- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: vv5B9LygCcMbwpX9jW99_0, bodu=10, $$\frac{3}{10 + \frac{3}{9}}=\textcolor{white}{\frac{9}{31}}$$return {
["body"] = 10,
["id"] = "vnk6mG_0421_1428",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.29032258064516,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 31 },
["render"] = "\\frac{9}{31}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{31}",
["y"] = 9,
["z"] = 31 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{3}{10 + \\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.01, bodu=12, $$\frac{(7 + 7)^2 - (-5)}{6}=\textcolor{white}{33{,}5}$$return {
["body"] = 12,
["id"] = "fGTGz8_0421_1428",
["obtiznost"] = 0.0888,
["reseni"] = {
["float"] = 33.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 67,
["jmenovatel"] = 2 },
["render"] = "\\frac{201}{6}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{2}",
["tex_float"] = "33{,}5",
["x"] = 33,
["y"] = 1,
["z"] = 2 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(7 + 7)^2 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 7)^2 - (-5)}{6}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.02, bodu=5, $$5 + 4 + 5 + 3 - (-3)=\textcolor{white}{20}$$return {
["body"] = 5,
["id"] = "r1TMUr_0421_1428",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{1}",
["typ"] = "cislo" },
["tex"] = "20",
["x"] = 20 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 + 3",
["typ"] = "plus" },
["render"] = "5 + 4 + 5 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "5 + 4 + 5 + 3 - (-3)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.03, bodu=5, $$5 \cdot -11 \cdot 8=\textcolor{white}{-440}$$return {
["body"] = 5,
["id"] = "neY0Ur_0421_1428",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -440,
["jmenovatel"] = 1 },
["render"] = "\\frac{-440}{1}",
["typ"] = "cislo" },
["tex"] = "-440",
["x"] = -440 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "5 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot -11 \\cdot 8",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.04, bodu=16, $$(\frac{5}{6})^3 - (6 - (-4))=\textcolor{white}{-9\frac{91}{216}}$$return {
["body"] = 16,
["id"] = "gaa1G0_0421_1428",
["obtiznost"] = 0.1764,
["reseni"] = {
["float"] = -9.4212962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2035,
["jmenovatel"] = 216 },
["render"] = "\\frac{-2035}{216}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{91}{216}",
["x"] = -9,
["y"] = 91,
["z"] = 216 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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"] = "(6 - (-4))",
["typ"] = "zavorka" },
["render"] = "(\\frac{5}{6})^3 - (6 - (-4))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.05, bodu=5, $$7 - (7 \cdot 10 + (-6))=\textcolor{white}{-57}$$return {
["body"] = 5,
["id"] = "w9qd6X_0421_1428",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 1 },
["render"] = "\\frac{-57}{1}",
["typ"] = "cislo" },
["tex"] = "-57",
["x"] = -57 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 10 + (-6)",
["typ"] = "plus" },
["render"] = "(7 \\cdot 10 + (-6))",
["typ"] = "zavorka" },
["render"] = "7 - (7 \\cdot 10 + (-6))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.06, bodu=11, $$\frac{7}{\frac{10}{-7}}=\textcolor{white}{-4{,}9}$$return {
["body"] = 11,
["id"] = "jazBbI_0421_1428",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -4.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 10 },
["render"] = "\\frac{49}{-10}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{9}{10}",
["tex_float"] = "-4{,}9",
["x"] = -4,
["y"] = 9,
["z"] = 10 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{10}{-7}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.07, bodu=11, $$\frac{11 - 8}{\frac{10}{-8}}=\textcolor{white}{-2{,}4}$$return {
["body"] = 11,
["id"] = "XcXJqc_0421_1428",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -2.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 5 },
["render"] = "\\frac{12}{-5}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{5}",
["tex_float"] = "-2{,}4",
["x"] = -2,
["y"] = 2,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "\\frac{11 - 8}{\\frac{10}{-8}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.08, bodu=12, $$\frac{10 + 7}{\frac{9}{9}}=\textcolor{white}{17}$$return {
["body"] = 12,
["id"] = "34zsT0_0421_1428",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "\\frac{17}{1}",
["typ"] = "cislo" },
["tex"] = "17",
["x"] = 17 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.08",
["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"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{10 + 7}{\\frac{9}{9}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.09, bodu=24, $$-5 \cdot (\frac{8}{-7 - (-6)})^3=\textcolor{white}{2560}$$return {
["body"] = 24,
["id"] = "Pd2ii6_0421_1428",
["obtiznost"] = 0.2952,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2560,
["jmenovatel"] = 1 },
["render"] = "\\frac{2560}{1}",
["typ"] = "cislo" },
["tex"] = "2560",
["tex_float"] = "2560",
["x"] = 2560 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{-7 - (-6)})^3",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (\\frac{8}{-7 - (-6)})^3",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.1, bodu=12, $$\frac{5}{7} - (3 + (-9))=\textcolor{white}{6\frac{5}{7}}$$return {
["body"] = 12,
["id"] = "I1ewzb_0421_1428",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 6.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 7 },
["render"] = "\\frac{47}{7}",
["typ"] = "cislo" },
["tex"] = "6\\frac{5}{7}",
["x"] = 6,
["y"] = 5,
["z"] = 7 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(3 + (-9))",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{7} - (3 + (-9))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.11, bodu=17, $$\frac{(7 + 10 - 11)^3}{6}=\textcolor{white}{36}$$return {
["body"] = 17,
["id"] = "JwOWAm_0421_1428",
["obtiznost"] = 0.1968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1 },
["render"] = "\\frac{216}{6}",
["typ"] = "cislo" },
["tex"] = "36",
["tex_float"] = "36",
["x"] = 36 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 + 10 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 + 10 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 10 - 11)^3}{6}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.12, bodu=7, $$9 - ((-8 + 9)^3 \cdot 6)^2=\textcolor{white}{-27}$$return {
["body"] = 7,
["id"] = "700Hql_0421_1428",
["obtiznost"] = 0.1356,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 1 },
["render"] = "\\frac{-27}{1}",
["typ"] = "cislo" },
["tex"] = "-27",
["tex_float"] = "-27",
["x"] = -27 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-8 + 9)^3 \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-8 + 9)^3 \\cdot 6)^2",
["typ"] = "mocnina" },
["render"] = "9 - ((-8 + 9)^3 \\cdot 6)^2",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.13, bodu=27, $$(5 - (7 - (\frac{-10}{5})^2)^3)^2=\textcolor{white}{484}$$return {
["body"] = 27,
["id"] = "UGWRpD_0421_1428",
["obtiznost"] = 0.3372,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 484,
["jmenovatel"] = 1 },
["render"] = "\\frac{484}{1}",
["typ"] = "cislo" },
["tex"] = "484",
["tex_float"] = "484",
["x"] = 484 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.13",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{5})^2",
["typ"] = "mocnina" },
["render"] = "7 - (\\frac{-10}{5})^2",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - (\\frac{-10}{5})^2)^3",
["typ"] = "mocnina" },
["render"] = "5 - (7 - (\\frac{-10}{5})^2)^3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - (7 - (\\frac{-10}{5})^2)^3)^2",
["typ"] = "mocnina" } }
seed: vv5B9LygCcMbwpX9jW99_0.14, bodu=45, $$\frac{12}{1\frac{4}{7}} + 8 + 4\frac{5}{8}=\textcolor{white}{20\frac{23}{88}}$$return {
["body"] = 45,
["id"] = "TWr5yy_0421_1428",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 20.261363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1783,
["jmenovatel"] = 88 },
["render"] = "\\frac{1783}{88}",
["typ"] = "cislo" },
["tex"] = "20\\frac{23}{88}",
["x"] = 20,
["y"] = 23,
["z"] = 88 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{12}{1\\frac{4}{7}} + 8 + 4\\frac{5}{8}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.15, bodu=7, $$(5 - 11) \cdot (5 + 4)=\textcolor{white}{-54}$$return {
["body"] = 7,
["id"] = "5DnpuU_0421_1428",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 1 },
["render"] = "\\frac{-54}{1}",
["typ"] = "cislo" },
["tex"] = "-54",
["tex_float"] = "-54",
["x"] = -54 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["render"] = "(5 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 + 4",
["typ"] = "plus" },
["render"] = "(5 + 4)",
["typ"] = "zavorka" },
["render"] = "(5 - 11) \\cdot (5 + 4)",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.16, bodu=7, $$-9 \cdot 7 \cdot 13=\textcolor{white}{-819}$$return {
["body"] = 7,
["id"] = "FnI630_0421_1428",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -819,
["jmenovatel"] = 1 },
["render"] = "\\frac{-819}{1}",
["typ"] = "cislo" },
["tex"] = "-819",
["tex_float"] = "-819",
["x"] = -819 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.16",
["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"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7 \\cdot 13",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.17, bodu=49, $$((\frac{-3}{-6})^3 - 3\frac{1}{4}) \cdot 2\frac{2}{5}=\textcolor{white}{-7{,}5}$$return {
["body"] = 49,
["id"] = "2xRAO5_0421_1428",
["obtiznost"] = 0.5736,
["reseni"] = {
["float"] = -7.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 2 },
