- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 3Pb7StSMVQRmEb8b0xar_0, bodu=5, $$6 + 5 \cdot 8 + 4=\textcolor{white}{50}$$return {
["body"] = 5,
["id"] = "6KizNe_0404_0459",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 1 },
["render"] = "\\frac{50}{1}",
["typ"] = "cislo" },
["tex"] = "50",
["x"] = 50 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8 + 4",
["typ"] = "plus" },
["render"] = "6 + 5 \\cdot 8 + 4",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.01, bodu=5, $$8 \cdot (8 \cdot -6 + 5)=\textcolor{white}{-344}$$return {
["body"] = 5,
["id"] = "YAKChx_0404_0459",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -344,
["jmenovatel"] = 1 },
["render"] = "\\frac{-344}{1}",
["typ"] = "cislo" },
["tex"] = "-344",
["tex_float"] = "-344",
["x"] = -344 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot -6 + 5",
["typ"] = "plus" },
["render"] = "(8 \\cdot -6 + 5)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (8 \\cdot -6 + 5)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.02, bodu=5, $$5 - 6 - (-7 - 7)=\textcolor{white}{13}$$return {
["body"] = 5,
["id"] = "F7kIyv_0404_0459",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{13}{1}",
["typ"] = "cislo" },
["tex"] = "13",
["x"] = 13 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7",
["typ"] = "minus" },
["render"] = "(-7 - 7)",
["typ"] = "zavorka" },
["render"] = "5 - 6 - (-7 - 7)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.03, bodu=10, $$\frac{7}{10} - (8 + 5)=\textcolor{white}{-12{,}3}$$return {
["body"] = 10,
["id"] = "aCSPqj_0404_0459",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -12.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -123,
["jmenovatel"] = 10 },
["render"] = "\\frac{-123}{10}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3}{10}",
["tex_float"] = "-12{,}3",
["x"] = -12,
["y"] = 3,
["z"] = 10 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{7}{10} - (8 + 5)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.04, bodu=5, $$4 - (7 - 7 - 5)=\textcolor{white}{9}$$return {
["body"] = 5,
["id"] = "bX3VZF_0404_0459",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{9}{1}",
["typ"] = "cislo" },
["tex"] = "9",
["x"] = 9 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 7 - 5",
["typ"] = "minus" },
["render"] = "(7 - 7 - 5)",
["typ"] = "zavorka" },
["render"] = "4 - (7 - 7 - 5)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.05, bodu=12, $$-10 + 3 - (\frac{-4}{6})^4=\textcolor{white}{-7\frac{16}{81}}$$return {
["body"] = 12,
["id"] = "4kusdh_0404_0459",
["obtiznost"] = 0.0888,
["reseni"] = {
["float"] = -7.1975308641975,
["objekt"] = {
["hodnota"] = {
["citatel"] = -583,
["jmenovatel"] = 81 },
["render"] = "\\frac{-583}{81}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{16}{81}",
["x"] = -7,
["y"] = 16,
["z"] = 81 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-4}{6})^4",
["typ"] = "mocnina" },
["render"] = "3 - (\\frac{-4}{6})^4",
["typ"] = "minus" },
["render"] = "-10 + 3 - (\\frac{-4}{6})^4",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.06, bodu=11, $$(\frac{9}{6} + 7) \cdot 7=\textcolor{white}{59{,}5}$$return {
["body"] = 11,
["id"] = "XP9O2d_0404_0459",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 59.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119,
["jmenovatel"] = 2 },
["render"] = "\\frac{119}{2}",
["typ"] = "cislo" },
["tex"] = "59\\frac{1}{2}",
["tex_float"] = "59{,}5",
["x"] = 59,
["y"] = 1,
["z"] = 2 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6} + 7",
["typ"] = "plus" },
["render"] = "(\\frac{9}{6} + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{6} + 7) \\cdot 7",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.07, bodu=11, $$\frac{9}{7 \cdot -10}=\textcolor{white}{-\frac{9}{70}}$$return {
["body"] = 11,
["id"] = "DoSP67_0404_0459",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.12857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 70 },
["render"] = "\\frac{9}{-70}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{70}",
["y"] = -9,
["z"] = 70 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{9}{7 \\cdot -10}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.08, bodu=13, $$(\frac{5 - 6}{-8})^2 - 6=\textcolor{white}{-5\frac{63}{64}}$$return {
["body"] = 13,
["id"] = "s19efN_0404_0459",
["obtiznost"] = 0.106,
["reseni"] = {
["float"] = -5.984375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -383,
["jmenovatel"] = 64 },
["render"] = "\\frac{-383}{64}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{63}{64}",
["x"] = -5,
["y"] = 63,
["z"] = 64 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{5 - 6}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5 - 6}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{5 - 6}{-8})^2 - 6",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.09, bodu=12, $$\frac{-3 + 5 + (-10 + (-10))}{9}=\textcolor{white}{-2}$$return {
["body"] = 12,
["id"] = "L6l3uG_0404_0459",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{-18}{9}",
["typ"] = "cislo" },
["tex"] = "-2",
["x"] = -2 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-3 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 + (-10)",
["typ"] = "plus" },
["render"] = "-3 + 5 + (-10 + (-10))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-3 + 5 + (-10 + (-10))}{9}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.1, bodu=24, $$\frac{1\frac{5}{7}}{\frac{9}{8}}=\textcolor{white}{1\frac{11}{21}}$$return {
["body"] = 24,
["id"] = "Rzxtex_0404_0459",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 1.5238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 21 },
["render"] = "\\frac{96}{63}",
["typ"] = "cislo" },
["tex"] = "1\\frac{11}{21}",
["x"] = 1,
["y"] = 11,
["z"] = 21 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{1\\frac{5}{7}}{\\frac{9}{8}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.11, bodu=6, $$3 + 5 + (-7 - 8 + (-8))=\textcolor{white}{-15}$$return {
["body"] = 6,
["id"] = "T01WfG_0404_0459",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["x"] = -15 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 - 8 + (-8)",
["typ"] = "plus" },
["render"] = "3 + 5 + (-7 - 8 + (-8))",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.12, bodu=6, $$(-7 + (-3 - 10)) \cdot 8=\textcolor{white}{-160}$$return {
["body"] = 6,
["id"] = "DS6rvd_0404_0459",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 1 },
["render"] = "\\frac{-160}{1}",
["typ"] = "cislo" },
["tex"] = "-160",
["x"] = -160 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-3 - 10",
["typ"] = "minus" },
["render"] = "-7 + (-3 - 10)",
["typ"] = "plus" },
["render"] = "(-7 + (-3 - 10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-7 + (-3 - 10)) \\cdot 8",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.13, bodu=14, $$\frac{6}{\frac{-8}{9}}=\textcolor{white}{-6{,}75}$$return {
["body"] = 14,
["id"] = "4wxmlb_0404_0459",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -6.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 4 },
["render"] = "\\frac{54}{-8}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3}{4}",
["tex_float"] = "-6{,}75",
["x"] = -6,
["y"] = 3,
["z"] = 4 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{-8}{9}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.14, bodu=14, $$\frac{-6}{11} - (9 + 6)=\textcolor{white}{-15\frac{6}{11}}$$return {
["body"] = 14,
["id"] = "pZBkYG_0404_0459",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -15.545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 11 },
["render"] = "\\frac{-171}{11}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{6}{11}",
["x"] = -15,
["y"] = 6,
["z"] = 11 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 + 6",
["typ"] = "plus" },
["render"] = "(9 + 6)",
["typ"] = "zavorka" },
["render"] = "\\frac{-6}{11} - (9 + 6)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.15, bodu=28, $$\frac{4}{8 - 4} + 4\frac{4}{8}=\textcolor{white}{5{,}5}$$return {
["body"] = 28,
["id"] = "Wqe0DZ_0404_0459",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 5.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2 },
["render"] = "\\frac{11}{2}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{2}",
["tex_float"] = "5{,}5",
["x"] = 5,
["y"] = 1,
["z"] = 2 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - 4",
["typ"] = "minus" },
["render"] = "\\frac{4}{8 - 4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8 - 4} + 4\\frac{4}{8}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.16, bodu=7, $$11 + 8 + 9 + 11 - (-4)=\textcolor{white}{43}$$return {
["body"] = 7,
["id"] = "24Tu20_0404_0459",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 1 },
["render"] = "\\frac{43}{1}",
["typ"] = "cislo" },
["tex"] = "43",
["tex_float"] = "43",
["x"] = 43 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "11 + 8 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "11 - (-4)",
["typ"] = "minus" },
["render"] = "11 + 8 + 9 + 11 - (-4)",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.17, bodu=30, $$\frac{4 \cdot -5}{1\frac{4}{9}}=\textcolor{white}{-13\frac{11}{13}}$$return {
["body"] = 30,
["id"] = "AQv115_0404_0459",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -13.846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 13 },
["render"] = "\\frac{-180}{13}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{11}{13}",
