1}{5}} \\cdot (2\\frac{1}{7} + 4\\frac{4}{10} - (10 - 16))",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.78, bodu=97, $$(-14 - (1\frac{3}{8} + (-12))) \cdot -15 - (-18 - (-4))=\textcolor{white}{64{,}625}$$return {
["body"] = 97,
["id"] = "4aLALF_0531_1516",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 64.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 517,
["jmenovatel"] = 8 },
["render"] = "\\frac{517}{8}",
["typ"] = "cislo" },
["tex"] = "64\\frac{5}{8}",
["tex_float"] = "64{,}625",
["x"] = 64,
["y"] = 5,
["z"] = 8 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} + (-12)",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + (-12))",
["typ"] = "zavorka" },
["render"] = "-14 - (1\\frac{3}{8} + (-12))",
["typ"] = "minus" },
["render"] = "(-14 - (1\\frac{3}{8} + (-12)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(-14 - (1\\frac{3}{8} + (-12))) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-18 - (-4)",
["typ"] = "minus" },
["render"] = "(-18 - (-4))",
["typ"] = "zavorka" },
["render"] = "(-14 - (1\\frac{3}{8} + (-12))) \\cdot -15 - (-18 - (-4))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.79, bodu=190, $$\frac{\frac{-9}{4\frac{2}{8} + 4\frac{2}{6}}}{4\frac{4}{9}} \cdot 4\frac{1}{7}=\textcolor{white}{-\frac{7047}{7210}}$$return {
["body"] = 190,
["id"] = "7m03rb_0531_1516",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -0.97739251040222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7047,
["jmenovatel"] = 7210 },
["render"] = "\\frac{-7047}{7210}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7047}{7210}",
["y"] = -7047,
["z"] = 7210 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{4\\frac{2}{8} + 4\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{4\\frac{2}{8} + 4\\frac{2}{6}}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{4\\frac{2}{8} + 4\\frac{2}{6}}}{4\\frac{4}{9}} \\cdot 4\\frac{1}{7}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.8, bodu=74, $$\frac{17}{\frac{-18}{-11} - 6 - (13 + (-15))}=\textcolor{white}{-7\frac{5}{26}}$$return {
["body"] = 74,
["id"] = "AJ6eQl_0531_1516",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -7.1923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -187,
["jmenovatel"] = 26 },
["render"] = "\\frac{187}{-26}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{5}{26}",
["x"] = -7,
["y"] = 5,
["z"] = 26 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-11} - 6",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "13 + (-15)",
["typ"] = "plus" },
["render"] = "(13 + (-15))",
["typ"] = "zavorka" },
["render"] = "\\frac{-18}{-11} - 6 - (13 + (-15))",
["typ"] = "minus" },
["render"] = "\\frac{17}{\\frac{-18}{-11} - 6 - (13 + (-15))}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.81, bodu=78, $$21 \cdot ((\frac{-9 - (-17)}{-14})^2 \cdot 17 + 5)=\textcolor{white}{221\frac{4}{7}}$$return {
["body"] = 78,
["id"] = "ML3xC4_0531_1516",
["obtiznost"] = 0.836,
["reseni"] = {
["float"] = 221.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1551,
["jmenovatel"] = 7 },
["render"] = "\\frac{10857}{49}",
["typ"] = "cislo" },
["tex"] = "221\\frac{4}{7}",
["x"] = 221,
["y"] = 4,
["z"] = 7 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-9 - (-17)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - (-17)}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9 - (-17)}{-14})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(\\frac{-9 - (-17)}{-14})^2 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{-9 - (-17)}{-14})^2 \\cdot 17 + 5",
["typ"] = "plus" },
["render"] = "((\\frac{-9 - (-17)}{-14})^2 \\cdot 17 + 5)",
["typ"] = "zavorka" },
["render"] = "21 \\cdot ((\\frac{-9 - (-17)}{-14})^2 \\cdot 17 + 5)",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.82, bodu=162, $$\frac{\frac{-19}{-6 - 4\frac{5}{10}}}{3\frac{2}{7}} + 2\frac{5}{11} \cdot -7=\textcolor{white}{-16\frac{479}{759}}$$return {
["body"] = 162,
["id"] = "HGrPOs_0531_1516",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = -16.631093544137,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12623,
["jmenovatel"] = 759 },
["render"] = "\\frac{-12623}{759}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{479}{759}",
["x"] = -16,
