- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: GMoTjqyvBdtaQViX8wJv_0, bodu=10, $$\frac{8 + 5}{4 + 6 - 4}=\textcolor{white}{2\frac{1}{6}}$$return {
["body"] = 10,
["id"] = "kT9ajD_0419_2039",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 2.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "\\frac{13}{6}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{6}",
["x"] = 2,
["y"] = 1,
["z"] = 6 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "4 + 6 - 4",
["typ"] = "plus" },
["render"] = "\\frac{8 + 5}{4 + 6 - 4}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.01, bodu=10, $$\frac{9 - 2}{9} - 5=\textcolor{white}{-4\frac{2}{9}}$$return {
["body"] = 10,
["id"] = "UdGxt7_0419_2039",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = -4.2222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 9 },
["render"] = "\\frac{-38}{9}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{9}",
["x"] = -4,
["y"] = 2,
["z"] = 9 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "9 - 2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 2}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 2}{9} - 5",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.02, bodu=10, $$7 - \frac{8}{7 - 6}=\textcolor{white}{-1}$$return {
["body"] = 10,
["id"] = "4htBFh_0419_2039",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["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"] = "\\frac{8}{7 - 6}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{8}{7 - 6}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.03, bodu=11, $$(7 \cdot \frac{6}{6})^2=\textcolor{white}{49}$$return {
["body"] = 11,
["id"] = "3oExRP_0419_2039",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 1 },
["render"] = "\\frac{49}{1}",
["typ"] = "cislo" },
["tex"] = "49",
["x"] = 49 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.03",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{6}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot \\frac{6}{6})^2",
["typ"] = "mocnina" } }
seed: GMoTjqyvBdtaQViX8wJv_0.04, bodu=10, $$-8 + 5 + \frac{-3}{8}=\textcolor{white}{-3{,}375}$$return {
["body"] = 10,
["id"] = "2Zodgm_0419_2039",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -3.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 8 },
["render"] = "\\frac{-27}{8}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{8}",
["tex_float"] = "-3{,}375",
["x"] = -3,
["y"] = 3,
["z"] = 8 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{8}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{-3}{8}",
["typ"] = "plus" },
["render"] = "-8 + 5 + \\frac{-3}{8}",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.05, bodu=14, $$\frac{7 - (2 \cdot -7)^2}{10}=\textcolor{white}{-18{,}9}$$return {
["body"] = 14,
["id"] = "32JCJI_0419_2039",
["obtiznost"] = 0.1288,
["reseni"] = {
["float"] = -18.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 10 },
["render"] = "\\frac{-189}{10}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{9}{10}",
["tex_float"] = "-18{,}9",
["x"] = -18,
["y"] = 9,
["z"] = 10 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2 \\cdot -7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2 \\cdot -7)^2",
["typ"] = "mocnina" },
["render"] = "7 - (2 \\cdot -7)^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7 - (2 \\cdot -7)^2}{10}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.06, bodu=11, $$\frac{4 \cdot 8}{7}=\textcolor{white}{4\frac{4}{7}}$$return {
["body"] = 11,
["id"] = "xTO5J3_0419_2039",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 4.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "\\frac{32}{7}",
["typ"] = "cislo" },
["tex"] = "4\\frac{4}{7}",
["x"] = 4,
["y"] = 4,
["z"] = 7 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 8}{7}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.07, bodu=11, $$\frac{5 \cdot 8}{4}=\textcolor{white}{10}$$return {
["body"] = 11,
["id"] = "bZ4Dsj_0419_2039",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{40}{4}",
["typ"] = "cislo" },
["tex"] = "10",
["tex_float"] = "10",
["x"] = 10 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{5 \\cdot 8}{4}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.08, bodu=12, $$(\frac{6}{(9 + (-10))^4 + (-6 - (-8))})^3=\textcolor{white}{8}$$return {
["body"] = 12,
["id"] = "agvigg_0419_2039",
["obtiznost"] = 0.0844,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.08",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(9 + (-10))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-6 - (-8)",
["typ"] = "minus" },
["render"] = "(9 + (-10))^4 + (-6 - (-8))",
["typ"] = "plus" },
["render"] = "\\frac{6}{(9 + (-10))^4 + (-6 - (-8))}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{(9 + (-10))^4 + (-6 - (-8))})^3",
["typ"] = "mocnina" } }
seed: GMoTjqyvBdtaQViX8wJv_0.09, bodu=6, $$2 \cdot 6 \cdot 8=\textcolor{white}{96}$$return {
["body"] = 6,
["id"] = "W70X8X_0419_2039",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["x"] = 96 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2 \\cdot 6 \\cdot 8",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.1, bodu=30, $$6 - 2\frac{2}{6} - (\frac{-10}{8})^3=\textcolor{white}{5\frac{119}{192}}$$return {
["body"] = 30,
["id"] = "NIPf83_0419_2039",
["obtiznost"] = 0.3756,
["reseni"] = {
["float"] = 5.6197916666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1079,
["jmenovatel"] = 192 },
["render"] = "\\frac{1079}{192}",
["typ"] = "cislo" },
["tex"] = "5\\frac{119}{192}",
["x"] = 5,
["y"] = 119,
["z"] = 192 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "6 - 2\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{8})^3",
["typ"] = "mocnina" },
["render"] = "6 - 2\\frac{2}{6} - (\\frac{-10}{8})^3",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.11, bodu=13, $$7 - \frac{-7}{10} + 7=\textcolor{white}{14{,}7}$$return {
["body"] = 13,
["id"] = "KPpwxa_0419_2039",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 14.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 147,
["jmenovatel"] = 10 },
["render"] = "\\frac{147}{10}",
["typ"] = "cislo" },
["tex"] = "14\\frac{7}{10}",
["tex_float"] = "14{,}7",
["x"] = 14,
["y"] = 7,
["z"] = 10 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{10}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{-7}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - \\frac{-7}{10} + 7",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.12, bodu=6, $$9 \cdot 8 \cdot 8=\textcolor{white}{576}$$return {
["body"] = 6,
["id"] = "nqfDLx_0419_2039",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 1 },
["render"] = "\\frac{576}{1}",
["typ"] = "cislo" },
["tex"] = "576",
["x"] = 576 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "9 \\cdot 8 \\cdot 8",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.13, bodu=29, $$(2\frac{3}{4} + 4) \cdot (6 - (-4) + (-7))^4=\textcolor{white}{546{,}75}$$return {
["body"] = 29,
["id"] = "2QIfr8_0419_2039",
["obtiznost"] = 0.3628,
["reseni"] = {
["float"] = 546.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2187,
["jmenovatel"] = 4 },
["render"] = "\\frac{2187}{4}",
["typ"] = "cislo" },
["tex"] = "546\\frac{3}{4}",
["tex_float"] = "546{,}75",
["x"] = 546,
["y"] = 3,
["z"] = 4 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} + 4",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{4} + 4)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "6 - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 - (-4) + (-7)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(6 - (-4) + (-7))^4",
["typ"] = "mocnina" },
["render"] = "(2\\frac{3}{4} + 4) \\cdot (6 - (-4) + (-7))^4",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.14, bodu=27, $$\frac{1\frac{4}{10}}{9 \cdot 7}=\textcolor{white}{\frac{1}{45}}$$return {
["body"] = 27,
["id"] = "6kWvhd_0419_2039",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.022222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 45 },
["render"] = "\\frac{7}{315}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{45}",
["y"] = 1,
["z"] = 45 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{10}}{9 \\cdot 7}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.15, bodu=7, $$((11 - 7)^2 + 8) \cdot -9=\textcolor{white}{-216}$$return {
["body"] = 7,
["id"] = "6Wpzzl_0419_2039",
["obtiznost"] = 0.1568,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 1 },
["render"] = "\\frac{-216}{1}",
["typ"] = "cislo" },
["tex"] = "-216",
["x"] = -216 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 - 7",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(11 - 7)^2 + 8",
["typ"] = "plus" },
["render"] = "((11 - 7)^2 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "((11 - 7)^2 + 8) \\cdot -9",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.16, bodu=10, $$9 - ((3 + (-9))^3 - 6)=\textcolor{white}{231}$$return {
["body"] = 10,
["id"] = "N8vVz3_0419_2039",
["obtiznost"] = 0.2468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 1 },
["render"] = "\\frac{231}{1}",
["typ"] = "cislo" },
["tex"] = "231",
["x"] = 231 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(3 + (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(3 + (-9))^3 - 6",
["typ"] = "minus" },
["render"] = "((3 + (-9))^3 - 6)",
["typ"] = "zavorka" },