["render"] = "\\frac{-300}{40}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{2}",
["tex_float"] = "-7{,}5",
["x"] = -7,
["y"] = 1,
["z"] = 2 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.17",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-3}{-6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(\\frac{-3}{-6})^3 - 3\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "((\\frac{-3}{-6})^3 - 3\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "((\\frac{-3}{-6})^3 - 3\\frac{1}{4}) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.18, bodu=16, $$\frac{6}{10} + 8 - (-5)=\textcolor{white}{13{,}6}$$return {
["body"] = 16,
["id"] = "Rx6oZF_0421_1428",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 13.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 68,
["jmenovatel"] = 5 },
["render"] = "\\frac{68}{5}",
["typ"] = "cislo" },
["tex"] = "13\\frac{3}{5}",
["tex_float"] = "13{,}6",
["x"] = 13,
["y"] = 3,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{10} + 8 - (-5)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.19, bodu=22, $$\frac{(\frac{6}{5})^2}{(5 - 10)^3}=\textcolor{white}{-\frac{36}{3125}}$$return {
["body"] = 22,
["id"] = "AMZqRq_0421_1428",
["obtiznost"] = 0.2648,
["reseni"] = {
["float"] = -0.01152,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 3125 },
["render"] = "\\frac{36}{-3125}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36}{3125}",
["y"] = -36,
["z"] = 3125 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.19",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(5 - 10)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{6}{5})^2}{(5 - 10)^3}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.2, bodu=12, $$6 + (-7 + (-10))^2 - (9 - 7)=\textcolor{white}{293}$$return {
["body"] = 12,
["id"] = "5XqcnV_0421_1428",
["obtiznost"] = 0.316,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 293,
["jmenovatel"] = 1 },
["render"] = "\\frac{293}{1}",
["typ"] = "cislo" },
["tex"] = "293",
["x"] = 293 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["render"] = "(9 - 7)",
["typ"] = "zavorka" },
["render"] = "(-7 + (-10))^2 - (9 - 7)",
["typ"] = "minus" },
["render"] = "6 + (-7 + (-10))^2 - (9 - 7)",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.21, bodu=33, $$(8 \cdot 8 + (-3)) \cdot 4\frac{2}{5}=\textcolor{white}{268{,}4}$$return {
["body"] = 33,
["id"] = "xtInXL_0421_1428",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 268.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1342,
["jmenovatel"] = 5 },
["render"] = "\\frac{1342}{5}",
["typ"] = "cislo" },
["tex"] = "268\\frac{2}{5}",
["tex_float"] = "268{,}4",
["x"] = 268,
["y"] = 2,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8 + (-3)",
["typ"] = "plus" },
["render"] = "(8 \\cdot 8 + (-3))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(8 \\cdot 8 + (-3)) \\cdot 4\\frac{2}{5}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.22, bodu=34, $$\frac{11}{\frac{7}{9}} + 1\frac{2}{6}=\textcolor{white}{15\frac{10}{21}}$$return {
["body"] = 34,
["id"] = "xD85iu_0421_1428",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 15.47619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 325,
["jmenovatel"] = 21 },
["render"] = "\\frac{325}{21}",
["typ"] = "cislo" },
["tex"] = "15\\frac{10}{21}",
["x"] = 15,
["y"] = 10,
["z"] = 21 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{11}{\\frac{7}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{\\frac{7}{9}} + 1\\frac{2}{6}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.23, bodu=40, $$\frac{(\frac{5}{8})^3 - (-8)}{8}=\textcolor{white}{1\frac{125}{4096}}$$return {
["body"] = 40,
["id"] = "lLajNW_0421_1428",
["obtiznost"] = 0.4848,
["reseni"] = {
["float"] = 1.030517578125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4221,
["jmenovatel"] = 4096 },
["render"] = "\\frac{4221}{4096}",
["typ"] = "cislo" },
["tex"] = "1\\frac{125}{4096}",
["x"] = 1,
["y"] = 125,
["z"] = 4096 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{8})^3 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{5}{8})^3 - (-8)}{8}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.24, bodu=56, $$\frac{7 + 3\frac{2}{5}}{\frac{2\frac{5}{8} - 12}{-7}}=\textcolor{white}{7\frac{287}{375}}$$return {
["body"] = 56,
["id"] = "Z9m36C_0421_1428",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 7.7653333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2912,
["jmenovatel"] = 375 },
["render"] = "\\frac{2912}{375}",
["typ"] = "cislo" },
["tex"] = "7\\frac{287}{375}",
["x"] = 7,
["y"] = 287,
["z"] = 375 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "7 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{8} - 12}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{7 + 3\\frac{2}{5}}{\\frac{2\\frac{5}{8} - 12}{-7}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.25, bodu=10, $$-8 \cdot (13 \cdot 8 - (-8))=\textcolor{white}{-896}$$return {
["body"] = 10,
["id"] = "pTiAxt_0421_1428",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -896,
["jmenovatel"] = 1 },
["render"] = "\\frac{-896}{1}",
["typ"] = "cislo" },
["tex"] = "-896",
["x"] = -896 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 \\cdot 8 - (-8)",
["typ"] = "minus" },
["render"] = "(13 \\cdot 8 - (-8))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (13 \\cdot 8 - (-8))",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.26, bodu=58, $$(3\frac{4}{7} - 8) \cdot (12 + 1\frac{3}{9} + 12 + 8)=\textcolor{white}{-147\frac{13}{21}}$$return {
["body"] = 58,
["id"] = "khvYoN_0421_1428",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -147.61904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3100,
["jmenovatel"] = 21 },
["render"] = "\\frac{-3100}{21}",
["typ"] = "cislo" },
["tex"] = "-147\\frac{13}{21}",
["x"] = -147,
["y"] = 13,
["z"] = 21 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - 8",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{7} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 + 8",
["typ"] = "plus" },
["render"] = "12 + 1\\frac{3}{9} + 12 + 8",
["typ"] = "plus" },
["render"] = "(12 + 1\\frac{3}{9} + 12 + 8)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{7} - 8) \\cdot (12 + 1\\frac{3}{9} + 12 + 8)",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.27, bodu=38, $$\frac{8 + 1\frac{3}{8}}{6} \cdot 6=\textcolor{white}{9{,}375}$$return {
["body"] = 38,
["id"] = "tzpXc5_0421_1428",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 9.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 8 },
["render"] = "\\frac{150}{16}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{8}",
["tex_float"] = "9{,}375",
["x"] = 9,
["y"] = 3,
["z"] = 8 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 1\\frac{3}{8}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 1\\frac{3}{8}}{6} \\cdot 6",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.28, bodu=39, $$\frac{10}{3\frac{5}{6}} - (-10 \cdot -10)=\textcolor{white}{-97\frac{9}{23}}$$return {
["body"] = 39,
["id"] = "lleyZJ_0421_1428",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -97.391304347826,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2240,
["jmenovatel"] = 23 },
["render"] = "\\frac{-2240}{23}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{9}{23}",
["x"] = -97,
["y"] = 9,
["z"] = 23 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["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" },
["render"] = "\\frac{10}{3\\frac{5}{6}} - (-10 \\cdot -10)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.29, bodu=40, $$9 \cdot 1\frac{3}{8} \cdot (5 + 9)=\textcolor{white}{173{,}25}$$return {
["body"] = 40,
["id"] = "qAAkBV_0421_1428",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 173.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 693,
["jmenovatel"] = 4 },
["render"] = "\\frac{693}{4}",
["typ"] = "cislo" },
["tex"] = "173\\frac{1}{4}",
["tex_float"] = "173{,}25",
["x"] = 173,
["y"] = 1,
["z"] = 4 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 + 9",
["typ"] = "plus" },
["render"] = "(5 + 9)",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} \\cdot (5 + 9)",
["typ"] = "krat" },
["render"] = "9 \\cdot 1\\frac{3}{8} \\cdot (5 + 9)",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.3, bodu=41, $$\frac{-7}{5} \cdot -7 - 2\frac{3}{6}=\textcolor{white}{7{,}3}$$return {
["body"] = 41,
["id"] = "zmDIus_0421_1428",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 7.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 73,
["jmenovatel"] = 10 },
["render"] = "\\frac{73}{10}",
["typ"] = "cislo" },
["tex"] = "7\\frac{3}{10}",
["tex_float"] = "7{,}3",
["x"] = 7,
["y"] = 3,
["z"] = 10 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{5} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{5} \\cdot -7 - 2\\frac{3}{6}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.31, bodu=63, $$7 - \frac{2\frac{2}{7}}{\frac{3\frac{2}{5}}{11}}=\textcolor{white}{-\frac{47}{119}}$$return {
["body"] = 63,
["id"] = "vnUKsN_0421_1428",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -0.39495798319328,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 119 },
["render"] = "\\frac{-47}{119}",
["typ"] = "cislo" },
["tex"] = "-\\frac{47}{119}",
["y"] = -47,
["z"] = 119 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{7}}{\\frac{3\\frac{2}{5}}{11}}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{2\\frac{2}{7}}{\\frac{3\\frac{2}{5}}{11}}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.32, bodu=46, $$\frac{(6 + (-4 + (-5))^2) \cdot -13}{1\frac{1}{3}}=\textcolor{white}{-848{,}25}$$return {
["body"] = 46,
["id"] = "Z4XOsD_0421_1428",
["obtiznost"] = 0.5528,
["reseni"] = {