["x"] = -13,
["y"] = 11,
["z"] = 13 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot -5}{1\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.18, bodu=16, $$\frac{3 - (-11)}{4 \cdot 7}=\textcolor{white}{0{,}5}$$return {
["body"] = 16,
["id"] = "IRLoC6_0404_0459",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{14}{28}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3 - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{3 - (-11)}{4 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.19, bodu=17, $$8 - (-6) + \frac{-8}{7}=\textcolor{white}{12\frac{6}{7}}$$return {
["body"] = 17,
["id"] = "CRTLxQ_0404_0459",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 12.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 7 },
["render"] = "\\frac{90}{7}",
["typ"] = "cislo" },
["tex"] = "12\\frac{6}{7}",
["x"] = 12,
["y"] = 6,
["z"] = 7 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{7}",
["typ"] = "lomeno" },
["render"] = "8 - (-6) + \\frac{-8}{7}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.2, bodu=51, $$\frac{6}{2\frac{5}{8} + 2\frac{3}{6}} \cdot (-7 - 10)=\textcolor{white}{-19\frac{37}{41}}$$return {
["body"] = 51,
["id"] = "oRriZ1_0404_0459",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -19.90243902439,
["objekt"] = {
["hodnota"] = {
["citatel"] = -816,
["jmenovatel"] = 41 },
["render"] = "\\frac{-816}{41}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{37}{41}",
["x"] = -19,
["y"] = 37,
["z"] = 41 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "\\frac{6}{2\\frac{5}{8} + 2\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - 10",
["typ"] = "minus" },
["render"] = "(-7 - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{2\\frac{5}{8} + 2\\frac{3}{6}} \\cdot (-7 - 10)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.21, bodu=54, $$-10 \cdot -7 \cdot (\frac{-11}{3\frac{3}{6}})^2=\textcolor{white}{691\frac{3}{7}}$$return {
["body"] = 54,
["id"] = "hOv4fT_0404_0459",
["obtiznost"] = 0.6232,
["reseni"] = {
["float"] = 691.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4840,
["jmenovatel"] = 7 },
["render"] = "\\frac{4840}{7}",
["typ"] = "cislo" },
["tex"] = "691\\frac{3}{7}",
["x"] = 691,
["y"] = 3,
["z"] = 7 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{3\\frac{3}{6}})^2",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot (\\frac{-11}{3\\frac{3}{6}})^2",
["typ"] = "krat" },
["render"] = "-10 \\cdot -7 \\cdot (\\frac{-11}{3\\frac{3}{6}})^2",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.22, bodu=34, $$\frac{2\frac{2}{5}}{\frac{9}{7} \cdot 5}=\textcolor{white}{\frac{28}{75}}$$return {
["body"] = 34,
["id"] = "HbbZsR_0404_0459",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 0.37333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 75 },
["render"] = "\\frac{84}{225}",
["typ"] = "cislo" },
["tex"] = "\\frac{28}{75}",
["y"] = 28,
["z"] = 75 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7} \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{5}}{\\frac{9}{7} \\cdot 5}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.23, bodu=25, $$\frac{-6}{12 + 9 + (\frac{8}{11})^2}=\textcolor{white}{-\frac{726}{2605}}$$return {
["body"] = 25,
["id"] = "Rqwqx5_0404_0459",
["obtiznost"] = 0.304,
["reseni"] = {
["float"] = -0.27869481765835,
["objekt"] = {
["hodnota"] = {
["citatel"] = -726,
["jmenovatel"] = 2605 },
["render"] = "\\frac{-726}{2605}",
["typ"] = "cislo" },
["tex"] = "-\\frac{726}{2605}",
["y"] = -726,
["z"] = 2605 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 + 9",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{11})^2",
["typ"] = "mocnina" },
["render"] = "12 + 9 + (\\frac{8}{11})^2",
["typ"] = "plus" },
["render"] = "\\frac{-6}{12 + 9 + (\\frac{8}{11})^2}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.24, bodu=11, $$3 \cdot (14 - 11)^4 - 9=\textcolor{white}{234}$$return {
["body"] = 11,
["id"] = "8Ib8iv_0404_0459",
["obtiznost"] = 0.2728,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 234,
["jmenovatel"] = 1 },
["render"] = "\\frac{234}{1}",
["typ"] = "cislo" },
["tex"] = "234",
["x"] = 234 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(14 - 11)^4",
["typ"] = "mocnina" },
["render"] = "3 \\cdot (14 - 11)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 \\cdot (14 - 11)^4 - 9",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.25, bodu=10, $$13 \cdot (-6 \cdot 6 - 9)=\textcolor{white}{-585}$$return {
["body"] = 10,
["id"] = "Nr8k0S_0404_0459",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -585,
["jmenovatel"] = 1 },
["render"] = "\\frac{-585}{1}",
["typ"] = "cislo" },
["tex"] = "-585",
["x"] = -585 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 6 - 9",
["typ"] = "minus" },
["render"] = "(-6 \\cdot 6 - 9)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (-6 \\cdot 6 - 9)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.26, bodu=58, $$3 + 8 - (4\frac{2}{3} + 11) \cdot 3\frac{2}{8}=\textcolor{white}{-39\frac{11}{12}}$$return {
["body"] = 58,
["id"] = "aXR8Jr_0404_0459",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -39.916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -479,
["jmenovatel"] = 12 },
["render"] = "\\frac{-479}{12}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{11}{12}",
["x"] = -39,
["y"] = 11,
["z"] = 12 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{3} + 11",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{3} + 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{3} + 11) \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "3 + 8 - (4\\frac{2}{3} + 11) \\cdot 3\\frac{2}{8}",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.27, bodu=11, $$12 \cdot 7 - (9 - 10 + 9)=\textcolor{white}{76}$$return {
["body"] = 11,
["id"] = "YIzvUP_0404_0459",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 76,
["jmenovatel"] = 1 },
["render"] = "\\frac{76}{1}",
["typ"] = "cislo" },
["tex"] = "76",
["tex_float"] = "76",
["x"] = 76 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 10 + 9",
["typ"] = "plus" },
["render"] = "(9 - 10 + 9)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot 7 - (9 - 10 + 9)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.28, bodu=23, $$\frac{-5}{9 \cdot 9 - 9}=\textcolor{white}{-\frac{5}{72}}$$return {
["body"] = 23,
["id"] = "VZBEC0_0404_0459",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -0.069444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 72 },
["render"] = "\\frac{-5}{72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{72}",
["y"] = -5,
["z"] = 72 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-5}{9 \\cdot 9 - 9}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.29, bodu=40, $$\frac{(-7 + 7 + 4\frac{5}{9}) \cdot -10}{8}=\textcolor{white}{-5\frac{25}{36}}$$return {
["body"] = 40,
["id"] = "vEuoO9_0404_0459",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -5.6944444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -205,
["jmenovatel"] = 36 },
["render"] = "\\frac{-410}{72}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{25}{36}",
["x"] = -5,
["y"] = 25,
["z"] = 36 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-7 + 7 + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(-7 + 7 + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-7 + 7 + 4\\frac{5}{9}) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-7 + 7 + 4\\frac{5}{9}) \\cdot -10}{8}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.3, bodu=41, $$7 + \frac{4\frac{2}{5}}{-11 \cdot 9}=\textcolor{white}{6\frac{43}{45}}$$return {
["body"] = 41,
["id"] = "iig6bY_0404_0459",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 6.9555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 313,
["jmenovatel"] = 45 },
["render"] = "\\frac{313}{45}",
["typ"] = "cislo" },
["tex"] = "6\\frac{43}{45}",
["x"] = 6,
["y"] = 43,
["z"] = 45 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{5}}{-11 \\cdot 9}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{4\\frac{2}{5}}{-11 \\cdot 9}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.31, bodu=42, $$-8 - ((2\frac{2}{3} + (-5)) \cdot -13 + 13)=\textcolor{white}{-51\frac{1}{3}}$$return {
["body"] = 42,
["id"] = "kWGuS0_0404_0459",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -51.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -154,
["jmenovatel"] = 3 },
["render"] = "\\frac{-154}{3}",
["typ"] = "cislo" },
["tex"] = "-51\\frac{1}{3}",
["x"] = -51,
["y"] = 1,
["z"] = 3 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + (-5)",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{3} + (-5))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{3} + (-5)) \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{3} + (-5)) \\cdot -13 + 13",
["typ"] = "plus" },
["render"] = "((2\\frac{2}{3} + (-5)) \\cdot -13 + 13)",
["typ"] = "zavorka" },
["render"] = "-8 - ((2\\frac{2}{3} + (-5)) \\cdot -13 + 13)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.32, bodu=26, $$\frac{-13}{(5 + 13) \cdot 10}=\textcolor{white}{-\frac{13}{180}}$$return {
["body"] = 26,
["id"] = "1fNFMB_0404_0459",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.072222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 180 },
["render"] = "\\frac{-13}{180}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{180}",
["y"] = -13,