["y"] = 479,
["z"] = 759 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "\\frac{-19}{-6 - 4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-19}{-6 - 4\\frac{5}{10}}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-19}{-6 - 4\\frac{5}{10}}}{3\\frac{2}{7}} + 2\\frac{5}{11} \\cdot -7",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.83, bodu=186, $$((-16 + (-11))^2 - (14 - (\frac{4\frac{5}{10}}{-15})^2)) \cdot 4\frac{1}{6}=\textcolor{white}{2979\frac{13}{24}}$$return {
["body"] = 186,
["id"] = "Ks0RLa_0531_1516",
["obtiznost"] = 1.5656,
["reseni"] = {
["float"] = 2979.5416666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 71509,
["jmenovatel"] = 24 },
["render"] = "\\frac{1787725}{600}",
["typ"] = "cislo" },
["tex"] = "2979\\frac{13}{24}",
["x"] = 2979,
["y"] = 13,
["z"] = 24 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{5}{10}}{-15})^2",
["typ"] = "mocnina" },
["render"] = "14 - (\\frac{4\\frac{5}{10}}{-15})^2",
["typ"] = "minus" },
["render"] = "(14 - (\\frac{4\\frac{5}{10}}{-15})^2)",
["typ"] = "zavorka" },
["render"] = "(-16 + (-11))^2 - (14 - (\\frac{4\\frac{5}{10}}{-15})^2)",
["typ"] = "minus" },
["render"] = "((-16 + (-11))^2 - (14 - (\\frac{4\\frac{5}{10}}{-15})^2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "((-16 + (-11))^2 - (14 - (\\frac{4\\frac{5}{10}}{-15})^2)) \\cdot 4\\frac{1}{6}",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.84, bodu=134, $$\frac{15}{15} - 11 - \frac{3\frac{3}{9}}{3\frac{1}{7} + (-12)}=\textcolor{white}{-9\frac{58}{93}}$$return {
["body"] = 134,
["id"] = "GTkOpp_0531_1516",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -9.6236559139785,
["objekt"] = {
["hodnota"] = {
["citatel"] = -895,
["jmenovatel"] = 93 },
["render"] = "\\frac{-895}{93}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{58}{93}",
["x"] = -9,
["y"] = 58,
["z"] = 93 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{15}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{15} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{9}}{3\\frac{1}{7} + (-12)}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{15} - 11 - \\frac{3\\frac{3}{9}}{3\\frac{1}{7} + (-12)}",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.85, bodu=135, $$\frac{14}{2\frac{4}{9}} + \frac{\frac{-14}{-17}}{1\frac{3}{9} + (-19)}=\textcolor{white}{5\frac{6746}{9911}}$$return {
["body"] = 135,
["id"] = "8Z6rCQ_0531_1516",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 5.6806578549087,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56301,
["jmenovatel"] = 9911 },
["render"] = "\\frac{56301}{9911}",
["typ"] = "cislo" },
["tex"] = "5\\frac{6746}{9911}",
["x"] = 5,
["y"] = 6746,
["z"] = 9911 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-14}{-17}}{1\\frac{3}{9} + (-19)}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{2\\frac{4}{9}} + \\frac{\\frac{-14}{-17}}{1\\frac{3}{9} + (-19)}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.86, bodu=202, $$\frac{3\frac{4}{11}}{-14} \cdot 15 - (3\frac{3}{8} + 4\frac{2}{10} - 1\frac{1}{2})=\textcolor{white}{-9\frac{2091}{3080}}$$return {
["body"] = 202,
["id"] = "jq1ROY_0531_1516",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -9.6788961038961,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29811,
["jmenovatel"] = 3080 },
["render"] = "\\frac{-59622}{6160}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{2091}{3080}",
["x"] = -9,
["y"] = 2091,
["z"] = 3080 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{-14} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} - 1\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "3\\frac{3}{8} + 4\\frac{2}{10} - 1\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + 4\\frac{2}{10} - 1\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{4}{11}}{-14} \\cdot 15 - (3\\frac{3}{8} + 4\\frac{2}{10} - 1\\frac{1}{2})",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.87, bodu=138, $$\frac{3\frac{2}{8}}{8} \cdot 2 \cdot (7 + 1\frac{4}{7}) \cdot 14=\textcolor{white}{97{,}5}$$return {
["body"] = 138,
["id"] = "A82yaB_0531_1516",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 97.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 195,
["jmenovatel"] = 2 },
["render"] = "\\frac{1560}{16}",