["float"] = -848.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3393,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3393}{4}",
["typ"] = "cislo" },
["tex"] = "-848\\frac{1}{4}",
["tex_float"] = "-848{,}25",
["x"] = -848,
["y"] = 1,
["z"] = 4 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-4 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 + (-5))^2",
["typ"] = "mocnina" },
["render"] = "6 + (-4 + (-5))^2",
["typ"] = "plus" },
["render"] = "(6 + (-4 + (-5))^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(6 + (-4 + (-5))^2) \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{(6 + (-4 + (-5))^2) \\cdot -13}{1\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.33, bodu=45, $$(4 - 9)^2 \cdot 2\frac{4}{6} - 8=\textcolor{white}{58\frac{2}{3}}$$return {
["body"] = 45,
["id"] = "9wPxtS_0421_1428",
["obtiznost"] = 0.5404,
["reseni"] = {
["float"] = 58.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 176,
["jmenovatel"] = 3 },
["render"] = "\\frac{176}{3}",
["typ"] = "cislo" },
["tex"] = "58\\frac{2}{3}",
["x"] = 58,
["y"] = 2,
["z"] = 3 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4 - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(4 - 9)^2 \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(4 - 9)^2 \\cdot 2\\frac{4}{6} - 8",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.34, bodu=67, $$12 + 15 - 2\frac{5}{8} + 4\frac{2}{6} \cdot 11=\textcolor{white}{72\frac{1}{24}}$$return {
["body"] = 67,
["id"] = "Fq8eoi_0421_1428",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 72.041666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1729,
["jmenovatel"] = 24 },
["render"] = "\\frac{1729}{24}",
["typ"] = "cislo" },
["tex"] = "72\\frac{1}{24}",
["x"] = 72,
["y"] = 1,
["z"] = 24 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 11",
["typ"] = "krat" },
["render"] = "15 - 2\\frac{5}{8} + 4\\frac{2}{6} \\cdot 11",
["typ"] = "plus" },
["render"] = "12 + 15 - 2\\frac{5}{8} + 4\\frac{2}{6} \\cdot 11",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.35, bodu=14, $$16 + (-5 \cdot 5 \cdot -7)=\textcolor{white}{191}$$return {
["body"] = 14,
["id"] = "5P0v13_0421_1428",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 1 },
["render"] = "\\frac{191}{1}",
["typ"] = "cislo" },
["tex"] = "191",
["x"] = 191 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 5 \\cdot -7",
["typ"] = "krat" },
["render"] = "16 + (-5 \\cdot 5 \\cdot -7)",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.36, bodu=47, $$10 - 1\frac{1}{5} - (-16 + 10) + 10=\textcolor{white}{24{,}8}$$return {
["body"] = 47,
["id"] = "e3f61d_0421_1428",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 24.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 124,
["jmenovatel"] = 5 },
["render"] = "\\frac{124}{5}",
["typ"] = "cislo" },
["tex"] = "24\\frac{4}{5}",
["tex_float"] = "24{,}8",
["x"] = 24,
["y"] = 4,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-16 + 10",
["typ"] = "plus" },
["render"] = "(-16 + 10)",
["typ"] = "zavorka" },
["render"] = "10 - 1\\frac{1}{5} - (-16 + 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 - 1\\frac{1}{5} - (-16 + 10) + 10",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.37, bodu=30, $$\frac{(11 + (-10))^2}{\frac{11}{10}}=\textcolor{white}{\frac{10}{11}}$$return {
["body"] = 30,
["id"] = "BO7Mlw_0421_1428",
["obtiznost"] = 0.3708,
["reseni"] = {
["float"] = 0.90909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 11 },
["render"] = "\\frac{10}{11}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{11}",
["y"] = 10,
["z"] = 11 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.37",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(11 + (-10))^2}{\\frac{11}{10}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.38, bodu=15, $$10 \cdot 7 \cdot 13 \cdot 7=\textcolor{white}{6370}$$return {
["body"] = 15,
["id"] = "QdRs6S_0421_1428",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6370,
["jmenovatel"] = 1 },
["render"] = "\\frac{6370}{1}",
["typ"] = "cislo" },
["tex"] = "6370",
["tex_float"] = "6370",
["x"] = 6370 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 \\cdot 13",
["typ"] = "krat" },
["render"] = "10 \\cdot 7 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7 \\cdot 13 \\cdot 7",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.39, bodu=31, $$\frac{-12}{\frac{7}{-13 - 12}}=\textcolor{white}{42\frac{6}{7}}$$return {
["body"] = 31,
["id"] = "7V2rax_0421_1428",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 42.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 300,
["jmenovatel"] = 7 },
["render"] = "\\frac{-300}{-7}",
["typ"] = "cislo" },
["tex"] = "42\\frac{6}{7}",
["x"] = 42,
["y"] = 6,
["z"] = 7 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 - 12",
["typ"] = "minus" },
["render"] = "\\frac{7}{-13 - 12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{7}{-13 - 12}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.4, bodu=74, $$12 \cdot \frac{1\frac{2}{3}}{2\frac{2}{7}} \cdot 8=\textcolor{white}{70}$$return {
["body"] = 74,
["id"] = "KcxiHr_0421_1428",
["obtiznost"] = 0.8,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{280}{4}",
["typ"] = "cislo" },
["tex"] = "70",
["tex_float"] = "70",
["x"] = 70 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{1\\frac{2}{3}}{2\\frac{2}{7}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 \\cdot \\frac{1\\frac{2}{3}}{2\\frac{2}{7}} \\cdot 8",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.41, bodu=75, $$2\frac{4}{8} - 5 + (-9 \cdot \frac{2\frac{3}{8}}{-6})=\textcolor{white}{1\frac{1}{16}}$$return {
["body"] = 75,
["id"] = "nfdfxP_0421_1428",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 1.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 16 },
["render"] = "\\frac{34}{32}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{16}",
["x"] = 1,
["y"] = 1,
["z"] = 16 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{-6}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{2\\frac{3}{8}}{-6}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{8} - 5 + (-9 \\cdot \\frac{2\\frac{3}{8}}{-6})",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.42, bodu=53, $$\frac{11}{4\frac{1}{6}} \cdot \frac{8 + (-6)}{6}=\textcolor{white}{0{,}88}$$return {
["body"] = 53,
["id"] = "lCmf8o_0421_1428",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 0.88,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 25 },
["render"] = "\\frac{66}{75}",
["typ"] = "cislo" },
["tex"] = "\\frac{22}{25}",
["tex_float"] = "0{,}88",
["y"] = 22,
["z"] = 25 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 + (-6)}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{4\\frac{1}{6}} \\cdot \\frac{8 + (-6)}{6}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.43, bodu=35, $$-8 + \frac{8}{\frac{3 - 14}{8}}=\textcolor{white}{-13\frac{9}{11}}$$return {
["body"] = 35,
["id"] = "OM0T8m_0421_1428",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -13.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -152,
["jmenovatel"] = 11 },
["render"] = "\\frac{-152}{11}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{9}{11}",
["x"] = -13,
["y"] = 9,
["z"] = 11 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3 - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3 - 14}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{3 - 14}{8}}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{8}{\\frac{3 - 14}{8}}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.44, bodu=79, $$\frac{4}{4\frac{2}{8} \cdot (2\frac{2}{8} + 6 - (-8))}=\textcolor{white}{\frac{64}{1105}}$$return {
["body"] = 79,
["id"] = "xSRVER_0421_1428",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 0.057918552036199,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 1105 },
["render"] = "\\frac{64}{1105}",
["typ"] = "cislo" },
["tex"] = "\\frac{64}{1105}",
["y"] = 64,
["z"] = 1105 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} + 6 - (-8)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{8} + 6 - (-8))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{8} \\cdot (2\\frac{2}{8} + 6 - (-8))",
["typ"] = "krat" },
["render"] = "\\frac{4}{4\\frac{2}{8} \\cdot (2\\frac{2}{8} + 6 - (-8))}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.45, bodu=80, $$\frac{(-10 - (-9))^3}{3\frac{4}{9} - \frac{1\frac{3}{4}}{-7}}=\textcolor{white}{-\frac{36}{133}}$$return {
["body"] = 80,
["id"] = "XVuAxF_0421_1428",
["obtiznost"] = 0.8508,
["reseni"] = {
["float"] = -0.27067669172932,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 133 },
["render"] = "\\frac{-36}{133}",
["typ"] = "cislo" },
["tex"] = "-\\frac{36}{133}",
["y"] = -36,
["z"] = 133 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-10 - (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{4}}{-7}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{9} - \\frac{1\\frac{3}{4}}{-7}",
["typ"] = "minus" },
["render"] = "\\frac{(-10 - (-9))^3}{3\\frac{4}{9} - \\frac{1\\frac{3}{4}}{-7}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.46, bodu=108, $$(4\frac{1}{3} + 15) \cdot \frac{-8}{3\frac{3}{10}} - 4\frac{3}{7}=\textcolor{white}{-51\frac{206}{693}}$$return {
["body"] = 108,
["id"] = "JLIqQI_0421_1428",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -51.297258297258,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35549,
["jmenovatel"] = 693 },
["render"] = "\\frac{-35549}{693}",
["typ"] = "cislo" },
["tex"] = "-51\\frac{206}{693}",
["x"] = -51,
["y"] = 206,
