- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: M4fM5urazJIPEvCq6Uxa_0, bodu=5, $$(5 + 4) \cdot 9 + 8=\textcolor{white}{89}$$return {
["body"] = 5,
["id"] = "gA6eax_1115_2126",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 1 },
["render"] = "\\frac{89}{1}",
["typ"] = "cislo" },
["tex"] = "89",
["x"] = 89 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["render"] = "(5 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(5 + 4) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(5 + 4) \\cdot 9 + 8",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.01, bodu=10, $$5 + 6 + (\frac{-6}{7})^2=\textcolor{white}{11\frac{36}{49}}$$return {
["body"] = 10,
["id"] = "pHw2SU_1115_2126",
["obtiznost"] = 0.044,
["reseni"] = {
["float"] = 11.734693877551,
["objekt"] = {
["hodnota"] = {
["citatel"] = 575,
["jmenovatel"] = 49 },
["render"] = "\\frac{575}{49}",
["typ"] = "cislo" },
["tex"] = "11\\frac{36}{49}",
["x"] = 11,
["y"] = 36,
["z"] = 49 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{7})^2",
["typ"] = "mocnina" },
["render"] = "5 + 6 + (\\frac{-6}{7})^2",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.02, bodu=6, $$(8 + 7)^2 \cdot (7 - 5)=\textcolor{white}{450}$$return {
["body"] = 6,
["id"] = "lCXsKI_1115_2126",
["obtiznost"] = 0.1104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 450,
["jmenovatel"] = 1 },
["render"] = "\\frac{450}{1}",
["typ"] = "cislo" },
["tex"] = "450",
["tex_float"] = "450",
["x"] = 450 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.02",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "(7 - 5)",
["typ"] = "zavorka" },
["render"] = "(8 + 7)^2 \\cdot (7 - 5)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.03, bodu=5, $$9 + (-10 \cdot (5 - (-5)))=\textcolor{white}{-91}$$return {
["body"] = 5,
["id"] = "ujMNHR_1115_2126",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 1 },
["render"] = "\\frac{-91}{1}",
["typ"] = "cislo" },
["tex"] = "-91",
["x"] = -91 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "5 - (-5)",
["typ"] = "minus" },
["render"] = "(5 - (-5))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (5 - (-5))",
["typ"] = "krat" },
["render"] = "9 + (-10 \\cdot (5 - (-5)))",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.04, bodu=5, $$(8 - 9)^2 \cdot (-2 - (-8))=\textcolor{white}{6}$$return {
["body"] = 5,
["id"] = "Myi0Pp_1115_2126",
["obtiznost"] = 0.0408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{1}",
["typ"] = "cislo" },
["tex"] = "6",
["tex_float"] = "6",
["x"] = 6 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-2 - (-8)",
["typ"] = "minus" },
["render"] = "(-2 - (-8))",
["typ"] = "zavorka" },
["render"] = "(8 - 9)^2 \\cdot (-2 - (-8))",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.05, bodu=11, $$\frac{5 + (\frac{5}{5})^3}{2}=\textcolor{white}{3}$$return {
["body"] = 11,
["id"] = "5y9sUr_1115_2126",
["obtiznost"] = 0.0508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{2}",
["typ"] = "cislo" },
["tex"] = "3",
["tex_float"] = "3",
["x"] = 3 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{5}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{5})^3",
["typ"] = "mocnina" },
["render"] = "5 + (\\frac{5}{5})^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{5 + (\\frac{5}{5})^3}{2}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.06, bodu=11, $$\frac{5}{2 \cdot 8}=\textcolor{white}{\frac{5}{16}}$$return {
["body"] = 11,
["id"] = "t9vVCs_1115_2126",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 0.3125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 16 },
["render"] = "\\frac{5}{16}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{16}",
["y"] = 5,
["z"] = 16 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{5}{2 \\cdot 8}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.07, bodu=11, $$(5 - 7) \cdot \frac{-10}{-7}=\textcolor{white}{-2\frac{6}{7}}$$return {
["body"] = 11,
["id"] = "BfmfyT_1115_2126",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -2.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 7 },
["render"] = "\\frac{-20}{7}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{6}{7}",
["x"] = -2,
["y"] = 6,
["z"] = 7 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 7",
["typ"] = "minus" },
["render"] = "(5 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-7}",
["typ"] = "lomeno" },
["render"] = "(5 - 7) \\cdot \\frac{-10}{-7}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.08, bodu=18, $$\frac{(10 + 7)^2}{8 + (-6 - (-4))^4}=\textcolor{white}{12\frac{1}{24}}$$return {
["body"] = 18,
["id"] = "6pEQ7S_1115_2126",
["obtiznost"] = 0.2028,
["reseni"] = {
["float"] = 12.041666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 24 },
["render"] = "\\frac{289}{24}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{24}",
["x"] = 12,
["y"] = 1,
["z"] = 24 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-6 - (-4)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-6 - (-4))^4",
["typ"] = "mocnina" },
["render"] = "8 + (-6 - (-4))^4",
["typ"] = "plus" },
["render"] = "\\frac{(10 + 7)^2}{8 + (-6 - (-4))^4}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.09, bodu=7, $$7 + (9 - 7 - (-10))^2=\textcolor{white}{151}$$return {
["body"] = 7,
["id"] = "fGCgAe_1115_2126",
["obtiznost"] = 0.148,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 151,
["jmenovatel"] = 1 },
["render"] = "\\frac{151}{1}",
["typ"] = "cislo" },
["tex"] = "151",
["x"] = 151 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 - 7 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - 7 - (-10))^2",
["typ"] = "mocnina" },
["render"] = "7 + (9 - 7 - (-10))^2",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.1, bodu=6, $$9 \cdot 7 \cdot 11=\textcolor{white}{693}$$return {
["body"] = 6,
["id"] = "xHFTKI_1115_2126",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 693,
["jmenovatel"] = 1 },
["render"] = "\\frac{693}{1}",
["typ"] = "cislo" },
["tex"] = "693",
["tex_float"] = "693",
["x"] = 693 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 \\cdot 11",
["typ"] = "krat" },
["render"] = "9 \\cdot 7 \\cdot 11",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.11, bodu=15, $$(\frac{7 - (8 + 8)}{6})^4=\textcolor{white}{5\frac{1}{16}}$$return {
["body"] = 15,
["id"] = "DX4YD4_1115_2126",
["obtiznost"] = 0.1488,
["reseni"] = {
["float"] = 5.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 16 },
["render"] = "\\frac{81}{16}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{16}",
["x"] = 5,
["y"] = 1,
["z"] = 16 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["render"] = "7 - (8 + 8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7 - (8 + 8)}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{7 - (8 + 8)}{6})^4",
["typ"] = "mocnina" } }
seed: M4fM5urazJIPEvCq6Uxa_0.12, bodu=15, $$(\frac{4}{8} - (-7 - (-6)))^4=\textcolor{white}{5\frac{1}{16}}$$return {
["body"] = 15,
["id"] = "x20oxe_1115_2126",
["obtiznost"] = 0.1588,
["reseni"] = {
["float"] = 5.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 16 },
["render"] = "\\frac{81}{16}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{16}",
["x"] = 5,
["y"] = 1,
["z"] = 16 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-7 - (-6))",
["typ"] = "zavorka" },
["render"] = "\\frac{4}{8} - (-7 - (-6))",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(\\frac{4}{8} - (-7 - (-6)))^4",
["typ"] = "mocnina" } }
seed: M4fM5urazJIPEvCq6Uxa_0.13, bodu=44, $$11 \cdot \frac{3\frac{2}{6} + 9}{2\frac{2}{5}}=\textcolor{white}{56\frac{19}{36}}$$return {
["body"] = 44,
["id"] = "NzRNNm_1115_2126",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 56.527777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2035,
["jmenovatel"] = 36 },
["render"] = "\\frac{2035}{36}",
["typ"] = "cislo" },
["tex"] = "56\\frac{19}{36}",
["x"] = 56,
["y"] = 19,
["z"] = 36 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6} + 9}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{3\\frac{2}{6} + 9}{2\\frac{2}{5}}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.14, bodu=8, $$10 \cdot ((5 + 7)^2 + (-6 - 3))=\textcolor{white}{1350}$$return {
["body"] = 8,
["id"] = "yk7mGI_1115_2126",
["obtiznost"] = 0.198,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1350,
["jmenovatel"] = 1 },
["render"] = "\\frac{1350}{1}",
["typ"] = "cislo" },
["tex"] = "1350",
["x"] = 1350 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-6 - 3",
["typ"] = "minus" },
["render"] = "(5 + 7)^2 + (-6 - 3)",
["typ"] = "plus" },
["render"] = "((5 + 7)^2 + (-6 - 3))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot ((5 + 7)^2 + (-6 - 3))",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.15, bodu=15, $$7 - 9 - \frac{7}{6}=\textcolor{white}{-3\frac{1}{6}}$$return {
["body"] = 15,
["id"] = "U8yFfM_1115_2126",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -3.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 6 },
["render"] = "\\frac{-19}{6}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{6}",
["x"] = -3,
["y"] = 1,
["z"] = 6 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["render"] = "7 - 9 - \\frac{7}{6}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.16, bodu=7, $$7 + 9 + 9 \cdot 5=\textcolor{white}{61}$$return {
["body"] = 7,
["id"] = "vX4sL5_1115_2126",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 1 },
["render"] = "\\frac{61}{1}",
["typ"] = "cislo" },
["tex"] = "61",
["tex_float"] = "61",
["x"] = 61 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["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"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["render"] = "9 + 9 \\cdot 5",
["typ"] = "plus" },