["render"] = "9 - ((3 + (-9))^3 - 6)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.17, bodu=8, $$8 - (-11) + 5 \cdot -8=\textcolor{white}{-21}$$return {
["body"] = 8,
["id"] = "hCfzLs_0419_2039",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "\\frac{-21}{1}",
["typ"] = "cislo" },
["tex"] = "-21",
["tex_float"] = "-21",
["x"] = -21 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "5 \\cdot -8",
["typ"] = "krat" },
["render"] = "8 - (-11) + 5 \\cdot -8",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.18, bodu=23, $$(\frac{8 + 5}{10})^2 - 5=\textcolor{white}{-3{,}31}$$return {
["body"] = 23,
["id"] = "7cRnZ9_0419_2039",
["obtiznost"] = 0.2876,
["reseni"] = {
["float"] = -3.31,
["objekt"] = {
["hodnota"] = {
["citatel"] = -331,
["jmenovatel"] = 100 },
["render"] = "\\frac{-331}{100}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{31}{100}",
["tex_float"] = "-3{,}31",
["x"] = -3,
["y"] = 31,
["z"] = 100 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.18",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 5}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 + 5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{8 + 5}{10})^2 - 5",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.19, bodu=17, $$9 - 11 - \frac{10}{12}=\textcolor{white}{-2\frac{5}{6}}$$return {
["body"] = 17,
["id"] = "5pEryZ_0419_2039",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -2.8333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 6 },
["render"] = "\\frac{-17}{6}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{5}{6}",
["x"] = -2,
["y"] = 5,
["z"] = 6 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.19",
["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"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12}",
["typ"] = "lomeno" },
["render"] = "9 - 11 - \\frac{10}{12}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.2, bodu=9, $$11 \cdot -7 \cdot (-5 + 7)^4=\textcolor{white}{-1232}$$return {
["body"] = 9,
["id"] = "RvL369_0419_2039",
["obtiznost"] = 0.2068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1232,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1232}{1}",
["typ"] = "cislo" },
["tex"] = "-1232",
["tex_float"] = "-1232",
["x"] = -1232 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["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"] = 4,
["render"] = "(-5 + 7)^4",
["typ"] = "mocnina" },
["render"] = "11 \\cdot -7 \\cdot (-5 + 7)^4",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.21, bodu=9, $$(10 + 11) \cdot 5 - (9 - 8)=\textcolor{white}{104}$$return {
["body"] = 9,
["id"] = "CDAJ0K_0419_2039",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 104,
["jmenovatel"] = 1 },
["render"] = "\\frac{104}{1}",
["typ"] = "cislo" },
["tex"] = "104",
["x"] = 104 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "(10 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(10 + 11) \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["render"] = "(9 - 8)",
["typ"] = "zavorka" },
["render"] = "(10 + 11) \\cdot 5 - (9 - 8)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.22, bodu=19, $$\frac{\frac{7}{-12} - (-11)}{10}=\textcolor{white}{1\frac{1}{24}}$$return {
["body"] = 19,
["id"] = "r1z8EC_0419_2039",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 1.0416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 24 },
["render"] = "\\frac{125}{120}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{24}",
["x"] = 1,
["y"] = 1,
["z"] = 24 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{-12} - (-11)}{10}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.23, bodu=9, $$7 - (12 \cdot 12 - 9)=\textcolor{white}{-128}$$return {
["body"] = 9,
["id"] = "z1eUeM_0419_2039",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -128,
["jmenovatel"] = 1 },
["render"] = "\\frac{-128}{1}",
["typ"] = "cislo" },
["tex"] = "-128",
["x"] = -128 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12 - 9",
["typ"] = "minus" },
["render"] = "(12 \\cdot 12 - 9)",
["typ"] = "zavorka" },
["render"] = "7 - (12 \\cdot 12 - 9)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.24, bodu=10, $$(-14 + 10 + (-14)) \cdot 11 - 13=\textcolor{white}{-211}$$return {
["body"] = 10,
["id"] = "IHruGj_0419_2039",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -211,
["jmenovatel"] = 1 },
["render"] = "\\frac{-211}{1}",
["typ"] = "cislo" },
["tex"] = "-211",
["tex_float"] = "-211",
["x"] = -211 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 + (-14)",
["typ"] = "plus" },
["render"] = "-14 + 10 + (-14)",
["typ"] = "plus" },
["render"] = "(-14 + 10 + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-14 + 10 + (-14)) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-14 + 10 + (-14)) \\cdot 11 - 13",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.25, bodu=37, $$\frac{-7}{9} \cdot 5 \cdot 3\frac{3}{8}=\textcolor{white}{-13{,}125}$$return {
["body"] = 37,
["id"] = "YZH2Zk_0419_2039",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -13.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 8 },
["render"] = "\\frac{-945}{72}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{1}{8}",
["tex_float"] = "-13{,}125",
["x"] = -13,
["y"] = 1,
["z"] = 8 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9} \\cdot 5 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.26, bodu=34, $$\frac{(\frac{7}{4})^3}{11} \cdot 5=\textcolor{white}{2\frac{307}{704}}$$return {
["body"] = 34,
["id"] = "pyJrvt_0419_2039",
["obtiznost"] = 0.4228,
["reseni"] = {
["float"] = 2.4360795454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1715,
["jmenovatel"] = 704 },
["render"] = "\\frac{1715}{704}",
["typ"] = "cislo" },
["tex"] = "2\\frac{307}{704}",
["x"] = 2,
["y"] = 307,
["z"] = 704 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{4})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{4})^3}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{4})^3}{11} \\cdot 5",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.27, bodu=59, $$\frac{-9}{\frac{12}{2\frac{3}{5}} + 1\frac{4}{6}}=\textcolor{white}{-1\frac{106}{245}}$$return {
["body"] = 59,
["id"] = "SD1xMu_0419_2039",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -1.4326530612245,
["objekt"] = {
["hodnota"] = {
["citatel"] = -351,
["jmenovatel"] = 245 },
["render"] = "\\frac{-351}{245}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{106}{245}",
["x"] = -1,
["y"] = 106,
["z"] = 245 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{3}{5}} + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{\\frac{12}{2\\frac{3}{5}} + 1\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.28, bodu=26, $$(9 - (-10) + (-9))^2 \cdot \frac{6}{11}=\textcolor{white}{54\frac{6}{11}}$$return {
["body"] = 26,
["id"] = "SWP0bd_0419_2039",
["obtiznost"] = 0.3204,
["reseni"] = {
["float"] = 54.545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 600,
["jmenovatel"] = 11 },
["render"] = "\\frac{600}{11}",
["typ"] = "cislo" },
["tex"] = "54\\frac{6}{11}",
["x"] = 54,
["y"] = 6,
["z"] = 11 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 - (-10) + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 - (-10) + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{6}{11}",
["typ"] = "lomeno" },
["render"] = "(9 - (-10) + (-9))^2 \\cdot \\frac{6}{11}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.29, bodu=24, $$\frac{5}{(8 + (-7)) \cdot -9}=\textcolor{white}{-\frac{5}{9}}$$return {
["body"] = 24,
["id"] = "BGSvEY_0419_2039",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -0.55555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 9 },
["render"] = "\\frac{5}{-9}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{9}",
["y"] = -5,
["z"] = 9 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.29",
["zadani"] = {
["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"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 + (-7)",
["typ"] = "plus" },
["render"] = "(8 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(8 + (-7)) \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{5}{(8 + (-7)) \\cdot -9}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.3, bodu=28, $$\frac{6}{-8} \cdot (6 + (9 - 10)^3)^3=\textcolor{white}{-93{,}75}$$return {
["body"] = 28,
["id"] = "RmO7SE_0419_2039",
["obtiznost"] = 0.3512,
["reseni"] = {
["float"] = -93.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -375,
["jmenovatel"] = 4 },
["render"] = "\\frac{-375}{4}",
["typ"] = "cislo" },
["tex"] = "-93\\frac{3}{4}",
["tex_float"] = "-93{,}75",
["x"] = -93,
["y"] = 3,
["z"] = 4 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 10)^3",
["typ"] = "mocnina" },
["render"] = "6 + (9 - 10)^3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + (9 - 10)^3)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{-8} \\cdot (6 + (9 - 10)^3)^3",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.31, bodu=12, $$8 + (6 - (-8)) \cdot 11 + 9=\textcolor{white}{171}$$return {
["body"] = 12,
["id"] = "2BbxsD_0419_2039",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 171,
["jmenovatel"] = 1 },
["render"] = "\\frac{171}{1}",
["typ"] = "cislo" },
["tex"] = "171",
["tex_float"] = "171",
["x"] = 171 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 - (-8)",
["typ"] = "minus" },
["render"] = "(6 - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(6 - (-8)) \\cdot 11",
["typ"] = "krat" },