["z"] = 693 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} + 15",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{3} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{1}{3} + 15) \\cdot \\frac{-8}{3\\frac{3}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{3} + 15) \\cdot \\frac{-8}{3\\frac{3}{10}} - 4\\frac{3}{7}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.47, bodu=83, $$1\frac{2}{7} - (-15 \cdot 9 + 1\frac{5}{11}) - (-13)=\textcolor{white}{147\frac{64}{77}}$$return {
["body"] = 83,
["id"] = "fRogV3_0421_1428",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 147.83116883117,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11383,
["jmenovatel"] = 77 },
["render"] = "\\frac{11383}{77}",
["typ"] = "cislo" },
["tex"] = "147\\frac{64}{77}",
["x"] = 147,
["y"] = 64,
["z"] = 77 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 9 + 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-15 \\cdot 9 + 1\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{7} - (-15 \\cdot 9 + 1\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - (-15 \\cdot 9 + 1\\frac{5}{11}) - (-13)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.48, bodu=111, $$\frac{4\frac{3}{8}}{3\frac{1}{7} - 10} \cdot (3\frac{2}{8} - 7)=\textcolor{white}{2\frac{201}{512}}$$return {
["body"] = 111,
["id"] = "9J7dZP_0421_1428",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 2.392578125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1225,
["jmenovatel"] = 512 },
["render"] = "\\frac{3675}{1536}",
["typ"] = "cislo" },
["tex"] = "2\\frac{201}{512}",
["x"] = 2,
["y"] = 201,
["z"] = 512 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 10",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{8}}{3\\frac{1}{7} - 10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 7",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{8}}{3\\frac{1}{7} - 10} \\cdot (3\\frac{2}{8} - 7)",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.49, bodu=61, $$(-12 + 14)^3 - \frac{-10 \cdot 4\frac{4}{8}}{-11}=\textcolor{white}{3\frac{10}{11}}$$return {
["body"] = 61,
["id"] = "SHdlgI_0421_1428",
["obtiznost"] = 0.6936,
["reseni"] = {
["float"] = 3.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 11 },
["render"] = "\\frac{43}{11}",
["typ"] = "cislo" },
["tex"] = "3\\frac{10}{11}",
["x"] = 3,
["y"] = 10,
["z"] = 11 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.49",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-12 + 14",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-12 + 14)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot 4\\frac{4}{8}}{-11}",
["typ"] = "lomeno" },
["render"] = "(-12 + 14)^3 - \\frac{-10 \\cdot 4\\frac{4}{8}}{-11}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.5, bodu=62, $$13 \cdot (2\frac{1}{4} - (-13)) \cdot 12 \cdot 12=\textcolor{white}{28548}$$return {
["body"] = 62,
["id"] = "Qj5L3a_0421_1428",
["obtiznost"] = 0.7,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28548,
["jmenovatel"] = 1 },
["render"] = "\\frac{28548}{1}",
["typ"] = "cislo" },
["tex"] = "28548",
["x"] = 28548 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - (-13)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - (-13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{4} - (-13)) \\cdot 12",
["typ"] = "krat" },
["render"] = "13 \\cdot (2\\frac{1}{4} - (-13)) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 \\cdot (2\\frac{1}{4} - (-13)) \\cdot 12 \\cdot 12",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.51, bodu=64, $$10 - (12 + 9 + 1\frac{5}{11}) + (13 - 15)^3=\textcolor{white}{-20\frac{5}{11}}$$return {
["body"] = 64,
["id"] = "gcBZFb_0421_1428",
["obtiznost"] = 0.7136,
["reseni"] = {
["float"] = -20.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 11 },
["render"] = "\\frac{-225}{11}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{5}{11}",
["x"] = -20,
["y"] = 5,
["z"] = 11 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "12 + 9 + 1\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(12 + 9 + 1\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "10 - (12 + 9 + 1\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 - 15",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 15)^3",
["typ"] = "mocnina" },
["render"] = "10 - (12 + 9 + 1\\frac{5}{11}) + (13 - 15)^3",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.52, bodu=21, $$10 \cdot -10 - (-13 + (-13 \cdot 12))=\textcolor{white}{69}$$return {
["body"] = 21,
["id"] = "91V5M7_0421_1428",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 1 },
["render"] = "\\frac{69}{1}",
["typ"] = "cislo" },
["tex"] = "69",
["x"] = 69 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.52",
["zadani"] = {
["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"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 12",
["typ"] = "krat" },
["render"] = "-13 + (-13 \\cdot 12)",
["typ"] = "plus" },
["render"] = "(-13 + (-13 \\cdot 12))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot -10 - (-13 + (-13 \\cdot 12))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.53, bodu=66, $$12 + (-13 \cdot (5 \cdot 1\frac{2}{9} + 5))=\textcolor{white}{-132\frac{4}{9}}$$return {
["body"] = 66,
["id"] = "ejHfNs_0421_1428",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -132.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1192,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1192}{9}",
["typ"] = "cislo" },
["tex"] = "-132\\frac{4}{9}",
["x"] = -132,
["y"] = 4,
["z"] = 9 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{2}{9} + 5",
["typ"] = "plus" },
["render"] = "(5 \\cdot 1\\frac{2}{9} + 5)",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (5 \\cdot 1\\frac{2}{9} + 5)",
["typ"] = "krat" },
["render"] = "12 + (-13 \\cdot (5 \\cdot 1\\frac{2}{9} + 5))",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.54, bodu=67, $$17 - \frac{-6 - (2\frac{5}{9} - 10)}{10}=\textcolor{white}{16\frac{77}{90}}$$return {
["body"] = 67,
["id"] = "Ka5Qge_0421_1428",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 16.855555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1517,
["jmenovatel"] = 90 },
["render"] = "\\frac{1517}{90}",
["typ"] = "cislo" },
["tex"] = "16\\frac{77}{90}",
["x"] = 16,
["y"] = 77,
["z"] = 90 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} - 10",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - 10)",
["typ"] = "zavorka" },
["render"] = "-6 - (2\\frac{5}{9} - 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - (2\\frac{5}{9} - 10)}{10}",
["typ"] = "lomeno" },
["render"] = "17 - \\frac{-6 - (2\\frac{5}{9} - 10)}{10}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.55, bodu=46, $$\frac{-4}{-7} \cdot -16 \cdot 9=\textcolor{white}{-82\frac{2}{7}}$$return {
["body"] = 46,
["id"] = "wccGWy_0421_1428",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -82.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -576,
["jmenovatel"] = 7 },
["render"] = "\\frac{-576}{7}",
["typ"] = "cislo" },
["tex"] = "-82\\frac{2}{7}",
["x"] = -82,
["y"] = 2,
["z"] = 7 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-7} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-7} \\cdot -16 \\cdot 9",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.56, bodu=69, $$-11 - (3\frac{2}{2} \cdot 2\frac{3}{8} \cdot 6 - (-15))=\textcolor{white}{-83}$$return {
["body"] = 69,
["id"] = "PzgukL_0421_1428",
["obtiznost"] = 0.76,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -83,
["jmenovatel"] = 1 },
["render"] = "\\frac{-83}{1}",
["typ"] = "cislo" },
["tex"] = "-83",
["x"] = -83 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{2}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{2} \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{2} \\cdot 2\\frac{3}{8} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{2} \\cdot 2\\frac{3}{8} \\cdot 6 - (-15)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{2} \\cdot 2\\frac{3}{8} \\cdot 6 - (-15))",
["typ"] = "zavorka" },
["render"] = "-11 - (3\\frac{2}{2} \\cdot 2\\frac{3}{8} \\cdot 6 - (-15))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.57, bodu=48, $$\frac{-18}{9 - 15 - 9} + 6=\textcolor{white}{7{,}2}$$return {
["body"] = 48,
["id"] = "lqmJTQ_0421_1428",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 7.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 5 },
["render"] = "\\frac{36}{5}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{5}",
["tex_float"] = "7{,}2",
["x"] = 7,
["y"] = 1,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 15 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-18}{9 - 15 - 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{9 - 15 - 9} + 6",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.58, bodu=155, $$\frac{\frac{\frac{4\frac{5}{8}}{2\frac{1}{4}}}{1\frac{1}{9}}}{3\frac{4}{9} - 12}=\textcolor{white}{-\frac{333}{1540}}$$return {
["body"] = 155,
["id"] = "BPBSW0_0421_1428",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -0.21623376623377,
["objekt"] = {
["hodnota"] = {
["citatel"] = -333,
["jmenovatel"] = 1540 },
["render"] = "\\frac{333}{-1540}",
["typ"] = "cislo" },
["tex"] = "-\\frac{333}{1540}",
["y"] = -333,
["z"] = 1540 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{8}}{2\\frac{1}{4}}}{1\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} - 12",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{\\frac{4\\frac{5}{8}}{2\\frac{1}{4}}}{1\\frac{1}{9}}}{3\\frac{4}{9} - 12}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.59, bodu=25, $$(-6 - 5 + (-10)) \cdot 12 \cdot -10=\textcolor{white}{2520}$$return {
["body"] = 25,
["id"] = "Igfek0_0421_1428",
["obtiznost"] = 0.59,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2520,
["jmenovatel"] = 1 },
["render"] = "\\frac{2520}{1}",
["typ"] = "cislo" },
["tex"] = "2520",