["render"] = "7 + 9 + 9 \\cdot 5",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.17, bodu=16, $$\frac{-8 \cdot -5}{-7}=\textcolor{white}{-5\frac{5}{7}}$$return {
["body"] = 16,
["id"] = "FLLhOD_1115_2126",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -5.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 7 },
["render"] = "\\frac{40}{-7}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{5}{7}",
["x"] = -5,
["y"] = 5,
["z"] = 7 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot -5}{-7}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.18, bodu=8, $$8 + 6 + (-12) + 7 + 9=\textcolor{white}{18}$$return {
["body"] = 8,
["id"] = "WveGwy_1115_2126",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["x"] = 18 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + (-12) + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + (-12) + 7 + 9",
["typ"] = "plus" },
["render"] = "8 + 6 + (-12) + 7 + 9",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.19, bodu=50, $$1\frac{4}{8} \cdot 11 \cdot (3\frac{3}{6} - 7)=\textcolor{white}{-57{,}75}$$return {
["body"] = 50,
["id"] = "4zwzxv_1115_2126",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -57.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -231,
["jmenovatel"] = 4 },
["render"] = "\\frac{-231}{4}",
["typ"] = "cislo" },
["tex"] = "-57\\frac{3}{4}",
["tex_float"] = "-57{,}75",
["x"] = -57,
["y"] = 3,
["z"] = 4 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 7",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{6} - 7)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{8} \\cdot 11 \\cdot (3\\frac{3}{6} - 7)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.2, bodu=18, $$\frac{5}{12} - \frac{-8}{7}=\textcolor{white}{1\frac{47}{84}}$$return {
["body"] = 18,
["id"] = "nFIvBJ_1115_2126",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 1.5595238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 131,
["jmenovatel"] = 84 },
["render"] = "\\frac{131}{84}",
["typ"] = "cislo" },
["tex"] = "1\\frac{47}{84}",
["x"] = 1,
["y"] = 47,
["z"] = 84 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{5}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{12} - \\frac{-8}{7}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.21, bodu=18, $$8 \cdot \frac{-7 - 8}{7}=\textcolor{white}{-17\frac{1}{7}}$$return {
["body"] = 18,
["id"] = "AGR3gA_1115_2126",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -17.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -120,
["jmenovatel"] = 7 },
["render"] = "\\frac{-120}{7}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{1}{7}",
["x"] = -17,
["y"] = 1,
["z"] = 7 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - 8}{7}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-7 - 8}{7}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.22, bodu=34, $$10 - (8 + 8 - 4) - 1\frac{1}{4}=\textcolor{white}{-3{,}25}$$return {
["body"] = 34,
["id"] = "Z5Oak1_1115_2126",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -3.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 4 },
["render"] = "\\frac{-13}{4}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{4}",
["tex_float"] = "-3{,}25",
["x"] = -3,
["y"] = 1,
["z"] = 4 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 + 8 - 4",
["typ"] = "minus" },
["render"] = "(8 + 8 - 4)",
["typ"] = "zavorka" },
["render"] = "10 - (8 + 8 - 4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "10 - (8 + 8 - 4) - 1\\frac{1}{4}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.23, bodu=19, $$\frac{9 - (-11)}{\frac{9}{11}}=\textcolor{white}{24\frac{4}{9}}$$return {
["body"] = 19,
["id"] = "FxSdFr_1115_2126",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = 24.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 220,
["jmenovatel"] = 9 },
["render"] = "\\frac{220}{9}",
["typ"] = "cislo" },
["tex"] = "24\\frac{4}{9}",
["x"] = 24,
["y"] = 4,
["z"] = 9 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{9}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{9 - (-11)}{\\frac{9}{11}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.24, bodu=20, $$\frac{12}{-8 - \frac{10}{9}}=\textcolor{white}{-1\frac{13}{41}}$$return {
["body"] = 20,
["id"] = "Ft2jf8_1115_2126",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -1.3170731707317,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 41 },
["render"] = "\\frac{108}{-82}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{41}",
["x"] = -1,
["y"] = 13,
["z"] = 41 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{10}{9}",
["typ"] = "minus" },
["render"] = "\\frac{12}{-8 - \\frac{10}{9}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.25, bodu=37, $$(-6 \cdot 5 + (-12)) \cdot 3\frac{2}{5}=\textcolor{white}{-142{,}8}$$return {
["body"] = 37,
["id"] = "2wdFFQ_1115_2126",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -142.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -714,
["jmenovatel"] = 5 },
["render"] = "\\frac{-714}{5}",
["typ"] = "cislo" },
["tex"] = "-142\\frac{4}{5}",
["tex_float"] = "-142{,}8",
["x"] = -142,
["y"] = 4,
["z"] = 5 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5 + (-12)",
["typ"] = "plus" },
["render"] = "(-6 \\cdot 5 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(-6 \\cdot 5 + (-12)) \\cdot 3\\frac{2}{5}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.26, bodu=10, $$-11 \cdot ((6 - 5)^4 - 8)=\textcolor{white}{77}$$return {
["body"] = 10,
["id"] = "DkEntZ_1115_2126",
["obtiznost"] = 0.2608,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 1 },
["render"] = "\\frac{77}{1}",
["typ"] = "cislo" },
["tex"] = "77",
["x"] = 77 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 5)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 - 5)^4 - 8",
["typ"] = "minus" },
["render"] = "((6 - 5)^4 - 8)",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot ((6 - 5)^4 - 8)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.27, bodu=59, $$\frac{-12 \cdot (5 - 2\frac{5}{9})}{2\frac{2}{7} + (-7)}=\textcolor{white}{6\frac{2}{9}}$$return {
["body"] = 59,
["id"] = "QXCQgP_1115_2126",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 6.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 9 },
["render"] = "\\frac{-616}{-99}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{9}",
["x"] = 6,
["y"] = 2,
["z"] = 9 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "5 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(5 - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (5 - 2\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{-12 \\cdot (5 - 2\\frac{5}{9})}{2\\frac{2}{7} + (-7)}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.28, bodu=23, $$\frac{14 \cdot -10 \cdot 4}{-8}=\textcolor{white}{70}$$return {
["body"] = 23,
["id"] = "sLKHg5_1115_2126",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{-560}{-8}",
["typ"] = "cislo" },
["tex"] = "70",
["tex_float"] = "70",
["x"] = 70 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "14 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "14 \\cdot -10 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot -10 \\cdot 4}{-8}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.29, bodu=24, $$\frac{4}{\frac{9}{6}} + 3=\textcolor{white}{5\frac{2}{3}}$$return {
["body"] = 24,
["id"] = "dLIGVM_1115_2126",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 5.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 3 },
["render"] = "\\frac{17}{3}",
["typ"] = "cislo" },
["tex"] = "5\\frac{2}{3}",
["x"] = 5,
["y"] = 2,
["z"] = 3 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.29",
["zadani"] = {
["c1"] = {
["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"] = "\\frac{4}{\\frac{9}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{4}{\\frac{9}{6}} + 3",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.3, bodu=41, $$\frac{-7 - (10 + 5) + (-6)}{1\frac{4}{7} + 11}=\textcolor{white}{-2\frac{5}{22}}$$return {
["body"] = 41,
["id"] = "0Q55Ee_1115_2126",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -2.2272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 22 },
["render"] = "\\frac{-196}{88}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{5}{22}",
["x"] = -2,
["y"] = 5,
["z"] = 22 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + 5",
["typ"] = "plus" },
["render"] = "(10 + 5)",
["typ"] = "zavorka" },
["render"] = "-7 - (10 + 5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-7 - (10 + 5) + (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} + 11",
["typ"] = "plus" },
["render"] = "\\frac{-7 - (10 + 5) + (-6)}{1\\frac{4}{7} + 11}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.31, bodu=25, $$10 - (\frac{5}{12} - (-10))=\textcolor{white}{-\frac{5}{12}}$$return {
["body"] = 25,
["id"] = "XpENli_1115_2126",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -0.41666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 12 },
["render"] = "\\frac{-5}{12}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{12}",
["y"] = -5,
["z"] = 12 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{5}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{12} - (-10)",
["typ"] = "minus" },
["render"] = "(\\frac{5}{12} - (-10))",
["typ"] = "zavorka" },
["render"] = "10 - (\\frac{5}{12} - (-10))",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.32, bodu=26, $$-10 - \frac{9 \cdot -13}{14}=\textcolor{white}{-1\frac{9}{14}}$$return {
["body"] = 26,
["id"] = "DpoXxP_1115_2126",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -1.6428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 14 },
["render"] = "\\frac{-23}{14}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{9}{14}",
["x"] = -1,
["y"] = 9,