["render"] = "8 + (6 - (-8)) \\cdot 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + (6 - (-8)) \\cdot 11 + 9",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.32, bodu=43, $$\frac{8 - 3\frac{2}{6} + \frac{12}{-4}}{10}=\textcolor{white}{\frac{1}{6}}$$return {
["body"] = 43,
["id"] = "Cxt8Uo_0419_2039",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 6 },
["render"] = "\\frac{5}{30}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{6}",
["y"] = 1,
["z"] = 6 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-4}",
["typ"] = "lomeno" },
["render"] = "8 - 3\\frac{2}{6} + \\frac{12}{-4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 - 3\\frac{2}{6} + \\frac{12}{-4}}{10}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.33, bodu=13, $$-10 \cdot 13 \cdot 9 \cdot 12=\textcolor{white}{-14040}$$return {
["body"] = 13,
["id"] = "9d0ebR_0419_2039",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -14040,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14040}{1}",
["typ"] = "cislo" },
["tex"] = "-14040",
["tex_float"] = "-14040",
["x"] = -14040 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13 \\cdot 9 \\cdot 12",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.34, bodu=13, $$10 \cdot 5 + (-7 \cdot -6)=\textcolor{white}{92}$$return {
["body"] = 13,
["id"] = "VQMSJX_0419_2039",
["obtiznost"] = 0.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 1 },
["render"] = "\\frac{92}{1}",
["typ"] = "cislo" },
["tex"] = "92",
["x"] = 92 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -6",
["typ"] = "krat" },
["render"] = "10 \\cdot 5 + (-7 \\cdot -6)",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.35, bodu=68, $$4\frac{3}{7} \cdot (10 - 6 - 2\frac{4}{11})=\textcolor{white}{7\frac{19}{77}}$$return {
["body"] = 68,
["id"] = "ZimQQr_0419_2039",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 7.2467532467532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 558,
["jmenovatel"] = 77 },
["render"] = "\\frac{558}{77}",
["typ"] = "cislo" },
["tex"] = "7\\frac{19}{77}",
["x"] = 7,
["y"] = 19,
["z"] = 77 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "10 - 6 - 2\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(10 - 6 - 2\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} \\cdot (10 - 6 - 2\\frac{4}{11})",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.36, bodu=14, $$-9 \cdot 7 \cdot 4 \cdot -6=\textcolor{white}{1512}$$return {
["body"] = 14,
["id"] = "uPK7AP_0419_2039",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1512,
["jmenovatel"] = 1 },
["render"] = "\\frac{1512}{1}",
["typ"] = "cislo" },
["tex"] = "1512",
["tex_float"] = "1512",
["x"] = 1512 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4 \\cdot -6",
["typ"] = "krat" },
["render"] = "-9 \\cdot 7 \\cdot 4 \\cdot -6",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.37, bodu=36, $$\frac{(\frac{5}{-3 - 9})^2}{-11 + 15}=\textcolor{white}{\frac{25}{576}}$$return {
["body"] = 36,
["id"] = "jFpDOO_0419_2039",
["obtiznost"] = 0.4376,
["reseni"] = {
["float"] = 0.043402777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 576 },
["render"] = "\\frac{25}{576}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{576}",
["y"] = 25,
["z"] = 576 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-3 - 9",
["typ"] = "minus" },
["render"] = "\\frac{5}{-3 - 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{-3 - 9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 + 15",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{5}{-3 - 9})^2}{-11 + 15}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.38, bodu=49, $$\frac{3\frac{3}{5} \cdot 8}{5} + (-9)=\textcolor{white}{-3{,}24}$$return {
["body"] = 49,
["id"] = "sMGJip_0419_2039",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -3.24,
["objekt"] = {
["hodnota"] = {
["citatel"] = -81,
["jmenovatel"] = 25 },
["render"] = "\\frac{-81}{25}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{6}{25}",
["tex_float"] = "-3{,}24",
["x"] = -3,
["y"] = 6,
["z"] = 25 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["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} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5} \\cdot 8}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5} \\cdot 8}{5} + (-9)",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.39, bodu=31, $$10 \cdot -3 \cdot \frac{6}{7}=\textcolor{white}{-25\frac{5}{7}}$$return {
["body"] = 31,
["id"] = "XgXen4_0419_2039",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -25.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 7 },
["render"] = "\\frac{-180}{7}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{5}{7}",
["x"] = -25,
["y"] = 5,
["z"] = 7 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "10 \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "10 \\cdot -3 \\cdot \\frac{6}{7}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.4, bodu=16, $$10 + 8 \cdot (13 - 11)^3 + 2 + (-5)=\textcolor{white}{71}$$return {
["body"] = 16,
["id"] = "pxWp3i_0419_2039",
["obtiznost"] = 0.4036,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 71,
["jmenovatel"] = 1 },
["render"] = "\\frac{71}{1}",
["typ"] = "cislo" },
["tex"] = "71",
["tex_float"] = "71",
["x"] = 71 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 11)^3",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (13 - 11)^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "8 \\cdot (13 - 11)^3 + 2",
["typ"] = "plus" },
["render"] = "10 + 8 \\cdot (13 - 11)^3 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 + 8 \\cdot (13 - 11)^3 + 2 + (-5)",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.41, bodu=52, $$-9 \cdot -15 - (4\frac{5}{9} - \frac{12}{17})=\textcolor{white}{131\frac{23}{153}}$$return {
["body"] = 52,
["id"] = "QWOJxy_0419_2039",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 131.15032679739,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20066,
["jmenovatel"] = 153 },
["render"] = "\\frac{20066}{153}",
["typ"] = "cislo" },
["tex"] = "131\\frac{23}{153}",
["x"] = 131,
["y"] = 23,
["z"] = 153 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{12}{17}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{9} - \\frac{12}{17}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{9} - \\frac{12}{17})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot -15 - (4\\frac{5}{9} - \\frac{12}{17})",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.42, bodu=34, $$\frac{12}{-5} - 5 - \frac{7}{7}=\textcolor{white}{-8{,}4}$$return {
["body"] = 34,
["id"] = "KbXe5S_0419_2039",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -8.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 5 },
["render"] = "\\frac{-42}{5}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{2}{5}",
["tex_float"] = "-8{,}4",
["x"] = -8,
["y"] = 2,
["z"] = 5 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-5} - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{-5} - 5 - \\frac{7}{7}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.43, bodu=35, $$\frac{\frac{-9}{15}}{-4} - 2 - 15=\textcolor{white}{-16{,}85}$$return {
["body"] = 35,
["id"] = "QsAheK_0419_2039",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -16.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = -337,
["jmenovatel"] = 20 },
["render"] = "\\frac{-337}{20}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{17}{20}",
["tex_float"] = "-16{,}85",
["x"] = -16,
["y"] = 17,
["z"] = 20 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{15}}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{15}}{-4} - 2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{15}}{-4} - 2 - 15",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.44, bodu=36, $$\frac{14 \cdot 13}{8} \cdot 10=\textcolor{white}{227{,}5}$$return {
["body"] = 36,
["id"] = "3LncXl_0419_2039",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 227.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 455,
["jmenovatel"] = 2 },
["render"] = "\\frac{910}{4}",
["typ"] = "cislo" },
["tex"] = "227\\frac{1}{2}",
["tex_float"] = "227{,}5",
["x"] = 227,
["y"] = 1,
["z"] = 2 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot 13}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot 13}{8} \\cdot 10",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.45, bodu=80, $$(3\frac{4}{8} - 14 + 4) \cdot (2\frac{5}{10} \cdot 15 + (-12))=\textcolor{white}{-165{,}75}$$return {
["body"] = 80,
["id"] = "4HaqtL_0419_2039",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -165.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -663,
["jmenovatel"] = 4 },
["render"] = "\\frac{-663}{4}",
["typ"] = "cislo" },
["tex"] = "-165\\frac{3}{4}",
["tex_float"] = "-165{,}75",
["x"] = -165,
["y"] = 3,
["z"] = 4 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 14 + 4",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} - 14 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 15 + (-12)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} \\cdot 15 + (-12))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{8} - 14 + 4) \\cdot (2\\frac{5}{10} \\cdot 15 + (-12))",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.46, bodu=81, $$10 + 7 - 2\frac{1}{3} \cdot 2\frac{4}{7} \cdot 16=\textcolor{white}{-79}$$return {
["body"] = 81,
["id"] = "EjywAN_0419_2039",