["x"] = 2520 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 - 5 + (-10)",
["typ"] = "plus" },
["render"] = "(-6 - 5 + (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 \\cdot -10",
["typ"] = "krat" },
["render"] = "(-6 - 5 + (-10)) \\cdot 12 \\cdot -10",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.6, bodu=104, $$(-13 - (2\frac{2}{8} - (-10))) \cdot (4 + 5)^2 - 3\frac{5}{14}=\textcolor{white}{-2048\frac{17}{28}}$$return {
["body"] = 104,
["id"] = "W6uKVp_0421_1428",
["obtiznost"] = 1.0328,
["reseni"] = {
["float"] = -2048.6071428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57361,
["jmenovatel"] = 28 },
["render"] = "\\frac{-114722}{56}",
["typ"] = "cislo" },
["tex"] = "-2048\\frac{17}{28}",
["x"] = -2048,
["y"] = 17,
["z"] = 28 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} - (-10)",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{8} - (-10))",
["typ"] = "zavorka" },
["render"] = "-13 - (2\\frac{2}{8} - (-10))",
["typ"] = "minus" },
["render"] = "(-13 - (2\\frac{2}{8} - (-10)))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 5)^2",
["typ"] = "mocnina" },
["render"] = "(-13 - (2\\frac{2}{8} - (-10))) \\cdot (4 + 5)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "(-13 - (2\\frac{2}{8} - (-10))) \\cdot (4 + 5)^2 - 3\\frac{5}{14}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.61, bodu=129, $$\frac{12 + 4\frac{5}{8}}{\frac{9}{8} + \frac{4\frac{5}{10}}{4\frac{2}{10}}}=\textcolor{white}{7\frac{70}{123}}$$return {
["body"] = 129,
["id"] = "EUfQyz_0421_1428",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 7.5691056910569,
["objekt"] = {
["hodnota"] = {
["citatel"] = 931,
["jmenovatel"] = 123 },
["render"] = "\\frac{7448}{984}",
["typ"] = "cislo" },
["tex"] = "7\\frac{70}{123}",
["x"] = 7,
["y"] = 70,
["z"] = 123 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{4\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{8} + \\frac{4\\frac{5}{10}}{4\\frac{2}{10}}",
["typ"] = "plus" },
["render"] = "\\frac{12 + 4\\frac{5}{8}}{\\frac{9}{8} + \\frac{4\\frac{5}{10}}{4\\frac{2}{10}}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.62, bodu=131, $$3\frac{3}{5} + 1\frac{2}{11} - 7 + 3\frac{3}{7} - (-13) - (-7 + (-14))=\textcolor{white}{35\frac{81}{385}}$$return {
["body"] = 131,
["id"] = "jEbs47_0421_1428",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 35.21038961039,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13556,
["jmenovatel"] = 385 },
["render"] = "\\frac{13556}{385}",
["typ"] = "cislo" },
["tex"] = "35\\frac{81}{385}",
["x"] = 35,
["y"] = 81,
["z"] = 385 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + 1\\frac{2}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + 1\\frac{2}{11} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} - (-13)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-7 + (-14)",
["typ"] = "plus" },
["render"] = "(-7 + (-14))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} - (-13) - (-7 + (-14))",
["typ"] = "minus" },
["render"] = "3\\frac{3}{5} + 1\\frac{2}{11} - 7 + 3\\frac{3}{7} - (-13) - (-7 + (-14))",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.63, bodu=104, $$\frac{-9}{-16 \cdot (2\frac{1}{5} - (-10))} \cdot 2\frac{2}{4}=\textcolor{white}{\frac{225}{1952}}$$return {
["body"] = 104,
["id"] = "UrVqhe_0421_1428",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 0.11526639344262,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 1952 },
["render"] = "\\frac{225}{1952}",
["typ"] = "cislo" },
["tex"] = "\\frac{225}{1952}",
["y"] = 225,
["z"] = 1952 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-10)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} - (-10))",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot (2\\frac{1}{5} - (-10))",
["typ"] = "krat" },
["render"] = "\\frac{-9}{-16 \\cdot (2\\frac{1}{5} - (-10))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-16 \\cdot (2\\frac{1}{5} - (-10))} \\cdot 2\\frac{2}{4}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.64, bodu=105, $$12 - 2\frac{3}{8} \cdot 8 \cdot 8 - 1\frac{3}{7}=\textcolor{white}{-141\frac{3}{7}}$$return {
["body"] = 105,
["id"] = "yX3c6n_0421_1428",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -141.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -990,
["jmenovatel"] = 7 },
["render"] = "\\frac{-990}{7}",
["typ"] = "cislo" },
["tex"] = "-141\\frac{3}{7}",
["x"] = -141,
["y"] = 3,
["z"] = 7 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 8 \\cdot 8",
["typ"] = "krat" },
["render"] = "12 - 2\\frac{3}{8} \\cdot 8 \\cdot 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{3}{8} \\cdot 8 \\cdot 8 - 1\\frac{3}{7}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.65, bodu=106, $$(\frac{8}{17} - 3\frac{3}{9} + 7) \cdot (3 + 2\frac{3}{5})=\textcolor{white}{23\frac{43}{255}}$$return {
["body"] = 106,
["id"] = "woCVbG_0421_1428",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 23.16862745098,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5908,
["jmenovatel"] = 255 },
["render"] = "\\frac{5908}{255}",
["typ"] = "cislo" },
["tex"] = "23\\frac{43}{255}",
["x"] = 23,
["y"] = 43,
["z"] = 255 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{8}{17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{17} - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{17} - 3\\frac{3}{9} + 7",
["typ"] = "plus" },
["render"] = "(\\frac{8}{17} - 3\\frac{3}{9} + 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3 + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(3 + 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{17} - 3\\frac{3}{9} + 7) \\cdot (3 + 2\\frac{3}{5})",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.66, bodu=108, $$4\frac{2}{7} \cdot 17 + \frac{11 \cdot 1\frac{1}{4}}{7}=\textcolor{white}{74\frac{23}{28}}$$return {
["body"] = 108,
["id"] = "0rGlkH_0421_1428",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 74.821428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2095,
["jmenovatel"] = 28 },
["render"] = "\\frac{14665}{196}",
["typ"] = "cislo" },
["tex"] = "74\\frac{23}{28}",
["x"] = 74,
["y"] = 23,
["z"] = 28 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{1}{4}}{7}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{7} \\cdot 17 + \\frac{11 \\cdot 1\\frac{1}{4}}{7}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.67, bodu=109, $$-13 \cdot \frac{15}{\frac{2\frac{5}{13}}{3\frac{1}{7}}} + (-10)=\textcolor{white}{-267\frac{1}{217}}$$return {
["body"] = 109,
["id"] = "IYbmL8_0421_1428",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -267.00460829493,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57940,
["jmenovatel"] = 217 },
["render"] = "\\frac{-57940}{217}",
["typ"] = "cislo" },
["tex"] = "-267\\frac{1}{217}",
["x"] = -267,
["y"] = 1,
["z"] = 217 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{\\frac{2\\frac{5}{13}}{3\\frac{1}{7}}}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{15}{\\frac{2\\frac{5}{13}}{3\\frac{1}{7}}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-13 \\cdot \\frac{15}{\\frac{2\\frac{5}{13}}{3\\frac{1}{7}}} + (-10)",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.68, bodu=60, $$-13 - \frac{-9}{\frac{18 \cdot -8}{10}}=\textcolor{white}{-13{,}625}$$return {
["body"] = 60,
["id"] = "kAxPhS_0421_1428",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -13.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -109,
["jmenovatel"] = 8 },
["render"] = "\\frac{-109}{8}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{5}{8}",
["tex_float"] = "-13{,}625",
["x"] = -13,
["y"] = 5,
["z"] = 8 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "18 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{18 \\cdot -8}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{18 \\cdot -8}{10}}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{-9}{\\frac{18 \\cdot -8}{10}}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.69, bodu=115, $$\frac{1\frac{2}{4}}{-17 \cdot (1\frac{5}{6} - (-12) - 13)^2}=\textcolor{white}{-\frac{54}{425}}$$return {
["body"] = 115,
["id"] = "3QZFgp_0421_1428",
["obtiznost"] = 1.1144,
["reseni"] = {
["float"] = -0.12705882352941,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 425 },
["render"] = "\\frac{108}{-850}",
["typ"] = "cislo" },
["tex"] = "-\\frac{54}{425}",
["y"] = -54,
["z"] = 425 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} - (-12) - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{6} - (-12) - 13)^2",
["typ"] = "mocnina" },
["render"] = "-17 \\cdot (1\\frac{5}{6} - (-12) - 13)^2",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{4}}{-17 \\cdot (1\\frac{5}{6} - (-12) - 13)^2}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.7, bodu=113, $$(8 \cdot 4\frac{3}{12} + 15) \cdot 1\frac{2}{4} \cdot -10=\textcolor{white}{-735}$$return {
["body"] = 113,
["id"] = "pmIw01_0421_1428",
["obtiznost"] = 1.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -735,
["jmenovatel"] = 1 },
["render"] = "\\frac{-735}{1}",
["typ"] = "cislo" },
["tex"] = "-735",
["tex_float"] = "-735",
["x"] = -735 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{3}{12} + 15",
["typ"] = "plus" },
["render"] = "(8 \\cdot 4\\frac{3}{12} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} \\cdot -10",
["typ"] = "krat" },
["render"] = "(8 \\cdot 4\\frac{3}{12} + 15) \\cdot 1\\frac{2}{4} \\cdot -10",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.71, bodu=83, $$\frac{-12}{(\frac{-17}{11})^2} + 10 + (-21) + 11=\textcolor{white}{-5\frac{7}{289}}$$return {
["body"] = 83,
["id"] = "RiFYCL_0421_1428",
["obtiznost"] = 0.874,
["reseni"] = {
["float"] = -5.0242214532872,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1452,