["z"] = 180 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 + 13",
["typ"] = "plus" },
["render"] = "(5 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(5 + 13) \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{-13}{(5 + 13) \\cdot 10}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.33, bodu=27, $$\frac{-7 + (-10) - 12}{\frac{5}{8}}=\textcolor{white}{-46{,}4}$$return {
["body"] = 27,
["id"] = "WJgZD4_0404_0459",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -46.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -232,
["jmenovatel"] = 5 },
["render"] = "\\frac{-232}{5}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{2}{5}",
["tex_float"] = "-46{,}4",
["x"] = -46,
["y"] = 2,
["z"] = 5 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.33",
["zadani"] = {
["c1"] = {
["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"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-7 + (-10) - 12",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "\\frac{-7 + (-10) - 12}{\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.34, bodu=45, $$(15 - 11) \cdot 8 - (2\frac{5}{9} + (-9))=\textcolor{white}{38\frac{4}{9}}$$return {
["body"] = 45,
["id"] = "ymLNMa_0404_0459",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 38.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 346,
["jmenovatel"] = 9 },
["render"] = "\\frac{346}{9}",
["typ"] = "cislo" },
["tex"] = "38\\frac{4}{9}",
["x"] = 38,
["y"] = 4,
["z"] = 9 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 - 11",
["typ"] = "minus" },
["render"] = "(15 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(15 - 11) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + (-9)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{9} + (-9))",
["typ"] = "zavorka" },
["render"] = "(15 - 11) \\cdot 8 - (2\\frac{5}{9} + (-9))",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.35, bodu=28, $$\frac{8}{8 \cdot 3} + 11=\textcolor{white}{11\frac{1}{3}}$$return {
["body"] = 28,
["id"] = "AL2nnK_0404_0459",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 11.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 3 },
["render"] = "\\frac{34}{3}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{3}",
["x"] = 11,
["y"] = 1,
["z"] = 3 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3",
["typ"] = "krat" },
["render"] = "\\frac{8}{8 \\cdot 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8 \\cdot 3} + 11",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.36, bodu=14, $$8 - ((14 - 14) \cdot 8 + 11)=\textcolor{white}{-3}$$return {
["body"] = 14,
["id"] = "3Zcnbp_0404_0459",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 - 14",
["typ"] = "minus" },
["render"] = "(14 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(14 - 14) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(14 - 14) \\cdot 8 + 11",
["typ"] = "plus" },
["render"] = "((14 - 14) \\cdot 8 + 11)",
["typ"] = "zavorka" },
["render"] = "8 - ((14 - 14) \\cdot 8 + 11)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.37, bodu=30, $$\frac{\frac{11}{12 \cdot 14}}{11}=\textcolor{white}{\frac{1}{168}}$$return {
["body"] = 30,
["id"] = "oyGnnD_0404_0459",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.005952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 168 },
["render"] = "\\frac{11}{1848}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{168}",
["y"] = 1,
["z"] = 168 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "12 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{11}{12 \\cdot 14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{12 \\cdot 14}}{11}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.38, bodu=83, $$\frac{5}{-5 - (4\frac{2}{4} \cdot 6)^2}=\textcolor{white}{-\frac{5}{734}}$$return {
["body"] = 83,
["id"] = "SRPvGC_0404_0459",
["obtiznost"] = 0.872,
["reseni"] = {
["float"] = -0.0068119891008174,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 734 },
["render"] = "\\frac{5}{-734}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{734}",
["y"] = -5,
["z"] = 734 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{4} \\cdot 6)^2",
["typ"] = "mocnina" },
["render"] = "-5 - (4\\frac{2}{4} \\cdot 6)^2",
["typ"] = "minus" },
["render"] = "\\frac{5}{-5 - (4\\frac{2}{4} \\cdot 6)^2}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.39, bodu=52, $$4\frac{2}{8} + (-10) + 11 + (\frac{-6}{9})^3=\textcolor{white}{4\frac{103}{108}}$$return {
["body"] = 52,
["id"] = "BCoctw_0404_0459",
["obtiznost"] = 0.604,
["reseni"] = {
["float"] = 4.9537037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 535,
["jmenovatel"] = 108 },
["render"] = "\\frac{535}{108}",
["typ"] = "cislo" },
["tex"] = "4\\frac{103}{108}",
["x"] = 4,
["y"] = 103,
["z"] = 108 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{9})^3",
["typ"] = "mocnina" },
["render"] = "11 + (\\frac{-6}{9})^3",
["typ"] = "plus" },
["render"] = "4\\frac{2}{8} + (-10) + 11 + (\\frac{-6}{9})^3",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.4, bodu=127, $$(1\frac{2}{3} - 9)^2 + 14 \cdot 2\frac{4}{11} + 4\frac{1}{6} + (-10)=\textcolor{white}{81\frac{7}{198}}$$return {
["body"] = 127,
["id"] = "5dkoy4_0404_0459",
["obtiznost"] = 1.1972,
["reseni"] = {
["float"] = 81.035353535354,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16045,
["jmenovatel"] = 198 },
["render"] = "\\frac{48135}{594}",
["typ"] = "cislo" },
["tex"] = "81\\frac{7}{198}",
["x"] = 81,
["y"] = 7,
["z"] = 198 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{3} - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 2\\frac{4}{11} + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "14 \\cdot 2\\frac{4}{11} + 4\\frac{1}{6} + (-10)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{3} - 9)^2 + 14 \\cdot 2\\frac{4}{11} + 4\\frac{1}{6} + (-10)",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.41, bodu=54, $$5 \cdot (1\frac{4}{7} - (-9)) + (\frac{10}{-8})^2=\textcolor{white}{54\frac{47}{112}}$$return {
["body"] = 54,
["id"] = "fYGnzk_0404_0459",
["obtiznost"] = 0.6264,
["reseni"] = {
["float"] = 54.419642857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6095,
["jmenovatel"] = 112 },
["render"] = "\\frac{6095}{112}",
["typ"] = "cislo" },
["tex"] = "54\\frac{47}{112}",
["x"] = 54,
["y"] = 47,
["z"] = 112 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - (-9)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{7} - (-9))",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (1\\frac{4}{7} - (-9))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-8})^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (1\\frac{4}{7} - (-9)) + (\\frac{10}{-8})^2",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.42, bodu=53, $$\frac{-7}{-3 + 3\frac{2}{9} + 10 \cdot -5 - (-12)}=\textcolor{white}{\frac{63}{340}}$$return {
["body"] = 53,
["id"] = "JQvtPs_0404_0459",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 0.18529411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 340 },
["render"] = "\\frac{-63}{-340}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{340}",
["y"] = 63,
["z"] = 340 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "10 \\cdot -5",
["typ"] = "krat" },
["render"] = "3\\frac{2}{9} + 10 \\cdot -5",
["typ"] = "plus" },
["render"] = "-3 + 3\\frac{2}{9} + 10 \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-3 + 3\\frac{2}{9} + 10 \\cdot -5 - (-12)",
["typ"] = "minus" },
["render"] = "\\frac{-7}{-3 + 3\\frac{2}{9} + 10 \\cdot -5 - (-12)}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.43, bodu=104, $$\frac{1\frac{4}{8} + 14}{2\frac{1}{4} - (12 - 2\frac{1}{5})}=\textcolor{white}{-2\frac{8}{151}}$$return {
["body"] = 104,
["id"] = "XBgDev_0404_0459",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -2.0529801324503,
["objekt"] = {
["hodnota"] = {
["citatel"] = -310,
["jmenovatel"] = 151 },
["render"] = "\\frac{620}{-302}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{8}{151}",
["x"] = -2,
["y"] = 8,
["z"] = 151 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 14",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(12 - 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{4} - (12 - 2\\frac{1}{5})",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{8} + 14}{2\\frac{1}{4} - (12 - 2\\frac{1}{5})}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.44, bodu=90, $$(-16 - 11)^2 \cdot 12 - 4\frac{4}{8} + 8=\textcolor{white}{8751{,}5}$$return {
["body"] = 90,
["id"] = "jJkgA7_0404_0459",
["obtiznost"] = 0.932,
["reseni"] = {
["float"] = 8751.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17503,
["jmenovatel"] = 2 },
["render"] = "\\frac{17503}{2}",
["typ"] = "cislo" },
["tex"] = "8751\\frac{1}{2}",
["tex_float"] = "8751{,}5",
["x"] = 8751,
["y"] = 1,
["z"] = 2 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-16 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-16 - 11)^2 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(-16 - 11)^2 \\cdot 12 - 4\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-16 - 11)^2 \\cdot 12 - 4\\frac{4}{8} + 8",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.45, bodu=18, $$-13 - (-11 + (-9 \cdot 8 - (-10)))=\textcolor{white}{60}$$return {
["body"] = 18,
["id"] = "RwRoDd_0404_0459",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{1}",
["typ"] = "cislo" },
["tex"] = "60",
["tex_float"] = "60",
["x"] = 60 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8 - (-10)",