["typ"] = "cislo" },
["tex"] = "97\\frac{1}{2}",
["tex_float"] = "97{,}5",
["x"] = 97,
["y"] = 1,
["z"] = 2 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{8} \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(7 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(7 + 1\\frac{4}{7}) \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{8}}{8} \\cdot 2 \\cdot (7 + 1\\frac{4}{7}) \\cdot 14",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.88, bodu=174, $$\frac{(4\frac{4}{6} + 2\frac{1}{6}) \cdot -12}{(\frac{-11}{-15} - 1\frac{4}{10})^3}=\textcolor{white}{276{,}75}$$return {
["body"] = 174,
["id"] = "FMc0vN_0531_1516",
["obtiznost"] = 1.494,
["reseni"] = {
["float"] = 276.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1107,
["jmenovatel"] = 4 },
["render"] = "\\frac{-2214}{-8}",
["typ"] = "cislo" },
["tex"] = "276\\frac{3}{4}",
["tex_float"] = "276{,}75",
["x"] = 276,
["y"] = 3,
["z"] = 4 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{6} + 2\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{6} + 2\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{6} + 2\\frac{1}{6}) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-15} - 1\\frac{4}{10}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(\\frac{-11}{-15} - 1\\frac{4}{10})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(4\\frac{4}{6} + 2\\frac{1}{6}) \\cdot -12}{(\\frac{-11}{-15} - 1\\frac{4}{10})^3}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.89, bodu=207, $$1\frac{4}{12} + \frac{-17 + 7}{17} \cdot 3\frac{1}{5} + 2\frac{2}{10} - 3\frac{5}{10}=\textcolor{white}{-1\frac{433}{510}}$$return {
["body"] = 207,
["id"] = "qGm3kb_0531_1516",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -1.8490196078431,
["objekt"] = {
["hodnota"] = {
["citatel"] = -943,
["jmenovatel"] = 510 },
["render"] = "\\frac{-943}{510}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{433}{510}",
["x"] = -1,
["y"] = 433,
["z"] = 510 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-17 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 7}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 7}{17} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 7}{17} \\cdot 3\\frac{1}{5} + 2\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-17 + 7}{17} \\cdot 3\\frac{1}{5} + 2\\frac{2}{10} - 3\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "1\\frac{4}{12} + \\frac{-17 + 7}{17} \\cdot 3\\frac{1}{5} + 2\\frac{2}{10} - 3\\frac{5}{10}",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.9, bodu=143, $$4\frac{2}{9} + 12 - (8 + 13 - (2\frac{4}{9} - (-21))) - (-22)=\textcolor{white}{40\frac{2}{3}}$$return {
["body"] = 143,
["id"] = "PiWvnf_0531_1516",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 40.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 122,
["jmenovatel"] = 3 },
["render"] = "\\frac{122}{3}",
["typ"] = "cislo" },
["tex"] = "40\\frac{2}{3}",
["x"] = 40,
["y"] = 2,
["z"] = 3 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-21)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - (-21))",
["typ"] = "zavorka" },
["render"] = "8 + 13 - (2\\frac{4}{9} - (-21))",
["typ"] = "minus" },
["render"] = "(8 + 13 - (2\\frac{4}{9} - (-21)))",
["typ"] = "zavorka" },
["render"] = "12 - (8 + 13 - (2\\frac{4}{9} - (-21)))",
["typ"] = "minus" },
["render"] = "4\\frac{2}{9} + 12 - (8 + 13 - (2\\frac{4}{9} - (-21)))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + 12 - (8 + 13 - (2\\frac{4}{9} - (-21))) - (-22)",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.91, bodu=144, $$8 - (-6 \cdot (\frac{13 - 4\frac{1}{7}}{10} - 2\frac{2}{5}))=\textcolor{white}{-1\frac{3}{35}}$$return {
["body"] = 144,
["id"] = "1MZmHy_0531_1516",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -1.0857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 35 },
["render"] = "\\frac{-38}{35}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{35}",
["x"] = -1,
["y"] = 3,
["z"] = 35 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "13 - 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 4\\frac{1}{7}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 4\\frac{1}{7}}{10} - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(\\frac{13 - 4\\frac{1}{7}}{10} - 2\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (\\frac{13 - 4\\frac{1}{7}}{10} - 2\\frac{2}{5})",