["z"] = 14 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["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"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -13}{14}",
["typ"] = "lomeno" },
["render"] = "-10 - \\frac{9 \\cdot -13}{14}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.33, bodu=13, $$(-7 - (4 - 12)) \cdot -13=\textcolor{white}{-13}$$return {
["body"] = 13,
["id"] = "IYOhvJ_1115_2126",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["tex_float"] = "-13",
["x"] = -13 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4 - 12",
["typ"] = "minus" },
["render"] = "(4 - 12)",
["typ"] = "zavorka" },
["render"] = "-7 - (4 - 12)",
["typ"] = "minus" },
["render"] = "(-7 - (4 - 12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-7 - (4 - 12)) \\cdot -13",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.34, bodu=48, $$-5 \cdot 2\frac{4}{7} \cdot (\frac{3}{-8})^2=\textcolor{white}{-1\frac{181}{224}}$$return {
["body"] = 48,
["id"] = "1KQVXb_1115_2126",
["obtiznost"] = 0.5692,
["reseni"] = {
["float"] = -1.8080357142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -405,
["jmenovatel"] = 224 },
["render"] = "\\frac{-810}{448}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{181}{224}",
["x"] = -1,
["y"] = 181,
["z"] = 224 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3}{-8})^2",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot 2\\frac{4}{7} \\cdot (\\frac{3}{-8})^2",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.35, bodu=68, $$10 \cdot (9 - 2\frac{4}{9} \cdot 1\frac{4}{9})=\textcolor{white}{54\frac{56}{81}}$$return {
["body"] = 68,
["id"] = "rKJMEP_1115_2126",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 54.691358024691,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4430,
["jmenovatel"] = 81 },
["render"] = "\\frac{4430}{81}",
["typ"] = "cislo" },
["tex"] = "54\\frac{56}{81}",
["x"] = 54,
["y"] = 56,
["z"] = 81 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "9 - 2\\frac{4}{9} \\cdot 1\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(9 - 2\\frac{4}{9} \\cdot 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (9 - 2\\frac{4}{9} \\cdot 1\\frac{4}{9})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.36, bodu=86, $$4 \cdot (2\frac{1}{4} - (\frac{4\frac{2}{4}}{-6})^4)=\textcolor{white}{7\frac{47}{64}}$$return {
["body"] = 86,
["id"] = "PU0A2y_1115_2126",
["obtiznost"] = 0.8948,
["reseni"] = {
["float"] = 7.734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 495,
["jmenovatel"] = 64 },
["render"] = "\\frac{1980}{256}",
["typ"] = "cislo" },
["tex"] = "7\\frac{47}{64}",
["x"] = 7,
["y"] = 47,
["z"] = 64 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4}}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{2}{4}}{-6})^4",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{4} - (\\frac{4\\frac{2}{4}}{-6})^4",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - (\\frac{4\\frac{2}{4}}{-6})^4)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (2\\frac{1}{4} - (\\frac{4\\frac{2}{4}}{-6})^4)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.37, bodu=48, $$\frac{\frac{-9}{3\frac{5}{9}}}{11 \cdot -5}=\textcolor{white}{\frac{81}{1760}}$$return {
["body"] = 48,
["id"] = "297rh9_1115_2126",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 0.046022727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1760 },
["render"] = "\\frac{-81}{-1760}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{1760}",
["y"] = 81,
["z"] = 1760 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "11 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-9}{3\\frac{5}{9}}}{11 \\cdot -5}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.38, bodu=71, $$3\frac{2}{8} - (2\frac{5}{10} - 13) \cdot 7=\textcolor{white}{76{,}75}$$return {
["body"] = 71,
["id"] = "p5Qgno_1115_2126",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 76.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 4 },
["render"] = "\\frac{614}{8}",
["typ"] = "cislo" },
["tex"] = "76\\frac{3}{4}",
["tex_float"] = "76{,}75",
["x"] = 76,
["y"] = 3,
["z"] = 4 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{10} - 13) \\cdot 7",
["typ"] = "krat" },
["render"] = "3\\frac{2}{8} - (2\\frac{5}{10} - 13) \\cdot 7",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.39, bodu=53, $$(\frac{9 - 2\frac{4}{7} \cdot 5}{9})^2=\textcolor{white}{\frac{9}{49}}$$return {
["body"] = 53,
["id"] = "ET7Gv6_1115_2126",
["obtiznost"] = 0.6132,
["reseni"] = {
["float"] = 0.18367346938776,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 49 },
["render"] = "\\frac{9}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{49}",
["y"] = 9,
["z"] = 49 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.39",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} \\cdot 5",
["typ"] = "krat" },
["render"] = "9 - 2\\frac{4}{7} \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 2\\frac{4}{7} \\cdot 5}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9 - 2\\frac{4}{7} \\cdot 5}{9})^2",
["typ"] = "mocnina" } }
seed: M4fM5urazJIPEvCq6Uxa_0.4, bodu=100, $$-11 - 2\frac{1}{7} + 6 + 3\frac{2}{6} - (4\frac{1}{4} + 10)=\textcolor{white}{-18\frac{5}{84}}$$return {
["body"] = 100,
["id"] = "6IC6CY_1115_2126",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -18.059523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1517,
["jmenovatel"] = 84 },
["render"] = "\\frac{-1517}{84}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{5}{84}",
["x"] = -18,
["y"] = 5,
["z"] = 84 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{1}{7} + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} + 10)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{6} - (4\\frac{1}{4} + 10)",
["typ"] = "minus" },
["render"] = "-11 - 2\\frac{1}{7} + 6 + 3\\frac{2}{6} - (4\\frac{1}{4} + 10)",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.41, bodu=52, $$\frac{-11 + 10 + 2\frac{5}{8}}{6 + (-7) + (-10)}=\textcolor{white}{-\frac{13}{88}}$$return {
["body"] = 52,
["id"] = "PPwqCF_1115_2126",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -0.14772727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 88 },
["render"] = "\\frac{13}{-88}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{88}",
["y"] = -13,
["z"] = 88 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "-11 + 10 + 2\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 + (-7) + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-11 + 10 + 2\\frac{5}{8}}{6 + (-7) + (-10)}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.42, bodu=88, $$((7 - 8) \cdot 9)^3 + 3\frac{5}{10} - (-4)=\textcolor{white}{-721{,}5}$$return {
["body"] = 88,
["id"] = "K5V5L0_1115_2126",
["obtiznost"] = 0.912,
["reseni"] = {
["float"] = -721.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1443,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1443}{2}",
["typ"] = "cislo" },
["tex"] = "-721\\frac{1}{2}",
["tex_float"] = "-721{,}5",
["x"] = -721,
["y"] = 1,
["z"] = 2 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(7 - 8) \\cdot 9",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((7 - 8) \\cdot 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-4)",
["typ"] = "minus" },
["render"] = "((7 - 8) \\cdot 9)^3 + 3\\frac{5}{10} - (-4)",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.43, bodu=78, $$(11 - 2\frac{1}{2}) \cdot (10 - \frac{3\frac{1}{4}}{7})=\textcolor{white}{81\frac{3}{56}}$$return {
["body"] = 78,
["id"] = "fx0Bmi_1115_2126",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 81.053571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4539,
["jmenovatel"] = 56 },
["render"] = "\\frac{4539}{56}",
["typ"] = "cislo" },
["tex"] = "81\\frac{3}{56}",
["x"] = 81,
["y"] = 3,
["z"] = 56 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "11 - 2\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "(11 - 2\\frac{1}{2})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4}}{7}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{3\\frac{1}{4}}{7}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{3\\frac{1}{4}}{7})",
["typ"] = "zavorka" },
["render"] = "(11 - 2\\frac{1}{2}) \\cdot (10 - \\frac{3\\frac{1}{4}}{7})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.44, bodu=56, $$((8 + 4\frac{5}{9}) \cdot (6 + 11) - 12) \cdot -10=\textcolor{white}{-2014\frac{4}{9}}$$return {
["body"] = 56,
["id"] = "Xccrho_1115_2126",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = -2014.4444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18130,
["jmenovatel"] = 9 },
["render"] = "\\frac{-18130}{9}",
["typ"] = "cislo" },
["tex"] = "-2014\\frac{4}{9}",
["x"] = -2014,
["y"] = 4,
["z"] = 9 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(8 + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 + 11",
["typ"] = "plus" },
["render"] = "(6 + 11)",
["typ"] = "zavorka" },
["render"] = "(8 + 4\\frac{5}{9}) \\cdot (6 + 11)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(8 + 4\\frac{5}{9}) \\cdot (6 + 11) - 12",
["typ"] = "minus" },
["render"] = "((8 + 4\\frac{5}{9}) \\cdot (6 + 11) - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "((8 + 4\\frac{5}{9}) \\cdot (6 + 11) - 12) \\cdot -10",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.45, bodu=88, $$(\frac{1\frac{4}{6}}{-10} \cdot -10)^3 - (2\frac{5}{8} - 6)=\textcolor{white}{8\frac{1}{216}}$$return {
["body"] = 88,
["id"] = "o9zsQ7_1115_2126",
["obtiznost"] = 0.9108,
["reseni"] = {
["float"] = 8.0046296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1729,
["jmenovatel"] = 216 },
["render"] = "\\frac{1729}{216}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1}{216}",
["x"] = 8,
["y"] = 1,