["typ"] = "minus" },
["render"] = "-11 + (-9 \\cdot 8 - (-10))",
["typ"] = "plus" },
["render"] = "(-11 + (-9 \\cdot 8 - (-10)))",
["typ"] = "zavorka" },
["render"] = "-13 - (-11 + (-9 \\cdot 8 - (-10)))",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.46, bodu=58, $$-11 \cdot 8 \cdot -7 \cdot 2\frac{4}{8}=\textcolor{white}{1540}$$return {
["body"] = 58,
["id"] = "MyGJTP_0404_0459",
["obtiznost"] = 0.66,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1540,
["jmenovatel"] = 1 },
["render"] = "\\frac{3080}{2}",
["typ"] = "cislo" },
["tex"] = "1540",
["tex_float"] = "1540",
["x"] = 1540 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 \\cdot -7",
["typ"] = "krat" },
["render"] = "-11 \\cdot 8 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 8 \\cdot -7 \\cdot 2\\frac{4}{8}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.47, bodu=59, $$\frac{-10 - 2\frac{3}{8}}{14 - 2 + (-11)}=\textcolor{white}{-12{,}375}$$return {
["body"] = 59,
["id"] = "r04D91_0404_0459",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -12.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 8 },
["render"] = "\\frac{-99}{8}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3}{8}",
["tex_float"] = "-12{,}375",
["x"] = -12,
["y"] = 3,
["z"] = 8 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 2\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "14 - 2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 - 2 + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{-10 - 2\\frac{3}{8}}{14 - 2 + (-11)}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.48, bodu=39, $$\frac{-11}{13 - (-10) - 5} \cdot -13=\textcolor{white}{7\frac{17}{18}}$$return {
["body"] = 39,
["id"] = "iqxSVH_0404_0459",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 7.9444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 143,
["jmenovatel"] = 18 },
["render"] = "\\frac{143}{18}",
["typ"] = "cislo" },
["tex"] = "7\\frac{17}{18}",
["x"] = 7,
["y"] = 17,
["z"] = 18 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 - (-10) - 5",
["typ"] = "minus" },
["render"] = "\\frac{-11}{13 - (-10) - 5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{13 - (-10) - 5} \\cdot -13",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.49, bodu=141, $$4\frac{2}{6} \cdot 1\frac{1}{4} \cdot 3\frac{5}{13} \cdot 4\frac{4}{7}=\textcolor{white}{83\frac{17}{21}}$$return {
["body"] = 141,
["id"] = "RPyX7P_0404_0459",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 83.809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1760,
["jmenovatel"] = 21 },
["render"] = "\\frac{91520}{1092}",
["typ"] = "cislo" },
["tex"] = "83\\frac{17}{21}",
["x"] = 83,
["y"] = 17,
["z"] = 21 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{13} \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} \\cdot 1\\frac{1}{4} \\cdot 3\\frac{5}{13} \\cdot 4\\frac{4}{7}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.5, bodu=70, $$\frac{3\frac{1}{4} + 10 + 11}{16 \cdot (-7 + (-6))^2}=\textcolor{white}{\frac{97}{10816}}$$return {
["body"] = 70,
["id"] = "OiBcp8_0404_0459",
["obtiznost"] = 0.768,
["reseni"] = {
["float"] = 0.0089681952662722,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 10816 },
["render"] = "\\frac{97}{10816}",
["typ"] = "cislo" },
["tex"] = "\\frac{97}{10816}",
["y"] = 97,
["z"] = 10816 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "3\\frac{1}{4} + 10 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "16 \\cdot (-7 + (-6))^2",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{4} + 10 + 11}{16 \\cdot (-7 + (-6))^2}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.51, bodu=91, $$\frac{(\frac{9}{-9 + 11 + 7 + 13})^2}{2\frac{2}{3}}=\textcolor{white}{\frac{243}{3872}}$$return {
["body"] = 91,
["id"] = "bX7BIQ_0404_0459",
["obtiznost"] = 0.936,
["reseni"] = {
["float"] = 0.06275826446281,
["objekt"] = {
["hodnota"] = {
["citatel"] = 243,
["jmenovatel"] = 3872 },
["render"] = "\\frac{243}{3872}",
["typ"] = "cislo" },
["tex"] = "\\frac{243}{3872}",
["y"] = 243,
["z"] = 3872 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.51",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 + 13",
["typ"] = "plus" },
["render"] = "-9 + 11 + 7 + 13",
["typ"] = "plus" },
["render"] = "\\frac{9}{-9 + 11 + 7 + 13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-9 + 11 + 7 + 13})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{9}{-9 + 11 + 7 + 13})^2}{2\\frac{2}{3}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.52, bodu=89, $$\frac{13 - (11 + 1\frac{1}{5})}{14} \cdot 3\frac{5}{8}=\textcolor{white}{\frac{29}{140}}$$return {
["body"] = 89,
["id"] = "NpgOdp_0404_0459",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 0.20714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 140 },
["render"] = "\\frac{58}{280}",
["typ"] = "cislo" },
["tex"] = "\\frac{29}{140}",
["y"] = 29,
["z"] = 140 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(11 + 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "13 - (11 + 1\\frac{1}{5})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{13 - (11 + 1\\frac{1}{5})}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13 - (11 + 1\\frac{1}{5})}{14} \\cdot 3\\frac{5}{8}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.53, bodu=90, $$(12 + (-10 + (-4 \cdot 1\frac{1}{5}))) \cdot (3\frac{2}{7} - 14)=\textcolor{white}{30}$$return {
["body"] = 90,
["id"] = "f52mT5_0404_0459",
["obtiznost"] = 0.93,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{1050}{35}",
["typ"] = "cislo" },
["tex"] = "30",
["x"] = 30 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 1\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "-10 + (-4 \\cdot 1\\frac{1}{5})",
["typ"] = "plus" },
["render"] = "12 + (-10 + (-4 \\cdot 1\\frac{1}{5}))",
["typ"] = "plus" },
["render"] = "(12 + (-10 + (-4 \\cdot 1\\frac{1}{5})))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - 14)",
["typ"] = "zavorka" },
["render"] = "(12 + (-10 + (-4 \\cdot 1\\frac{1}{5}))) \\cdot (3\\frac{2}{7} - 14)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.54, bodu=96, $$(-7 - 13 \cdot 3\frac{1}{6}) \cdot (-14 + (4\frac{4}{12} + (-4))^4)=\textcolor{white}{673\frac{359}{486}}$$return {
["body"] = 96,
["id"] = "tdws5R_0404_0459",
["obtiznost"] = 0.9728,
["reseni"] = {
["float"] = 673.73868312757,
["objekt"] = {
["hodnota"] = {
["citatel"] = 327437,
["jmenovatel"] = 486 },
["render"] = "\\frac{327437}{486}",
["typ"] = "cislo" },
["tex"] = "673\\frac{359}{486}",
["x"] = 673,
["y"] = 359,
["z"] = 486 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "-7 - 13 \\cdot 3\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(-7 - 13 \\cdot 3\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + (-4)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(4\\frac{4}{12} + (-4))^4",
["typ"] = "mocnina" },
["render"] = "-14 + (4\\frac{4}{12} + (-4))^4",
["typ"] = "plus" },
["render"] = "(-14 + (4\\frac{4}{12} + (-4))^4)",
["typ"] = "zavorka" },
["render"] = "(-7 - 13 \\cdot 3\\frac{1}{6}) \\cdot (-14 + (4\\frac{4}{12} + (-4))^4)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.55, bodu=100, $$(\frac{-9}{3\frac{3}{5}})^4 - (\frac{10}{12} + 17)=\textcolor{white}{21\frac{11}{48}}$$return {
["body"] = 100,
["id"] = "HJRal2_0404_0459",
["obtiznost"] = 1.0064,
["reseni"] = {
["float"] = 21.229166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1019,
["jmenovatel"] = 48 },
["render"] = "\\frac{2038}{96}",
["typ"] = "cislo" },
["tex"] = "21\\frac{11}{48}",
["x"] = 21,
["y"] = 11,
["z"] = 48 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.55",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-9}{3\\frac{3}{5}})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{10}{12} + 17",
["typ"] = "plus" },
["render"] = "(\\frac{10}{12} + 17)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-9}{3\\frac{3}{5}})^4 - (\\frac{10}{12} + 17)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.56, bodu=73, $$1\frac{4}{8} \cdot 12 \cdot -11 - (3 + (-12))^2=\textcolor{white}{-279}$$return {
["body"] = 73,
["id"] = "dVxuUA_0404_0459",
["obtiznost"] = 0.7928,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -279,
["jmenovatel"] = 1 },
["render"] = "\\frac{-279}{1}",
["typ"] = "cislo" },
["tex"] = "-279",
["x"] = -279 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 \\cdot -11",
["typ"] = "krat" },
["render"] = "1\\frac{4}{8} \\cdot 12 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{4}{8} \\cdot 12 \\cdot -11 - (3 + (-12))^2",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.57, bodu=95, $$2\frac{3}{8} \cdot (17 - (-10)) \cdot (8 + (-12) + 4\frac{5}{13})=\textcolor{white}{24\frac{69}{104}}$$return {
["body"] = 95,
["id"] = "NEAo5b_0404_0459",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 24.663461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2565,
["jmenovatel"] = 104 },
["render"] = "\\frac{2565}{104}",
["typ"] = "cislo" },
["tex"] = "24\\frac{69}{104}",
["x"] = 24,
["y"] = 69,
["z"] = 104 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "17 - (-10)",
["typ"] = "minus" },
["render"] = "(17 - (-10))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} \\cdot (17 - (-10))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "8 + (-12) + 4\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(8 + (-12) + 4\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{8} \\cdot (17 - (-10)) \\cdot (8 + (-12) + 4\\frac{5}{13})",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.58, bodu=97, $$\frac{-13}{-9} - \frac{-14 - 4\frac{2}{10}}{3\frac{2}{10}}=\textcolor{white}{7\frac{19}{144}}$$return {