["jmenovatel"] = 289 },
["render"] = "\\frac{-1452}{289}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{7}{289}",
["x"] = -5,
["y"] = 7,
["z"] = 289 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-17}{11})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-12}{(\\frac{-17}{11})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "10 + (-21)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + (-21) + 11",
["typ"] = "plus" },
["render"] = "\\frac{-12}{(\\frac{-17}{11})^2} + 10 + (-21) + 11",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.72, bodu=116, $$3\frac{1}{5} \cdot -10 - (18 + 3\frac{5}{10} + \frac{-7}{-20})=\textcolor{white}{-53{,}85}$$return {
["body"] = 116,
["id"] = "84LVwv_0421_1428",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -53.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1077,
["jmenovatel"] = 20 },
["render"] = "\\frac{-1077}{20}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{17}{20}",
["tex_float"] = "-53{,}85",
["x"] = -53,
["y"] = 17,
["z"] = 20 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-20}",
["typ"] = "lomeno" },
["render"] = "18 + 3\\frac{5}{10} + \\frac{-7}{-20}",
["typ"] = "plus" },
["render"] = "(18 + 3\\frac{5}{10} + \\frac{-7}{-20})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{5} \\cdot -10 - (18 + 3\\frac{5}{10} + \\frac{-7}{-20})",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.73, bodu=118, $$14 \cdot (-16 + (-14) - 4\frac{3}{10}) \cdot 9 \cdot 4\frac{4}{13}=\textcolor{white}{-18616\frac{64}{65}}$$return {
["body"] = 118,
["id"] = "2qelKp_0421_1428",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -18616.984615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1210104,
["jmenovatel"] = 65 },
["render"] = "\\frac{-1210104}{65}",
["typ"] = "cislo" },
["tex"] = "-18616\\frac{64}{65}",
["x"] = -18616,
["y"] = 64,
["z"] = 65 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-16 + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-16 + (-14) - 4\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-16 + (-14) - 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (-16 + (-14) - 4\\frac{3}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "14 \\cdot (-16 + (-14) - 4\\frac{3}{10}) \\cdot 9 \\cdot 4\\frac{4}{13}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.74, bodu=119, $$-7 + (-6 + 5)^3 - \frac{3\frac{2}{8}}{1\frac{3}{10} - 14 + (-3)}=\textcolor{white}{-7\frac{249}{314}}$$return {
["body"] = 119,
["id"] = "mlPSyn_0421_1428",
["obtiznost"] = 1.1408,
["reseni"] = {
["float"] = -7.7929936305732,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2447,
["jmenovatel"] = 314 },
["render"] = "\\frac{-2447}{314}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{249}{314}",
["x"] = -7,
["y"] = 249,
["z"] = 314 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 + 5",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-6 + 5)^3",
["typ"] = "mocnina" },
["render"] = "-7 + (-6 + 5)^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 14 + (-3)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{8}}{1\\frac{3}{10} - 14 + (-3)}",
["typ"] = "lomeno" },
["render"] = "-7 + (-6 + 5)^3 - \\frac{3\\frac{2}{8}}{1\\frac{3}{10} - 14 + (-3)}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.75, bodu=80, $$\frac{((-7 + 6)^2 \cdot -16)^2 \cdot -14}{20}=\textcolor{white}{-179{,}2}$$return {
["body"] = 80,
["id"] = "uytf1r_0421_1428",
["obtiznost"] = 0.8536,
["reseni"] = {
["float"] = -179.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -896,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3584}{20}",
["typ"] = "cislo" },
["tex"] = "-179\\frac{1}{5}",
["tex_float"] = "-179{,}2",
["x"] = -179,
["y"] = 1,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(-7 + 6)^2 \\cdot -16",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-7 + 6)^2 \\cdot -16)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "((-7 + 6)^2 \\cdot -16)^2 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{((-7 + 6)^2 \\cdot -16)^2 \\cdot -14}{20}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.76, bodu=122, $$\frac{15 + 2\frac{2}{5} + 3\frac{2}{5}}{-15} \cdot 8 \cdot 16=\textcolor{white}{-177\frac{37}{75}}$$return {
["body"] = 122,
["id"] = "VzCChU_0421_1428",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -177.49333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13312,
["jmenovatel"] = 75 },
["render"] = "\\frac{-13312}{75}",
["typ"] = "cislo" },
["tex"] = "-177\\frac{37}{75}",
["x"] = -177,
["y"] = 37,
["z"] = 75 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{2}{5} + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{15 + 2\\frac{2}{5} + 3\\frac{2}{5}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "8 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{15 + 2\\frac{2}{5} + 3\\frac{2}{5}}{-15} \\cdot 8 \\cdot 16",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.77, bodu=96, $$((-14 - (-16))^4 + 4\frac{5}{13} + 5 \cdot 15) \cdot -11=\textcolor{white}{-1049\frac{3}{13}}$$return {
["body"] = 96,
["id"] = "mkPBQr_0421_1428",
["obtiznost"] = 0.9768,
["reseni"] = {
["float"] = -1049.2307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13640,
["jmenovatel"] = 13 },
["render"] = "\\frac{-13640}{13}",
["typ"] = "cislo" },
["tex"] = "-1049\\frac{3}{13}",
["x"] = -1049,
["y"] = 3,
["z"] = 13 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-14 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-14 - (-16))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "(-14 - (-16))^4 + 4\\frac{5}{13}",
["typ"] = "plus" },
["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"] = "(-14 - (-16))^4 + 4\\frac{5}{13} + 5 \\cdot 15",
["typ"] = "plus" },
["render"] = "((-14 - (-16))^4 + 4\\frac{5}{13} + 5 \\cdot 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "((-14 - (-16))^4 + 4\\frac{5}{13} + 5 \\cdot 15) \\cdot -11",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.78, bodu=178, $$-13 \cdot (10 - \frac{(2\frac{2}{4} + (-17))^2}{-14}) - 4\frac{1}{5}=\textcolor{white}{-329\frac{121}{280}}$$return {
["body"] = 178,
["id"] = "7JMJjt_0421_1428",
["obtiznost"] = 1.518,
["reseni"] = {
["float"] = -329.43214285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92241,
["jmenovatel"] = 280 },
["render"] = "\\frac{-92241}{280}",
["typ"] = "cislo" },
["tex"] = "-329\\frac{121}{280}",
["x"] = -329,
["y"] = 121,
["z"] = 280 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{4} + (-17))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{2}{4} + (-17))^2}{-14}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{(2\\frac{2}{4} + (-17))^2}{-14}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{(2\\frac{2}{4} + (-17))^2}{-14})",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (10 - \\frac{(2\\frac{2}{4} + (-17))^2}{-14})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot (10 - \\frac{(2\\frac{2}{4} + (-17))^2}{-14}) - 4\\frac{1}{5}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.79, bodu=190, $$(1\frac{1}{9} - (-7)) \cdot (1\frac{2}{5} \cdot 4\frac{1}{3} + (-14 - 4\frac{5}{9}))=\textcolor{white}{-101\frac{121}{405}}$$return {
["body"] = 190,
["id"] = "PKlwQz_0421_1428",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -101.2987654321,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41026,
["jmenovatel"] = 405 },
["render"] = "\\frac{-41026}{405}",
["typ"] = "cislo" },
["tex"] = "-101\\frac{121}{405}",
["x"] = -101,
["y"] = 121,
["z"] = 405 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} - (-7)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{9} - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot 4\\frac{1}{3}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{5} \\cdot 4\\frac{1}{3} + (-14 - 4\\frac{5}{9})",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{5} \\cdot 4\\frac{1}{3} + (-14 - 4\\frac{5}{9}))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{1}{9} - (-7)) \\cdot (1\\frac{2}{5} \\cdot 4\\frac{1}{3} + (-14 - 4\\frac{5}{9}))",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.8, bodu=192, $$\frac{3\frac{4}{5}}{-13} \cdot 3\frac{5}{12} \cdot 4\frac{4}{12} - (-16 + 4\frac{3}{11})=\textcolor{white}{7\frac{791}{1980}}$$return {
["body"] = 192,
["id"] = "NHBMH9_0421_1428",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = 7.3994949494949,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14651,
["jmenovatel"] = 1980 },
["render"] = "\\frac{14651}{1980}",
["typ"] = "cislo" },
["tex"] = "7\\frac{791}{1980}",
["x"] = 7,
["y"] = 791,
["z"] = 1980 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{-13} \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{-13} \\cdot 3\\frac{5}{12} \\cdot 4\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-16 + 4\\frac{3}{11}",
["typ"] = "plus" },
["render"] = "(-16 + 4\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{4}{5}}{-13} \\cdot 3\\frac{5}{12} \\cdot 4\\frac{4}{12} - (-16 + 4\\frac{3}{11})",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.81, bodu=160, $$\frac{3\frac{2}{3}}{\frac{-17}{2\frac{3}{6}}} \cdot \frac{5}{3\frac{2}{9}}=\textcolor{white}{-\frac{825}{986}}$$return {
["body"] = 160,
["id"] = "kdJyfi_0421_1428",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -0.8367139959432,
["objekt"] = {
["hodnota"] = {
["citatel"] = -825,
["jmenovatel"] = 986 },
["render"] = "\\frac{-2475}{2958}",
["typ"] = "cislo" },
["tex"] = "-\\frac{825}{986}",
["y"] = -825,
["z"] = 986 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{3}}{\\frac{-17}{2\\frac{3}{6}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{3}}{\\frac{-17}{2\\frac{3}{6}}} \\cdot \\frac{5}{3\\frac{2}{9}}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.82, bodu=131, $$(-18 - \frac{\frac{13}{4\frac{4}{9}}}{-14}) \cdot \frac{2\frac{4}{7}}{-6}=\textcolor{white}{7\frac{2449}{3920}}$$return {