["obtiznost"] = 0.86,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -79,
["jmenovatel"] = 1 },
["render"] = "\\frac{-79}{1}",
["typ"] = "cislo" },
["tex"] = "-79",
["x"] = -79 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} \\cdot 16",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} \\cdot 2\\frac{4}{7} \\cdot 16",
["typ"] = "krat" },
["render"] = "10 + 7 - 2\\frac{1}{3} \\cdot 2\\frac{4}{7} \\cdot 16",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.47, bodu=38, $$(12 - \frac{13}{-5 \cdot 15}) \cdot 11=\textcolor{white}{133\frac{68}{75}}$$return {
["body"] = 38,
["id"] = "Dc71dQ_0419_2039",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 133.90666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10043,
["jmenovatel"] = 75 },
["render"] = "\\frac{10043}{75}",
["typ"] = "cislo" },
["tex"] = "133\\frac{68}{75}",
["x"] = 133,
["y"] = 68,
["z"] = 75 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{13}{-5 \\cdot 15}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{13}{-5 \\cdot 15}",
["typ"] = "minus" },
["render"] = "(12 - \\frac{13}{-5 \\cdot 15})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(12 - \\frac{13}{-5 \\cdot 15}) \\cdot 11",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.48, bodu=84, $$2\frac{3}{6} \cdot (15 - 16)^3 + \frac{3\frac{5}{9}}{8}=\textcolor{white}{-2\frac{1}{18}}$$return {
["body"] = 84,
["id"] = "H1R3dz_0419_2039",
["obtiznost"] = 0.8808,
["reseni"] = {
["float"] = -2.0555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 18 },
["render"] = "\\frac{-37}{18}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{18}",
["x"] = -2,
["y"] = 1,
["z"] = 18 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "15 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(15 - 16)^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{6} \\cdot (15 - 16)^3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{8}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{6} \\cdot (15 - 16)^3 + \\frac{3\\frac{5}{9}}{8}",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.49, bodu=61, $$\frac{15}{\frac{12}{2\frac{2}{4} \cdot -13}}=\textcolor{white}{-40{,}625}$$return {
["body"] = 61,
["id"] = "224mdF_0419_2039",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -40.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -325,
["jmenovatel"] = 8 },
["render"] = "\\frac{975}{-24}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{5}{8}",
["tex_float"] = "-40{,}625",
["x"] = -40,
["y"] = 5,
["z"] = 8 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{12}{2\\frac{2}{4} \\cdot -13}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{\\frac{12}{2\\frac{2}{4} \\cdot -13}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.5, bodu=62, $$4 + (-10 + \frac{10}{\frac{15}{3\frac{5}{7}}})=\textcolor{white}{-3\frac{11}{21}}$$return {
["body"] = 62,
["id"] = "2O41Bn_0419_2039",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -3.5238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -74,
["jmenovatel"] = 21 },
["render"] = "\\frac{-74}{21}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{11}{21}",
["x"] = -3,
["y"] = 11,
["z"] = 21 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{15}{3\\frac{5}{7}}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{10}{\\frac{15}{3\\frac{5}{7}}}",
["typ"] = "plus" },
["render"] = "4 + (-10 + \\frac{10}{\\frac{15}{3\\frac{5}{7}}})",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.51, bodu=21, $$-11 \cdot 5 \cdot -12 + 13 - (-6)=\textcolor{white}{679}$$return {
["body"] = 21,
["id"] = "dSpqp6_0419_2039",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 679,
["jmenovatel"] = 1 },
["render"] = "\\frac{679}{1}",
["typ"] = "cislo" },
["tex"] = "679",
["tex_float"] = "679",
["x"] = 679 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 5 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 5 \\cdot -12 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 5 \\cdot -12 + 13 - (-6)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.52, bodu=77, $$\frac{11}{(8 - (5 - 13))^2 - 1\frac{1}{6}}=\textcolor{white}{\frac{6}{139}}$$return {
["body"] = 77,
["id"] = "UMSf06_0419_2039",
["obtiznost"] = 0.8228,
["reseni"] = {
["float"] = 0.043165467625899,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 139 },
["render"] = "\\frac{66}{1529}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{139}",
["y"] = 6,
["z"] = 139 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 - 13",
["typ"] = "minus" },
["render"] = "(5 - 13)",
["typ"] = "zavorka" },
["render"] = "8 - (5 - 13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (5 - 13))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(8 - (5 - 13))^2 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "\\frac{11}{(8 - (5 - 13))^2 - 1\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.53, bodu=148, $$4\frac{5}{9} - 16 + 6 - (1\frac{1}{4} + 4\frac{4}{8}) \cdot 1\frac{1}{4}=\textcolor{white}{-12\frac{91}{144}}$$return {
["body"] = 148,
["id"] = "6Xnuvy_0419_2039",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -12.631944444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1819,
["jmenovatel"] = 144 },
["render"] = "\\frac{-1819}{144}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{91}{144}",
["x"] = -12,
["y"] = 91,
["z"] = 144 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 16 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{4} + 4\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{4} + 4\\frac{4}{8}) \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{9} - 16 + 6 - (1\\frac{1}{4} + 4\\frac{4}{8}) \\cdot 1\\frac{1}{4}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.54, bodu=67, $$\frac{\frac{-15}{-8}}{-14 \cdot 4\frac{5}{6}}=\textcolor{white}{-\frac{45}{1624}}$$return {
["body"] = 67,
["id"] = "3kMHW5_0419_2039",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -0.027709359605911,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 1624 },
["render"] = "\\frac{45}{-1624}",
["typ"] = "cislo" },
["tex"] = "-\\frac{45}{1624}",
["y"] = -45,
["z"] = 1624 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-15}{-8}}{-14 \\cdot 4\\frac{5}{6}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.55, bodu=120, $$\frac{9 + 3\frac{5}{11} + 4\frac{4}{10} - 13}{2\frac{5}{10} + 16}=\textcolor{white}{\frac{424}{2035}}$$return {
["body"] = 120,
["id"] = "sRUFUJ_0419_2039",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 0.20835380835381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 424,
["jmenovatel"] = 2035 },
["render"] = "\\frac{424}{2035}",
["typ"] = "cislo" },
["tex"] = "\\frac{424}{2035}",
["y"] = 424,
["z"] = 2035 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 13",
["typ"] = "minus" },
["render"] = "9 + 3\\frac{5}{11} + 4\\frac{4}{10} - 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 16",
["typ"] = "plus" },
["render"] = "\\frac{9 + 3\\frac{5}{11} + 4\\frac{4}{10} - 13}{2\\frac{5}{10} + 16}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.56, bodu=69, $$(12 + 3\frac{1}{8}) \cdot \frac{17}{14 \cdot 8}=\textcolor{white}{2\frac{265}{896}}$$return {
["body"] = 69,
["id"] = "OwzcdC_0419_2039",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 2.2957589285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2057,
["jmenovatel"] = 896 },
["render"] = "\\frac{2057}{896}",
["typ"] = "cislo" },
["tex"] = "2\\frac{265}{896}",
["x"] = 2,
["y"] = 265,
["z"] = 896 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(12 + 3\\frac{1}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "14 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{17}{14 \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "(12 + 3\\frac{1}{8}) \\cdot \\frac{17}{14 \\cdot 8}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.57, bodu=134, $$\frac{(\frac{1\frac{5}{11}}{2})^2}{\frac{4\frac{4}{9}}{10 + 2\frac{1}{2}}}=\textcolor{white}{1\frac{59}{121}}$$return {
["body"] = 134,
["id"] = "O7oFcC_0419_2039",
["obtiznost"] = 1.244,
["reseni"] = {
["float"] = 1.4876033057851,
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 121 },
["render"] = "\\frac{2880}{1936}",
["typ"] = "cislo" },
["tex"] = "1\\frac{59}{121}",
["x"] = 1,
["y"] = 59,
["z"] = 121 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.57",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{11}}{2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{5}{11}}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{9}}{10 + 2\\frac{1}{2}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{1\\frac{5}{11}}{2})^2}{\\frac{4\\frac{4}{9}}{10 + 2\\frac{1}{2}}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.58, bodu=71, $$15 \cdot 14 \cdot (2\frac{4}{6} - (-5)) + 10=\textcolor{white}{1620}$$return {
["body"] = 71,
["id"] = "YMnznA_0419_2039",
["obtiznost"] = 0.78,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1620,
["jmenovatel"] = 1 },
["render"] = "\\frac{1620}{1}",
["typ"] = "cislo" },
["tex"] = "1620",
["x"] = 1620 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "15 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} - (-5)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{6} - (-5))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot 14 \\cdot (2\\frac{4}{6} - (-5))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 14 \\cdot (2\\frac{4}{6} - (-5)) + 10",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.59, bodu=157, $$\frac{1\frac{1}{7} + (2\frac{3}{9} - (-5))^2 - (-11)}{2\frac{2}{10}}=\textcolor{white}{29\frac{668}{693}}$$return {