["z"] = 216 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{6}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{6}}{-10} \\cdot -10",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{4}{6}}{-10} \\cdot -10)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 6",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{8} - 6)",
["typ"] = "zavorka" },
["render"] = "(\\frac{1\\frac{4}{6}}{-10} \\cdot -10)^3 - (2\\frac{5}{8} - 6)",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.46, bodu=108, $$5 \cdot (2\frac{3}{7} \cdot -7 \cdot 4\frac{5}{10} + 2\frac{3}{6})=\textcolor{white}{-370}$$return {
["body"] = 108,
["id"] = "IcXT5d_1115_2126",
["obtiznost"] = 1.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -370,
["jmenovatel"] = 1 },
["render"] = "\\frac{-370}{1}",
["typ"] = "cislo" },
["tex"] = "-370",
["tex_float"] = "-370",
["x"] = -370 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{7} \\cdot -7 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} \\cdot -7 \\cdot 4\\frac{5}{10} + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} \\cdot -7 \\cdot 4\\frac{5}{10} + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (2\\frac{3}{7} \\cdot -7 \\cdot 4\\frac{5}{10} + 2\\frac{3}{6})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.47, bodu=38, $$\frac{14}{-15} \cdot (12 + (-17)) \cdot 13=\textcolor{white}{60\frac{2}{3}}$$return {
["body"] = 38,
["id"] = "Xoj4Hz_1115_2126",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 60.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 182,
["jmenovatel"] = 3 },
["render"] = "\\frac{182}{3}",
["typ"] = "cislo" },
["tex"] = "60\\frac{2}{3}",
["x"] = 60,
["y"] = 2,
["z"] = 3 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "12 + (-17)",
["typ"] = "plus" },
["render"] = "(12 + (-17))",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{-15} \\cdot (12 + (-17))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-15} \\cdot (12 + (-17)) \\cdot 13",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.48, bodu=87, $$(\frac{12}{14})^3 \cdot (9 + 2\frac{3}{8} + (-9))=\textcolor{white}{1\frac{170}{343}}$$return {
["body"] = 87,
["id"] = "TaGkLl_1115_2126",
["obtiznost"] = 0.9036,
["reseni"] = {
["float"] = 1.4956268221574,
["objekt"] = {
["hodnota"] = {
["citatel"] = 513,
["jmenovatel"] = 343 },
["render"] = "\\frac{4104}{2744}",
["typ"] = "cislo" },
["tex"] = "1\\frac{170}{343}",
["x"] = 1,
["y"] = 170,
["z"] = 343 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{14})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + (-9)",
["typ"] = "plus" },
["render"] = "9 + 2\\frac{3}{8} + (-9)",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{3}{8} + (-9))",
["typ"] = "zavorka" },
["render"] = "(\\frac{12}{14})^3 \\cdot (9 + 2\\frac{3}{8} + (-9))",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.49, bodu=61, $$(11 + 2\frac{3}{5} \cdot 10) \cdot \frac{-12}{7}=\textcolor{white}{-63\frac{3}{7}}$$return {
["body"] = 61,
["id"] = "6CgI0K_1115_2126",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -63.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -444,
["jmenovatel"] = 7 },
["render"] = "\\frac{-444}{7}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{3}{7}",
["x"] = -63,
["y"] = 3,
["z"] = 7 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 10",
["typ"] = "krat" },
["render"] = "11 + 2\\frac{3}{5} \\cdot 10",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{3}{5} \\cdot 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{7}",
["typ"] = "lomeno" },
["render"] = "(11 + 2\\frac{3}{5} \\cdot 10) \\cdot \\frac{-12}{7}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.5, bodu=62, $$\frac{17}{1\frac{1}{4} - 9 \cdot 12 - 3}=\textcolor{white}{-\frac{68}{439}}$$return {
["body"] = 62,
["id"] = "9mSsWt_1115_2126",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -0.15489749430524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 439 },
["render"] = "\\frac{68}{-439}",
["typ"] = "cislo" },
["tex"] = "-\\frac{68}{439}",
["y"] = -68,
["z"] = 439 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{1}{4} - 9 \\cdot 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} - 9 \\cdot 12 - 3",
["typ"] = "minus" },
["render"] = "\\frac{17}{1\\frac{1}{4} - 9 \\cdot 12 - 3}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.51, bodu=88, $$\frac{-10 \cdot 11}{-16 \cdot 1\frac{1}{2} + 3\frac{5}{9}}=\textcolor{white}{5\frac{35}{92}}$$return {
["body"] = 88,
["id"] = "R4Nta8_1115_2126",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 5.3804347826087,
["objekt"] = {
["hodnota"] = {
["citatel"] = 495,
["jmenovatel"] = 92 },
["render"] = "\\frac{-990}{-184}",
["typ"] = "cislo" },
["tex"] = "5\\frac{35}{92}",
["x"] = 5,
["y"] = 35,
["z"] = 92 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 1\\frac{1}{2}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 1\\frac{1}{2} + 3\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-10 \\cdot 11}{-16 \\cdot 1\\frac{1}{2} + 3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.52, bodu=64, $$15 \cdot (6 + (-15) + \frac{1\frac{3}{4}}{-10})=\textcolor{white}{-137{,}625}$$return {
["body"] = 64,
["id"] = "QWMhFo_1115_2126",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -137.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1101,
["jmenovatel"] = 8 },
["render"] = "\\frac{-5505}{40}",
["typ"] = "cislo" },
["tex"] = "-137\\frac{5}{8}",
["tex_float"] = "-137{,}625",
["x"] = -137,
["y"] = 5,
["z"] = 8 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "6 + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{4}}{-10}",
["typ"] = "lomeno" },
["render"] = "6 + (-15) + \\frac{1\\frac{3}{4}}{-10}",
["typ"] = "plus" },
["render"] = "(6 + (-15) + \\frac{1\\frac{3}{4}}{-10})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (6 + (-15) + \\frac{1\\frac{3}{4}}{-10})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.53, bodu=66, $$8 \cdot \frac{-9 \cdot 9}{1\frac{1}{4}}=\textcolor{white}{-518{,}4}$$return {
["body"] = 66,
["id"] = "QgBmVx_1115_2126",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -518.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2592,
["jmenovatel"] = 5 },
["render"] = "\\frac{-2592}{5}",
["typ"] = "cislo" },
["tex"] = "-518\\frac{2}{5}",
["tex_float"] = "-518{,}4",
["x"] = -518,
["y"] = 2,
["z"] = 5 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot 9}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-9 \\cdot 9}{1\\frac{1}{4}}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.54, bodu=92, $$\frac{2\frac{2}{6} - (-18)}{-8} \cdot 1\frac{2}{6} \cdot 9=\textcolor{white}{-30{,}5}$$return {
["body"] = 92,
["id"] = "JPWKe3_1115_2126",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -30.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 2 },
["render"] = "\\frac{-732}{24}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1}{2}",
["tex_float"] = "-30{,}5",
["x"] = -30,
["y"] = 1,
["z"] = 2 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6} - (-18)}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{6} - (-18)}{-8} \\cdot 1\\frac{2}{6} \\cdot 9",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.55, bodu=120, $$1\frac{5}{11} + (-12 - 15) - \frac{3\frac{1}{3} + 13}{2\frac{4}{8}}=\textcolor{white}{-32\frac{13}{165}}$$return {
["body"] = 120,
["id"] = "zMMqpC_1115_2126",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -32.078787878788,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5293,
["jmenovatel"] = 165 },
["render"] = "\\frac{-5293}{165}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{13}{165}",
["x"] = -32,
["y"] = 13,
["z"] = 165 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-12 - 15",
["typ"] = "minus" },
["render"] = "1\\frac{5}{11} + (-12 - 15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{3} + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3} + 13}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{11} + (-12 - 15) - \\frac{3\\frac{1}{3} + 13}{2\\frac{4}{8}}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.56, bodu=94, $$14 + (-8) - 3\frac{1}{4} - \frac{3\frac{2}{10} + 5}{11}=\textcolor{white}{2\frac{1}{220}}$$return {
["body"] = 94,
["id"] = "X2Gg0G_1115_2126",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 2.0045454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 220 },
["render"] = "\\frac{441}{220}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{220}",
["x"] = 2,
["y"] = 1,
["z"] = 220 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "14 + (-8) - 3\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10} + 5}{11}",
["typ"] = "lomeno" },
["render"] = "14 + (-8) - 3\\frac{1}{4} - \\frac{3\\frac{2}{10} + 5}{11}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.57, bodu=48, $$\frac{\frac{15}{-18}}{6 + 17 - (-3)}=\textcolor{white}{-\frac{5}{156}}$$return {
["body"] = 48,
["id"] = "I5ND7c_1115_2126",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -0.032051282051282,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 156 },
["render"] = "\\frac{-5}{156}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{156}",
["y"] = -5,
["z"] = 156 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "6 + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "6 + 17 - (-3)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{15}{-18}}{6 + 17 - (-3)}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.58, bodu=72, $$\frac{14}{3\frac{3}{4} \cdot (-13 + 14)^4} \cdot -9=\textcolor{white}{-33{,}6}$$return {
["body"] = 72,
["id"] = "IBgBwJ_1115_2126",
["obtiznost"] = 0.7808,
["reseni"] = {
["float"] = -33.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -168,
["jmenovatel"] = 5 },
["render"] = "\\frac{-504}{15}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{3}{5}",
["tex_float"] = "-33{,}6",
["x"] = -33,
["y"] = 3,