["body"] = 97,
["id"] = "PeRdM0_0404_0459",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 7.1319444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1027,
["jmenovatel"] = 144 },
["render"] = "\\frac{1027}{144}",
["typ"] = "cislo" },
["tex"] = "7\\frac{19}{144}",
["x"] = 7,
["y"] = 19,
["z"] = 144 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 - 4\\frac{2}{10}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{-9} - \\frac{-14 - 4\\frac{2}{10}}{3\\frac{2}{10}}",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.59, bodu=73, $$\frac{\frac{2\frac{5}{12}}{6}}{-12 + 10 + 8 - (-14)}=\textcolor{white}{\frac{29}{1440}}$$return {
["body"] = 73,
["id"] = "PQi5CE_0404_0459",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 0.020138888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 1440 },
["render"] = "\\frac{29}{1440}",
["typ"] = "cislo" },
["tex"] = "\\frac{29}{1440}",
["y"] = 29,
["z"] = 1440 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "8 - (-14)",
["typ"] = "minus" },
["render"] = "10 + 8 - (-14)",
["typ"] = "plus" },
["render"] = "-12 + 10 + 8 - (-14)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{5}{12}}{6}}{-12 + 10 + 8 - (-14)}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.6, bodu=100, $$-8 - 10 - (-11 - \frac{16}{3\frac{2}{8}} - 1\frac{1}{5})=\textcolor{white}{-\frac{57}{65}}$$return {
["body"] = 100,
["id"] = "mVB7iK_0404_0459",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -0.87692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 65 },
["render"] = "\\frac{-57}{65}",
["typ"] = "cislo" },
["tex"] = "-\\frac{57}{65}",
["y"] = -57,
["z"] = 65 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 - 10",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{16}{3\\frac{2}{8}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-11 - \\frac{16}{3\\frac{2}{8}} - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(-11 - \\frac{16}{3\\frac{2}{8}} - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "-8 - 10 - (-11 - \\frac{16}{3\\frac{2}{8}} - 1\\frac{1}{5})",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.61, bodu=76, $$((11 + (-7))^2 + 4\frac{1}{5}) \cdot (8 \cdot 13 - 5)=\textcolor{white}{1999{,}8}$$return {
["body"] = 76,
["id"] = "JaaWOW_0404_0459",
["obtiznost"] = 0.8168,
["reseni"] = {
["float"] = 1999.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9999,
["jmenovatel"] = 5 },
["render"] = "\\frac{9999}{5}",
["typ"] = "cislo" },
["tex"] = "1999\\frac{4}{5}",
["tex_float"] = "1999{,}8",
["x"] = 1999,
["y"] = 4,
["z"] = 5 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "(11 + (-7))^2 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "((11 + (-7))^2 + 4\\frac{1}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13 - 5",
["typ"] = "minus" },
["render"] = "(8 \\cdot 13 - 5)",
["typ"] = "zavorka" },
["render"] = "((11 + (-7))^2 + 4\\frac{1}{5}) \\cdot (8 \\cdot 13 - 5)",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.62, bodu=76, $$\frac{6 \cdot 13}{\frac{3\frac{3}{5}}{8}} + (-9)=\textcolor{white}{164\frac{1}{3}}$$return {
["body"] = 76,
["id"] = "X9ZgWC_0404_0459",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 164.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 493,
["jmenovatel"] = 3 },
["render"] = "\\frac{493}{3}",
["typ"] = "cislo" },
["tex"] = "164\\frac{1}{3}",
["x"] = 164,
["y"] = 1,
["z"] = 3 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "6 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{6 \\cdot 13}{\\frac{3\\frac{3}{5}}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 13}{\\frac{3\\frac{3}{5}}{8}} + (-9)",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.63, bodu=78, $$\frac{-4}{7} \cdot 2\frac{4}{7} \cdot (-11 + (-7 - 6))=\textcolor{white}{35\frac{13}{49}}$$return {
["body"] = 78,
["id"] = "tw8A2j_0404_0459",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 35.265306122449,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1728,
["jmenovatel"] = 49 },
["render"] = "\\frac{1728}{49}",
["typ"] = "cislo" },
["tex"] = "35\\frac{13}{49}",
["x"] = 35,
["y"] = 13,
["z"] = 49 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.63",
["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"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{7} \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["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"] = "-11 + (-7 - 6)",
["typ"] = "plus" },
["render"] = "(-11 + (-7 - 6))",
["typ"] = "zavorka" },
["render"] = "\\frac{-4}{7} \\cdot 2\\frac{4}{7} \\cdot (-11 + (-7 - 6))",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.64, bodu=165, $$\frac{15 - 2\frac{3}{6}}{2\frac{5}{11} + \frac{1\frac{5}{6}}{1\frac{5}{11}} + (-4)}=\textcolor{white}{-43\frac{257}{301}}$$return {
["body"] = 165,
["id"] = "FvqfF5_0404_0459",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -43.853820598007,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13200,
["jmenovatel"] = 301 },
["render"] = "\\frac{26400}{-602}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{257}{301}",
["x"] = -43,
["y"] = 257,
["z"] = 301 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{11} + \\frac{1\\frac{5}{6}}{1\\frac{5}{11}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + \\frac{1\\frac{5}{6}}{1\\frac{5}{11}} + (-4)",
["typ"] = "plus" },
["render"] = "\\frac{15 - 2\\frac{3}{6}}{2\\frac{5}{11} + \\frac{1\\frac{5}{6}}{1\\frac{5}{11}} + (-4)}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.65, bodu=106, $$4\frac{1}{5} \cdot -16 - 14 - \frac{3\frac{1}{6}}{12}=\textcolor{white}{-81\frac{167}{360}}$$return {
["body"] = 106,
["id"] = "pKKrog_0404_0459",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -81.463888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29327,
["jmenovatel"] = 360 },
["render"] = "\\frac{-29327}{360}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{167}{360}",
["x"] = -81,
["y"] = 167,
["z"] = 360 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -16 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{12}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{5} \\cdot -16 - 14 - \\frac{3\\frac{1}{6}}{12}",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.66, bodu=81, $$-8 + \frac{8}{\frac{-12}{\frac{2\frac{3}{6}}{16}}}=\textcolor{white}{-8\frac{5}{48}}$$return {
["body"] = 81,
["id"] = "uZPx1U_0404_0459",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -8.1041666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -389,
["jmenovatel"] = 48 },
["render"] = "\\frac{-389}{48}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{5}{48}",
["x"] = -8,
["y"] = 5,
["z"] = 48 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{16}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{2\\frac{3}{6}}{16}}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{-12}{\\frac{2\\frac{3}{6}}{16}}}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{8}{\\frac{-12}{\\frac{2\\frac{3}{6}}{16}}}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.67, bodu=83, $$\frac{\frac{17 + (-8)}{10}}{\frac{-7}{1\frac{3}{6}} - (-4)}=\textcolor{white}{-1{,}35}$$return {
["body"] = 83,
["id"] = "3MpBTH_0404_0459",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -1.35,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 20 },
["render"] = "\\frac{27}{-20}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7}{20}",
["tex_float"] = "-1{,}35",
["x"] = -1,
["y"] = 7,
["z"] = 20 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "17 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{17 + (-8)}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{1\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{1\\frac{3}{6}} - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{17 + (-8)}{10}}{\\frac{-7}{1\\frac{3}{6}} - (-4)}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.68, bodu=111, $$(-11 - 2\frac{4}{6}) \cdot \frac{2\frac{5}{9} \cdot -15}{4}=\textcolor{white}{130\frac{35}{36}}$$return {
["body"] = 111,
["id"] = "O2BEJG_0404_0459",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 130.97222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4715,
["jmenovatel"] = 36 },
["render"] = "\\frac{4715}{36}",
["typ"] = "cislo" },
["tex"] = "130\\frac{35}{36}",
["x"] = 130,
["y"] = 35,
["z"] = 36 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(-11 - 2\\frac{4}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9} \\cdot -15}{4}",
["typ"] = "lomeno" },
["render"] = "(-11 - 2\\frac{4}{6}) \\cdot \\frac{2\\frac{5}{9} \\cdot -15}{4}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.69, bodu=142, $$\frac{((\frac{-4}{1\frac{3}{9}})^2 + 3\frac{2}{6}) \cdot 11}{4\frac{3}{8} + 6}=\textcolor{white}{13\frac{19}{249}}$$return {
["body"] = 142,
["id"] = "RklEPV_0404_0459",
["obtiznost"] = 1.294,
["reseni"] = {
["float"] = 13.076305220884,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3256,
["jmenovatel"] = 249 },
["render"] = "\\frac{3256}{249}",
["typ"] = "cislo" },
["tex"] = "13\\frac{19}{249}",
["x"] = 13,
["y"] = 19,