["body"] = 157,
["id"] = "AliMdH_0419_2039",
["obtiznost"] = 1.3872,
["reseni"] = {
["float"] = 29.963924963925,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20765,
["jmenovatel"] = 693 },
["render"] = "\\frac{20765}{693}",
["typ"] = "cislo" },
["tex"] = "29\\frac{668}{693}",
["x"] = 29,
["y"] = 668,
["z"] = 693 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{3}{9} - (-5))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{9} - (-5))^2 - (-11)",
["typ"] = "minus" },
["render"] = "1\\frac{1}{7} + (2\\frac{3}{9} - (-5))^2 - (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7} + (2\\frac{3}{9} - (-5))^2 - (-11)}{2\\frac{2}{10}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.6, bodu=100, $$-10 + 5 - 4\frac{5}{14} \cdot 5 - (3\frac{5}{9} - 16)=\textcolor{white}{-14\frac{43}{126}}$$return {
["body"] = 100,
["id"] = "irpdrm_0419_2039",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -14.34126984127,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1807,
["jmenovatel"] = 126 },
["render"] = "\\frac{-1807}{126}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{43}{126}",
["x"] = -14,
["y"] = 43,
["z"] = 126 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} \\cdot 5",
["typ"] = "krat" },
["render"] = "-10 + 5 - 4\\frac{5}{14} \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 16",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{9} - 16)",
["typ"] = "zavorka" },
["render"] = "-10 + 5 - 4\\frac{5}{14} \\cdot 5 - (3\\frac{5}{9} - 16)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.61, bodu=75, $$\frac{13 \cdot -7}{-10 \cdot -10 - (1\frac{5}{10} + (-11))}=\textcolor{white}{-\frac{182}{219}}$$return {
["body"] = 75,
["id"] = "2ckZ6O_0419_2039",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -0.8310502283105,
["objekt"] = {
["hodnota"] = {
["citatel"] = -182,
["jmenovatel"] = 219 },
["render"] = "\\frac{-182}{219}",
["typ"] = "cislo" },
["tex"] = "-\\frac{182}{219}",
["y"] = -182,
["z"] = 219 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + (-11)",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{10} + (-11))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot -10 - (1\\frac{5}{10} + (-11))",
["typ"] = "minus" },
["render"] = "\\frac{13 \\cdot -7}{-10 \\cdot -10 - (1\\frac{5}{10} + (-11))}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.62, bodu=76, $$(4\frac{5}{12} - (-16) - (-15)) \cdot (\frac{-10}{10})^2=\textcolor{white}{35\frac{5}{12}}$$return {
["body"] = 76,
["id"] = "VVYZTf_0419_2039",
["obtiznost"] = 0.8208,
["reseni"] = {
["float"] = 35.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 425,
["jmenovatel"] = 12 },
["render"] = "\\frac{425}{12}",
["typ"] = "cislo" },
["tex"] = "35\\frac{5}{12}",
["x"] = 35,
["y"] = 5,
["z"] = 12 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - (-16)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - (-16) - (-15)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - (-16) - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{10})^2",
["typ"] = "mocnina" },
["render"] = "(4\\frac{5}{12} - (-16) - (-15)) \\cdot (\\frac{-10}{10})^2",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.63, bodu=78, $$-20 - \frac{-12 + 2\frac{4}{11}}{\frac{12 + 6}{12}}=\textcolor{white}{-13\frac{19}{33}}$$return {
["body"] = 78,
["id"] = "I5PnAa_0419_2039",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -13.575757575758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -448,
["jmenovatel"] = 33 },
["render"] = "\\frac{-448}{33}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{19}{33}",
["x"] = -13,
["y"] = 19,
["z"] = 33 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-12 + 2\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 6}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 + 2\\frac{4}{11}}{\\frac{12 + 6}{12}}",
["typ"] = "lomeno" },
["render"] = "-20 - \\frac{-12 + 2\\frac{4}{11}}{\\frac{12 + 6}{12}}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.64, bodu=79, $$\frac{\frac{\frac{-11 - 4}{-14}}{-13}}{1\frac{2}{6}}=\textcolor{white}{-\frac{45}{728}}$$return {
["body"] = 79,
["id"] = "m7IdEN_0419_2039",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -0.061813186813187,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 728 },
["render"] = "\\frac{-45}{728}",
["typ"] = "cislo" },
["tex"] = "-\\frac{45}{728}",
["y"] = -45,
["z"] = 728 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - 4}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11 - 4}{-14}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-11 - 4}{-14}}{-13}}{1\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.65, bodu=167, $$\frac{3\frac{3}{10}}{\frac{3}{4\frac{1}{7} + 2\frac{3}{9} - 6 - 2\frac{4}{5}}}=\textcolor{white}{-2\frac{292}{525}}$$return {
["body"] = 167,
["id"] = "eMI3RQ_0419_2039",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -2.5561904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1342,
["jmenovatel"] = 525 },
["render"] = "\\frac{8052}{-3150}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{292}{525}",
["x"] = -2,
["y"] = 292,
["z"] = 525 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - 6 - 2\\frac{4}{5}",
["typ"] = "minus" },
["render"] = "4\\frac{1}{7} + 2\\frac{3}{9} - 6 - 2\\frac{4}{5}",
["typ"] = "plus" },
["render"] = "\\frac{3}{4\\frac{1}{7} + 2\\frac{3}{9} - 6 - 2\\frac{4}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{10}}{\\frac{3}{4\\frac{1}{7} + 2\\frac{3}{9} - 6 - 2\\frac{4}{5}}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.66, bodu=121, $$(10 - \frac{(-14 + (-13))^2}{7}) \cdot 12 \cdot 2\frac{1}{9}=\textcolor{white}{-2384\frac{20}{21}}$$return {
["body"] = 121,
["id"] = "uIfQTI_0419_2039",
["obtiznost"] = 1.152,
["reseni"] = {
["float"] = -2384.9523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50084,
["jmenovatel"] = 21 },
["render"] = "\\frac{-150252}{63}",
["typ"] = "cislo" },
["tex"] = "-2384\\frac{20}{21}",
["x"] = -2384,
["y"] = 20,
["z"] = 21 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 + (-13))^2}{7}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{(-14 + (-13))^2}{7}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{(-14 + (-13))^2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(10 - \\frac{(-14 + (-13))^2}{7}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "(10 - \\frac{(-14 + (-13))^2}{7}) \\cdot 12 \\cdot 2\\frac{1}{9}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.67, bodu=170, $$\frac{\frac{4\frac{2}{9}}{2\frac{4}{11}} + (-10 \cdot 6)}{3\frac{1}{6} + 2\frac{1}{7}}=\textcolor{white}{-10\frac{8384}{8697}}$$return {
["body"] = 170,
["id"] = "kSUeY2_0419_2039",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -10.96401057836,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95354,
["jmenovatel"] = 8697 },
["render"] = "\\frac{-286062}{26091}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{8384}{8697}",
["x"] = -10,
["y"] = 8384,
["z"] = 8697 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{9}}{2\\frac{4}{11}} + (-10 \\cdot 6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{2}{9}}{2\\frac{4}{11}} + (-10 \\cdot 6)}{3\\frac{1}{6} + 2\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.68, bodu=111, $$15 \cdot 11 - 8 + (-20 - (4\frac{2}{5} + 3\frac{3}{8}))=\textcolor{white}{129{,}225}$$return {
["body"] = 111,
["id"] = "EMwlrg_0419_2039",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 129.225,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5169,
["jmenovatel"] = 40 },
["render"] = "\\frac{5169}{40}",
["typ"] = "cislo" },
["tex"] = "129\\frac{9}{40}",
["tex_float"] = "129{,}225",
["x"] = 129,
["y"] = 9,
["z"] = 40 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "15 \\cdot 11 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{5} + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "-20 - (4\\frac{2}{5} + 3\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "15 \\cdot 11 - 8 + (-20 - (4\\frac{2}{5} + 3\\frac{3}{8}))",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.69, bodu=141, $$\frac{4\frac{5}{10} - 2\frac{4}{9}}{(3\frac{1}{10} - 11) \cdot -16}=\textcolor{white}{\frac{185}{11376}}$$return {
["body"] = 141,
["id"] = "VRVZZL_0419_2039",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 0.016262306610408,
["objekt"] = {
["hodnota"] = {
["citatel"] = 185,
["jmenovatel"] = 11376 },
["render"] = "\\frac{185}{11376}",
["typ"] = "cislo" },
["tex"] = "\\frac{185}{11376}",
["y"] = 185,
["z"] = 11376 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{10} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{10} - 11) \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{10} - 2\\frac{4}{9}}{(3\\frac{1}{10} - 11) \\cdot -16}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.7, bodu=89, $$(\frac{-11}{-11 - (-17) + (-14) + 3\frac{2}{7}})^2 - 3=\textcolor{white}{2\frac{4}{9}}$$return {
["body"] = 89,
["id"] = "KMn1wg_0419_2039",
["obtiznost"] = 0.9232,
["reseni"] = {
["float"] = 2.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "\\frac{22}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{9}",
["x"] = 2,
["y"] = 4,