["z"] = 5 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-13 + 14",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-13 + 14)^4",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{4} \\cdot (-13 + 14)^4",
["typ"] = "krat" },
["render"] = "\\frac{14}{3\\frac{3}{4} \\cdot (-13 + 14)^4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{14}{3\\frac{3}{4} \\cdot (-13 + 14)^4} \\cdot -9",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.59, bodu=25, $$10 + 6 + (-14) + (-12 \cdot (-18 + 8))=\textcolor{white}{122}$$return {
["body"] = 25,
["id"] = "Qfo4lH_1115_2126",
["obtiznost"] = 0.59,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 122,
["jmenovatel"] = 1 },
["render"] = "\\frac{122}{1}",
["typ"] = "cislo" },
["tex"] = "122",
["x"] = 122 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 + 6 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-18 + 8",
["typ"] = "plus" },
["render"] = "(-18 + 8)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (-18 + 8)",
["typ"] = "krat" },
["render"] = "10 + 6 + (-14) + (-12 \\cdot (-18 + 8))",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.6, bodu=74, $$-8 - (3 + 15 - (-11) + 12 \cdot 2\frac{2}{3})=\textcolor{white}{-69}$$return {
["body"] = 74,
["id"] = "FMVluD_1115_2126",
["obtiznost"] = 0.8,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 1 },
["render"] = "\\frac{-69}{1}",
["typ"] = "cislo" },
["tex"] = "-69",
["x"] = -69 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "15 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "15 - (-11) + 12 \\cdot 2\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "3 + 15 - (-11) + 12 \\cdot 2\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(3 + 15 - (-11) + 12 \\cdot 2\\frac{2}{3})",
["typ"] = "zavorka" },
["render"] = "-8 - (3 + 15 - (-11) + 12 \\cdot 2\\frac{2}{3})",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.61, bodu=160, $$\frac{\frac{3\frac{2}{9}}{4\frac{4}{12}}}{1\frac{2}{8}} - (-19 \cdot 3\frac{1}{3})=\textcolor{white}{63\frac{181}{195}}$$return {
["body"] = 160,
["id"] = "sq6WSO_1115_2126",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 63.928205128205,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12466,
["jmenovatel"] = 195 },
["render"] = "\\frac{37398}{585}",
["typ"] = "cislo" },
["tex"] = "63\\frac{181}{195}",
["x"] = 63,
["y"] = 181,
["z"] = 195 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{4\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{9}}{4\\frac{4}{12}}}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 3\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{3\\frac{2}{9}}{4\\frac{4}{12}}}{1\\frac{2}{8}} - (-19 \\cdot 3\\frac{1}{3})",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.62, bodu=102, $$\frac{3\frac{3}{6} \cdot 8 \cdot 13}{4\frac{3}{4} - 11}=\textcolor{white}{-58{,}24}$$return {
["body"] = 102,
["id"] = "GnT8SL_1115_2126",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -58.24,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1456,
["jmenovatel"] = 25 },
["render"] = "\\frac{1456}{-25}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{6}{25}",
["tex_float"] = "-58{,}24",
["x"] = -58,
["y"] = 6,
["z"] = 25 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} \\cdot 8 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{4} - 11",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{3}{6} \\cdot 8 \\cdot 13}{4\\frac{3}{4} - 11}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.63, bodu=104, $$\frac{-13}{\frac{7}{2\frac{1}{8}}} \cdot (3\frac{3}{5} - 13)=\textcolor{white}{37\frac{27}{280}}$$return {
["body"] = 104,
["id"] = "crmiR5_1115_2126",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 37.096428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10387,
["jmenovatel"] = 280 },
["render"] = "\\frac{10387}{280}",
["typ"] = "cislo" },
["tex"] = "37\\frac{27}{280}",
["x"] = 37,
["y"] = 27,
["z"] = 280 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{2\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{7}{2\\frac{1}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} - 13",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{5} - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{\\frac{7}{2\\frac{1}{8}}} \\cdot (3\\frac{3}{5} - 13)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.64, bodu=105, $$-14 \cdot (14 + \frac{3\frac{4}{11} - 7}{1\frac{1}{4}} \cdot 15)=\textcolor{white}{414\frac{10}{11}}$$return {
["body"] = 105,
["id"] = "bZ1PfO_1115_2126",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 414.90909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4564,
["jmenovatel"] = 11 },
["render"] = "\\frac{4564}{11}",
["typ"] = "cislo" },
["tex"] = "414\\frac{10}{11}",
["x"] = 414,
["y"] = 10,
["z"] = 11 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - 7}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11} - 7}{1\\frac{1}{4}} \\cdot 15",
["typ"] = "krat" },
["render"] = "14 + \\frac{3\\frac{4}{11} - 7}{1\\frac{1}{4}} \\cdot 15",
["typ"] = "plus" },
["render"] = "(14 + \\frac{3\\frac{4}{11} - 7}{1\\frac{1}{4}} \\cdot 15)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (14 + \\frac{3\\frac{4}{11} - 7}{1\\frac{1}{4}} \\cdot 15)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.65, bodu=106, $$-5 - (8 - 2\frac{5}{8}) \cdot 2\frac{2}{6} + (-14) + (-5)=\textcolor{white}{-36\frac{13}{24}}$$return {
["body"] = 106,
["id"] = "f0tOcK_1115_2126",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -36.541666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -877,
["jmenovatel"] = 24 },
["render"] = "\\frac{-877}{24}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{13}{24}",
["x"] = -36,
["y"] = 13,
["z"] = 24 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "8 - 2\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(8 - 2\\frac{5}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(8 - 2\\frac{5}{8}) \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "-5 - (8 - 2\\frac{5}{8}) \\cdot 2\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-5 - (8 - 2\\frac{5}{8}) \\cdot 2\\frac{2}{6} + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-5 - (8 - 2\\frac{5}{8}) \\cdot 2\\frac{2}{6} + (-14) + (-5)",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.66, bodu=29, $$(4 - (-16 \cdot -17)) \cdot (-9 - 6)=\textcolor{white}{4020}$$return {
["body"] = 29,
["id"] = "TFNqGd_1115_2126",
["obtiznost"] = 0.66,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4020,
["jmenovatel"] = 1 },
["render"] = "\\frac{4020}{1}",
["typ"] = "cislo" },
["tex"] = "4020",
["x"] = 4020 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -17",
["typ"] = "krat" },
["render"] = "4 - (-16 \\cdot -17)",
["typ"] = "minus" },
["render"] = "(4 - (-16 \\cdot -17))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 - 6",
["typ"] = "minus" },
["render"] = "(-9 - 6)",
["typ"] = "zavorka" },
["render"] = "(4 - (-16 \\cdot -17)) \\cdot (-9 - 6)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.67, bodu=138, $$(3\frac{2}{7} \cdot 4\frac{4}{5} + (-15)) \cdot (8 \cdot 10 + 1\frac{1}{7})=\textcolor{white}{62\frac{146}{245}}$$return {
["body"] = 138,
["id"] = "eo4SlC_1115_2126",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 62.595918367347,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15336,
["jmenovatel"] = 245 },
["render"] = "\\frac{15336}{245}",
["typ"] = "cislo" },
["tex"] = "62\\frac{146}{245}",
["x"] = 62,
["y"] = 146,
["z"] = 245 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 4\\frac{4}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 4\\frac{4}{5} + (-15)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} \\cdot 4\\frac{4}{5} + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(8 \\cdot 10 + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{2}{7} \\cdot 4\\frac{4}{5} + (-15)) \\cdot (8 \\cdot 10 + 1\\frac{1}{7})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.68, bodu=120, $$(-17 - (2\frac{4}{8} - 13))^2 \cdot 4 - (13 + 1\frac{1}{5})=\textcolor{white}{154{,}8}$$return {
["body"] = 120,
["id"] = "zgT8Pz_1115_2126",
["obtiznost"] = 1.1492,
["reseni"] = {
["float"] = 154.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 774,
["jmenovatel"] = 5 },
["render"] = "\\frac{774}{5}",
["typ"] = "cislo" },
["tex"] = "154\\frac{4}{5}",
["tex_float"] = "154{,}8",
["x"] = 154,
["y"] = 4,
["z"] = 5 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{8} - 13)",
["typ"] = "zavorka" },
["render"] = "-17 - (2\\frac{4}{8} - 13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-17 - (2\\frac{4}{8} - 13))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(-17 - (2\\frac{4}{8} - 13))^2 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(13 + 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(-17 - (2\\frac{4}{8} - 13))^2 \\cdot 4 - (13 + 1\\frac{1}{5})",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.69, bodu=141, $$(-11 - 1\frac{5}{7}) \cdot \frac{4\frac{5}{11}}{\frac{2\frac{4}{10}}{13}}=\textcolor{white}{-306\frac{103}{132}}$$return {
["body"] = 141,
["id"] = "6Sm0xp_1115_2126",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -306.7803030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40495,
["jmenovatel"] = 132 },
["render"] = "\\frac{-283465}{924}",
["typ"] = "cislo" },
["tex"] = "-306\\frac{103}{132}",
["x"] = -306,
["y"] = 103,
["z"] = 132 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-11 - 1\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(-11 - 1\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{10}}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{2\\frac{4}{10}}{13}}",
["typ"] = "lomeno" },