["z"] = 249 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{1\\frac{3}{9}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(\\frac{-4}{1\\frac{3}{9}})^2 + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "((\\frac{-4}{1\\frac{3}{9}})^2 + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "((\\frac{-4}{1\\frac{3}{9}})^2 + 3\\frac{2}{6}) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 6",
["typ"] = "plus" },
["render"] = "\\frac{((\\frac{-4}{1\\frac{3}{9}})^2 + 3\\frac{2}{6}) \\cdot 11}{4\\frac{3}{8} + 6}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.7, bodu=149, $$(2\frac{5}{7} + 3\frac{2}{7} - (-6 + 9 + 7)^2) \cdot -10 - 4\frac{2}{6}=\textcolor{white}{935\frac{2}{3}}$$return {
["body"] = 149,
["id"] = "l6B1Iz_0404_0459",
["obtiznost"] = 1.3404,
["reseni"] = {
["float"] = 935.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2807,
["jmenovatel"] = 3 },
["render"] = "\\frac{2807}{3}",
["typ"] = "cislo" },
["tex"] = "935\\frac{2}{3}",
["x"] = 935,
["y"] = 2,
["z"] = 3 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "-6 + 9 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-6 + 9 + 7)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{7} + 3\\frac{2}{7} - (-6 + 9 + 7)^2",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{7} + 3\\frac{2}{7} - (-6 + 9 + 7)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{7} + 3\\frac{2}{7} - (-6 + 9 + 7)^2) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{7} + 3\\frac{2}{7} - (-6 + 9 + 7)^2) \\cdot -10 - 4\\frac{2}{6}",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.71, bodu=88, $$\frac{-6 \cdot \frac{13}{4\frac{5}{10}} - 9}{5}=\textcolor{white}{-5\frac{4}{15}}$$return {
["body"] = 88,
["id"] = "SVnKVt_0404_0459",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -5.2666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -79,
["jmenovatel"] = 15 },
["render"] = "\\frac{-79}{15}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{4}{15}",
["x"] = -5,
["y"] = 4,
["z"] = 15 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "-6 \\cdot \\frac{13}{4\\frac{5}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot \\frac{13}{4\\frac{5}{10}} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot \\frac{13}{4\\frac{5}{10}} - 9}{5}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.72, bodu=116, $$\frac{\frac{1\frac{3}{7}}{2\frac{1}{9}}}{-10} \cdot \frac{-17}{-8}=\textcolor{white}{-\frac{153}{1064}}$$return {
["body"] = 116,
["id"] = "YR2PvM_0404_0459",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -0.1437969924812,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 1064 },
["render"] = "\\frac{-153}{1064}",
["typ"] = "cislo" },
["tex"] = "-\\frac{153}{1064}",
["y"] = -153,
["z"] = 1064 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{1}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{7}}{2\\frac{1}{9}}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{3}{7}}{2\\frac{1}{9}}}{-10} \\cdot \\frac{-17}{-8}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.73, bodu=148, $$(\frac{2\frac{3}{13}}{8} - (-14 - 3\frac{4}{7}) + 2\frac{3}{8}) \cdot -15=\textcolor{white}{-303\frac{69}{182}}$$return {
["body"] = 148,
["id"] = "CYZYzZ_0404_0459",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -303.37912087912,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55215,
["jmenovatel"] = 182 },
["render"] = "\\frac{-55215}{182}",
["typ"] = "cislo" },
["tex"] = "-303\\frac{69}{182}",
["x"] = -303,
["y"] = 69,
["z"] = 182 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{13}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-14 - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-14 - 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{3}{13}}{8} - (-14 - 3\\frac{4}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{13}}{8} - (-14 - 3\\frac{4}{7}) + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{3}{13}}{8} - (-14 - 3\\frac{4}{7}) + 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{3}{13}}{8} - (-14 - 3\\frac{4}{7}) + 2\\frac{3}{8}) \\cdot -15",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.74, bodu=92, $$\frac{3\frac{1}{9} + 10}{-7 \cdot 5 \cdot 9}=\textcolor{white}{-\frac{118}{2835}}$$return {
["body"] = 92,
["id"] = "bIHAxq_0404_0459",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -0.041622574955908,
["objekt"] = {
["hodnota"] = {
["citatel"] = -118,
["jmenovatel"] = 2835 },
["render"] = "\\frac{118}{-2835}",
["typ"] = "cislo" },
["tex"] = "-\\frac{118}{2835}",
["y"] = -118,
["z"] = 2835 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "-7 \\cdot 5 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{9} + 10}{-7 \\cdot 5 \\cdot 9}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.75, bodu=151, $$-4 + 1\frac{1}{8} + \frac{2\frac{4}{9}}{1\frac{1}{10} - 17 \cdot 10}=\textcolor{white}{-2\frac{108167}{121608}}$$return {
["body"] = 151,
["id"] = "IS2gJh_0404_0459",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -2.8894727320571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -351383,
["jmenovatel"] = 121608 },
["render"] = "\\frac{-351383}{121608}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{108167}{121608}",
["x"] = -2,
["y"] = 108167,
["z"] = 121608 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "17 \\cdot 10",
["typ"] = "krat" },
["render"] = "1\\frac{1}{10} - 17 \\cdot 10",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{9}}{1\\frac{1}{10} - 17 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "-4 + 1\\frac{1}{8} + \\frac{2\\frac{4}{9}}{1\\frac{1}{10} - 17 \\cdot 10}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.76, bodu=152, $$(-18 + \frac{1\frac{1}{7}}{3\frac{2}{10}}) \cdot 1\frac{5}{8} + 8 + 13=\textcolor{white}{-7\frac{75}{112}}$$return {
["body"] = 152,
["id"] = "TJY9f8_0404_0459",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -7.6696428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -859,
["jmenovatel"] = 112 },
["render"] = "\\frac{-859}{112}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{75}{112}",
["x"] = -7,
["y"] = 75,
["z"] = 112 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "-18 + \\frac{1\\frac{1}{7}}{3\\frac{2}{10}}",
["typ"] = "plus" },
["render"] = "(-18 + \\frac{1\\frac{1}{7}}{3\\frac{2}{10}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(-18 + \\frac{1\\frac{1}{7}}{3\\frac{2}{10}}) \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 + 13",
["typ"] = "plus" },
["render"] = "(-18 + \\frac{1\\frac{1}{7}}{3\\frac{2}{10}}) \\cdot 1\\frac{5}{8} + 8 + 13",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.77, bodu=154, $$4\frac{4}{12} + (-8) - (12 - (3\frac{1}{1} - (2\frac{1}{7} + 1\frac{5}{13})) + (-17))=\textcolor{white}{1\frac{220}{273}}$$return {
["body"] = 154,
["id"] = "jWY5y4_0404_0459",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 1.8058608058608,
["objekt"] = {
["hodnota"] = {
["citatel"] = 493,
["jmenovatel"] = 273 },
["render"] = "\\frac{493}{273}",
["typ"] = "cislo" },
["tex"] = "1\\frac{220}{273}",
["x"] = 1,
["y"] = 220,
["z"] = 273 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + (-8)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 1\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{7} + 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13})",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13}))",
["typ"] = "zavorka" },
["render"] = "12 - (3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "12 - (3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13})) + (-17)",
["typ"] = "plus" },
["render"] = "(12 - (3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13})) + (-17))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{12} + (-8) - (12 - (3\\frac{1}{1} - (2\\frac{1}{7} + 1\\frac{5}{13})) + (-17))",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.78, bodu=139, $$\frac{3\frac{2}{3}}{\frac{-18 - 7}{(-11 - 16)^2}}=\textcolor{white}{-106{,}92}$$return {
["body"] = 139,
["id"] = "rpAWsb_0404_0459",
["obtiznost"] = 1.272,
["reseni"] = {
["float"] = -106.92,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2673,
["jmenovatel"] = 25 },
["render"] = "\\frac{8019}{-75}",
["typ"] = "cislo" },
["tex"] = "-106\\frac{23}{25}",
["tex_float"] = "-106{,}92",
["x"] = -106,
["y"] = 23,
["z"] = 25 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-18 - 7",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 16)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-18 - 7}{(-11 - 16)^2}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{3}}{\\frac{-18 - 7}{(-11 - 16)^2}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.79, bodu=126, $$(1\frac{2}{8} - (-9)) \cdot (-10 - (11 + 2\frac{5}{12})) \cdot -21=\textcolor{white}{5040\frac{7}{16}}$$return {
["body"] = 126,
["id"] = "xhaSBM_0404_0459",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 5040.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80647,
["jmenovatel"] = 16 },
["render"] = "\\frac{80647}{16}",
["typ"] = "cislo" },
["tex"] = "5040\\frac{7}{16}",
["x"] = 5040,
["y"] = 7,
["z"] = 16 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - (-9)",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{8} - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "-10 - (11 + 2\\frac{5}{12})",
["typ"] = "minus" },
["render"] = "(-10 - (11 + 2\\frac{5}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "(-10 - (11 + 2\\frac{5}{12})) \\cdot -21",
["typ"] = "krat" },