["z"] = 9 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.7",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-11 - (-17)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-11 - (-17) + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-11 - (-17) + (-14) + 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-11}{-11 - (-17) + (-14) + 3\\frac{2}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{-11 - (-17) + (-14) + 3\\frac{2}{7}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(\\frac{-11}{-11 - (-17) + (-14) + 3\\frac{2}{7}})^2 - 3",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.71, bodu=115, $$\frac{3\frac{4}{8} - \frac{18 - 3\frac{4}{7}}{15}}{-12}=\textcolor{white}{-\frac{533}{2520}}$$return {
["body"] = 115,
["id"] = "53gWzy_0419_2039",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -0.21150793650794,
["objekt"] = {
["hodnota"] = {
["citatel"] = -533,
["jmenovatel"] = 2520 },
["render"] = "\\frac{533}{-2520}",
["typ"] = "cislo" },
["tex"] = "-\\frac{533}{2520}",
["y"] = -533,
["z"] = 2520 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "18 - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{18 - 3\\frac{4}{7}}{15}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{8} - \\frac{18 - 3\\frac{4}{7}}{15}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} - \\frac{18 - 3\\frac{4}{7}}{15}}{-12}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.72, bodu=89, $$-8 \cdot -14 \cdot 3\frac{4}{9} \cdot (21 + 17)=\textcolor{white}{14659\frac{5}{9}}$$return {
["body"] = 89,
["id"] = "qU1W5k_0419_2039",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 14659.555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 131936,
["jmenovatel"] = 9 },
["render"] = "\\frac{131936}{9}",
["typ"] = "cislo" },
["tex"] = "14659\\frac{5}{9}",
["x"] = 14659,
["y"] = 5,
["z"] = 9 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "21 + 17",
["typ"] = "plus" },
["render"] = "(21 + 17)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{9} \\cdot (21 + 17)",
["typ"] = "krat" },
["render"] = "-8 \\cdot -14 \\cdot 3\\frac{4}{9} \\cdot (21 + 17)",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.73, bodu=120, $$\frac{15}{-10} \cdot (-14 - (-17 \cdot (4\frac{5}{8} + (-5))^3))=\textcolor{white}{22\frac{353}{1024}}$$return {
["body"] = 120,
["id"] = "HicZrj_0419_2039",
["obtiznost"] = 1.1456,
["reseni"] = {
["float"] = 22.3447265625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22881,
["jmenovatel"] = 1024 },
["render"] = "\\frac{22881}{1024}",
["typ"] = "cislo" },
["tex"] = "22\\frac{353}{1024}",
["x"] = 22,
["y"] = 353,
["z"] = 1024 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + (-5)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{5}{8} + (-5))^3",
["typ"] = "mocnina" },
["render"] = "-17 \\cdot (4\\frac{5}{8} + (-5))^3",
["typ"] = "krat" },
["render"] = "-14 - (-17 \\cdot (4\\frac{5}{8} + (-5))^3)",
["typ"] = "minus" },
["render"] = "(-14 - (-17 \\cdot (4\\frac{5}{8} + (-5))^3))",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{-10} \\cdot (-14 - (-17 \\cdot (4\\frac{5}{8} + (-5))^3))",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.74, bodu=184, $$1\frac{4}{10} - (\frac{1\frac{5}{11}}{(\frac{-18}{12})^3} + 2\frac{5}{12} - 1\frac{5}{9})=\textcolor{white}{\frac{5761}{5940}}$$return {
["body"] = 184,
["id"] = "78VtAg_0419_2039",
["obtiznost"] = 1.554,
["reseni"] = {
["float"] = 0.96986531986532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5761,
["jmenovatel"] = 5940 },
["render"] = "\\frac{5761}{5940}",
["typ"] = "cislo" },
["tex"] = "\\frac{5761}{5940}",
["y"] = 5761,
["z"] = 5940 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-18}{12})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{11}}{(\\frac{-18}{12})^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{11}}{(\\frac{-18}{12})^3} + 2\\frac{5}{12} - 1\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{5}{11}}{(\\frac{-18}{12})^3} + 2\\frac{5}{12} - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{10} - (\\frac{1\\frac{5}{11}}{(\\frac{-18}{12})^3} + 2\\frac{5}{12} - 1\\frac{5}{9})",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.75, bodu=120, $$\frac{-12}{\frac{1\frac{5}{12} - 19}{-12 \cdot 3\frac{4}{13}}}=\textcolor{white}{-27\frac{243}{2743}}$$return {
["body"] = 120,
["id"] = "KN7re3_0419_2039",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -27.088589135983,
["objekt"] = {
["hodnota"] = {
["citatel"] = -74304,
["jmenovatel"] = 2743 },
["render"] = "\\frac{-74304}{2743}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{243}{2743}",
["x"] = -27,
["y"] = 243,
["z"] = 2743 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 19",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{12} - 19}{-12 \\cdot 3\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{1\\frac{5}{12} - 19}{-12 \\cdot 3\\frac{4}{13}}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.76, bodu=94, $$17 - \frac{-6 \cdot -8 - 7}{3\frac{2}{5}}=\textcolor{white}{4\frac{16}{17}}$$return {
["body"] = 94,
["id"] = "ZO2CKR_0419_2039",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 4.9411764705882,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 17 },
["render"] = "\\frac{84}{17}",
["typ"] = "cislo" },
["tex"] = "4\\frac{16}{17}",
["x"] = 4,
["y"] = 16,
["z"] = 17 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -8 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot -8 - 7}{3\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "17 - \\frac{-6 \\cdot -8 - 7}{3\\frac{2}{5}}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.77, bodu=99, $$\frac{(-16 + 12)^3 - 3\frac{4}{10}}{\frac{10 \cdot -19}{-7}}=\textcolor{white}{-2\frac{459}{950}}$$return {
["body"] = 99,
["id"] = "HPQxcT_0419_2039",
["obtiznost"] = 0.996,
["reseni"] = {
["float"] = -2.4831578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2359,
["jmenovatel"] = 950 },
["render"] = "\\frac{-2359}{950}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{459}{950}",
["x"] = -2,
["y"] = 459,
["z"] = 950 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-16 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-16 + 12)^3 - 3\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "10 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -19}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-16 + 12)^3 - 3\\frac{4}{10}}{\\frac{10 \\cdot -19}{-7}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.78, bodu=160, $$\frac{(8 - (-16))^2}{\frac{2\frac{5}{7}}{\frac{8}{3\frac{1}{6}}}}=\textcolor{white}{536\frac{40}{361}}$$return {
["body"] = 160,
["id"] = "NxOxNC_0419_2039",
["obtiznost"] = 1.4108,
["reseni"] = {
["float"] = 536.1108033241,
["objekt"] = {
["hodnota"] = {
["citatel"] = 193536,
["jmenovatel"] = 361 },
["render"] = "\\frac{193536}{361}",
["typ"] = "cislo" },
["tex"] = "536\\frac{40}{361}",
["x"] = 536,
["y"] = 40,
["z"] = 361 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.78",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "8 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{7}}{\\frac{8}{3\\frac{1}{6}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(8 - (-16))^2}{\\frac{2\\frac{5}{7}}{\\frac{8}{3\\frac{1}{6}}}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.79, bodu=157, $$1\frac{4}{12} \cdot 2\frac{5}{13} + \frac{14 + (-7)}{-12} - 2\frac{3}{7}=\textcolor{white}{\frac{61}{364}}$$return {
["body"] = 157,
["id"] = "uEXQet_0419_2039",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 0.16758241758242,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 364 },
["render"] = "\\frac{61}{364}",
["typ"] = "cislo" },
["tex"] = "\\frac{61}{364}",
["y"] = 61,
["z"] = 364 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} \\cdot 2\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "14 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{14 + (-7)}{-12}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{12} \\cdot 2\\frac{5}{13} + \\frac{14 + (-7)}{-12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} \\cdot 2\\frac{5}{13} + \\frac{14 + (-7)}{-12} - 2\\frac{3}{7}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.8, bodu=227, $$\frac{2\frac{5}{7}}{\frac{2\frac{1}{6}}{4\frac{4}{10} + 1\frac{4}{10}} - \frac{1\frac{4}{12}}{-10}}=\textcolor{white}{5\frac{365}{1029}}$$return {
["body"] = 227,
["id"] = "z3954k_0419_2039",
["obtiznost"] = 1.8,
["reseni"] = {
["float"] = 5.354713313897,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5510,
["jmenovatel"] = 1029 },
["render"] = "\\frac{5510}{1029}",
["typ"] = "cislo" },
["tex"] = "5\\frac{365}{1029}",
["x"] = 5,
["y"] = 365,
["z"] = 1029 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{6}}{4\\frac{4}{10} + 1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{6}}{4\\frac{4}{10} + 1\\frac{4}{10}} - \\frac{1\\frac{4}{12}}{-10}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{7}}{\\frac{2\\frac{1}{6}}{4\\frac{4}{10} + 1\\frac{4}{10}} - \\frac{1\\frac{4}{12}}{-10}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.81, bodu=160, $$\frac{14}{4} - \frac{2\frac{2}{9}}{4\frac{3}{5}} - (-13 + 2\frac{2}{6})=\textcolor{white}{13\frac{283}{414}}$$return {
["body"] = 160,
["id"] = "QaRXPh_0419_2039",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 13.683574879227,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5665,
["jmenovatel"] = 414 },
["render"] = "\\frac{16995}{1242}",
["typ"] = "cislo" },
["tex"] = "13\\frac{283}{414}",
["x"] = 13,