["render"] = "(-11 - 1\\frac{5}{7}) \\cdot \\frac{4\\frac{5}{11}}{\\frac{2\\frac{4}{10}}{13}}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.7, bodu=113, $$3\frac{2}{4} \cdot (-15 + (-8 - \frac{1\frac{1}{7}}{-9})) + 14=\textcolor{white}{-66\frac{1}{18}}$$return {
["body"] = 113,
["id"] = "IsbI35_1115_2126",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -66.055555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1189,
["jmenovatel"] = 18 },
["render"] = "\\frac{-1189}{18}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{1}{18}",
["x"] = -66,
["y"] = 1,
["z"] = 18 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{-9}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{1\\frac{1}{7}}{-9}",
["typ"] = "minus" },
["render"] = "-15 + (-8 - \\frac{1\\frac{1}{7}}{-9})",
["typ"] = "plus" },
["render"] = "(-15 + (-8 - \\frac{1\\frac{1}{7}}{-9}))",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{4} \\cdot (-15 + (-8 - \\frac{1\\frac{1}{7}}{-9}))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} \\cdot (-15 + (-8 - \\frac{1\\frac{1}{7}}{-9})) + 14",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.71, bodu=176, $$(4\frac{2}{8} - 2\frac{3}{5} + 2\frac{5}{11}) \cdot -11 \cdot 2\frac{3}{6} \cdot -16=\textcolor{white}{1806}$$return {
["body"] = 176,
["id"] = "bi1GzK_1115_2126",
["obtiznost"] = 1.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1806,
["jmenovatel"] = 1 },
["render"] = "\\frac{36120}{20}",
["typ"] = "cislo" },
["tex"] = "1806",
["x"] = 1806 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 2\\frac{3}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 2\\frac{3}{5} + 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{8} - 2\\frac{3}{5} + 2\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{8} - 2\\frac{3}{5} + 2\\frac{5}{11}) \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} \\cdot -16",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{8} - 2\\frac{3}{5} + 2\\frac{5}{11}) \\cdot -11 \\cdot 2\\frac{3}{6} \\cdot -16",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.72, bodu=116, $$(4\frac{5}{7} + \frac{-10}{2\frac{1}{5}}) \cdot (-9 - (-11)) \cdot -11=\textcolor{white}{-3\frac{5}{7}}$$return {
["body"] = 116,
["id"] = "ElhuAz_1115_2126",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -3.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26,
["jmenovatel"] = 7 },
["render"] = "\\frac{-286}{77}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{5}{7}",
["x"] = -3,
["y"] = 5,
["z"] = 7 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{7} + \\frac{-10}{2\\frac{1}{5}}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{7} + \\frac{-10}{2\\frac{1}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 - (-11)",
["typ"] = "minus" },
["render"] = "(-9 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-9 - (-11)) \\cdot -11",
["typ"] = "krat" },
["render"] = "(4\\frac{5}{7} + \\frac{-10}{2\\frac{1}{5}}) \\cdot (-9 - (-11)) \\cdot -11",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.73, bodu=123, $$\frac{\frac{2\frac{4}{9}}{-6 \cdot -10}}{(-14 + 4)^2 + 2\frac{2}{8}}=\textcolor{white}{\frac{22}{55215}}$$return {
["body"] = 123,
["id"] = "IT5z6c_1115_2126",
["obtiznost"] = 1.1704,
["reseni"] = {
["float"] = 0.00039844245223218,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 55215 },
["render"] = "\\frac{44}{110430}",
["typ"] = "cislo" },
["tex"] = "\\frac{22}{55215}",
["y"] = 22,
["z"] = 55215 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{9}}{-6 \\cdot -10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-14 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(-14 + 4)^2 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{4}{9}}{-6 \\cdot -10}}{(-14 + 4)^2 + 2\\frac{2}{8}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.74, bodu=206, $$(-20 + (-6)) \cdot \frac{(\frac{1\frac{4}{9}}{2\frac{3}{5}})^3}{1\frac{4}{8}}=\textcolor{white}{-2\frac{2126}{2187}}$$return {
["body"] = 206,
["id"] = "QM91c7_1115_2126",
["obtiznost"] = 1.6816,
["reseni"] = {
["float"] = -2.9721079103795,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6500,
["jmenovatel"] = 2187 },
["render"] = "\\frac{-6500}{2187}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2126}{2187}",
["x"] = -2,
["y"] = 2126,
["z"] = 2187 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-20 + (-6)",
["typ"] = "plus" },
["render"] = "(-20 + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{4}{9}}{2\\frac{3}{5}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{1\\frac{4}{9}}{2\\frac{3}{5}})^3}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["render"] = "(-20 + (-6)) \\cdot \\frac{(\\frac{1\\frac{4}{9}}{2\\frac{3}{5}})^3}{1\\frac{4}{8}}",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.75, bodu=120, $$(-10 - 2\frac{1}{7}) \cdot 2\frac{3}{11} \cdot -20 \cdot 13=\textcolor{white}{7175\frac{25}{77}}$$return {
["body"] = 120,
["id"] = "iKI28D_1115_2126",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 7175.3246753247,
["objekt"] = {
["hodnota"] = {
["citatel"] = 552500,
["jmenovatel"] = 77 },
["render"] = "\\frac{552500}{77}",
["typ"] = "cislo" },
["tex"] = "7175\\frac{25}{77}",
["x"] = 7175,
["y"] = 25,
["z"] = 77 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(-10 - 2\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} \\cdot -20",
["typ"] = "krat" },
["render"] = "(-10 - 2\\frac{1}{7}) \\cdot 2\\frac{3}{11} \\cdot -20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-10 - 2\\frac{1}{7}) \\cdot 2\\frac{3}{11} \\cdot -20 \\cdot 13",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.76, bodu=183, $$2\frac{2}{8} - (\frac{14}{10})^3 \cdot -10 + 3\frac{3}{13} + 4\frac{3}{4}=\textcolor{white}{37\frac{218}{325}}$$return {
["body"] = 183,
["id"] = "tFKn3L_1115_2126",
["obtiznost"] = 1.5472,
["reseni"] = {
["float"] = 37.670769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12243,
["jmenovatel"] = 325 },
["render"] = "\\frac{195888}{5200}",
["typ"] = "cislo" },
["tex"] = "37\\frac{218}{325}",
["x"] = 37,
["y"] = 218,
["z"] = 325 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{14}{10})^3 \\cdot -10",
["typ"] = "krat" },
["render"] = "2\\frac{2}{8} - (\\frac{14}{10})^3 \\cdot -10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{13} + 4\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{8} - (\\frac{14}{10})^3 \\cdot -10 + 3\\frac{3}{13} + 4\\frac{3}{4}",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.77, bodu=187, $$\frac{\frac{10}{3\frac{1}{10}} - 2\frac{3}{10}}{1\frac{4}{6} - 3\frac{1}{3}}=\textcolor{white}{-\frac{861}{1550}}$$return {
["body"] = 187,
["id"] = "gN5HbW_1115_2126",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -0.55548387096774,
["objekt"] = {
["hodnota"] = {
["citatel"] = -861,
["jmenovatel"] = 1550 },
["render"] = "\\frac{861}{-1550}",
["typ"] = "cislo" },
["tex"] = "-\\frac{861}{1550}",
["y"] = -861,
["z"] = 1550 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{10}} - 2\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 3\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{10}{3\\frac{1}{10}} - 2\\frac{3}{10}}{1\\frac{4}{6} - 3\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.78, bodu=223, $$4\frac{1}{4} + \frac{3\frac{5}{9}}{-9 + 4\frac{1}{5}} - (14 + 2\frac{4}{6} - 2\frac{5}{12})=\textcolor{white}{-10\frac{20}{27}}$$return {
["body"] = 223,
["id"] = "EQmsmg_1115_2126",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -10.740740740741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -290,
["jmenovatel"] = 27 },
["render"] = "\\frac{-4640}{432}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{20}{27}",
["x"] = -10,
["y"] = 20,
["z"] = 27 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{9}}{-9 + 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{4} + \\frac{3\\frac{5}{9}}{-9 + 4\\frac{1}{5}}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{4}{6} - 2\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(14 + 2\\frac{4}{6} - 2\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{4} + \\frac{3\\frac{5}{9}}{-9 + 4\\frac{1}{5}} - (14 + 2\\frac{4}{6} - 2\\frac{5}{12})",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.79, bodu=126, $$(4\frac{4}{12} + (-18)) \cdot (13 + 3\frac{3}{11}) \cdot 7 \cdot -2=\textcolor{white}{3113\frac{17}{33}}$$return {
["body"] = 126,
["id"] = "Bc8TjA_1115_2126",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 3113.5151515152,
["objekt"] = {
["hodnota"] = {
["citatel"] = 102746,
["jmenovatel"] = 33 },
["render"] = "\\frac{102746}{33}",
["typ"] = "cislo" },
["tex"] = "3113\\frac{17}{33}",
["x"] = 3113,
["y"] = 17,
["z"] = 33 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + (-18)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{12} + (-18))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(13 + 3\\frac{3}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(13 + 3\\frac{3}{11}) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "(13 + 3\\frac{3}{11}) \\cdot 7 \\cdot -2",
["typ"] = "krat" },
["render"] = "(4\\frac{4}{12} + (-18)) \\cdot (13 + 3\\frac{3}{11}) \\cdot 7 \\cdot -2",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.8, bodu=159, $$4\frac{2}{8} - \frac{\frac{2\frac{4}{7}}{16 - \frac{-20}{-14}}}{3\frac{5}{13}}=\textcolor{white}{4\frac{37}{187}}$$return {
["body"] = 159,
["id"] = "k1QPAH_1115_2126",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 4.1978609625668,
["objekt"] = {
["hodnota"] = {
["citatel"] = 785,
["jmenovatel"] = 187 },
["render"] = "\\frac{12560}{2992}",
["typ"] = "cislo" },
["tex"] = "4\\frac{37}{187}",
["x"] = 4,
["y"] = 37,
["z"] = 187 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{-14}",
["typ"] = "lomeno" },