["render"] = "(1\\frac{2}{8} - (-9)) \\cdot (-10 - (11 + 2\\frac{5}{12})) \\cdot -21",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.8, bodu=128, $$\frac{17 \cdot (\frac{1\frac{1}{6}}{-7} + 3)}{\frac{4\frac{2}{7}}{18}}=\textcolor{white}{202{,}3}$$return {
["body"] = 128,
["id"] = "vwfoW9_0404_0459",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 202.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2023,
["jmenovatel"] = 10 },
["render"] = "\\frac{6069}{30}",
["typ"] = "cislo" },
["tex"] = "202\\frac{3}{10}",
["tex_float"] = "202{,}3",
["x"] = 202,
["y"] = 3,
["z"] = 10 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{-7} + 3",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{1}{6}}{-7} + 3)",
["typ"] = "zavorka" },
["render"] = "17 \\cdot (\\frac{1\\frac{1}{6}}{-7} + 3)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{18}",
["typ"] = "lomeno" },
["render"] = "\\frac{17 \\cdot (\\frac{1\\frac{1}{6}}{-7} + 3)}{\\frac{4\\frac{2}{7}}{18}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.81, bodu=160, $$(-13 + 4\frac{5}{11}) \cdot 15 \cdot (1\frac{4}{10} - (-18)) \cdot 4\frac{2}{6}=\textcolor{white}{-10775\frac{9}{11}}$$return {
["body"] = 160,
["id"] = "4ytfot_0404_0459",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -10775.818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -118534,
["jmenovatel"] = 11 },
["render"] = "\\frac{-118534}{11}",
["typ"] = "cislo" },
["tex"] = "-10775\\frac{9}{11}",
["x"] = -10775,
["y"] = 9,
["z"] = 11 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-13 + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} - (-18)",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{10} - (-18))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (1\\frac{4}{10} - (-18))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "15 \\cdot (1\\frac{4}{10} - (-18)) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "(-13 + 4\\frac{5}{11}) \\cdot 15 \\cdot (1\\frac{4}{10} - (-18)) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.82, bodu=195, $$\frac{3\frac{5}{16}}{17} - \frac{2\frac{2}{6} + 2\frac{2}{10}}{-14} + (-15 + 4\frac{4}{11})=\textcolor{white}{-10\frac{36977}{314160}}$$return {
["body"] = 195,
["id"] = "Y5AIXl_0404_0459",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = -10.117701171378,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3178577,
["jmenovatel"] = 314160 },
["render"] = "\\frac{-3178577}{314160}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{36977}{314160}",
["x"] = -10,
["y"] = 36977,
["z"] = 314160 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 16 },
["render"] = "3\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{16}}{17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + 2\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6} + 2\\frac{2}{10}}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{16}}{17} - \\frac{2\\frac{2}{6} + 2\\frac{2}{10}}{-14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-15 + 4\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{16}}{17} - \\frac{2\\frac{2}{6} + 2\\frac{2}{10}}{-14} + (-15 + 4\\frac{4}{11})",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.83, bodu=132, $$\frac{-22 \cdot 7}{\frac{21 \cdot -6 - 4\frac{5}{12}}{4\frac{4}{9}}}=\textcolor{white}{5\frac{233}{939}}$$return {
["body"] = 132,
["id"] = "N4wBTq_0404_0459",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 5.248136315229,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4928,
["jmenovatel"] = 939 },
["render"] = "\\frac{-4928}{-939}",
["typ"] = "cislo" },
["tex"] = "5\\frac{233}{939}",
["x"] = 5,
["y"] = 233,
["z"] = 939 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-22 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "21 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "21 \\cdot -6 - 4\\frac{5}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{21 \\cdot -6 - 4\\frac{5}{12}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-22 \\cdot 7}{\\frac{21 \\cdot -6 - 4\\frac{5}{12}}{4\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.84, bodu=234, $$\frac{2\frac{1}{7} \cdot 3\frac{4}{10} \cdot 1\frac{3}{10}}{1\frac{5}{12} \cdot 2\frac{2}{7}}=\textcolor{white}{2{,}925}$$return {
["body"] = 234,
["id"] = "FFjbXT_0404_0459",
["obtiznost"] = 1.84,
["reseni"] = {
["float"] = 2.925,
["objekt"] = {
["hodnota"] = {
["citatel"] = 117,
["jmenovatel"] = 40 },
["render"] = "\\frac{13923}{4760}",
["typ"] = "cislo" },
["tex"] = "2\\frac{37}{40}",
["tex_float"] = "2{,}925",
["x"] = 2,
["y"] = 37,
["z"] = 40 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 3\\frac{4}{10} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{7} \\cdot 3\\frac{4}{10} \\cdot 1\\frac{3}{10}}{1\\frac{5}{12} \\cdot 2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.85, bodu=167, $$\frac{4\frac{4}{6}}{\frac{-16 \cdot 2\frac{4}{8}}{3\frac{4}{8} \cdot -11}}=\textcolor{white}{4\frac{59}{120}}$$return {
["body"] = 167,
["id"] = "w7Zc37_0404_0459",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 4.4916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 539,
["jmenovatel"] = 120 },
["render"] = "\\frac{1078}{240}",
["typ"] = "cislo" },
["tex"] = "4\\frac{59}{120}",
["x"] = 4,
["y"] = 59,
["z"] = 120 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 2\\frac{4}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-16 \\cdot 2\\frac{4}{8}}{3\\frac{4}{8} \\cdot -11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{4}{6}}{\\frac{-16 \\cdot 2\\frac{4}{8}}{3\\frac{4}{8} \\cdot -11}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.86, bodu=116, $$(-5 - (-10))^3 - \frac{7}{(-11 - (-16))^2 \cdot 3\frac{1}{8}}=\textcolor{white}{124\frac{569}{625}}$$return {
["body"] = 116,
["id"] = "RJ1Llx_0404_0459",
["obtiznost"] = 1.1208,
["reseni"] = {
["float"] = 124.9104,
["objekt"] = {
["hodnota"] = {
["citatel"] = 78069,
["jmenovatel"] = 625 },
["render"] = "\\frac{78069}{625}",
["typ"] = "cislo" },
["tex"] = "124\\frac{569}{625}",
["x"] = 124,
["y"] = 569,
["z"] = 625 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.86",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-11 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "(-11 - (-16))^2 \\cdot 3\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{7}{(-11 - (-16))^2 \\cdot 3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "(-5 - (-10))^3 - \\frac{7}{(-11 - (-16))^2 \\cdot 3\\frac{1}{8}}",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.87, bodu=109, $$\frac{\frac{6}{1\frac{4}{6} + (-12)}}{-23 \cdot 13 \cdot 10}=\textcolor{white}{\frac{9}{46345}}$$return {
["body"] = 109,
["id"] = "Xamt5f_0404_0459",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.00019419570611716,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 46345 },
["render"] = "\\frac{-18}{-92690}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{46345}",
["y"] = 9,
["z"] = 46345 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{6}{1\\frac{4}{6} + (-12)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 \\cdot 10",
["typ"] = "krat" },
["render"] = "-23 \\cdot 13 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{6}{1\\frac{4}{6} + (-12)}}{-23 \\cdot 13 \\cdot 10}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.88, bodu=111, $$(\frac{-12}{-19} + (-18) - (-15)) \cdot (2\frac{5}{9} - (-17 - 9))=\textcolor{white}{-67\frac{12}{19}}$$return {
["body"] = 111,
["id"] = "9O8wIw_0404_0459",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -67.631578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1285,
["jmenovatel"] = 19 },
["render"] = "\\frac{-11565}{171}",
["typ"] = "cislo" },
["tex"] = "-67\\frac{12}{19}",
["x"] = -67,
["y"] = 12,
["z"] = 19 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-19} + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-19} + (-18) - (-15)",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{-19} + (-18) - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-17 - 9",
["typ"] = "minus" },
["render"] = "(-17 - 9)",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{9} - (-17 - 9)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - (-17 - 9))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-12}{-19} + (-18) - (-15)) \\cdot (2\\frac{5}{9} - (-17 - 9))",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.89, bodu=141, $$\frac{11 \cdot (\frac{6}{23} + 4\frac{2}{7})}{\frac{4\frac{1}{4}}{21}}=\textcolor{white}{247\frac{47}{391}}$$return {
["body"] = 141,
["id"] = "mgStJn_0404_0459",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 247.12020460358,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96624,
["jmenovatel"] = 391 },
["render"] = "\\frac{676368}{2737}",
["typ"] = "cislo" },
["tex"] = "247\\frac{47}{391}",
["x"] = 247,
["y"] = 47,
["z"] = 391 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{6}{23}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{23} + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{6}{23} + 4\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (\\frac{6}{23} + 4\\frac{2}{7})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{4}}{21}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 \\cdot (\\frac{6}{23} + 4\\frac{2}{7})}{\\frac{4\\frac{1}{4}}{21}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.9, bodu=175, $$(13 - \frac{4\frac{2}{6}}{1\frac{4}{11}}) \cdot (11 - (-11 - 3\frac{3}{10}))=\textcolor{white}{248\frac{113}{225}}$$return {
["body"] = 175,