["typ"] = "krat" },
["render"] = "8 - (-6 \\cdot (\\frac{13 - 4\\frac{1}{7}}{10} - 2\\frac{2}{5}))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.92, bodu=178, $$\frac{\frac{-18}{1\frac{4}{11}} - 7}{2\frac{5}{12} \cdot (-20 - 1\frac{1}{7})}=\textcolor{white}{\frac{2121}{5365}}$$return {
["body"] = 178,
["id"] = "eth3uq_0531_1516",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 0.39534016775396,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2121,
["jmenovatel"] = 5365 },
["render"] = "\\frac{-2121}{-5365}",
["typ"] = "cislo" },
["tex"] = "\\frac{2121}{5365}",
["y"] = 2121,
["z"] = 5365 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{1\\frac{4}{11}} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-20 - 1\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(-20 - 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{12} \\cdot (-20 - 1\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-18}{1\\frac{4}{11}} - 7}{2\\frac{5}{12} \\cdot (-20 - 1\\frac{1}{7})}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.93, bodu=148, $$\frac{5 + \frac{2\frac{1}{8}}{10}}{5 \cdot 1\frac{2}{6} + (-9)}=\textcolor{white}{-2\frac{131}{560}}$$return {
["body"] = 148,
["id"] = "8rBYyo_0531_1516",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -2.2339285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1251,
["jmenovatel"] = 560 },
["render"] = "\\frac{1251}{-560}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{131}{560}",
["x"] = -2,
["y"] = 131,
["z"] = 560 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{10}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{2\\frac{1}{8}}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{2}{6} + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{5 + \\frac{2\\frac{1}{8}}{10}}{5 \\cdot 1\\frac{2}{6} + (-9)}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.94, bodu=181, $$(-20 + 2\frac{1}{6} - (7 - 1\frac{5}{13})) \cdot 3\frac{5}{9} \cdot (-10 - 13)=\textcolor{white}{1917\frac{205}{351}}$$return {
["body"] = 181,
["id"] = "7GNwqD_0531_1516",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 1917.584045584,
["objekt"] = {
["hodnota"] = {
["citatel"] = 673072,
["jmenovatel"] = 351 },
["render"] = "\\frac{1346144}{702}",
["typ"] = "cislo" },
["tex"] = "1917\\frac{205}{351}",
["x"] = 1917,
["y"] = 205,
["z"] = 351 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-20 + 2\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(7 - 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "-20 + 2\\frac{1}{6} - (7 - 1\\frac{5}{13})",
["typ"] = "minus" },
["render"] = "(-20 + 2\\frac{1}{6} - (7 - 1\\frac{5}{13}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 - 13",
["typ"] = "minus" },
["render"] = "(-10 - 13)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{9} \\cdot (-10 - 13)",
["typ"] = "krat" },
["render"] = "(-20 + 2\\frac{1}{6} - (7 - 1\\frac{5}{13})) \\cdot 3\\frac{5}{9} \\cdot (-10 - 13)",
["typ"] = "krat" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.95, bodu=185, $$\frac{(-13 + 16)^3 + \frac{(-17 - 11) \cdot 1\frac{4}{6}}{1\frac{5}{14}}}{3\frac{2}{8}}=\textcolor{white}{-2\frac{202}{741}}$$return {
["body"] = 185,
["id"] = "oKTwYm_0531_1516",
["obtiznost"] = 1.5612,
["reseni"] = {
["float"] = -2.2726045883941,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1684,
["jmenovatel"] = 741 },
["render"] = "\\frac{-1684}{741}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{202}{741}",
["x"] = -2,
["y"] = 202,
["z"] = 741 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 + 16",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 16)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-17 - 11",
["typ"] = "minus" },
["render"] = "(-17 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(-17 - 11) \\cdot 1\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{(-17 - 11) \\cdot 1\\frac{4}{6}}{1\\frac{5}{14}}",
["typ"] = "lomeno" },
["render"] = "(-13 + 16)^3 + \\frac{(-17 - 11) \\cdot 1\\frac{4}{6}}{1\\frac{5}{14}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 16)^3 + \\frac{(-17 - 11) \\cdot 1\\frac{4}{6}}{1\\frac{5}{14}}}{3\\frac{2}{8}}",