["render"] = "16 - \\frac{-20}{-14}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{7}}{16 - \\frac{-20}{-14}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{7}}{16 - \\frac{-20}{-14}}}{3\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{8} - \\frac{\\frac{2\\frac{4}{7}}{16 - \\frac{-20}{-14}}}{3\\frac{5}{13}}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.81, bodu=229, $$2\frac{3}{8} \cdot ((\frac{2\frac{4}{12}}{4\frac{3}{10}} + 7 + 4\frac{1}{7}) \cdot 1\frac{5}{12} - (-5))=\textcolor{white}{51\frac{4157}{21672}}$$return {
["body"] = 229,
["id"] = "VTOmYC_1115_2126",
["obtiznost"] = 1.81,
["reseni"] = {
["float"] = 51.191814322628,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1109429,
["jmenovatel"] = 21672 },
["render"] = "\\frac{1109429}{21672}",
["typ"] = "cislo" },
["tex"] = "51\\frac{4157}{21672}",
["x"] = 51,
["y"] = 4157,
["z"] = 21672 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{12}}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7}) \\cdot 1\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7}) \\cdot 1\\frac{5}{12} - (-5)",
["typ"] = "minus" },
["render"] = "((\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7}) \\cdot 1\\frac{5}{12} - (-5))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} \\cdot ((\\frac{2\\frac{4}{12}}{4\\frac{3}{10}} + 7 + 4\\frac{1}{7}) \\cdot 1\\frac{5}{12} - (-5))",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.82, bodu=131, $$3\frac{5}{10} - 17 + (\frac{12}{2\frac{4}{12}} - 13) \cdot -17=\textcolor{white}{120\frac{1}{14}}$$return {
["body"] = 131,
["id"] = "f5ykIV_1115_2126",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 120.07142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1681,
["jmenovatel"] = 14 },
["render"] = "\\frac{1681}{14}",
["typ"] = "cislo" },
["tex"] = "120\\frac{1}{14}",
["x"] = 120,
["y"] = 1,
["z"] = 14 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{4}{12}} - 13",
["typ"] = "minus" },
["render"] = "(\\frac{12}{2\\frac{4}{12}} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{2\\frac{4}{12}} - 13) \\cdot -17",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} - 17 + (\\frac{12}{2\\frac{4}{12}} - 13) \\cdot -17",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.83, bodu=197, $$\frac{3\frac{2}{8} \cdot 3\frac{5}{11} \cdot 1\frac{2}{10}}{2\frac{2}{9}} - (17 - (-20))=\textcolor{white}{-30\frac{1031}{1100}}$$return {
["body"] = 197,
["id"] = "0fqHew_1115_2126",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = -30.937272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34031,
["jmenovatel"] = 1100 },
["render"] = "\\frac{-34031}{1100}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1031}{1100}",
["x"] = -30,
["y"] = 1031,
["z"] = 1100 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} \\cdot 3\\frac{5}{11} \\cdot 1\\frac{2}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8} \\cdot 3\\frac{5}{11} \\cdot 1\\frac{2}{10}}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "17 - (-20)",
["typ"] = "minus" },
["render"] = "(17 - (-20))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{8} \\cdot 3\\frac{5}{11} \\cdot 1\\frac{2}{10}}{2\\frac{2}{9}} - (17 - (-20))",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.84, bodu=157, $$((\frac{-17}{9})^2 \cdot 3\frac{1}{6} - 1\frac{5}{12} + (-11)) \cdot 6=\textcolor{white}{-6\frac{115}{162}}$$return {
["body"] = 157,
["id"] = "qFJsyt_1115_2126",
["obtiznost"] = 1.388,
["reseni"] = {
["float"] = -6.7098765432099,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1087,
["jmenovatel"] = 162 },
["render"] = "\\frac{-6522}{972}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{115}{162}",
["x"] = -6,
["y"] = 115,
["z"] = 162 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-17}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{-17}{9})^2 \\cdot 3\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{-17}{9})^2 \\cdot 3\\frac{1}{6} - 1\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{-17}{9})^2 \\cdot 3\\frac{1}{6} - 1\\frac{5}{12} + (-11)",
["typ"] = "plus" },
["render"] = "((\\frac{-17}{9})^2 \\cdot 3\\frac{1}{6} - 1\\frac{5}{12} + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "((\\frac{-17}{9})^2 \\cdot 3\\frac{1}{6} - 1\\frac{5}{12} + (-11)) \\cdot 6",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.85, bodu=106, $$\frac{7 \cdot -7}{-9} - (-17 - (-7 + 2\frac{4}{11}))=\textcolor{white}{17\frac{80}{99}}$$return {
["body"] = 106,
["id"] = "C91UyB_1115_2126",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 17.808080808081,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1763,
["jmenovatel"] = 99 },
["render"] = "\\frac{1763}{99}",
["typ"] = "cislo" },
["tex"] = "17\\frac{80}{99}",
["x"] = 17,
["y"] = 80,
["z"] = 99 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "7 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot -7}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-7 + 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(-7 + 2\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "-17 - (-7 + 2\\frac{4}{11})",
["typ"] = "minus" },
["render"] = "(-17 - (-7 + 2\\frac{4}{11}))",
["typ"] = "zavorka" },
["render"] = "\\frac{7 \\cdot -7}{-9} - (-17 - (-7 + 2\\frac{4}{11}))",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.86, bodu=168, $$-9 \cdot (-17 - 15 - 3\frac{3}{11} + \frac{4\frac{2}{7}}{3\frac{2}{7}})=\textcolor{white}{305\frac{181}{253}}$$return {
["body"] = 168,
["id"] = "5p9Y0K_1115_2126",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 305.71541501976,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77346,
["jmenovatel"] = 253 },
["render"] = "\\frac{77346}{253}",
["typ"] = "cislo" },
["tex"] = "305\\frac{181}{253}",
["x"] = 305,
["y"] = 181,
["z"] = 253 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-17 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-17 - 15 - 3\\frac{3}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-17 - 15 - 3\\frac{3}{11} + \\frac{4\\frac{2}{7}}{3\\frac{2}{7}}",
["typ"] = "plus" },
["render"] = "(-17 - 15 - 3\\frac{3}{11} + \\frac{4\\frac{2}{7}}{3\\frac{2}{7}})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-17 - 15 - 3\\frac{3}{11} + \\frac{4\\frac{2}{7}}{3\\frac{2}{7}})",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.87, bodu=170, $$-15 + 4\frac{2}{5} \cdot (4\frac{2}{10} - 20) \cdot -4 \cdot 4\frac{2}{9}=\textcolor{white}{1159\frac{26}{225}}$$return {
["body"] = 170,
["id"] = "UjlHr9_1115_2126",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 1159.1155555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 260801,
["jmenovatel"] = 225 },
["render"] = "\\frac{260801}{225}",
["typ"] = "cislo" },
["tex"] = "1159\\frac{26}{225}",
["x"] = 1159,
["y"] = 26,
["z"] = 225 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} - 20",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{10} - 20)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{10} - 20) \\cdot -4 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{5} \\cdot (4\\frac{2}{10} - 20) \\cdot -4 \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "-15 + 4\\frac{2}{5} \\cdot (4\\frac{2}{10} - 20) \\cdot -4 \\cdot 4\\frac{2}{9}",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.88, bodu=264, $$\frac{(3\frac{1}{9} + (-9) + 4\frac{3}{7}) \cdot -8}{(4\frac{1}{5} \cdot 2\frac{2}{9})^2 - 12}=\textcolor{white}{\frac{184}{1183}}$$return {
["body"] = 264,
["id"] = "apzrcx_1115_2126",
["obtiznost"] = 1.9972,
["reseni"] = {
["float"] = 0.15553677092139,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184,
["jmenovatel"] = 1183 },
["render"] = "\\frac{6624}{42588}",
["typ"] = "cislo" },
["tex"] = "\\frac{184}{1183}",
["y"] = 184,
["z"] = 1183 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + (-9) + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{9} + (-9) + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{9} + (-9) + 4\\frac{3}{7}) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{5} \\cdot 2\\frac{2}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{5} \\cdot 2\\frac{2}{9})^2 - 12",
["typ"] = "minus" },
["render"] = "\\frac{(3\\frac{1}{9} + (-9) + 4\\frac{3}{7}) \\cdot -8}{(4\\frac{1}{5} \\cdot 2\\frac{2}{9})^2 - 12}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.89, bodu=243, $$3\frac{3}{5} - (\frac{4\frac{5}{12}}{4\frac{2}{9}} + (4\frac{1}{7} - (-22)) \cdot 3\frac{3}{12})=\textcolor{white}{-82\frac{2183}{5320}}$$return {
["body"] = 243,
["id"] = "sPgD0Q_1115_2126",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = -82.410338345865,
["objekt"] = {
["hodnota"] = {
["citatel"] = -438423,
["jmenovatel"] = 5320 },
["render"] = "\\frac{-438423}{5320}",
["typ"] = "cislo" },
["tex"] = "-82\\frac{2183}{5320}",
["x"] = -82,
["y"] = 2183,
["z"] = 5320 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{4\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - (-22)",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{7} - (-22))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{7} - (-22)) \\cdot 3\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{12}}{4\\frac{2}{9}} + (4\\frac{1}{7} - (-22)) \\cdot 3\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{5}{12}}{4\\frac{2}{9}} + (4\\frac{1}{7} - (-22)) \\cdot 3\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{5} - (\\frac{4\\frac{5}{12}}{4\\frac{2}{9}} + (4\\frac{1}{7} - (-22)) \\cdot 3\\frac{3}{12})",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.9, bodu=209, $$\frac{-9 + 3\frac{1}{9}}{4\frac{1}{11}} \cdot (1\frac{5}{11} - 19) - 4\frac{1}{2}=\textcolor{white}{20\frac{613}{810}}$$return {
["body"] = 209,
["id"] = "aUvUTZ_1115_2126",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 20.756790123457,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16813,
["jmenovatel"] = 810 },