["id"] = "X4pnr0_0404_0459",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 248.50222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55913,
["jmenovatel"] = 225 },
["render"] = "\\frac{111826}{450}",
["typ"] = "cislo" },
["tex"] = "248\\frac{113}{225}",
["x"] = 248,
["y"] = 113,
["z"] = 225 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "13 - \\frac{4\\frac{2}{6}}{1\\frac{4}{11}}",
["typ"] = "minus" },
["render"] = "(13 - \\frac{4\\frac{2}{6}}{1\\frac{4}{11}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-11 - 3\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "11 - (-11 - 3\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(11 - (-11 - 3\\frac{3}{10}))",
["typ"] = "zavorka" },
["render"] = "(13 - \\frac{4\\frac{2}{6}}{1\\frac{4}{11}}) \\cdot (11 - (-11 - 3\\frac{3}{10}))",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.91, bodu=144, $$3\frac{4}{10} \cdot \frac{-8 \cdot 4}{-18 - 13} \cdot 4\frac{1}{2}=\textcolor{white}{15\frac{123}{155}}$$return {
["body"] = 144,
["id"] = "xtuqJX_0404_0459",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 15.793548387097,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2448,
["jmenovatel"] = 155 },
["render"] = "\\frac{2448}{155}",
["typ"] = "cislo" },
["tex"] = "15\\frac{123}{155}",
["x"] = 15,
["y"] = 123,
["z"] = 155 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-18 - 13",
["typ"] = "minus" },
["render"] = "\\frac{-8 \\cdot 4}{-18 - 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 4}{-18 - 13} \\cdot 4\\frac{1}{2}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{10} \\cdot \\frac{-8 \\cdot 4}{-18 - 13} \\cdot 4\\frac{1}{2}",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.92, bodu=213, $$\frac{2\frac{5}{12} - 1\frac{3}{7}}{\frac{2\frac{3}{4} + (-10)}{-11 \cdot 4\frac{4}{10}}}=\textcolor{white}{6\frac{1816}{3045}}$$return {
["body"] = 213,
["id"] = "zIkcjr_0404_0459",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 6.5963875205255,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20086,
["jmenovatel"] = 3045 },
["render"] = "\\frac{80344}{12180}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1816}{3045}",
["x"] = 6,
["y"] = 1816,
["z"] = 3045 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - 1\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{4} + (-10)}{-11 \\cdot 4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{12} - 1\\frac{3}{7}}{\\frac{2\\frac{3}{4} + (-10)}{-11 \\cdot 4\\frac{4}{10}}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.93, bodu=251, $$3\frac{2}{9} - (3\frac{5}{11} - 17) + \frac{3\frac{3}{9}}{\frac{4\frac{3}{9}}{2\frac{3}{12}}}=\textcolor{white}{18\frac{1283}{2574}}$$return {
["body"] = 251,
["id"] = "LMf6a3_0404_0459",
["obtiznost"] = 1.93,
["reseni"] = {
["float"] = 18.498445998446,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47615,
["jmenovatel"] = 2574 },
["render"] = "\\frac{47615}{2574}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1283}{2574}",
["x"] = 18,
["y"] = 1283,
["z"] = 2574 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 17",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{11} - 17)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{9} - (3\\frac{5}{11} - 17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{2\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{9}}{\\frac{4\\frac{3}{9}}{2\\frac{3}{12}}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{9} - (3\\frac{5}{11} - 17) + \\frac{3\\frac{3}{9}}{\\frac{4\\frac{3}{9}}{2\\frac{3}{12}}}",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.94, bodu=181, $$\frac{-18}{3\frac{4}{10}} \cdot (-6 - \frac{3\frac{2}{9}}{3\frac{3}{6}} - (-11))=\textcolor{white}{-21\frac{71}{119}}$$return {
["body"] = 181,
["id"] = "lIrHHy_0404_0459",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -21.596638655462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2570,
["jmenovatel"] = 119 },
["render"] = "\\frac{-23130}{1071}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{71}{119}",
["x"] = -21,
["y"] = 71,
["z"] = 119 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "-6 - \\frac{3\\frac{2}{9}}{3\\frac{3}{6}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-6 - \\frac{3\\frac{2}{9}}{3\\frac{3}{6}} - (-11)",
["typ"] = "minus" },
["render"] = "(-6 - \\frac{3\\frac{2}{9}}{3\\frac{3}{6}} - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{-18}{3\\frac{4}{10}} \\cdot (-6 - \\frac{3\\frac{2}{9}}{3\\frac{3}{6}} - (-11))",
["typ"] = "krat" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.95, bodu=255, $$1\frac{5}{8} - 3\frac{4}{8} + 3\frac{1}{7} \cdot \frac{4\frac{5}{15}}{1\frac{2}{5}} - (-14)=\textcolor{white}{21\frac{1003}{1176}}$$return {
["body"] = 255,
["id"] = "7SKBMO_0404_0459",
["obtiznost"] = 1.95,
["reseni"] = {
["float"] = 21.852891156463,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25699,
["jmenovatel"] = 1176 },
["render"] = "\\frac{25699}{1176}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1003}{1176}",
["x"] = 21,
["y"] = 1003,
["z"] = 1176 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 3\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{15}}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{7} \\cdot \\frac{4\\frac{5}{15}}{1\\frac{2}{5}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} \\cdot \\frac{4\\frac{5}{15}}{1\\frac{2}{5}} - (-14)",
["typ"] = "minus" },
["render"] = "1\\frac{5}{8} - 3\\frac{4}{8} + 3\\frac{1}{7} \\cdot \\frac{4\\frac{5}{15}}{1\\frac{2}{5}} - (-14)",
["typ"] = "plus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.96, bodu=201, $$\frac{(9 - 4\frac{5}{10})^3 + (-14)}{\frac{2\frac{5}{11}}{18 - (-18)}}=\textcolor{white}{1131\frac{1}{6}}$$return {
["body"] = 201,
["id"] = "we4lai_0404_0459",
["obtiznost"] = 1.6548,
["reseni"] = {
["float"] = 1131.1666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6787,
["jmenovatel"] = 6 },
["render"] = "\\frac{27148}{24}",
["typ"] = "cislo" },
["tex"] = "1131\\frac{1}{6}",
["x"] = 1131,
["y"] = 1,
["z"] = 6 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 4\\frac{5}{10})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(9 - 4\\frac{5}{10})^3 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "18 - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{11}}{18 - (-18)}",
["typ"] = "lomeno" },
["render"] = "\\frac{(9 - 4\\frac{5}{10})^3 + (-14)}{\\frac{2\\frac{5}{11}}{18 - (-18)}}",
["typ"] = "lomeno" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.97, bodu=187, $$8 + 3\frac{5}{11} - 3\frac{4}{15} \cdot 10 \cdot 4\frac{5}{8} \cdot 7=\textcolor{white}{-1046\frac{17}{132}}$$return {
["body"] = 187,
["id"] = "xlc2QI_0404_0459",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -1046.1287878788,
["objekt"] = {
["hodnota"] = {
["citatel"] = -138089,
["jmenovatel"] = 132 },
["render"] = "\\frac{-138089}{132}",
["typ"] = "cislo" },
["tex"] = "-1046\\frac{17}{132}",
["x"] = -1046,
["y"] = 17,
["z"] = 132 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 15 },
["render"] = "3\\frac{4}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{15} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{15} \\cdot 10 \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{15} \\cdot 10 \\cdot 4\\frac{5}{8} \\cdot 7",
["typ"] = "krat" },
["render"] = "8 + 3\\frac{5}{11} - 3\\frac{4}{15} \\cdot 10 \\cdot 4\\frac{5}{8} \\cdot 7",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.98, bodu=125, $$13 \cdot -15 \cdot 2\frac{4}{9} \cdot -21 - (-19 + 11)=\textcolor{white}{10018}$$return {
["body"] = 125,
["id"] = "OHCV9a_0404_0459",
["obtiznost"] = 1.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10018,
["jmenovatel"] = 1 },
["render"] = "\\frac{10018}{1}",
["typ"] = "cislo" },
["tex"] = "10018",
["x"] = 10018 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "13 \\cdot -15 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "13 \\cdot -15 \\cdot 2\\frac{4}{9} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-19 + 11",
["typ"] = "plus" },
["render"] = "(-19 + 11)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot -15 \\cdot 2\\frac{4}{9} \\cdot -21 - (-19 + 11)",
["typ"] = "minus" } }
seed: 3Pb7StSMVQRmEb8b0xar_0.99, bodu=225, $$\frac{15}{-14 + 2\frac{2}{4}} - (4\frac{3}{7} \cdot 1\frac{3}{7} + 4\frac{2}{11} + (-21))=\textcolor{white}{9\frac{2322}{12397}}$$return {
["body"] = 225,
["id"] = "pVmE1J_0404_0459",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 9.18730337985,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113895,
["jmenovatel"] = 12397 },
["render"] = "\\frac{113895}{12397}",
["typ"] = "cislo" },
["tex"] = "9\\frac{2322}{12397}",
["x"] = 9,
["y"] = 2322,
["z"] = 12397 },
["seed"] = "3Pb7StSMVQRmEb8b0xar_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{15}{-14 + 2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{11} + (-21)",
["typ"] = "plus" },
["render"] = "4\\frac{3}{7} \\cdot 1\\frac{3}{7} + 4\\frac{2}{11} + (-21)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} \\cdot 1\\frac{3}{7} + 4\\frac{2}{11} + (-21))",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{-14 + 2\\frac{2}{4}} - (4\\frac{3}{7} \\cdot 1\\frac{3}{7} + 4\\frac{2}{11} + (-21))",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
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: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
bounce1.gif: 
celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 