["y"] = 283,
["z"] = 414 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{9}}{4\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{4} - \\frac{2\\frac{2}{9}}{4\\frac{3}{5}}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{4} - \\frac{2\\frac{2}{9}}{4\\frac{3}{5}} - (-13 + 2\\frac{2}{6})",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.82, bodu=131, $$\frac{3\frac{3}{8}}{15} \cdot (2\frac{3}{8} + 14 + (-7)) \cdot 14=\textcolor{white}{29\frac{17}{32}}$$return {
["body"] = 131,
["id"] = "dMt7y8_0419_2039",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 29.53125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 945,
["jmenovatel"] = 32 },
["render"] = "\\frac{1890}{64}",
["typ"] = "cislo" },
["tex"] = "29\\frac{17}{32}",
["x"] = 29,
["y"] = 17,
["z"] = 32 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} + 14 + (-7)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} + 14 + (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{3}{8}}{15} \\cdot (2\\frac{3}{8} + 14 + (-7))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8}}{15} \\cdot (2\\frac{3}{8} + 14 + (-7)) \\cdot 14",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.83, bodu=132, $$16 \cdot 16 \cdot (1\frac{4}{8} - \frac{-13}{1\frac{1}{2}} + (-8))=\textcolor{white}{554\frac{2}{3}}$$return {
["body"] = 132,
["id"] = "graWy5_0419_2039",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 554.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1664,
["jmenovatel"] = 3 },
["render"] = "\\frac{3328}{6}",
["typ"] = "cislo" },
["tex"] = "554\\frac{2}{3}",
["x"] = 554,
["y"] = 2,
["z"] = 3 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "16 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{1\\frac{1}{2}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{8} - \\frac{-13}{1\\frac{1}{2}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - \\frac{-13}{1\\frac{1}{2}} + (-8)",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{8} - \\frac{-13}{1\\frac{1}{2}} + (-8))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 16 \\cdot (1\\frac{4}{8} - \\frac{-13}{1\\frac{1}{2}} + (-8))",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.84, bodu=199, $$(4\frac{1}{5} - (1\frac{4}{9} - 2\frac{1}{10}) \cdot -9) \cdot \frac{13}{1\frac{3}{4}}=\textcolor{white}{-12\frac{22}{35}}$$return {
["body"] = 199,
["id"] = "ZJDy0g_0419_2039",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = -12.628571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -442,
["jmenovatel"] = 35 },
["render"] = "\\frac{-884}{70}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{22}{35}",
["x"] = -12,
["y"] = 22,
["z"] = 35 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.84",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 2\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - 2\\frac{1}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{9} - 2\\frac{1}{10}) \\cdot -9",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} - (1\\frac{4}{9} - 2\\frac{1}{10}) \\cdot -9",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{5} - (1\\frac{4}{9} - 2\\frac{1}{10}) \\cdot -9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{1}{5} - (1\\frac{4}{9} - 2\\frac{1}{10}) \\cdot -9) \\cdot \\frac{13}{1\\frac{3}{4}}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.85, bodu=182, $$2\frac{2}{7} - (-5) - (11 + (-12))^3 \cdot (4\frac{4}{6} + (4\frac{2}{4} - 12)^2)=\textcolor{white}{68\frac{17}{84}}$$return {
["body"] = 182,
["id"] = "nuGioY_0419_2039",
["obtiznost"] = 1.5424,
["reseni"] = {
["float"] = 68.202380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5729,
["jmenovatel"] = 84 },
["render"] = "\\frac{5729}{84}",
["typ"] = "cislo" },
["tex"] = "68\\frac{17}{84}",
["x"] = 68,
["y"] = 17,
["z"] = 84 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - (-5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + (-12))^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{4} - 12)^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{4}{6} + (4\\frac{2}{4} - 12)^2",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{6} + (4\\frac{2}{4} - 12)^2)",
["typ"] = "zavorka" },
["render"] = "(11 + (-12))^3 \\cdot (4\\frac{4}{6} + (4\\frac{2}{4} - 12)^2)",
["typ"] = "krat" },
["render"] = "2\\frac{2}{7} - (-5) - (11 + (-12))^3 \\cdot (4\\frac{4}{6} + (4\\frac{2}{4} - 12)^2)",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.86, bodu=202, $$\frac{1\frac{1}{7}}{1\frac{5}{10}} \cdot (\frac{2\frac{3}{7}}{10} + 4\frac{2}{10} - 19)=\textcolor{white}{-11\frac{67}{735}}$$return {
["body"] = 202,
["id"] = "y8no8W_0419_2039",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -11.091156462585,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8152,
["jmenovatel"] = 735 },
["render"] = "\\frac{-16304}{1470}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{67}{735}",
["x"] = -11,
["y"] = 67,
["z"] = 735 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{10} + 4\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{10} + 4\\frac{2}{10} - 19",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{3}{7}}{10} + 4\\frac{2}{10} - 19)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{1}{7}}{1\\frac{5}{10}} \\cdot (\\frac{2\\frac{3}{7}}{10} + 4\\frac{2}{10} - 19)",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.87, bodu=169, $$\frac{(\frac{21}{11})^2}{(\frac{\frac{20}{4\frac{3}{4}}}{10})^2}=\textcolor{white}{20\frac{4321}{7744}}$$return {
["body"] = 169,
["id"] = "BZ9VP3_0419_2039",
["obtiznost"] = 1.4648,
["reseni"] = {
["float"] = 20.557980371901,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159201,
["jmenovatel"] = 7744 },
["render"] = "\\frac{159201}{7744}",
["typ"] = "cislo" },
["tex"] = "20\\frac{4321}{7744}",
["x"] = 20,
["y"] = 4321,
["z"] = 7744 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.87",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{21}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{21}{11})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{4\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{20}{4\\frac{3}{4}}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{20}{4\\frac{3}{4}}}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{21}{11})^2}{(\\frac{\\frac{20}{4\\frac{3}{4}}}{10})^2}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.88, bodu=140, $$2\frac{2}{11} \cdot -10 \cdot 4\frac{3}{9} \cdot -11 \cdot 16=\textcolor{white}{16640}$$return {
["body"] = 140,
["id"] = "uO9TPV_0419_2039",
["obtiznost"] = 1.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16640,
["jmenovatel"] = 1 },
["render"] = "\\frac{549120}{33}",
["typ"] = "cislo" },
["tex"] = "16640",
["tex_float"] = "16640",
["x"] = 16640 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 16",
["typ"] = "krat" },
["render"] = "-10 \\cdot 4\\frac{3}{9} \\cdot -11 \\cdot 16",
["typ"] = "krat" },
["render"] = "2\\frac{2}{11} \\cdot -10 \\cdot 4\\frac{3}{9} \\cdot -11 \\cdot 16",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.89, bodu=173, $$(2\frac{4}{6} + 4\frac{2}{7} - 1\frac{2}{10} + (-11)) \cdot 9 \cdot \frac{-15}{-8}=\textcolor{white}{-88\frac{31}{56}}$$return {
["body"] = 173,
["id"] = "Ff8WC7_0419_2039",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -88.553571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4959,
["jmenovatel"] = 56 },
["render"] = "\\frac{-24795}{280}",
["typ"] = "cislo" },
["tex"] = "-88\\frac{31}{56}",
["x"] = -88,
["y"] = 31,
["z"] = 56 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 4\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 4\\frac{2}{7} - 1\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + 4\\frac{2}{7} - 1\\frac{2}{10} + (-11)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + 4\\frac{2}{7} - 1\\frac{2}{10} + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{6} + 4\\frac{2}{7} - 1\\frac{2}{10} + (-11)) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-8}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{4}{6} + 4\\frac{2}{7} - 1\\frac{2}{10} + (-11)) \\cdot 9 \\cdot \\frac{-15}{-8}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.9, bodu=209, $$(6 + 2\frac{3}{11} \cdot 3\frac{2}{4} + 2\frac{5}{11}) \cdot \frac{-22}{3\frac{5}{11} + (-7)}=\textcolor{white}{101\frac{32}{39}}$$return {
["body"] = 209,
["id"] = "SX8OFj_0419_2039",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 101.82051282051,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3971,
["jmenovatel"] = 39 },
["render"] = "\\frac{87362}{858}",
["typ"] = "cislo" },
["tex"] = "101\\frac{32}{39}",
["x"] = 101,
["y"] = 32,
["z"] = 39 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "6 + 2\\frac{3}{11} \\cdot 3\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "6 + 2\\frac{3}{11} \\cdot 3\\frac{2}{4} + 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(6 + 2\\frac{3}{11} \\cdot 3\\frac{2}{4} + 2\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{-22}{3\\frac{5}{11} + (-7)}",
["typ"] = "lomeno" },
["render"] = "(6 + 2\\frac{3}{11} \\cdot 3\\frac{2}{4} + 2\\frac{5}{11}) \\cdot \\frac{-22}{3\\frac{5}{11} + (-7)}",
["typ"] = "krat" } }
seed: GMoTjqyvBdtaQViX8wJv_0.91, bodu=144, $$12 - \frac{2\frac{3}{4}}{-12} + \frac{17}{3\frac{3}{11}} \cdot 13=\textcolor{white}{79\frac{109}{144}}$$return {
["body"] = 144,