["body"] = 131,
["id"] = "1lHNQr_0421_1428",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 7.6247448979592,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29889,
["jmenovatel"] = 3920 },
["render"] = "\\frac{29889}{3920}",
["typ"] = "cislo" },
["tex"] = "7\\frac{2449}{3920}",
["x"] = 7,
["y"] = 2449,
["z"] = 3920 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{4\\frac{4}{9}}}{-14}",
["typ"] = "lomeno" },
["render"] = "-18 - \\frac{\\frac{13}{4\\frac{4}{9}}}{-14}",
["typ"] = "minus" },
["render"] = "(-18 - \\frac{\\frac{13}{4\\frac{4}{9}}}{-14})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{-6}",
["typ"] = "lomeno" },
["render"] = "(-18 - \\frac{\\frac{13}{4\\frac{4}{9}}}{-14}) \\cdot \\frac{2\\frac{4}{7}}{-6}",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.83, bodu=132, $$\frac{-16}{1\frac{1}{7}} - (9 - (-18) - (2\frac{2}{10} + (-12) + (-16)))=\textcolor{white}{-66{,}8}$$return {
["body"] = 132,
["id"] = "LyJNtV_0421_1428",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -66.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -334,
["jmenovatel"] = 5 },
["render"] = "\\frac{-334}{5}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{4}{5}",
["tex_float"] = "-66{,}8",
["x"] = -66,
["y"] = 4,
["z"] = 5 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "9 - (-18)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} + (-12) + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{10} + (-12) + (-16))",
["typ"] = "zavorka" },
["render"] = "9 - (-18) - (2\\frac{2}{10} + (-12) + (-16))",
["typ"] = "minus" },
["render"] = "(9 - (-18) - (2\\frac{2}{10} + (-12) + (-16)))",
["typ"] = "zavorka" },
["render"] = "\\frac{-16}{1\\frac{1}{7}} - (9 - (-18) - (2\\frac{2}{10} + (-12) + (-16)))",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.84, bodu=165, $$\frac{(19 + 17) \cdot 4\frac{2}{11}}{\frac{1\frac{3}{7}}{3\frac{4}{9} + (-20)}}=\textcolor{white}{-1744\frac{36}{55}}$$return {
["body"] = 165,
["id"] = "VekhKx_0421_1428",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -1744.6545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95956,
["jmenovatel"] = 55 },
["render"] = "\\frac{1727208}{-990}",
["typ"] = "cislo" },
["tex"] = "-1744\\frac{36}{55}",
["x"] = -1744,
["y"] = 36,
["z"] = 55 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "19 + 17",
["typ"] = "plus" },
["render"] = "(19 + 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "(19 + 17) \\cdot 4\\frac{2}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + (-20)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{3}{7}}{3\\frac{4}{9} + (-20)}",
["typ"] = "lomeno" },
["render"] = "\\frac{(19 + 17) \\cdot 4\\frac{2}{11}}{\\frac{1\\frac{3}{7}}{3\\frac{4}{9} + (-20)}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.85, bodu=80, $$15 - (-16 + \frac{\frac{15}{22}}{-14}) - (-19)=\textcolor{white}{50\frac{15}{308}}$$return {
["body"] = 80,
["id"] = "hcnWZL_0421_1428",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 50.048701298701,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15415,
["jmenovatel"] = 308 },
["render"] = "\\frac{15415}{308}",
["typ"] = "cislo" },
["tex"] = "50\\frac{15}{308}",
["x"] = 50,
["y"] = 15,
["z"] = 308 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{15}{22}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{22}}{-14}",
["typ"] = "lomeno" },
["render"] = "-16 + \\frac{\\frac{15}{22}}{-14}",
["typ"] = "plus" },
["render"] = "(-16 + \\frac{\\frac{15}{22}}{-14})",
["typ"] = "zavorka" },
["render"] = "15 - (-16 + \\frac{\\frac{15}{22}}{-14})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "15 - (-16 + \\frac{\\frac{15}{22}}{-14}) - (-19)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.86, bodu=202, $$\frac{3\frac{2}{4}}{1\frac{4}{10}} - (16 - (-10) + 2\frac{5}{11} + 1\frac{5}{14} - 12)=\textcolor{white}{-15\frac{24}{77}}$$return {
["body"] = 202,
["id"] = "47XX2e_0421_1428",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -15.311688311688,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1179,
["jmenovatel"] = 77 },
["render"] = "\\frac{-4716}{308}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{24}{77}",
["x"] = -15,
["y"] = 24,
["z"] = 77 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{4}}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "16 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{14} - 12",
["typ"] = "minus" },
["render"] = "2\\frac{5}{11} + 1\\frac{5}{14} - 12",
["typ"] = "plus" },
["render"] = "16 - (-10) + 2\\frac{5}{11} + 1\\frac{5}{14} - 12",
["typ"] = "plus" },
["render"] = "(16 - (-10) + 2\\frac{5}{11} + 1\\frac{5}{14} - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{4}}{1\\frac{4}{10}} - (16 - (-10) + 2\\frac{5}{11} + 1\\frac{5}{14} - 12)",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.87, bodu=138, $$\frac{\frac{13}{14}}{\frac{21}{3\frac{4}{9} - 5 \cdot 2\frac{4}{10}}}=\textcolor{white}{-\frac{143}{378}}$$return {
["body"] = 138,
["id"] = "hFCKQg_0421_1428",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -0.37830687830688,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 378 },
["render"] = "\\frac{143}{-378}",
["typ"] = "cislo" },
["tex"] = "-\\frac{143}{378}",
["y"] = -143,
["z"] = 378 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{13}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{9} - 5 \\cdot 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "\\frac{21}{3\\frac{4}{9} - 5 \\cdot 2\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{13}{14}}{\\frac{21}{3\\frac{4}{9} - 5 \\cdot 2\\frac{4}{10}}}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.88, bodu=271, $$16 - (((\frac{13}{13})^3 + 3\frac{4}{8})^3 - (4\frac{4}{12} - 2\frac{3}{6})^2 - 2\frac{1}{9})=\textcolor{white}{-69\frac{47}{72}}$$return {
["body"] = 271,
["id"] = "G0c3R9_0421_1428",
["obtiznost"] = 2.0384,
["reseni"] = {
["float"] = -69.652777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5015,
["jmenovatel"] = 72 },
["render"] = "\\frac{-5015}{72}",
["typ"] = "cislo" },
["tex"] = "-69\\frac{47}{72}",
["x"] = -69,
["y"] = 47,
["z"] = 72 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{13}{13}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{13}{13})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{13}{13})^3 + 3\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "((\\frac{13}{13})^3 + 3\\frac{4}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 2\\frac{3}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{12} - 2\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "((\\frac{13}{13})^3 + 3\\frac{4}{8})^3 - (4\\frac{4}{12} - 2\\frac{3}{6})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "((\\frac{13}{13})^3 + 3\\frac{4}{8})^3 - (4\\frac{4}{12} - 2\\frac{3}{6})^2 - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "(((\\frac{13}{13})^3 + 3\\frac{4}{8})^3 - (4\\frac{4}{12} - 2\\frac{3}{6})^2 - 2\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "16 - (((\\frac{13}{13})^3 + 3\\frac{4}{8})^3 - (4\\frac{4}{12} - 2\\frac{3}{6})^2 - 2\\frac{1}{9})",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.89, bodu=207, $$\frac{4\frac{2}{11} + 4\frac{2}{8} + 3\frac{5}{7} + (-5)}{3\frac{1}{10} - (-15 \cdot 24)}=\textcolor{white}{\frac{11005}{559174}}$$return {
["body"] = 207,
["id"] = "MdDiKY_0421_1428",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 0.019680814916287,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11005,
["jmenovatel"] = 559174 },
["render"] = "\\frac{22010}{1118348}",
["typ"] = "cislo" },
["tex"] = "\\frac{11005}{559174}",
["y"] = 11005,
["z"] = 559174 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} + (-5)",
["typ"] = "plus" },
["render"] = "4\\frac{2}{8} + 3\\frac{5}{7} + (-5)",
["typ"] = "plus" },
["render"] = "4\\frac{2}{11} + 4\\frac{2}{8} + 3\\frac{5}{7} + (-5)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 24",
["typ"] = "krat" },
["render"] = "3\\frac{1}{10} - (-15 \\cdot 24)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{11} + 4\\frac{2}{8} + 3\\frac{5}{7} + (-5)}{3\\frac{1}{10} - (-15 \\cdot 24)}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.9, bodu=175, $$-18 \cdot (-17 + (-12 \cdot (1\frac{2}{6} + 3\frac{5}{6} \cdot 12)) - 1\frac{3}{9})=\textcolor{white}{10554}$$return {
["body"] = 175,
["id"] = "9H1Jnf_0421_1428",
["obtiznost"] = 1.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10554,
["jmenovatel"] = 1 },
["render"] = "\\frac{31662}{3}",
["typ"] = "cislo" },
["tex"] = "10554",
["x"] = 10554 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{6} \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12)",
["typ"] = "krat" },
["render"] = "-17 + (-12 \\cdot (1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-17 + (-12 \\cdot (1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12)) - 1\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(-17 + (-12 \\cdot (1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12)) - 1\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (-17 + (-12 \\cdot (1\\frac{2}{6} + 3\\frac{5}{6} \\cdot 12)) - 1\\frac{3}{9})",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.91, bodu=176, $$\frac{\frac{3\frac{3}{11}}{3\frac{1}{8} \cdot -14 \cdot 3\frac{2}{3}}}{13}=\textcolor{white}{-\frac{432}{275275}}$$return {
["body"] = 176,
["id"] = "y2qjMu_0421_1428",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -0.0015693397511579,
["objekt"] = {
["hodnota"] = {
["citatel"] = -432,
["jmenovatel"] = 275275 },
["render"] = "\\frac{-432}{275275}",
["typ"] = "cislo" },