["render"] = "\\frac{16813}{810}",
["typ"] = "cislo" },
["tex"] = "20\\frac{613}{810}",
["x"] = 20,
["y"] = 613,
["z"] = 810 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-9 + 3\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 3\\frac{1}{9}}{4\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 19",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{11} - 19)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9 + 3\\frac{1}{9}}{4\\frac{1}{11}} \\cdot (1\\frac{5}{11} - 19)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 3\\frac{1}{9}}{4\\frac{1}{11}} \\cdot (1\\frac{5}{11} - 19) - 4\\frac{1}{2}",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.91, bodu=167, $$\frac{12 - 19}{\frac{(\frac{12}{3\frac{2}{6}})^2}{3\frac{3}{10}}} \cdot -15=\textcolor{white}{26\frac{53}{72}}$$return {
["body"] = 167,
["id"] = "gOJUZS_1115_2126",
["obtiznost"] = 1.4496,
["reseni"] = {
["float"] = 26.736111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1925,
["jmenovatel"] = 72 },
["render"] = "\\frac{5775}{216}",
["typ"] = "cislo" },
["tex"] = "26\\frac{53}{72}",
["x"] = 26,
["y"] = 53,
["z"] = 72 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "12 - 19",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{3\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{12}{3\\frac{2}{6}})^2}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 - 19}{\\frac{(\\frac{12}{3\\frac{2}{6}})^2}{3\\frac{3}{10}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{12 - 19}{\\frac{(\\frac{12}{3\\frac{2}{6}})^2}{3\\frac{3}{10}}} \\cdot -15",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.92, bodu=89, $$\frac{-13 - \frac{8}{14}}{23 - (-18) + 13}=\textcolor{white}{-\frac{95}{378}}$$return {
["body"] = 89,
["id"] = "lYveKR_1115_2126",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -0.25132275132275,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 378 },
["render"] = "\\frac{-95}{378}",
["typ"] = "cislo" },
["tex"] = "-\\frac{95}{378}",
["y"] = -95,
["z"] = 378 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{8}{14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "23 - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "23 - (-18) + 13",
["typ"] = "plus" },
["render"] = "\\frac{-13 - \\frac{8}{14}}{23 - (-18) + 13}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.93, bodu=180, $$\frac{-10 \cdot 1\frac{5}{15}}{3\frac{2}{12}} \cdot (11 - 1\frac{5}{8} - 17)=\textcolor{white}{32\frac{2}{19}}$$return {
["body"] = 180,
["id"] = "c8CEZ8_1115_2126",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 32.105263157895,
["objekt"] = {
["hodnota"] = {
["citatel"] = 610,
["jmenovatel"] = 19 },
["render"] = "\\frac{4880}{152}",
["typ"] = "cislo" },
["tex"] = "32\\frac{2}{19}",
["x"] = 32,
["y"] = 2,
["z"] = 19 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{5}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot 1\\frac{5}{15}}{3\\frac{2}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{5}{8} - 17",
["typ"] = "minus" },
["render"] = "(11 - 1\\frac{5}{8} - 17)",
["typ"] = "zavorka" },
["render"] = "\\frac{-10 \\cdot 1\\frac{5}{15}}{3\\frac{2}{12}} \\cdot (11 - 1\\frac{5}{8} - 17)",
["typ"] = "krat" } }
seed: M4fM5urazJIPEvCq6Uxa_0.94, bodu=216, $$3\frac{3}{13} - 9 - 1\frac{2}{7} + 3\frac{5}{8} \cdot 11 + 22 + 4\frac{1}{10}=\textcolor{white}{58\frac{3349}{3640}}$$return {
["body"] = 216,
["id"] = "NCCxM3_1115_2126",
["obtiznost"] = 1.74,
["reseni"] = {
["float"] = 58.920054945055,
["objekt"] = {
["hodnota"] = {
["citatel"] = 214469,
["jmenovatel"] = 3640 },
["render"] = "\\frac{214469}{3640}",
["typ"] = "cislo" },
["tex"] = "58\\frac{3349}{3640}",
["x"] = 58,
["y"] = 3349,
["z"] = 3640 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{13} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{13} - 9 - 1\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "22 + 4\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "3\\frac{5}{8} \\cdot 11 + 22 + 4\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "3\\frac{3}{13} - 9 - 1\\frac{2}{7} + 3\\frac{5}{8} \\cdot 11 + 22 + 4\\frac{1}{10}",
["typ"] = "plus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.95, bodu=183, $$-13 \cdot 13 - (3\frac{2}{4} + 13 - (-25 \cdot 2\frac{3}{12} + 2\frac{3}{9}))=\textcolor{white}{-239\frac{5}{12}}$$return {
["body"] = 183,
["id"] = "bN93cN_1115_2126",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -239.41666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2873,
["jmenovatel"] = 12 },
["render"] = "\\frac{-2873}{12}",
["typ"] = "cislo" },
["tex"] = "-239\\frac{5}{12}",
["x"] = -239,
["y"] = 5,
["z"] = 12 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "-25",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-25 \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-25 \\cdot 2\\frac{3}{12} + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(-25 \\cdot 2\\frac{3}{12} + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{4} + 13 - (-25 \\cdot 2\\frac{3}{12} + 2\\frac{3}{9})",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{4} + 13 - (-25 \\cdot 2\\frac{3}{12} + 2\\frac{3}{9}))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot 13 - (3\\frac{2}{4} + 13 - (-25 \\cdot 2\\frac{3}{12} + 2\\frac{3}{9}))",
["typ"] = "minus" } }
seed: M4fM5urazJIPEvCq6Uxa_0.96, bodu=220, $$\frac{-19 + 1\frac{1}{2}}{4\frac{3}{8} + \frac{4\frac{5}{14}}{\frac{17}{2\frac{1}{9}}}}=\textcolor{white}{-3\frac{23577}{42121}}$$return {
["body"] = 220,
["id"] = "vwHj1K_1115_2126",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -3.5597445454761,
["objekt"] = {
["hodnota"] = {
["citatel"] = -149940,
["jmenovatel"] = 42121 },
["render"] = "\\frac{-299880}{84242}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{23577}{42121}",
["x"] = -3,
["y"] = 23577,
["z"] = 42121 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-19 + 1\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{2\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{14}}{\\frac{17}{2\\frac{1}{9}}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{8} + \\frac{4\\frac{5}{14}}{\\frac{17}{2\\frac{1}{9}}}",
["typ"] = "plus" },
["render"] = "\\frac{-19 + 1\\frac{1}{2}}{4\\frac{3}{8} + \\frac{4\\frac{5}{14}}{\\frac{17}{2\\frac{1}{9}}}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.97, bodu=259, $$\frac{(3\frac{3}{5} - 8)^2 + 3\frac{1}{4} + 2\frac{1}{5} \cdot 11}{\frac{-14}{4\frac{3}{8}}}=\textcolor{white}{-14\frac{201}{320}}$$return {
["body"] = 259,
["id"] = "WbfNjw_1115_2126",
["obtiznost"] = 1.9736,
["reseni"] = {
["float"] = -14.628125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4681,
["jmenovatel"] = 320 },
["render"] = "\\frac{23405}{-1600}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{201}{320}",
["x"] = -14,
["y"] = 201,
["z"] = 320 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{5} - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 11",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} + 2\\frac{1}{5} \\cdot 11",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{5} - 8)^2 + 3\\frac{1}{4} + 2\\frac{1}{5} \\cdot 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3\\frac{3}{5} - 8)^2 + 3\\frac{1}{4} + 2\\frac{1}{5} \\cdot 11}{\\frac{-14}{4\\frac{3}{8}}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.98, bodu=260, $$\frac{16 - (19 + 2\frac{2}{13} + 1\frac{3}{11} + 3\frac{5}{11})}{\frac{1\frac{4}{9}}{3\frac{3}{6} + (-18)}}=\textcolor{white}{99\frac{711}{3718}}$$return {
["body"] = 260,
["id"] = "1oB7Je_1115_2126",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 99.191231845078,
["objekt"] = {
["hodnota"] = {
["citatel"] = 368793,
["jmenovatel"] = 3718 },
["render"] = "\\frac{-368793}{-3718}",
["typ"] = "cislo" },
["tex"] = "99\\frac{711}{3718}",
["x"] = 99,
["y"] = 711,
["z"] = 3718 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 13 },
["render"] = "2\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{13} + 1\\frac{3}{11} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "19 + 2\\frac{2}{13} + 1\\frac{3}{11} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(19 + 2\\frac{2}{13} + 1\\frac{3}{11} + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "16 - (19 + 2\\frac{2}{13} + 1\\frac{3}{11} + 3\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + (-18)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{9}}{3\\frac{3}{6} + (-18)}",
["typ"] = "lomeno" },
["render"] = "\\frac{16 - (19 + 2\\frac{2}{13} + 1\\frac{3}{11} + 3\\frac{5}{11})}{\\frac{1\\frac{4}{9}}{3\\frac{3}{6} + (-18)}}",
["typ"] = "lomeno" } }
seed: M4fM5urazJIPEvCq6Uxa_0.99, bodu=144, $$\frac{18}{-15 - (-24) + (-20 \cdot 9)} + (12 + 16)^2=\textcolor{white}{783\frac{17}{19}}$$return {
["body"] = 144,
["id"] = "bJjK3y_1115_2126",
["obtiznost"] = 1.304,
["reseni"] = {
["float"] = 783.89473684211,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14894,
["jmenovatel"] = 19 },
["render"] = "\\frac{14894}{19}",
["typ"] = "cislo" },
["tex"] = "783\\frac{17}{19}",
["x"] = 783,
["y"] = 17,
["z"] = 19 },
["seed"] = "M4fM5urazJIPEvCq6Uxa_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
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["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "-15 - (-24)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-20 \\cdot 9",
["typ"] = "krat" },
["render"] = "-15 - (-24) + (-20 \\cdot 9)",
["typ"] = "plus" },
["render"] = "\\frac{18}{-15 - (-24) + (-20 \\cdot 9)}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "12 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 16)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{18}{-15 - (-24) + (-20 \\cdot 9)} + (12 + 16)^2",
["typ"] = "plus" } }
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