["typ"] = "lomeno" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.96, bodu=256, $$\frac{3\frac{5}{10}}{4\frac{1}{5}} - (1\frac{5}{14} + 3\frac{2}{10} - 3\frac{1}{6} + (-13 + (-7)))=\textcolor{white}{19\frac{31}{70}}$$return {
["body"] = 256,
["id"] = "MYC07F_0531_1516",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = 19.442857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1361,
["jmenovatel"] = 70 },
["render"] = "\\frac{12249}{630}",
["typ"] = "cislo" },
["tex"] = "19\\frac{31}{70}",
["x"] = 19,
["y"] = 31,
["z"] = 70 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 3\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-13 + (-7)",
["typ"] = "plus" },
["render"] = "3\\frac{2}{10} - 3\\frac{1}{6} + (-13 + (-7))",
["typ"] = "plus" },
["render"] = "1\\frac{5}{14} + 3\\frac{2}{10} - 3\\frac{1}{6} + (-13 + (-7))",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{14} + 3\\frac{2}{10} - 3\\frac{1}{6} + (-13 + (-7)))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{1}{5}} - (1\\frac{5}{14} + 3\\frac{2}{10} - 3\\frac{1}{6} + (-13 + (-7)))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.97, bodu=221, $$9 + 3\frac{1}{8} + 1\frac{1}{7} + (-21 + 7 + \frac{-10}{1\frac{4}{7} + 3\frac{4}{10}})=\textcolor{white}{-2\frac{3623}{4872}}$$return {
["body"] = 221,
["id"] = "p2fecT_0531_1516",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -2.7436371100164,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13367,
["jmenovatel"] = 4872 },
["render"] = "\\frac{-13367}{4872}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3623}{4872}",
["x"] = -2,
["y"] = 3623,
["z"] = 4872 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "9 + 3\\frac{1}{8} + 1\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-21 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} + 3\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-10}{1\\frac{4}{7} + 3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "-21 + 7 + \\frac{-10}{1\\frac{4}{7} + 3\\frac{4}{10}}",
["typ"] = "plus" },
["render"] = "9 + 3\\frac{1}{8} + 1\\frac{1}{7} + (-21 + 7 + \\frac{-10}{1\\frac{4}{7} + 3\\frac{4}{10}})",
["typ"] = "plus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.98, bodu=185, $$(-11 \cdot 1\frac{4}{7} - (-13))^2 - (19 \cdot -13 + (-12))=\textcolor{white}{277\frac{18}{49}}$$return {
["body"] = 185,
["id"] = "aXBVRw_0531_1516",
["obtiznost"] = 1.5596,
["reseni"] = {
["float"] = 277.36734693878,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13591,
["jmenovatel"] = 49 },
["render"] = "\\frac{13591}{49}",
["typ"] = "cislo" },
["tex"] = "277\\frac{18}{49}",
["x"] = 277,
["y"] = 18,
["z"] = 49 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.98",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 1\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 1\\frac{4}{7} - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 \\cdot 1\\frac{4}{7} - (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "19 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "19 \\cdot -13 + (-12)",
["typ"] = "plus" },
["render"] = "(19 \\cdot -13 + (-12))",
["typ"] = "zavorka" },
["render"] = "(-11 \\cdot 1\\frac{4}{7} - (-13))^2 - (19 \\cdot -13 + (-12))",
["typ"] = "minus" } }
seed: 4ncQu7Vu9Kc7vqytRVK5_0.99, bodu=272, $$((2\frac{4}{8} - 2\frac{5}{10})^4 \cdot \frac{\frac{4\frac{3}{10}}{1\frac{5}{12}}}{(14 - 9)^4})^2=\textcolor{white}{0}$$return {
["body"] = 272,
["id"] = "8qw0Pg_0531_1516",
["obtiznost"] = 2.0412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "4ncQu7Vu9Kc7vqytRVK5_0.99",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 2\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(2\\frac{4}{8} - 2\\frac{5}{10})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(14 - 9)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{4\\frac{3}{10}}{1\\frac{5}{12}}}{(14 - 9)^4}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{4}{8} - 2\\frac{5}{10})^4 \\cdot \\frac{\\frac{4\\frac{3}{10}}{1\\frac{5}{12}}}{(14 - 9)^4}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((2\\frac{4}{8} - 2\\frac{5}{10})^4 \\cdot \\frac{\\frac{4\\frac{3}{10}}{1\\frac{5}{12}}}{(14 - 9)^4})^2",
["typ"] = "mocnina" } }
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