["tex"] = "-\\frac{432}{275275}",
["y"] = -432,
["z"] = 275275 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 3\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{8} \\cdot -14 \\cdot 3\\frac{2}{3}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{11}}{3\\frac{1}{8} \\cdot -14 \\cdot 3\\frac{2}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{11}}{3\\frac{1}{8} \\cdot -14 \\cdot 3\\frac{2}{3}}}{13}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.92, bodu=146, $$4\frac{3}{8} - (-7 - 4\frac{2}{13}) \cdot (-19 + (-19)) \cdot -11=\textcolor{white}{4666\frac{71}{104}}$$return {
["body"] = 146,
["id"] = "Iupt8I_0421_1428",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 4666.6826923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 485335,
["jmenovatel"] = 104 },
["render"] = "\\frac{485335}{104}",
["typ"] = "cislo" },
["tex"] = "4666\\frac{71}{104}",
["x"] = 4666,
["y"] = 71,
["z"] = 104 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 54,
["jmenovatel"] = 13 },
["render"] = "4\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "-7 - 4\\frac{2}{13}",
["typ"] = "minus" },
["render"] = "(-7 - 4\\frac{2}{13})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-19 + (-19)",
["typ"] = "plus" },
["render"] = "(-19 + (-19))",
["typ"] = "zavorka" },
["render"] = "(-7 - 4\\frac{2}{13}) \\cdot (-19 + (-19))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-7 - 4\\frac{2}{13}) \\cdot (-19 + (-19)) \\cdot -11",
["typ"] = "krat" },
["render"] = "4\\frac{3}{8} - (-7 - 4\\frac{2}{13}) \\cdot (-19 + (-19)) \\cdot -11",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.93, bodu=164, $$(\frac{4\frac{2}{8}}{-17})^4 \cdot (18 + \frac{1\frac{4}{12}}{13} - 11)=\textcolor{white}{\frac{277}{9984}}$$return {
["body"] = 164,
["id"] = "VQI49X_0421_1428",
["obtiznost"] = 1.4328,
["reseni"] = {
["float"] = 0.027744391025641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 277,
["jmenovatel"] = 9984 },
["render"] = "\\frac{277}{9984}",
["typ"] = "cislo" },
["tex"] = "\\frac{277}{9984}",
["y"] = 277,
["z"] = 9984 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.93",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{8}}{-17}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{2}{8}}{-17})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12}}{13}",
["typ"] = "lomeno" },
["render"] = "18 + \\frac{1\\frac{4}{12}}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "18 + \\frac{1\\frac{4}{12}}{13} - 11",
["typ"] = "minus" },
["render"] = "(18 + \\frac{1\\frac{4}{12}}{13} - 11)",
["typ"] = "zavorka" },
["render"] = "(\\frac{4\\frac{2}{8}}{-17})^4 \\cdot (18 + \\frac{1\\frac{4}{12}}{13} - 11)",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.94, bodu=322, $$3\frac{1}{7} + 4\frac{1}{7} + 13 - 3 + (1\frac{2}{4} - 2\frac{3}{10})^4 \cdot 4\frac{3}{10}=\textcolor{white}{19\frac{1028}{21875}}$$return {
["body"] = 322,
["id"] = "T1ReJW_0421_1428",
["obtiznost"] = 2.2924,
["reseni"] = {
["float"] = 19.046994285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 416653,
["jmenovatel"] = 21875 },
["render"] = "\\frac{416653}{21875}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1028}{21875}",
["x"] = 19,
["y"] = 1028,
["z"] = 21875 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "13 - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} - 2\\frac{3}{10}",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(1\\frac{2}{4} - 2\\frac{3}{10})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{4} - 2\\frac{3}{10})^4 \\cdot 4\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "13 - 3 + (1\\frac{2}{4} - 2\\frac{3}{10})^4 \\cdot 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "3\\frac{1}{7} + 4\\frac{1}{7} + 13 - 3 + (1\\frac{2}{4} - 2\\frac{3}{10})^4 \\cdot 4\\frac{3}{10}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.95, bodu=183, $$(3\frac{5}{16} - 4\frac{5}{15} - \frac{7}{-23}) \cdot (4\frac{5}{11} + (-17))=\textcolor{white}{8\frac{87}{88}}$$return {
["body"] = 183,
["id"] = "BqUZlg_0421_1428",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 8.9886363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 791,
["jmenovatel"] = 88 },
["render"] = "\\frac{109158}{12144}",
["typ"] = "cislo" },
["tex"] = "8\\frac{87}{88}",
["x"] = 8,
["y"] = 87,
["z"] = 88 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 16 },
["render"] = "3\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{16} - 4\\frac{5}{15}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-23}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{16} - 4\\frac{5}{15} - \\frac{7}{-23}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{16} - 4\\frac{5}{15} - \\frac{7}{-23})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + (-17)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + (-17))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{5}{16} - 4\\frac{5}{15} - \\frac{7}{-23}) \\cdot (4\\frac{5}{11} + (-17))",
["typ"] = "krat" } }
seed: vv5B9LygCcMbwpX9jW99_0.96, bodu=187, $$\frac{1\frac{4}{6} - (4\frac{2}{6} + 16)}{(\frac{2\frac{5}{10} \cdot 24}{17 + 7})^2}=\textcolor{white}{-2\frac{74}{75}}$$return {
["body"] = 187,
["id"] = "vE5Ewy_0421_1428",
["obtiznost"] = 1.5716,
["reseni"] = {
["float"] = -2.9866666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -224,
["jmenovatel"] = 75 },
["render"] = "\\frac{-224}{75}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{74}{75}",
["x"] = -2,
["y"] = 74,
["z"] = 75 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 16",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 16)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{6} - (4\\frac{2}{6} + 16)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} \\cdot 24",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "17 + 7",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{5}{10} \\cdot 24}{17 + 7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{10} \\cdot 24}{17 + 7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{4}{6} - (4\\frac{2}{6} + 16)}{(\\frac{2\\frac{5}{10} \\cdot 24}{17 + 7})^2}",
["typ"] = "lomeno" } }
seed: vv5B9LygCcMbwpX9jW99_0.97, bodu=187, $$\frac{-11}{1\frac{2}{9} - 2\frac{5}{12}} - 17 - 10 \cdot 1\frac{2}{4}=\textcolor{white}{-22\frac{34}{43}}$$return {
["body"] = 187,
["id"] = "kEmfLd_0421_1428",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -22.790697674419,
["objekt"] = {
["hodnota"] = {
["citatel"] = -980,
["jmenovatel"] = 43 },
["render"] = "\\frac{-980}{43}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{34}{43}",
["x"] = -22,
["y"] = 34,
["z"] = 43 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} - 2\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "\\frac{-11}{1\\frac{2}{9} - 2\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{1\\frac{2}{9} - 2\\frac{5}{12}} - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{-11}{1\\frac{2}{9} - 2\\frac{5}{12}} - 17 - 10 \\cdot 1\\frac{2}{4}",
["typ"] = "minus" } }
seed: vv5B9LygCcMbwpX9jW99_0.98, bodu=270, $$(23 + (-18))^4 + 4\frac{3}{7} \cdot (3\frac{4}{10} + 16 \cdot 1\frac{2}{7}) - 1\frac{2}{9}=\textcolor{white}{729\frac{2066}{2205}}$$return {
["body"] = 270,
["id"] = "6FjyP9_0421_1428",
["obtiznost"] = 2.0304,
["reseni"] = {
["float"] = 729.93696145125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1609511,
["jmenovatel"] = 2205 },
["render"] = "\\frac{1609511}{2205}",
["typ"] = "cislo" },
["tex"] = "729\\frac{2066}{2205}",
["x"] = 729,
["y"] = 2066,
["z"] = 2205 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.98",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "23 + (-18)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(23 + (-18))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{10} + 16 \\cdot 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} + 16 \\cdot 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} \\cdot (3\\frac{4}{10} + 16 \\cdot 1\\frac{2}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot (3\\frac{4}{10} + 16 \\cdot 1\\frac{2}{7}) - 1\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(23 + (-18))^4 + 4\\frac{3}{7} \\cdot (3\\frac{4}{10} + 16 \\cdot 1\\frac{2}{7}) - 1\\frac{2}{9}",
["typ"] = "plus" } }
seed: vv5B9LygCcMbwpX9jW99_0.99, bodu=190, $$4\frac{3}{7} - (-11 \cdot (18 \cdot (-17 + 1\frac{1}{8}) - 1\frac{5}{12}))=\textcolor{white}{-3154\frac{17}{42}}$$return {
["body"] = 190,
["id"] = "bx1J6r_0421_1428",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -3154.4047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = -132485,
["jmenovatel"] = 42 },
["render"] = "\\frac{-132485}{42}",
["typ"] = "cislo" },
["tex"] = "-3154\\frac{17}{42}",
["x"] = -3154,
["y"] = 17,
["z"] = 42 },
["seed"] = "vv5B9LygCcMbwpX9jW99_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-17 + 1\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(-17 + 1\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (-17 + 1\\frac{1}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "18 \\cdot (-17 + 1\\frac{1}{8}) - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(18 \\cdot (-17 + 1\\frac{1}{8}) - 1\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (18 \\cdot (-17 + 1\\frac{1}{8}) - 1\\frac{5}{12})",
["typ"] = "krat" },
["render"] = "4\\frac{3}{7} - (-11 \\cdot (18 \\cdot (-17 + 1\\frac{1}{8}) - 1\\frac{5}{12}))",
["typ"] = "minus" } }
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5ba.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
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ecstatic.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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poehler.gif: 
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