["id"] = "oHhq28_0419_2039",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 79.756944444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11485,
["jmenovatel"] = 144 },
["render"] = "\\frac{137820}{1728}",
["typ"] = "cislo" },
["tex"] = "79\\frac{109}{144}",
["x"] = 79,
["y"] = 109,
["z"] = 144 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{4}}{-12}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{2\\frac{3}{4}}{-12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{17}{3\\frac{3}{11}} \\cdot 13",
["typ"] = "krat" },
["render"] = "12 - \\frac{2\\frac{3}{4}}{-12} + \\frac{17}{3\\frac{3}{11}} \\cdot 13",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.92, bodu=211, $$\frac{(-11 + (-11))^2 - 4\frac{2}{11} \cdot (4\frac{5}{11} - 4\frac{3}{10})}{-16}=\textcolor{white}{-30\frac{2029}{9680}}$$return {
["body"] = 211,
["id"] = "PV7lt4_0419_2039",
["obtiznost"] = 1.714,
["reseni"] = {
["float"] = -30.209607438017,
["objekt"] = {
["hodnota"] = {
["citatel"] = -292429,
["jmenovatel"] = 9680 },
["render"] = "\\frac{292429}{-9680}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{2029}{9680}",
["x"] = -30,
["y"] = 2029,
["z"] = 9680 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - 4\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{11} - 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{11} \\cdot (4\\frac{5}{11} - 4\\frac{3}{10})",
["typ"] = "krat" },
["render"] = "(-11 + (-11))^2 - 4\\frac{2}{11} \\cdot (4\\frac{5}{11} - 4\\frac{3}{10})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{(-11 + (-11))^2 - 4\\frac{2}{11} \\cdot (4\\frac{5}{11} - 4\\frac{3}{10})}{-16}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.93, bodu=289, $$-6 + 4\frac{3}{7} - \frac{4\frac{5}{16}}{4\frac{5}{13} + 3\frac{5}{11} + (-6) + 2\frac{2}{9} + 1\frac{2}{8}}=\textcolor{white}{-2\frac{293505}{765604}}$$return {
["body"] = 289,
["id"] = "PFQUM1_0419_2039",
["obtiznost"] = 2.13,
["reseni"] = {
["float"] = -2.3833639845142,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1824713,
["jmenovatel"] = 765604 },
["render"] = "\\frac{-1824713}{765604}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{293505}{765604}",
["x"] = -2,
["y"] = 293505,
["z"] = 765604 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 16 },
["render"] = "4\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-6) + 2\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + (-6) + 2\\frac{2}{9} + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{13} + 3\\frac{5}{11} + (-6) + 2\\frac{2}{9} + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{16}}{4\\frac{5}{13} + 3\\frac{5}{11} + (-6) + 2\\frac{2}{9} + 1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{7} - \\frac{4\\frac{5}{16}}{4\\frac{5}{13} + 3\\frac{5}{11} + (-6) + 2\\frac{2}{9} + 1\\frac{2}{8}}",
["typ"] = "minus" },
["render"] = "-6 + 4\\frac{3}{7} - \\frac{4\\frac{5}{16}}{4\\frac{5}{13} + 3\\frac{5}{11} + (-6) + 2\\frac{2}{9} + 1\\frac{2}{8}}",
["typ"] = "plus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.94, bodu=153, $$\frac{\frac{15}{3\frac{1}{9}} - 12 + (-17 + 13)^3}{13 \cdot 4\frac{3}{6}}=\textcolor{white}{-1\frac{355}{1638}}$$return {
["body"] = 153,
["id"] = "I1Vhi4_0419_2039",
["obtiznost"] = 1.366,
["reseni"] = {
["float"] = -1.2167277167277,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1993,
["jmenovatel"] = 1638 },
["render"] = "\\frac{-3986}{3276}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{355}{1638}",
["x"] = -1,
["y"] = 355,
["z"] = 1638 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{1}{9}} - 12",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-17 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-17 + 13)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{15}{3\\frac{1}{9}} - 12 + (-17 + 13)^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{15}{3\\frac{1}{9}} - 12 + (-17 + 13)^3}{13 \\cdot 4\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.95, bodu=151, $$(3\frac{2}{9} + 17) \cdot 14 + (-12) - \frac{2\frac{1}{11} - 14}{-8}=\textcolor{white}{269\frac{493}{792}}$$return {
["body"] = 151,
["id"] = "YFP44l_0419_2039",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 269.62247474747,
["objekt"] = {
["hodnota"] = {
["citatel"] = 213541,
["jmenovatel"] = 792 },
["render"] = "\\frac{213541}{792}",
["typ"] = "cislo" },
["tex"] = "269\\frac{493}{792}",
["x"] = 269,
["y"] = 493,
["z"] = 792 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 17",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} + 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{9} + 17) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{9} + 17) \\cdot 14 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{11} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{11} - 14}{-8}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{2}{9} + 17) \\cdot 14 + (-12) - \\frac{2\\frac{1}{11} - 14}{-8}",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.96, bodu=359, $$\frac{(1\frac{4}{10} + 3\frac{4}{8} + 4\frac{3}{8}) \cdot ((\frac{12}{3\frac{1}{9}})^2 + 1\frac{1}{3})}{3\frac{2}{9}}=\textcolor{white}{46\frac{5377}{8120}}$$return {
["body"] = 359,
["id"] = "K0mcaY_0419_2039",
["obtiznost"] = 2.4712,
["reseni"] = {
["float"] = 46.662192118227,
["objekt"] = {
["hodnota"] = {
["citatel"] = 378897,
["jmenovatel"] = 8120 },
["render"] = "\\frac{1136691}{24360}",
["typ"] = "cislo" },
["tex"] = "46\\frac{5377}{8120}",
["x"] = 46,
["y"] = 5377,
["z"] = 8120 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + 3\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + 3\\frac{4}{8} + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{10} + 3\\frac{4}{8} + 4\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{1}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{3\\frac{1}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{3\\frac{1}{9}})^2 + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "((\\frac{12}{3\\frac{1}{9}})^2 + 1\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{4}{10} + 3\\frac{4}{8} + 4\\frac{3}{8}) \\cdot ((\\frac{12}{3\\frac{1}{9}})^2 + 1\\frac{1}{3})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{4}{10} + 3\\frac{4}{8} + 4\\frac{3}{8}) \\cdot ((\\frac{12}{3\\frac{1}{9}})^2 + 1\\frac{1}{3})}{3\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.97, bodu=221, $$3\frac{5}{11} - (\frac{2\frac{4}{8}}{9} - \frac{-7}{2\frac{2}{4}} + 3\frac{4}{7})=\textcolor{white}{-3\frac{1349}{6930}}$$return {
["body"] = 221,
["id"] = "xbFsMk_0419_2039",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -3.1946608946609,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22139,
["jmenovatel"] = 6930 },
["render"] = "\\frac{-22139}{6930}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1349}{6930}",
["x"] = -3,
["y"] = 1349,
["z"] = 6930 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{2\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{8}}{9} - \\frac{-7}{2\\frac{2}{4}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{9} - \\frac{-7}{2\\frac{2}{4}} + 3\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{4}{8}}{9} - \\frac{-7}{2\\frac{2}{4}} + 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{11} - (\\frac{2\\frac{4}{8}}{9} - \\frac{-7}{2\\frac{2}{4}} + 3\\frac{4}{7})",
["typ"] = "minus" } }
seed: GMoTjqyvBdtaQViX8wJv_0.98, bodu=251, $$\frac{3\frac{3}{8} + \frac{(\frac{9}{1\frac{1}{11} + 12})^2}{2\frac{4}{6}}}{1\frac{4}{12}}=\textcolor{white}{2\frac{5441}{8192}}$$return {
["body"] = 251,
["id"] = "ls3CDx_0419_2039",
["obtiznost"] = 1.9308,
["reseni"] = {
["float"] = 2.6641845703125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21825,
["jmenovatel"] = 8192 },
["render"] = "\\frac{21825}{8192}",
["typ"] = "cislo" },
["tex"] = "2\\frac{5441}{8192}",
["x"] = 2,
["y"] = 5441,
["z"] = 8192 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} + 12",
["typ"] = "plus" },
["render"] = "\\frac{9}{1\\frac{1}{11} + 12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{1\\frac{1}{11} + 12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{9}{1\\frac{1}{11} + 12})^2}{2\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} + \\frac{(\\frac{9}{1\\frac{1}{11} + 12})^2}{2\\frac{4}{6}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{8} + \\frac{(\\frac{9}{1\\frac{1}{11} + 12})^2}{2\\frac{4}{6}}}{1\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: GMoTjqyvBdtaQViX8wJv_0.99, bodu=126, $$1\frac{2}{10} - (-15 - (-13 - (-14))) - \frac{7}{22}=\textcolor{white}{16\frac{97}{110}}$$return {
["body"] = 126,
["id"] = "HBcjMG_0419_2039",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 16.881818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1857,
["jmenovatel"] = 110 },
["render"] = "\\frac{1857}{110}",
["typ"] = "cislo" },
["tex"] = "16\\frac{97}{110}",
["x"] = 16,
["y"] = 97,
["z"] = 110 },
["seed"] = "GMoTjqyvBdtaQViX8wJv_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 - (-14)",
["typ"] = "minus" },
["render"] = "(-13 - (-14))",
["typ"] = "zavorka" },
["render"] = "-15 - (-13 - (-14))",
["typ"] = "minus" },
["render"] = "(-15 - (-13 - (-14)))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{10} - (-15 - (-13 - (-14)))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{7}{22}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{10} - (-15 - (-13 - (-14))) - \\frac{7}{22}",
["typ"] = "minus" } }
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